Metrics for quad2p (problem 3.2.1, positive)

start0.0ms (0%)

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

analyze131.0ms (2.2%)

Memory

13.6MiB live, 156.6MiB allocated; 34ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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 (25.4%)

Memory

23.7MiB live, 1 650.0MiB allocated; 377ms collecting garbage

Samples

424.0ms	5 533×	0	valid
305.0ms	1 384×	1	valid
264.0ms	1 183×	2	valid
81.0ms	1 099×	0	invalid
49.0ms	156×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 802.0ms

ival-mult: 201.0ms (25.1% of total)

ival-add: 140.0ms (17.5% of total)

adjust: 130.0ms (16.2% of total)

ival-sqrt: 107.0ms (13.3% of total)

ival-div: 94.0ms (11.7% of total)

ival-sub: 71.0ms (8.9% of total)

ival-neg: 55.0ms (6.9% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain138.0ms (2.3%)

Memory

31.4MiB live, 169.4MiB allocated; 13ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
93	-	1	(-2.872085318932123e-265 -3.7677146952883266e-156 5.385436410590751e-160)	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
59	-	0	-	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
18	-	1	(-2.5518613824092966e-110 1.2804480086320608e+264 1.427938619398472e+56)	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
5	-	0	-	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`
0	-	0	-	`(*.f64 b_2 b_2)`
0	-	0	-	`a`
0	-	0	-	`(neg.f64 b_2)`
0	-	0	-	`b_2`
0	-	0	-	`(*.f64 a c)`
0	-	0	-	`c`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	oflow-rescue	86	0
↳	`(*.f64 b_2 b_2)`	overflow	71
↳	`(*.f64 a c)`	overflow	22
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	overflow	86
`+.f64`	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	cancellation	59	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`	u/n	16	0
↳	`(*.f64 b_2 b_2)`	underflow	49
↳	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	underflow	28
↳	`(*.f64 a c)`	underflow	32
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	6
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	uflow-rescue	6	0
↳	`(*.f64 b_2 b_2)`	underflow	49
↳	`(*.f64 a c)`	underflow	32
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	6
`-.f64`	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	nan-rescue	5	0
↳	`(*.f64 b_2 b_2)`	overflow	71
↳	`(*.f64 a c)`	overflow	22
`/.f64`	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`	o/n	1	0
↳	`(*.f64 b_2 b_2)`	overflow	71
↳	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	overflow	1
↳	`(*.f64 a c)`	overflow	22
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	overflow	86

Confusion

	Predicted +	Predicted -
+	122	1
-	14	119

Precision

0.8970588235294118

Recall

0.991869918699187

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	122	0	1
-	14	0	119

Precision?

0.8970588235294118

Recall?

0.991869918699187

Freqs

test

number	freq
0	120
1	103
2	29
3	4

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

25.0ms	338×	0	valid
17.0ms	76×	2	valid
15.0ms	86×	1	valid
4.0ms	12×	3	valid

Compiler

Compiled 117 to 34 computations (70.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 9.0ms (24.1% of total)

adjust: 7.0ms (18.7% of total)

ival-sqrt: 6.0ms (16.1% of total)

ival-div: 5.0ms (13.4% of total)

ival-add: 4.0ms (10.7% of total)

ival-sub: 3.0ms (8% of total)

ival-neg: 2.0ms (5.4% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

preprocess25.0ms (0.4%)

Memory

-26.1MiB live, 23.6MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	131
1	127	129
2	247	129
3	400	129
4	521	129
5	574	129
6	590	129
0	10	13
0	17	13
1	28	13
2	53	13
3	98	13
4	133	13
5	145	13
6	157	13
7	170	13
0	170	13

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Outputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (neg.f64 b_2)) a)

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.2%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Compiler

Compiled 13 to 10 computations (23.1% saved)

series22.0ms (0.4%)

Memory

26.4MiB live, 26.4MiB allocated; 0ms 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:

Time	Variable		Point	Expression
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	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)

rewrite127.0ms (2.1%)

Memory

-16.3MiB live, 118.4MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	627	4205
0	638	3945
0	3529	3875

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

116 → 136

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 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (neg.f64 b_2))) (neg.f64 a))
(/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (neg.f64 b_2)) a)
(+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a))
(/.f64 (-.f64 (.f64 b_2 b_2) (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 b_2) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) #s(literal 3 binary64))) (+.f64 (.f64 b_2 b_2) (-.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))))
(+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (neg.f64 b_2))
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(*.f64 #s(literal -1 binary64) b_2)
(*.f64 b_2 #s(literal -1 binary64))
(neg.f64 b_2)
b_2
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 (.f64 c a) (.f64 c a))) (+.f64 (.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)) (+.f64 (.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))) (+.f64 (.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)))))
(-.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) (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 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) (+.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b_2 #s(literal 5 binary64))) (.f64 (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 binary64))) #s(literal -1/8 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) (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 a (/.f64 (.f64 (ratio-of-squares.f64 (.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64)) (.f64 #s(literal 1/16 binary64) (ratio-of-squares.f64 (pow.f64 c #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 5/2 binary64))))) a) (.f64 (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 binary64))) #s(literal -1/8 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 (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 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 (+.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b_2 #s(literal 5 binary64))) (.f64 (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 binary64))) #s(literal -1/8 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 (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 a (/.f64 (.f64 (ratio-of-squares.f64 (.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64)) (.f64 #s(literal 1/16 binary64) (ratio-of-squares.f64 (pow.f64 c #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 5/2 binary64))))) a) (.f64 (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 binary64))) #s(literal -1/8 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))) (+.f64 (.f64 (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)) b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (+.f64 (.f64 (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 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))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b_2 #s(literal 5 binary64))) (.f64 (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 binary64))) #s(literal -1/8 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)) (-.f64 (.f64 b_2 b_2) (.f64 c a)))
#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) (+.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (+.f64 (/.f64 (neg.f64 b_2) a) (.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) (+.f64 (+.f64 (.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 (.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))))) (/.f64 (neg.f64 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 (+.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (.f64 (/.f64 c a) #s(literal -1 binary64)))) a))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.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 (.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 (+.f64 (.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 (.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 (+.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 (.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 (+.f64 (.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 (.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 (+.f64 (+.f64 (.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)) (+.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 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (.f64 (/.f64 c a) #s(literal -1 binary64))))) (.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))) 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) (.f64 #s(literal -1 binary64) (+.f64 (/.f64 b_2 a) (sqrt.f64 (.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (.f64 (/.f64 c a) #s(literal -1 binary64))) (/.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(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (.f64 (/.f64 c a) #s(literal -1 binary64))) (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (.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 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)))) a)) b_2) 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 (.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 a) (+.f64 (neg.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)) (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) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (.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 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)))) a)) b_2) a)) (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) (+.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 (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) (+.f64 (.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)) (+.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 (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) (+.f64 (+.f64 (.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)) (+.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 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2))) (sqrt.f64 (.f64 (/.f64 c a) #s(literal -1 binary64))))) (.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)))))
#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) (+.f64 (.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) (+.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (ratio-of-squares.f64 b_2 (pow.f64 (sqrt.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 #s(literal -1/2 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (pow.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) c) #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)))) (+.f64 (.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)))) (+.f64 (.f64 (-.f64 (.f64 (+.f64 (.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) (pown3/2s.f64 (.f64 c a))) (ratio-of-squares.f64 b_2 (pow.f64 (sqrt.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 b_2 b_2)
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (+.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)))) (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (+.f64 (.f64 (+.f64 (.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) (pown3/2s.f64 (.f64 c a))) (ratio-of-squares.f64 b_2 (pow.f64 (sqrt.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))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 (pow.f64 (.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (ratio-of-squares.f64 b_2 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5/2 binary64)))) (.f64 (.f64 #s(literal -1/8 binary64) (pown3/2s.f64 (.f64 c a))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)))) (.f64 b_2 b_2)) (.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 (- (* b_2 b_2) (* a c)) (-.f64 (.f64 b_2 b_2) (.f64 c a)))
#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 (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c 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 (+.f64 (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (.f64 #s(literal -1/2 binary64) c)) (.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))) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (+.f64 (+.f64 (.f64 #s(literal -1/2 binary64) c) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) #s(literal 5/64 binary64))) (.f64 (pow.f64 b_2 #s(literal 6 binary64)) a))) (+.f64 (.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 a (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)))) b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (+.f64 (.f64 (.f64 (.f64 a a) (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 c a))) b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (+.f64 (+.f64 (.f64 (.f64 (.f64 a a) (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 c a))) (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))) b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (+.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) #s(literal 5/64 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))) (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 4 binary64))) (.f64 (.f64 (.f64 a a) (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)))) b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2)) #s(literal 1 binary64)) b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2)) #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 (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 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)))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2))) #s(literal 1 binary64)) b_2))
#s(approx (- (* b_2 b_2) (* a c)) (.f64 (+.f64 (/.f64 (.f64 (neg.f64 a) c) (.f64 b_2 b_2)) #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) (+.f64 (/.f64 #s(literal 2 binary64) a) (.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 b_2) (+.f64 (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c (.f64 b_2 b_2))) #s(literal -1/8 binary64)) (/.f64 #s(literal 2 binary64) a)) (.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 b_2) (+.f64 (+.f64 (.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64)) (.f64 (.f64 a (ratio-of-squares.f64 c (.f64 b_2 b_2))) #s(literal -1/8 binary64))) (+.f64 (.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) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2)) #s(literal 2 binary64))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 b_2) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2)) #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 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2)) #s(literal 2 binary64)) (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 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) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2)) #s(literal 1 binary64))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (neg.f64 b_2) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2)) #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 (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 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)))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2))) #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 (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (.f64 a a) c)) (pow.f64 b_2 #s(literal 5 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 (+.f64 (.f64 (-.f64 (.f64 (.f64 (/.f64 c a) (/.f64 (.f64 (ratio-of-squares.f64 (.f64 a a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64)) (.f64 #s(literal 1/16 binary64) (ratio-of-squares.f64 a (pow.f64 b_2 #s(literal 5/2 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 (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a a) c)) (pow.f64 b_2 #s(literal 3 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 (+.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b_2 #s(literal 5 binary64))) (.f64 (ratio-of-squares.f64 a (pow.f64 b_2 #s(literal 3/2 binary64))) #s(literal -1/8 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 (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 c (/.f64 (.f64 (ratio-of-squares.f64 (.f64 a a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64)) (.f64 #s(literal 1/16 binary64) (ratio-of-squares.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 5/2 binary64))))) c) (.f64 (ratio-of-squares.f64 a (pow.f64 b_2 #s(literal 3/2 binary64))) #s(literal -1/8 binary64))) c) (.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (+.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a a) c)) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c) b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b_2 #s(literal 5 binary64))) (.f64 (ratio-of-squares.f64 a (pow.f64 b_2 #s(literal 3/2 binary64))) #s(literal -1/8 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 (+.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 c a) #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) (.f64 (+.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pown3/2s.f64 (.f64 c a))) (/.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)))) (/.f64 (neg.f64 b_2) (.f64 c a))) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (+.f64 (+.f64 (.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)))) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pown3/2s.f64 (.f64 c a))) (/.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))))) (/.f64 (neg.f64 b_2) (*.f64 c a))) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (+.f64 (sqrt.f64 (.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 (neg.f64 b_2) c)) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (+.f64 (.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 (+.f64 (.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 (.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 (+.f64 (.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 (+.f64 (.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 (.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 (+.f64 (+.f64 (.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)) (+.f64 (.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))))) (.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))) 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) (+.f64 (sqrt.f64 (.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #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) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 b_2) a) (.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)))) c)) (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) (+.f64 (neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (+.f64 (.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))) c)) (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) (+.f64 (sqrt.f64 (.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 b_2 c))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) (+.f64 (neg.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)) (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) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (.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)) (sqrt.f64 (.f64 (/.f64 a c) #s(literal -1 binary64))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (neg.f64 c) (+.f64 (.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) (+.f64 (.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)) (+.f64 (.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) (+.f64 (+.f64 (.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)) (+.f64 (.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))))) (.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)))))
#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))))

eval588.0ms (9.9%)

Memory

-39.7MiB live, 177.9MiB allocated; 915ms collecting garbage

Samples

497.0ms	2 193×	0	invalid
34.0ms	879×	0	valid

Compiler

Compiled 4 769 to 841 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 56.0ms (72.1% of total)

ival-div: 11.0ms (14.2% of total)

ival-pow: 5.0ms (6.4% of total)

ival-true: 2.0ms (2.6% of total)

ival-sqrt: 2.0ms (2.6% of total)

adjust: 1.0ms (1.3% of total)

ival-assert: 1.0ms (1.3% of total)

exact: 0.0ms (0% of total)

prune46.0ms (0.8%)

Memory

-45.8MiB live, 50.6MiB allocated; 17ms collecting garbage

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	126	15	141
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	126	16	142

Accuracy

99.5%

Counts

142 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.7%	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) a)
✓	54.2%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	33.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
	11.3%	(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
	19.4%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (+.f64 (sqrt.f64 (.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 (neg.f64 b_2) c)) c)) a)
▶	15.7%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) (+.f64 (sqrt.f64 (.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 b_2 c)))) a)
	29.3%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
▶	54.1%	(+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a))
▶	35.6%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) c)) b_2))
	15.5%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
	35.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
	32.7%	#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))
	32.2%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 c) (+.f64 (sqrt.f64 (.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 b_2 a) c))))
▶	36.2%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
▶	13.5%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
	17.8%	#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)))))

Samples

19.0ms

512×

valid

Compiler

Compiled 707 to 486 computations (31.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 6.0ms (61.5% of total)

ival-div: 3.0ms (30.8% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series64.0ms (1.1%)

Memory

29.8MiB live, 74.4MiB allocated; 6ms collecting garbage

Counts

38 → 223

Calls

Call 1

Inputs
(+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a))
(/.f64 (neg.f64 b_2) a)
(neg.f64 b_2)
b_2
a
(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a)
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(*.f64 b_2 b_2)
(*.f64 c a)
c
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
#s(literal -2 binary64)
(/.f64 b_2 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)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) c)) b_2))
(/.f64 (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) c)) b_2)
(+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) c))
(.f64 (.f64 a (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64))
(*.f64 a (ratio-of-squares.f64 c b_2))
(ratio-of-squares.f64 c b_2)
#s(literal -1/8 binary64)
(*.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) (+.f64 (sqrt.f64 (.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 b_2 c)))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) (+.f64 (sqrt.f64 (.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 b_2 c))))
(.f64 (neg.f64 c) (+.f64 (sqrt.f64 (.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 b_2 c)))
(neg.f64 c)
(+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 b_2 c))
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))
(*.f64 (/.f64 a c) #s(literal -1 binary64))
(/.f64 a c)
(/.f64 b_2 c)

Outputs
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) #s(hole binary64 (/ (+ b_2 (* -1 b_2)) a)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) #s(hole binary64 (/ (+ b_2 (+ (* -1 b_2) (* -1/2 (/ (* a c) b_2)))) a)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) #s(hole binary64 (/ (+ b_2 (+ (* -1 b_2) (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))) a)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) #s(hole binary64 (/ (+ b_2 (+ (* -1 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))))))))) a)))
#s(approx (/ (neg b_2) a) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx a #s(hole binary64 a))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (/ b_2 a)))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (/ (+ b_2 (* -1/2 (/ (* a c) b_2))) a)))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (/ (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) a)))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) #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)))))))) a)))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 b_2))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (+ b_2 (* -1/2 (/ (* a c) b_2)))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #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) (* c a))) #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) (* c a)) #s(hole binary64 (pow b_2 2)))
#s(approx (- (* b_2 b_2) (* c a)) #s(hole binary64 (+ (* -1 (* a c)) (pow b_2 2))))
#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 (* -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 (* -2 (/ b_2 a)) #s(hole binary64 (* -2 (/ b_2 a))))
#s(approx (/ b_2 a) #s(hole binary64 (/ b_2 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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (* -1/2 c)))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))))
#s(approx (* (* a (/ (* c c) (* b_2 b_2))) -1/8) #s(hole binary64 (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))))
#s(approx (* a (/ (* c c) (* b_2 b_2))) #s(hole binary64 (/ (* a (pow c 2)) (pow b_2 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 (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
#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) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) #s(hole binary64 (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) 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) a) (/ (sqrt (- (* b_2 b_2) (* c a))) 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 (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (+ (* 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) (* c a))) a) #s(hole binary64 (+ (* -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) (* c a))) a) #s(hole binary64 (+ (* -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 (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #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) (* c a))) #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) (* c a))) #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) (* c a)) #s(hole binary64 (* -1 (* a c))))
#s(approx (- (* b_2 b_2) (* c a)) #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 (* (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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
#s(approx (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (* a (+ (* -1/2 (/ c a)) (* -1/8 (/ (pow c 2) (pow b_2 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 (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -1))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (* a (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) 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) a) (/ (sqrt (- (* b_2 b_2) (* c a))) 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 (/ (sqrt (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1))))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #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) (* c a))) #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) (* c a))) #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) (* c a)) #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 (* -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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 2))) (* 1/2 (/ c 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 (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (sqrt (* (/ a c) -1)) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) 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) a) (/ (sqrt (- (* b_2 b_2) (* c a))) 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) #s(hole binary64 (* -1 b_2)))
#s(approx b_2 #s(hole binary64 b_2))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (+ (* (sqrt (/ c a)) (sqrt -1)) (* (pow b_2 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)))))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (+ (* (sqrt (/ c a)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #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) (* c a))) #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) (* c a))) #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) (* c a)) #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 (+ (* 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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 2))))
#s(approx (/ (* c c) (* b_2 b_2)) #s(hole binary64 (/ (pow c 2) (pow b_2 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 c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (+ (* -1 b_2) (* -1 (* (sqrt (* a c)) (sqrt -1))))))
#s(approx (/ b_2 c) #s(hole binary64 (/ b_2 c)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) #s(hole binary64 (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) 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) a) (/ (sqrt (- (* b_2 b_2) (* c a))) 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 (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a)))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (/ 1 a))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (* 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))) (/ 1 a)))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #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) (* c a))) #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) (* c a)) #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 (/ (+ (* -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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #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)))) #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 (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* -1 b_2)))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* b_2 (- (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) 1))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (/ b_2 c)))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (* b_2 (+ (* (sqrt (/ a c)) (/ (sqrt -1) b_2)) (/ 1 c)))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) #s(hole binary64 (* -2 (/ b_2 a))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) 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) a) (/ (sqrt (- (* b_2 b_2) (* c a))) 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 (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) 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 a)))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) 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))) (/ 1 a))))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* -1 b_2)))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #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) (* c a))) #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 (* -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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) 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 (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* -1 (* b_2 (+ 1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (* -1 (* b_2 (- (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) b_2))) (/ 1 c))))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) #s(hole binary64 (+ (* -1 (/ b_2 a)) (/ b_2 a))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* -1/2 (/ c b_2)) (/ b_2 a)))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) (/ b_2 a)))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2)))) (/ b_2 a)))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (/ b_2 a))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (+ (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) (/ b_2 a))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) 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)))) (/ b_2 a))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #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) (* c a))) #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 (- (* -1/8 (/ (* 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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2))))
#s(approx (* -1/2 c) #s(hole binary64 (* -1/2 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 c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))))
#s(approx (neg c) #s(hole binary64 (* -1 c)))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) c)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) 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) a) (/ (sqrt (- (* b_2 b_2) (* c a))) 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 (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (* 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 (/ (sqrt (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (* 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 (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 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 (- (* b_2 b_2) (* c a))) #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) (* c a))) #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) (* c a))) #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) (* c a)) #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 (* 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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 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 (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ b_2 c))))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) 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) a) (/ (sqrt (- (* b_2 b_2) (* c a))) 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 (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (* -1 (* 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 (/ (sqrt (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 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 (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 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 (- (* b_2 b_2) (* c a))) #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) (* c a))) #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) (* c a))) #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) (* c a)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 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 (sqrt (* (/ c a) -1)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (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)))))))

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	c	@	inf	((+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (/ (neg b_2) a) (neg b_2) b_2 a (/ (sqrt (- (* b_2 b_2) (* c a))) a) (sqrt (- (* b_2 b_2) (* c a))) (- (* b_2 b_2) (* c a)) (* b_2 b_2) (* c a) c (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -2 (/ b_2 a)) -2 (/ b_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) (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* a (/ (* c c) (* b_2 b_2))) (/ (* c c) (* b_2 b_2)) -1/8 (* -1/2 c) -1/2 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (sqrt (* (/ a c) -1)) (* (/ a c) -1) (/ a c) (/ b_2 c))
9.0ms	c	@	0	((+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (/ (neg b_2) a) (neg b_2) b_2 a (/ (sqrt (- (* b_2 b_2) (* c a))) a) (sqrt (- (* b_2 b_2) (* c a))) (- (* b_2 b_2) (* c a)) (* b_2 b_2) (* c a) c (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -2 (/ b_2 a)) -2 (/ b_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) (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* a (/ (* c c) (* b_2 b_2))) (/ (* c c) (* b_2 b_2)) -1/8 (* -1/2 c) -1/2 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (sqrt (* (/ a c) -1)) (* (/ a c) -1) (/ a c) (/ b_2 c))
8.0ms	a	@	0	((+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (/ (neg b_2) a) (neg b_2) b_2 a (/ (sqrt (- (* b_2 b_2) (* c a))) a) (sqrt (- (* b_2 b_2) (* c a))) (- (* b_2 b_2) (* c a)) (* b_2 b_2) (* c a) c (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -2 (/ b_2 a)) -2 (/ b_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) (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* a (/ (* c c) (* b_2 b_2))) (/ (* c c) (* b_2 b_2)) -1/8 (* -1/2 c) -1/2 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (sqrt (* (/ a c) -1)) (* (/ a c) -1) (/ a c) (/ b_2 c))
6.0ms	a	@	inf	((+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (/ (neg b_2) a) (neg b_2) b_2 a (/ (sqrt (- (* b_2 b_2) (* c a))) a) (sqrt (- (* b_2 b_2) (* c a))) (- (* b_2 b_2) (* c a)) (* b_2 b_2) (* c a) c (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -2 (/ b_2 a)) -2 (/ b_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) (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* a (/ (* c c) (* b_2 b_2))) (/ (* c c) (* b_2 b_2)) -1/8 (* -1/2 c) -1/2 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (sqrt (* (/ a c) -1)) (* (/ a c) -1) (/ a c) (/ b_2 c))
5.0ms	a	@	-inf	((+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (/ (neg b_2) a) (neg b_2) b_2 a (/ (sqrt (- (* b_2 b_2) (* c a))) a) (sqrt (- (* b_2 b_2) (* c a))) (- (* b_2 b_2) (* c a)) (* b_2 b_2) (* c a) c (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -2 (/ b_2 a)) -2 (/ b_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) (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* a (/ (* c c) (* b_2 b_2))) (/ (* c c) (* b_2 b_2)) -1/8 (* -1/2 c) -1/2 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (sqrt (* (/ a c) -1)) (* (/ a c) -1) (/ a c) (/ b_2 c))

rewrite173.0ms (2.9%)

Memory

-14.8MiB live, 124.1MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	940	8442
0	982	7732
0	4999	7617

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

261 → 355

Calls

Call 1

Inputs
(+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a))
(/.f64 (neg.f64 b_2) a)
(neg.f64 b_2)
b_2
a
(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a)
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(*.f64 b_2 b_2)
(*.f64 c a)
c
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
#s(literal -2 binary64)
(/.f64 b_2 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)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) c)) b_2))
(/.f64 (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) c)) b_2)
(+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) c))
(.f64 (.f64 a (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64))
(*.f64 a (ratio-of-squares.f64 c b_2))
(ratio-of-squares.f64 c b_2)
#s(literal -1/8 binary64)
(*.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) (+.f64 (sqrt.f64 (.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 b_2 c)))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) (+.f64 (sqrt.f64 (.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 b_2 c))))
(.f64 (neg.f64 c) (+.f64 (sqrt.f64 (.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 b_2 c)))
(neg.f64 c)
(+.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 b_2 c))
(sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))
(*.f64 (/.f64 a c) #s(literal -1 binary64))
(/.f64 a c)
(/.f64 b_2 c)
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) #s(hole binary64 (/ (+ b_2 (* -1 b_2)) a)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) #s(hole binary64 (/ (+ b_2 (+ (* -1 b_2) (* -1/2 (/ (* a c) b_2)))) a)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) #s(hole binary64 (/ (+ b_2 (+ (* -1 b_2) (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))) a)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) #s(hole binary64 (/ (+ b_2 (+ (* -1 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))))))))) a)))
#s(approx (/ (neg b_2) a) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx a #s(hole binary64 a))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (/ b_2 a)))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (/ (+ b_2 (* -1/2 (/ (* a c) b_2))) a)))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (/ (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) a)))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) #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)))))))) a)))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 b_2))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (+ b_2 (* -1/2 (/ (* a c) b_2)))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #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) (* c a))) #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) (* c a)) #s(hole binary64 (pow b_2 2)))
#s(approx (- (* b_2 b_2) (* c a)) #s(hole binary64 (+ (* -1 (* a c)) (pow b_2 2))))
#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 (* -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 (* -2 (/ b_2 a)) #s(hole binary64 (* -2 (/ b_2 a))))
#s(approx (/ b_2 a) #s(hole binary64 (/ b_2 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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (* -1/2 c)))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))))
#s(approx (* (* a (/ (* c c) (* b_2 b_2))) -1/8) #s(hole binary64 (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))))
#s(approx (* a (/ (* c c) (* b_2 b_2))) #s(hole binary64 (/ (* a (pow c 2)) (pow b_2 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 (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
#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) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) #s(hole binary64 (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) 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) a) (/ (sqrt (- (* b_2 b_2) (* c a))) 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 (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (+ (* 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) (* c a))) a) #s(hole binary64 (+ (* -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) (* c a))) a) #s(hole binary64 (+ (* -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 (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #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) (* c a))) #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) (* c a))) #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) (* c a)) #s(hole binary64 (* -1 (* a c))))
#s(approx (- (* b_2 b_2) (* c a)) #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 (* (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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
#s(approx (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (* a (+ (* -1/2 (/ c a)) (* -1/8 (/ (pow c 2) (pow b_2 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 (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -1))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (* a (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) 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) a) (/ (sqrt (- (* b_2 b_2) (* c a))) 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 (/ (sqrt (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1))))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #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) (* c a))) #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) (* c a))) #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) (* c a)) #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 (* -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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 2))) (* 1/2 (/ c 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 (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (sqrt (* (/ a c) -1)) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) 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) a) (/ (sqrt (- (* b_2 b_2) (* c a))) 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) #s(hole binary64 (* -1 b_2)))
#s(approx b_2 #s(hole binary64 b_2))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (+ (* (sqrt (/ c a)) (sqrt -1)) (* (pow b_2 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)))))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (+ (* (sqrt (/ c a)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #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) (* c a))) #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) (* c a))) #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) (* c a)) #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 (+ (* 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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 2))))
#s(approx (/ (* c c) (* b_2 b_2)) #s(hole binary64 (/ (pow c 2) (pow b_2 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 c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (+ (* -1 b_2) (* -1 (* (sqrt (* a c)) (sqrt -1))))))
#s(approx (/ b_2 c) #s(hole binary64 (/ b_2 c)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) #s(hole binary64 (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) 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) a) (/ (sqrt (- (* b_2 b_2) (* c a))) 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 (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a)))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (/ 1 a))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (* 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))) (/ 1 a)))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #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) (* c a))) #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) (* c a)) #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 (/ (+ (* -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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #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)))) #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 (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* -1 b_2)))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* b_2 (- (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) 1))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (/ b_2 c)))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (* b_2 (+ (* (sqrt (/ a c)) (/ (sqrt -1) b_2)) (/ 1 c)))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) #s(hole binary64 (* -2 (/ b_2 a))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) 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) a) (/ (sqrt (- (* b_2 b_2) (* c a))) 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 (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) 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 a)))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) 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))) (/ 1 a))))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* -1 b_2)))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #s(hole binary64 (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #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) (* c a))) #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 (* -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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) 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 (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* -1 (* b_2 (+ 1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (* -1 (* b_2 (- (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) b_2))) (/ 1 c))))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) #s(hole binary64 (+ (* -1 (/ b_2 a)) (/ b_2 a))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* -1/2 (/ c b_2)) (/ b_2 a)))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) (/ b_2 a)))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2)))) (/ b_2 a)))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (/ b_2 a))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (+ (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) (/ b_2 a))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) 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)))) (/ b_2 a))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) #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) (* c a))) #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 (- (* -1/8 (/ (* 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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2))))
#s(approx (* -1/2 c) #s(hole binary64 (* -1/2 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 c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))))
#s(approx (neg c) #s(hole binary64 (* -1 c)))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) c)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) 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) a) (/ (sqrt (- (* b_2 b_2) (* c a))) 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 (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (* 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 (/ (sqrt (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (* 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 (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 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 (- (* b_2 b_2) (* c a))) #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) (* c a))) #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) (* c a))) #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) (* c a)) #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 (* 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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 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 (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ b_2 c))))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) 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) a) (/ (sqrt (- (* b_2 b_2) (* c a))) 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 (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (* -1 (* 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 (/ (sqrt (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 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 (- (* b_2 b_2) (* c a))) a) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 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 (- (* b_2 b_2) (* c a))) #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) (* c a))) #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) (* c a))) #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) (* c a)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 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 (sqrt (* (/ c a) -1)) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (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)))))))

Outputs
(/.f64 (-.f64 (.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (neg.f64 b_2) a)) (.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a))) (-.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a)))
(/.f64 (+.f64 (pow.f64 (/.f64 (neg.f64 b_2) a) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (neg.f64 b_2) a)) (-.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a)) (.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) a)))))
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (neg.f64 b_2))) (neg.f64 a))
(/.f64 (+.f64 (.f64 (neg.f64 b_2) a) (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (*.f64 a a))
(/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (neg.f64 b_2)) a)
(+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a))
(+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) 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)
b_2
a
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 a))
(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a)
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 (.f64 c a) (.f64 c a))) (+.f64 (.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)) (+.f64 (.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))) (+.f64 (.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)))))
(-.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 c) a))
(+.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)
c
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
#s(literal -2 binary64)
(/.f64 (neg.f64 b_2) (neg.f64 a))
(/.f64 b_2 a)
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (sqrt.f64 (/.f64 (neg.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 (/.f64 (neg.f64 c) a) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 (neg.f64 c) a))
(*.f64 (/.f64 c a) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 c a))
(/.f64 (neg.f64 c) a)
(neg.f64 (/.f64 c a))
(/.f64 (neg.f64 c) (neg.f64 a))
(/.f64 c a)
#s(literal -1 binary64)
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (/.f64 (-.f64 (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64))) (*.f64 #s(literal 1/2 binary64) c)) b_2))
(/.f64 (neg.f64 (-.f64 (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64))) (*.f64 #s(literal 1/2 binary64) c))) (neg.f64 b_2))
(/.f64 (-.f64 (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64))) (*.f64 #s(literal 1/2 binary64) c)) b_2)
(+.f64 (/.f64 (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64))) b_2) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+.f64 (.f64 (/.f64 c b_2) #s(literal -1/2 binary64)) (/.f64 (.f64 a (*.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64))) b_2))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) c) (.f64 #s(literal -1/2 binary64) c)) (.f64 (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64))) (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64))))) (-.f64 (.f64 #s(literal -1/2 binary64) c) (.f64 a (*.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64))) (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)))) (.f64 (.f64 #s(literal -1/2 binary64) c) (.f64 #s(literal -1/2 binary64) c))) (-.f64 (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64))) (*.f64 #s(literal -1/2 binary64) c)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) c) #s(literal 3 binary64)) (pow.f64 (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) c) (.f64 #s(literal -1/2 binary64) c)) (-.f64 (.f64 (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64))) (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)))) (.f64 (.f64 #s(literal -1/2 binary64) c) (.f64 a (*.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) c) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64))) (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)))) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) c) (.f64 #s(literal -1/2 binary64) c)) (.f64 (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64))) (*.f64 #s(literal -1/2 binary64) c)))))
(-.f64 (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64))) (*.f64 #s(literal 1/2 binary64) c))
(-.f64 (.f64 #s(literal -1/2 binary64) c) (.f64 #s(literal 1/8 binary64) (*.f64 (ratio-of-squares.f64 c b_2) a)))
(+.f64 (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64))) (*.f64 #s(literal -1/2 binary64) c))
(+.f64 (.f64 #s(literal -1/2 binary64) c) (.f64 a (*.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64))))
(.f64 (.f64 (ratio-of-squares.f64 c b_2) a) #s(literal -1/8 binary64))
(.f64 #s(literal -1/8 binary64) (.f64 (ratio-of-squares.f64 c b_2) a))
(.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)))
(/.f64 (.f64 (.f64 (.f64 c c) a) #s(literal -1/8 binary64)) (.f64 b_2 b_2))
(*.f64 (ratio-of-squares.f64 c b_2) a)
(*.f64 a (ratio-of-squares.f64 c b_2))
(/.f64 (neg.f64 (.f64 (.f64 c c) a)) (neg.f64 (*.f64 b_2 b_2)))
(/.f64 (.f64 (.f64 c c) a) (*.f64 b_2 b_2))
(*.f64 (/.f64 c b_2) (/.f64 c b_2))
(.f64 c (/.f64 c (.f64 b_2 b_2)))
(ratio-of-squares.f64 (pow.f64 c #s(literal 1 binary64)) (pow.f64 b_2 #s(literal 1 binary64)))
(ratio-of-squares.f64 (pow.f64 c #s(literal 1 binary64)) (fabs.f64 b_2))
(ratio-of-squares.f64 (pow.f64 c #s(literal 1 binary64)) (neg.f64 b_2))
(ratio-of-squares.f64 (pow.f64 c #s(literal 1 binary64)) b_2)
(ratio-of-squares.f64 (fabs.f64 c) (pow.f64 b_2 #s(literal 1 binary64)))
(ratio-of-squares.f64 (fabs.f64 c) (fabs.f64 b_2))
(ratio-of-squares.f64 (fabs.f64 c) (neg.f64 b_2))
(ratio-of-squares.f64 (fabs.f64 c) b_2)
(ratio-of-squares.f64 (neg.f64 c) (pow.f64 b_2 #s(literal 1 binary64)))
(ratio-of-squares.f64 (neg.f64 c) (fabs.f64 b_2))
(ratio-of-squares.f64 (neg.f64 c) (neg.f64 b_2))
(ratio-of-squares.f64 (neg.f64 c) b_2)
(ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 1 binary64)))
(ratio-of-squares.f64 c (fabs.f64 b_2))
(ratio-of-squares.f64 c (neg.f64 b_2))
(ratio-of-squares.f64 c b_2)
(/.f64 (/.f64 (*.f64 c c) b_2) b_2)
(/.f64 (neg.f64 (.f64 c c)) (neg.f64 (.f64 b_2 b_2)))
(/.f64 (.f64 c c) (.f64 b_2 b_2))
#s(literal -1/8 binary64)
(*.f64 #s(literal -1/2 binary64) c)
(*.f64 c #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)) (neg.f64 c)))) (neg.f64 a))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)) (neg.f64 c))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)) (neg.f64 c)))
(.f64 (.f64 (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)) c) #s(literal -1 binary64))
(*.f64 (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)) (neg.f64 c))
(*.f64 (neg.f64 c) (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)))
(.f64 #s(literal -1 binary64) (.f64 (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)) c))
(neg.f64 (*.f64 (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)) c))
(+.f64 (.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (neg.f64 c)) (.f64 (/.f64 b_2 c) (neg.f64 c)))
(+.f64 (.f64 (neg.f64 c) (sqrt.f64 (/.f64 (neg.f64 a) c))) (.f64 (neg.f64 c) (/.f64 b_2 c)))
(*.f64 #s(literal -1 binary64) c)
(*.f64 c #s(literal -1 binary64))
(neg.f64 c)
(/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (sqrt.f64 (/.f64 (neg.f64 a) c))) (.f64 (/.f64 b_2 c) (/.f64 b_2 c))) (-.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) #s(literal 3 binary64)) (pow.f64 (/.f64 b_2 c) #s(literal 3 binary64))) (+.f64 (.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (sqrt.f64 (/.f64 (neg.f64 a) c))) (-.f64 (.f64 (/.f64 b_2 c) (/.f64 b_2 c)) (*.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)))))
(+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c))
(+.f64 (/.f64 b_2 c) (sqrt.f64 (/.f64 (neg.f64 a) c)))
(*.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)
(/.f64 (neg.f64 b_2) (neg.f64 c))
(/.f64 b_2 c)
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (*.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (/.f64 (+.f64 (.f64 #s(literal 0 binary64) b_2) (.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64))) a))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (/.f64 (+.f64 (.f64 #s(literal 0 binary64) b_2) (.f64 (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 binary64)))) #s(literal -1/8 binary64)) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)) a))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (/.f64 (+.f64 (.f64 #s(literal 0 binary64) b_2) (.f64 (+.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b_2 #s(literal 5 binary64))) (.f64 (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 binary64))) #s(literal -1/8 binary64))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)) a))
#s(approx (/ (neg b_2) a) (/.f64 (neg.f64 b_2) a))
#s(approx a a)
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) (/.f64 b_2 a))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) (/.f64 (+.f64 (.f64 (/.f64 (.f64 c a) b_2) #s(literal -1/2 binary64)) b_2) a))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) (/.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 binary64)))) #s(literal -1/8 binary64)) (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a) b_2) a))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) (/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b_2 #s(literal 5 binary64))) (.f64 (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 binary64))) #s(literal -1/8 binary64))) a) (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a) b_2) a))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) b_2)
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (+.f64 (.f64 (/.f64 (.f64 c a) b_2) #s(literal -1/2 binary64)) b_2))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (+.f64 (.f64 (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 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) (* c a))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b_2 #s(literal 5 binary64))) (.f64 (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 binary64))) #s(literal -1/8 binary64))) a) (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a) b_2))
#s(approx (- (* b_2 b_2) (* c a)) (*.f64 b_2 b_2))
#s(approx (- (* b_2 b_2) (* c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a)))
#s(approx (* c a) (*.f64 c a))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 binary64)))) #s(literal -1/8 binary64)) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (+.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b_2 #s(literal 5 binary64))) (.f64 (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 binary64))) #s(literal -1/8 binary64))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 a (/.f64 (.f64 (ratio-of-squares.f64 (.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64)) (.f64 #s(literal 1/16 binary64) (ratio-of-squares.f64 (pow.f64 c #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 5/2 binary64))))) a) (.f64 (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 binary64))) #s(literal -1/8 binary64))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (* -2 (/ b_2 a)) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
#s(approx (/ b_2 a) (/.f64 b_2 a))
#s(approx (sqrt (* (/ c a) -1)) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (* (/ c a) -1) (/.f64 (neg.f64 c) a))
#s(approx (/ c a) (/.f64 c a))
#s(approx (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 binary64)))) #s(literal -1/8 binary64)) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (-.f64 (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64))) (*.f64 #s(literal 1/2 binary64) c)))
#s(approx (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64))))
#s(approx (* a (/ (* c c) (* b_2 b_2))) (*.f64 (ratio-of-squares.f64 c b_2) a))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (/.f64 (.f64 c a) b_2) #s(literal -1/2 binary64)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 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 (+.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b_2 #s(literal 5 binary64))) (.f64 (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 binary64))) #s(literal -1/8 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 (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 a (/.f64 (.f64 (ratio-of-squares.f64 (.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64)) (.f64 #s(literal 1/16 binary64) (ratio-of-squares.f64 (pow.f64 c #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 5/2 binary64))))) a) (.f64 (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 binary64))) #s(literal -1/8 binary64))) a) (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (*.f64 (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)) (neg.f64 c)))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 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) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (+.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) (/.f64 (neg.f64 b_2) a)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (+.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 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (neg.f64 c) a))) (/.f64 (neg.f64 b_2) a)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (+.f64 (+.f64 (.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 (.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 (neg.f64 c) a)))) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) (+.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 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) (+.f64 (.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 (.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 (neg.f64 c) a)))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) (+.f64 (+.f64 (.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)) (+.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 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (neg.f64 c) a)))) (.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))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (sqrt.f64 (*.f64 (neg.f64 a) c)))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (.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 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (neg.f64 c) a))) a))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (.f64 (+.f64 (.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 (.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 (neg.f64 c) a)))) a))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (.f64 (+.f64 (+.f64 (.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)) (+.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 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (neg.f64 c) a)))) (.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))) a))
#s(approx (- (* b_2 b_2) (* c a)) (*.f64 (neg.f64 a) c))
#s(approx (- (* b_2 b_2) (* c a)) (.f64 (-.f64 (/.f64 (.f64 b_2 b_2) a) c) a))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (+.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) (/.f64 (neg.f64 b_2) a)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (+.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 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (neg.f64 c) a))) (/.f64 (neg.f64 b_2) a)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (+.f64 (+.f64 (.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 (.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 (neg.f64 c) a)))) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (.f64 (.f64 a (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 binary64)))) #s(literal -1/8 binary64)))
#s(approx (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (.f64 (+.f64 (.f64 (/.f64 (/.f64 c a) b_2) #s(literal -1/2 binary64)) (*.f64 (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 binary64))) #s(literal -1/8 binary64))) a))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 (-.f64 (.f64 (/.f64 c a) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (ratio-of-squares.f64 c 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 (+.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) (/.f64 (neg.f64 b_2) a)) a))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (-.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 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 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 (+.f64 (.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 (+.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 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (neg.f64 c) a))) (/.f64 b_2 a))) a))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (*.f64 (+.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (/.f64 (neg.f64 b_2) a)) a))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (sqrt.f64 (/.f64 (neg.f64 a) c)))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (.f64 (+.f64 (/.f64 (/.f64 b_2 a) c) (sqrt.f64 (.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))) a))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (+.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (/.f64 (neg.f64 b_2) a)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) (/.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(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (.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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)))) a)) b_2) a))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) (+.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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) (+.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 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))) (.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))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) (+.f64 (+.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 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2))) (.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))) (.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))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (neg.f64 (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (.f64 (neg.f64 a) (+.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 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2))) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (.f64 (neg.f64 a) (+.f64 (.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)) (+.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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) (sqrt.f64 (/.f64 (neg.f64 c) a))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (.f64 (neg.f64 a) (+.f64 (+.f64 (.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)) (+.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 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2))) (sqrt.f64 (/.f64 (neg.f64 c) a)))) (.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)))))
#s(approx (- (* b_2 b_2) (* c a)) (.f64 (neg.f64 a) (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 b_2 b_2) a) c))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (+.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (/.f64 (neg.f64 b_2) a)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) (/.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(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)) (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (.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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)))) a)) b_2) a))))
#s(approx (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (.f64 (neg.f64 a) (-.f64 (.f64 #s(literal 1/8 binary64) (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 binary64)))) (*.f64 (/.f64 (/.f64 c a) b_2) #s(literal -1/2 binary64)))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 (neg.f64 a) (-.f64 (.f64 #s(literal 1/8 binary64) (ratio-of-squares.f64 c b_2)) (*.f64 (/.f64 c a) #s(literal -1/2 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) (+.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) (+.f64 (neg.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)) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 a) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (.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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)))) a)) b_2) a)) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (sqrt.f64 (*.f64 (neg.f64 a) c)))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (*.f64 (neg.f64 a) (+.f64 (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))) (/.f64 b_2 a))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (.f64 (neg.f64 a) (+.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))))))
#s(approx (sqrt (* (/ a c) -1)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (+.f64 (.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) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (+.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (ratio-of-squares.f64 b_2 (pow.f64 (sqrt.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 #s(literal -1/2 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))))) b_2) (pow.f64 a #s(literal -1 binary64))) b_2) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (neg b_2) (neg.f64 b_2))
#s(approx b_2 b_2)
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) (+.f64 (.f64 (-.f64 (.f64 (.f64 (ratio-of-squares.f64 b_2 (pow.f64 (sqrt.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 #s(literal -1/2 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (pow.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))))) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64))) (.f64 #s(literal -1/16 binary64) (.f64 (ratio-of-squares.f64 b_2 (pow.f64 (sqrt.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))))))) (.f64 b_2 b_2)) (.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)))) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (+.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)))) (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (+.f64 (.f64 (+.f64 (.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) (pown3/2s.f64 (.f64 c a))) (ratio-of-squares.f64 b_2 (pow.f64 (sqrt.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) (* c a))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 (pow.f64 (.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (ratio-of-squares.f64 b_2 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5/2 binary64)))) (.f64 (.f64 #s(literal -1/8 binary64) (pown3/2s.f64 (.f64 c a))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)))) (.f64 b_2 b_2)) (.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 (- (* b_2 b_2) (* c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a)))
#s(approx (* b_2 b_2) (*.f64 b_2 b_2))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (+.f64 (.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) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (+.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (ratio-of-squares.f64 b_2 (pow.f64 (sqrt.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 #s(literal -1/2 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))))) b_2) (pow.f64 a #s(literal -1 binary64))) b_2) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (/.f64 (-.f64 (.f64 (.f64 (.f64 b_2 b_2) c) #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 c c) a))) (pow.f64 b_2 #s(literal 3 binary64))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (/.f64 (-.f64 (.f64 (.f64 (.f64 b_2 b_2) c) #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 c c) a))) (*.f64 b_2 b_2)))
#s(approx (/ (* c c) (* b_2 b_2)) (ratio-of-squares.f64 c 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)))) (+.f64 (.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)))) (+.f64 (.f64 (-.f64 (.f64 (+.f64 (.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) (pown3/2s.f64 (.f64 c a))) (ratio-of-squares.f64 b_2 (pow.f64 (sqrt.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 c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 (+.f64 (sqrt.f64 (*.f64 (neg.f64 a) c)) b_2)))
#s(approx (/ b_2 c) (/.f64 b_2 c))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (/.f64 (-.f64 (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64))) (*.f64 #s(literal 1/2 binary64) c)) b_2))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (/.f64 (+.f64 (+.f64 (.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 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)))) (.f64 #s(literal -1/2 binary64) c)) b_2))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (/.f64 (+.f64 (+.f64 (.f64 #s(literal -1/2 binary64) c) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) #s(literal 5/64 binary64))) (.f64 (pow.f64 b_2 #s(literal 6 binary64)) a))) (+.f64 (.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 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64))))) b_2))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) (.f64 (+.f64 (.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1 binary64))) b_2))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) (.f64 (+.f64 (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c (.f64 b_2 b_2))) #s(literal -1/8 binary64)) (pow.f64 a #s(literal -1 binary64))) (.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64))) b_2))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) (.f64 (+.f64 (+.f64 (.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64)) (.f64 (.f64 a (ratio-of-squares.f64 c (.f64 b_2 b_2))) #s(literal -1/8 binary64))) (+.f64 (.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)) (pow.f64 a #s(literal -1 binary64)))) b_2))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (.f64 (+.f64 (.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) (* c a))) (.f64 (+.f64 (+.f64 (.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) (* c a))) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64))) (.f64 (.f64 a (/.f64 c (.f64 b_2 b_2))) #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))) #s(literal 1 binary64)) b_2))
#s(approx (- (* b_2 b_2) (* c a)) (.f64 (+.f64 (/.f64 (.f64 (neg.f64 a) c) (.f64 b_2 b_2)) #s(literal 1 binary64)) (.f64 b_2 b_2)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (/.f64 (-.f64 (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64))) (*.f64 #s(literal 1/2 binary64) c)) b_2))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (/.f64 (+.f64 (+.f64 (.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 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)))) (.f64 #s(literal -1/2 binary64) c)) b_2))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (/.f64 (+.f64 (+.f64 (.f64 #s(literal -1/2 binary64) c) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) #s(literal 5/64 binary64))) (.f64 (pow.f64 b_2 #s(literal 6 binary64)) a))) (+.f64 (.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 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64))))) b_2))
#s(approx (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (/.f64 (-.f64 (.f64 a (.f64 (ratio-of-squares.f64 c 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)))) (/.f64 (+.f64 (.f64 (.f64 (.f64 a a) (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 c a))) b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (+.f64 (+.f64 (.f64 (.f64 (.f64 a a) (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 c a))) (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))) b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (+.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) #s(literal 5/64 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))) (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 4 binary64))) (.f64 (.f64 (.f64 a a) (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)))) b_2))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 b_2))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (.f64 (neg.f64 a) c)) b_2)) #s(literal 1 binary64)) b_2))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (/.f64 b_2 c))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (*.f64 (+.f64 (pow.f64 c #s(literal -1 binary64)) (/.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) b_2)) b_2))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (.f64 (neg.f64 b_2) (+.f64 (/.f64 #s(literal 2 binary64) a) (.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64)))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (.f64 (neg.f64 b_2) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) a) (.f64 (.f64 a (ratio-of-squares.f64 c (.f64 b_2 b_2))) #s(literal -1/8 binary64))) (.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64)))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (.f64 (neg.f64 b_2) (+.f64 (+.f64 (.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64)) (.f64 (.f64 a (ratio-of-squares.f64 c (.f64 b_2 b_2))) #s(literal -1/8 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) a) (.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))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) (/.f64 (neg.f64 b_2) a))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) (.f64 (neg.f64 b_2) (+.f64 (.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1 binary64)))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) (.f64 (neg.f64 b_2) (+.f64 (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c (.f64 b_2 b_2))) #s(literal -1/8 binary64)) (pow.f64 a #s(literal -1 binary64))) (.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64)))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) (.f64 (neg.f64 b_2) (+.f64 (+.f64 (.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64)) (.f64 (.f64 a (ratio-of-squares.f64 c (.f64 b_2 b_2))) #s(literal -1/8 binary64))) (+.f64 (.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)) (pow.f64 a #s(literal -1 binary64))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (neg.f64 b_2))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (.f64 (neg.f64 b_2) (+.f64 (.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) (* c a))) (.f64 (neg.f64 b_2) (+.f64 (+.f64 (.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) (* c a))) (.f64 (neg.f64 b_2) (+.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64))) (.f64 (.f64 a (/.f64 c (.f64 b_2 b_2))) #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))) #s(literal 1 binary64))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (.f64 (neg.f64 b_2) (+.f64 (/.f64 #s(literal 2 binary64) a) (.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64)))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (.f64 (neg.f64 b_2) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) a) (.f64 (.f64 a (ratio-of-squares.f64 c (.f64 b_2 b_2))) #s(literal -1/8 binary64))) (.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64)))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (.f64 (neg.f64 b_2) (+.f64 (+.f64 (.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64)) (.f64 (.f64 a (ratio-of-squares.f64 c (.f64 b_2 b_2))) #s(literal -1/8 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) a) (.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))))))
#s(approx (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (ratio-of-squares.f64 c b_2) a)) (*.f64 #s(literal -1/2 binary64) c)) 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) (+.f64 (.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 (+.f64 (.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 (+.f64 (.f64 (.f64 a (/.f64 c (.f64 b_2 b_2))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 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 c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (.f64 (neg.f64 b_2) (+.f64 (/.f64 (sqrt.f64 (.f64 (neg.f64 a) c)) b_2) #s(literal 1 binary64))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (*.f64 (neg.f64 b_2) (-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) b_2)) (pow.f64 c #s(literal -1 binary64)))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (*.f64 #s(literal 0 binary64) (/.f64 b_2 a)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (+.f64 (+.f64 (/.f64 b_2 a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) (/.f64 (neg.f64 b_2) a)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (+.f64 (+.f64 (/.f64 (neg.f64 b_2) 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 b_2 a)))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (+.f64 (+.f64 (/.f64 (neg.f64 b_2) a) (.f64 (-.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (.f64 a a) c)) (pow.f64 b_2 #s(literal 5 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)) (/.f64 b_2 a)))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) (+.f64 (/.f64 b_2 a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) (+.f64 (.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 b_2 a)))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) (+.f64 (.f64 (-.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (.f64 a a) c)) (pow.f64 b_2 #s(literal 5 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) (/.f64 b_2 a)))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (+.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a a) c)) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c) b_2))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b_2 #s(literal 5 binary64))) (.f64 (ratio-of-squares.f64 a (pow.f64 b_2 #s(literal 3/2 binary64))) #s(literal -1/8 binary64))) c) (.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c) b_2))
#s(approx c c)
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) 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) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (.f64 (-.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (.f64 a a) c)) (pow.f64 b_2 #s(literal 5 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) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (.f64 (-.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 (/.f64 c a) (/.f64 (.f64 (ratio-of-squares.f64 (.f64 a a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64)) (.f64 #s(literal 1/16 binary64) (ratio-of-squares.f64 a (pow.f64 b_2 #s(literal 5/2 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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (.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 (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 (-.f64 (.f64 (.f64 a (/.f64 c (.f64 b_2 b_2))) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) c))
#s(approx (* -1/2 c) (*.f64 #s(literal -1/2 binary64) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a a) c)) (pow.f64 b_2 #s(literal 3 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 (+.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b_2 #s(literal 5 binary64))) (.f64 (ratio-of-squares.f64 a (pow.f64 b_2 #s(literal 3/2 binary64))) #s(literal -1/8 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 (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 c (/.f64 (.f64 (ratio-of-squares.f64 (.f64 a a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64)) (.f64 #s(literal 1/16 binary64) (ratio-of-squares.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 5/2 binary64))))) c) (.f64 (ratio-of-squares.f64 a (pow.f64 b_2 #s(literal 3/2 binary64))) #s(literal -1/8 binary64))) c) (.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 (+.f64 (sqrt.f64 (*.f64 (neg.f64 a) c)) b_2)))
#s(approx (neg c) (neg.f64 c))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (/.f64 (+.f64 (sqrt.f64 (*.f64 (neg.f64 a) c)) b_2) c))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) 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) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (.f64 (+.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pown3/2s.f64 (.f64 c a))) (/.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)))) (/.f64 (neg.f64 b_2) (.f64 c a))) c))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (.f64 (+.f64 (+.f64 (.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)))) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pown3/2s.f64 (.f64 c a))) (/.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))))) (/.f64 (neg.f64 b_2) (*.f64 c a))) c))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) (.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pown3/2s.f64 (.f64 c a))) (/.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 (- (* b_2 b_2) (* c a))) a) (.f64 (+.f64 (.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)))) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pown3/2s.f64 (.f64 c a))) (/.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 (- (* b_2 b_2) (* c a))) a) (.f64 (+.f64 (+.f64 (.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 (pow.f64 (.f64 c a) #s(literal 7 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64)))) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pown3/2s.f64 (.f64 c a))) (/.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))))) (.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))))) c))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (.f64 (+.f64 (.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 (neg.f64 a) c))) c))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (.f64 (+.f64 (.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 (.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 (neg.f64 a) c)))) c))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (.f64 (+.f64 (+.f64 (.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)) (+.f64 (.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 (neg.f64 a) c)))) (.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))) c))
#s(approx (- (* b_2 b_2) (* c a)) (.f64 (-.f64 (/.f64 (.f64 b_2 b_2) c) a) c))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) 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) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (.f64 (+.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pown3/2s.f64 (.f64 c a))) (/.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)))) (/.f64 (neg.f64 b_2) (.f64 c a))) c))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (.f64 (+.f64 (+.f64 (.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)))) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pown3/2s.f64 (.f64 c a))) (/.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))))) (/.f64 (neg.f64 b_2) (*.f64 c a))) c))
#s(approx (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) 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))) (.f64 c c)))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 (-.f64 (.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) c)) (.f64 c c)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (/.f64 (neg.f64 b_2) c) (sqrt.f64 (/.f64 (neg.f64 a) c))) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (-.f64 (+.f64 (.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 (neg.f64 a) c))) (/.f64 b_2 c)) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (+.f64 (.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 (+.f64 (.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 (neg.f64 a) c))) (/.f64 b_2 c))) c))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (*.f64 (+.f64 (/.f64 (neg.f64 b_2) c) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)))) c))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) 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 (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 b_2) a) (.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)))) c)) (sqrt.f64 (.f64 (pow.f64 (.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (+.f64 (.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))) c)) (sqrt.f64 (.f64 (pow.f64 (.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) (.f64 (neg.f64 c) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pown3/2s.f64 (.f64 c a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2))) (sqrt.f64 (.f64 (pow.f64 (.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) (.f64 (neg.f64 c) (+.f64 (.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)) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pown3/2s.f64 (.f64 c a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2))) (sqrt.f64 (.f64 (pow.f64 (.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))))
#s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) (.f64 (neg.f64 c) (+.f64 (+.f64 (.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 (pow.f64 (.f64 c a) #s(literal 7 binary64)) #s(literal -1 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pown3/2s.f64 (.f64 c a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2))) (sqrt.f64 (.f64 (pow.f64 (.f64 c a) #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 5 binary64)) #s(literal -1 binary64)))) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (.f64 (neg.f64 c) (+.f64 (.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 (neg.f64 a) c)))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (.f64 (neg.f64 c) (+.f64 (.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)) (+.f64 (.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 (neg.f64 a) c))))))
#s(approx (sqrt (- (* b_2 b_2) (* c a))) (.f64 (neg.f64 c) (+.f64 (+.f64 (.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)) (+.f64 (.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 (neg.f64 a) c)))) (.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)))))
#s(approx (- (* b_2 b_2) (* c a)) (.f64 (neg.f64 c) (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 b_2 b_2) c) a))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) 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 (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 b_2) a) (.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)))) c)) (sqrt.f64 (.f64 (pow.f64 (.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (+ (/ (neg b_2) a) (/ (sqrt (- (* b_2 b_2) (* c a))) a)) (.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (+.f64 (.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))) c)) (sqrt.f64 (.f64 (pow.f64 (.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (sqrt (* (/ c a) -1)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)) (neg.f64 c)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) (+.f64 (neg.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)) (sqrt.f64 (/.f64 (neg.f64 a) c)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (.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)) (sqrt.f64 (/.f64 (neg.f64 a) c)))))

eval453.0ms (7.6%)

Memory

40.8MiB live, 538.3MiB allocated; 138ms collecting garbage

Samples

235.0ms	4 719×	0	valid
88.0ms	2 193×	0	invalid

Compiler

Compiled 12 214 to 1 669 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-mult: 100.0ms (68.7% of total)

ival-div: 31.0ms (21.3% of total)

ival-pow: 5.0ms (3.4% of total)

ival-true: 4.0ms (2.7% of total)

ival-sqrt: 2.0ms (1.4% of total)

ival-assert: 2.0ms (1.4% of total)

adjust: 1.0ms (0.7% of total)

exact: 0.0ms (0% of total)

prune70.0ms (1.2%)

Memory

-9.7MiB live, 92.1MiB allocated; 27ms collecting garbage

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	352	11	363
Fresh	5	5	10
Picked	2	3	5
Done	0	1	1
Total	359	20	379

Accuracy

99.5%

Counts

379 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.7%	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) a)
	34.3%	(/.f64 (+.f64 (.f64 (neg.f64 b_2) a) (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (*.f64 a a))
✓	54.2%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	33.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
	11.3%	(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
▶	15.7%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)) (neg.f64 c))) a)
▶	8.9%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (sqrt.f64 (/.f64 (neg.f64 a) c))))) a)
	12.8%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)))))) a)
	29.3%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
▶	14.6%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 b_2))) a)
✓	54.1%	(+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a))
	15.5%	(+.f64 (/.f64 (neg.f64 b_2) a) #s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) (sqrt.f64 (/.f64 (neg.f64 c) a))))
✓	35.6%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) c)) b_2))
	34.6%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 (-.f64 (.f64 (.f64 a (/.f64 c (.f64 b_2 b_2))) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) c)) b_2))
	11.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)))) b_2))
▶	35.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b_2))
	32.2%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 c) (+.f64 (sqrt.f64 (.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 b_2 a) c))))
✓	36.2%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
	13.5%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
▶	17.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (sqrt (* (/ c a) -1)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))

Samples

43.0ms

768×

valid

Compiler

Compiled 966 to 648 computations (32.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 24.0ms (82.6% of total)

ival-div: 4.0ms (13.8% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series36.0ms (0.6%)

Memory

1.1MiB live, 46.1MiB allocated; 8ms collecting garbage

Counts

30 → 137

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b_2))
(/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b_2)
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))
(*.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)
c
b_2
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 b_2))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 b_2)))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 b_2))
(neg.f64 b_2)
a
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (sqrt (* (/ c a) -1)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (sqrt (* (/ c a) -1)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
(neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) 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 (neg.f64 c) #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (sqrt.f64 (/.f64 (neg.f64 a) c))))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (sqrt.f64 (/.f64 (neg.f64 a) c)))))
(.f64 (neg.f64 c) #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (sqrt.f64 (/.f64 (neg.f64 a) c))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (sqrt.f64 (/.f64 (neg.f64 a) c)))
(sqrt.f64 (/.f64 (neg.f64 a) c))
(/.f64 (neg.f64 a) c)
(neg.f64 a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)) (neg.f64 c))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)) (neg.f64 c)))
(*.f64 (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)) (neg.f64 c))
(+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c))
(/.f64 b_2 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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (* -1/2 c)))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 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 (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))))
#s(approx a #s(hole binary64 a))
#s(approx (sqrt (* (/ c a) -1)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#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 (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
#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 (/ (neg a) c)) (/ b_2 c)) (neg c)) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))))
#s(approx (+ (sqrt (/ (neg a) c)) (/ b_2 c)) #s(hole binary64 (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
#s(approx (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (* a (+ (* -1/2 (/ c a)) (* -1/8 (/ (pow c 2) (pow b_2 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 (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -1))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (* a (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))))
#s(approx (* (+ (sqrt (/ (neg a) c)) (/ b_2 c)) (neg c)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (* (+ (sqrt (/ (neg a) c)) (/ b_2 c)) (neg c)) #s(hole binary64 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))))
#s(approx (+ (sqrt (/ (neg a) c)) (/ b_2 c)) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -1))))
#s(approx (+ (sqrt (/ (neg a) c)) (/ b_2 c)) #s(hole binary64 (* a (+ (* (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 (* (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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 2))) (* 1/2 (/ c 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 (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (sqrt (/ (neg a) c)) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (* (+ (sqrt (/ (neg a) c)) (/ b_2 c)) (neg c)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (* (+ (sqrt (/ (neg a) c)) (/ b_2 c)) (neg c)) #s(hole binary64 (* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))))))
#s(approx (+ (sqrt (/ (neg a) c)) (/ b_2 c)) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (sqrt (/ (neg a) c)) (/ b_2 c)) #s(hole binary64 (* -1 (* 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 (+ (* 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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 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 c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (+ (* -1 b_2) (* -1 (* (sqrt (* a c)) (sqrt -1))))))
#s(approx (neg b_2) #s(hole binary64 (* -1 b_2)))
#s(approx (* (+ (sqrt (/ (neg a) c)) (/ b_2 c)) (neg c)) #s(hole binary64 (+ (* -1 b_2) (* -1 (* (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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #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)))) #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 (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* -1 b_2)))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* b_2 (- (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) 1))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (/ b_2 c)))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (* b_2 (+ (* (sqrt (/ a c)) (/ (sqrt -1) b_2)) (/ 1 c)))))
#s(approx (* (+ (sqrt (/ (neg a) c)) (/ b_2 c)) (neg c)) #s(hole binary64 (* -1 b_2)))
#s(approx (* (+ (sqrt (/ (neg a) c)) (/ b_2 c)) (neg c)) #s(hole binary64 (* b_2 (- (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) 1))))
#s(approx (+ (sqrt (/ (neg a) c)) (/ b_2 c)) #s(hole binary64 (/ b_2 c)))
#s(approx (+ (sqrt (/ (neg a) c)) (/ b_2 c)) #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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) 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 (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* -1 (* b_2 (+ 1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (* -1 (* b_2 (- (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) b_2))) (/ 1 c))))))
#s(approx (* (+ (sqrt (/ (neg a) c)) (/ b_2 c)) (neg c)) #s(hole binary64 (* -1 (* b_2 (+ 1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))))
#s(approx (+ (sqrt (/ (neg a) c)) (/ b_2 c)) #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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2))))
#s(approx (* -1/2 c) #s(hole binary64 (* -1/2 c)))
#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 c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))))
#s(approx (neg c) #s(hole binary64 (* -1 c)))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) c)))
#s(approx (* (+ (sqrt (/ (neg a) c)) (/ b_2 c)) (neg c)) #s(hole binary64 (* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))))
#s(approx (+ (sqrt (/ (neg a) c)) (/ b_2 c)) #s(hole binary64 (/ (+ 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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 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 (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ b_2 c))))))
#s(approx (* (+ (sqrt (/ (neg a) c)) (/ b_2 c)) (neg c)) #s(hole binary64 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -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 (+ (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 (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)))))

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	c	@	inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (* -1/2 c) -1/2 c b_2 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg b_2) a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (* (/ c a) -1)) (neg (sqrt (/ (neg c) 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)))) (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (sqrt (/ (neg a) c)) (/ (neg a) c) (neg a) (/ (+ (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)) (/ b_2 c)) (neg c)) (+ (sqrt (/ (neg a) c)) (/ b_2 c)) (/ b_2 c))
4.0ms	b_2	@	-inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (* -1/2 c) -1/2 c b_2 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg b_2) a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (* (/ c a) -1)) (neg (sqrt (/ (neg c) 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)))) (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (sqrt (/ (neg a) c)) (/ (neg a) c) (neg a) (/ (+ (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)) (/ b_2 c)) (neg c)) (+ (sqrt (/ (neg a) c)) (/ b_2 c)) (/ b_2 c))
3.0ms	a	@	inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (* -1/2 c) -1/2 c b_2 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg b_2) a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (* (/ c a) -1)) (neg (sqrt (/ (neg c) 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)))) (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (sqrt (/ (neg a) c)) (/ (neg a) c) (neg a) (/ (+ (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)) (/ b_2 c)) (neg c)) (+ (sqrt (/ (neg a) c)) (/ b_2 c)) (/ b_2 c))
3.0ms	a	@	0	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (* -1/2 c) -1/2 c b_2 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg b_2) a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (* (/ c a) -1)) (neg (sqrt (/ (neg c) 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)))) (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (sqrt (/ (neg a) c)) (/ (neg a) c) (neg a) (/ (+ (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)) (/ b_2 c)) (neg c)) (+ (sqrt (/ (neg a) c)) (/ b_2 c)) (/ b_2 c))
3.0ms	c	@	0	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (* -1/2 c) -1/2 c b_2 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg b_2) a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (* (/ c a) -1)) (neg (sqrt (/ (neg c) 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)))) (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (sqrt (/ (neg a) c)) (/ (neg a) c) (neg a) (/ (+ (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)) (/ b_2 c)) (neg c)) (+ (sqrt (/ (neg a) c)) (/ b_2 c)) (/ b_2 c))

rewrite124.0ms (2.1%)

Memory

25.4MiB live, 122.6MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	666	4815
0	691	4451
0	3422	4281

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

167 → 209

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b_2))
(/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b_2)
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))
(*.f64 #s(literal -1/2 binary64) c)
#s(literal -1/2 binary64)
c
b_2
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 b_2))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 b_2)))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 b_2))
(neg.f64 b_2)
a
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (sqrt (* (/ c a) -1)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (sqrt (* (/ c a) -1)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
(neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) 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 (neg.f64 c) #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (sqrt.f64 (/.f64 (neg.f64 a) c))))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (sqrt.f64 (/.f64 (neg.f64 a) c)))))
(.f64 (neg.f64 c) #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (sqrt.f64 (/.f64 (neg.f64 a) c))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (sqrt.f64 (/.f64 (neg.f64 a) c)))
(sqrt.f64 (/.f64 (neg.f64 a) c))
(/.f64 (neg.f64 a) c)
(neg.f64 a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)) (neg.f64 c))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)) (neg.f64 c)))
(*.f64 (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)) (neg.f64 c))
(+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c))
(/.f64 b_2 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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (* -1/2 c)))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 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 (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))))
#s(approx a #s(hole binary64 a))
#s(approx (sqrt (* (/ c a) -1)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#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 (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
#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 (/ (neg a) c)) (/ b_2 c)) (neg c)) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))))
#s(approx (+ (sqrt (/ (neg a) c)) (/ b_2 c)) #s(hole binary64 (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
#s(approx (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (* a (+ (* -1/2 (/ c a)) (* -1/8 (/ (pow c 2) (pow b_2 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 (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -1))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (* a (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))))
#s(approx (* (+ (sqrt (/ (neg a) c)) (/ b_2 c)) (neg c)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (* (+ (sqrt (/ (neg a) c)) (/ b_2 c)) (neg c)) #s(hole binary64 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))))
#s(approx (+ (sqrt (/ (neg a) c)) (/ b_2 c)) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -1))))
#s(approx (+ (sqrt (/ (neg a) c)) (/ b_2 c)) #s(hole binary64 (* a (+ (* (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 (* (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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 2))) (* 1/2 (/ c 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 (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (sqrt (/ (neg a) c)) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (* (+ (sqrt (/ (neg a) c)) (/ b_2 c)) (neg c)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (* (+ (sqrt (/ (neg a) c)) (/ b_2 c)) (neg c)) #s(hole binary64 (* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))))))
#s(approx (+ (sqrt (/ (neg a) c)) (/ b_2 c)) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (sqrt (/ (neg a) c)) (/ b_2 c)) #s(hole binary64 (* -1 (* 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 (+ (* 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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 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 c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (+ (* -1 b_2) (* -1 (* (sqrt (* a c)) (sqrt -1))))))
#s(approx (neg b_2) #s(hole binary64 (* -1 b_2)))
#s(approx (* (+ (sqrt (/ (neg a) c)) (/ b_2 c)) (neg c)) #s(hole binary64 (+ (* -1 b_2) (* -1 (* (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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #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)))) #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 (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* -1 b_2)))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* b_2 (- (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) 1))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (/ b_2 c)))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (* b_2 (+ (* (sqrt (/ a c)) (/ (sqrt -1) b_2)) (/ 1 c)))))
#s(approx (* (+ (sqrt (/ (neg a) c)) (/ b_2 c)) (neg c)) #s(hole binary64 (* -1 b_2)))
#s(approx (* (+ (sqrt (/ (neg a) c)) (/ b_2 c)) (neg c)) #s(hole binary64 (* b_2 (- (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) 1))))
#s(approx (+ (sqrt (/ (neg a) c)) (/ b_2 c)) #s(hole binary64 (/ b_2 c)))
#s(approx (+ (sqrt (/ (neg a) c)) (/ b_2 c)) #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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) 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 (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* -1 (* b_2 (+ 1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (* -1 (* b_2 (- (* -1 (* (sqrt (/ a c)) (/ (sqrt -1) b_2))) (/ 1 c))))))
#s(approx (* (+ (sqrt (/ (neg a) c)) (/ b_2 c)) (neg c)) #s(hole binary64 (* -1 (* b_2 (+ 1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))))
#s(approx (+ (sqrt (/ (neg a) c)) (/ b_2 c)) #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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2))))
#s(approx (* -1/2 c) #s(hole binary64 (* -1/2 c)))
#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 c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))))
#s(approx (neg c) #s(hole binary64 (* -1 c)))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) c)))
#s(approx (* (+ (sqrt (/ (neg a) c)) (/ b_2 c)) (neg c)) #s(hole binary64 (* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))))
#s(approx (+ (sqrt (/ (neg a) c)) (/ b_2 c)) #s(hole binary64 (/ (+ 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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 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 (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ b_2 c))))))
#s(approx (* (+ (sqrt (/ (neg a) c)) (/ b_2 c)) (neg c)) #s(hole binary64 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -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 (+ (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 (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)))))

Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b_2))
(/.f64 (neg.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))) (neg.f64 b_2))
(/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b_2)
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))
(*.f64 #s(literal -1/2 binary64) c)
(*.f64 c #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
c
b_2
(/.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 b_2)))) (neg.f64 a))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 b_2))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 b_2)))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 b_2))
(*.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) #s(approx (sqrt (* (/ c a) -1)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (sqrt (* (/ c a) -1)) (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))
(/.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a))
(sqrt.f64 (/.f64 (neg.f64 c) a))
(*.f64 (/.f64 c a) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 c a))
(/.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 #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (sqrt.f64 (/.f64 (neg.f64 a) c))) (neg.f64 c)))) (neg.f64 a))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (sqrt.f64 (/.f64 (neg.f64 a) c))) (neg.f64 c))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (sqrt.f64 (/.f64 (neg.f64 a) c))) (neg.f64 c)))
(.f64 #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (sqrt.f64 (/.f64 (neg.f64 a) c))) (neg.f64 c))
(.f64 (neg.f64 c) #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (sqrt.f64 (/.f64 (neg.f64 a) c))))
(neg.f64 (.f64 c #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (sqrt.f64 (/.f64 (neg.f64 a) c)))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (sqrt.f64 (/.f64 (neg.f64 a) c)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))
(*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(pow.f64 (/.f64 (neg.f64 a) c) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))
(sqrt.f64 (/.f64 (neg.f64 a) c))
(*.f64 #s(literal -1 binary64) (/.f64 a c))
(*.f64 (/.f64 a c) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 c))
(/.f64 (neg.f64 a) c)
(neg.f64 (/.f64 a c))
(*.f64 #s(literal -1 binary64) a)
(*.f64 a #s(literal -1 binary64))
(neg.f64 a)
(/.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)) (neg.f64 c)))) (neg.f64 a))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)) (neg.f64 c))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)) (neg.f64 c)))
(*.f64 (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)) (neg.f64 c))
(.f64 (.f64 (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)) c) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)) c))
(*.f64 (neg.f64 c) (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)))
(neg.f64 (*.f64 (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)) c))
(+.f64 (.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (neg.f64 c)) (.f64 (/.f64 b_2 c) (neg.f64 c)))
(+.f64 (.f64 (neg.f64 c) (sqrt.f64 (/.f64 (neg.f64 a) c))) (.f64 (neg.f64 c) (/.f64 b_2 c)))
(/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (sqrt.f64 (/.f64 (neg.f64 a) c))) (.f64 (/.f64 b_2 c) (/.f64 b_2 c))) (-.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)))
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) #s(literal 3 binary64)) (pow.f64 (/.f64 b_2 c) #s(literal 3 binary64))) (+.f64 (.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (sqrt.f64 (/.f64 (neg.f64 a) c))) (-.f64 (.f64 (/.f64 b_2 c) (/.f64 b_2 c)) (*.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)))))
(+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c))
(+.f64 (/.f64 b_2 c) (sqrt.f64 (/.f64 (neg.f64 a) c)))
(/.f64 (neg.f64 b_2) (neg.f64 c))
(/.f64 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 (.f64 a (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 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) (+.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b_2 #s(literal 5 binary64))) (.f64 (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 binary64))) #s(literal -1/8 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) (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 a (/.f64 (.f64 (ratio-of-squares.f64 (.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64)) (.f64 #s(literal 1/16 binary64) (ratio-of-squares.f64 (pow.f64 c #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 5/2 binary64))))) a) (.f64 (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 binary64))) #s(literal -1/8 binary64))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 binary64)))) #s(literal -1/8 binary64)) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (-.f64 (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64))) (*.f64 #s(literal 1/2 binary64) c)))
#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 (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 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 (+.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b_2 #s(literal 5 binary64))) (.f64 (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 binary64))) #s(literal -1/8 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 (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 a (/.f64 (.f64 (ratio-of-squares.f64 (.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64)) (.f64 #s(literal 1/16 binary64) (ratio-of-squares.f64 (pow.f64 c #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 5/2 binary64))))) a) (.f64 (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 binary64))) #s(literal -1/8 binary64))) a) (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (*.f64 (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)) (neg.f64 c)))
#s(approx a a)
#s(approx (sqrt (* (/ c a) -1)) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (neg (sqrt (/ (neg c) a))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (sqrt (* (/ c a) -1)) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (/ (neg c) a) (/.f64 (neg.f64 c) a))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)))
#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 (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (*.f64 (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)) (neg.f64 c)))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 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)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (+.f64 (/.f64 (neg.f64 b_2) a) (.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 (neg.f64 c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (+.f64 (.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 (.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 (neg.f64 c) a)))) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (.f64 (.f64 a (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 binary64)))) #s(literal -1/8 binary64)))
#s(approx (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (.f64 (+.f64 (.f64 (/.f64 (/.f64 c a) b_2) #s(literal -1/2 binary64)) (*.f64 (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 binary64))) #s(literal -1/8 binary64))) a))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 (-.f64 (.f64 (/.f64 c a) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (ratio-of-squares.f64 c b_2))) a))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (.f64 (.f64 c a) #s(literal -1 binary64))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 (neg.f64 c) a))) a))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.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 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (-.f64 (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 (+.f64 (.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 (.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 (neg.f64 c) a)) (/.f64 b_2 a)))) a))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 (sqrt.f64 (.f64 (.f64 c a) #s(literal -1 binary64)))))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (.f64 (.f64 #s(literal -1 binary64) (+.f64 (/.f64 b_2 a) (sqrt.f64 (/.f64 (neg.f64 c) a)))) a))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (sqrt.f64 (/.f64 (neg.f64 a) c)))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (.f64 (+.f64 (/.f64 (/.f64 b_2 a) c) (sqrt.f64 (.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))) a))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 (sqrt.f64 (.f64 (.f64 c a) #s(literal -1 binary64)))))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (.f64 (.f64 #s(literal -1 binary64) (+.f64 (/.f64 b_2 a) (sqrt.f64 (/.f64 (neg.f64 c) a)))) a))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (sqrt.f64 (/.f64 (neg.f64 a) c)))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (.f64 (+.f64 (/.f64 (/.f64 b_2 a) c) (sqrt.f64 (.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))) 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 (/.f64 b_2 a) (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 (+.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(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 (+.f64 (neg.f64 (/.f64 (+.f64 (.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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)))) a)) b_2) a))))
#s(approx (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (.f64 (neg.f64 a) (-.f64 (.f64 #s(literal 1/8 binary64) (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 binary64)))) (*.f64 (/.f64 (/.f64 c a) b_2) #s(literal -1/2 binary64)))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 (neg.f64 a) (-.f64 (.f64 #s(literal 1/8 binary64) (ratio-of-squares.f64 c b_2)) (*.f64 (/.f64 c a) #s(literal -1/2 binary64)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg.f64 (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) (+.f64 (/.f64 b_2 a) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 a) (+.f64 (neg.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)) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 a) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (.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 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)))) a)) b_2) a)) (sqrt.f64 (/.f64 (neg.f64 c) a)))))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (sqrt.f64 (.f64 (.f64 c a) #s(literal -1 binary64))))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (*.f64 (neg.f64 a) (+.f64 (/.f64 b_2 a) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (.f64 (neg.f64 a) (+.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))))))
#s(approx (sqrt (/ (neg a) c)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c))))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (sqrt.f64 (.f64 (.f64 c a) #s(literal -1 binary64))))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (*.f64 (neg.f64 a) (+.f64 (/.f64 b_2 a) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (.f64 (neg.f64 a) (+.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))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (.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) (+.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (ratio-of-squares.f64 b_2 (pow.f64 (sqrt.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 #s(literal -1/2 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))))) b_2) (pow.f64 a #s(literal -1 binary64))) b_2) (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (/.f64 (-.f64 (.f64 (.f64 (.f64 b_2 b_2) c) #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 c c) a))) (pow.f64 b_2 #s(literal 3 binary64))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (/.f64 (-.f64 (.f64 (.f64 (.f64 b_2 b_2) c) #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 c c) a))) (*.f64 b_2 b_2)))
#s(approx b_2 b_2)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (+.f64 (sqrt.f64 (.f64 (.f64 c a) #s(literal -1 binary64))) (neg.f64 b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (+.f64 (.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 (.f64 c a) #s(literal -1 binary64)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (+.f64 (.f64 (-.f64 (.f64 (+.f64 (.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) (pown3/2s.f64 (.f64 c a))) (ratio-of-squares.f64 b_2 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3/2 binary64))))) b_2) #s(literal 1 binary64)) b_2) (sqrt.f64 (.f64 (.f64 c a) #s(literal -1 binary64)))))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 (+.f64 (sqrt.f64 (.f64 (.f64 c a) #s(literal -1 binary64))) b_2)))
#s(approx (neg b_2) (neg.f64 b_2))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 (+.f64 (sqrt.f64 (.f64 (.f64 c a) #s(literal -1 binary64))) 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 (-.f64 (.f64 a (.f64 (ratio-of-squares.f64 c 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 (+.f64 (+.f64 (.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 a (.f64 (ratio-of-squares.f64 c 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 (+.f64 (+.f64 (.f64 #s(literal -1/2 binary64) c) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) #s(literal 5/64 binary64))) (.f64 (pow.f64 b_2 #s(literal 6 binary64)) a))) (+.f64 (.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 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64))))) b_2))
#s(approx (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (/.f64 (-.f64 (.f64 a (.f64 (ratio-of-squares.f64 c 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)))) (/.f64 (+.f64 (.f64 (.f64 (.f64 a a) (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 c a))) b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (+.f64 (+.f64 (.f64 (.f64 (.f64 a a) (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 c a))) (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))) b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (+.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) #s(literal 5/64 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))) (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 4 binary64))) (.f64 (.f64 (.f64 a a) (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)))) b_2))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 b_2))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (.f64 (*.f64 c a) #s(literal -1 binary64))) b_2)) #s(literal 1 binary64)) b_2))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (/.f64 b_2 c))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (*.f64 (+.f64 (pow.f64 c #s(literal -1 binary64)) (/.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) b_2)) b_2))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 b_2))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (.f64 (*.f64 c a) #s(literal -1 binary64))) b_2)) #s(literal 1 binary64)) b_2))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (/.f64 b_2 c))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (*.f64 (+.f64 (pow.f64 c #s(literal -1 binary64)) (/.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) 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) (+.f64 (/.f64 #s(literal 2 binary64) a) (.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 b_2) (+.f64 (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c (.f64 b_2 b_2))) #s(literal -1/8 binary64)) (/.f64 #s(literal 2 binary64) a)) (.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 b_2) (+.f64 (+.f64 (.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64)) (.f64 (.f64 a (ratio-of-squares.f64 c (.f64 b_2 b_2))) #s(literal -1/8 binary64))) (+.f64 (.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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (ratio-of-squares.f64 c b_2) a)) (*.f64 #s(literal -1/2 binary64) c)) 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) (+.f64 (.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 (+.f64 (.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 (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64))) (.f64 (.f64 a (/.f64 c (.f64 b_2 b_2))) #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))) #s(literal 2 binary64))))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (.f64 (neg.f64 b_2) (+.f64 (/.f64 (sqrt.f64 (.f64 (*.f64 c a) #s(literal -1 binary64))) b_2) #s(literal 1 binary64))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (*.f64 (neg.f64 b_2) (-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) b_2)) (pow.f64 c #s(literal -1 binary64)))))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (.f64 (neg.f64 b_2) (+.f64 (/.f64 (sqrt.f64 (.f64 (*.f64 c a) #s(literal -1 binary64))) b_2) #s(literal 1 binary64))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (*.f64 (neg.f64 b_2) (-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) b_2)) (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 (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (.f64 a a) c)) (pow.f64 b_2 #s(literal 5 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 (+.f64 (.f64 (-.f64 (.f64 (.f64 (/.f64 c a) (/.f64 (.f64 (ratio-of-squares.f64 (.f64 a a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64)) (.f64 #s(literal 1/16 binary64) (ratio-of-squares.f64 a (pow.f64 b_2 #s(literal 5/2 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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (.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 (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 (-.f64 (.f64 (.f64 a (/.f64 c (.f64 b_2 b_2))) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) c))
#s(approx (* -1/2 c) (*.f64 #s(literal -1/2 binary64) c))
#s(approx c c)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a a) c)) (pow.f64 b_2 #s(literal 3 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 (+.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b_2 #s(literal 5 binary64))) (.f64 (ratio-of-squares.f64 a (pow.f64 b_2 #s(literal 3/2 binary64))) #s(literal -1/8 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 (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 c (/.f64 (.f64 (ratio-of-squares.f64 (.f64 a a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64)) (.f64 #s(literal 1/16 binary64) (ratio-of-squares.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 5/2 binary64))))) c) (.f64 (ratio-of-squares.f64 a (pow.f64 b_2 #s(literal 3/2 binary64))) #s(literal -1/8 binary64))) c) (.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 (+.f64 (sqrt.f64 (.f64 (.f64 c a) #s(literal -1 binary64))) b_2)))
#s(approx (neg c) (neg.f64 c))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (/.f64 (+.f64 (sqrt.f64 (.f64 (.f64 c a) #s(literal -1 binary64))) b_2) c))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 (+.f64 (sqrt.f64 (.f64 (.f64 c a) #s(literal -1 binary64))) b_2)))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (/.f64 (+.f64 (sqrt.f64 (.f64 (.f64 c a) #s(literal -1 binary64))) b_2) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a 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 (+.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pown3/2s.f64 (.f64 c a))) (/.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)))) (/.f64 (neg.f64 b_2) (.f64 c a))) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (+.f64 (+.f64 (.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)))) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pown3/2s.f64 (.f64 c a))) (/.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))))) (/.f64 (neg.f64 b_2) (*.f64 c a))) c))
#s(approx (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) 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))) (.f64 c c)))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 (-.f64 (.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) c)) (.f64 c c)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (/.f64 (neg.f64 b_2) c) (sqrt.f64 (/.f64 (neg.f64 a) c))) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (+.f64 (.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 (neg.f64 a) c)) (/.f64 b_2 c))) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (+.f64 (.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 (.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 (neg.f64 a) c)) (/.f64 b_2 c)))) c))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (.f64 (.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c))) c))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (.f64 (.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c))) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a 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 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 c) (+.f64 (neg.f64 (/.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 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2))) (/.f64 (neg.f64 b_2) a)) c)) (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) (+.f64 (neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (+.f64 (.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))) c)) (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 (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)) (neg.f64 c)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) (+.f64 (neg.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)) (sqrt.f64 (/.f64 (neg.f64 a) c)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (.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)) (sqrt.f64 (/.f64 (neg.f64 a) c)))))
#s(approx (sqrt (* (/ c a) -1)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))
#s(approx (neg (sqrt (/ (neg c) a))) (sqrt.f64 (/.f64 (neg.f64 c) a)))
#s(approx (sqrt (* (/ c a) -1)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))

eval194.0ms (3.3%)

Memory

7.4MiB live, 195.2MiB allocated; 24ms collecting garbage

Samples

76.0ms	1 937×	0	invalid
34.0ms	879×	0	valid

Compiler

Compiled 8 137 to 1 074 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 29.0ms (57.8% of total)

ival-div: 11.0ms (21.9% of total)

ival-pow: 5.0ms (10% of total)

ival-true: 2.0ms (4% of total)

ival-sqrt: 2.0ms (4% of total)

adjust: 1.0ms (2% of total)

ival-assert: 1.0ms (2% of total)

exact: 0.0ms (0% of total)

prune76.0ms (1.3%)

Memory

-14.3MiB live, 76.8MiB allocated; 10ms collecting garbage

Pruning

20 alts after pruning (11 fresh and 9 done)

	Pruned	Kept	Total
New	231	1	232
Fresh	1	10	11
Picked	0	5	5
Done	0	4	4
Total	232	20	252

Accuracy

99.5%

Counts

252 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.7%	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) a)
	34.3%	(/.f64 (+.f64 (.f64 (neg.f64 b_2) a) (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (*.f64 a a))
✓	54.2%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
▶	33.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
▶	11.3%	(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
✓	15.7%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)) (neg.f64 c))) a)
✓	8.9%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (sqrt.f64 (/.f64 (neg.f64 a) c))))) a)
▶	12.8%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)))))) a)
	29.3%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
✓	14.6%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 b_2))) a)
✓	54.1%	(+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a))
	15.5%	(+.f64 (/.f64 (neg.f64 b_2) a) #s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) (sqrt.f64 (/.f64 (neg.f64 c) a))))
✓	35.6%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) c)) b_2))
▶	34.6%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 (-.f64 (.f64 (.f64 a (/.f64 c (.f64 b_2 b_2))) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) c)) b_2))
▶	11.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)))) b_2))
✓	35.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b_2))
	32.2%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a 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))))))
✓	36.2%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
	13.5%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
✓	17.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (sqrt (* (/ c a) -1)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))

Samples

28.0ms

768×

valid

Compiler

Compiled 815 to 543 computations (33.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 10.0ms (67.6% of total)

ival-div: 4.0ms (27% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series46.0ms (0.8%)

Memory

9.4MiB live, 54.9MiB allocated; 5ms collecting garbage

Counts

38 → 173

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 (-.f64 (.f64 (.f64 a (/.f64 c (.f64 b_2 b_2))) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) c)) b_2))
(/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 (-.f64 (.f64 (.f64 a (/.f64 c (.f64 b_2 b_2))) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) c)) b_2)
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 (-.f64 (.f64 (.f64 a (/.f64 c (.f64 b_2 b_2))) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) c))
(.f64 (-.f64 (.f64 (.f64 a (/.f64 c (.f64 b_2 b_2))) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) c)
(-.f64 (.f64 (.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/8 binary64))
(.f64 a (/.f64 c (.f64 b_2 b_2)))
a
(/.f64 c (*.f64 b_2 b_2))
c
(*.f64 b_2 b_2)
b_2
#s(literal -1/8 binary64)
#s(literal 1/2 binary64)
(/.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)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)))) b_2))
(/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)))) b_2)
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64))))
(.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)))
(*.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64))
(ratio-of-squares.f64 c b_2)
(/.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)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)))))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c))))))
(.f64 (neg.f64 c) #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)))))
(neg.f64 c)
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c))))
(neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)))
(sqrt.f64 (/.f64 (neg.f64 a) c))
(/.f64 (neg.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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (* -1/2 c)))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))))
#s(approx (* (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) c) #s(hole binary64 (* -1/2 c)))
#s(approx (* (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) c) #s(hole binary64 (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))))
#s(approx (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) #s(hole binary64 (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2)))
#s(approx (* (* a (/ c (* b_2 b_2))) -1/8) #s(hole binary64 (* -1/8 (/ (* a c) (pow b_2 2)))))
#s(approx (* a (/ c (* b_2 b_2))) #s(hole binary64 (/ (* a c) (pow b_2 2))))
#s(approx a #s(hole binary64 a))
#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 (* (/ (* c c) (* b_2 b_2)) -1/8)) #s(hole binary64 (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))))
#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 (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
#s(approx (neg (sqrt (/ (neg a) c))) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (sqrt -1)))))
#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 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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
#s(approx (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (* a (+ (* -1/2 (/ c a)) (* -1/8 (/ (pow c 2) (pow b_2 2)))))))
#s(approx (* (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) c) #s(hole binary64 (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))))
#s(approx (* (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) c) #s(hole binary64 (* a (+ (* -1/2 (/ c a)) (* -1/8 (/ (pow c 2) (pow b_2 2)))))))
#s(approx (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) #s(hole binary64 (* -1/8 (/ (* a c) (pow b_2 2)))))
#s(approx (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) #s(hole binary64 (* a (- (* -1/8 (/ c (pow b_2 2))) (* 1/2 (/ 1 a))))))
#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 c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -1))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (* a (+ (* (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 (* (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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 2))) (* 1/2 (/ c a)))))))
#s(approx (* (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) c) #s(hole binary64 (* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 2))) (* 1/2 (/ c a)))))))
#s(approx (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) #s(hole binary64 (* -1 (* a (+ (* 1/8 (/ c (pow b_2 2))) (* 1/2 (/ 1 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 c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (neg (sqrt (/ (neg a) c))) #s(hole binary64 (* (sqrt (/ a c)) (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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 2))))
#s(approx (* (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) c) #s(hole binary64 (/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 2))))
#s(approx (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) #s(hole binary64 (/ (+ (* -1/2 (pow b_2 2)) (* -1/8 (* a c))) (pow b_2 2))))
#s(approx (/ c (* b_2 b_2)) #s(hole binary64 (/ c (pow b_2 2))))
#s(approx (* b_2 b_2) #s(hole binary64 (pow b_2 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 (* (/ (* c c) (* b_2 b_2)) -1/8) #s(hole binary64 (* -1/8 (/ (pow c 2) (pow b_2 2)))))
#s(approx (/ (* c c) (* b_2 b_2)) #s(hole binary64 (/ (pow c 2) (pow b_2 2))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (- (pow b_2 2) (* a c))))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (+ (* -1 b_2) (* -1 (* (sqrt (* a c)) (sqrt -1))))))
#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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #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)))) #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 c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* -1 b_2)))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* b_2 (- (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) 1))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (/ b_2 c)))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) 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 (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* -1 (* b_2 (+ 1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2))))
#s(approx (* (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) c) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2))))
#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) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))))
#s(approx (neg c) #s(hole binary64 (* -1 c)))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (/ (+ 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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c))))))
#s(approx (* (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) c) #s(hole binary64 (* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c))))))
#s(approx (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) #s(hole binary64 (* c (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 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 (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -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 (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) #s(hole binary64 (* -1 (* c (+ (* 1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 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))))))

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	b_2	@	0	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (* (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) c) (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) (* (* a (/ c (* b_2 b_2))) -1/8) (* a (/ c (* b_2 b_2))) a (/ c (* b_2 b_2)) c (* b_2 b_2) b_2 -1/8 1/2 (/ (+ (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))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (* a (* (/ (* c c) (* b_2 b_2)) -1/8)) (* (/ (* c c) (* b_2 b_2)) -1/8) (/ (* c c) (* b_2 b_2)) (/ (+ (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) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (neg (sqrt (/ (neg a) c))) (sqrt (/ (neg a) c)) (/ (neg a) c))
5.0ms	c	@	-inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (* (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) c) (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) (* (* a (/ c (* b_2 b_2))) -1/8) (* a (/ c (* b_2 b_2))) a (/ c (* b_2 b_2)) c (* b_2 b_2) b_2 -1/8 1/2 (/ (+ (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))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (* a (* (/ (* c c) (* b_2 b_2)) -1/8)) (* (/ (* c c) (* b_2 b_2)) -1/8) (/ (* c c) (* b_2 b_2)) (/ (+ (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) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (neg (sqrt (/ (neg a) c))) (sqrt (/ (neg a) c)) (/ (neg a) c))
5.0ms	c	@	inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (* (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) c) (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) (* (* a (/ c (* b_2 b_2))) -1/8) (* a (/ c (* b_2 b_2))) a (/ c (* b_2 b_2)) c (* b_2 b_2) b_2 -1/8 1/2 (/ (+ (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))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (* a (* (/ (* c c) (* b_2 b_2)) -1/8)) (* (/ (* c c) (* b_2 b_2)) -1/8) (/ (* c c) (* b_2 b_2)) (/ (+ (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) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (neg (sqrt (/ (neg a) c))) (sqrt (/ (neg a) c)) (/ (neg a) c))
4.0ms	c	@	0	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (* (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) c) (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) (* (* a (/ c (* b_2 b_2))) -1/8) (* a (/ c (* b_2 b_2))) a (/ c (* b_2 b_2)) c (* b_2 b_2) b_2 -1/8 1/2 (/ (+ (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))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (* a (* (/ (* c c) (* b_2 b_2)) -1/8)) (* (/ (* c c) (* b_2 b_2)) -1/8) (/ (* c c) (* b_2 b_2)) (/ (+ (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) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (neg (sqrt (/ (neg a) c))) (sqrt (/ (neg a) c)) (/ (neg a) c))
4.0ms	a	@	0	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (* (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) c) (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) (* (* a (/ c (* b_2 b_2))) -1/8) (* a (/ c (* b_2 b_2))) a (/ c (* b_2 b_2)) c (* b_2 b_2) b_2 -1/8 1/2 (/ (+ (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))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (* a (* (/ (* c c) (* b_2 b_2)) -1/8)) (* (/ (* c c) (* b_2 b_2)) -1/8) (/ (* c c) (* b_2 b_2)) (/ (+ (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) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (neg (sqrt (/ (neg a) c))) (sqrt (/ (neg a) c)) (/ (neg a) c))

rewrite162.0ms (2.7%)

Memory

-44.9MiB live, 124.6MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	833	6230
0	868	5776
0	4392	5716

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

211 → 291

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 (-.f64 (.f64 (.f64 a (/.f64 c (.f64 b_2 b_2))) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) c)) b_2))
(/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 (-.f64 (.f64 (.f64 a (/.f64 c (.f64 b_2 b_2))) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) c)) b_2)
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 (-.f64 (.f64 (.f64 a (/.f64 c (.f64 b_2 b_2))) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) c))
(.f64 (-.f64 (.f64 (.f64 a (/.f64 c (.f64 b_2 b_2))) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) c)
(-.f64 (.f64 (.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/8 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/8 binary64))
(.f64 a (/.f64 c (.f64 b_2 b_2)))
a
(/.f64 c (*.f64 b_2 b_2))
c
(*.f64 b_2 b_2)
b_2
#s(literal -1/8 binary64)
#s(literal 1/2 binary64)
(/.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)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)))) b_2))
(/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)))) b_2)
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64))))
(.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)))
(*.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64))
(ratio-of-squares.f64 c b_2)
(/.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)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)))))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c))))))
(.f64 (neg.f64 c) #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)))))
(neg.f64 c)
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c))))
(neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)))
(sqrt.f64 (/.f64 (neg.f64 a) c))
(/.f64 (neg.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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (* -1/2 c)))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))))
#s(approx (* (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) c) #s(hole binary64 (* -1/2 c)))
#s(approx (* (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) c) #s(hole binary64 (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))))
#s(approx (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) #s(hole binary64 (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2)))
#s(approx (* (* a (/ c (* b_2 b_2))) -1/8) #s(hole binary64 (* -1/8 (/ (* a c) (pow b_2 2)))))
#s(approx (* a (/ c (* b_2 b_2))) #s(hole binary64 (/ (* a c) (pow b_2 2))))
#s(approx a #s(hole binary64 a))
#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 (* (/ (* c c) (* b_2 b_2)) -1/8)) #s(hole binary64 (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))))
#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 (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
#s(approx (neg (sqrt (/ (neg a) c))) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (sqrt -1)))))
#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 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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
#s(approx (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (* a (+ (* -1/2 (/ c a)) (* -1/8 (/ (pow c 2) (pow b_2 2)))))))
#s(approx (* (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) c) #s(hole binary64 (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))))
#s(approx (* (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) c) #s(hole binary64 (* a (+ (* -1/2 (/ c a)) (* -1/8 (/ (pow c 2) (pow b_2 2)))))))
#s(approx (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) #s(hole binary64 (* -1/8 (/ (* a c) (pow b_2 2)))))
#s(approx (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) #s(hole binary64 (* a (- (* -1/8 (/ c (pow b_2 2))) (* 1/2 (/ 1 a))))))
#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 c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (* (sqrt (/ a c)) (sqrt -1))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (* a (+ (* (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 (* (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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 2))) (* 1/2 (/ c a)))))))
#s(approx (* (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) c) #s(hole binary64 (* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 2))) (* 1/2 (/ c a)))))))
#s(approx (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) #s(hole binary64 (* -1 (* a (+ (* 1/8 (/ c (pow b_2 2))) (* 1/2 (/ 1 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 c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (* -1 (* (sqrt (/ a c)) (sqrt -1)))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (* -1 (* a (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (neg (sqrt (/ (neg a) c))) #s(hole binary64 (* (sqrt (/ a c)) (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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 2))))
#s(approx (* (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) c) #s(hole binary64 (/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 2))))
#s(approx (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) #s(hole binary64 (/ (+ (* -1/2 (pow b_2 2)) (* -1/8 (* a c))) (pow b_2 2))))
#s(approx (/ c (* b_2 b_2)) #s(hole binary64 (/ c (pow b_2 2))))
#s(approx (* b_2 b_2) #s(hole binary64 (pow b_2 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 (* (/ (* c c) (* b_2 b_2)) -1/8) #s(hole binary64 (* -1/8 (/ (pow c 2) (pow b_2 2)))))
#s(approx (/ (* c c) (* b_2 b_2)) #s(hole binary64 (/ (pow c 2) (pow b_2 2))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (- (pow b_2 2) (* a c))))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (+ (* -1 b_2) (* -1 (* (sqrt (* a c)) (sqrt -1))))))
#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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #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)))) #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 c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* -1 b_2)))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* b_2 (- (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) 1))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (/ b_2 c)))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) 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 (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* -1 (* b_2 (+ 1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2))))
#s(approx (* (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) c) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2))))
#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) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))))
#s(approx (neg c) #s(hole binary64 (* -1 c)))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) #s(hole binary64 (/ (+ 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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) #s(hole binary64 (* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) #s(hole binary64 (* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c))))))
#s(approx (* (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) c) #s(hole binary64 (* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c))))))
#s(approx (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) #s(hole binary64 (* c (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 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 (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) #s(hole binary64 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -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 (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) #s(hole binary64 (* -1 (* c (+ (* 1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 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))))))

Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 (-.f64 (.f64 a (*.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)) c)) b_2))
(/.f64 (neg.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 (-.f64 (.f64 a (*.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)) c))) (neg.f64 b_2))
(/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 (-.f64 (.f64 a (*.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)) c)) b_2)
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 (-.f64 (.f64 a (*.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)) c))
(.f64 (-.f64 (.f64 a (*.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)) c)
(.f64 c (-.f64 (.f64 a (*.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 a (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/8 binary64))) (.f64 a (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/8 binary64)))) #s(literal 1/4 binary64)) (+.f64 (.f64 a (*.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 a (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/8 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 (.f64 (.f64 a (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/8 binary64))) (.f64 a (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/8 binary64)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)))))
(-.f64 (.f64 a (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/8 binary64))) #s(literal 1/2 binary64))
(.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal -1/8 binary64))
(.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (/.f64 c b_2) b_2) a))
(.f64 a (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/8 binary64)))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c a)) (*.f64 b_2 b_2))
(*.f64 (/.f64 (/.f64 c b_2) b_2) a)
(*.f64 a (/.f64 (/.f64 c b_2) b_2))
(/.f64 (.f64 (neg.f64 a) c) (neg.f64 (.f64 b_2 b_2)))
(/.f64 (.f64 c a) (.f64 b_2 b_2))
a
(/.f64 (neg.f64 c) (neg.f64 (*.f64 b_2 b_2)))
(/.f64 (/.f64 c b_2) b_2)
(/.f64 c (*.f64 b_2 b_2))
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)))
b_2
#s(literal -1/8 binary64)
#s(literal 1/2 binary64)
(/.f64 (neg.f64 (+.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2) (neg.f64 b_2))) (neg.f64 a))
(/.f64 (+.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2) (neg.f64 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))) (+.f64 (.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)))))
(+.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)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)) a)) b_2))
(/.f64 (neg.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)) a))) (neg.f64 b_2))
(/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)) a)) b_2)
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)) a))
(.f64 (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)) a)
(.f64 (.f64 (ratio-of-squares.f64 c b_2) a) #s(literal -1/8 binary64))
(.f64 #s(literal -1/8 binary64) (.f64 (ratio-of-squares.f64 c b_2) a))
(.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)))
(/.f64 (.f64 (.f64 (.f64 c c) a) #s(literal -1/8 binary64)) (.f64 b_2 b_2))
(*.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) (ratio-of-squares.f64 c b_2))
(/.f64 (.f64 (.f64 c c) #s(literal -1/8 binary64)) (*.f64 b_2 b_2))
(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (*.f64 b_2 b_2))
(*.f64 (/.f64 c b_2) (/.f64 c b_2))
(*.f64 c (/.f64 (/.f64 c b_2) b_2))
(ratio-of-squares.f64 (pow.f64 c #s(literal 1 binary64)) (pow.f64 b_2 #s(literal 1 binary64)))
(ratio-of-squares.f64 (pow.f64 c #s(literal 1 binary64)) (fabs.f64 b_2))
(ratio-of-squares.f64 (pow.f64 c #s(literal 1 binary64)) (neg.f64 b_2))
(ratio-of-squares.f64 (pow.f64 c #s(literal 1 binary64)) b_2)
(ratio-of-squares.f64 (fabs.f64 c) (pow.f64 b_2 #s(literal 1 binary64)))
(ratio-of-squares.f64 (fabs.f64 c) (fabs.f64 b_2))
(ratio-of-squares.f64 (fabs.f64 c) (neg.f64 b_2))
(ratio-of-squares.f64 (fabs.f64 c) b_2)
(ratio-of-squares.f64 (neg.f64 c) (pow.f64 b_2 #s(literal 1 binary64)))
(ratio-of-squares.f64 (neg.f64 c) (fabs.f64 b_2))
(ratio-of-squares.f64 (neg.f64 c) (neg.f64 b_2))
(ratio-of-squares.f64 (neg.f64 c) b_2)
(ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 1 binary64)))
(ratio-of-squares.f64 c (fabs.f64 b_2))
(ratio-of-squares.f64 c (neg.f64 b_2))
(ratio-of-squares.f64 c b_2)
(/.f64 (/.f64 (*.f64 c c) b_2) b_2)
(/.f64 (neg.f64 (.f64 c c)) (neg.f64 (.f64 b_2 b_2)))
(/.f64 (.f64 c c) (.f64 b_2 b_2))
(/.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) (neg.f64 b_2))) (neg.f64 a))
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) (neg.f64 b_2)) 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))) (+.f64 (.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)))))))
(+.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)
(/.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c))))))) (neg.f64 a))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)))))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c))))))
(.f64 (neg.f64 c) #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)))))
(.f64 #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)))) (neg.f64 c))
(neg.f64 (.f64 c #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c))))))
(*.f64 #s(literal -1 binary64) c)
(*.f64 c #s(literal -1 binary64))
(neg.f64 c)
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c))))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (neg.f64 a) c)))
(neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))
(*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(pow.f64 (/.f64 (neg.f64 a) c) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))
(sqrt.f64 (/.f64 (neg.f64 a) c))
(*.f64 #s(literal -1 binary64) (/.f64 a c))
(*.f64 (/.f64 a c) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 c))
(/.f64 (neg.f64 a) c)
(neg.f64 (/.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) (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 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) (+.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b_2 #s(literal 5 binary64))) (.f64 (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 binary64))) #s(literal -1/8 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) (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 a (/.f64 (.f64 (ratio-of-squares.f64 (.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64)) (.f64 #s(literal 1/16 binary64) (ratio-of-squares.f64 (pow.f64 c #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 5/2 binary64))))) a) (.f64 (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 binary64))) #s(literal -1/8 binary64))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 binary64)))) #s(literal -1/8 binary64)) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (-.f64 (.f64 (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)) a) (*.f64 #s(literal 1/2 binary64) c)))
#s(approx (* (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) c) (*.f64 #s(literal -1/2 binary64) c))
#s(approx (* (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) c) (-.f64 (.f64 (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)) a) (*.f64 #s(literal 1/2 binary64) c)))
#s(approx (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) (-.f64 (.f64 a (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)))
#s(approx (* (* a (/ c (* b_2 b_2))) -1/8) (.f64 a (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/8 binary64))))
#s(approx (* a (/ c (* b_2 b_2))) (*.f64 (/.f64 (/.f64 c b_2) b_2) a))
#s(approx a a)
#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 (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 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 (+.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b_2 #s(literal 5 binary64))) (.f64 (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 binary64))) #s(literal -1/8 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 (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 a (/.f64 (.f64 (ratio-of-squares.f64 (.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64)) (.f64 #s(literal 1/16 binary64) (ratio-of-squares.f64 (pow.f64 c #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 5/2 binary64))))) a) (.f64 (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 binary64))) #s(literal -1/8 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))) (+.f64 (.f64 (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)) b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (+.f64 (.f64 (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 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))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b_2 #s(literal 5 binary64))) (.f64 (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 binary64))) #s(literal -1/8 binary64))) a) (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a) b_2))
#s(approx (* a (* (/ (* c c) (* b_2 b_2)) -1/8)) (.f64 (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)) a))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))
#s(approx (- (* b_2 b_2) (* a c)) (-.f64 (.f64 b_2 b_2) (.f64 c a)))
#s(approx (* (neg a) c) (*.f64 (neg.f64 a) c))
#s(approx (neg a) (neg.f64 a))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (*.f64 (neg.f64 c) (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)))
#s(approx (neg (sqrt (/ (neg a) c))) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c))))
#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 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) (+.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (+.f64 (/.f64 (neg.f64 b_2) a) (.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) (+.f64 (+.f64 (.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 (.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))))) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (.f64 (.f64 a (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 binary64)))) #s(literal -1/8 binary64)))
#s(approx (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (.f64 (+.f64 (.f64 (/.f64 (/.f64 c a) b_2) #s(literal -1/2 binary64)) (*.f64 (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 binary64))) #s(literal -1/8 binary64))) a))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)) a))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 (-.f64 (.f64 (/.f64 c a) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (ratio-of-squares.f64 c b_2))) a))
#s(approx (* (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) c) (.f64 (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)) a))
#s(approx (* (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) c) (.f64 (-.f64 (.f64 (/.f64 c a) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (ratio-of-squares.f64 c b_2))) a))
#s(approx (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) (.f64 a (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/8 binary64))))
#s(approx (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) (.f64 (-.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) a)) 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 (+.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (.f64 (/.f64 c a) #s(literal -1 binary64)))) a))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.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 (.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 (+.f64 (.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 (.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 (+.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 (.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 (+.f64 (.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 (.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 (+.f64 (+.f64 (.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)) (+.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 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (.f64 (/.f64 c a) #s(literal -1 binary64))))) (.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))) 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 c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (.f64 (.f64 #s(literal -1 binary64) (+.f64 (/.f64 b_2 a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))) a))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (sqrt.f64 (/.f64 (neg.f64 a) c)))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (.f64 (+.f64 (/.f64 (/.f64 b_2 a) c) (sqrt.f64 (.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))) 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) (.f64 #s(literal -1 binary64) (+.f64 (/.f64 b_2 a) (sqrt.f64 (.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (.f64 (/.f64 c a) #s(literal -1 binary64))) (/.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(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (.f64 (/.f64 c a) #s(literal -1 binary64))) (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (.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 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)))) a)) b_2) a))))
#s(approx (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (.f64 (neg.f64 a) (-.f64 (.f64 #s(literal 1/8 binary64) (ratio-of-squares.f64 c (pow.f64 b_2 #s(literal 3/2 binary64)))) (*.f64 (/.f64 (/.f64 c a) b_2) #s(literal -1/2 binary64)))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 (neg.f64 a) (-.f64 (.f64 #s(literal 1/8 binary64) (ratio-of-squares.f64 c b_2)) (*.f64 (/.f64 c a) #s(literal -1/2 binary64)))))
#s(approx (* (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) c) (.f64 (neg.f64 a) (-.f64 (.f64 #s(literal 1/8 binary64) (ratio-of-squares.f64 c b_2)) (*.f64 (/.f64 c a) #s(literal -1/2 binary64)))))
#s(approx (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) (.f64 (neg.f64 a) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 c b_2) b_2)) (/.f64 #s(literal 1/2 binary64) 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 (.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 a) (+.f64 (neg.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)) (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) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (.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 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)))) a)) b_2) a)) (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) (+.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 (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) (+.f64 (.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)) (+.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 (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) (+.f64 (+.f64 (.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)) (+.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 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2))) (sqrt.f64 (.f64 (/.f64 c a) #s(literal -1 binary64))))) (.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)))))
#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 c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (sqrt.f64 (*.f64 (neg.f64 a) c)))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (.f64 (neg.f64 a) (+.f64 (neg.f64 (sqrt.f64 (.f64 (/.f64 c a) #s(literal -1 binary64)))) (/.f64 b_2 a))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (.f64 (neg.f64 a) (+.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))))))
#s(approx (neg (sqrt (/ (neg a) c))) (sqrt.f64 (/.f64 (neg.f64 a) c)))
#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) (+.f64 (.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) (+.f64 (.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (ratio-of-squares.f64 b_2 (pow.f64 (sqrt.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 #s(literal -1/2 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (sqrt.f64 (pow.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) c) #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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (/.f64 (-.f64 (.f64 (.f64 (.f64 b_2 b_2) c) #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 c c) a))) (pow.f64 b_2 #s(literal 3 binary64))))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (/.f64 (-.f64 (.f64 (.f64 (.f64 b_2 b_2) c) #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 c c) a))) (*.f64 b_2 b_2)))
#s(approx (* (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) c) (/.f64 (-.f64 (.f64 (.f64 (.f64 b_2 b_2) c) #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 c c) a))) (*.f64 b_2 b_2)))
#s(approx (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) (/.f64 (-.f64 (.f64 (.f64 b_2 b_2) #s(literal -1/2 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 c a))) (*.f64 b_2 b_2)))
#s(approx (/ c (* b_2 b_2)) (/.f64 (/.f64 c b_2) b_2))
#s(approx (* b_2 b_2) (*.f64 b_2 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)))) (+.f64 (.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)))) (+.f64 (.f64 (-.f64 (.f64 (+.f64 (.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) (pown3/2s.f64 (.f64 c a))) (ratio-of-squares.f64 b_2 (pow.f64 (sqrt.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))) (+.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)))) (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (+.f64 (.f64 (+.f64 (.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) (pown3/2s.f64 (.f64 c a))) (ratio-of-squares.f64 b_2 (pow.f64 (sqrt.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))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 (pow.f64 (.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (ratio-of-squares.f64 b_2 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5/2 binary64)))) (.f64 (.f64 #s(literal -1/8 binary64) (pown3/2s.f64 (.f64 c a))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)))) (.f64 b_2 b_2)) (.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 (* (/ (* c c) (* b_2 b_2)) -1/8) (*.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)))
#s(approx (/ (* c c) (* b_2 b_2)) (ratio-of-squares.f64 c b_2))
#s(approx (- (* b_2 b_2) (* a c)) (-.f64 (.f64 b_2 b_2) (.f64 c a)))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 (+.f64 (sqrt.f64 (*.f64 (neg.f64 a) c)) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (-.f64 (.f64 (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)) a) (*.f64 #s(literal 1/2 binary64) c)) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (+.f64 (+.f64 (.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 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)) a)) (.f64 #s(literal -1/2 binary64) c)) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (+.f64 (+.f64 (.f64 #s(literal -1/2 binary64) c) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) #s(literal 5/64 binary64))) (.f64 (pow.f64 b_2 #s(literal 6 binary64)) a))) (+.f64 (.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 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)) a))) b_2))
#s(approx (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (/.f64 (-.f64 (.f64 (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)) a) (*.f64 #s(literal 1/2 binary64) c)) b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (+.f64 (.f64 (.f64 (.f64 a a) (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (.f64 #s(literal -1/2 binary64) (*.f64 c a))) b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (+.f64 (+.f64 (.f64 (.f64 (.f64 a a) (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 c a))) (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))) b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (+.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) #s(literal 5/64 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))) (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 4 binary64))) (.f64 (.f64 (.f64 a a) (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)))) b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2)) #s(literal 1 binary64)) b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2)) #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 (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 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)))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2))) #s(literal 1 binary64)) b_2))
#s(approx (- (* b_2 b_2) (* a c)) (.f64 (+.f64 (/.f64 (.f64 (neg.f64 a) c) (.f64 b_2 b_2)) #s(literal 1 binary64)) (.f64 b_2 b_2)))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 b_2))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (.f64 (-.f64 (neg.f64 (/.f64 (sqrt.f64 (.f64 (neg.f64 a) c)) b_2)) #s(literal 1 binary64)) b_2))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (/.f64 b_2 c))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (*.f64 (+.f64 (pow.f64 c #s(literal -1 binary64)) (/.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) 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) (+.f64 (/.f64 #s(literal 2 binary64) a) (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 b_2) (+.f64 (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c (.f64 b_2 b_2))) #s(literal -1/8 binary64)) (/.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 b_2) (+.f64 (+.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)) (.f64 (.f64 a (ratio-of-squares.f64 c (.f64 b_2 b_2))) #s(literal -1/8 binary64))) (+.f64 (.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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (neg.f64 (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (.f64 (ratio-of-squares.f64 c b_2) a)) (*.f64 #s(literal -1/2 binary64) c)) 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) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2)) #s(literal 2 binary64))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 b_2) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2)) #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 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2)) #s(literal 2 binary64)) (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 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) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2)) #s(literal 1 binary64))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (neg.f64 b_2) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2)) #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 (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 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)))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2))) #s(literal 1 binary64))))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (.f64 (neg.f64 b_2) (+.f64 (/.f64 (sqrt.f64 (.f64 (neg.f64 a) c)) b_2) #s(literal 1 binary64))))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (*.f64 (neg.f64 b_2) (-.f64 (neg.f64 (/.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) b_2)) (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 (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (.f64 a a) c)) (pow.f64 b_2 #s(literal 5 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 (+.f64 (.f64 (-.f64 (.f64 (.f64 (/.f64 c a) (/.f64 (.f64 (ratio-of-squares.f64 (.f64 a a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64)) (.f64 #s(literal 1/16 binary64) (ratio-of-squares.f64 a (pow.f64 b_2 #s(literal 5/2 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 (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) b_2) (.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 (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 (-.f64 (.f64 a (*.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)) c))
#s(approx (* (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) c) (.f64 (-.f64 (.f64 a (*.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)) c))
#s(approx c c)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a a) c)) (pow.f64 b_2 #s(literal 3 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 (+.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b_2 #s(literal 5 binary64))) (.f64 (ratio-of-squares.f64 a (pow.f64 b_2 #s(literal 3/2 binary64))) #s(literal -1/8 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 (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 c (/.f64 (.f64 (ratio-of-squares.f64 (.f64 a a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64)) (.f64 #s(literal 1/16 binary64) (ratio-of-squares.f64 (pow.f64 a #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 5/2 binary64))))) c) (.f64 (ratio-of-squares.f64 a (pow.f64 b_2 #s(literal 3/2 binary64))) #s(literal -1/8 binary64))) c) (.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (+.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a a) c)) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c) b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b_2 #s(literal 5 binary64))) (.f64 (ratio-of-squares.f64 a (pow.f64 b_2 #s(literal 3/2 binary64))) #s(literal -1/8 binary64))) c) (.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c) b_2))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 (+.f64 (sqrt.f64 (*.f64 (neg.f64 a) c)) b_2)))
#s(approx (neg c) (neg.f64 c))
#s(approx (+ (sqrt (* (/ a c) -1)) (/ b_2 c)) (/.f64 (+.f64 (sqrt.f64 (*.f64 (neg.f64 a) c)) b_2) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a 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 (+.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pown3/2s.f64 (.f64 c a))) (/.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)))) (/.f64 (neg.f64 b_2) (.f64 c a))) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (+.f64 (+.f64 (.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)))) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pown3/2s.f64 (.f64 c a))) (/.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))))) (/.f64 (neg.f64 b_2) (*.f64 c a))) c))
#s(approx (/ (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) 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))) (.f64 c c)))
#s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 (-.f64 (.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) c)) (.f64 c c)))
#s(approx (* (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) c) (.f64 (-.f64 (.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) c)) (.f64 c c)))
#s(approx (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) (.f64 (-.f64 (.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) c)) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (/.f64 (neg.f64 b_2) c) (sqrt.f64 (/.f64 (neg.f64 a) c))) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (+.f64 (.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 (neg.f64 a) c)) (/.f64 b_2 c))) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (+.f64 (.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 (.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 (neg.f64 a) c)) (/.f64 b_2 c)))) c))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (+.f64 (.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 (neg.f64 a) c))) c))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (+.f64 (.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 (.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 (neg.f64 a) c)))) c))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (+.f64 (+.f64 (.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)) (+.f64 (.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 (neg.f64 a) c)))) (.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))) c))
#s(approx (- (* b_2 b_2) (* a c)) (.f64 (-.f64 (/.f64 (.f64 b_2 b_2) c) a) c))
#s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (*.f64 (+.f64 (/.f64 (neg.f64 b_2) c) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)))) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a 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 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 b_2) a) (.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)))) c)) (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) (+.f64 (neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 (/.f64 b_2 a) (/.f64 (+.f64 (.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))) c)) (sqrt.f64 (.f64 (pow.f64 (.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (- (* (* a (/ c (* b_2 b_2))) -1/8) 1/2) (.f64 (neg.f64 c) (+.f64 (.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1/2 binary64) c))))
#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) (+.f64 (neg.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)) (sqrt.f64 (/.f64 (neg.f64 a) c)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (.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)) (sqrt.f64 (/.f64 (neg.f64 a) c)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (neg.f64 c) (+.f64 (.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 (neg.f64 a) c)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (neg.f64 c) (+.f64 (.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)) (+.f64 (.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 (neg.f64 a) c))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (neg.f64 c) (+.f64 (+.f64 (.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)) (+.f64 (.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 (neg.f64 a) c)))) (.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)))))
#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))))

eval428.0ms (7.2%)

Memory

34.3MiB live, 589.6MiB allocated; 89ms collecting garbage

Samples

207.0ms	4 719×	0	valid
91.0ms	2 193×	0	invalid

Compiler

Compiled 12 871 to 1 663 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 155.0ms

ival-mult: 101.0ms (65.2% of total)

ival-div: 37.0ms (23.9% of total)

ival-pow: 6.0ms (3.9% of total)

ival-true: 4.0ms (2.6% of total)

ival-sqrt: 4.0ms (2.6% of total)

adjust: 2.0ms (1.3% of total)

ival-assert: 2.0ms (1.3% of total)

exact: 0.0ms (0% of total)

prune73.0ms (1.2%)

Memory

1.7MiB live, 112.3MiB allocated; 24ms collecting garbage

Pruning

22 alts after pruning (8 fresh and 14 done)

	Pruned	Kept	Total
New	326	3	329
Fresh	1	5	6
Picked	0	5	5
Done	0	9	9
Total	327	22	349

Accuracy

99.7%

Counts

349 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.3%	(/.f64 (/.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))))) a)
	34.3%	(/.f64 (+.f64 (.f64 (neg.f64 b_2) a) (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (*.f64 a a))
✓	54.2%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	33.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
✓	11.3%	(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)
✓	15.7%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)) (neg.f64 c))) a)
✓	8.9%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (sqrt.f64 (/.f64 (neg.f64 a) c))))) a)
	18.9%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (neg.f64 (/.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c)))))) a)
✓	12.8%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)))))) a)
	29.3%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
✓	14.6%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 b_2))) a)
✓	54.1%	(+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a))
	15.5%	(+.f64 (/.f64 (neg.f64 b_2) a) #s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) (sqrt.f64 (/.f64 (neg.f64 c) a))))
✓	35.6%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) c)) b_2))
✓	34.6%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 (-.f64 (.f64 (.f64 a (/.f64 c (.f64 b_2 b_2))) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) c)) b_2))
✓	11.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)))) b_2))
✓	35.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b_2))
	32.2%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a 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))))))
	36.2%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 b_2) (+.f64 (/.f64 #s(literal 2 binary64) a) (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)))))
✓	36.2%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
	13.5%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 (neg.f64 c) a)))
✓	17.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (sqrt (* (/ c a) -1)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a)))))

Samples

29.0ms

768×

valid

Compiler

Compiled 1 430 to 588 computations (58.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 10.0ms (67.8% of total)

ival-div: 4.0ms (27.1% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

regimes92.0ms (1.6%)

Memory

3.5MiB live, 84.4MiB allocated; 16ms collecting garbage

Counts

31 → 3

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 b_2))) a)
#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 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b_2))
(/.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 (/.f64 (neg.f64 c) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)))) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (sqrt (* (/ c a) -1)) (neg.f64 (sqrt.f64 (/.f64 (neg.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)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) c)) b_2))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
(+.f64 (/.f64 (neg.f64 b_2) a) #s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) (sqrt.f64 (/.f64 (neg.f64 c) a))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (sqrt.f64 (/.f64 (neg.f64 a) c))))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)))))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 (-.f64 (.f64 (.f64 a (/.f64 c (.f64 b_2 b_2))) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) c)) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 b_2) (+.f64 (/.f64 #s(literal 2 binary64) a) (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)))))
(+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (neg.f64 (/.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c)))))) a)
(/.f64 (+.f64 (.f64 (neg.f64 b_2) a) (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (*.f64 a a))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (+.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)) (/.f64 b_2 c)) (neg.f64 c))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) (+.f64 (sqrt.f64 (.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 b_2 c)))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (+.f64 (sqrt.f64 (.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 (neg.f64 b_2) c)) c)) a)
(/.f64 (/.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))))) a)
(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))) 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 (neg.f64 c) (+.f64 (sqrt.f64 (.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #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) (+.f64 (/.f64 (/.f64 b_2 a) c) (sqrt.f64 (.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))

Outputs

#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (+.f64 (/.f64 #s(literal 2 binary64) a) (*.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)))))

(+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 c a))) a))

#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (+.f64 (*.f64 (*.f64 a (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) c)) b_2))

Calls

4 calls:

49.0ms	c
24.0ms	a
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

Accuracy	Segments	Branch
77.4%	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
56.3%	2	`a`
88.1%	3	`b_2`
57.6%	2	`c`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes8.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated; 0ms collecting garbage

Counts

20 → 3

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 b_2))) a)
#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 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b_2))
(/.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 (/.f64 (neg.f64 c) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)))) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (sqrt (* (/ c a) -1)) (neg.f64 (sqrt.f64 (/.f64 (neg.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)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) c)) b_2))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
(+.f64 (/.f64 (neg.f64 b_2) a) #s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) (sqrt.f64 (/.f64 (neg.f64 c) a))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (sqrt.f64 (/.f64 (neg.f64 a) c))))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)))))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 (-.f64 (.f64 (.f64 a (/.f64 c (.f64 b_2 b_2))) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) c)) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 b_2) (+.f64 (/.f64 #s(literal 2 binary64) a) (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)))))

Outputs

#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (+.f64 (/.f64 #s(literal 2 binary64) a) (*.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64)))))

(/.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 (*.f64 (*.f64 a (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) c)) b_2))

Calls

1 calls:

6.0ms

b_2

Results

Accuracy	Segments	Branch
88.1%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes11.0ms (0.2%)

Memory

-28.0MiB live, 16.1MiB allocated; 8ms collecting garbage

Counts

19 → 3

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 b_2))) a)
#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 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b_2))
(/.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 (/.f64 (neg.f64 c) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)))) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (sqrt (* (/ c a) -1)) (neg.f64 (sqrt.f64 (/.f64 (neg.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)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) c)) b_2))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
(+.f64 (/.f64 (neg.f64 b_2) a) #s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) (sqrt.f64 (/.f64 (neg.f64 c) a))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (sqrt.f64 (/.f64 (neg.f64 a) c))))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) #s(approx (+ (sqrt ( (/ a c) -1)) (/ b_2 c)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 a) c)))))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 (-.f64 (.f64 (.f64 a (/.f64 c (.f64 b_2 b_2))) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) c)) b_2))

Outputs

#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 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 (*.f64 (*.f64 a (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) c)) b_2))

Calls

1 calls:

10.0ms

b_2

Results

Accuracy	Segments	Branch
88.0%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Counts

14 → 3

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 b_2))) a)
#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 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b_2))
(/.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 (/.f64 (neg.f64 c) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)))) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (sqrt (* (/ c a) -1)) (neg.f64 (sqrt.f64 (/.f64 (neg.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)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) c)) b_2))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
(+.f64 (/.f64 (neg.f64 b_2) a) #s(approx (/ (sqrt (- (* b_2 b_2) (* c a))) a) (sqrt.f64 (/.f64 (neg.f64 c) a))))

Outputs

#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 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 (*.f64 (*.f64 a (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) c)) b_2))

Calls

1 calls:

4.0ms

b_2

Results

Accuracy	Segments	Branch
84.9%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory

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

Counts

12 → 3

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 b_2))) a)
#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 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b_2))
(/.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 (/.f64 (neg.f64 c) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)))) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (sqrt (* (/ c a) -1)) (neg.f64 (sqrt.f64 (/.f64 (neg.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)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) c)) b_2))

Outputs

#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 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 (*.f64 (*.f64 a (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) c)) b_2))

Calls

1 calls:

4.0ms

b_2

Results

Accuracy	Segments	Branch
84.6%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Counts

11 → 3

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 b_2))) a)
#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 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b_2))
(/.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 (/.f64 (neg.f64 c) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)))) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (sqrt (* (/ c a) -1)) (neg.f64 (sqrt.f64 (/.f64 (neg.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

#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 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 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b_2))

Calls

1 calls:

4.0ms

b_2

Results

Accuracy	Segments	Branch
84.5%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes18.0ms (0.3%)

Memory

-43.5MiB live, 14.3MiB allocated; 19ms collecting garbage

Counts

10 → 4

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 b_2))) a)
#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 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b_2))
(/.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 (/.f64 (neg.f64 c) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)))) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (sqrt (* (/ c a) -1)) (neg.f64 (sqrt.f64 (/.f64 (neg.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
#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) #s(approx (sqrt (* (/ c a) -1)) (neg.f64 (sqrt.f64 (/.f64 (neg.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) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b_2))

Calls

2 calls:

14.0ms	b_2
3.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
56.3%	4	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
75.1%	4	`b_2`

Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes3.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated; 0ms collecting garbage

Counts

7 → 3

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 b_2))) a)
#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 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b_2))
(/.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 (/.f64 (neg.f64 c) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (.f64 a (.f64 (ratio-of-squares.f64 c b_2) #s(literal -1/8 binary64)))) b_2))

Outputs

#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) (sqrt.f64 (/.f64 (neg.f64 c) a)))

#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b_2))

Calls

1 calls:

3.0ms

b_2

Results

Accuracy	Segments	Branch
72.3%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes3.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 b_2))) a)
#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 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b_2))
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)) a)

Outputs

#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 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b_2))

Calls

1 calls:

2.0ms

b_2

Results

Accuracy	Segments	Branch
69.0%	2	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes2.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 b_2))) a)

#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 (/.f64 c b_2) #s(literal -1/2 binary64)))

Outputs

#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 (/.f64 c b_2) #s(literal -1/2 binary64)))

Calls

1 calls:

2.0ms

b_2

Results

Accuracy	Segments	Branch
69.0%	2	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

15.5MiB live, 15.5MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 b_2))) a)

#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))

Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))

Calls

4 calls:

1.0ms	a
1.0ms	c
1.0ms	b_2
1.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
36.2%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
36.2%	1	`a`
36.2%	1	`c`
36.2%	1	`b_2`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes8.0ms (0.1%)

Memory

-32.3MiB live, 13.3MiB allocated; 6ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 b_2))) a)

Outputs
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 b_2))) a)

Calls

4 calls:

5.0ms	a
1.0ms	c
1.0ms	b_2
1.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
14.6%	1	`b_2`
14.6%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
14.6%	1	`a`
14.6%	1	`c`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch89.0ms (1.5%)

Memory

9.0MiB live, 53.8MiB allocated; 8ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
77.0ms	1.408198582871991e-73	1.717597843018449e-71
8.0ms	-6.145455411315447e+107	-2.4583513472132492e+107

Samples

66.0ms	252×	0	valid
5.0ms	34×	1	valid
4.0ms	18×	2	valid
2.0ms	25×	0	invalid

Compiler

Compiled 525 to 405 computations (22.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 57.0ms (84.4% of total)

ival-div: 2.0ms (3% of total)

adjust: 2.0ms (3% of total)

ival-sqrt: 2.0ms (3% of total)

ival-sub: 1.0ms (1.5% of total)

ival-add: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

bsearch8.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	1.408198582871991e-73	1.717597843018449e-71
1.0ms	-6.145455411315447e+107	-2.4583513472132492e+107

Samples

4.0ms

112×

valid

Compiler

Compiled 501 to 393 computations (21.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (49.1% of total)

ival-mult: 1.0ms (49.1% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch7.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	1.408198582871991e-73	1.717597843018449e-71
1.0ms	-6.145455411315447e+107	-2.4583513472132492e+107

Samples

4.0ms

112×

valid

Compiler

Compiled 456 to 363 computations (20.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (49.6% of total)

ival-mult: 1.0ms (49.6% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch41.0ms (0.7%)

Memory

-20.4MiB live, 24.4MiB allocated; 11ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	1.408198582871991e-73	1.717597843018449e-71
8.0ms	-3.375882545112643e-103	-1.8562918569458467e-103

Samples

33.0ms	176×	0	valid
1.0ms	18×	0	invalid

Compiler

Compiled 479 to 370 computations (22.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-div: 25.0ms (84.5% of total)

ival-mult: 3.0ms (10.1% of total)

ival-add: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-sub: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

ival-sqrt: 0.0ms (0% of total)

ival-neg: 0.0ms (0% of total)

bsearch34.0ms (0.6%)

Memory

-7.0MiB live, 44.4MiB allocated; 13ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.408198582871991e-73	1.717597843018449e-71
19.0ms	-1.7750855325487222e-124	-6.174759736147382e-131

Samples

20.0ms	256×	0	valid
3.0ms	43×	0	invalid

Compiler

Compiled 680 to 531 computations (21.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 8.0ms (49.9% of total)

ival-mult: 4.0ms (25% of total)

ival-add: 1.0ms (6.2% of total)

ival-sub: 1.0ms (6.2% of total)

ival-sqrt: 1.0ms (6.2% of total)

ival-neg: 1.0ms (6.2% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

bsearch5.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	1.408198582871991e-73	1.717597843018449e-71
1.0ms	-1.7750855325487222e-124	-6.174759736147382e-131

Samples

1.0ms	5×	1	valid
1.0ms	3×	2	valid
1.0ms	8×	0	valid

Compiler

Compiled 736 to 559 computations (24% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-div: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-sub: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-sqrt: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

ival-mult: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

ival-neg: 0.0ms (0% of total)

bsearch86.0ms (1.4%)

Memory

22.5MiB live, 159.7MiB allocated; 22ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	6.769428989806256e-141	1.3479490500063787e-122
26.0ms	6.2444602391032e-206	2.5351076621075858e-203
24.0ms	-6.174759736147382e-131	-7.735054009682015e-138

Samples

40.0ms	388×	0	valid
11.0ms	156×	0	invalid
5.0ms	36×	1	valid
2.0ms	8×	2	valid

Compiler

Compiled 1 338 to 1 018 computations (23.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-sqrt: 10.0ms (30.7% of total)

ival-mult: 8.0ms (24.6% of total)

ival-div: 4.0ms (12.3% of total)

ival-sub: 3.0ms (9.2% of total)

ival-add: 3.0ms (9.2% of total)

ival-neg: 3.0ms (9.2% of total)

adjust: 2.0ms (6.1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

bsearch36.0ms (0.6%)

Memory

-12.3MiB live, 42.2MiB allocated; 14ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	6.769428989806256e-141	1.3479490500063787e-122
32.0ms	-8.2424955763317e-231	-1.937305602055214e-243

Samples

18.0ms	160×	0	valid
5.0ms	80×	0	invalid

Compiler

Compiled 936 to 706 computations (24.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 3.0ms (30.8% of total)

ival-div: 2.0ms (20.5% of total)

ival-add: 1.0ms (10.3% of total)

ival-sub: 1.0ms (10.3% of total)

ival-sqrt: 1.0ms (10.3% of total)

ival-neg: 1.0ms (10.3% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

bsearch36.0ms (0.6%)

Memory

0.7MiB live, 45.6MiB allocated; 7ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
32.0ms	-5.0307644230517687e-290	2.161612936372216e-299

Samples

12.0ms	176×	0	valid
6.0ms	90×	0	invalid

Compiler

Compiled 610 to 445 computations (27% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 3.0ms (27.9% of total)

ival-div: 2.0ms (18.6% of total)

ival-sqrt: 2.0ms (18.6% of total)

ival-add: 1.0ms (9.3% of total)

ival-sub: 1.0ms (9.3% of total)

ival-neg: 1.0ms (9.3% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-5.0307644230517687e-290	2.161612936372216e-299

Compiler

Compiled 434 to 346 computations (20.3% saved)

simplify74.0ms (1.2%)

Memory

8.5MiB live, 53.5MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	789
1	196	787
2	403	787
3	1253	779
4	4918	779
5	7511	779

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -510000000000000019946891823339582733845037588217582050479729208459714789393092200152906288051245041334616064 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 b_2) (+.f64 (/.f64 #s(literal 2 binary64) a) (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64))))) (if (<=.f64 b_2 #s(literal 3605593463970953/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) (+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) c)) b_2))))
(if (<=.f64 b_2 #s(literal -510000000000000019946891823339582733845037588217582050479729208459714789393092200152906288051245041334616064 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 b_2) (+.f64 (/.f64 #s(literal 2 binary64) a) (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64))))) (if (<=.f64 b_2 #s(literal 3605593463970953/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) (/.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 (.f64 (.f64 a (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) c)) b_2))))
(if (<=.f64 b_2 #s(literal -510000000000000019946891823339582733845037588217582050479729208459714789393092200152906288051245041334616064 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))) (if (<=.f64 b_2 #s(literal 3605593463970953/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) (/.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 (.f64 (.f64 a (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) c)) b_2))))
(if (<=.f64 b_2 #s(literal -6657362966942811/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))) (if (<=.f64 b_2 #s(literal 3605593463970953/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) (/.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 (.f64 (.f64 a (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) c)) b_2))))
(if (<=.f64 b_2 #s(literal -520997997575091/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))) (if (<=.f64 b_2 #s(literal 3605593463970953/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 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)))) a) (/.f64 (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) c)) b_2))))
(if (<=.f64 b_2 #s(literal -520997997575091/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))) (if (<=.f64 b_2 #s(literal 839232961441515/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 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)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b_2))))
(if (<=.f64 b_2 #s(literal -6383111685397477/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))) (if (<=.f64 b_2 #s(literal 2206260905240795/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) #s(approx (sqrt (* (/ c a) -1)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))) (if (<=.f64 b_2 #s(literal 4525135176355627/1675975991242824637446753124775730765934920727574049172215445180465220503759193372100234287270862928461253982273310756356719235351493321243304206125760512 binary64)) #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) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b_2)))))
(if (<=.f64 b_2 #s(literal -756067063447739/229111231347799689635350271469398707925773913377365220235531597618488512042823233274762274126597027003434876073751997760595174886056587013603560208332516636964102994463833696818134410091831830209960320065853961979807444428853900668922870296851794362368 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))) (if (<=.f64 b_2 #s(literal 4525135176355627/1675975991242824637446753124775730765934920727574049172215445180465220503759193372100234287270862928461253982273310756356719235351493321243304206125760512 binary64)) #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) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b_2))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #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 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b_2)))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #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 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 b_2))) a)

Outputs
(if (<=.f64 b_2 #s(literal -510000000000000019946891823339582733845037588217582050479729208459714789393092200152906288051245041334616064 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 b_2) (+.f64 (/.f64 #s(literal 2 binary64) a) (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64))))) (if (<=.f64 b_2 #s(literal 3605593463970953/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) (+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) c)) b_2))))
(if (<=.f64 b_2 #s(literal -510000000000000019946891823339582733845037588217582050479729208459714789393092200152906288051245041334616064 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 b_2) (+.f64 (/.f64 #s(literal 2 binary64) a) (.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64))))) (if (<=.f64 b_2 #s(literal 3605593463970953/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) (/.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 (.f64 (.f64 a (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) c)) b_2))))
(if (<=.f64 b_2 #s(literal -510000000000000019946891823339582733845037588217582050479729208459714789393092200152906288051245041334616064 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))) (if (<=.f64 b_2 #s(literal 3605593463970953/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) (/.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 (.f64 (.f64 a (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) c)) b_2))))
(if (<=.f64 b_2 #s(literal -6657362966942811/20173827172553973356686868531273530268200826506478308693989526222973809547006571833044104322501076808092993531037089792 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))) (if (<=.f64 b_2 #s(literal 3605593463970953/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) (/.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 (.f64 (.f64 a (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) c)) b_2))))
(if (<=.f64 b_2 #s(literal -520997997575091/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))) (if (<=.f64 b_2 #s(literal 3605593463970953/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 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)))) a) (/.f64 (+.f64 (.f64 (.f64 a (ratio-of-squares.f64 c b_2)) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) c)) b_2))))
(if (<=.f64 b_2 #s(literal -520997997575091/2977131414714805823690030317109266572712515013375254774912983855843898524112477893944078543723575564536883288499266264815757728270805630976 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))) (if (<=.f64 b_2 #s(literal 839232961441515/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 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)))) a) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b_2))))
(if (<=.f64 b_2 #s(literal -6383111685397477/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))) (if (<=.f64 b_2 #s(literal 2206260905240795/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) #s(approx (sqrt (* (/ c a) -1)) (neg.f64 (sqrt.f64 (/.f64 (neg.f64 c) a))))) (if (<=.f64 b_2 #s(literal 4525135176355627/1675975991242824637446753124775730765934920727574049172215445180465220503759193372100234287270862928461253982273310756356719235351493321243304206125760512 binary64)) #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) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b_2)))))
(if (<=.f64 b_2 #s(literal -756067063447739/229111231347799689635350271469398707925773913377365220235531597618488512042823233274762274126597027003434876073751997760595174886056587013603560208332516636964102994463833696818134410091831830209960320065853961979807444428853900668922870296851794362368 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))) (if (<=.f64 b_2 #s(literal 4525135176355627/1675975991242824637446753124775730765934920727574049172215445180465220503759193372100234287270862928461253982273310756356719235351493321243304206125760512 binary64)) #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) (/.f64 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b_2))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #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 #s(approx (+ (* (* a (/ (* c c) (* b_2 b_2))) -1/8) (* -1/2 c)) (*.f64 #s(literal -1/2 binary64) c)) b_2)))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #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 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(approx (* (neg c) (+ (sqrt (* (/ a c) -1)) (/ b_2 c))) (neg.f64 b_2))) a)

derivations217.0ms (3.7%)

Memory

3.0MiB live, 204.3MiB allocated; 69ms collecting garbage

Stop Event

1×

fuel

Samples

17.0ms

256×

valid

Compiler

Compiled 789 to 124 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 6.0ms (66.7% of total)

ival-div: 3.0ms (33.3% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess646.0ms (10.9%)

Memory

-1.1MiB live, 742.3MiB allocated; 138ms collecting garbage

Samples

453.0ms

8 256×

valid

Compiler

Compiled 1 604 to 268 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 254.0ms

ival-mult: 132.0ms (52% of total)

ival-div: 112.0ms (44.1% of total)

ival-true: 5.0ms (2% of total)

ival-assert: 3.0ms (1.2% of total)

adjust: 2.0ms (0.8% of total)

end0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

Iter	Nodes	Cost
0	48	131
1	127	129
2	247	129
3	400	129
4	521	129
5	574	129
6	590	129
0	10	13
0	17	13
1	28	13
2	53	13
3	98	13
4	133	13
5	145	13
6	157	13
7	170	13
0	170	13

Iter	Nodes	Cost
0	48	131
1	127	129
2	247	129
3	400	129
4	521	129
5	574	129
6	590	129
0	10	13
0	17	13
1	28	13
2	53	13
3	98	13
4	133	13
5	145	13
6	157	13
7	170	13
0	170	13

start0.0ms (0%)

analyze131.0ms (2.2%)

sample1.5s (25.4%)

explain138.0ms (2.3%)

preprocess25.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

series22.0ms (0.4%)

rewrite127.0ms (2.1%)

eval588.0ms (9.9%)

prune46.0ms (0.8%)

series64.0ms (1.1%)

rewrite173.0ms (2.9%)

eval453.0ms (7.6%)

prune70.0ms (1.2%)

series36.0ms (0.6%)

rewrite124.0ms (2.1%)

eval194.0ms (3.3%)

prune76.0ms (1.3%)

series46.0ms (0.8%)

rewrite162.0ms (2.7%)

eval428.0ms (7.2%)

prune73.0ms (1.2%)

regimes92.0ms (1.6%)

regimes8.0ms (0.1%)

regimes11.0ms (0.2%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes18.0ms (0.3%)

regimes3.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch89.0ms (1.5%)

bsearch8.0ms (0.1%)

bsearch7.0ms (0.1%)

bsearch41.0ms (0.7%)

bsearch34.0ms (0.6%)

bsearch5.0ms (0.1%)

bsearch86.0ms (1.4%)

bsearch36.0ms (0.6%)

bsearch36.0ms (0.6%)

bsearch2.0ms (0%)

simplify74.0ms (1.2%)

derivations217.0ms (3.7%)

preprocess646.0ms (10.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	48	131
1	127	129
2	247	129
3	400	129
4	521	129
5	574	129
6	590	129
0	10	13
0	17	13
1	28	13
2	53	13
3	98	13
4	133	13
5	145	13
6	157	13
7	170	13
0	170	13