Metrics for quad2p (problem 3.2.1, positive)

start0.0ms (0%)

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

analyze145.0ms (4.1%)

Memory

-14.1MiB live, 178.5MiB allocated; 52ms 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)

sample2.0s (57.2%)

Memory

17.2MiB live, 1 950.3MiB allocated; 1.2s collecting garbage

Samples

979.0ms	5 441×	0	valid
274.0ms	1 268×	2	valid
246.0ms	1 362×	1	valid
79.0ms	1 049×	0	invalid
48.0ms	185×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-add: 470.0ms (35.5% of total)

ival-mult: 227.0ms (17.2% of total)

ival-sub: 208.0ms (15.7% of total)

adjust: 119.0ms (9% of total)

ival-sqrt: 102.0ms (7.7% of total)

ival-div: 101.0ms (7.6% of total)

ival-neg: 92.0ms (7% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain161.0ms (4.6%)

Memory

-41.8MiB live, 218.4MiB allocated; 45ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
105	-	0	-	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
65	-	0	-	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
10	-	2	(-1.3170698281407402e-180 1.6110466165097227e+277 -1.1733697222304016e+139)	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
6	-	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	99	0
↳	`(*.f64 b_2 b_2)`	overflow	89
↳	`(*.f64 a c)`	overflow	20
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	overflow	99
`+.f64`	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	cancellation	65	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`	u/n	8	0
↳	`(*.f64 b_2 b_2)`	underflow	38
↳	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	underflow	22
↳	`(*.f64 a c)`	underflow	35
↳	`(-.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	38
↳	`(*.f64 a c)`	underflow	35
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	6
`-.f64`	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	nan-rescue	6	0
↳	`(*.f64 b_2 b_2)`	overflow	89
↳	`(*.f64 a c)`	overflow	20

Confusion

	Predicted +	Predicted -
+	124	0
-	21	111

Precision

0.8551724137931035

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	124	0	0
-	21	0	111

Precision?

0.8551724137931035

Recall?

1.0

Freqs

test

number	freq
0	111
1	110
2	31
3	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms	338×	0	valid
23.0ms	90×	2	valid
12.0ms	76×	1	valid
2.0ms	8×	3	valid

Compiler

Compiled 117 to 34 computations (70.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 10.0ms (25.3% of total)

adjust: 8.0ms (20.3% of total)

ival-sqrt: 6.0ms (15.2% of total)

ival-div: 6.0ms (15.2% of total)

ival-sub: 4.0ms (10.1% of total)

ival-add: 4.0ms (10.1% of total)

ival-neg: 2.0ms (5.1% of total)

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

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

preprocess21.0ms (0.6%)

Memory

23.0MiB live, 23.0MiB allocated; 0ms 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 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))) (neg.f64 b_2)) a)

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.3%	(/.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)

series28.0ms (0.8%)

Memory

-21.3MiB live, 26.3MiB allocated; 9ms 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
8.0ms	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 (3.6%)

Memory

15.5MiB live, 105.3MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	627	4205
0	638	3945
0	3529	3829

Stop Event

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

Counts

116 → 147

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
(neg.f64 b_2)
b_2
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(*.f64 b_2 b_2)
(*.f64 a c)
a
c
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1/2 (/ (* a c) b_2))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ b_2 (* -1/2 (/ (* a c) b_2)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (pow b_2 2)))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (+ (* -1 (* a c)) (pow b_2 2))))
#s(approx (* a c) #s(hole binary64 (* a c)))
#s(approx a #s(hole binary64 a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* -1 (* a c))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* a (- (/ (pow b_2 2) a) c))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (neg b_2) #s(hole binary64 (* -1 b_2)))
#s(approx b_2 #s(hole binary64 b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (- (pow b_2 2) (* a c))))
#s(approx (* b_2 b_2) #s(hole binary64 (pow b_2 2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -2 (/ b_2 a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -2 b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 b_2)))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))))
#s(approx c #s(hole binary64 c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* c (- (/ (pow b_2 2) c) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))))

Outputs
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))))) (neg.f64 a))
(/.f64 (fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))) a)
(fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) a))
(fma.f64 #s(literal -1 binary64) (/.f64 b_2 a) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) a))
(+.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) a))
(/.f64 (-.f64 (.f64 b_2 b_2) (.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))))) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 b_2) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) #s(literal 3 binary64))) (fma.f64 b_2 b_2 (-.f64 (.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)))) (.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)))))))
(fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))))
(fma.f64 b_2 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))))
(+.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) (neg.f64 b_2))
(+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))))
(*.f64 #s(literal -1 binary64) b_2)
(*.f64 b_2 #s(literal -1 binary64))
(neg.f64 b_2)
b_2
(pow.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 (.f64 c a) (.f64 c a))) (fma.f64 b_2 b_2 (.f64 c a)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 a) c) (.f64 (neg.f64 a) c)) (pow.f64 b_2 #s(literal 4 binary64))) (-.f64 (.f64 (neg.f64 a) c) (*.f64 b_2 b_2)))
(/.f64 (-.f64 (pow.f64 (.f64 b_2 b_2) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (+.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 (.f64 c a) (.f64 c a) (.f64 (.f64 b_2 b_2) (*.f64 c a)))))
(/.f64 (+.f64 (pow.f64 (.f64 (neg.f64 a) c) #s(literal 3 binary64)) (pow.f64 (.f64 b_2 b_2) #s(literal 3 binary64))) (fma.f64 (.f64 (neg.f64 a) c) (.f64 (neg.f64 a) c) (-.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 a) c) (*.f64 b_2 b_2)))))
(fma.f64 (pow.f64 b_2 #s(literal 1 binary64)) (pow.f64 b_2 #s(literal 1 binary64)) (*.f64 (neg.f64 a) c))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(fma.f64 (fabs.f64 b_2) (fabs.f64 b_2) (*.f64 (neg.f64 a) c))
(fma.f64 #s(literal -1 binary64) (.f64 c a) (.f64 b_2 b_2))
(fma.f64 (.f64 c a) #s(literal -1 binary64) (.f64 b_2 b_2))
(fma.f64 (neg.f64 b_2) (neg.f64 b_2) (*.f64 (neg.f64 a) c))
(fma.f64 b_2 b_2 (*.f64 (neg.f64 a) c))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(+.f64 (.f64 (neg.f64 a) c) (.f64 b_2 b_2))
(+.f64 (.f64 b_2 b_2) (.f64 (neg.f64 a) c))
(*.f64 (pow.f64 b_2 #s(literal 1 binary64)) (pow.f64 b_2 #s(literal 1 binary64)))
(*.f64 (fabs.f64 b_2) (fabs.f64 b_2))
(*.f64 (neg.f64 b_2) (neg.f64 b_2))
(*.f64 b_2 b_2)
(pow.f64 b_2 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 b_2) #s(literal 2 binary64)))
(*.f64 c a)
(*.f64 a c)
a
c
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (fma.f64 (fma.f64 (.f64 a (/.f64 (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 a (/.f64 (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64) b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a b_2))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))
#s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))
#s(approx (* a c) (*.f64 c a))
#s(approx a a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (fma.f64 (.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (sqrt.f64 (.f64 (/.f64 c a) #s(literal -1 binary64)))) a))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) (/.f64 b_2 a))) a))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (fma.f64 (.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (sqrt.f64 (.f64 (/.f64 c a) #s(literal -1 binary64))) (/.f64 b_2 a)))) a))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (sqrt.f64 (*.f64 (neg.f64 a) c)))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))) a))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (fma.f64 (.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (.f64 (/.f64 c a) #s(literal -1 binary64))))) a))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (fma.f64 (.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal 1/16 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))) a))
#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))
#s(approx (- (* b_2 b_2) (* a c)) (.f64 (-.f64 (/.f64 (.f64 b_2 b_2) a) c) a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 (neg.f64 b_2) a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 c a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) b_2) a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (pow.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) a) #s(literal -1 binary64) b_2) a) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg.f64 (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 a) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 a) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 c a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2))) b_2) a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 a) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) a)) b_2) a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (neg.f64 (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (sqrt.f64 (.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (neg.f64 a) (fma.f64 (.f64 (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (sqrt.f64 (.f64 (/.f64 c a) #s(literal -1 binary64)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (neg.f64 a) (fma.f64 (.f64 (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal 1/16 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (sqrt.f64 (.f64 (/.f64 c a) #s(literal -1 binary64))))))))
#s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 b_2 b_2) a) c))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 a #s(literal -1 binary64))) b_2 (sqrt.f64 (.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 (/.f64 (.f64 b_2 b_2) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/8 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) b_2) (pow.f64 a #s(literal -1 binary64))) b_2 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (+.f64 (sqrt.f64 (*.f64 (neg.f64 a) c)) (neg.f64 b_2)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 c a)))) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1 binary64)) b_2 (sqrt.f64 (.f64 (neg.f64 a) c))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (.f64 b_2 b_2) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 c a)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) b_2) #s(literal 1 binary64)) b_2 (sqrt.f64 (.f64 (neg.f64 a) c))))
#s(approx (neg b_2) (neg.f64 b_2))
#s(approx b_2 b_2)
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 c a)))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (.f64 (neg.f64 a) c))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (.f64 b_2 b_2) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 c a)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (.f64 b_2 b_2) (sqrt.f64 (.f64 (neg.f64 a) c))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 c a)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 (pow.f64 (.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (/.f64 (.f64 b_2 b_2) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)))) (.f64 b_2 b_2))) (.f64 b_2 b_2) (sqrt.f64 (.f64 (neg.f64 a) c))))
#s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))
#s(approx (* b_2 b_2) (*.f64 b_2 b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (.f64 b_2 b_2)) #s(literal -1/8 binary64) (.f64 #s(literal -1/2 binary64) c)) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 c c) a)) (.f64 b_2 b_2)))) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 #s(literal -1/2 binary64) c (fma.f64 (/.f64 (/.f64 (.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) #s(literal 5/64 binary64)) a) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 c c) a)) (.f64 b_2 b_2))))) b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) c (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (.f64 b_2 b_2))) b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) c (fma.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (*.f64 b_2 b_2)))) b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) c (fma.f64 (/.f64 (.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) #s(literal 5/64 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (*.f64 b_2 b_2))))) b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (fma.f64 (.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 1 binary64)) b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (+.f64 (fma.f64 (.f64 a (/.f64 c (.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))) b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (+.f64 (fma.f64 (.f64 a (/.f64 c (.f64 b_2 b_2))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64))))) #s(literal 1 binary64)) b_2))
#s(approx (- (* b_2 b_2) (* a c)) (.f64 (fma.f64 (.f64 a (/.f64 c (.f64 b_2 b_2))) #s(literal -1 binary64) #s(literal 1 binary64)) (.f64 b_2 b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 #s(literal 2 binary64) a))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 b_2) (fma.f64 (.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 2 binary64))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 b_2) (+.f64 (fma.f64 (.f64 a (/.f64 c (.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 b_2) (+.f64 (fma.f64 (.f64 a (/.f64 c (.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 2 binary64)) (fma.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (neg.f64 b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (neg.f64 b_2) (fma.f64 (.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 1 binary64))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (neg.f64 b_2) (+.f64 (fma.f64 (.f64 a (/.f64 c (.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (neg.f64 b_2) (+.f64 (fma.f64 (.f64 a (/.f64 c (.f64 b_2 b_2))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64))))) #s(literal 1 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (-.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (*.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) b_2)) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 a a) (/.f64 c (pow.f64 b_2 #s(literal 5 binary64)))) #s(literal -1/16 binary64) (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b_2)) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (-.f64 (.f64 (fma.f64 (fma.f64 (.f64 (/.f64 c a) (/.f64 (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 a a)) (pow.f64 b_2 #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64))) c) (/.f64 #s(literal 1/2 binary64) b_2)) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (fma.f64 (.f64 (.f64 a a) (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1/8 binary64) (.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b_2 #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) (pow.f64 b_2 #s(literal 3 binary64)))) c (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 c (/.f64 (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) c (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) (pow.f64 b_2 #s(literal 3 binary64)))) c (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (fma.f64 (.f64 (.f64 a a) (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b_2 #s(literal 5 binary64)))) #s(literal -1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) (pow.f64 b_2 #s(literal 3 binary64)))) c (.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) c b_2))
#s(approx c c)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (fma.f64 (/.f64 (/.f64 b_2 a) c) #s(literal -1 binary64) (sqrt.f64 (.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (fma.f64 (/.f64 (/.f64 b_2 a) c) #s(literal -1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (.f64 (pow.f64 (.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (fma.f64 (/.f64 (/.f64 b_2 a) c) #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (pow.f64 (.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (.f64 (pow.f64 (.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (fma.f64 (/.f64 b_2 c) #s(literal -1 binary64) (sqrt.f64 (.f64 (/.f64 a c) #s(literal -1 binary64)))) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 b_2 c))) c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (sqrt.f64 (.f64 (/.f64 a c) #s(literal -1 binary64))) (/.f64 b_2 c)))) c))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))) c))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (.f64 (/.f64 a c) #s(literal -1 binary64))))) c))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64)))) #s(literal 1/16 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64)))))) c))
#s(approx (- (* b_2 b_2) (* a c)) (.f64 (-.f64 (/.f64 (.f64 b_2 b_2) c) a) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 b_2 a) c))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (sqrt.f64 (pow.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) #s(literal -1/2 binary64) (/.f64 (neg.f64 b_2) a)) c) #s(literal -1 binary64) (sqrt.f64 (.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (.f64 (pow.f64 a #s(literal 5 binary64)) c) #s(literal -1 binary64)))) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)))) c) #s(literal -1 binary64) (/.f64 (neg.f64 b_2) a)) c) #s(literal -1 binary64) (sqrt.f64 (.f64 (pow.f64 (.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 c))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 c a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2))) b_2) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) c)) b_2) c) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (sqrt.f64 (.f64 (/.f64 a c) #s(literal -1 binary64))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (neg.f64 c) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (sqrt.f64 (.f64 (/.f64 a c) #s(literal -1 binary64)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (neg.f64 c) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) #s(literal 1/16 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (sqrt.f64 (.f64 (/.f64 a c) #s(literal -1 binary64))))))))
#s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 c) (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 b_2 b_2) c) a))))

eval21.0ms (0.6%)

Memory: -18.0MiB live, 27.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 4 876 to 810 computations (83.4% saved)

prune9.0ms (0.2%)

Memory

14.3MiB live, 14.3MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	145	7	152
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	145	8	153

Accuracy

99.8%

Counts

153 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	34.4%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
▶	31.7%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
	19.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))
▶	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)))
▶	35.9%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
▶	18.6%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))
▶	18.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64)))))

Compiler

Compiled 295 to 216 computations (26.8% saved)

series32.0ms (0.9%)

Memory

-19.0MiB live, 31.3MiB allocated; 9ms collecting garbage

Counts

23 → 78

Calls

Call 1

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

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 (* -2 (/ b_2 a)) #s(hole binary64 (* -2 (/ b_2 a))))
#s(approx (/ b_2 a) #s(hole binary64 (/ b_2 a)))
#s(approx a #s(hole binary64 a))
#s(approx (sqrt (* (/ c a) -1)) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (* (/ c a) -1) #s(hole binary64 (* -1 (/ c a))))
#s(approx (/ c a) #s(hole binary64 (/ c a)))
#s(approx (neg (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 (* -1/2 (/ (* 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 (* (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 (/ (+ (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 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (sqrt (* (neg a) c)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx b_2 #s(hole binary64 b_2))
#s(approx (* (/ c b_2) -1/2) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx (/ c b_2) #s(hole binary64 (/ c b_2)))
#s(approx (+ (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) (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 (/ (+ (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 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))))
#s(approx c #s(hole binary64 c))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))))
#s(approx (/ (+ (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 (sqrt (* (/ c a) -1))) #s(hole binary64 (* (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
10.0ms	c	@	-inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -2 (/ b_2 a)) -2 (/ b_2 a) b_2 a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) c -1/2 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (* (/ c a) -1)) (* (/ c a) -1) (/ c a) -1 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg (sqrt (* (/ c a) -1))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (* (neg a) c)) (* (neg a) c) (neg a))
4.0ms	b_2	@	-inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -2 (/ b_2 a)) -2 (/ b_2 a) b_2 a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) c -1/2 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (* (/ c a) -1)) (* (/ c a) -1) (/ c a) -1 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg (sqrt (* (/ c a) -1))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (* (neg a) c)) (* (neg a) c) (neg a))
3.0ms	c	@	inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -2 (/ b_2 a)) -2 (/ b_2 a) b_2 a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) c -1/2 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (* (/ c a) -1)) (* (/ c a) -1) (/ c a) -1 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg (sqrt (* (/ c a) -1))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (* (neg a) c)) (* (neg a) c) (neg a))
3.0ms	a	@	0	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -2 (/ b_2 a)) -2 (/ b_2 a) b_2 a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) c -1/2 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (* (/ c a) -1)) (* (/ c a) -1) (/ c a) -1 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg (sqrt (* (/ c a) -1))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (* (neg a) c)) (* (neg a) c) (neg a))
2.0ms	c	@	0	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -2 (/ b_2 a)) -2 (/ b_2 a) b_2 a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) c -1/2 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (* (/ c a) -1)) (* (/ c a) -1) (/ c a) -1 (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg (sqrt (* (/ c a) -1))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (* (neg a) c)) (* (neg a) c) (neg a))

rewrite99.0ms (2.8%)

Memory

37.3MiB live, 82.4MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	510	3001
0	528	2769
0	2786	2702

Stop Event

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

Counts

101 → 129

Calls

Call 1

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

eval18.0ms (0.5%)

Memory: -20.3MiB live, 25.4MiB allocated; 4ms collecting garbage
Compiler: Compiled 4 472 to 634 computations (85.8% saved)

prune10.0ms (0.3%)

Memory

16.9MiB live, 16.9MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	152	4	156
Fresh	1	1	2
Picked	2	3	5
Done	0	1	1
Total	155	9	164

Accuracy

99.8%

Counts

164 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
▶	34.4%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
▶	17.1%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a)
✓	31.7%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
▶	19.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (sqrt.f64 (neg.f64 (/.f64 c a)))))
✓	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)))
✓	35.9%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
▶	18.6%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (neg.f64 (/.f64 c a))))
▶	18.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))

Compiler

Compiled 272 to 200 computations (26.5% saved)

series25.0ms (0.7%)

Memory

-13.1MiB live, 33.2MiB allocated; 3ms collecting garbage

Counts

25 → 129

Calls

Call 1

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

Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))))
#s(approx (+ (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 (* (neg a) c) #s(hole binary64 (* -1 (* a c))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx a #s(hole binary64 a))
#s(approx (sqrt (neg (/ c a))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (neg (/ c a)) #s(hole binary64 (* -1 (/ c a))))
#s(approx (/ c a) #s(hole binary64 (/ c a)))
#s(approx (neg (sqrt (neg (/ c a)))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (* (sqrt (neg a)) (sqrt c)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (sqrt (neg a)) #s(hole binary64 (* (sqrt a) (sqrt -1))))
#s(approx (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) #s(hole binary64 (/ (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) a)))
#s(approx (/ b_2 a) #s(hole binary64 (/ b_2 a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))))
#s(approx (sqrt (- (* 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 (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (+ (* (/ b_2 a) -1) (sqrt (neg (/ 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 (* (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 (* (sqrt (neg a)) (sqrt c)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (sqrt (neg a)) #s(hole binary64 (* -1 (* (sqrt a) (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 (+ (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 (/ (+ (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 (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) #s(hole binary64 (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -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 (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) #s(hole binary64 (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* 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 (sqrt c) #s(hole binary64 (sqrt 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 (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))))
#s(approx (sqrt (neg (/ c a))) #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 a)) (sqrt c)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))))
#s(approx (sqrt c) #s(hole binary64 (* -1 (* (sqrt c) (pow (sqrt -1) 2)))))
#s(approx (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	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)) (* (neg a) c) (neg a) a c (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (neg (/ c a))) (neg (/ c a)) (/ c a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg (sqrt (neg (/ c 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)) (sqrt c)) (sqrt (neg a)) (sqrt c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) (/ b_2 a) -1)
3.0ms	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)) (* (neg a) c) (neg a) a c (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (neg (/ c a))) (neg (/ c a)) (/ c a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg (sqrt (neg (/ c 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)) (sqrt c)) (sqrt (neg a)) (sqrt c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) (/ b_2 a) -1)
3.0ms	a	@	0	((/ (+ (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)) (* (neg a) c) (neg a) a c (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (neg (/ c a))) (neg (/ c a)) (/ c a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg (sqrt (neg (/ c 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)) (sqrt c)) (sqrt (neg a)) (sqrt c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) (/ b_2 a) -1)
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)) (* (neg a) c) (neg a) a c (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (neg (/ c a))) (neg (/ c a)) (/ c a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg (sqrt (neg (/ c 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)) (sqrt c)) (sqrt (neg a)) (sqrt c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) (/ b_2 a) -1)
2.0ms	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)) (* (neg a) c) (neg a) a c (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (neg (/ c a))) (neg (/ c a)) (/ c a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg (sqrt (neg (/ c 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)) (sqrt c)) (sqrt (neg a)) (sqrt c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) (/ b_2 a) -1)

rewrite131.0ms (3.7%)

Memory

20.6MiB live, 113.3MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	692	4756
0	716	4417
0	3736	4301

Stop Event

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

Counts

154 → 201

Calls

Call 1

Inputs
(/.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))))
(neg.f64 b_2)
b_2
(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)
a
c
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (neg.f64 (/.f64 c a))))
(sqrt.f64 (neg.f64 (/.f64 c a)))
(neg.f64 (/.f64 c a))
(/.f64 c a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
(neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a)
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c)))
(*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))
(sqrt.f64 (neg.f64 a))
(sqrt.f64 c)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (sqrt.f64 (neg.f64 (/.f64 c a)))))
(fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (sqrt.f64 (neg.f64 (/.f64 c a))))
(/.f64 b_2 a)
#s(literal -1 binary64)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1/2 (/ c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))))
#s(approx (+ (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 (* (neg a) c) #s(hole binary64 (* -1 (* a c))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx a #s(hole binary64 a))
#s(approx (sqrt (neg (/ c a))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (neg (/ c a)) #s(hole binary64 (* -1 (/ c a))))
#s(approx (/ c a) #s(hole binary64 (/ c a)))
#s(approx (neg (sqrt (neg (/ c a)))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (* (sqrt (neg a)) (sqrt c)) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (sqrt (neg a)) #s(hole binary64 (* (sqrt a) (sqrt -1))))
#s(approx (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) #s(hole binary64 (/ (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) a)))
#s(approx (/ b_2 a) #s(hole binary64 (/ b_2 a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* (sqrt (* a c)) (sqrt -1))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))))
#s(approx (sqrt (- (* 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 (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (+ (* (/ b_2 a) -1) (sqrt (neg (/ 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 (* (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 (* (sqrt (neg a)) (sqrt c)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (sqrt -1)))))
#s(approx (sqrt (neg a)) #s(hole binary64 (* -1 (* (sqrt a) (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 (+ (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 (/ (+ (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 (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) #s(hole binary64 (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -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 (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) #s(hole binary64 (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* 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 (sqrt c) #s(hole binary64 (sqrt 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 (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(hole binary64 (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))))
#s(approx (- (* b_2 b_2) (* a c)) #s(hole binary64 (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))))
#s(approx (sqrt (neg (/ c a))) #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 a)) (sqrt c)) #s(hole binary64 (* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))))
#s(approx (sqrt c) #s(hole binary64 (* -1 (* (sqrt c) (pow (sqrt -1) 2)))))
#s(approx (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))

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

eval58.0ms (1.7%)

Memory: -5.8MiB live, 39.8MiB allocated; 6ms collecting garbage
Compiler: Compiled 7 633 to 998 computations (86.9% saved)

prune29.0ms (0.8%)

Memory

-24.6MiB live, 22.3MiB allocated; 1ms collecting garbage

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	251	2	253
Fresh	0	0	0
Picked	1	4	5
Done	0	4	4
Total	252	10	262

Accuracy

99.8%

Counts

262 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	34.4%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
✓	17.1%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a)
✓	31.7%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
▶	19.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 c (neg.f64 a)))))
✓	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)))
✓	35.9%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
✓	18.6%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (neg.f64 (/.f64 c a))))
✓	18.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
▶	14.1%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) (/.f64 (neg.f64 b_2) a)))

Compiler

Compiled 201 to 147 computations (26.9% saved)

series12.0ms (0.3%)

Memory

14.7MiB live, 14.7MiB allocated; 0ms collecting garbage

Counts

12 → 57

Calls

Call 1

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

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 (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) #s(hole binary64 (/ (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) a)))
#s(approx (/ (neg b_2) a) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (/ (neg b_2) a) (sqrt (/ c (neg a)))) #s(hole binary64 (/ (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) a)))
#s(approx (sqrt (/ c (neg a))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (/ c (neg a)) #s(hole binary64 (* -1 (/ c a))))
#s(approx (neg a) #s(hole binary64 (* -1 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 (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) #s(hole binary64 (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (/ (neg b_2) a) (sqrt (/ c (neg a)))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (+ (/ (neg b_2) a) (sqrt (/ c (neg 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 (* (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)))) 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) #s(hole binary64 (* -1 b_2)))
#s(approx b_2 #s(hole binary64 b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)))
#s(approx (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) #s(hole binary64 (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))))
#s(approx (+ (/ (neg b_2) a) (sqrt (/ c (neg a)))) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx (+ (/ (neg b_2) a) (sqrt (/ c (neg a)))) #s(hole binary64 (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -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 (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) #s(hole binary64 (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))))
#s(approx (+ (/ (neg b_2) a) (sqrt (/ c (neg a)))) #s(hole binary64 (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))))
#s(approx c #s(hole binary64 c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) 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 (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (+ (/ (neg b_2) a) (sqrt (/ c (neg a)))) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))
#s(approx (+ (/ (neg b_2) a) (sqrt (/ c (neg a)))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (/ (neg b_2) a) (sqrt (/ c (neg a)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))
#s(approx (sqrt (/ c (neg a))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) (/ (neg b_2) a) (neg b_2) b_2 a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (/ (neg b_2) a) (sqrt (/ c (neg a)))) (sqrt (/ c (neg a))) (/ c (neg a)) c (neg a))
1.0ms	a	@	0	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) (/ (neg b_2) a) (neg b_2) b_2 a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (/ (neg b_2) a) (sqrt (/ c (neg a)))) (sqrt (/ c (neg a))) (/ c (neg a)) c (neg a))
1.0ms	c	@	inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) (/ (neg b_2) a) (neg b_2) b_2 a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (/ (neg b_2) a) (sqrt (/ c (neg a)))) (sqrt (/ c (neg a))) (/ c (neg a)) c (neg a))
1.0ms	b_2	@	inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) (/ (neg b_2) a) (neg b_2) b_2 a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (/ (neg b_2) a) (sqrt (/ c (neg a)))) (sqrt (/ c (neg a))) (/ c (neg a)) c (neg a))
1.0ms	b_2	@	-inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) (/ (neg b_2) a) (neg b_2) b_2 a (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (/ (neg b_2) a) (sqrt (/ c (neg a)))) (sqrt (/ c (neg a))) (/ c (neg a)) c (neg a))

rewrite83.0ms (2.4%)

Memory

6.5MiB live, 56.8MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	347	1976
0	356	1810
0	1854	1776

Stop Event

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

Counts

69 → 95

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) (/.f64 (neg.f64 b_2) a)))
#s(approx (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) (/.f64 (neg.f64 b_2) a))
(/.f64 (neg.f64 b_2) a)
(neg.f64 b_2)
b_2
a
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 c (neg.f64 a)))))
(+.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 c (neg.f64 a))))
(sqrt.f64 (/.f64 c (neg.f64 a)))
(/.f64 c (neg.f64 a))
c
(neg.f64 a)
#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 (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) #s(hole binary64 (/ (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) a)))
#s(approx (/ (neg b_2) a) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx a #s(hole binary64 a))
#s(approx (+ (/ (neg b_2) a) (sqrt (/ c (neg a)))) #s(hole binary64 (/ (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) a)))
#s(approx (sqrt (/ c (neg a))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (/ c (neg a)) #s(hole binary64 (* -1 (/ c a))))
#s(approx (neg a) #s(hole binary64 (* -1 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 (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) #s(hole binary64 (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (/ (neg b_2) a) (sqrt (/ c (neg a)))) #s(hole binary64 (* (sqrt (/ c a)) (sqrt -1))))
#s(approx (+ (/ (neg b_2) a) (sqrt (/ c (neg 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 (* (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)))) 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) #s(hole binary64 (* -1 b_2)))
#s(approx b_2 #s(hole binary64 b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)))
#s(approx (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) #s(hole binary64 (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))))
#s(approx (+ (/ (neg b_2) a) (sqrt (/ c (neg a)))) #s(hole binary64 (* -1 (/ b_2 a))))
#s(approx (+ (/ (neg b_2) a) (sqrt (/ c (neg a)))) #s(hole binary64 (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -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 (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) #s(hole binary64 (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))))
#s(approx (+ (/ (neg b_2) a) (sqrt (/ c (neg a)))) #s(hole binary64 (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))))
#s(approx c #s(hole binary64 c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) 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 (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (+ (/ (neg b_2) a) (sqrt (/ c (neg a)))) #s(hole binary64 (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(hole binary64 (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
#s(approx (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))
#s(approx (+ (/ (neg b_2) a) (sqrt (/ c (neg a)))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))
#s(approx (+ (/ (neg b_2) a) (sqrt (/ c (neg a)))) #s(hole binary64 (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))))
#s(approx (sqrt (/ c (neg a))) #s(hole binary64 (* -1 (* (sqrt (/ c a)) (sqrt -1)))))

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

eval10.0ms (0.3%)

Memory: 13.2MiB live, 13.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 3 237 to 449 computations (86.1% saved)

prune15.0ms (0.4%)

Memory

-31.5MiB live, 14.7MiB allocated; 3ms collecting garbage

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	0	0
Picked	0	2	2
Done	0	8	8
Total	100	10	110

Accuracy

99.8%

Counts

110 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	34.4%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
✓	17.1%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a)
✓	31.7%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt.f64 (*.f64 (neg.f64 a) c))) a)
✓	19.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (/.f64 c (neg.f64 a)))))
✓	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)))
✓	35.9%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
✓	18.6%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (neg.f64 (/.f64 c a))))
✓	18.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a)))))
✓	14.1%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) (/.f64 (neg.f64 b_2) a)))

Compiler

Compiled 492 to 216 computations (56.1% saved)

regimes18.0ms (0.5%)

Memory

22.1MiB live, 22.1MiB allocated; 0ms collecting garbage

Counts

14 → 3

Calls

Call 1

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

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

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

Calls

4 calls:

4.0ms	c
4.0ms	b_2
4.0ms	a
4.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
79.1%	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
55.7%	2	`a`
90.7%	3	`b_2`
56.7%	3	`c`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes4.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated; 0ms collecting garbage

Counts

11 → 3

Calls

Call 1

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

Calls

1 calls:

4.0ms

b_2

Results

Accuracy	Segments	Branch
87.2%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes3.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated; 0ms collecting garbage

Counts

8 → 3

Calls

Call 1

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

Outputs

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

Calls

1 calls:

3.0ms

b_2

Results

Accuracy	Segments	Branch
87.0%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes3.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB allocated; 0ms collecting garbage

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

b_2

Results

Accuracy	Segments	Branch
76.1%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes20.0ms (0.6%)

Memory

-40.5MiB live, 5.8MiB allocated; 2ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

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

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

Calls

2 calls:

17.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
2.0ms	b_2

Results

Accuracy	Segments	Branch
58.2%	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
74.3%	3	`b_2`

Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes2.0ms (0.1%)

Memory

3.2MiB live, 3.2MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) (/.f64 (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
69.4%	2	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.2%)

Memory

9.4MiB live, 9.4MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) (/.f64 (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	b_2
1.0ms	c
1.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
35.9%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
35.9%	1	`c`
35.9%	1	`a`
35.9%	1	`b_2`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes4.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
14.1%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
14.1%	1	`b_2`
14.1%	1	`a`
14.1%	1	`c`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch44.0ms (1.3%)

Memory

-17.1MiB live, 28.8MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
26.0ms	5.270477014101604e-18	5.382912112811664e-5
2.0ms	-2.9429472635905305e+136	-9.067880699358169e+133

Samples

7.0ms	33×	2	valid
7.0ms	98×	0	valid
6.0ms	44×	1	valid
1.0ms	12×	0	invalid
0.0ms	1×	3	valid

Compiler

Compiled 368 to 302 computations (17.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

adjust: 3.0ms (20.7% of total)

ival-mult: 3.0ms (20.7% of total)

ival-div: 2.0ms (13.8% of total)

ival-sqrt: 2.0ms (13.8% of total)

ival-sub: 1.0ms (6.9% of total)

ival-add: 1.0ms (6.9% of total)

ival-neg: 1.0ms (6.9% of total)

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

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

bsearch19.0ms (0.6%)

Memory

18.0MiB live, 18.0MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.270477014101604e-18	5.382912112811664e-5
16.0ms	-3.886940092877283e-95	-3.43427282953025e-98

Samples

9.0ms	128×	0	valid
2.0ms	25×	0	invalid

Compiler

Compiled 682 to 538 computations (21.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 2.0ms (31.6% of total)

ival-div: 1.0ms (15.8% of total)

ival-add: 1.0ms (15.8% of total)

ival-sub: 1.0ms (15.8% of total)

ival-sqrt: 1.0ms (15.8% of total)

ival-neg: 1.0ms (15.8% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch25.0ms (0.7%)

Memory

23.1MiB live, 23.1MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	5.270477014101604e-18	5.382912112811664e-5
11.0ms	-3.886940092877283e-95	-3.43427282953025e-98

Samples

8.0ms	111×	0	valid
3.0ms	19×	1	valid
3.0ms	13×	2	valid
2.0ms	26×	0	invalid
0.0ms	1×	3	valid

Compiler

Compiled 700 to 556 computations (20.6% saved)

Precisions

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

ival-mult: 3.0ms (30.5% of total)

adjust: 1.0ms (10.2% of total)

ival-div: 1.0ms (10.2% of total)

ival-sub: 1.0ms (10.2% of total)

ival-sqrt: 1.0ms (10.2% of total)

ival-add: 1.0ms (10.2% of total)

ival-neg: 1.0ms (10.2% of total)

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

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

bsearch41.0ms (1.2%)

Memory

-14.4MiB live, 33.3MiB allocated; 9ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	2.753825535957117e-114	5.057009291507511e-112
18.0ms	-3.886940092877283e-95	-3.43427282953025e-98

Samples

17.0ms	182×	0	valid
4.0ms	57×	0	invalid
3.0ms	14×	2	valid
2.0ms	12×	1	valid

Compiler

Compiled 601 to 481 computations (20% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-add: 6.0ms (33.5% of total)

ival-mult: 4.0ms (22.3% of total)

ival-div: 2.0ms (11.2% of total)

ival-sqrt: 2.0ms (11.2% of total)

adjust: 1.0ms (5.6% of total)

ival-sub: 1.0ms (5.6% of total)

ival-neg: 1.0ms (5.6% of total)

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

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

bsearch58.0ms (1.7%)

Memory

-7.7MiB live, 37.8MiB allocated; 5ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
38.0ms	1.0808947890079764e-197	1.277659285052089e-193
15.0ms	-1.3751538753856093e-104	-4.508421756189538e-107

Samples

16.0ms	236×	0	valid
5.0ms	75×	0	invalid
3.0ms	20×	1	valid

Compiler

Compiled 624 to 496 computations (20.5% saved)

Precisions

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

ival-mult: 5.0ms (33.3% of total)

ival-div: 2.0ms (13.3% of total)

ival-add: 2.0ms (13.3% of total)

ival-sub: 2.0ms (13.3% of total)

ival-sqrt: 2.0ms (13.3% of total)

ival-neg: 2.0ms (13.3% of total)

adjust: 1.0ms (6.7% of total)

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

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

bsearch19.0ms (0.5%)

Memory

19.1MiB live, 19.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	5.1432605258155804e-266	3.687336708822709e-264

Samples

7.0ms	110×	0	valid
3.0ms	41×	0	invalid
0.0ms	2×	1	valid

Compiler

Compiled 282 to 226 computations (19.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 2.0ms (30.7% of total)

ival-div: 1.0ms (15.4% of total)

ival-add: 1.0ms (15.4% of total)

ival-sub: 1.0ms (15.4% of total)

ival-sqrt: 1.0ms (15.4% of total)

ival-neg: 1.0ms (15.4% of total)

adjust: 0.0ms (0% of total)

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

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

simplify62.0ms (1.8%)

Memory

-13.0MiB live, 77.5MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	410
1	119	409
2	169	409
3	245	391
4	357	391
5	563	391
6	1416	391
7	1444	391
8	1489	391
9	1685	391
10	3460	391

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -20000000000000001173281225401480239510924085727794608776187427091019642704107631219009550715922787179608060751714014998753604207233728512 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 3713820117856141/4951760157141521099596496896 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 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -2855827780652981/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232 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 3713820117856141/4951760157141521099596496896 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 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -8717790067256469/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856 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 4555619344570199/9903520314283042199192993792 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 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -14091255496643/4697085165547666455778961193578674054751365097816639741414581943064418050229216886927397996769537406063869952 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 3574144527577613/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -6584737189121617/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376 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 3024578143390315/2630067950774186753620494941440064332775169901411586929749140451534366077148540411056833268138794225613491484428089108856509716125091901931563907385325940424977611835564222299095831878942161358635646625867890688 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (sqrt.f64 (neg.f64 (/.f64 c a)))) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal 3775628869181871/72608247484266751113186645417475613287659189534150120071082610318161164900410369802010171606257634306142515810068016262229227795192622349013224149467890362587059123068723626657357734855190319183117148231560128769827526792328021488679545846696711820459572514914753120743347917422592 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)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) (/.f64 (neg.f64 b_2) a)))

Outputs
(if (<=.f64 b_2 #s(literal -20000000000000001173281225401480239510924085727794608776187427091019642704107631219009550715922787179608060751714014998753604207233728512 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 3713820117856141/4951760157141521099596496896 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 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -2855827780652981/75153362648762663292463379097258784876021841565066235862633311089030688803667470190838367948312598497021919232 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 3713820117856141/4951760157141521099596496896 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 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -8717790067256469/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856 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 4555619344570199/9903520314283042199192993792 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 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -14091255496643/4697085165547666455778961193578674054751365097816639741414581943064418050229216886927397996769537406063869952 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 3574144527577613/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (neg.f64 (/.f64 c a))))) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -14091255496643/4697085165547666455778961193578674054751365097816639741414581943064418050229216886927397996769537406063869952 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 3574144527577613/21661481985318866090456360813617841433097164651373566993519371723551728967231450179999800047688590453885868835635965404913860608 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (neg.f64 (sqrt.f64 (/.f64 c (neg.f64 a))))) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -6584737189121617/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376 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 3024578143390315/2630067950774186753620494941440064332775169901411586929749140451534366077148540411056833268138794225613491484428089108856509716125091901931563907385325940424977611835564222299095831878942161358635646625867890688 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (sqrt.f64 (neg.f64 (/.f64 c a)))) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -6584737189121617/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376 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 3024578143390315/2630067950774186753620494941440064332775169901411586929749140451534366077148540411056833268138794225613491484428089108856509716125091901931563907385325940424977611835564222299095831878942161358635646625867890688 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (sqrt.f64 (/.f64 c (neg.f64 a)))) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal 3775628869181871/72608247484266751113186645417475613287659189534150120071082610318161164900410369802010171606257634306142515810068016262229227795192622349013224149467890362587059123068723626657357734855190319183117148231560128769827526792328021488679545846696711820459572514914753120743347917422592 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)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ b_2 a) -1) (sqrt (neg (/ c a)))) (/.f64 (neg.f64 b_2) a)))

derivations80.0ms (2.3%)

Memory

-14.1MiB live, 80.7MiB allocated; 12ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 410 to 80 computations (80.5% saved)

preprocess59.0ms (1.7%)

Memory: 5.8MiB live, 97.6MiB allocated; 10ms collecting garbage
Compiler: Compiled 1 024 to 232 computations (77.3% saved)

end0.0ms (0%)

Memory: 0.0MiB 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%)

analyze145.0ms (4.1%)

sample2.0s (57.2%)

explain161.0ms (4.6%)

preprocess21.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

series28.0ms (0.8%)

rewrite127.0ms (3.6%)

eval21.0ms (0.6%)

prune9.0ms (0.2%)

series32.0ms (0.9%)

rewrite99.0ms (2.8%)

eval18.0ms (0.5%)

prune10.0ms (0.3%)

series25.0ms (0.7%)

rewrite131.0ms (3.7%)

eval58.0ms (1.7%)

prune29.0ms (0.8%)

series12.0ms (0.3%)

rewrite83.0ms (2.4%)

eval10.0ms (0.3%)

prune15.0ms (0.4%)

regimes18.0ms (0.5%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

regimes20.0ms (0.6%)

regimes2.0ms (0.1%)

regimes6.0ms (0.2%)

regimes4.0ms (0.1%)

bsearch44.0ms (1.3%)

bsearch19.0ms (0.6%)

bsearch25.0ms (0.7%)

bsearch41.0ms (1.2%)

bsearch58.0ms (1.7%)

bsearch19.0ms (0.5%)

simplify62.0ms (1.8%)

derivations80.0ms (2.3%)

preprocess59.0ms (1.7%)

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