Metrics for quad2p (problem 3.2.1, positive)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze111.0ms (1.1%)

Memory

36.2MiB live, 229.0MiB allocated

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)

sample1.6s (16%)

Memory

10.9MiB live, 1 918.3MiB allocated

Samples

672.0ms	5 548×	0	valid
280.0ms	1 226×	2	valid
170.0ms	1 315×	1	valid
80.0ms	1 026×	0	invalid
47.0ms	167×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 905.0ms

ival-sqrt: 334.0ms (36.9% of total)

ival-mult: 142.0ms (15.7% of total)

ival-div: 132.0ms (14.6% of total)

ival-add: 73.0ms (8.1% of total)

adjust: 72.0ms (8% of total)

ival-neg: 72.0ms (8% of total)

ival-sub: 69.0ms (7.6% of total)

ival-true: 8.0ms (0.9% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain191.0ms (1.9%)

Memory

-33.9MiB live, 218.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
115	0	-	1	(-1.337743010786411e-259 -3.000618383111524e-168 8.528160983427305e-54)	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
63	0	-	0	-	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
19	1	(-2.3942459347359556e-99 8.960519215519504e+196 7.708889957743249e-126)	1	(3.321729059943983e-185 6.284609786167119e+190 -6.085474296686058e+56)	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
8	0	-	0	-	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`
0	0	-	0	-	`(*.f64 b_2 b_2)`
0	0	-	0	-	`a`
0	0	-	0	-	`(neg.f64 b_2)`
0	0	-	0	-	`b_2`
0	0	-	0	-	`(*.f64 a c)`
0	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	107	0
↳	`(*.f64 b_2 b_2)`	overflow	91
↳	`(*.f64 a c)`	overflow	30
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	overflow	107
`+.f64`	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	cancellation	63	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`	u/n	19	0
↳	`(*.f64 b_2 b_2)`	underflow	33
↳	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	underflow	29
↳	`(*.f64 a c)`	underflow	29
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	7
`-.f64`	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	nan-rescue	8	0
↳	`(*.f64 b_2 b_2)`	overflow	91
↳	`(*.f64 a c)`	overflow	30
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	uflow-rescue	7	0
↳	`(*.f64 b_2 b_2)`	underflow	33
↳	`(*.f64 a c)`	underflow	29
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	7

Confusion

	Predicted +	Predicted -
+	141	1
-	15	99

Precision

0.9038461538461539

Recall

0.9929577464788732

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	141	0	1
-	15	0	99

Precision?

0.9038461538461539

Recall?

0.9929577464788732

Freqs

test

number	freq
0	100
1	113
2	38
3	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

35.0ms	12×	3	valid
25.0ms	330×	0	valid
18.0ms	96×	1	valid
15.0ms	74×	2	valid

Compiler

Compiled 120 to 34 computations (71.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-sub: 40.0ms (56.7% of total)

ival-mult: 8.0ms (11.3% of total)

ival-sqrt: 6.0ms (8.5% of total)

ival-div: 5.0ms (7.1% of total)

adjust: 5.0ms (7.1% of total)

ival-add: 4.0ms (5.7% of total)

ival-neg: 2.0ms (2.8% of total)

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

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

preprocess109.0ms (1.1%)

Memory

23.7MiB live, 98.9MiB allocated

Algorithm

1×	egg-herbie

Rules

986×	`div-sub`
756×	`times-frac`
416×	`lower-fma.f64`
416×	`lower-fma.f32`
416×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	118
1	114	111
2	245	109
3	674	109
4	1757	109
5	3192	109
6	3780	109
7	3870	109
8	3962	109
9	3994	109
10	3994	109
0	10	13
0	17	13
1	28	12
2	45	12
3	74	12
4	113	12
5	189	12
6	319	12
7	464	12
8	807	12
9	920	12
10	952	12
11	963	12
12	964	12
0	964	12

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.9%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify38.0ms (0.4%)

Memory

0.5MiB live, 40.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
cost-diff	128	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))

Rules

416×	`lower-fma.f64`
416×	`lower-fma.f32`
264×	`lower-*.f32`
260×	`lower-*.f64`
142×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	50
0	17	50
1	28	48
2	45	48
3	74	48
4	113	48
5	189	48
6	319	48
7	464	48
8	807	48
9	920	48
10	952	48
11	963	48
12	964	48
0	964	48

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

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

localize45.0ms (0.5%)

Memory

15.1MiB live, 86.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	1.5937500000000002	(-.f64 (.f64 b_2 b_2) (.f64 a c))
accuracy	4.570443630506971	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
accuracy	14.690452127976497	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
accuracy	26.740289425988866	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Samples

13.0ms	165×	0	valid
11.0ms	37×	2	valid
7.0ms	48×	1	valid
1.0ms	6×	3	valid

Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 7.0ms (34.5% of total)

ival-div: 3.0ms (14.8% of total)

ival-sqrt: 3.0ms (14.8% of total)

ival-sub: 2.0ms (9.8% of total)

adjust: 2.0ms (9.8% of total)

ival-add: 2.0ms (9.8% of total)

ival-neg: 1.0ms (4.9% of total)

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

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

series20.0ms (0.2%)

Memory

-1.2MiB live, 34.9MiB allocated

Counts

5 → 156

Calls

Call 1

Inputs
#<alt (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))>
#<alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)>
#<alt (neg.f64 b_2)>
#<alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))>
#<alt (-.f64 (.f64 b_2 b_2) (.f64 a c))>

Outputs
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* 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)))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -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)>
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 b_2)>
#<alt (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))>
#<alt (* 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)))))))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))>
#<alt (* 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)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -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)))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))>
#<alt (* 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)))))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))>
#<alt (* 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)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -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)))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))>
#<alt (+ (* -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))))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt b_2>
#<alt (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))>
#<alt (* 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)))))))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -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))))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))>
#<alt (+ 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))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))>
#<alt (+ 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))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (* -1 (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (pow b_2 2)>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (* -1 (* a c))>
#<alt (* a (- (/ (pow b_2 2) a) c))>
#<alt (* a (- (/ (pow b_2 2) a) c))>
#<alt (* a (- (/ (pow b_2 2) a) c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))>
#<alt (pow b_2 2)>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (* -1 (* a c))>
#<alt (* c (- (/ (pow b_2 2) c) a))>
#<alt (* c (- (/ (pow b_2 2) c) a))>
#<alt (* c (- (/ (pow b_2 2) c) a))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))>

Calls

39 calls:

Time	Variable		Point	Expression
4.0ms	c	@	0	(+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
1.0ms	b_2	@	inf	(+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
1.0ms	a	@	inf	(+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
1.0ms	b_2	@	inf	(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
1.0ms	b_2	@	-inf	(neg b_2)

simplify343.0ms (3.4%)

Memory

7.5MiB live, 510.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 022×	`lower-fma.f64`
11 022×	`lower-fma.f32`
7 132×	`lower-*.f64`
7 132×	`lower-*.f32`
3 498×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	508	3200
1	1606	3160
2	5520	3144
0	8782	3008

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 153

Calls

Call 1

Inputs
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* 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)))
(* -1/2 (/ (* a c) b_2))
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -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)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* 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)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -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)))))
(* -1/2 (/ (* a c) b_2))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* 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)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* 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)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -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)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -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))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1/2 (/ c b_2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* (sqrt (* a c)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (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)))))))
(+ (* (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)))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* 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)))))))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -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 (* 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))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ 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))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* 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)))))
(* 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))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -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))))))
(* -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)))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ 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))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* 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)))))
(* 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))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -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))))))
(* -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)))))))
(* -1 (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(* -1 (* a c))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* c (- (/ (pow b_2 2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(* -1 (* a c))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))

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

rewrite180.0ms (1.8%)

Memory

-0.0MiB live, 389.3MiB allocated

Rules

3 984×	`lower-fma.f64`
3 984×	`lower-fma.f32`
2 962×	`lower-*.f32`
2 958×	`lower-*.f64`
1 432×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
0	17	41
1	64	39
2	463	38
3	5888	38
0	8611	34

Stop Event

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

Counts

5 → 449

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))))) #s(literal -1 binary64)))
(+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))
(+.f64 b_2 (.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) #s(literal -1 binary64)))
(+.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) b_2)
(+.f64 #s(literal 0 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))
(+.f64 (/.f64 (.f64 b_2 b_2) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))) (neg.f64 (/.f64 (fma.f64 b_2 b_2 (.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))))))
(+.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 0 binary64)) b_2)
(+.f64 (.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) #s(literal -1 binary64)) b_2)
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 b_2 b_2) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))))) (/.f64 (fma.f64 b_2 b_2 (.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))))
(-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))
(-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) b_2)
(-.f64 #s(literal 0 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))
(-.f64 (/.f64 (.f64 b_2 b_2) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))) (/.f64 (fma.f64 b_2 b_2 (.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))))
(-.f64 (/.f64 (fma.f64 b_2 b_2 (.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))) (/.f64 (.f64 b_2 b_2) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))))
(-.f64 (/.f64 (.f64 b_2 (.f64 b_2 b_2)) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (fma.f64 b_2 b_2 (.f64 a c)))) (/.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c)))))
(-.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 0 binary64)) b_2)
(fma.f64 b_2 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))
(fma.f64 b_2 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) #s(literal -1 binary64)))
(fma.f64 b_2 #s(literal -1 binary64) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))
(fma.f64 b_2 #s(literal -1 binary64) (.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) #s(literal -1 binary64)))
(fma.f64 b_2 (/.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))) (neg.f64 (/.f64 (fma.f64 b_2 b_2 (.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))))
(fma.f64 (.f64 b_2 b_2) (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))) (neg.f64 (/.f64 (fma.f64 b_2 b_2 (.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))))))
(fma.f64 (.f64 b_2 b_2) (/.f64 #s(literal 1 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))
(fma.f64 (.f64 b_2 b_2) (/.f64 #s(literal 1 binary64) b_2) (.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b_2 b_2 (.f64 a c)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (.f64 a c)))) b_2)
(fma.f64 (fma.f64 b_2 b_2 (.f64 a c)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) b_2)
(fma.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal -1 binary64) b_2)
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(/.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal -1 binary64)) a)
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(pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) a) #s(literal 1 binary64))
(pow.f64 (/.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) #s(literal -1 binary64))
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(pow.f64 (pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) a) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (/.f64 #s(literal 1 binary64) a))
(.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (/.f64 #s(literal -1 binary64) a))
(.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))))
(.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) a) #s(literal 1 binary64))
(.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) a) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))))
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(.f64 (fma.f64 (fma.f64 b_2 b_2 (.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c)))) (neg.f64 a)))
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(.f64 #s(literal 1 binary64) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) a))
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(.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) (neg.f64 a)))
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(.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 a c))))) (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))))
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b_2
(exp.f64 (*.f64 (log.f64 b_2) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 b_2) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 b_2 #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) b_2)
(-.f64 #s(literal 0 binary64) b_2)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b_2 b_2)) b_2)
(-.f64 (/.f64 #s(literal 0 binary64) b_2) b_2)
(fma.f64 b_2 #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 b_2 #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 b_2 b_2) (/.f64 #s(literal 1 binary64) b_2) #s(literal 0 binary64))
(fma.f64 (.f64 b_2 (.f64 b_2 b_2)) (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) b_2 #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) b_2 #s(literal 0 binary64))
(fma.f64 (pow.f64 b_2 #s(literal 1/2 binary64)) (pow.f64 b_2 #s(literal 1/2 binary64)) #s(literal 0 binary64))
(neg.f64 b_2)
(/.f64 (*.f64 b_2 b_2) b_2)
(/.f64 (.f64 b_2 (.f64 b_2 b_2)) (*.f64 b_2 b_2))
(/.f64 (.f64 b_2 (.f64 b_2 b_2)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b_2 b_2) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b_2 b_2) (.f64 b_2 (*.f64 b_2 b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 b_2 b_2)))
(pow.f64 b_2 #s(literal 1 binary64))
(pow.f64 (/.f64 (.f64 b_2 b_2) (.f64 b_2 (*.f64 b_2 b_2))) #s(literal -1 binary64))
(pow.f64 (/.f64 b_2 (*.f64 b_2 b_2)) #s(literal -1 binary64))
(pow.f64 (pow.f64 b_2 #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 b_2 #s(literal 1 binary64))
(*.f64 b_2 #s(literal -1 binary64))
(.f64 (.f64 b_2 b_2) (/.f64 #s(literal 1 binary64) b_2))
(.f64 (.f64 b_2 (.f64 b_2 b_2)) (/.f64 #s(literal 1 binary64) (.f64 b_2 b_2)))
(*.f64 #s(literal 1 binary64) b_2)
(*.f64 #s(literal -1 binary64) b_2)
(*.f64 (pow.f64 b_2 #s(literal 1/2 binary64)) (pow.f64 b_2 #s(literal 1/2 binary64)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 b_2 b_2 (.f64 a c)))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 b_2 b_2 (.f64 a c)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (fma.f64 b_2 b_2 (.f64 a c)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(+.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))
(fabs.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))
(sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))
(fma.f64 (fma.f64 b_2 b_2 (.f64 a c)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (.f64 a c)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 b_2 b_2 (.f64 a c)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) #s(literal 0 binary64))
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(/.f64 (.f64 (sqrt.f64 (fma.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))) (.f64 (.f64 a (.f64 a c)) (.f64 a (.f64 c c))))) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (sqrt.f64 (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a (.f64 c (fma.f64 b_2 b_2 (.f64 a c)))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))) (.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))) (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))))) (.f64 (.f64 (.f64 a (.f64 a c)) (.f64 a (.f64 c c))) (.f64 (.f64 (.f64 a (.f64 a c)) (.f64 a (.f64 c c))) (.f64 (.f64 a (.f64 a c)) (.f64 a (.f64 c c)))))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a (.f64 c (fma.f64 b_2 b_2 (.f64 a c))))))) (fma.f64 (.f64 (.f64 a (.f64 a c)) (.f64 a (.f64 c c))) (fma.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))) (.f64 (.f64 a (.f64 a c)) (.f64 a (.f64 c c)))) (.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))) (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (*.f64 b_2 b_2))))))))
(/.f64 (.f64 (.f64 (fma.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))) (.f64 (.f64 a (.f64 a c)) (.f64 a (.f64 c c)))) (fma.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))) (.f64 (.f64 a (.f64 a c)) (.f64 a (.f64 c c))))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a (.f64 c (fma.f64 b_2 b_2 (.f64 a c))))))) (fma.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))) (.f64 (.f64 a (.f64 a c)) (.f64 a (.f64 c c)))))
(/.f64 (.f64 (.f64 (fma.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))) (.f64 (.f64 a (.f64 a c)) (.f64 a (.f64 c c)))) (fma.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))) (.f64 (.f64 a (.f64 a c)) (.f64 a (.f64 c c))))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (.f64 a c)))) (fma.f64 b_2 (.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))) (.f64 (.f64 a c) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (.f64 a (.f64 c (fma.f64 b_2 b_2 (.f64 a c))))))))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 a c))) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 a c)))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (.f64 a c)))) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 a c))))
(/.f64 (/.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 a c))) (fma.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))) (.f64 (.f64 a (.f64 a c)) (.f64 a (.f64 c c))))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a (.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))))
(/.f64 (/.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 a c))) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 a c)))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))
(pow.f64 (fma.f64 b_2 b_2 (*.f64 a c)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 2 binary64))
(pow.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal 4 binary64))
(pow.f64 (.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 a c))) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (fma.f64 b_2 b_2 (.f64 a c)) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))
(.f64 (fma.f64 b_2 b_2 (.f64 a c)) (/.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 a c))))
(.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))
(.f64 (fma.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))) (.f64 (.f64 a (.f64 a c)) (.f64 a (.f64 c c)))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a (.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))))
(.f64 (fma.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))) (.f64 (.f64 a (.f64 a c)) (.f64 a (.f64 c c)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a (.f64 c (fma.f64 b_2 b_2 (*.f64 a c))))))))
(.f64 (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a (.f64 c (fma.f64 b_2 b_2 (.f64 a c))))) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a (.f64 c (fma.f64 b_2 b_2 (*.f64 a c))))))))
(.f64 (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a (.f64 c (fma.f64 b_2 b_2 (.f64 a c))))) (/.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a (.f64 c (fma.f64 b_2 b_2 (.f64 a c)))))))
(.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (.f64 a c)))
(.f64 #s(literal -1 binary64) (fma.f64 b_2 b_2 (.f64 a c)))
(.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 a c))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))
(.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (.f64 a c))) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a (.f64 c (fma.f64 b_2 b_2 (.f64 a c)))))) (fma.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))) (.f64 (.f64 a (.f64 a c)) (.f64 a (*.f64 c c)))))
(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))
(.f64 (.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))) (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))
(.f64 (pow.f64 (fma.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))) (.f64 (.f64 a (.f64 a c)) (.f64 a (.f64 c c)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a (.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))))
(.f64 (/.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))) (.f64 (.f64 a (.f64 a c)) (.f64 a (.f64 c c))))) (/.f64 (fma.f64 b_2 b_2 (.f64 a c)) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a (.f64 c (fma.f64 b_2 b_2 (*.f64 a c))))))))
(.f64 (/.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 a c))) (fma.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))) (.f64 (.f64 a (.f64 a c)) (.f64 a (.f64 c c))))) (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a (.f64 c (fma.f64 b_2 b_2 (.f64 a c))))))
(.f64 (/.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 a c))) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 a c)))) (fma.f64 b_2 b_2 (.f64 a c)))
(.f64 (/.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 a c))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))
(.f64 (/.f64 (fma.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))) (.f64 (.f64 a (.f64 a c)) (.f64 a (.f64 c c)))) (fma.f64 (.f64 (.f64 a (.f64 a c)) (.f64 a (.f64 c c))) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 a c)))) (.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))) (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))))))) (fma.f64 b_2 (.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))) (.f64 (.f64 a (.f64 c (fma.f64 b_2 b_2 (.f64 a c)))) (-.f64 (.f64 a (.f64 c (fma.f64 b_2 b_2 (.f64 a c)))) (.f64 b_2 (.f64 b_2 (*.f64 b_2 b_2)))))))
(.f64 (/.f64 (fma.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))) (.f64 (.f64 a (.f64 a c)) (.f64 a (.f64 c c)))) (.f64 (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a (.f64 c (fma.f64 b_2 b_2 (.f64 a c))))) (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a (.f64 c (fma.f64 b_2 b_2 (.f64 a c))))))) (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a (.f64 c (fma.f64 b_2 b_2 (.f64 a c))))))

eval119.0ms (1.2%)

Memory: -21.2MiB live, 100.9MiB allocated
Compiler: Compiled 18 740 to 2 095 computations (88.8% saved)

prune263.0ms (2.6%)

Memory

-5.3MiB live, 195.5MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	589	13	602
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	589	14	603

Accuracy

92.2%

Counts

603 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	29.8%	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64))) a)
	16.5%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (fma.f64 b_2 b_2 (.f64 a c))))))) a)
	19.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 (.f64 b_2 b_2)) (/.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (fma.f64 b_2 b_2 (*.f64 a c))))))) a)
	23.9%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal -1 binary64)))) a)
	3.6%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))) (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a (.f64 c (fma.f64 b_2 b_2 (.f64 a c)))))) (.f64 (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a (.f64 c (fma.f64 b_2 b_2 (.f64 a c))))) (.f64 (.f64 a (.f64 a c)) (.f64 a (.f64 c c))))) (.f64 (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a (.f64 c (fma.f64 b_2 b_2 (.f64 a c))))) (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a (.f64 c (fma.f64 b_2 b_2 (*.f64 a c))))))))) a)
✓	46.9%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
▶	34.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2)))))))) a)
	24.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
	30.4%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c))))) a)
	9.7%	(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 a (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) b_2))) a)
▶	27.6%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2)) a)
	34.7%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
▶	37.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c (/.f64 c (.f64 b_2 b_2)))))) b_2))
▶	37.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))

Compiler

Compiled 702 to 332 computations (52.7% saved)

simplify240.0ms (2.4%)

Memory

-16.8MiB live, 260.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64))
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64))) a)
cost-diff	128	(+.f64 (neg.f64 b_2) (pow.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64)))
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2)))))))) a)
cost-diff	128	(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2))))))))
cost-diff	1344	(.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2)))))
cost-diff	0	(.f64 a (.f64 c #s(literal -1/2 binary64)))
cost-diff	0	(/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2)
cost-diff	0	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2))
cost-diff	0	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2)) a)
cost-diff	0	(/.f64 #s(literal -1/2 binary64) b_2)
cost-diff	0	(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
cost-diff	0	(.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c (/.f64 c (.f64 b_2 b_2)))))
cost-diff	0	(/.f64 (fma.f64 c #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c (/.f64 c (.f64 b_2 b_2)))))) b_2)
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c (/.f64 c (.f64 b_2 b_2)))))) b_2))
cost-diff	320	(fma.f64 c #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c (/.f64 c (.f64 b_2 b_2))))))

Rules

6 820×	`lower-fma.f32`
6 816×	`lower-fma.f64`
4 720×	`lower-*.f32`
4 698×	`lower-*.f64`
2 074×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	408
0	69	402
1	116	394
2	255	391
3	664	391
4	1980	367
5	3022	367
6	5016	367
0	8249	364

Stop Event

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

Calls

Call 1

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

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

localize210.0ms (2.1%)

Memory

11.5MiB live, 287.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.4999834856333614	(fma.f64 b_2 b_2 (*.f64 a c))
accuracy	4.562631130506971	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64))) a)
accuracy	14.659805682464995	(+.f64 (neg.f64 b_2) (pow.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64)))
accuracy	41.97919744698237	(pow.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64))
accuracy	8.464933549418449	(.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2)))))
accuracy	10.04783314553912	(/.f64 c (*.f64 b_2 b_2))
accuracy	14.690452127976497	(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2))))))))
accuracy	26.740289425988866	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2)))))))
accuracy	0	(.f64 a (.f64 c #s(literal -1/2 binary64)))
accuracy	4.570443630506971	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2)) a)
accuracy	6.253766312283897	(/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2)
accuracy	39.72812562374046	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2))
accuracy	0	(/.f64 #s(literal -1/2 binary64) b_2)
accuracy	0.1796875	(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
accuracy	39.80955389148372	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
accuracy	4.3745871969694345	(.f64 c (/.f64 c (.f64 b_2 b_2)))
accuracy	5.486539670590758	(.f64 a (.f64 c (/.f64 c (*.f64 b_2 b_2))))
accuracy	10.04783314553912	(/.f64 c (*.f64 b_2 b_2))
accuracy	39.97874600418163	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c (/.f64 c (.f64 b_2 b_2)))))) b_2))

Samples

61.0ms	48×	1	valid
47.0ms	165×	0	valid
33.0ms	37×	2	valid
9.0ms	6×	3	valid

Compiler

Compiled 326 to 35 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-add: 45.0ms (38.2% of total)

ival-pow: 27.0ms (22.9% of total)

ival-mult: 18.0ms (15.3% of total)

ival-div: 12.0ms (10.2% of total)

adjust: 8.0ms (6.8% of total)

ival-sub: 3.0ms (2.5% of total)

ival-sqrt: 3.0ms (2.5% of total)

exact: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

series195.0ms (2%)

Memory

5.5MiB live, 242.5MiB allocated

Counts

23 → 732

Calls

Call 1

Inputs
#<alt (fma.f64 c #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c (/.f64 c (.f64 b_2 b_2))))))>
#<alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c (/.f64 c (.f64 b_2 b_2)))))) b_2))>
#<alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c (/.f64 c (.f64 b_2 b_2)))))) b_2)>
#<alt (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c (/.f64 c (.f64 b_2 b_2)))))>
#<alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))>
#<alt (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))>
#<alt (/.f64 #s(literal -1/2 binary64) b_2)>
#<alt (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2)) a)>
#<alt #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2))>
#<alt (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2)>
#<alt (.f64 a (.f64 c #s(literal -1/2 binary64)))>
#<alt (.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2)))))>
#<alt (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2))))))))>
#<alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2)))))))) a)>
#<alt (neg.f64 b_2)>
#<alt (+.f64 (neg.f64 b_2) (pow.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64)))>
#<alt (/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64))) a)>
#<alt (pow.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64))>
#<alt (/.f64 c (*.f64 b_2 b_2))>
#<alt (.f64 a (.f64 c (/.f64 c (*.f64 b_2 b_2))))>
#<alt (.f64 c (/.f64 c (.f64 b_2 b_2)))>
#<alt (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2)))))))>
#<alt (fma.f64 b_2 b_2 (*.f64 a c))>

Outputs
#<alt (* -1/2 c)>
#<alt (* c (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2))>
#<alt (* c (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2))>
#<alt (* c (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2))>
#<alt (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))>
#<alt (* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c))))>
#<alt (* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c))))>
#<alt (* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c))))>
#<alt (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))>
#<alt (* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c))))>
#<alt (* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c))))>
#<alt (* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c))))>
#<alt (* -1/2 c)>
#<alt (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))>
#<alt (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))>
#<alt (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))>
#<alt (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))>
#<alt (* a (+ (* -1/2 (/ c a)) (* -1/8 (/ (pow c 2) (pow b_2 2)))))>
#<alt (* a (+ (* -1/2 (/ c a)) (* -1/8 (/ (pow c 2) (pow b_2 2)))))>
#<alt (* a (+ (* -1/2 (/ c a)) (* -1/8 (/ (pow c 2) (pow b_2 2)))))>
#<alt (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))>
#<alt (* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 2))) (* 1/2 (/ c a)))))>
#<alt (* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 2))) (* 1/2 (/ c a)))))>
#<alt (* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 2))) (* 1/2 (/ c a)))))>
#<alt (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))>
#<alt (/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 2))>
#<alt (/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 2))>
#<alt (/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 2))>
#<alt (* -1/2 c)>
#<alt (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))>
#<alt (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))>
#<alt (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))>
#<alt (* -1/2 c)>
#<alt (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))>
#<alt (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))>
#<alt (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))>
#<alt (+ (* -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))))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
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#<alt (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow c 3) (pow b_2 5)))))))))>
#<alt (sqrt (* a c))>
#<alt (* a (+ (sqrt (/ c a)) (* -1 (/ b_2 a))))>
#<alt (* a (- (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) (/ b_2 a)))>
#<alt (* a (- (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))) (/ b_2 a)))>
#<alt (* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 2)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ a c)) (pow b_2 2)))) a)) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* c (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* 1/2 (/ a b_2))))>
#<alt (* 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)))))))>
#<alt (* c (+ (* 1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow a 3) (pow b_2 5)))))))))>
#<alt (sqrt (* a c))>
#<alt (* c (+ (sqrt (/ a c)) (* -1 (/ b_2 c))))>
#<alt (* c (- (+ (sqrt (/ a c)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))) (/ b_2 c)))>
#<alt (* c (- (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))))) (/ b_2 c)))>
#<alt (* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 2)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c a)) (pow b_2 2)))) c)) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))>
#<alt (sqrt (/ c a))>
#<alt (+ (sqrt (/ c a)) (* -1 (/ b_2 a)))>
#<alt (+ (sqrt (/ c a)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) b_2)) (/ 1 a))))>
#<alt (+ (sqrt (/ c a)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* (pow a 3) c)))))) (/ 1 a))))>
#<alt (* 1/2 (/ c b_2))>
#<alt (/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)>
#<alt (/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c))) b_2)>
#<alt (/ (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c)))) b_2)>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))))>
#<alt (* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))>
#<alt (* 1/2 (/ c b_2))>
#<alt (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))>
#<alt (+ (* 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))))))>
#<alt (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow c 3) (pow b_2 5))))))))>
#<alt (sqrt (/ c a))>
#<alt (+ (sqrt (/ c a)) (* -1 (/ b_2 a)))>
#<alt (+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))>
#<alt (+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))>
#<alt (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2)))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (pow b_2 2))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2))))) a))) a)))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* c (+ (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* 1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))>
#<alt (sqrt (/ c a))>
#<alt (* c (+ (sqrt (/ 1 (* a c))) (* -1 (/ b_2 (* a c)))))>
#<alt (* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))))))>
#<alt (* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2)))))))>
#<alt (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (pow b_2 2)))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))>
#<alt (sqrt (* a c))>
#<alt (+ (sqrt (* a c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))))>
#<alt (+ (sqrt (* a c)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* a c)))))))>
#<alt (+ (sqrt (* a c)) (* (pow b_2 2) (+ (* 1/2 (sqrt (/ 1 (* a c)))) (* (pow b_2 2) (+ (* -1/8 (sqrt (/ 1 (* (pow a 3) (pow c 3))))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 2))))))))>
#<alt b_2>
#<alt (* b_2 (+ 1 (* 1/2 (/ (* a c) (pow b_2 2)))))>
#<alt (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2)))))))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* 1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2)))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2))))))))>
#<alt b_2>
#<alt (+ b_2 (* 1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))))>
#<alt (+ 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))))))))>
#<alt (sqrt (* a c))>
#<alt (* a (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))>
#<alt (* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))>
#<alt (* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (pow b_2 6))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))))>
#<alt (* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))))>
#<alt b_2>
#<alt (+ b_2 (* 1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* c (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* 1/2 (/ a b_2)))))>
#<alt (+ 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))))))))>
#<alt (sqrt (* a c))>
#<alt (* c (+ (sqrt (/ a c)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))))>
#<alt (* c (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))))))>
#<alt (* c (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (pow b_2 6))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))))))>
#<alt (* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (pow c 2) (pow b_2 2))>
#<alt (/ (pow c 2) (pow b_2 2))>
#<alt (/ (pow c 2) (pow b_2 2))>
#<alt (/ (pow c 2) (pow b_2 2))>
#<alt (/ (pow c 2) (pow b_2 2))>
#<alt (/ (pow c 2) (pow b_2 2))>
#<alt (/ (pow c 2) (pow b_2 2))>
#<alt (/ (pow c 2) (pow b_2 2))>
#<alt (/ (pow c 2) (pow b_2 2))>
#<alt (/ (pow c 2) (pow b_2 2))>
#<alt (/ (pow c 2) (pow b_2 2))>
#<alt (/ (pow c 2) (pow b_2 2))>
#<alt (/ (pow c 2) (pow b_2 2))>
#<alt (/ (pow c 2) (pow b_2 2))>
#<alt (/ (pow c 2) (pow b_2 2))>
#<alt (/ (pow c 2) (pow b_2 2))>
#<alt (/ (pow c 2) (pow b_2 2))>
#<alt (/ (pow c 2) (pow b_2 2))>
#<alt (/ (pow c 2) (pow b_2 2))>
#<alt (/ (pow c 2) (pow b_2 2))>
#<alt (/ (pow c 2) (pow b_2 2))>
#<alt (/ (pow c 2) (pow b_2 2))>
#<alt (/ (pow c 2) (pow b_2 2))>
#<alt (/ (pow c 2) (pow b_2 2))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt b_2>
#<alt (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))>
#<alt (* 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)))))))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -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))))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))>
#<alt (+ 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))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))>
#<alt (+ 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))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (* a c)>
#<alt (+ (* a c) (pow b_2 2))>
#<alt (+ (* a c) (pow b_2 2))>
#<alt (+ (* a c) (pow b_2 2))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))>
#<alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))>
#<alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))>
#<alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))>
#<alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))>
#<alt (pow b_2 2)>
#<alt (+ (* a c) (pow b_2 2))>
#<alt (+ (* a c) (pow b_2 2))>
#<alt (+ (* a c) (pow b_2 2))>
#<alt (* a c)>
#<alt (* a (+ c (/ (pow b_2 2) a)))>
#<alt (* a (+ c (/ (pow b_2 2) a)))>
#<alt (* a (+ c (/ (pow b_2 2) a)))>
#<alt (* a c)>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))>
#<alt (pow b_2 2)>
#<alt (+ (* a c) (pow b_2 2))>
#<alt (+ (* a c) (pow b_2 2))>
#<alt (+ (* a c) (pow b_2 2))>
#<alt (* a c)>
#<alt (* c (+ a (/ (pow b_2 2) c)))>
#<alt (* c (+ a (/ (pow b_2 2) c)))>
#<alt (* c (+ a (/ (pow b_2 2) c)))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))>

Calls

183 calls:

Time	Variable		Point	Expression
77.0ms	b_2	@	0	(+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4))
17.0ms	c	@	0	(+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4))
11.0ms	a	@	0	(+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4))
11.0ms	b_2	@	-inf	(* (* b_2 b_2) (- 1 (* a (/ c (* b_2 b_2)))))
2.0ms	b_2	@	inf	(/ (+ (* c -1/2) (* -1/8 (* a (* c (/ c (* b_2 b_2)))))) b_2)

simplify409.0ms (4.1%)

Memory

15.3MiB live, 522.0MiB allocated

Algorithm

1×	egg-herbie

Rules

13 246×	`lower-fma.f64`
13 246×	`lower-fma.f32`
8 280×	`lower-*.f64`
8 280×	`lower-*.f32`
5 708×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	884	12430
1	2851	12168
0	8359	11678

Stop Event

1×	iter limit
1×	node limit

Counts

732 → 726

Calls

Call 1

Inputs
(* -1/2 c)
(* c (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c))))
(* -1/2 c)
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* a (+ (* -1/2 (/ c a)) (* -1/8 (/ (pow c 2) (pow b_2 2)))))
(* a (+ (* -1/2 (/ c a)) (* -1/8 (/ (pow c 2) (pow b_2 2)))))
(* a (+ (* -1/2 (/ c a)) (* -1/8 (/ (pow c 2) (pow b_2 2)))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 2))) (* 1/2 (/ c a)))))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 2))) (* 1/2 (/ c a)))))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 2))) (* 1/2 (/ c a)))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 2))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 2))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 2))
(* -1/2 c)
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))
(* -1/2 c)
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -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))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1/2 (/ c b_2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1/2 (/ c b_2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(* -1/2 (/ c b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -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))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1/2 (/ c b_2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(/ -1/2 b_2)
(/ -1/2 b_2)
(/ -1/2 b_2)
(/ -1/2 b_2)
(/ -1/2 b_2)
(/ -1/2 b_2)
(/ -1/2 b_2)
(/ -1/2 b_2)
(/ -1/2 b_2)
(/ -1/2 b_2)
(/ -1/2 b_2)
(/ -1/2 b_2)
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -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))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1/2 (/ c b_2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* 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)))
(* -1/2 (/ (* a c) b_2))
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -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)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* 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)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -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)))))
(* -1/2 (/ (* a c) b_2))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* 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)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* 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)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -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)))))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1/2 (* a c))
(* -1 (* a c))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* a (+ (* -1 c) (/ (pow b_2 2) a)))
(* a (+ (* -1 c) (/ (pow b_2 2) a)))
(* a (+ (* -1 c) (/ (pow b_2 2) a)))
(* -1 (* a c))
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* c (+ (* -1 a) (/ (pow b_2 2) c)))
(* c (+ (* -1 a) (/ (pow b_2 2) c)))
(* c (+ (* -1 a) (/ (pow b_2 2) c)))
(* -1 (* a c))
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* 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)))
(* -1/2 (/ (* a c) b_2))
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -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)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* 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)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -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)))))
(* -1/2 (/ (* a c) b_2))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* 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)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* 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)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -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)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -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))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1/2 (/ c b_2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(sqrt (* a c))
(+ (sqrt (* a c)) (* -1 b_2))
(+ (sqrt (* a c)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) b_2)) 1)))
(+ (sqrt (* a c)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* a c)))))) 1)))
(* 1/2 (/ (* a c) b_2))
(/ (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* 1/2 (* a c))) b_2)
(/ (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (* 1/2 (* a c)))) b_2)
(/ (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (* 1/2 (* a c))))) b_2)
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* 1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2)))))))
(* -1 (* 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))) (* 1/2 (/ (* a c) (pow b_2 2))))))))
(* 1/2 (/ (* a c) b_2))
(* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))
(* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow c 3) (pow b_2 5)))))))))
(sqrt (* a c))
(* a (+ (sqrt (/ c a)) (* -1 (/ b_2 a))))
(* a (- (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) (/ b_2 a)))
(* a (- (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))) (/ b_2 a)))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 2)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ a c)) (pow b_2 2)))) a)) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* 1/2 (/ (* a c) b_2))
(* c (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* 1/2 (/ a 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)))))))
(* c (+ (* 1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow a 3) (pow b_2 5)))))))))
(sqrt (* a c))
(* c (+ (sqrt (/ a c)) (* -1 (/ b_2 c))))
(* c (- (+ (sqrt (/ a c)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))) (/ b_2 c)))
(* c (- (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))))) (/ b_2 c)))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))
(* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 2)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c a)) (pow b_2 2)))) c)) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(sqrt (/ c a))
(+ (sqrt (/ c a)) (* -1 (/ b_2 a)))
(+ (sqrt (/ c a)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) b_2)) (/ 1 a))))
(+ (sqrt (/ c a)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* (pow a 3) c)))))) (/ 1 a))))
(* 1/2 (/ c b_2))
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c))) b_2)
(/ (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c)))) b_2)
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
(* 1/2 (/ c b_2))
(+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))
(+ (* 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))))))
(+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow c 3) (pow b_2 5))))))))
(sqrt (/ c a))
(+ (sqrt (/ c a)) (* -1 (/ b_2 a)))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2)))) a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (pow b_2 2))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2))))) a))) a)))
(* 1/2 (/ c b_2))
(* c (+ (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* 1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(sqrt (/ c a))
(* c (+ (sqrt (/ 1 (* a c))) (* -1 (/ b_2 (* a c)))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2)))))))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (pow b_2 2)))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(sqrt (* a c))
(+ (sqrt (* a c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))))
(+ (sqrt (* a c)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* a c)))))))
(+ (sqrt (* a c)) (* (pow b_2 2) (+ (* 1/2 (sqrt (/ 1 (* a c)))) (* (pow b_2 2) (+ (* -1/8 (sqrt (/ 1 (* (pow a 3) (pow c 3))))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 2))))))))
b_2
(* b_2 (+ 1 (* 1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2))))))
(* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2)))))))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* 1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2))))))))
b_2
(+ b_2 (* 1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))))
(+ 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))))))))
(sqrt (* a c))
(* a (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))
(* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))
(* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (pow b_2 6))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))))
b_2
(+ b_2 (* 1/2 (/ (* a c) b_2)))
(+ b_2 (* c (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* 1/2 (/ a b_2)))))
(+ 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))))))))
(sqrt (* a c))
(* c (+ (sqrt (/ a c)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))))
(* c (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))))))
(* c (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (pow b_2 6))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))))))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(* (sqrt (* a c)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (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)))))))
(+ (* (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)))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* 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)))))))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -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 (* 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))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ 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))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* 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)))))
(* 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))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -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))))))
(* -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)))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ 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))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* 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)))))
(* 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))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -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))))))
(* -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)))))))
(* a c)
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(pow b_2 2)
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(* a c)
(* a (+ c (/ (pow b_2 2) a)))
(* a (+ c (/ (pow b_2 2) a)))
(* a (+ c (/ (pow b_2 2) a)))
(* a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))
(pow b_2 2)
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(* a c)
(* c (+ a (/ (pow b_2 2) c)))
(* c (+ a (/ (pow b_2 2) c)))
(* c (+ a (/ (pow b_2 2) c)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))

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

rewrite345.0ms (3.5%)

Memory

11.9MiB live, 441.7MiB allocated

Rules

6 248×	`lower-fma.f32`
6 244×	`lower-fma.f64`
5 004×	`lower-/.f32`
4 990×	`lower-/.f64`
4 004×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	319
0	69	304
1	248	290
2	1779	275
0	8451	275

Stop Event

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

Counts

23 → 662

Calls

Call 1

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

Outputs
(+.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 c a)) (/.f64 c (.f64 b_2 b_2))) (*.f64 c #s(literal -1/2 binary64)))
(+.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 c a)) (/.f64 c (*.f64 b_2 b_2))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 c a)) (/.f64 c (.f64 b_2 b_2)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 c c)) (fma.f64 c #s(literal -1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 c a) c) (.f64 b_2 b_2))))) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (/.f64 (.f64 (.f64 c a) c) (.f64 b_2 b_2)) (/.f64 (.f64 (.f64 c a) c) (.f64 b_2 b_2)))) (fma.f64 c #s(literal -1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 c a) c) (.f64 b_2 b_2))))))
(-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (/.f64 (.f64 (.f64 c a) c) (.f64 b_2 b_2)) (/.f64 (.f64 (.f64 c a) c) (.f64 b_2 b_2)))) (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 c a)) (/.f64 c (.f64 b_2 b_2))) (.f64 c #s(literal -1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 c c)) (-.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 c a)) (/.f64 c (.f64 b_2 b_2))) (.f64 c #s(literal -1/2 binary64)))))
(fma.f64 c #s(literal -1/2 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 c a)) (/.f64 c (.f64 b_2 b_2))))
(fma.f64 #s(literal -1/2 binary64) c (.f64 (.f64 #s(literal -1/8 binary64) (.f64 c a)) (/.f64 c (.f64 b_2 b_2))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 c a) c) (.f64 b_2 b_2)) (.f64 c #s(literal -1/2 binary64)))
(fma.f64 a (.f64 (/.f64 (.f64 c c) (.f64 b_2 b_2)) #s(literal -1/8 binary64)) (.f64 c #s(literal -1/2 binary64)))
(fma.f64 (/.f64 (.f64 c c) (.f64 b_2 b_2)) (.f64 #s(literal -1/8 binary64) a) (.f64 c #s(literal -1/2 binary64)))
(fma.f64 (/.f64 (.f64 (.f64 c a) c) (.f64 b_2 b_2)) #s(literal -1/8 binary64) (.f64 c #s(literal -1/2 binary64)))
(fma.f64 (.f64 c a) (.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/8 binary64)) (.f64 c #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal -1/8 binary64) a) (/.f64 (.f64 c c) (.f64 b_2 b_2)) (.f64 c #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 c c) (.f64 b_2 b_2))) a (.f64 c #s(literal -1/2 binary64)))
(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 c a)) (/.f64 c (.f64 b_2 b_2)) (.f64 c #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) a) c) (/.f64 c (.f64 b_2 b_2)) (.f64 c #s(literal -1/2 binary64)))
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(/.f64 (.f64 c (neg.f64 c)) (.f64 b_2 (neg.f64 b_2)))
(/.f64 (*.f64 c (/.f64 c b_2)) b_2)
(/.f64 (.f64 #s(literal 1 binary64) c) (/.f64 (.f64 b_2 b_2) c))
(/.f64 (.f64 (neg.f64 c) c) (.f64 b_2 (neg.f64 b_2)))
(/.f64 (*.f64 (/.f64 c b_2) c) b_2)
(/.f64 (/.f64 (*.f64 c c) b_2) b_2)
(/.f64 (neg.f64 (neg.f64 (.f64 c c))) (.f64 b_2 b_2))
(/.f64 (neg.f64 (.f64 c #s(literal 1 binary64))) (neg.f64 (/.f64 (.f64 b_2 b_2) c)))
(/.f64 (neg.f64 (.f64 c (neg.f64 c))) (.f64 b_2 b_2))
(/.f64 (neg.f64 (*.f64 c (/.f64 c b_2))) (neg.f64 b_2))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) c)) (neg.f64 (/.f64 (.f64 b_2 b_2) c)))
(/.f64 (neg.f64 (.f64 (neg.f64 c) c)) (.f64 b_2 b_2))
(/.f64 (neg.f64 (*.f64 (/.f64 c b_2) c)) (neg.f64 b_2))
(/.f64 (neg.f64 (/.f64 (*.f64 c c) b_2)) (neg.f64 b_2))
(pow.f64 (/.f64 c b_2) #s(literal 2 binary64))
(pow.f64 (/.f64 (.f64 b_2 b_2) (.f64 c c)) #s(literal -1 binary64))
(.f64 c (/.f64 c (.f64 b_2 b_2)))
(.f64 (/.f64 c (.f64 b_2 b_2)) c)
(.f64 (/.f64 c (.f64 b_2 b_2)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c)))
(*.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 c (/.f64 b_2 c)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 b_2 b_2)) (/.f64 c (/.f64 #s(literal 1 binary64) c)))
(.f64 (.f64 c c) (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)))
(*.f64 (/.f64 c b_2) (/.f64 c b_2))
(*.f64 (/.f64 c (neg.f64 b_2)) (/.f64 c (neg.f64 b_2)))
(*.f64 (/.f64 c (neg.f64 b_2)) (/.f64 (neg.f64 c) b_2))
(.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 c (.f64 b_2 b_2)))
(.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 c (.f64 b_2 (neg.f64 b_2))))
(.f64 (/.f64 c (.f64 (neg.f64 b_2) #s(literal -1 binary64))) (/.f64 c b_2))
(*.f64 (/.f64 (neg.f64 c) b_2) (/.f64 c (neg.f64 b_2)))
(.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 c (.f64 b_2 b_2)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64)))))))
(fabs.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64))))))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64)))))
(pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64))))) #s(literal 1 binary64))
(pow.f64 (.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (fma.f64 (/.f64 c (.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64)))) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64))))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (fma.f64 (/.f64 c (.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64)))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64)))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (fma.f64 (/.f64 c (.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64)))))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64)))))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c a (.f64 b_2 b_2))) (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (fma.f64 c a (.f64 b_2 b_2))) (.f64 (fma.f64 c a (.f64 b_2 b_2)) (fma.f64 c a (.f64 b_2 b_2))))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 1 binary64)))
(+.f64 (.f64 b_2 b_2) (.f64 c a))
(+.f64 (.f64 c a) (.f64 b_2 b_2))
(-.f64 (/.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (/.f64 (.f64 (.f64 c a) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(-.f64 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (-.f64 (.f64 c a) (.f64 b_2 b_2))) (/.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (-.f64 (.f64 c a) (.f64 b_2 b_2))))
(sqrt.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (fma.f64 c a (*.f64 b_2 b_2))))
(fma.f64 c a (*.f64 b_2 b_2))
(fma.f64 a c (*.f64 b_2 b_2))
(fma.f64 b_2 b_2 (*.f64 c a))
(fma.f64 (.f64 b_2 b_2) #s(literal 1 binary64) (.f64 c a))
(fma.f64 #s(literal 1 binary64) (.f64 b_2 b_2) (.f64 c a))
(fma.f64 (neg.f64 b_2) (neg.f64 b_2) (*.f64 c a))
(fma.f64 #s(literal -1 binary64) (.f64 b_2 (neg.f64 b_2)) (.f64 c a))
(fma.f64 (.f64 (neg.f64 b_2) #s(literal -1 binary64)) b_2 (.f64 c a))
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (*.f64 c a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 c a (*.f64 b_2 b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c (.f64 a (.f64 c a)) (-.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (.f64 b_2 (.f64 b_2 (.f64 c a))))) (fma.f64 (.f64 b_2 b_2) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (.f64 (.f64 c a) (.f64 (.f64 c a) (*.f64 c a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 c a) (.f64 b_2 b_2)) (-.f64 (.f64 (.f64 c a) (.f64 c a)) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))))
(/.f64 (fma.f64 (.f64 b_2 b_2) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (.f64 (.f64 c a) (.f64 (.f64 c a) (.f64 c a)))) (fma.f64 (.f64 c a) (-.f64 (.f64 c a) (.f64 b_2 b_2)) (.f64 b_2 (.f64 b_2 (*.f64 b_2 b_2)))))
(/.f64 (fma.f64 (.f64 b_2 b_2) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (.f64 (.f64 c a) (.f64 (.f64 c a) (.f64 c a)))) (fma.f64 c (.f64 a (.f64 c a)) (-.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (.f64 b_2 (.f64 b_2 (*.f64 c a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c a (*.f64 b_2 b_2)))))
(/.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (-.f64 (.f64 b_2 b_2) (.f64 c a)))
(/.f64 (neg.f64 (fma.f64 (.f64 b_2 b_2) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (.f64 (.f64 c a) (.f64 (.f64 c a) (.f64 c a))))) (neg.f64 (fma.f64 (.f64 c a) (-.f64 (.f64 c a) (.f64 b_2 b_2)) (.f64 b_2 (.f64 b_2 (*.f64 b_2 b_2))))))
(/.f64 (neg.f64 (fma.f64 (.f64 b_2 b_2) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (.f64 (.f64 c a) (.f64 (.f64 c a) (.f64 c a))))) (neg.f64 (fma.f64 c (.f64 a (.f64 c a)) (-.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (.f64 b_2 (.f64 b_2 (*.f64 c a)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (neg.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(/.f64 (-.f64 (.f64 (.f64 c a) (.f64 c a)) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))) (-.f64 (.f64 c a) (.f64 b_2 b_2)))
(/.f64 (-.f64 (.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 (.f64 c a) (.f64 c a)))) (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (*.f64 c a))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 b_2 b_2) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (.f64 (.f64 c a) (.f64 (.f64 c a) (.f64 c a)))))) (neg.f64 (neg.f64 (fma.f64 (.f64 c a) (-.f64 (.f64 c a) (.f64 b_2 b_2)) (.f64 b_2 (.f64 b_2 (*.f64 b_2 b_2)))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (neg.f64 (neg.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 c a) (.f64 c a)) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))) (neg.f64 (-.f64 (.f64 c a) (.f64 b_2 b_2))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (-.f64 (.f64 b_2 b_2) (.f64 c a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (/.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (fma.f64 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (/.f64 (.f64 (.f64 c a) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (/.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (/.f64 (.f64 (.f64 c a) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (*.f64 c a)))))))
(pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1 binary64))
(pow.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (fma.f64 c a (.f64 b_2 b_2))) (.f64 (fma.f64 c a (.f64 b_2 b_2)) (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 1/4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal -1 binary64))
(pow.f64 (.f64 (.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (fma.f64 c a (.f64 b_2 b_2))) (.f64 (fma.f64 c a (.f64 b_2 b_2)) (fma.f64 c a (.f64 b_2 b_2)))) (.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (fma.f64 c a (.f64 b_2 b_2))) (.f64 (fma.f64 c a (.f64 b_2 b_2)) (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal 1/8 binary64))
(.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(.f64 (fma.f64 (.f64 b_2 b_2) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (.f64 (.f64 c a) (.f64 (.f64 c a) (.f64 c a)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 c a) (-.f64 (.f64 c a) (.f64 b_2 b_2)) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))))
(.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (*.f64 c a))))
(.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/4 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 b_2 b_2)))))
(.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (-.f64 (.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 b_2 (.f64 b_2 b_2))) (.f64 (.f64 c a) (.f64 (.f64 c a) (.f64 c a))))) (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 (.f64 c a) (fma.f64 c a (.f64 b_2 b_2)))))
(.f64 (/.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (fma.f64 c a (.f64 b_2 b_2)))
(.f64 (pow.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (.f64 b_2 b_2) (.f64 c a))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (*.f64 c a))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (.f64 b_2 b_2) (.f64 c a)))) #s(literal 1 binary64)) (fma.f64 c a (.f64 b_2 b_2)))
(.f64 (pow.f64 (fma.f64 (.f64 b_2 b_2) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (.f64 (.f64 c a) (.f64 (.f64 c a) (.f64 c a)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 c a) (-.f64 (.f64 c a) (.f64 b_2 b_2)) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (-.f64 (.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 b_2 (.f64 b_2 b_2))) (.f64 (.f64 c a) (.f64 (.f64 c a) (.f64 c a))))) #s(literal 1 binary64)) (pow.f64 (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 (.f64 c a) (fma.f64 c a (.f64 b_2 b_2)))) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))
(.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 b_2 (.f64 b_2 b_2))) (.f64 (.f64 c a) (.f64 (.f64 c a) (.f64 c a))))) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 (.f64 c a) (fma.f64 c a (*.f64 b_2 b_2)))))))
(.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (/.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (.f64 b_2 b_2) (.f64 c a))))) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (-.f64 (.f64 b_2 b_2) (.f64 c a))))
(.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (/.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (fma.f64 (.f64 b_2 b_2) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (.f64 (.f64 c a) (.f64 (.f64 c a) (.f64 c a)))))) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (fma.f64 (.f64 c a) (-.f64 (.f64 c a) (.f64 b_2 b_2)) (.f64 b_2 (.f64 b_2 (*.f64 b_2 b_2))))))

eval257.0ms (2.6%)

Memory: 58.6MiB live, 387.2MiB allocated
Compiler: Compiled 40 312 to 3 870 computations (90.4% saved)

prune195.0ms (2%)

Memory

-47.4MiB live, 387.7MiB allocated

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	1 545	17	1 562
Fresh	3	5	8
Picked	3	2	5
Done	0	1	1
Total	1 551	25	1 576

Accuracy

92.3%

Counts

1 576 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.6%	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (fma.f64 (/.f64 c (.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64))))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64))))))) a)
	13.2%	(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (fma.f64 (/.f64 c (.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64))))) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64))))))))
	34.0%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64))))) b_2) a)
	22.5%	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))) #s(literal 1/4 binary64))) a)
	16.5%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (fma.f64 b_2 b_2 (.f64 a c))))))) a)
	19.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 (.f64 b_2 b_2)) (/.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (fma.f64 b_2 b_2 (*.f64 a c))))))) a)
✓	46.9%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	33.7%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 b_2 (fma.f64 (/.f64 c (*.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64))) b_2)))) a)
▶	34.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (.f64 b_2 b_2) c)))))))) a)
	24.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
	30.4%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c))))) a)
	9.7%	(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 a (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) b_2))) a)
	9.1%	(/.f64 #s(approx (+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)) (/.f64 (.f64 a (.f64 c #s(literal 1/2 binary64))) b_2)) a)
	34.7%	(/.f64 #s(approx (+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)) (*.f64 b_2 #s(literal -2 binary64))) a)
✓	27.6%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2)) a)
	30.9%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) a)) a)
▶	27.6%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 c a) (/.f64 #s(literal -1/2 binary64) b_2))) a)
	27.5%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
	33.9%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64))))) b_2)))
	33.9%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64))))) b_2))
▶	9.2%	#s(approx (/ (+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
▶	37.2%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 a (/.f64 (*.f64 (/.f64 c b_2) c) b_2)))) b_2))
▶	37.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
	37.6%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c)))
✓	37.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))

Compiler

Compiled 1 004 to 524 computations (47.8% saved)

simplify176.0ms (1.8%)

Memory

-3.3MiB live, 183.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (.f64 b_2 b_2) c)))))))) a)
cost-diff	128	(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (.f64 b_2 b_2) c))))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 b_2) c))
cost-diff	1344	(.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (.f64 b_2 b_2) c)))))
cost-diff	0	(/.f64 (fma.f64 c #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 a (/.f64 (*.f64 (/.f64 c b_2) c) b_2)))) b_2)
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 a (/.f64 (*.f64 (/.f64 c b_2) c) b_2)))) b_2))
cost-diff	320	(fma.f64 c #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 a (/.f64 (*.f64 (/.f64 c b_2) c) b_2))))
cost-diff	384	(/.f64 (*.f64 (/.f64 c b_2) c) b_2)
cost-diff	0	(*.f64 c a)
cost-diff	0	(.f64 (.f64 c a) (/.f64 #s(literal -1/2 binary64) b_2))
cost-diff	0	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 c a) (/.f64 #s(literal -1/2 binary64) b_2)))
cost-diff	0	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 c a) (/.f64 #s(literal -1/2 binary64) b_2))) a)
cost-diff	0	(*.f64 c #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
cost-diff	0	#s(approx (/ (+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
cost-diff	0	(*.f64 c #s(literal -1/2 binary64))
cost-diff	0	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))

Rules

4 658×	`lower-fma.f32`
4 656×	`lower-fma.f64`
3 788×	`lower-*.f32`
3 768×	`lower-*.f64`
2 712×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	385
0	76	377
1	135	358
2	282	356
3	806	353
4	2832	329
5	4020	329
6	6985	329
0	8471	324

Stop Event

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

Calls

Call 1

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

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

localize171.0ms (1.7%)

Memory

32.3MiB live, 268.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	8.464933549418449	(.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (.f64 b_2 b_2) c)))))
accuracy	10.151706343786598	(/.f64 (*.f64 b_2 b_2) c)
accuracy	14.690452127976497	(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (.f64 b_2 b_2) c))))))))
accuracy	26.740289425988866	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (.f64 b_2 b_2) c)))))))
accuracy	0.2632270811486387	(/.f64 (fma.f64 c #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 a (/.f64 (*.f64 (/.f64 c b_2) c) b_2)))) b_2)
accuracy	4.3899412940537825	(/.f64 (*.f64 (/.f64 c b_2) c) b_2)
accuracy	5.486539670590758	(.f64 a (/.f64 (.f64 (/.f64 c b_2) c) b_2))
accuracy	39.97874600418163	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 a (/.f64 (*.f64 (/.f64 c b_2) c) b_2)))) b_2))
accuracy	0	(*.f64 c a)
accuracy	4.570443630506971	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 c a) (/.f64 #s(literal -1/2 binary64) b_2))) a)
accuracy	6.25673264452114	(.f64 (.f64 c a) (/.f64 #s(literal -1/2 binary64) b_2))
accuracy	39.72812562374046	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 c a) (/.f64 #s(literal -1/2 binary64) b_2)))
accuracy	0	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
accuracy	0	(*.f64 c #s(literal 1/2 binary64))
accuracy	39.87661226866695	#s(approx (/ (+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
accuracy	0	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
accuracy	0	(*.f64 c #s(literal -1/2 binary64))
accuracy	39.80955389148372	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))

Samples

49.0ms	165×	0	valid
35.0ms	37×	2	valid
25.0ms	48×	1	valid
13.0ms	6×	3	valid

Compiler

Compiled 280 to 41 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-pow: 26.0ms (29.1% of total)

ival-div: 18.0ms (20.1% of total)

ival-mult: 18.0ms (20.1% of total)

adjust: 12.0ms (13.4% of total)

ival-add: 7.0ms (7.8% of total)

ival-sub: 3.0ms (3.4% of total)

ival-sqrt: 3.0ms (3.4% of total)

exact: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

series27.0ms (0.3%)

Memory

-28.6MiB live, 24.7MiB allocated

Counts

21 → 636

Calls

Call 1

Inputs
#<alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))>
#<alt (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)>
#<alt (*.f64 c #s(literal -1/2 binary64))>
#<alt #s(approx (/ (+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))>
#<alt (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)>
#<alt (*.f64 c #s(literal 1/2 binary64))>
#<alt (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 c a) (/.f64 #s(literal -1/2 binary64) b_2))) a)>
#<alt #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 c a) (/.f64 #s(literal -1/2 binary64) b_2)))>
#<alt (.f64 (.f64 c a) (/.f64 #s(literal -1/2 binary64) b_2))>
#<alt (*.f64 c a)>
#<alt (/.f64 (*.f64 (/.f64 c b_2) c) b_2)>
#<alt (fma.f64 c #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 a (/.f64 (*.f64 (/.f64 c b_2) c) b_2))))>
#<alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 a (/.f64 (*.f64 (/.f64 c b_2) c) b_2)))) b_2))>
#<alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 a (/.f64 (*.f64 (/.f64 c b_2) c) b_2)))) b_2)>
#<alt (.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (.f64 b_2 b_2) c)))))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 b_2) c))>
#<alt (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (.f64 b_2 b_2) c))))))))>
#<alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (.f64 b_2 b_2) c)))))))) a)>
#<alt (.f64 a (/.f64 (.f64 (/.f64 c b_2) c) b_2))>
#<alt (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (.f64 b_2 b_2) c)))))))>
#<alt (/.f64 (*.f64 b_2 b_2) c)>

Outputs
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))>
#<alt (+ (* -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))))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (sqrt (/ c a))>
#<alt (+ (sqrt (/ c a)) (* -1 (/ b_2 a)))>
#<alt (+ (sqrt (/ c a)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) b_2)) (/ 1 a))))>
#<alt (+ (sqrt (/ c a)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* (pow a 3) c)))))) (/ 1 a))))>
#<alt (* 1/2 (/ c b_2))>
#<alt (/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)>
#<alt (/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c))) b_2)>
#<alt (/ (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c)))) b_2)>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))))>
#<alt (* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))>
#<alt (* 1/2 (/ c b_2))>
#<alt (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))>
#<alt (+ (* 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))))))>
#<alt (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow c 3) (pow b_2 5))))))))>
#<alt (sqrt (/ c a))>
#<alt (+ (sqrt (/ c a)) (* -1 (/ b_2 a)))>
#<alt (+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))>
#<alt (+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))>
#<alt (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2)))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (pow b_2 2))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2))))) a))) a)))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* c (+ (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* 1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))>
#<alt (sqrt (/ c a))>
#<alt (* c (+ (sqrt (/ 1 (* a c))) (* -1 (/ b_2 (* a c)))))>
#<alt (* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))))))>
#<alt (* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2)))))))>
#<alt (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (pow b_2 2)))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 c)>
#<alt (* 1/2 c)>
#<alt (* 1/2 c)>
#<alt (* 1/2 c)>
#<alt (* 1/2 c)>
#<alt (* 1/2 c)>
#<alt (* 1/2 c)>
#<alt (* 1/2 c)>
#<alt (* 1/2 c)>
#<alt (* 1/2 c)>
#<alt (* 1/2 c)>
#<alt (* 1/2 c)>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))>
#<alt (+ (* -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))))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
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#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (pow b_2 2)>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (* -1 (* a c))>
#<alt (* a (+ (* -1 c) (/ (pow b_2 2) a)))>
#<alt (* a (+ (* -1 c) (/ (pow b_2 2) a)))>
#<alt (* a (+ (* -1 c) (/ (pow b_2 2) a)))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))>
#<alt (* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))>
#<alt (* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))>
#<alt (pow b_2 2)>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (* -1 (* a c))>
#<alt (* c (+ (* -1 a) (/ (pow b_2 2) c)))>
#<alt (* c (+ (* -1 a) (/ (pow b_2 2) c)))>
#<alt (* c (+ (* -1 a) (/ (pow b_2 2) c)))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))>
#<alt (* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))>
#<alt (* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* 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)))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -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)>
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 b_2)>
#<alt (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))>
#<alt (* 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)))))))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))>
#<alt (* 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)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -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)))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))>
#<alt (* 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)))))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))>
#<alt (* 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)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -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)))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))>
#<alt (+ (* -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))))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (/ (* a (pow c 2)) (pow b_2 2))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt b_2>
#<alt (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))>
#<alt (* 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)))))))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -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))))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))>
#<alt (+ 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))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))>
#<alt (+ 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))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>

Calls

159 calls:

Time	Variable		Point	Expression
0.0ms	c	@	-inf	(* c -1/2)
0.0ms	c	@	0	(/ (* b_2 b_2) c)
0.0ms	b_2	@	0	(/ (* b_2 b_2) c)
0.0ms	c	@	-inf	(/ (* b_2 b_2) c)
0.0ms	b_2	@	inf	(/ (* b_2 b_2) c)

simplify718.0ms (7.2%)

Memory

-64.3MiB live, 576.2MiB allocated

Algorithm

1×	egg-herbie

Rules

16 496×	`lower-fma.f64`
16 496×	`lower-fma.f32`
8 138×	`lower-*.f64`
8 138×	`lower-*.f32`
3 896×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	679	10141
1	2146	9964
2	7032	9916
0	8039	9531

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 633

Calls

Call 1

Inputs
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -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))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1/2 (/ c b_2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(sqrt (/ c a))
(+ (sqrt (/ c a)) (* -1 (/ b_2 a)))
(+ (sqrt (/ c a)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) b_2)) (/ 1 a))))
(+ (sqrt (/ c a)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* (pow a 3) c)))))) (/ 1 a))))
(* 1/2 (/ c b_2))
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c))) b_2)
(/ (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c)))) b_2)
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
(* 1/2 (/ c b_2))
(+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))
(+ (* 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))))))
(+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow c 3) (pow b_2 5))))))))
(sqrt (/ c a))
(+ (sqrt (/ c a)) (* -1 (/ b_2 a)))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2)))) a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (pow b_2 2))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2))))) a))) a)))
(* 1/2 (/ c b_2))
(* c (+ (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* 1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(sqrt (/ c a))
(* c (+ (sqrt (/ 1 (* a c))) (* -1 (/ b_2 (* a c)))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2)))))))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (pow b_2 2)))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -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))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1/2 (/ c b_2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* 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)))
(* -1/2 (/ (* a c) b_2))
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -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)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* 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)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -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)))))
(* -1/2 (/ (* a c) b_2))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* 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)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* 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)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -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)))))
(* -1/2 (/ (* a c) b_2))
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(* -1/2 (/ (* a c) b_2))
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(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
(/ (pow c 2) (pow b_2 2))
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(* c (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2))
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(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* a (+ (* -1/2 (/ c a)) (* -1/8 (/ (pow c 2) (pow b_2 2)))))
(* a (+ (* -1/2 (/ c a)) (* -1/8 (/ (pow c 2) (pow b_2 2)))))
(* a (+ (* -1/2 (/ c a)) (* -1/8 (/ (pow c 2) (pow b_2 2)))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 2))) (* 1/2 (/ c a)))))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 2))) (* 1/2 (/ c a)))))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 2))) (* 1/2 (/ c a)))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 2))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 2))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 2))
(* -1/2 c)
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))
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(* -1/2 c)
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(* (sqrt (/ c a)) (sqrt -1))
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(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 (/ b_2 a))
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(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1/2 (/ c b_2))
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(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
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(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
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(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
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(* -1/2 (/ c b_2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(* -1/2 (/ c b_2))
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(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (* a c))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* a (+ (* -1 c) (/ (pow b_2 2) a)))
(* a (+ (* -1 c) (/ (pow b_2 2) a)))
(* a (+ (* -1 c) (/ (pow b_2 2) a)))
(* -1 (* a c))
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(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* c (+ (* -1 a) (/ (pow b_2 2) c)))
(* c (+ (* -1 a) (/ (pow b_2 2) c)))
(* c (+ (* -1 a) (/ (pow b_2 2) c)))
(* -1 (* a c))
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(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* 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)))
(* -1/2 (/ (* a c) b_2))
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -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)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* 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)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -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)))))
(* -1/2 (/ (* a c) b_2))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* 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)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* 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)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -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)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -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))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1/2 (/ c b_2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(/ (* a (pow c 2)) (pow b_2 2))
(* (sqrt (* a c)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (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)))))))
(+ (* (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)))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* 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)))))))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -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 (* 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))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ 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))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* 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)))))
(* 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))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -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))))))
(* -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)))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ 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))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* 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)))))
(* 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))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -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))))))
(* -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)))))))
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)

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

rewrite429.0ms (4.3%)

Memory

-3.8MiB live, 421.2MiB allocated

Rules

6 092×	`lower-fma.f32`
6 090×	`lower-fma.f64`
4 416×	`lower-*.f32`
4 396×	`lower-*.f64`
4 242×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	296
0	76	282
1	287	261
2	1999	260
0	8426	259

Stop Event

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

Counts

21 → 564

Calls

Call 1

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

Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 c (*.f64 b_2 #s(literal -2 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 b_2 (.f64 c #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 b_2)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
(-.f64 (/.f64 #s(literal 0 binary64) b_2) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 b_2))) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
(neg.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
(/.f64 c (*.f64 b_2 #s(literal -2 binary64)))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) (neg.f64 (neg.f64 b_2)))
(/.f64 (*.f64 c #s(literal 1/2 binary64)) (neg.f64 b_2))
(/.f64 (*.f64 c #s(literal 1/2 binary64)) (neg.f64 (neg.f64 (neg.f64 b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (neg.f64 c) (neg.f64 (*.f64 b_2 #s(literal -2 binary64))))
(/.f64 (.f64 c #s(literal 1 binary64)) (.f64 b_2 #s(literal -2 binary64)))
(/.f64 (.f64 (.f64 c #s(literal -1/2 binary64)) #s(literal 1 binary64)) b_2)
(/.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) #s(literal 1 binary64)) b_2)
(/.f64 (neg.f64 (.f64 c #s(literal 1 binary64))) (neg.f64 (.f64 b_2 #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 c #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 b_2))
(/.f64 (neg.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 b_2))
(pow.f64 (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(.f64 (.f64 c #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) b_2))
(*.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 c) b_2))
(.f64 (.f64 c #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 b_2)))
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c #s(literal 1 binary64)))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (/.f64 c (.f64 b_2 #s(literal -2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) b_2) (.f64 c #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) b_2) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 c #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 c #s(literal -1 binary64)))
(*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 (/.f64 (neg.f64 c) b_2) #s(literal 1/2 binary64))
(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) b_2))
(.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 (.f64 c #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 c #s(literal 1/2 binary64)))
(neg.f64 (*.f64 c #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 c #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 c c) (.f64 #s(literal 0 binary64) (.f64 c #s(literal 1/2 binary64))))))
(*.f64 c #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) c)
(*.f64 #s(literal 1/2 binary64) (neg.f64 c))
(.f64 #s(literal -1 binary64) (.f64 c #s(literal 1/2 binary64)))
(*.f64 (neg.f64 c) #s(literal 1/2 binary64))
#s(approx (/ (+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
(exp.f64 (.f64 (log.f64 (/.f64 b_2 (.f64 c #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 b_2)) (/.f64 c (*.f64 b_2 #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) b_2) (/.f64 c (*.f64 b_2 #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 b_2))) (/.f64 c (*.f64 b_2 #s(literal -2 binary64))))
(neg.f64 (/.f64 c (*.f64 b_2 #s(literal -2 binary64))))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) (neg.f64 b_2))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) (neg.f64 (neg.f64 (neg.f64 b_2))))
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) (neg.f64 (neg.f64 b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 c #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b_2 (*.f64 c #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 b_2 (*.f64 c #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b_2 (*.f64 c #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b_2 (*.f64 c #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 c #s(literal 1/2 binary64)) #s(literal 1 binary64)) b_2)
(/.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) #s(literal -1 binary64)) b_2)
(/.f64 (neg.f64 (.f64 (.f64 c #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 b_2))
(/.f64 (neg.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) #s(literal -1 binary64))) (neg.f64 b_2))
(pow.f64 (/.f64 b_2 (*.f64 c #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 b_2 (*.f64 c #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 c) b_2))
(.f64 (.f64 c #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 b_2)))
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
(.f64 (.f64 c #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) b_2))
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c #s(literal -1 binary64)))
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2))
(.f64 (/.f64 #s(literal 1 binary64) b_2) (.f64 c #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) b_2) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 c #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 c #s(literal 1 binary64)))
(*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) b_2))
(*.f64 (/.f64 (neg.f64 c) b_2) #s(literal -1/2 binary64))
(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2))
(.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 (.f64 c #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 c #s(literal -1/2 binary64)))
(neg.f64 (*.f64 c #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal -1/8 binary64) (.f64 c (.f64 c c)))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/4 binary64) (.f64 c c) (.f64 #s(literal 0 binary64) (.f64 c #s(literal -1/2 binary64))))))
(*.f64 c #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (neg.f64 c))
(*.f64 #s(literal 1/2 binary64) c)
(.f64 #s(literal -1 binary64) (.f64 c #s(literal -1/2 binary64)))
(*.f64 (neg.f64 c) #s(literal -1/2 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2)) (neg.f64 a)))
(neg.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2)) (neg.f64 a)))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2))) a))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2)) a)
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2))) #s(literal 1 binary64))))
(/.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2))) (neg.f64 a))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2)))) (neg.f64 (neg.f64 a)))
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(.f64 (/.f64 (fma.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 (.f64 b_2 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2))))))) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 (.f64 b_2 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2)))))))) (.f64 b_2 (.f64 b_2 b_2))) a) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (+.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 (.f64 b_2 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2))))))) (.f64 b_2 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 (.f64 b_2 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2)))))))))))) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 (.f64 b_2 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2))))))) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 (.f64 b_2 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2)))))))) (.f64 b_2 (.f64 b_2 b_2))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (+.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 (.f64 b_2 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2))))))) (.f64 b_2 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 (.f64 b_2 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2)))))))))))) a))
(.f64 (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 (.f64 b_2 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2)))))))) a) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 (.f64 b_2 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2)))))))))) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 (.f64 b_2 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2)))))))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 (.f64 b_2 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2)))))))))) a))
(.f64 (/.f64 (fma.f64 b_2 b_2 (+.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 (.f64 b_2 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2))))))) (.f64 b_2 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 (.f64 b_2 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2))))))))))) a) (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 (.f64 b_2 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2)))))))) b_2) (fma.f64 b_2 b_2 (+.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 (.f64 b_2 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2))))))) (.f64 b_2 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 (.f64 b_2 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2)))))))))))))
(/.f64 a (.f64 (/.f64 b_2 (.f64 c c)) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (/.f64 (.f64 a (.f64 c c)) b_2)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b_2 (/.f64 (.f64 a (.f64 c c)) b_2))))
(/.f64 (neg.f64 a) (neg.f64 (.f64 (/.f64 b_2 (.f64 c c)) b_2)))
(/.f64 (/.f64 (.f64 a (.f64 c c)) b_2) b_2)
(/.f64 (neg.f64 (/.f64 (.f64 a (.f64 c c)) b_2)) (neg.f64 b_2))
(/.f64 (.f64 a (neg.f64 (/.f64 (.f64 c c) b_2))) (neg.f64 b_2))
(/.f64 (.f64 (neg.f64 (/.f64 (.f64 c c) b_2)) a) (neg.f64 b_2))
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 a (.f64 c c)) b_2))) (neg.f64 (neg.f64 b_2)))
(/.f64 (neg.f64 (.f64 a (neg.f64 (/.f64 (.f64 c c) b_2)))) (neg.f64 (neg.f64 b_2)))
(/.f64 (neg.f64 (.f64 (neg.f64 (/.f64 (.f64 c c) b_2)) a)) (neg.f64 (neg.f64 b_2)))
(pow.f64 (/.f64 b_2 (/.f64 (.f64 a (.f64 c c)) b_2)) #s(literal -1 binary64))
(.f64 a (.f64 c (/.f64 c (*.f64 b_2 b_2))))
(.f64 (/.f64 c b_2) (.f64 (/.f64 c b_2) a))
(.f64 (/.f64 (.f64 c c) b_2) (/.f64 a b_2))
(.f64 (/.f64 (.f64 c c) b_2) (*.f64 (/.f64 #s(literal 1 binary64) b_2) a))
(.f64 (.f64 c (/.f64 c (*.f64 b_2 b_2))) a)
(.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (.f64 c c) b_2))))
(.f64 (/.f64 (.f64 a (*.f64 c c)) b_2) (/.f64 #s(literal 1 binary64) b_2))
(.f64 (/.f64 a b_2) (/.f64 (neg.f64 (/.f64 (.f64 c c) b_2)) #s(literal -1 binary64)))
(.f64 (/.f64 a b_2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 c c) b_2))))
(.f64 (/.f64 (neg.f64 (/.f64 (.f64 c c) b_2)) b_2) (/.f64 a #s(literal -1 binary64)))
(.f64 (.f64 a (/.f64 c b_2)) (/.f64 c b_2))
(.f64 (/.f64 (neg.f64 (/.f64 (.f64 c c) b_2)) #s(literal -1 binary64)) (/.f64 a b_2))
(.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 (neg.f64 (/.f64 (.f64 c c) b_2)) b_2))
(.f64 (/.f64 a (/.f64 b_2 (.f64 c c))) (/.f64 #s(literal 1 binary64) b_2))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 (.f64 b_2 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2))))))))))
(fabs.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 (.f64 b_2 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2)))))))))
(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 (.f64 b_2 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2))))))))
(pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 (.f64 b_2 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2))))))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 (.f64 b_2 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2)))))))) #s(literal 1 binary64))
(pow.f64 (.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 (.f64 b_2 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2))))))) #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 (.f64 b_2 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2)))))))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 (.f64 b_2 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2))))))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 (.f64 b_2 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2))))))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 (.f64 b_2 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2))))))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 b_2 (.f64 b_2 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2))))))))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 (.f64 b_2 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2))))))))))
(exp.f64 (.f64 (log.f64 (/.f64 c (.f64 b_2 b_2))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (*.f64 b_2 b_2) c)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 (/.f64 (.f64 b_2 b_2) c)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 b_2 b_2) c) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (neg.f64 (/.f64 (*.f64 b_2 b_2) c)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) (neg.f64 c))) (/.f64 (.f64 b_2 b_2) (*.f64 #s(literal 1 binary64) (neg.f64 c))))
(neg.f64 (neg.f64 (/.f64 (*.f64 b_2 b_2) c)))
(/.f64 (*.f64 b_2 b_2) c)
(/.f64 (.f64 b_2 b_2) (.f64 #s(literal 1 binary64) c))
(/.f64 (*.f64 b_2 b_2) (neg.f64 (neg.f64 c)))
(/.f64 (.f64 b_2 b_2) (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 c))))
(/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 b_2 b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 c (*.f64 b_2 b_2)))))
(/.f64 (/.f64 (*.f64 b_2 b_2) c) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (*.f64 b_2 b_2))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (/.f64 (*.f64 b_2 b_2) c)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 b_2 b_2)) (neg.f64 c))
(/.f64 (neg.f64 (.f64 b_2 b_2)) (.f64 #s(literal 1 binary64) (neg.f64 c)))
(/.f64 (neg.f64 (.f64 b_2 b_2)) (neg.f64 (.f64 #s(literal 1 binary64) c)))
(/.f64 (neg.f64 (*.f64 b_2 b_2)) (neg.f64 (neg.f64 (neg.f64 c))))
(pow.f64 (/.f64 (*.f64 b_2 b_2) c) #s(literal 1 binary64))
(pow.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 b_2 (/.f64 b_2 c))
(*.f64 b_2 (/.f64 (/.f64 b_2 c) #s(literal 1 binary64)))
(.f64 (.f64 b_2 b_2) (/.f64 #s(literal 1 binary64) c))
(.f64 (.f64 b_2 b_2) (/.f64 (/.f64 #s(literal 1 binary64) c) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 b_2 b_2) c))
(.f64 (/.f64 (.f64 b_2 b_2) c) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 b_2 b_2) c)))
(.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 (.f64 b_2 b_2) c)) #s(literal -1 binary64)))
(.f64 (neg.f64 (.f64 b_2 b_2)) (/.f64 #s(literal 1 binary64) (neg.f64 c)))
(*.f64 (/.f64 b_2 c) b_2)
(.f64 (/.f64 #s(literal 1 binary64) c) (.f64 b_2 b_2))
(.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 b_2 b_2)) #s(literal -1 binary64)))
(*.f64 (/.f64 b_2 #s(literal 1 binary64)) (/.f64 b_2 c))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 b_2 b_2)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) c))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 b_2 b_2)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) c)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) b_2) #s(literal -1 binary64)) (/.f64 b_2 c))
(.f64 (pow.f64 (pow.f64 (/.f64 (.f64 b_2 b_2) c) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (*.f64 b_2 b_2) c) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 b_2 b_2)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 c)))
(*.f64 (/.f64 b_2 #s(literal -1 binary64)) (/.f64 (neg.f64 b_2) c))
(*.f64 (/.f64 (neg.f64 b_2) #s(literal 1 binary64)) (/.f64 b_2 (neg.f64 c)))
(*.f64 (/.f64 (neg.f64 b_2) #s(literal 1 binary64)) (/.f64 (neg.f64 b_2) c))
(.f64 (/.f64 (.f64 (neg.f64 b_2) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 b_2 c))

eval179.0ms (1.8%)

Memory: -14.5MiB live, 303.5MiB allocated
Compiler: Compiled 27 709 to 2 934 computations (89.4% saved)

prune161.0ms (1.6%)

Memory

20.3MiB live, 295.8MiB allocated

Pruning

26 alts after pruning (18 fresh and 8 done)

	Pruned	Kept	Total
New	1 191	6	1 197
Fresh	5	12	17
Picked	0	5	5
Done	0	3	3
Total	1 196	26	1 222

Accuracy

92.3%

Counts

1 222 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.2%	(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (fma.f64 (/.f64 c (.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64))))) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64))))))))
	33.7%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 (.f64 b_2 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2)))))))) b_2) a)
	22.5%	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))))) #s(literal 1/4 binary64))) a)
	16.5%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (fma.f64 b_2 b_2 (.f64 a c))))))) a)
▶	19.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 (.f64 b_2 b_2)) (/.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (fma.f64 b_2 b_2 (*.f64 a c))))))) a)
✓	46.9%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	34.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (.f64 b_2 b_2) c)))))))) a)
	33.6%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 #s(literal 1 binary64) (.f64 (/.f64 b_2 c) b_2)))))))) a)
	33.6%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (.f64 a (.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 #s(literal 1 binary64) c))))))))) a)
	24.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
	30.4%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c))))) a)
	9.7%	(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 c (*.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) b_2))) a)
	34.7%	(/.f64 #s(approx (+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)) (*.f64 b_2 #s(literal -2 binary64))) a)
✓	27.6%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2)) a)
▶	30.9%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) a)) a)
✓	27.6%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 c a) (/.f64 #s(literal -1/2 binary64) b_2))) a)
	27.5%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
	33.9%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64))))) b_2)))
▶	33.9%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64))))) b_2))
✓	9.2%	#s(approx (/ (+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
▶	9.2%	#s(approx (/ (+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))
✓	37.2%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 a (/.f64 (*.f64 (/.f64 c b_2) c) b_2)))) b_2))
✓	37.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
▶	37.6%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c)))
✓	37.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
	16.1%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (exp.f64 (.f64 (log.f64 (/.f64 b_2 (.f64 c #s(literal -1/2 binary64)))) #s(literal -1 binary64))))

Compiler

Compiled 924 to 500 computations (45.9% saved)

simplify204.0ms (2%)

Memory

-11.4MiB live, 225.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 (.f64 b_2 b_2)) (/.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (fma.f64 b_2 b_2 (*.f64 a c))))))) a)
cost-diff	128	(+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 (.f64 b_2 b_2)) (/.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (fma.f64 b_2 b_2 (*.f64 a c)))))))
cost-diff	1088	(fma.f64 (.f64 b_2 (.f64 b_2 b_2)) (/.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (fma.f64 b_2 b_2 (*.f64 a c)))))
cost-diff	0	(-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64))))) b_2)
cost-diff	0	(/.f64 #s(literal 1 binary64) a)
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64))))) b_2))
cost-diff	1344	(.f64 (.f64 b_2 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64)))
cost-diff	0	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
cost-diff	0	(.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) a)
cost-diff	0	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) a))
cost-diff	0	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) a)) a)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) b_2)
cost-diff	0	(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
cost-diff	0	#s(approx (/ (+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))
cost-diff	0	(*.f64 b_2 #s(literal -2 binary64))
cost-diff	0	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) c)
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c))

Rules

7 744×	`lower-fma.f32`
7 738×	`lower-fma.f64`
3 608×	`lower-*.f32`
3 584×	`lower-*.f64`
1 638×	`unsub-neg`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	56	471
0	91	457
1	171	435
2	391	435
3	1232	411
4	2779	411
5	4828	391
6	7687	391
0	8016	391

Stop Event

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

Calls

Call 1

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

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

localize241.0ms (2.4%)

Memory

0.2MiB live, 304.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	14.690452127976497	(+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 (.f64 b_2 b_2)) (/.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (fma.f64 b_2 b_2 (*.f64 a c)))))))
accuracy	23.709962802137024	(/.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c)))
accuracy	23.89744417695059	(/.f64 (.f64 a (.f64 a (.f64 c c))) (fma.f64 b_2 b_2 (.f64 a c)))
accuracy	26.740289425988866	(sqrt.f64 (fma.f64 (.f64 b_2 (.f64 b_2 b_2)) (/.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (fma.f64 b_2 b_2 (*.f64 a c))))))
accuracy	8.464933549418449	(.f64 (.f64 b_2 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64)))
accuracy	10.047833145539114	(/.f64 c (*.f64 b_2 b_2))
accuracy	14.690452127976497	(-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64))))) b_2)
accuracy	26.740289425988866	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64)))))
accuracy	0	(*.f64 c #s(literal -1/2 binary64))
accuracy	4.10922028881377	(.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) a)
accuracy	4.570443630506971	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) a)) a)
accuracy	39.72812562374046	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) a))
accuracy	0	(/.f64 #s(literal 1/2 binary64) b_2)
accuracy	0.1796875	(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
accuracy	39.87661226866695	#s(approx (/ (+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))
accuracy	0	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) c)
accuracy	0	(*.f64 b_2 #s(literal -2 binary64))
accuracy	0.33806377428206635	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c))
accuracy	39.80955389148372	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c)))

Samples

68.0ms	165×	0	valid
50.0ms	37×	2	valid
34.0ms	48×	1	valid
10.0ms	6×	3	valid

Compiler

Compiled 407 to 50 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

ival-pow: 32.0ms (26.1% of total)

ival-mult: 31.0ms (25.3% of total)

ival-div: 26.0ms (21.2% of total)

ival-add: 10.0ms (8.2% of total)

adjust: 9.0ms (7.3% of total)

ival-sqrt: 6.0ms (4.9% of total)

ival-sub: 4.0ms (3.3% of total)

ival-neg: 4.0ms (3.3% of total)

exact: 1.0ms (0.8% of total)

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

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

series113.0ms (1.1%)

Memory

-5.5MiB live, 66.0MiB allocated

Counts

25 → 720

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c))>
#<alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c)))>
#<alt (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c)>
#<alt (*.f64 b_2 #s(literal -2 binary64))>
#<alt #s(approx (/ (+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))>
#<alt (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)>
#<alt (/.f64 #s(literal 1/2 binary64) b_2)>
#<alt (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) a)) a)>
#<alt #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) a))>
#<alt (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) a)>
#<alt (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)>
#<alt (.f64 (.f64 b_2 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64)))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64))))) b_2))>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64))))) b_2)>
#<alt (fma.f64 (.f64 b_2 (.f64 b_2 b_2)) (/.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (fma.f64 b_2 b_2 (*.f64 a c)))))>
#<alt (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 (.f64 b_2 b_2)) (/.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (fma.f64 b_2 b_2 (*.f64 a c)))))))>
#<alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 (.f64 b_2 b_2)) (/.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (fma.f64 b_2 b_2 (*.f64 a c))))))) a)>
#<alt (neg.f64 b_2)>
#<alt (*.f64 c #s(literal -1/2 binary64))>
#<alt (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64)))))>
#<alt (/.f64 c (*.f64 b_2 b_2))>
#<alt (sqrt.f64 (fma.f64 (.f64 b_2 (.f64 b_2 b_2)) (/.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (fma.f64 b_2 b_2 (*.f64 a c))))))>
#<alt (/.f64 (.f64 a (.f64 a (.f64 c c))) (fma.f64 b_2 b_2 (.f64 a c)))>
#<alt (/.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c)))>

Outputs
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))>
#<alt (+ (* -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))))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -2 (/ b_2 c))>
#<alt (* -2 (/ b_2 c))>
#<alt (* -2 (/ b_2 c))>
#<alt (* -2 (/ b_2 c))>
#<alt (* -2 (/ b_2 c))>
#<alt (* -2 (/ b_2 c))>
#<alt (* -2 (/ b_2 c))>
#<alt (* -2 (/ b_2 c))>
#<alt (* -2 (/ b_2 c))>
#<alt (* -2 (/ b_2 c))>
#<alt (* -2 (/ b_2 c))>
#<alt (* -2 (/ b_2 c))>
#<alt (* -2 (/ b_2 c))>
#<alt (* -2 (/ b_2 c))>
#<alt (* -2 (/ b_2 c))>
#<alt (* -2 (/ b_2 c))>
#<alt (* -2 (/ b_2 c))>
#<alt (* -2 (/ b_2 c))>
#<alt (* -2 (/ b_2 c))>
#<alt (* -2 (/ b_2 c))>
#<alt (* -2 (/ b_2 c))>
#<alt (* -2 (/ b_2 c))>
#<alt (* -2 (/ b_2 c))>
#<alt (* -2 (/ b_2 c))>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (sqrt (/ c a))>
#<alt (+ (sqrt (/ c a)) (* -1 (/ b_2 a)))>
#<alt (+ (sqrt (/ c a)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) b_2)) (/ 1 a))))>
#<alt (+ (sqrt (/ c a)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* (pow a 3) c)))))) (/ 1 a))))>
#<alt (* 1/2 (/ c b_2))>
#<alt (/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)>
#<alt (/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c))) b_2)>
#<alt (/ (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c)))) b_2)>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))))>
#<alt (* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))>
#<alt (* 1/2 (/ c b_2))>
#<alt (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))>
#<alt (+ (* 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))))))>
#<alt (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow c 3) (pow b_2 5))))))))>
#<alt (sqrt (/ c a))>
#<alt (+ (sqrt (/ c a)) (* -1 (/ b_2 a)))>
#<alt (+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))>
#<alt (+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))>
#<alt (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2)))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (pow b_2 2))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2))))) a))) a)))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* c (+ (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* 1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))>
#<alt (sqrt (/ c a))>
#<alt (* c (+ (sqrt (/ 1 (* a c))) (* -1 (/ b_2 (* a c)))))>
#<alt (* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))))))>
#<alt (* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2)))))))>
#<alt (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (pow b_2 2)))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (/ 1/2 b_2)>
#<alt (/ 1/2 b_2)>
#<alt (/ 1/2 b_2)>
#<alt (/ 1/2 b_2)>
#<alt (/ 1/2 b_2)>
#<alt (/ 1/2 b_2)>
#<alt (/ 1/2 b_2)>
#<alt (/ 1/2 b_2)>
#<alt (/ 1/2 b_2)>
#<alt (/ 1/2 b_2)>
#<alt (/ 1/2 b_2)>
#<alt (/ 1/2 b_2)>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))>
#<alt (+ (* -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))))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* 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)))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -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)>
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#<alt (* a (- (/ (pow b_2 2) a) c))>
#<alt (* a (- (+ (* -1 (/ (pow b_2 4) (* (pow a 2) c))) (+ (/ (pow b_2 2) a) (/ (pow b_2 4) (* (pow a 2) c)))) c))>
#<alt (* a (- (+ (* -1 (/ (pow b_2 4) (* (pow a 2) c))) (+ (/ (pow b_2 2) a) (/ (pow b_2 4) (* (pow a 2) c)))) c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) a)) (pow b_2 2)) a)) (* -1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) a)) (pow b_2 2)) a)) (* -1 c))))>
#<alt (pow b_2 2)>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) a)) (pow b_2 2))>
#<alt (+ (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) a)) (pow b_2 2))>
#<alt (* -1 (* a c))>
#<alt (* c (- (/ (pow b_2 2) c) a))>
#<alt (* c (- (+ (* -1 (/ (pow b_2 4) (* a (pow c 2)))) (+ (/ (pow b_2 2) c) (/ (pow b_2 4) (* a (pow c 2))))) a))>
#<alt (* c (- (+ (* -1 (/ (pow b_2 4) (* a (pow c 2)))) (+ (/ (pow b_2 2) c) (/ (pow b_2 4) (* a (pow c 2))))) a))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) c)) (pow b_2 2)) c)) (* -1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) c)) (pow b_2 2)) c)) (* -1 a))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* 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)))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (/ (+ (* -1/2 (* a c)) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 2))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 2))) (+ (* -1/2 (/ (+ (* 1/4 (* (pow a 2) (* (pow c 2) (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))))) (* 1/4 (pow (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) 2))) (pow b_2 6))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 4)))))) b_2)>
#<alt (* -2 b_2)>
#<alt (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 6))))))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* -1/2 (/ (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) b_2))))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))))) (pow b_2 3)))))))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* a (+ (* -1/2 (/ (* a (+ (* 1/4 (/ (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 4))) (* 1/4 (/ (pow (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) 2) (pow b_2 2))))) b_2)) (* -1/4 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 3)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c))))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* -1/2 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) b_2))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))))) (pow b_2 3)))))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) b_2)) (* c (+ (* -1/2 (/ (* c (+ (* 1/4 (/ (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 4))) (* 1/4 (/ (pow (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) 2) (pow b_2 2))))) b_2)) (* -1/4 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 3)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a))))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (/ (+ (* -1/2 c) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 2))))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 2)))) (* -1/4 (/ (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 2)))) (+ (* -1/2 (/ (+ (* 1/4 (* (pow a 2) (* (pow c 2) (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))))) (* 1/4 (pow (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) 2))) (* a (pow b_2 6)))) (* -1/4 (/ (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))) (pow b_2 4)))))) b_2)>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 4)))) (* 2 (/ 1 a))))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 4)))) (+ (* -1/4 (/ (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))) (pow b_2 6))) (* 2 (/ 1 a)))))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (+ (* -1/2 (/ c b_2)) (* -1/2 (/ (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) b_2)))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))))) (pow b_2 3))))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* a (+ (* -1/2 (/ (* a (+ (* 1/4 (/ (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 4))) (* 1/4 (/ (pow (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) 2) (pow b_2 2))))) b_2)) (* -1/4 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)))))) a))) a)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* c (- (* -1/2 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (* a b_2))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (* a b_2))) (* -1/4 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 3))))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (* a b_2))) (* c (+ (* -1/2 (/ (* c (+ (* 1/4 (/ (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 4))) (* 1/4 (/ (pow (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) 2) (pow b_2 2))))) (* a b_2))) (* -1/4 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (pow b_2 3))))))) (* 1/2 (/ 1 b_2))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a))))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt b_2>
#<alt (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))>
#<alt (* 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)))))))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -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))))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))>
#<alt (+ 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))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))>
#<alt (+ 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))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -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))))))>
#<alt (* -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)))))))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt b_2>
#<alt (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 6)))))))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 6))))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/2 (/ (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) b_2)))))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))))) (pow b_2 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* 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)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)))))) (pow a 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/2 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) b_2)))))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))))) (pow b_2 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* 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)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a))))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)))))) (pow c 3))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b_2 2))>
#<alt (* (pow a 2) (+ (* -1 (/ (* a (pow c 3)) (pow b_2 4))) (/ (pow c 2) (pow b_2 2))))>
#<alt (* (pow a 2) (+ (* a (- (/ (* a (pow c 4)) (pow b_2 6)) (/ (pow c 3) (pow b_2 4)))) (/ (pow c 2) (pow b_2 2))))>
#<alt (* (pow a 2) (+ (* a (- (* a (- (* -1 (/ (* a (pow c 5)) (pow b_2 8))) (* -1 (/ (pow c 4) (pow b_2 6))))) (/ (pow c 3) (pow b_2 4)))) (/ (pow c 2) (pow b_2 2))))>
#<alt (* a c)>
#<alt (* a (+ c (* -1 (/ (pow b_2 2) a))))>
#<alt (* a (- (+ c (/ (pow b_2 4) (* (pow a 2) c))) (/ (pow b_2 2) a)))>
#<alt (* a (- (+ c (* -1 (/ (pow b_2 6) (* (pow a 3) (pow c 2))))) (+ (* -1 (/ (pow b_2 4) (* (pow a 2) c))) (/ (pow b_2 2) a))))>
#<alt (* a c)>
#<alt (* -1 (* a (+ (* -1 c) (/ (pow b_2 2) a))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (- (/ (pow b_2 4) (* a c)) (pow b_2 2)) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* a (pow c 2))) (/ (pow b_2 4) c)) a)) (pow b_2 2)) a)))))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b_2 2))>
#<alt (* (pow c 2) (+ (* -1 (/ (* (pow a 3) c) (pow b_2 4))) (/ (pow a 2) (pow b_2 2))))>
#<alt (* (pow c 2) (+ (* c (- (/ (* (pow a 4) c) (pow b_2 6)) (/ (pow a 3) (pow b_2 4)))) (/ (pow a 2) (pow b_2 2))))>
#<alt (* (pow c 2) (+ (* c (- (* c (- (* -1 (/ (* (pow a 5) c) (pow b_2 8))) (* -1 (/ (pow a 4) (pow b_2 6))))) (/ (pow a 3) (pow b_2 4)))) (/ (pow a 2) (pow b_2 2))))>
#<alt (* a c)>
#<alt (* c (+ a (* -1 (/ (pow b_2 2) c))))>
#<alt (* c (- (+ a (/ (pow b_2 4) (* a (pow c 2)))) (/ (pow b_2 2) c)))>
#<alt (* c (- (+ a (* -1 (/ (pow b_2 6) (* (pow a 2) (pow c 3))))) (+ (* -1 (/ (pow b_2 4) (* a (pow c 2)))) (/ (pow b_2 2) c))))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (/ (pow b_2 2) c))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (- (/ (pow b_2 4) (* a c)) (pow b_2 2)) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* (pow a 2) c)) (/ (pow b_2 4) a)) c)) (pow b_2 2)) c)))))>
#<alt (* a c)>
#<alt (+ (* -1 (pow b_2 2)) (* a c))>
#<alt (+ (* a c) (* (pow b_2 2) (- (/ (pow b_2 2) (* a c)) 1)))>
#<alt (+ (* a c) (* (pow b_2 2) (- (* (pow b_2 2) (+ (* -1 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (/ 1 (* a c)))) 1)))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b_2 2))>
#<alt (/ (+ (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 2))) (* (pow a 2) (pow c 2))) (pow b_2 2))>
#<alt (/ (- (+ (* (pow a 2) (pow c 2)) (/ (* (pow a 4) (pow c 4)) (pow b_2 4))) (/ (* (pow a 3) (pow c 3)) (pow b_2 2))) (pow b_2 2))>
#<alt (/ (- (+ (* -1 (/ (* (pow a 5) (pow c 5)) (pow b_2 6))) (* (pow a 2) (pow c 2))) (+ (* -1 (/ (* (pow a 4) (pow c 4)) (pow b_2 4))) (/ (* (pow a 3) (pow c 3)) (pow b_2 2)))) (pow b_2 2))>
#<alt (/ (* (pow a 2) (pow c 2)) (pow b_2 2))>
#<alt (/ (+ (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 2))) (* (pow a 2) (pow c 2))) (pow b_2 2))>
#<alt (/ (- (+ (* (pow a 2) (pow c 2)) (/ (* (pow a 4) (pow c 4)) (pow b_2 4))) (/ (* (pow a 3) (pow c 3)) (pow b_2 2))) (pow b_2 2))>
#<alt (/ (- (+ (* -1 (/ (* (pow a 5) (pow c 5)) (pow b_2 6))) (* (pow a 2) (pow c 2))) (+ (* -1 (/ (* (pow a 4) (pow c 4)) (pow b_2 4))) (/ (* (pow a 3) (pow c 3)) (pow b_2 2)))) (pow b_2 2))>
#<alt (/ b_2 (* a c))>
#<alt (* b_2 (+ (* -1 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (/ 1 (* a c))))>
#<alt (* b_2 (+ (* (pow b_2 2) (- (/ (pow b_2 2) (* (pow a 3) (pow c 3))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c))))>
#<alt (* b_2 (+ (* (pow b_2 2) (- (* (pow b_2 2) (+ (* -1 (/ (pow b_2 2) (* (pow a 4) (pow c 4)))) (/ 1 (* (pow a 3) (pow c 3))))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c))))>
#<alt (/ 1 b_2)>
#<alt (/ (+ 1 (* -1 (/ (* a c) (pow b_2 2)))) b_2)>
#<alt (/ (- (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2))) b_2)>
#<alt (/ (- (+ 1 (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2)))) b_2)>
#<alt (/ 1 b_2)>
#<alt (* -1 (/ (- (/ (* a c) (pow b_2 2)) 1) b_2))>
#<alt (* -1 (/ (- (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) b_2))>
#<alt (* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (pow b_2 6)) (+ 1 (+ (* -1 (/ (* a c) (pow b_2 2))) (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))) b_2))>
#<alt (/ 1 b_2)>
#<alt (+ (* -1 (/ (* a c) (pow b_2 3))) (/ 1 b_2))>
#<alt (+ (* a (- (/ (* a (pow c 2)) (pow b_2 5)) (/ c (pow b_2 3)))) (/ 1 b_2))>
#<alt (+ (* a (- (* a (- (* -1 (/ (* a (pow c 3)) (pow b_2 7))) (* -1 (/ (pow c 2) (pow b_2 5))))) (/ c (pow b_2 3)))) (/ 1 b_2))>
#<alt (/ b_2 (* a c))>
#<alt (/ (+ (* -1 (/ (pow b_2 3) (* a (pow c 2)))) (/ b_2 c)) a)>
#<alt (/ (- (+ (/ b_2 c) (/ (pow b_2 5) (* (pow a 2) (pow c 3)))) (/ (pow b_2 3) (* a (pow c 2)))) a)>
#<alt (/ (- (+ (* -1 (/ (pow b_2 7) (* (pow a 3) (pow c 4)))) (/ b_2 c)) (+ (* -1 (/ (pow b_2 5) (* (pow a 2) (pow c 3)))) (/ (pow b_2 3) (* a (pow c 2))))) a)>
#<alt (/ b_2 (* a c))>
#<alt (* -1 (/ (+ (* -1 (/ b_2 c)) (/ (pow b_2 3) (* a (pow c 2)))) a))>
#<alt (* -1 (/ (+ (* -1 (/ b_2 c)) (* -1 (/ (- (/ (pow b_2 5) (* a (pow c 3))) (/ (pow b_2 3) (pow c 2))) a))) a))>
#<alt (* -1 (/ (+ (* -1 (/ b_2 c)) (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 7) (* a (pow c 4))) (/ (pow b_2 5) (pow c 3))) a)) (/ (pow b_2 3) (pow c 2))) a))) a))>
#<alt (/ 1 b_2)>
#<alt (+ (* -1 (/ (* a c) (pow b_2 3))) (/ 1 b_2))>
#<alt (+ (* c (- (/ (* (pow a 2) c) (pow b_2 5)) (/ a (pow b_2 3)))) (/ 1 b_2))>
#<alt (+ (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (pow b_2 7))) (* -1 (/ (pow a 2) (pow b_2 5))))) (/ a (pow b_2 3)))) (/ 1 b_2))>
#<alt (/ b_2 (* a c))>
#<alt (/ (+ (* -1 (/ (pow b_2 3) (* (pow a 2) c))) (/ b_2 a)) c)>
#<alt (/ (- (+ (/ b_2 a) (/ (pow b_2 5) (* (pow a 3) (pow c 2)))) (/ (pow b_2 3) (* (pow a 2) c))) c)>
#<alt (/ (- (+ (* -1 (/ (pow b_2 7) (* (pow a 4) (pow c 3)))) (/ b_2 a)) (+ (* -1 (/ (pow b_2 5) (* (pow a 3) (pow c 2)))) (/ (pow b_2 3) (* (pow a 2) c)))) c)>
#<alt (/ b_2 (* a c))>
#<alt (* -1 (/ (+ (* -1 (/ b_2 a)) (/ (pow b_2 3) (* (pow a 2) c))) c))>
#<alt (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (- (/ (pow b_2 5) (* (pow a 3) c)) (/ (pow b_2 3) (pow a 2))) c))) c))>
#<alt (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 7) (* (pow a 4) c)) (/ (pow b_2 5) (pow a 3))) c)) (/ (pow b_2 3) (pow a 2))) c))) c))>

Calls

180 calls:

Time	Variable		Point	Expression
30.0ms	b_2	@	-inf	(+ (* (* b_2 (* b_2 b_2)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (/ (* a (* a (* c c))) (+ (* b_2 b_2) (* a c)))))
17.0ms	c	@	inf	(+ (* (* b_2 (* b_2 b_2)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (/ (* a (* a (* c c))) (+ (* b_2 b_2) (* a c)))))
2.0ms	a	@	0	(+ (* (* b_2 (* b_2 b_2)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (/ (* a (* a (* c c))) (+ (* b_2 b_2) (* a c)))))
1.0ms	b_2	@	0	(+ (* (* b_2 (* b_2 b_2)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (/ (* a (* a (* c c))) (+ (* b_2 b_2) (* a c)))))
1.0ms	b_2	@	inf	(+ (neg b_2) (sqrt (+ (* (* b_2 (* b_2 b_2)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (/ (* a (* a (* c c))) (+ (* b_2 b_2) (* a c)))))))

simplify566.0ms (5.7%)

Memory

9.3MiB live, 561.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 076×	`lower-fma.f64`
8 076×	`lower-fma.f32`
7 492×	`lower-*.f64`
7 492×	`lower-*.f32`
5 836×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1249	13675
1	4102	13196
0	8935	12744

Stop Event

1×	iter limit
1×	node limit

Counts

720 → 714

Calls

Call 1

Inputs
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -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))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1/2 (/ c b_2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(sqrt (/ c a))
(+ (sqrt (/ c a)) (* -1 (/ b_2 a)))
(+ (sqrt (/ c a)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) b_2)) (/ 1 a))))
(+ (sqrt (/ c a)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* (pow a 3) c)))))) (/ 1 a))))
(* 1/2 (/ c b_2))
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c))) b_2)
(/ (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c)))) b_2)
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
(* 1/2 (/ c b_2))
(+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))
(+ (* 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))))))
(+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow c 3) (pow b_2 5))))))))
(sqrt (/ c a))
(+ (sqrt (/ c a)) (* -1 (/ b_2 a)))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2)))) a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (pow b_2 2))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2))))) a))) a)))
(* 1/2 (/ c b_2))
(* c (+ (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* 1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(sqrt (/ c a))
(* c (+ (sqrt (/ 1 (* a c))) (* -1 (/ b_2 (* a c)))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2)))))))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (pow b_2 2)))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(/ 1/2 b_2)
(/ 1/2 b_2)
(/ 1/2 b_2)
(/ 1/2 b_2)
(/ 1/2 b_2)
(/ 1/2 b_2)
(/ 1/2 b_2)
(/ 1/2 b_2)
(/ 1/2 b_2)
(/ 1/2 b_2)
(/ 1/2 b_2)
(/ 1/2 b_2)
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -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))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1/2 (/ c b_2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* 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)))
(* -1/2 (/ (* a c) b_2))
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -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)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* 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)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -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)))))
(* -1/2 (/ (* a c) b_2))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* 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)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* 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)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -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)))))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ (* a c) b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1 (* a c))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* c (+ (* -1 a) (/ (pow b_2 2) c)))
(* c (+ (* -1 a) (/ (pow b_2 2) c)))
(* c (+ (* -1 a) (/ (pow b_2 2) c)))
(* -1 (* a c))
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* a (+ (* -1 c) (/ (pow b_2 2) a)))
(* a (+ (* -1 c) (/ (pow b_2 2) a)))
(* a (+ (* -1 c) (/ (pow b_2 2) a)))
(* -1 (* a c))
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -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))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1/2 (/ c b_2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* 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)))
(* -1/2 (/ (* a c) b_2))
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -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)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* 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)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -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)))))
(* -1/2 (/ (* a c) b_2))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* 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)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* 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)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -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)))))
(* -1 (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b_2 4)))) (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b_2 4)))) (/ (* a c) (pow b_2 2))))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b_2 4)))) (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b_2 4)))) (/ (* a c) (pow b_2 2))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) c)) (pow b_2 2))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) c)) (pow b_2 2))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* a (- (+ (* -1 (/ (pow b_2 4) (* (pow a 2) c))) (+ (/ (pow b_2 2) a) (/ (pow b_2 4) (* (pow a 2) c)))) c))
(* a (- (+ (* -1 (/ (pow b_2 4) (* (pow a 2) c))) (+ (/ (pow b_2 2) a) (/ (pow b_2 4) (* (pow a 2) c)))) c))
(* -1 (* a c))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* a (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) a)) (pow b_2 2)) a)) (* -1 c))))
(* -1 (* a (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) a)) (pow b_2 2)) a)) (* -1 c))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) a)) (pow b_2 2))
(+ (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) a)) (pow b_2 2))
(* -1 (* a c))
(* c (- (/ (pow b_2 2) c) a))
(* c (- (+ (* -1 (/ (pow b_2 4) (* a (pow c 2)))) (+ (/ (pow b_2 2) c) (/ (pow b_2 4) (* a (pow c 2))))) a))
(* c (- (+ (* -1 (/ (pow b_2 4) (* a (pow c 2)))) (+ (/ (pow b_2 2) c) (/ (pow b_2 4) (* a (pow c 2))))) a))
(* -1 (* a c))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) c)) (pow b_2 2)) c)) (* -1 a))))
(* -1 (* c (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) c)) (pow b_2 2)) c)) (* -1 a))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* 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)))
(* -1/2 (/ (* a c) b_2))
(/ (+ (* -1/2 (* a c)) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 2))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 2))) (+ (* -1/2 (/ (+ (* 1/4 (* (pow a 2) (* (pow c 2) (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))))) (* 1/4 (pow (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) 2))) (pow b_2 6))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 4)))))) b_2)
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 6))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/2 (/ (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) b_2))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))))) (pow b_2 3)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* a (+ (* -1/2 (/ (* a (+ (* 1/4 (/ (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 4))) (* 1/4 (/ (pow (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) 2) (pow b_2 2))))) b_2)) (* -1/4 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 3)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c))))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1/2 (/ (* a c) b_2))
(* c (+ (* -1/2 (/ a b_2)) (* -1/2 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) b_2))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))))) (pow b_2 3)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) b_2)) (* c (+ (* -1/2 (/ (* c (+ (* 1/4 (/ (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 4))) (* 1/4 (/ (pow (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) 2) (pow b_2 2))))) b_2)) (* -1/4 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 3)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a))))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 2))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 2)))) (* -1/4 (/ (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 2)))) (+ (* -1/2 (/ (+ (* 1/4 (* (pow a 2) (* (pow c 2) (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))))) (* 1/4 (pow (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) 2))) (* a (pow b_2 6)))) (* -1/4 (/ (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))) (pow b_2 4)))))) b_2)
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 4)))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 4)))) (+ (* -1/4 (/ (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/2 (/ (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) b_2)))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))))) (pow b_2 3))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* a (+ (* -1/2 (/ (* a (+ (* 1/4 (/ (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 4))) (* 1/4 (/ (pow (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) 2) (pow b_2 2))))) b_2)) (* -1/4 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)))))) a))) a)))
(* -1/2 (/ c b_2))
(* c (- (* -1/2 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (* a b_2))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (* a b_2))) (* -1/4 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 3))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (* a b_2))) (* c (+ (* -1/2 (/ (* c (+ (* 1/4 (/ (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 4))) (* 1/4 (/ (pow (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) 2) (pow b_2 2))))) (* a b_2))) (* -1/4 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (pow b_2 3))))))) (* 1/2 (/ 1 b_2))))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a))))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* (sqrt (* a c)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (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)))))))
(+ (* (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)))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* 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)))))))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -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 (* 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))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ 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))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* 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)))))
(* 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))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -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))))))
(* -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)))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ 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))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* 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)))))
(* 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))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -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))))))
(* -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)))))))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(* (sqrt (* a c)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (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)))))))
(+ (* (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)))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 6)))))))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 6))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/2 (/ (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) b_2)))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))))) (pow b_2 3))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* 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)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)))))) (pow a 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/2 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) b_2)))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))))) (pow b_2 3))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* 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)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a))))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)))))) (pow c 3))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(/ (* (pow a 2) (pow c 2)) (pow b_2 2))
(* (pow a 2) (+ (* -1 (/ (* a (pow c 3)) (pow b_2 4))) (/ (pow c 2) (pow b_2 2))))
(* (pow a 2) (+ (* a (- (/ (* a (pow c 4)) (pow b_2 6)) (/ (pow c 3) (pow b_2 4)))) (/ (pow c 2) (pow b_2 2))))
(* (pow a 2) (+ (* a (- (* a (- (* -1 (/ (* a (pow c 5)) (pow b_2 8))) (* -1 (/ (pow c 4) (pow b_2 6))))) (/ (pow c 3) (pow b_2 4)))) (/ (pow c 2) (pow b_2 2))))
(* a c)
(* a (+ c (* -1 (/ (pow b_2 2) a))))
(* a (- (+ c (/ (pow b_2 4) (* (pow a 2) c))) (/ (pow b_2 2) a)))
(* a (- (+ c (* -1 (/ (pow b_2 6) (* (pow a 3) (pow c 2))))) (+ (* -1 (/ (pow b_2 4) (* (pow a 2) c))) (/ (pow b_2 2) a))))
(* a c)
(* -1 (* a (+ (* -1 c) (/ (pow b_2 2) a))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (- (/ (pow b_2 4) (* a c)) (pow b_2 2)) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* a (pow c 2))) (/ (pow b_2 4) c)) a)) (pow b_2 2)) a)))))
(/ (* (pow a 2) (pow c 2)) (pow b_2 2))
(* (pow c 2) (+ (* -1 (/ (* (pow a 3) c) (pow b_2 4))) (/ (pow a 2) (pow b_2 2))))
(* (pow c 2) (+ (* c (- (/ (* (pow a 4) c) (pow b_2 6)) (/ (pow a 3) (pow b_2 4)))) (/ (pow a 2) (pow b_2 2))))
(* (pow c 2) (+ (* c (- (* c (- (* -1 (/ (* (pow a 5) c) (pow b_2 8))) (* -1 (/ (pow a 4) (pow b_2 6))))) (/ (pow a 3) (pow b_2 4)))) (/ (pow a 2) (pow b_2 2))))
(* a c)
(* c (+ a (* -1 (/ (pow b_2 2) c))))
(* c (- (+ a (/ (pow b_2 4) (* a (pow c 2)))) (/ (pow b_2 2) c)))
(* c (- (+ a (* -1 (/ (pow b_2 6) (* (pow a 2) (pow c 3))))) (+ (* -1 (/ (pow b_2 4) (* a (pow c 2)))) (/ (pow b_2 2) c))))
(* a c)
(* -1 (* c (+ (* -1 a) (/ (pow b_2 2) c))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (- (/ (pow b_2 4) (* a c)) (pow b_2 2)) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* (pow a 2) c)) (/ (pow b_2 4) a)) c)) (pow b_2 2)) c)))))
(* a c)
(+ (* -1 (pow b_2 2)) (* a c))
(+ (* a c) (* (pow b_2 2) (- (/ (pow b_2 2) (* a c)) 1)))
(+ (* a c) (* (pow b_2 2) (- (* (pow b_2 2) (+ (* -1 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (/ 1 (* a c)))) 1)))
(/ (* (pow a 2) (pow c 2)) (pow b_2 2))
(/ (+ (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 2))) (* (pow a 2) (pow c 2))) (pow b_2 2))
(/ (- (+ (* (pow a 2) (pow c 2)) (/ (* (pow a 4) (pow c 4)) (pow b_2 4))) (/ (* (pow a 3) (pow c 3)) (pow b_2 2))) (pow b_2 2))
(/ (- (+ (* -1 (/ (* (pow a 5) (pow c 5)) (pow b_2 6))) (* (pow a 2) (pow c 2))) (+ (* -1 (/ (* (pow a 4) (pow c 4)) (pow b_2 4))) (/ (* (pow a 3) (pow c 3)) (pow b_2 2)))) (pow b_2 2))
(/ (* (pow a 2) (pow c 2)) (pow b_2 2))
(/ (+ (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 2))) (* (pow a 2) (pow c 2))) (pow b_2 2))
(/ (- (+ (* (pow a 2) (pow c 2)) (/ (* (pow a 4) (pow c 4)) (pow b_2 4))) (/ (* (pow a 3) (pow c 3)) (pow b_2 2))) (pow b_2 2))
(/ (- (+ (* -1 (/ (* (pow a 5) (pow c 5)) (pow b_2 6))) (* (pow a 2) (pow c 2))) (+ (* -1 (/ (* (pow a 4) (pow c 4)) (pow b_2 4))) (/ (* (pow a 3) (pow c 3)) (pow b_2 2)))) (pow b_2 2))
(/ b_2 (* a c))
(* b_2 (+ (* -1 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (/ 1 (* a c))))
(* b_2 (+ (* (pow b_2 2) (- (/ (pow b_2 2) (* (pow a 3) (pow c 3))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c))))
(* b_2 (+ (* (pow b_2 2) (- (* (pow b_2 2) (+ (* -1 (/ (pow b_2 2) (* (pow a 4) (pow c 4)))) (/ 1 (* (pow a 3) (pow c 3))))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c))))
(/ 1 b_2)
(/ (+ 1 (* -1 (/ (* a c) (pow b_2 2)))) b_2)
(/ (- (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2))) b_2)
(/ (- (+ 1 (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2)))) b_2)
(/ 1 b_2)
(* -1 (/ (- (/ (* a c) (pow b_2 2)) 1) b_2))
(* -1 (/ (- (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) b_2))
(* -1 (/ (- (/ (* (pow a 3) (pow c 3)) (pow b_2 6)) (+ 1 (+ (* -1 (/ (* a c) (pow b_2 2))) (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))) b_2))
(/ 1 b_2)
(+ (* -1 (/ (* a c) (pow b_2 3))) (/ 1 b_2))
(+ (* a (- (/ (* a (pow c 2)) (pow b_2 5)) (/ c (pow b_2 3)))) (/ 1 b_2))
(+ (* a (- (* a (- (* -1 (/ (* a (pow c 3)) (pow b_2 7))) (* -1 (/ (pow c 2) (pow b_2 5))))) (/ c (pow b_2 3)))) (/ 1 b_2))
(/ b_2 (* a c))
(/ (+ (* -1 (/ (pow b_2 3) (* a (pow c 2)))) (/ b_2 c)) a)
(/ (- (+ (/ b_2 c) (/ (pow b_2 5) (* (pow a 2) (pow c 3)))) (/ (pow b_2 3) (* a (pow c 2)))) a)
(/ (- (+ (* -1 (/ (pow b_2 7) (* (pow a 3) (pow c 4)))) (/ b_2 c)) (+ (* -1 (/ (pow b_2 5) (* (pow a 2) (pow c 3)))) (/ (pow b_2 3) (* a (pow c 2))))) a)
(/ b_2 (* a c))
(* -1 (/ (+ (* -1 (/ b_2 c)) (/ (pow b_2 3) (* a (pow c 2)))) a))
(* -1 (/ (+ (* -1 (/ b_2 c)) (* -1 (/ (- (/ (pow b_2 5) (* a (pow c 3))) (/ (pow b_2 3) (pow c 2))) a))) a))
(* -1 (/ (+ (* -1 (/ b_2 c)) (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 7) (* a (pow c 4))) (/ (pow b_2 5) (pow c 3))) a)) (/ (pow b_2 3) (pow c 2))) a))) a))
(/ 1 b_2)
(+ (* -1 (/ (* a c) (pow b_2 3))) (/ 1 b_2))
(+ (* c (- (/ (* (pow a 2) c) (pow b_2 5)) (/ a (pow b_2 3)))) (/ 1 b_2))
(+ (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (pow b_2 7))) (* -1 (/ (pow a 2) (pow b_2 5))))) (/ a (pow b_2 3)))) (/ 1 b_2))
(/ b_2 (* a c))
(/ (+ (* -1 (/ (pow b_2 3) (* (pow a 2) c))) (/ b_2 a)) c)
(/ (- (+ (/ b_2 a) (/ (pow b_2 5) (* (pow a 3) (pow c 2)))) (/ (pow b_2 3) (* (pow a 2) c))) c)
(/ (- (+ (* -1 (/ (pow b_2 7) (* (pow a 4) (pow c 3)))) (/ b_2 a)) (+ (* -1 (/ (pow b_2 5) (* (pow a 3) (pow c 2)))) (/ (pow b_2 3) (* (pow a 2) c)))) c)
(/ b_2 (* a c))
(* -1 (/ (+ (* -1 (/ b_2 a)) (/ (pow b_2 3) (* (pow a 2) c))) c))
(* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (- (/ (pow b_2 5) (* (pow a 3) c)) (/ (pow b_2 3) (pow a 2))) c))) c))
(* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 7) (* (pow a 4) c)) (/ (pow b_2 5) (pow a 3))) c)) (/ (pow b_2 3) (pow a 2))) c))) c))

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

rewrite387.0ms (3.9%)

Memory

7.4MiB live, 604.3MiB allocated

Rules

4 448×	`lower-/.f32`
4 428×	`lower-/.f64`
3 992×	`lower-*.f32`
3 968×	`lower-*.f64`
3 514×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	371
0	91	300
1	334	262
2	2558	261
0	8756	261

Stop Event

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

Counts

25 → 960

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 b_2 (.f64 c #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 c (*.f64 b_2 #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal 2 binary64)) c)))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64))))
(/.f64 c (*.f64 b_2 #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) b_2) (neg.f64 (/.f64 #s(literal 1 binary64) c)))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 b_2 #s(literal 2 binary64)) c))
(/.f64 (neg.f64 c) (*.f64 b_2 #s(literal 2 binary64)))
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(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 b_2 b_2))) b_2)
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c a (.f64 b_2 b_2))) (pow.f64 (/.f64 #s(literal 1 binary64) b_2) #s(literal -1 binary64)))
(.f64 (/.f64 b_2 (fma.f64 (.f64 c a) (.f64 (.f64 c a) (.f64 c a)) (.f64 (.f64 b_2 b_2) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))))) (fma.f64 (.f64 c a) (-.f64 (.f64 c a) (.f64 b_2 b_2)) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))))
(.f64 (/.f64 b_2 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (.f64 b_2 b_2) (.f64 c a)))) (-.f64 (.f64 b_2 b_2) (*.f64 c a)))

eval436.0ms (4.4%)

Memory: 36.0MiB live, 445.8MiB allocated
Compiler: Compiled 59 702 to 5 437 computations (90.9% saved)

prune276.0ms (2.8%)

Memory

-31.5MiB live, 542.1MiB allocated

Pruning

28 alts after pruning (19 fresh and 9 done)

	Pruned	Kept	Total
New	1 662	12	1 674
Fresh	6	7	13
Picked	2	3	5
Done	2	6	8
Total	1 672	28	1 700

Accuracy

92.4%

Counts

1 700 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.3%	(/.f64 (fma.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 b_2 (.f64 b_2 b_2))) (.f64 a (fma.f64 b_2 b_2 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))))
	26.4%	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)) (.f64 b_2 b_2)) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) (neg.f64 b_2))) a)
	23.4%	(/.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 c a))) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))))))
	46.9%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a)
	33.7%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 b_2 (.f64 b_2 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2)))))))) b_2) a)
	36.5%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 (.f64 b_2 b_2)) (/.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 #s(approx (/ ( a (* a (* c c))) (+ (* b_2 b_2) (* a c))) (*.f64 c a)))))) a)
	24.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
	30.4%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c))))) a)
	9.7%	(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 c (*.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) b_2))) a)
	34.7%	(/.f64 #s(approx (+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)) (*.f64 b_2 #s(literal -2 binary64))) a)
✓	27.6%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2)) a)
✓	30.9%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) a)) a)
	14.6%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (/.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal -2 binary64) c)) #s(literal -1 binary64))) b_2) a)) a)
✓	27.6%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 c a) (/.f64 #s(literal -1/2 binary64) b_2))) a)
	27.5%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 c #s(literal -1/2 binary64)) (/.f64 a b_2))) a)
	46.8%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2)))
	33.9%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 b_2 b_2) (fma.f64 (/.f64 c (*.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64))))) b_2)))
	30.4%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) #s(approx (* (* b_2 b_2) (+ (* (/ c (* b_2 b_2)) (neg a)) 1)) (*.f64 c (neg.f64 a))))) b_2))
	34.6%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(approx (sqrt (- ( b_2 b_2) (* a c))) (neg.f64 b_2)) b_2))
✓	9.2%	#s(approx (/ (+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
✓	9.2%	#s(approx (/ (+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))
✓	37.2%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 a (/.f64 (*.f64 (/.f64 c b_2) c) b_2)))) b_2))
✓	37.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
✓	37.6%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c)))
	37.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))))
	37.6%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) c) b_2)))
✓	37.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
	16.1%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (exp.f64 (.f64 (log.f64 (/.f64 b_2 (.f64 c #s(literal -1/2 binary64)))) #s(literal -1 binary64))))

Compiler

Compiled 1 401 to 495 computations (64.7% saved)

regimes70.0ms (0.7%)

Memory

37.5MiB live, 115.4MiB allocated

Counts

49 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

22.0ms	a
18.0ms	c
14.0ms	b_2
13.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
52.8%	4	`a`
85.5%	3	`b_2`
50.6%	3	`c`
73.6%	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes17.0ms (0.2%)

Memory

-54.5MiB live, 16.0MiB allocated

Counts

18 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
#s(approx (/ (+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))
#s(approx (/ (+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
(/.f64 #s(approx (+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)) (*.f64 b_2 #s(literal -2 binary64))) a)
(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(approx (sqrt (- ( b_2 b_2) (* a c))) (neg.f64 b_2)) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) c) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c)))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 c #s(literal -1/2 binary64)) (/.f64 a b_2))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 c a) (/.f64 #s(literal -1/2 binary64) b_2))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) a)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2)) a)
(/.f64 #s(approx (+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)) (/.f64 (.f64 a (.f64 c #s(literal 1/2 binary64))) b_2)) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c))))) a)
(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) #s(approx (* (* b_2 b_2) (+ (* (/ c (* b_2 b_2)) (neg a)) 1)) (*.f64 c (neg.f64 a))))) b_2))

Outputs

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

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

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

Calls

1 calls:

16.0ms

b_2

Results

Accuracy	Segments	Branch
82.0%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
#s(approx (/ (+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))
#s(approx (/ (+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
(/.f64 #s(approx (+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)) (*.f64 b_2 #s(literal -2 binary64))) a)
(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(approx (sqrt (- ( b_2 b_2) (* a c))) (neg.f64 b_2)) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) c) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c)))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 c #s(literal -1/2 binary64)) (/.f64 a b_2))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 c a) (/.f64 #s(literal -1/2 binary64) b_2))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) a)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2)) a)
(/.f64 #s(approx (+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)) (/.f64 (.f64 a (.f64 c #s(literal 1/2 binary64))) b_2)) a)

Outputs

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

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

Calls

1 calls:

5.0ms

b_2

Results

Accuracy	Segments	Branch
69.8%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

Memory

-12.7MiB live, 26.1MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
#s(approx (/ (+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))
#s(approx (/ (+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))

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

Calls

4 calls:

5.0ms	a
2.0ms	c
2.0ms	b_2
2.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
37.8%	1	`c`
37.8%	1	`a`
37.8%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
37.8%	1	`b_2`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes5.0ms (0.1%)

Memory

18.6MiB live, 18.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
37.7%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
37.7%	1	`a`
37.7%	1	`b_2`
37.7%	1	`c`

Compiler

Compiled 28 to 19 computations (32.1% saved)

bsearch89.0ms (0.9%)

Memory

-23.6MiB live, 94.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
33.0ms	1.4024827840472331e-65	2.717117504111517e-54
14.0ms	-1.2290100941002045e+60	-3.0677861384149482e+57

Samples

14.0ms	223×	0	valid
5.0ms	30×	2	valid
4.0ms	35×	1	valid
3.0ms	41×	0	invalid

Compiler

Compiled 487 to 322 computations (33.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 5.0ms (28.8% of total)

ival-div: 3.0ms (17.3% of total)

ival-sqrt: 3.0ms (17.3% of total)

ival-sub: 2.0ms (11.5% of total)

ival-add: 2.0ms (11.5% of total)

ival-neg: 2.0ms (11.5% of total)

adjust: 1.0ms (5.8% of total)

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

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

bsearch37.0ms (0.4%)

Memory

40.3MiB live, 76.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.4024827840472331e-65	2.717117504111517e-54
23.0ms	-4.1152555522371844e-68	-2.144447157725083e-78

Samples

13.0ms	197×	0	valid
3.0ms	51×	0	invalid
2.0ms	15×	2	valid
1.0ms	12×	1	valid

Compiler

Compiled 519 to 356 computations (31.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 3.0ms (23.6% of total)

ival-div: 2.0ms (15.7% of total)

ival-sqrt: 2.0ms (15.7% of total)

ival-add: 2.0ms (15.7% of total)

adjust: 1.0ms (7.9% of total)

ival-sub: 1.0ms (7.9% of total)

ival-neg: 1.0ms (7.9% of total)

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

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

bsearch33.0ms (0.3%)

Memory

-7.3MiB live, 66.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	-3.6564352751805546e-295	2.5611943984039102e-300

Samples

13.0ms	176×	0	valid
6.0ms	93×	0	invalid

Compiler

Compiled 239 to 170 computations (28.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 5.0ms (40.2% of total)

ival-div: 2.0ms (16.1% of total)

ival-sqrt: 2.0ms (16.1% of total)

ival-sub: 1.0ms (8% of total)

ival-add: 1.0ms (8% of total)

ival-neg: 1.0ms (8% of total)

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

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

simplify12.0ms (0.1%)

Memory

-30.0MiB live, 17.2MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
14×	`+-commutative_binary64`
12×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	196
1	67	195
2	80	195
3	86	195
4	89	195
5	90	195

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -1219999999999999945388543525960102422987076760683835971076096 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (if (<=.f64 b_2 #s(literal 8198170380571703/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -4613838619036107/242833611528216133864932738352939863330300854881517440156476551217363035650651062272 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (if (<=.f64 b_2 #s(literal 8593944123082061/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 a (neg.f64 c))))) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal 7115704217835139/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))

Outputs
(if (<=.f64 b_2 #s(literal -1219999999999999945388543525960102422987076760683835971076096 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (if (<=.f64 b_2 #s(literal 8198170380571703/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -1219999999999999945388543525960102422987076760683835971076096 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (if (<=.f64 b_2 #s(literal 8198170380571703/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -4613838619036107/242833611528216133864932738352939863330300854881517440156476551217363035650651062272 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (if (<=.f64 b_2 #s(literal 8593944123082061/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 a (neg.f64 c))))) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -4613838619036107/242833611528216133864932738352939863330300854881517440156476551217363035650651062272 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (if (<=.f64 b_2 #s(literal 8593944123082061/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (neg.f64 (.f64 a c)))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal 7115704217835139/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))

soundness684.0ms (6.9%)

Memory

34.9MiB live, 574.6MiB allocated

Rules

11 022×	`lower-fma.f64`
11 022×	`lower-fma.f32`
7 132×	`lower-*.f64`
7 132×	`lower-*.f32`
6 248×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	371
0	91	300
1	334	262
2	2558	261
0	8756	261
0	10	41
0	17	41
1	64	39
2	463	38
3	5888	38
0	8611	34
0	44	319
0	69	304
1	248	290
2	1779	275
0	8451	275
0	508	3200
1	1606	3160
2	5520	3144
0	8782	3008

Stop Event

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

Compiler

Compiled 278 to 137 computations (50.7% saved)

preprocess53.0ms (0.5%)

Memory: 9.5MiB live, 131.2MiB allocated
Compiler: Compiled 402 to 144 computations (64.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	50
0	17	50
1	28	48
2	45	48
3	74	48
4	113	48
5	189	48
6	319	48
7	464	48
8	807	48
9	920	48
10	952	48
11	963	48
12	964	48
0	964	48

Iter	Nodes	Cost
0	10	50
0	17	50
1	28	48
2	45	48
3	74	48
4	113	48
5	189	48
6	319	48
7	464	48
8	807	48
9	920	48
10	952	48
11	963	48
12	964	48
0	964	48

start0.0ms (0%)

analyze111.0ms (1.1%)

sample1.6s (16%)

explain191.0ms (1.9%)

preprocess109.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify38.0ms (0.4%)

localize45.0ms (0.5%)

series20.0ms (0.2%)

simplify343.0ms (3.4%)

rewrite180.0ms (1.8%)

eval119.0ms (1.2%)

prune263.0ms (2.6%)

simplify240.0ms (2.4%)

localize210.0ms (2.1%)

series195.0ms (2%)

simplify409.0ms (4.1%)

rewrite345.0ms (3.5%)

eval257.0ms (2.6%)

prune195.0ms (2%)

simplify176.0ms (1.8%)

localize171.0ms (1.7%)

series27.0ms (0.3%)

simplify718.0ms (7.2%)

rewrite429.0ms (4.3%)

eval179.0ms (1.8%)

prune161.0ms (1.6%)

simplify204.0ms (2%)

localize241.0ms (2.4%)

series113.0ms (1.1%)

simplify566.0ms (5.7%)

rewrite387.0ms (3.9%)

eval436.0ms (4.4%)

prune276.0ms (2.8%)

regimes70.0ms (0.7%)

regimes17.0ms (0.2%)

regimes6.0ms (0.1%)

regimes12.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch89.0ms (0.9%)

bsearch37.0ms (0.4%)

bsearch33.0ms (0.3%)

simplify12.0ms (0.1%)

soundness684.0ms (6.9%)

preprocess53.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	50
0	17	50
1	28	48
2	45	48
3	74	48
4	113	48
5	189	48
6	319	48
7	464	48
8	807	48
9	920	48
10	952	48
11	963	48
12	964	48
0	964	48