Metrics for quad2m (problem 3.2.1, negative)

start0.0ms (0%)

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

analyze139.0ms (5.6%)

Memory

17.5MiB live, 108.6MiB allocated; 25ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	5
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	6
42.6%	40.6%	54.6%	0.1%	0%	4.7%	0%	7
51.2%	48.4%	46%	0.1%	0%	5.5%	0%	8
54.5%	49.9%	41.7%	0.1%	0%	8.2%	0%	9
60.2%	53.4%	35.3%	0.1%	0%	11.1%	0%	10
67.6%	58.7%	28.2%	0.1%	0%	13%	0%	11
71.4%	60.6%	24.2%	0.1%	0%	15.1%	0%	12

Compiler

Compiled 15 to 12 computations (20% saved)

sample1.5s (58.2%)

Memory

15.6MiB live, 1 210.6MiB allocated; 248ms collecting garbage

Samples

476.0ms	5 544×	0	valid
262.0ms	1 198×	2	valid
201.0ms	1 333×	1	valid
103.0ms	1 097×	0	invalid
51.0ms	181×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 704.0ms

ival-mult: 173.0ms (24.6% of total)

ival-sub: 136.0ms (19.3% of total)

adjust: 136.0ms (19.3% of total)

ival-sqrt: 112.0ms (15.9% of total)

ival-div: 93.0ms (13.2% of total)

ival-neg: 50.0ms (7.1% of total)

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

Bogosity

explain143.0ms (5.7%)

Memory

-23.7MiB live, 123.2MiB allocated; 15ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
101	-	1	(-4.163462156736775e-77 1.8788780207478133e-221 4.930338700397952e-247)	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
54	-	0	-	`(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
14	-	1	(-6.643066419018454e-272 -1.4016285560129446e+69 -8.988349555654291e+29)	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
3	-	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	96	0
↳	`(*.f64 b_2 b_2)`	overflow	78
↳	`(*.f64 a c)`	overflow	28
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	overflow	96
`-.f64`	`(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	cancellation	54	0
`/.f64`	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`	u/n	13	0
↳	`(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	underflow	22
↳	`(*.f64 b_2 b_2)`	underflow	51
↳	`(*.f64 a c)`	underflow	31
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	4
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	uflow-rescue	4	0
↳	`(*.f64 b_2 b_2)`	underflow	51
↳	`(*.f64 a c)`	underflow	31
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	4
`-.f64`	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	nan-rescue	3	0
↳	`(*.f64 b_2 b_2)`	overflow	78
↳	`(*.f64 a c)`	overflow	28

Confusion

	Predicted +	Predicted -
+	118	1
-	18	119

Precision

0.8676470588235294

Recall

0.9915966386554622

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	118	0	1
-	18	0	119

Precision?

0.8676470588235294

Recall?

0.9915966386554622

Freqs

test

number	freq
0	120
1	103
2	32
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms	360×	0	valid
23.0ms	90×	2	valid
9.0ms	58×	1	valid
1.0ms	4×	3	valid

Compiler

Compiled 117 to 34 computations (70.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-div: 13.0ms (28% of total)

ival-mult: 9.0ms (19.4% of total)

ival-sqrt: 8.0ms (17.3% of total)

ival-sub: 7.0ms (15.1% of total)

adjust: 7.0ms (15.1% of total)

ival-neg: 2.0ms (4.3% of total)

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

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

preprocess20.0ms (0.8%)

Memory

16.4MiB live, 16.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	131
1	119	131
2	214	131
3	346	131
4	449	131
5	484	131
6	505	131
0	10	13
0	17	13
1	27	13
2	51	13
3	96	13
4	131	13
5	138	13
6	146	13
7	154	13
0	154	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 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 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

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.1%	(/.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)

series25.0ms (1%)

Memory

20.6MiB live, 20.6MiB allocated; 0ms collecting garbage

Counts

10 → 105

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

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	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)
3.0ms	a	@	inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) b_2 (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* b_2 b_2) (* a c) a c)
3.0ms	b_2	@	inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) b_2 (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* b_2 b_2) (* a c) a c)
3.0ms	a	@	-inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) b_2 (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* b_2 b_2) (* a c) a c)
3.0ms	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)

rewrite140.0ms (5.6%)

Memory

1.5MiB live, 91.5MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	646	4062
0	657	3834
0	3704	3730

Stop Event

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

Counts

115 → 141

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

Outputs
(/.f64 (neg.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))))) (neg.f64 a))
(/.f64 (-.f64 (neg.f64 b_2) (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))))) (fma.f64 #s(literal -1 binary64) 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 (fma.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 (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 b_2 a) #s(literal -2 binary64)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 (.f64 c a) b_2) #s(literal 1/2 binary64) (.f64 #s(literal -2 binary64) b_2)) a))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 c c) a)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 #s(literal -2 binary64) b_2)) a))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1/8 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b_2 #s(literal 5 binary64)))) a (.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a (*.f64 #s(literal -2 binary64) b_2)) a))
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (fma.f64 (/.f64 (.f64 c a) b_2) #s(literal 1/2 binary64) (.f64 #s(literal -2 binary64) b_2)))
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (fma.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 c c) a)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 #s(literal -2 binary64) b_2)))
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1/8 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b_2 #s(literal 5 binary64)))) a (.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a (*.f64 #s(literal -2 binary64) b_2)))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) b_2)
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 c a) b_2) b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) 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) (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 (sqrt.f64 (.f64 (/.f64 c a) #s(literal -1 binary64))) #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) (/.f64 (neg.f64 b_2) a))))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.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) (.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)))))))
#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 (-.f64 (/.f64 (neg.f64 b_2) a) (sqrt.f64 (.f64 (/.f64 c a) #s(literal -1 binary64)))) a))
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a))) a))
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (-.f64 (.f64 (.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/8 binary64)) (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))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))) a))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (sqrt.f64 (*.f64 (neg.f64 a) c)))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (fma.f64 (.f64 #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) (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 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.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) (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) (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 (neg.f64 a) (-.f64 (/.f64 b_2 a) (sqrt.f64 (.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 a) (-.f64 (neg.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 c a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2))) b_2) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 a) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (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 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 a c)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2))))) a)) b_2) a)) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (neg.f64 (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (neg.f64 a) (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 (pow.f64 b_2 #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 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 (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 (.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 (neg.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))))
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (-.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 c a)))) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1 binary64)) b_2) (sqrt.f64 (*.f64 (neg.f64 a) c))))
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (-.f64 (.f64 (-.f64 (.f64 (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 #s(literal -1/2 binary64) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 c a)))))) 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 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 c a)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (.f64 b_2 b_2) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64))))) (.f64 b_2 b_2) (sqrt.f64 (.f64 (neg.f64 a) c))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 c a)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 (pow.f64 (.f64 c a) #s(literal 5 binary64)) #s(literal -1 binary64)))) (/.f64 (.f64 b_2 b_2) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -3 binary64)))) (.f64 b_2 b_2))) (.f64 b_2 b_2) (sqrt.f64 (.f64 (neg.f64 a) c))))
#s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))
#s(approx (* b_2 b_2) (*.f64 b_2 b_2))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (-.f64 (.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) a)) b_2))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (-.f64 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1/8 binary64) (.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) a)) b_2))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (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 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1/8 binary64) (.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal 1/2 binary64))) (/.f64 #s(literal 2 binary64) a))) b_2))
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (-.f64 (.f64 (.f64 a (/.f64 c (.f64 b_2 b_2))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) b_2))
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 (.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 2 binary64))) b_2))
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) (+.f64 (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))))) 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 -1/2 binary64) (/.f64 c b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (.f64 b_2 b_2)) #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) c)) b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (/.f64 (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) (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) (neg.f64 (/.f64 (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) (fma.f64 #s(literal 1/2 binary64) (+.f64 c (/.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)))) (/.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 #s(literal -1/2 binary64) (/.f64 (.f64 c a) b_2)))
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (.f64 b_2 b_2)) #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (.f64 c a))) b_2)))
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 4 binary64))) (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)))) (neg.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) #s(literal 5/64 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) (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 (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) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (fma.f64 (.f64 a (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) b_2)) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (fma.f64 (fma.f64 (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1/8 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 a a) c)) (pow.f64 b_2 #s(literal 5 binary64)))) c (/.f64 #s(literal 1/2 binary64) b_2)) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
#s(approx (- (neg b_2) (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 #s(literal 1/2 binary64) (/.f64 a b_2))) c (.f64 #s(literal -2 binary64) b_2)))
#s(approx (- (neg b_2) (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 #s(literal 1/8 binary64) (/.f64 (.f64 a a) (pow.f64 b_2 #s(literal 3 binary64))))) c (.f64 #s(literal 1/2 binary64) (/.f64 a b_2))) c (*.f64 #s(literal -2 binary64) b_2)))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (fma.f64 (/.f64 a b_2) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (*.f64 a a) c)) (pow.f64 b_2 #s(literal 3 binary64)))) c b_2))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 a a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b_2 #s(literal 5 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 (sqrt.f64 (.f64 (pow.f64 (.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 (neg.f64 b_2) (.f64 c a))) c))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (fma.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64) (fma.f64 (.f64 (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)))) #s(literal -1/2 binary64) (/.f64 (neg.f64 b_2) (*.f64 c a)))) c))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 b_2 a) c)) (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))) (.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)))))) c))
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (-.f64 (/.f64 (neg.f64 b_2) c) (sqrt.f64 (.f64 (/.f64 a c) #s(literal -1 binary64)))) c))
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -1 binary64)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (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)))) (.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)))) #s(literal 1/8 binary64)) (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))) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #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 (sqrt.f64 (.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 (/.f64 b_2 a) c))))
#s(approx (/ (- (neg b_2) (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) (neg.f64 (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) (neg.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))))))
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) (-.f64 (/.f64 b_2 c) (sqrt.f64 (.f64 (/.f64 a c) #s(literal -1 binary64))))))
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) (-.f64 (neg.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 c a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2))) b_2) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))))))
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 c) (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (pow.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) c) #s(literal -1 binary64)))) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 c a))))) c)) b_2) c)) (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))))))
#s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (neg.f64 c) (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 (pow.f64 b_2 #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 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 (0.8%)

Memory: -28.7MiB live, 19.9MiB allocated; 8ms collecting garbage
Compiler: Compiled 4 705 to 835 computations (82.3% saved)

prune41.0ms (1.6%)

Memory

33.1MiB live, 33.1MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	140	6	146
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	140	7	147

Accuracy

99.8%

Counts

147 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.1%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	31.3%	(/.f64 (-.f64 (neg.f64 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))) a)
	20.4%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (-.f64 (/.f64 (neg.f64 b_2) c) (sqrt.f64 (.f64 (/.f64 a c) #s(literal -1 binary64)))) c)) a)
	24.4%	#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)))
▶	35.9%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 (/.f64 b_2 a) c))))
	31.8%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
	16.9%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))))

Compiler

Compiled 313 to 220 computations (29.7% saved)

series28.0ms (1.1%)

Memory

-23.3MiB live, 23.0MiB allocated; 2ms collecting garbage

Counts

14 → 56

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	a	@	0	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg c) (+ (* (sqrt (* (pow (* c a) -1) -1)) -1) (/ (/ b_2 a) c))) (neg c) c (+ (* (sqrt (* (pow (* c a) -1) -1)) -1) (/ (/ b_2 a) c)) (sqrt (* (pow (* c a) -1) -1)) (* (pow (* c a) -1) -1) (pow (* c a) -1) (* c a) a -1 (/ (/ b_2 a) c) (/ b_2 a) b_2)
3.0ms	c	@	0	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg c) (+ (* (sqrt (* (pow (* c a) -1) -1)) -1) (/ (/ b_2 a) c))) (neg c) c (+ (* (sqrt (* (pow (* c a) -1) -1)) -1) (/ (/ b_2 a) c)) (sqrt (* (pow (* c a) -1) -1)) (* (pow (* c a) -1) -1) (pow (* c a) -1) (* c a) a -1 (/ (/ b_2 a) c) (/ b_2 a) b_2)
2.0ms	b_2	@	-inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg c) (+ (* (sqrt (* (pow (* c a) -1) -1)) -1) (/ (/ b_2 a) c))) (neg c) c (+ (* (sqrt (* (pow (* c a) -1) -1)) -1) (/ (/ b_2 a) c)) (sqrt (* (pow (* c a) -1) -1)) (* (pow (* c a) -1) -1) (pow (* c a) -1) (* c a) a -1 (/ (/ b_2 a) c) (/ b_2 a) b_2)
2.0ms	a	@	-inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg c) (+ (* (sqrt (* (pow (* c a) -1) -1)) -1) (/ (/ b_2 a) c))) (neg c) c (+ (* (sqrt (* (pow (* c a) -1) -1)) -1) (/ (/ b_2 a) c)) (sqrt (* (pow (* c a) -1) -1)) (* (pow (* c a) -1) -1) (pow (* c a) -1) (* c a) a -1 (/ (/ b_2 a) c) (/ b_2 a) b_2)
2.0ms	a	@	inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg c) (+ (* (sqrt (* (pow (* c a) -1) -1)) -1) (/ (/ b_2 a) c))) (neg c) c (+ (* (sqrt (* (pow (* c a) -1) -1)) -1) (/ (/ b_2 a) c)) (sqrt (* (pow (* c a) -1) -1)) (* (pow (* c a) -1) -1) (pow (* c a) -1) (* c a) a -1 (/ (/ b_2 a) c) (/ b_2 a) b_2)

rewrite76.0ms (3.1%)

Memory

2.4MiB live, 47.1MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	348	2023
0	363	1908
0	1885	1875

Stop Event

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

Counts

70 → 101

Calls

Call 1

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

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

eval11.0ms (0.5%)

Memory: 13.0MiB live, 13.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 106 to 524 computations (87.2% saved)

prune36.0ms (1.4%)

Memory

-15.3MiB live, 30.6MiB allocated; 3ms collecting garbage

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	106	9	115

Accuracy

99.8%

Counts

115 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.1%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	31.3%	(/.f64 (-.f64 (neg.f64 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))) a)
	20.4%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (-.f64 (/.f64 (neg.f64 b_2) c) (sqrt.f64 (.f64 (/.f64 a c) #s(literal -1 binary64)))) c)) a)
	24.4%	#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)))
✓	35.9%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 (/.f64 b_2 a) c))))
	24.0%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 c) (/.f64 (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 b_2 a) c) #s(literal 3 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))) (-.f64 (.f64 (/.f64 (/.f64 b_2 a) c) (/.f64 (/.f64 b_2 a) c)) (.f64 (neg.f64 (sqrt.f64 (.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))) (/.f64 (/.f64 b_2 a) c)))))))
	24.0%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 c) #s(approx (+ ( (sqrt (* (pow (* c a) -1) -1)) -1) (/ (/ b_2 a) c)) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 b_2 c)) a))))
▶	31.8%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
	19.4%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg c) (+ (* (sqrt (* (pow (* c a) -1) -1)) -1) (/ (/ b_2 a) c))) (neg.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 b_2 a)))))

Compiler

Compiled 593 to 349 computations (41.1% saved)

series7.0ms (0.3%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Counts

6 → 34

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	c	@	-inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (/ c b_2)) -1/2 (/ c b_2) c b_2)
1.0ms	c	@	inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (/ c b_2)) -1/2 (/ c b_2) c b_2)
1.0ms	b_2	@	-inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (/ c b_2)) -1/2 (/ c b_2) c b_2)
1.0ms	b_2	@	inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (/ c b_2)) -1/2 (/ c b_2) c b_2)
1.0ms	c	@	0	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (/ c b_2)) -1/2 (/ c b_2) c b_2)

rewrite84.0ms (3.4%)

Memory

-15.1MiB live, 38.3MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	280	1372
0	282	1290
0	1582	1257

Stop Event

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

Counts

40 → 43

Calls

Call 1

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

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

eval6.0ms (0.2%)

Memory: 6.1MiB live, 6.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 447 to 268 computations (81.5% saved)

prune9.0ms (0.4%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	42	9	51

Accuracy

99.8%

Counts

51 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.1%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
▶	31.3%	(/.f64 (-.f64 (neg.f64 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))) a)
	20.4%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (-.f64 (/.f64 (neg.f64 b_2) c) (sqrt.f64 (.f64 (/.f64 a c) #s(literal -1 binary64)))) c)) a)
	24.4%	#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)))
✓	35.9%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 (/.f64 b_2 a) c))))
	24.0%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 c) (/.f64 (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 b_2 a) c) #s(literal 3 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))) (-.f64 (.f64 (/.f64 (/.f64 b_2 a) c) (/.f64 (/.f64 b_2 a) c)) (.f64 (neg.f64 (sqrt.f64 (.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))) (/.f64 (/.f64 b_2 a) c)))))))
	24.0%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 c) #s(approx (+ ( (sqrt (* (pow (* c a) -1) -1)) -1) (/ (/ b_2 a) c)) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 b_2 c)) a))))
✓	31.8%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
	19.4%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg c) (+ (* (sqrt (* (pow (* c a) -1) -1)) -1) (/ (/ b_2 a) c))) (neg.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 b_2 a)))))

Compiler

Compiled 574 to 335 computations (41.6% saved)

series26.0ms (1%)

Memory

-26.2MiB live, 20.0MiB allocated; 5ms collecting garbage

Counts

14 → 115

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	b_2	@	-inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) b_2 (sqrt (- (* b_2 b_2) (* a c))) (* (+ (* (* a (/ c (* b_2 b_2))) -1/2) 1) b_2) (+ (* (* a (/ c (* b_2 b_2))) -1/2) 1) (* a (/ c (* b_2 b_2))) a (/ c (* b_2 b_2)) c (* b_2 b_2) -1/2 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))) (* (+ (* (* a (/ c (* b_2 b_2))) -1/2) 1) b_2) (+ (* (* a (/ c (* b_2 b_2))) -1/2) 1) (* a (/ c (* b_2 b_2))) a (/ c (* b_2 b_2)) c (* b_2 b_2) -1/2 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))) (* (+ (* (* a (/ c (* b_2 b_2))) -1/2) 1) b_2) (+ (* (* a (/ c (* b_2 b_2))) -1/2) 1) (* a (/ c (* b_2 b_2))) a (/ c (* b_2 b_2)) c (* b_2 b_2) -1/2 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))) (* (+ (* (* a (/ c (* b_2 b_2))) -1/2) 1) b_2) (+ (* (* a (/ c (* b_2 b_2))) -1/2) 1) (* a (/ c (* b_2 b_2))) a (/ c (* b_2 b_2)) c (* b_2 b_2) -1/2 1)
2.0ms	b_2	@	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))) (* (+ (* (* a (/ c (* b_2 b_2))) -1/2) 1) b_2) (+ (* (* a (/ c (* b_2 b_2))) -1/2) 1) (* a (/ c (* b_2 b_2))) a (/ c (* b_2 b_2)) c (* b_2 b_2) -1/2 1)

rewrite133.0ms (5.3%)

Memory

41.4MiB live, 86.1MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	673	4403
0	685	4180
0	3837	4073

Stop Event

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

Counts

129 → 159

Calls

Call 1

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

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

eval23.0ms (0.9%)

Memory: -22.5MiB live, 22.9MiB allocated; 3ms collecting garbage
Compiler: Compiled 6 225 to 999 computations (84% saved)

prune62.0ms (2.5%)

Memory

-2.2MiB live, 48.0MiB allocated; 7ms collecting garbage

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	166	9	175

Accuracy

99.8%

Counts

175 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.1%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	31.3%	(/.f64 (-.f64 (neg.f64 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))) a)
	20.4%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (-.f64 (/.f64 (neg.f64 b_2) c) (sqrt.f64 (.f64 (/.f64 a c) #s(literal -1 binary64)))) c)) a)
	24.4%	#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)))
✓	35.9%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 (/.f64 b_2 a) c))))
	24.0%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 c) (/.f64 (+.f64 (pow.f64 (neg.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 b_2 a) c) #s(literal 3 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (.f64 (pow.f64 (.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))) (-.f64 (.f64 (/.f64 (/.f64 b_2 a) c) (/.f64 (/.f64 b_2 a) c)) (.f64 (neg.f64 (sqrt.f64 (.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64)))) (/.f64 (/.f64 b_2 a) c)))))))
	24.0%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 c) #s(approx (+ ( (sqrt (* (pow (* c a) -1) -1)) -1) (/ (/ b_2 a) c)) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 a c) #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 b_2 c)) a))))
✓	31.8%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
	19.4%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg c) (+ (* (sqrt (* (pow (* c a) -1) -1)) -1) (/ (/ b_2 a) c))) (neg.f64 (fma.f64 (sqrt.f64 (*.f64 (/.f64 c a) #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 b_2 a)))))

Compiler

Compiled 658 to 395 computations (40% saved)

derivations0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 13 to 10 computations (23.1% saved)

preprocess11.0ms (0.4%)

Memory: 12.8MiB live, 12.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 52 to 40 computations (23.1% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	48	131
1	119	131
2	214	131
3	346	131
4	449	131
5	484	131
6	505	131
0	10	13
0	17	13
1	27	13
2	51	13
3	96	13
4	131	13
5	138	13
6	146	13
7	154	13
0	154	13

Iter	Nodes	Cost
0	48	131
1	119	131
2	214	131
3	346	131
4	449	131
5	484	131
6	505	131
0	10	13
0	17	13
1	27	13
2	51	13
3	96	13
4	131	13
5	138	13
6	146	13
7	154	13
0	154	13

start0.0ms (0%)

analyze139.0ms (5.6%)

sample1.5s (58.2%)

explain143.0ms (5.7%)

preprocess20.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

series25.0ms (1%)

rewrite140.0ms (5.6%)

eval21.0ms (0.8%)

prune41.0ms (1.6%)

series28.0ms (1.1%)

rewrite76.0ms (3.1%)

eval11.0ms (0.5%)

prune36.0ms (1.4%)

series7.0ms (0.3%)

rewrite84.0ms (3.4%)

eval6.0ms (0.2%)

prune9.0ms (0.4%)

series26.0ms (1%)

rewrite133.0ms (5.3%)

eval23.0ms (0.9%)

prune62.0ms (2.5%)

derivations0.0ms (0%)

preprocess11.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	48	131
1	119	131
2	214	131
3	346	131
4	449	131
5	484	131
6	505	131
0	10	13
0	17	13
1	27	13
2	51	13
3	96	13
4	131	13
5	138	13
6	146	13
7	154	13
0	154	13