Metrics for quad2p (problem 3.2.1, positive)

analyze137.0ms (1.3%)

Memory

2.3MiB live, 87.1MiB 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)

sample1.8s (16.7%)

Memory

16.3MiB live, 2 355.4MiB allocated

Samples

582.0ms	5 540×	0	valid
349.0ms	1 194×	2	valid
213.0ms	1 311×	1	valid
149.0ms	1 137×	0	invalid
78.0ms	206×	3	valid
1.0ms	5×	4	valid

Precisions

Click to see histograms. Total time spent on operations: 860.0ms

ival-mult: 276.0ms (32.1% of total)

ival-div: 151.0ms (17.6% of total)

ival-neg: 113.0ms (13.1% of total)

ival-sqrt: 112.0ms (13% of total)

ival-add: 70.0ms (8.1% of total)

ival-sub: 67.0ms (7.8% of total)

adjust: 60.0ms (7% of total)

ival-true: 6.0ms (0.7% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

preprocess118.0ms (1.1%)

Memory

-7.2MiB live, 106.4MiB allocated

Algorithm

1×	egg-herbie

Rules

986×	`div-sub`
756×	`times-frac`
416×	`accelerator-lowering-fma.f32`
416×	`accelerator-lowering-fma.f64`
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
1	21	12
2	38	12
3	67	12
4	106	12
5	182	12
6	314	12
7	460	12
8	802	12
9	915	12
10	947	12
11	958	12
12	959	12
0	959	12

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)

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

explain148.0ms (1.4%)

Memory

22.8MiB live, 353.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
104	-	2	(7.00256970698392e-183 -7.873397185462418e-162 -3.9524787944321357e-194)	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
53	-	0	-	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
13	-	1	(-1.2224384811892154e-290 2.0080373800231523e+44 -144295140014393.6)	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
1	-	0	-	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`
0	-	0	-	`(*.f64 b_2 b_2)`
0	-	0	-	`a`
0	-	0	-	`(neg.f64 b_2)`
0	-	0	-	`b_2`
0	-	0	-	`(*.f64 a c)`
0	-	0	-	`c`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	oflow-rescue	96	0
↳	`(*.f64 b_2 b_2)`	overflow	80
↳	`(*.f64 a c)`	overflow	22
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	overflow	96
`+.f64`	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	cancellation	53	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`	u/n	12	0
↳	`(*.f64 b_2 b_2)`	underflow	43
↳	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	underflow	27
↳	`(*.f64 a c)`	underflow	30
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	6
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	uflow-rescue	6	0
↳	`(*.f64 b_2 b_2)`	underflow	43
↳	`(*.f64 a c)`	underflow	30
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	6
`-.f64`	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	nan-rescue	1	0
↳	`(*.f64 b_2 b_2)`	overflow	80
↳	`(*.f64 a c)`	overflow	22

Confusion

	Predicted +	Predicted -
+	126	2
-	11	117

Precision

0.9197080291970803

Recall

0.984375

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	126	0	2
-	11	0	117

Precision?

0.9197080291970803

Recall?

0.984375

Freqs

test

number	freq
0	119
1	107
2	29
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms	362×	0	valid
13.0ms	60×	2	valid
11.0ms	72×	1	valid
5.0ms	18×	3	valid

Compiler

Compiled 136 to 44 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 9.0ms (25.5% of total)

ival-div: 6.0ms (17% of total)

ival-sqrt: 6.0ms (17% of total)

ival-add: 4.0ms (11.3% of total)

ival-sub: 3.0ms (8.5% of total)

adjust: 3.0ms (8.5% of total)

ival-neg: 3.0ms (8.5% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.0%	(/.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)

simplify36.0ms (0.3%)

Memory

-9.9MiB live, 28.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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×	`accelerator-lowering-fma.f32`
416×	`accelerator-lowering-fma.f64`
264×	`-lowering-.f32`
264×	`-lowering-.f64`
146×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	50
1	21	48
2	38	48
3	67	48
4	106	48
5	182	48
6	314	48
7	460	48
8	802	48
9	915	48
10	947	48
11	958	48
12	959	48
0	959	48

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
(+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
(neg b_2)
b_2
(sqrt (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))
(* b_2 b_2)
(* a c)
a
c

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

localize47.0ms (0.4%)

Memory

15.6MiB live, 90.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	95.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	accuracy	81.6%	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	accuracy	62.6%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Samples

15.0ms	181×	0	valid
11.0ms	36×	1	valid
7.0ms	30×	2	valid
2.0ms	9×	3	valid

Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-sqrt: 8.0ms (35.6% of total)

ival-mult: 4.0ms (17.8% of total)

ival-div: 3.0ms (13.3% of total)

ival-sub: 2.0ms (8.9% of total)

adjust: 2.0ms (8.9% of total)

ival-neg: 2.0ms (8.9% of total)

ival-add: 2.0ms (8.9% of total)

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

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

series40.0ms (0.4%)

Memory

-12.7MiB live, 24.8MiB allocated

Counts

5 → 156

Calls

Call 1

Inputs
#<alt (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))>
#<alt (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)>
#<alt (neg b_2)>
#<alt (sqrt (- (* b_2 b_2) (* a c)))>
#<alt (- (* b_2 b_2) (* 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
23.0ms	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))))
1.0ms	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)))) a)
1.0ms	b_2	@	-inf	(neg b_2)

rewrite254.0ms (2.4%)

Memory

-17.1MiB live, 388.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 898×	`accelerator-lowering-fma.f32`
3 898×	`accelerator-lowering-fma.f64`
3 070×	`-lowering-.f32`
3 070×	`-lowering-.f64`
1 432×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
1	57	39
2	456	38
3	5874	38
0	8926	34

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 449

Calls

Call 1

Inputs
(+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
(neg b_2)
(sqrt (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))

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

simplify398.0ms (3.7%)

Memory

23.6MiB live, 579.0MiB allocated

Algorithm

1×	egg-herbie

Rules

11 022×	`accelerator-lowering-fma.f32`
11 022×	`accelerator-lowering-fma.f64`
7 132×	`-lowering-.f32`
7 132×	`-lowering-.f64`
3 498×	`+-lowering-+.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 → 156

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

eval71.0ms (0.7%)

Memory: -6.6MiB live, 142.6MiB allocated
Compiler: Compiled 18 573 to 2 104 computations (88.7% saved)

prune110.0ms (1%)

Memory

22.8MiB live, 223.5MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	594	11	605
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	594	12	606

Accuracy

91.8%

Counts

606 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.1%	(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a (.f64 c c)) (.f64 b_2 b_2)) (.f64 c #s(literal -1/2 binary64))) b_2)
▶	26.1%	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
	31.6%	(/.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 c (.f64 a (.f64 a c))) (fma.f64 b_2 b_2 (*.f64 a c))))))) a)
✓	53.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	10.7%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (fma.f64 a (.f64 c (.f64 c (.f64 a (.f64 a c)))) (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 c (.f64 a (*.f64 a c))))))))) a)
	18.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.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))))))) a)
▶	36.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64))))) a)
	34.9%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
▶	23.3%	(/.f64 (.f64 c (fma.f64 c (/.f64 (.f64 (.f64 a #s(literal -1/8 binary64)) a) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2))) a)
	32.6%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
▶	35.4%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
▶	34.6%	(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))))

Compiler

Compiled 506 to 280 computations (44.7% saved)

simplify203.0ms (1.9%)

Memory

-32.0MiB live, 294.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (.f64 (.f64 a #s(literal -1/8 binary64)) a) (.f64 b_2 (.f64 b_2 b_2)))
✓	cost-diff	0	(.f64 c (fma.f64 c (/.f64 (.f64 (.f64 a #s(literal -1/8 binary64)) a) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2)))
✓	cost-diff	0	(/.f64 (.f64 c (fma.f64 c (/.f64 (.f64 (.f64 a #s(literal -1/8 binary64)) a) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2))) a)
✓	cost-diff	640	(fma.f64 c (/.f64 (.f64 (.f64 a #s(literal -1/8 binary64)) a) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))
✓	cost-diff	0	(fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a))
✓	cost-diff	128	(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))))
✓	cost-diff	320	(.f64 b_2 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)))
✓	cost-diff	0	(*.f64 c #s(literal -1/2 binary64))
✓	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	1024	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
✓	cost-diff	0	(*.f64 b_2 #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
✓	cost-diff	0	(neg.f64 b_2)
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64))))) a)
✓	cost-diff	128	(+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64)))))
✓	cost-diff	1344	(.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64)))

Rules

4 622×	`accelerator-lowering-fma.f32`
4 622×	`accelerator-lowering-fma.f64`
4 306×	`-lowering-.f32`
4 306×	`-lowering-.f64`
1 918×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	282
1	118	280
2	352	270
3	1368	236
4	3300	236
5	5176	236
6	7309	236
0	8035	230

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (neg b_2) (sqrt (* (* b_2 b_2) (+ (* a (/ c (* b_2 (neg b_2)))) 1)))) a)
(+ (neg b_2) (sqrt (* (* b_2 b_2) (+ (* a (/ c (* b_2 (neg b_2)))) 1))))
(neg b_2)
b_2
(sqrt (* (* b_2 b_2) (+ (* a (/ c (* b_2 (neg b_2)))) 1)))
(* (* b_2 b_2) (+ (* a (/ c (* b_2 (neg b_2)))) 1))
(* b_2 b_2)
(+ (* a (/ c (* b_2 (neg b_2)))) 1)
a
(/ c (* b_2 (neg b_2)))
c
(* b_2 (neg b_2))
1
(/ (* b_2 -2) a)
(* b_2 -2)
b_2
-2
a
(/ (/ (* a (* c -1/2)) b_2) a)
(/ (* a (* c -1/2)) b_2)
(* a (* c -1/2))
a
(* c -1/2)
c
-1/2
b_2
(neg (* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a))))
(* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)))
b_2
(+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a))
c
(/ -1/2 (* b_2 b_2))
-1/2
(* b_2 b_2)
(/ 2 a)
2
a
(/ (* c (+ (* c (/ (* (* a -1/8) a) (* b_2 (* b_2 b_2)))) (/ (* a -1/2) b_2))) a)
(* c (+ (* c (/ (* (* a -1/8) a) (* b_2 (* b_2 b_2)))) (/ (* a -1/2) b_2)))
c
(+ (* c (/ (* (* a -1/8) a) (* b_2 (* b_2 b_2)))) (/ (* a -1/2) b_2))
(/ (* (* a -1/8) a) (* b_2 (* b_2 b_2)))
(* (* a -1/8) a)
(* a -1/8)
a
-1/8
(* b_2 (* b_2 b_2))
b_2
(* b_2 b_2)
(/ (* a -1/2) b_2)
(* a -1/2)
-1/2

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

localize201.0ms (1.9%)

Memory

9.2MiB live, 317.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	94.2%	(.f64 c (fma.f64 c (/.f64 (.f64 (.f64 a #s(literal -1/8 binary64)) a) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2)))
✓	accuracy	92.5%	(fma.f64 c (/.f64 (.f64 (.f64 a #s(literal -1/8 binary64)) a) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2))
✓	accuracy	89.9%	(/.f64 (.f64 c (fma.f64 c (/.f64 (.f64 (.f64 a #s(literal -1/8 binary64)) a) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2))) a)
✓	accuracy	83.0%	(/.f64 (.f64 (.f64 a #s(literal -1/8 binary64)) a) (.f64 b_2 (.f64 b_2 b_2)))
✓	accuracy	100.0%	(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))))
✓	accuracy	99.5%	(/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))
✓	accuracy	96.3%	(fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a))
✓	accuracy	89.9%	(.f64 b_2 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)))
✓	accuracy	100.0%	(*.f64 c #s(literal -1/2 binary64))
✓	accuracy	100.0%	(.f64 a (.f64 c #s(literal -1/2 binary64)))
✓	accuracy	92.2%	(/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2)
✓	accuracy	87.6%	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
✓	accuracy	100.0%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
✓	accuracy	100.0%	(*.f64 b_2 #s(literal -2 binary64))
✓	accuracy	91.7%	(/.f64 c (*.f64 b_2 (neg.f64 b_2)))
✓	accuracy	83.4%	(.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64)))
✓	accuracy	81.6%	(+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64)))))
✓	accuracy	62.6%	(sqrt.f64 (.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64))))

Samples

75.0ms	181×	0	valid
27.0ms	36×	2	valid
15.0ms	32×	1	valid
8.0ms	7×	3	valid

Compiler

Compiled 283 to 42 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-mult: 57.0ms (58.9% of total)

ival-div: 22.0ms (22.7% of total)

ival-add: 6.0ms (6.2% of total)

adjust: 4.0ms (4.1% of total)

ival-neg: 4.0ms (4.1% of total)

ival-sqrt: 3.0ms (3.1% of total)

exact: 1.0ms (1% of total)

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

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

series61.0ms (0.6%)

Memory

40.0MiB live, 111.1MiB allocated

Counts

20 → 576

Calls

Call 1

Inputs
#<alt (* (* b_2 b_2) (+ (* a (/ c (* b_2 (neg b_2)))) 1))>
#<alt (+ (neg b_2) (sqrt (* (* b_2 b_2) (+ (* a (/ c (* b_2 (neg b_2)))) 1))))>
#<alt (/ (+ (neg b_2) (sqrt (* (* b_2 b_2) (+ (* a (/ c (* b_2 (neg b_2)))) 1)))) a)>
#<alt (neg b_2)>
#<alt (/ (* b_2 -2) a)>
#<alt (* b_2 -2)>
#<alt (/ (/ (* a (* c -1/2)) b_2) a)>
#<alt (/ (* a (* c -1/2)) b_2)>
#<alt (* a (* c -1/2))>
#<alt (* c -1/2)>
#<alt (* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)))>
#<alt (neg (* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a))))>
#<alt (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a))>
#<alt (/ -1/2 (* b_2 b_2))>
#<alt (+ (* c (/ (* (* a -1/8) a) (* b_2 (* b_2 b_2)))) (/ (* a -1/2) b_2))>
#<alt (/ (* c (+ (* c (/ (* (* a -1/8) a) (* b_2 (* b_2 b_2)))) (/ (* a -1/2) b_2))) a)>
#<alt (* c (+ (* c (/ (* (* a -1/8) a) (* b_2 (* b_2 b_2)))) (/ (* a -1/2) b_2)))>
#<alt (/ (* (* a -1/8) a) (* b_2 (* b_2 b_2)))>
#<alt (sqrt (* (* b_2 b_2) (+ (* a (/ c (* b_2 (neg b_2)))) 1)))>
#<alt (/ c (* b_2 (neg b_2)))>

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

Calls

144 calls:

Time	Variable		Point	Expression
5.0ms	c	@	-inf	(+ (* c (/ (* (* a -1/8) a) (* b_2 (* b_2 b_2)))) (/ (* a -1/2) b_2))
3.0ms	c	@	inf	(* a (* c -1/2))
2.0ms	c	@	0	(+ (neg b_2) (sqrt (* (* b_2 b_2) (+ (* a (/ c (* b_2 (neg b_2)))) 1))))
1.0ms	a	@	0	(+ (neg b_2) (sqrt (* (* b_2 b_2) (+ (* a (/ c (* b_2 (neg b_2)))) 1))))
1.0ms	c	@	0	(+ (* c (/ (* (* a -1/8) a) (* b_2 (* b_2 b_2)))) (/ (* a -1/2) b_2))

rewrite384.0ms (3.6%)

Memory

5.4MiB live, 715.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 334×	`-lowering-.f32`
5 334×	`-lowering-.f64`
4 920×	`/-lowering-/.f32`
4 920×	`/-lowering-/.f64`
4 240×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	216
1	231	211
2	1952	208
0	9001	198

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 855

Calls

Call 1

Inputs
(* (* b_2 b_2) (+ (* a (/ c (* b_2 (neg b_2)))) 1))
(+ (neg b_2) (sqrt (* (* b_2 b_2) (+ (* a (/ c (* b_2 (neg b_2)))) 1))))
(/ (+ (neg b_2) (sqrt (* (* b_2 b_2) (+ (* a (/ c (* b_2 (neg b_2)))) 1)))) a)
(neg b_2)
(/ (* b_2 -2) a)
(* b_2 -2)
(/ (/ (* a (* c -1/2)) b_2) a)
(/ (* a (* c -1/2)) b_2)
(* a (* c -1/2))
(* c -1/2)
(* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)))
(neg (* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a))))
(+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a))
(/ -1/2 (* b_2 b_2))
(+ (* c (/ (* (* a -1/8) a) (* b_2 (* b_2 b_2)))) (/ (* a -1/2) b_2))
(/ (* c (+ (* c (/ (* (* a -1/8) a) (* b_2 (* b_2 b_2)))) (/ (* a -1/2) b_2))) a)
(* c (+ (* c (/ (* (* a -1/8) a) (* b_2 (* b_2 b_2)))) (/ (* a -1/2) b_2)))
(/ (* (* a -1/8) a) (* b_2 (* b_2 b_2)))
(sqrt (* (* b_2 b_2) (+ (* a (/ c (* b_2 (neg b_2)))) 1)))
(/ c (* b_2 (neg b_2)))

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

simplify579.0ms (5.4%)

Memory

-5.7MiB live, 826.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 128×	`accelerator-lowering-fma.f32`
12 128×	`accelerator-lowering-fma.f64`
7 292×	`-lowering-.f32`
7 292×	`-lowering-.f64`
3 476×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	620	7288
1	1946	7227
2	6463	7157
0	8298	6864

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 576

Calls

Call 1

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

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

eval195.0ms (1.8%)

Memory: 35.4MiB live, 410.9MiB allocated
Compiler: Compiled 34 000 to 4 055 computations (88.1% saved)

prune247.0ms (2.3%)

Memory

-52.0MiB live, 356.0MiB allocated

Pruning

35 alts after pruning (33 fresh and 2 done)

	Pruned	Kept	Total
New	1 423	27	1 450
Fresh	0	6	6
Picked	4	1	5
Done	0	1	1
Total	1 427	35	1 462

Accuracy

92.7%

Counts

1 462 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.2%	(fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))
	16.5%	(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64))) b_2 (neg.f64 b_2)) a)
	36.9%	(/.f64 (fma.f64 (sqrt.f64 (.f64 (.f64 b_2 (sqrt.f64 (fma.f64 a (/.f64 c (.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64)))) b_2)) (sqrt.f64 (sqrt.f64 (fma.f64 a (/.f64 c (.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64)))) (neg.f64 b_2)) a)
	28.1%	(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a (.f64 c c)) (.f64 b_2 b_2)) (.f64 c #s(literal -1/2 binary64))) b_2)
▶	28.4%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (/.f64 c (.f64 b_2 (neg.f64 b_2))) (.f64 a (.f64 b_2 b_2)) (.f64 b_2 b_2)))) a)
	31.6%	(/.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 c (.f64 a (.f64 a c))) (fma.f64 b_2 b_2 (*.f64 a c))))))) a)
	25.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 (.f64 b_2 (.f64 b_2 b_2)) b_2)) #s(literal -1 binary64)) (.f64 b_2 b_2)) (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal -1 binary64))))) a)
✓	53.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	10.7%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (fma.f64 a (.f64 c (.f64 c (.f64 a (.f64 a c)))) (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 c (.f64 a (*.f64 a c))))))))) a)
	18.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.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))))))) a)
	35.9%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (.f64 b_2 b_2) (fma.f64 a (.f64 (/.f64 #s(literal -1 binary64) (.f64 b_2 b_2)) c) #s(literal 1 binary64))))) a)
	36.5%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 b_2 (.f64 b_2 (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64)))))) a)
	34.9%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
▶	53.8%	(/.f64 (+.f64 (neg.f64 b_2) (fabs.f64 (.f64 b_2 (sqrt.f64 (fma.f64 a (/.f64 c (.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64)))))) a)
	26.7%	(/.f64 (.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) c) a)
	26.7%	(/.f64 (.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 a (/.f64 #s(literal 1 binary64) b_2))) a)
	26.1%	(/.f64 (.f64 (.f64 a c) (/.f64 #s(literal -1/2 binary64) b_2)) a)
▶	12.4%	(/.f64 (.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2) (.f64 #s(literal -1/8 binary64) (.f64 a c)))) (.f64 b_2 (.f64 b_2 b_2)))
	9.6%	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
	32.6%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	35.4%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
▶	28.0%	(/.f64 (.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)) a)
	35.3%	(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
	24.5%	(.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) a) (/.f64 a b_2))
	35.3%	(.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 b_2 #s(literal -2 binary64))) #s(literal -1 binary64)))
	16.5%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (.f64 b_2 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64)))) b_2))
▶	35.3%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
	28.9%	(.f64 (.f64 c #s(literal -1/2 binary64)) (/.f64 a (*.f64 b_2 a)))
	27.0%	(.f64 (.f64 a c) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 a)))
	32.3%	(.f64 c (fma.f64 a (/.f64 (.f64 #s(literal -1/8 binary64) c) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 #s(literal -1/2 binary64) b_2)))
	34.6%	(.f64 b_2 (fma.f64 c (/.f64 #s(literal 1/2 binary64) (.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
	27.5%	(.f64 a (/.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 a)))
	35.2%	(neg.f64 (/.f64 (fma.f64 c (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (.f64 b_2 #s(literal 2 binary64))) a))
	26.5%	(neg.f64 (.f64 b_2 (/.f64 (fma.f64 b_2 #s(literal -2 binary64) (/.f64 (.f64 (.f64 a c) #s(literal 1/2 binary64)) b_2)) (.f64 (neg.f64 a) b_2))))
	18.0%	(exp.f64 (.f64 (log.f64 (/.f64 a (.f64 b_2 #s(literal -2 binary64)))) #s(literal -1 binary64)))

Compiler

Compiled 1 266 to 752 computations (40.6% saved)

simplify152.0ms (1.4%)

Memory

6.1MiB live, 277.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 b_2)
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (/.f64 c (.f64 b_2 (neg.f64 b_2))) (.f64 a (.f64 b_2 b_2)) (.f64 b_2 b_2)))) a)
✓	cost-diff	128	(+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (/.f64 c (.f64 b_2 (neg.f64 b_2))) (.f64 a (.f64 b_2 b_2)) (.f64 b_2 b_2))))
✓	cost-diff	1664	(fma.f64 (/.f64 c (.f64 b_2 (neg.f64 b_2))) (.f64 a (.f64 b_2 b_2)) (.f64 b_2 b_2))
✓	cost-diff	0	(*.f64 b_2 b_2)
✓	cost-diff	0	(fma.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2) (.f64 #s(literal -1/8 binary64) (*.f64 a c)))
✓	cost-diff	0	(.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2) (.f64 #s(literal -1/8 binary64) (.f64 a c))))
✓	cost-diff	0	(/.f64 (.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2) (.f64 #s(literal -1/8 binary64) (.f64 a c)))) (.f64 b_2 (.f64 b_2 b_2)))
✓	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	(.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
✓	cost-diff	1024	(/.f64 (.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)) a)
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) a)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
✓	cost-diff	0	(fabs.f64 (.f64 b_2 (sqrt.f64 (fma.f64 a (/.f64 c (.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64)))))
✓	cost-diff	0	(neg.f64 b_2)
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (fabs.f64 (.f64 b_2 (sqrt.f64 (fma.f64 a (/.f64 c (.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64)))))) a)
✓	cost-diff	128	(+.f64 (neg.f64 b_2) (fabs.f64 (.f64 b_2 (sqrt.f64 (fma.f64 a (/.f64 c (.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64))))))

Rules

2 972×	`-lowering-.f32`
2 972×	`-lowering-.f64`
2 444×	`/-lowering-/.f32`
2 444×	`/-lowering-/.f64`
2 112×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	301
1	99	289
2	258	275
3	774	247
4	2074	247
5	2843	247
6	4936	247
0	8090	244

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (neg b_2) (fabs (* b_2 (sqrt (+ (* a (/ c (* b_2 (neg b_2)))) 1))))) a)
(+ (neg b_2) (fabs (* b_2 (sqrt (+ (* a (/ c (* b_2 (neg b_2)))) 1)))))
(neg b_2)
b_2
(fabs (* b_2 (sqrt (+ (* a (/ c (* b_2 (neg b_2)))) 1))))
(* b_2 (sqrt (+ (* a (/ c (* b_2 (neg b_2)))) 1)))
(sqrt (+ (* a (/ c (* b_2 (neg b_2)))) 1))
(+ (* a (/ c (* b_2 (neg b_2)))) 1)
a
(/ c (* b_2 (neg b_2)))
c
(* b_2 (neg b_2))
1
(* (/ -2 a) b_2)
(/ -2 a)
-2
a
b_2
(/ (* a (* (/ -1/2 b_2) c)) a)
(* a (* (/ -1/2 b_2) c))
a
(* (/ -1/2 b_2) c)
(/ -1/2 b_2)
-1/2
b_2
c
(/ (* c (+ (* -1/2 (* b_2 b_2)) (* -1/8 (* a c)))) (* b_2 (* b_2 b_2)))
(* c (+ (* -1/2 (* b_2 b_2)) (* -1/8 (* a c))))
c
(+ (* -1/2 (* b_2 b_2)) (* -1/8 (* a c)))
-1/2
(* b_2 b_2)
b_2
(* -1/8 (* a c))
-1/8
(* a c)
a
(* b_2 (* b_2 b_2))
(/ (+ (neg b_2) (sqrt (+ (* (/ c (* b_2 (neg b_2))) (* a (* b_2 b_2))) (* b_2 b_2)))) a)
(+ (neg b_2) (sqrt (+ (* (/ c (* b_2 (neg b_2))) (* a (* b_2 b_2))) (* b_2 b_2))))
(neg b_2)
b_2
(sqrt (+ (* (/ c (* b_2 (neg b_2))) (* a (* b_2 b_2))) (* b_2 b_2)))
(+ (* (/ c (* b_2 (neg b_2))) (* a (* b_2 b_2))) (* b_2 b_2))
(/ c (* b_2 (neg b_2)))
c
(* b_2 (neg b_2))
(* a (* b_2 b_2))
a
(* b_2 b_2)

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

localize258.0ms (2.4%)

Memory

-0.4MiB live, 250.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	90.9%	(.f64 a (.f64 b_2 b_2))
✓	accuracy	81.6%	(+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (/.f64 c (.f64 b_2 (neg.f64 b_2))) (.f64 a (.f64 b_2 b_2)) (.f64 b_2 b_2))))
✓	accuracy	62.6%	(sqrt.f64 (fma.f64 (/.f64 c (.f64 b_2 (neg.f64 b_2))) (.f64 a (.f64 b_2 b_2)) (.f64 b_2 b_2)))
✓	accuracy	62.2%	(fma.f64 (/.f64 c (.f64 b_2 (neg.f64 b_2))) (.f64 a (.f64 b_2 b_2)) (.f64 b_2 b_2))
✓	accuracy	99.7%	(.f64 #s(literal -1/8 binary64) (.f64 a c))
✓	accuracy	98.0%	(fma.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2) (.f64 #s(literal -1/8 binary64) (*.f64 a c)))
✓	accuracy	94.5%	(.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2) (.f64 #s(literal -1/8 binary64) (.f64 a c))))
✓	accuracy	57.4%	(/.f64 (.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2) (.f64 #s(literal -1/8 binary64) (.f64 a c)))) (.f64 b_2 (.f64 b_2 b_2)))
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) b_2)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
✓	accuracy	93.9%	(.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
✓	accuracy	87.6%	(/.f64 (.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)) a)
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) a)
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
✓	accuracy	94.3%	(.f64 b_2 (sqrt.f64 (fma.f64 a (/.f64 c (.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64))))
✓	accuracy	91.7%	(/.f64 c (*.f64 b_2 (neg.f64 b_2)))
✓	accuracy	87.6%	(sqrt.f64 (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64)))
✓	accuracy	81.6%	(+.f64 (neg.f64 b_2) (fabs.f64 (.f64 b_2 (sqrt.f64 (fma.f64 a (/.f64 c (.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64))))))

Samples

65.0ms	181×	0	valid
59.0ms	40×	2	valid
15.0ms	28×	1	valid
5.0ms	6×	3	valid
1.0ms	1×	4	valid

Compiler

Compiled 290 to 39 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-div: 47.0ms (47.8% of total)

ival-mult: 28.0ms (28.5% of total)

ival-add: 8.0ms (8.1% of total)

ival-sqrt: 6.0ms (6.1% of total)

adjust: 5.0ms (5.1% of total)

ival-neg: 2.0ms (2% of total)

ival-fabs: 2.0ms (2% of total)

exact: 1.0ms (1% of total)

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

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

series38.0ms (0.4%)

Memory

5.6MiB live, 78.8MiB allocated

Counts

23 → 672

Calls

Call 1

Inputs
#<alt (+ (neg b_2) (fabs (* b_2 (sqrt (+ (* a (/ c (* b_2 (neg b_2)))) 1)))))>
#<alt (/ (+ (neg b_2) (fabs (* b_2 (sqrt (+ (* a (/ c (* b_2 (neg b_2)))) 1))))) a)>
#<alt (neg b_2)>
#<alt (fabs (* b_2 (sqrt (+ (* a (/ c (* b_2 (neg b_2)))) 1))))>
#<alt (* (/ -2 a) b_2)>
#<alt (/ -2 a)>
#<alt (/ (* a (* (/ -1/2 b_2) c)) a)>
#<alt (* a (* (/ -1/2 b_2) c))>
#<alt (* (/ -1/2 b_2) c)>
#<alt (/ -1/2 b_2)>
#<alt (/ (* c (+ (* -1/2 (* b_2 b_2)) (* -1/8 (* a c)))) (* b_2 (* b_2 b_2)))>
#<alt (* c (+ (* -1/2 (* b_2 b_2)) (* -1/8 (* a c))))>
#<alt (+ (* -1/2 (* b_2 b_2)) (* -1/8 (* a c)))>
#<alt (* b_2 b_2)>
#<alt (+ (* (/ c (* b_2 (neg b_2))) (* a (* b_2 b_2))) (* b_2 b_2))>
#<alt (+ (neg b_2) (sqrt (+ (* (/ c (* b_2 (neg b_2))) (* a (* b_2 b_2))) (* b_2 b_2))))>
#<alt (/ (+ (neg b_2) (sqrt (+ (* (/ c (* b_2 (neg b_2))) (* a (* b_2 b_2))) (* b_2 b_2)))) a)>
#<alt (sqrt (+ (* a (/ c (* b_2 (neg b_2)))) 1))>
#<alt (/ c (* b_2 (neg b_2)))>
#<alt (* b_2 (sqrt (+ (* a (/ c (* b_2 (neg b_2)))) 1)))>
#<alt (* -1/8 (* a c))>
#<alt (sqrt (+ (* (/ c (* b_2 (neg b_2))) (* a (* b_2 b_2))) (* b_2 b_2)))>
#<alt (* a (* b_2 b_2))>

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

Calls

168 calls:

Time	Variable		Point	Expression
3.0ms	b_2	@	0	(fabs (* b_2 (sqrt (+ (* a (/ c (* b_2 (neg b_2)))) 1))))
2.0ms	c	@	inf	(sqrt (+ (* a (/ c (* b_2 (neg b_2)))) 1))
2.0ms	c	@	-inf	(sqrt (+ (* (/ c (* b_2 (neg b_2))) (* a (* b_2 b_2))) (* b_2 b_2)))
1.0ms	c	@	0	(/ (* c (+ (* -1/2 (* b_2 b_2)) (* -1/8 (* a c)))) (* b_2 (* b_2 b_2)))
1.0ms	a	@	-inf	(/ (+ (neg b_2) (fabs (* b_2 (sqrt (+ (* a (/ c (* b_2 (neg b_2)))) 1))))) a)

rewrite461.0ms (4.3%)

Memory

21.8MiB live, 807.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 498×	`accelerator-lowering-fma.f32`
6 498×	`accelerator-lowering-fma.f64`
4 648×	`-lowering-.f32`
4 648×	`-lowering-.f64`
4 624×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	243
1	206	231
2	1574	222
0	8172	219

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 896

Calls

Call 1

Inputs
(+ (neg b_2) (fabs (* b_2 (sqrt (+ (* a (/ c (* b_2 (neg b_2)))) 1)))))
(/ (+ (neg b_2) (fabs (* b_2 (sqrt (+ (* a (/ c (* b_2 (neg b_2)))) 1))))) a)
(neg b_2)
(fabs (* b_2 (sqrt (+ (* a (/ c (* b_2 (neg b_2)))) 1))))
(* (/ -2 a) b_2)
(/ -2 a)
(/ (* a (* (/ -1/2 b_2) c)) a)
(* a (* (/ -1/2 b_2) c))
(* (/ -1/2 b_2) c)
(/ -1/2 b_2)
(/ (* c (+ (* -1/2 (* b_2 b_2)) (* -1/8 (* a c)))) (* b_2 (* b_2 b_2)))
(* c (+ (* -1/2 (* b_2 b_2)) (* -1/8 (* a c))))
(+ (* -1/2 (* b_2 b_2)) (* -1/8 (* a c)))
(* b_2 b_2)
(+ (* (/ c (* b_2 (neg b_2))) (* a (* b_2 b_2))) (* b_2 b_2))
(+ (neg b_2) (sqrt (+ (* (/ c (* b_2 (neg b_2))) (* a (* b_2 b_2))) (* b_2 b_2))))
(/ (+ (neg b_2) (sqrt (+ (* (/ c (* b_2 (neg b_2))) (* a (* b_2 b_2))) (* b_2 b_2)))) a)
(sqrt (+ (* a (/ c (* b_2 (neg b_2)))) 1))
(/ c (* b_2 (neg b_2)))
(* b_2 (sqrt (+ (* a (/ c (* b_2 (neg b_2)))) 1)))
(* -1/8 (* a c))
(sqrt (+ (* (/ c (* b_2 (neg b_2))) (* a (* b_2 b_2))) (* b_2 b_2)))
(* a (* b_2 b_2))

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

simplify524.0ms (4.9%)

Memory

-17.4MiB live, 963.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 712×	`accelerator-lowering-fma.f32`
11 712×	`accelerator-lowering-fma.f64`
7 660×	`-lowering-.f32`
7 660×	`-lowering-.f64`
4 106×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	705	9768
1	2287	9476
2	7677	9476
0	8168	9153

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 672

Calls

Call 1

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

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

eval255.0ms (2.4%)

Memory: 25.3MiB live, 554.6MiB allocated
Compiler: Compiled 47 234 to 4 616 computations (90.2% saved)

prune301.0ms (2.8%)

Memory

11.4MiB live, 555.8MiB allocated

Pruning

42 alts after pruning (37 fresh and 5 done)

	Pruned	Kept	Total
New	1 814	16	1 830
Fresh	7	21	28
Picked	2	3	5
Done	0	2	2
Total	1 823	42	1 865

Accuracy

94.1%

Counts

1 865 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.2%	(fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))
	36.9%	(/.f64 (fma.f64 (sqrt.f64 (.f64 (.f64 b_2 (sqrt.f64 (fma.f64 a (/.f64 c (.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64)))) b_2)) (sqrt.f64 (sqrt.f64 (fma.f64 a (/.f64 c (.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64)))) (neg.f64 b_2)) a)
▶	28.1%	(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a (.f64 c c)) (.f64 b_2 b_2)) (.f64 c #s(literal -1/2 binary64))) b_2)
	12.7%	(/.f64 (/.f64 (fma.f64 (fma.f64 a (neg.f64 (/.f64 c (.f64 b_2 b_2))) #s(literal 1 binary64)) (.f64 b_2 b_2) (neg.f64 (.f64 b_2 b_2))) (-.f64 (sqrt.f64 (.f64 (fma.f64 a (neg.f64 (/.f64 c (.f64 b_2 b_2))) #s(literal 1 binary64)) (.f64 b_2 b_2))) (neg.f64 b_2))) a)
	53.7%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 c (*.f64 b_2 b_2))) #s(literal 1 binary64))) (fabs.f64 b_2) (neg.f64 b_2))))
	36.0%	(/.f64 (-.f64 (sqrt.f64 (.f64 (fma.f64 a (neg.f64 (/.f64 c (.f64 b_2 b_2))) #s(literal 1 binary64)) (*.f64 b_2 b_2))) b_2) a)
	31.2%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (/.f64 (.f64 c (.f64 b_2 b_2)) (neg.f64 b_2)) (/.f64 a b_2) (*.f64 b_2 b_2)))) a)
▶	34.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (/.f64 (.f64 b_2 b_2) (neg.f64 b_2)) (.f64 a (/.f64 c b_2)) (*.f64 b_2 b_2)))) a)
	31.6%	(/.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 c (.f64 a (.f64 a c))) (fma.f64 b_2 b_2 (*.f64 a c))))))) a)
	36.2%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 a) (.f64 b_2 (neg.f64 (/.f64 c (.f64 b_2 b_2)))) (.f64 b_2 b_2)))) a)
	30.8%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (/.f64 (.f64 c (.f64 b_2 (.f64 b_2 a))) (neg.f64 (.f64 b_2 b_2)))))) a)
✓	53.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	18.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.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))))))) a)
	36.5%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 b_2 (.f64 b_2 (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64)))))) a)
	34.9%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
▶	56.1%	(/.f64 (+.f64 (neg.f64 b_2) (fabs.f64 (*.f64 b_2 (sqrt.f64 (fma.f64 a (/.f64 (/.f64 c (neg.f64 b_2)) b_2) #s(literal 1 binary64)))))) a)
	53.4%	(/.f64 (+.f64 (neg.f64 b_2) (fabs.f64 (.f64 b_2 (sqrt.f64 (fma.f64 a (.f64 (/.f64 #s(literal -1 binary64) (*.f64 b_2 b_2)) c) #s(literal 1 binary64)))))) a)
	26.7%	(/.f64 (.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) c) a)
▶	26.1%	(/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) (.f64 a c)) a)
	26.7%	(/.f64 (.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 a (/.f64 #s(literal 1 binary64) b_2))) a)
✓	12.4%	(/.f64 (.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2) (.f64 #s(literal -1/8 binary64) (.f64 a c)))) (.f64 b_2 (.f64 b_2 b_2)))
	9.6%	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
	32.6%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	35.4%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
✓	28.0%	(/.f64 (.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)) a)
▶	12.9%	(/.f64 (neg.f64 b_2) a)
	23.0%	(/.f64 (fabs.f64 (.f64 b_2 (sqrt.f64 (fma.f64 a (/.f64 c (.f64 (neg.f64 b_2) b_2)) #s(literal 1 binary64))))) a)
	28.4%	(/.f64 a (.f64 a (/.f64 b_2 (.f64 c #s(literal -1/2 binary64)))))
	27.8%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 b_2 (/.f64 #s(literal -2 binary64) a))) c))
	35.3%	(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
	12.2%	(.f64 (fma.f64 b_2 (.f64 b_2 #s(literal -1/2 binary64)) (.f64 a (.f64 c #s(literal -1/8 binary64)))) (/.f64 c (.f64 b_2 (.f64 b_2 b_2))))
	27.5%	(.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 a)) a)
	24.5%	(.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) a) (/.f64 a b_2))
	35.3%	(.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 b_2 #s(literal -2 binary64))) #s(literal -1 binary64)))
	16.5%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (.f64 b_2 (sqrt.f64 (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64)))) b_2))
✓	35.3%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
	28.9%	(.f64 (.f64 c #s(literal -1/2 binary64)) (/.f64 a (*.f64 b_2 a)))
	27.0%	(.f64 (.f64 a c) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 a)))
	34.6%	(.f64 b_2 (fma.f64 c (/.f64 #s(literal 1/2 binary64) (.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
	35.2%	(neg.f64 (/.f64 (fma.f64 c (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (.f64 b_2 #s(literal 2 binary64))) a))
	26.5%	(neg.f64 (.f64 b_2 (/.f64 (fma.f64 b_2 #s(literal -2 binary64) (/.f64 (.f64 (.f64 a c) #s(literal 1/2 binary64)) b_2)) (.f64 (neg.f64 a) b_2))))
	18.0%	(exp.f64 (.f64 (log.f64 (/.f64 a (.f64 b_2 #s(literal -2 binary64)))) #s(literal -1 binary64)))

Compiler

Compiled 1 421 to 854 computations (39.9% saved)

simplify172.0ms (1.6%)

Memory

-5.5MiB live, 327.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (/.f64 (.f64 b_2 b_2) (neg.f64 b_2)) (.f64 a (/.f64 c b_2)) (*.f64 b_2 b_2)))) a)
✓	cost-diff	128	(+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (/.f64 (.f64 b_2 b_2) (neg.f64 b_2)) (.f64 a (/.f64 c b_2)) (*.f64 b_2 b_2))))
✓	cost-diff	1024	(/.f64 (*.f64 b_2 b_2) (neg.f64 b_2))
✓	cost-diff	1024	(fma.f64 (/.f64 (.f64 b_2 b_2) (neg.f64 b_2)) (.f64 a (/.f64 c b_2)) (*.f64 b_2 b_2))
✓	cost-diff	0	(.f64 a (.f64 c c))
✓	cost-diff	0	(/.f64 (.f64 a (.f64 c c)) (*.f64 b_2 b_2))
✓	cost-diff	0	(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a (.f64 c c)) (.f64 b_2 b_2)) (.f64 c #s(literal -1/2 binary64))) b_2)
✓	cost-diff	320	(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a (.f64 c c)) (.f64 b_2 b_2)) (.f64 c #s(literal -1/2 binary64)))
✓	cost-diff	0	(*.f64 a c)
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) b_2)
✓	cost-diff	0	(.f64 (/.f64 #s(literal -1/2 binary64) b_2) (.f64 a c))
✓	cost-diff	1024	(/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) (.f64 a c)) a)
✓	cost-diff	0	(neg.f64 b_2)
✓	cost-diff	0	(/.f64 (neg.f64 b_2) a)
✓	cost-diff	0	(neg.f64 b_2)
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (fabs.f64 (*.f64 b_2 (sqrt.f64 (fma.f64 a (/.f64 (/.f64 c (neg.f64 b_2)) b_2) #s(literal 1 binary64)))))) a)
✓	cost-diff	128	(+.f64 (neg.f64 b_2) (fabs.f64 (*.f64 b_2 (sqrt.f64 (fma.f64 a (/.f64 (/.f64 c (neg.f64 b_2)) b_2) #s(literal 1 binary64))))))
✓	cost-diff	384	(/.f64 (/.f64 c (neg.f64 b_2)) b_2)

Rules

4 168×	`-lowering-.f32`
4 168×	`-lowering-.f64`
2 914×	`accelerator-lowering-fma.f32`
2 914×	`accelerator-lowering-fma.f64`
1 628×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	287
1	91	283
2	251	253
3	836	237
4	2438	233
5	3787	233
6	5746	233
0	8498	231

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (neg b_2) (fabs (* b_2 (sqrt (+ (* a (/ (/ c (neg b_2)) b_2)) 1))))) a)
(+ (neg b_2) (fabs (* b_2 (sqrt (+ (* a (/ (/ c (neg b_2)) b_2)) 1)))))
(neg b_2)
b_2
(fabs (* b_2 (sqrt (+ (* a (/ (/ c (neg b_2)) b_2)) 1))))
(* b_2 (sqrt (+ (* a (/ (/ c (neg b_2)) b_2)) 1)))
(sqrt (+ (* a (/ (/ c (neg b_2)) b_2)) 1))
(+ (* a (/ (/ c (neg b_2)) b_2)) 1)
a
(/ (/ c (neg b_2)) b_2)
(/ c (neg b_2))
c
1
(/ (neg b_2) a)
(neg b_2)
b_2
a
(/ (* (/ -1/2 b_2) (* a c)) a)
(* (/ -1/2 b_2) (* a c))
(/ -1/2 b_2)
-1/2
b_2
(* a c)
a
c
(/ (+ (* -1/8 (/ (* a (* c c)) (* b_2 b_2))) (* c -1/2)) b_2)
(+ (* -1/8 (/ (* a (* c c)) (* b_2 b_2))) (* c -1/2))
-1/8
(/ (* a (* c c)) (* b_2 b_2))
(* a (* c c))
a
(* c c)
c
(* b_2 b_2)
b_2
(* c -1/2)
-1/2
(/ (+ (neg b_2) (sqrt (+ (* (/ (* b_2 b_2) (neg b_2)) (* a (/ c b_2))) (* b_2 b_2)))) a)
(+ (neg b_2) (sqrt (+ (* (/ (* b_2 b_2) (neg b_2)) (* a (/ c b_2))) (* b_2 b_2))))
(neg b_2)
b_2
(sqrt (+ (* (/ (* b_2 b_2) (neg b_2)) (* a (/ c b_2))) (* b_2 b_2)))
(+ (* (/ (* b_2 b_2) (neg b_2)) (* a (/ c b_2))) (* b_2 b_2))
(/ (* b_2 b_2) (neg b_2))
(* b_2 b_2)
(* a (/ c b_2))
a
(/ c b_2)
c

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

localize173.0ms (1.6%)

Memory

4.9MiB live, 361.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	93.7%	(fma.f64 (/.f64 (.f64 b_2 b_2) (neg.f64 b_2)) (.f64 a (/.f64 c b_2)) (*.f64 b_2 b_2))
✓	accuracy	81.6%	(+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (/.f64 (.f64 b_2 b_2) (neg.f64 b_2)) (.f64 a (/.f64 c b_2)) (*.f64 b_2 b_2))))
✓	accuracy	62.6%	(sqrt.f64 (fma.f64 (/.f64 (.f64 b_2 b_2) (neg.f64 b_2)) (.f64 a (/.f64 c b_2)) (*.f64 b_2 b_2)))
✓	accuracy	55.1%	(/.f64 (*.f64 b_2 b_2) (neg.f64 b_2))
✓	accuracy	100.0%	(*.f64 b_2 b_2)
✓	accuracy	99.6%	(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a (.f64 c c)) (.f64 b_2 b_2)) (.f64 c #s(literal -1/2 binary64))) b_2)
✓	accuracy	90.8%	(.f64 a (.f64 c c))
✓	accuracy	81.2%	(/.f64 (.f64 a (.f64 c c)) (*.f64 b_2 b_2))
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) b_2)
✓	accuracy	100.0%	(*.f64 a c)
✓	accuracy	92.1%	(.f64 (/.f64 #s(literal -1/2 binary64) b_2) (.f64 a c))
✓	accuracy	87.6%	(/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) (.f64 a c)) a)
✓	accuracy	100.0%	(/.f64 (neg.f64 b_2) a)
✓	accuracy	100.0%	(neg.f64 b_2)
✓	accuracy	95.3%	(/.f64 (+.f64 (neg.f64 b_2) (fabs.f64 (*.f64 b_2 (sqrt.f64 (fma.f64 a (/.f64 (/.f64 c (neg.f64 b_2)) b_2) #s(literal 1 binary64)))))) a)
✓	accuracy	94.3%	(*.f64 b_2 (sqrt.f64 (fma.f64 a (/.f64 (/.f64 c (neg.f64 b_2)) b_2) #s(literal 1 binary64))))
✓	accuracy	87.6%	(sqrt.f64 (fma.f64 a (/.f64 (/.f64 c (neg.f64 b_2)) b_2) #s(literal 1 binary64)))
✓	accuracy	81.6%	(+.f64 (neg.f64 b_2) (fabs.f64 (*.f64 b_2 (sqrt.f64 (fma.f64 a (/.f64 (/.f64 c (neg.f64 b_2)) b_2) #s(literal 1 binary64))))))

Samples

48.0ms	181×	0	valid
33.0ms	36×	2	valid
18.0ms	32×	1	valid
6.0ms	7×	3	valid

Compiler

Compiled 281 to 39 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-div: 32.0ms (42% of total)

ival-mult: 22.0ms (28.9% of total)

ival-add: 8.0ms (10.5% of total)

ival-sqrt: 6.0ms (7.9% of total)

adjust: 4.0ms (5.2% of total)

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

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

exact: 0.0ms (0% of total)

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

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

series110.0ms (1%)

Memory

-4.8MiB live, 70.4MiB allocated

Counts

21 → 612

Calls

Call 1

Inputs
#<alt (/ (/ c (neg b_2)) b_2)>
#<alt (+ (neg b_2) (fabs (* b_2 (sqrt (+ (* a (/ (/ c (neg b_2)) b_2)) 1)))))>
#<alt (/ (+ (neg b_2) (fabs (* b_2 (sqrt (+ (* a (/ (/ c (neg b_2)) b_2)) 1))))) a)>
#<alt (neg b_2)>
#<alt (/ (neg b_2) a)>
#<alt (/ (* (/ -1/2 b_2) (* a c)) a)>
#<alt (* (/ -1/2 b_2) (* a c))>
#<alt (/ -1/2 b_2)>
#<alt (* a c)>
#<alt (+ (* -1/8 (/ (* a (* c c)) (* b_2 b_2))) (* c -1/2))>
#<alt (/ (+ (* -1/8 (/ (* a (* c c)) (* b_2 b_2))) (* c -1/2)) b_2)>
#<alt (/ (* a (* c c)) (* b_2 b_2))>
#<alt (* a (* c c))>
#<alt (+ (* (/ (* b_2 b_2) (neg b_2)) (* a (/ c b_2))) (* b_2 b_2))>
#<alt (/ (* b_2 b_2) (neg b_2))>
#<alt (+ (neg b_2) (sqrt (+ (* (/ (* b_2 b_2) (neg b_2)) (* a (/ c b_2))) (* b_2 b_2))))>
#<alt (/ (+ (neg b_2) (sqrt (+ (* (/ (* b_2 b_2) (neg b_2)) (* a (/ c b_2))) (* b_2 b_2)))) a)>
#<alt (sqrt (+ (* a (/ (/ c (neg b_2)) b_2)) 1))>
#<alt (* b_2 (sqrt (+ (* a (/ (/ c (neg b_2)) b_2)) 1)))>
#<alt (* b_2 b_2)>
#<alt (sqrt (+ (* (/ (* b_2 b_2) (neg b_2)) (* a (/ c b_2))) (* b_2 b_2)))>

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

Calls

153 calls:

Time	Variable		Point	Expression
53.0ms	a	@	inf	(* b_2 (sqrt (+ (* a (/ (/ c (neg b_2)) b_2)) 1)))
33.0ms	b_2	@	-inf	(/ (neg b_2) a)
1.0ms	a	@	0	(+ (* -1/8 (/ (* a (* c c)) (* b_2 b_2))) (* c -1/2))
1.0ms	b_2	@	0	(+ (* -1/8 (/ (* a (* c c)) (* b_2 b_2))) (* c -1/2))
1.0ms	c	@	inf	(+ (* -1/8 (/ (* a (* c c)) (* b_2 b_2))) (* c -1/2))

rewrite758.0ms (7.1%)

Memory

-128.3MiB live, 700.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 534×	`accelerator-lowering-fma.f32`
5 534×	`accelerator-lowering-fma.f64`
4 892×	`/-lowering-/.f32`
4 892×	`/-lowering-/.f64`
4 400×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	220
1	217	216
2	1731	194
0	8305	184

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 862

Calls

Call 1

Inputs
(/ (/ c (neg b_2)) b_2)
(+ (neg b_2) (fabs (* b_2 (sqrt (+ (* a (/ (/ c (neg b_2)) b_2)) 1)))))
(/ (+ (neg b_2) (fabs (* b_2 (sqrt (+ (* a (/ (/ c (neg b_2)) b_2)) 1))))) a)
(neg b_2)
(/ (neg b_2) a)
(/ (* (/ -1/2 b_2) (* a c)) a)
(* (/ -1/2 b_2) (* a c))
(/ -1/2 b_2)
(* a c)
(+ (* -1/8 (/ (* a (* c c)) (* b_2 b_2))) (* c -1/2))
(/ (+ (* -1/8 (/ (* a (* c c)) (* b_2 b_2))) (* c -1/2)) b_2)
(/ (* a (* c c)) (* b_2 b_2))
(* a (* c c))
(+ (* (/ (* b_2 b_2) (neg b_2)) (* a (/ c b_2))) (* b_2 b_2))
(/ (* b_2 b_2) (neg b_2))
(+ (neg b_2) (sqrt (+ (* (/ (* b_2 b_2) (neg b_2)) (* a (/ c b_2))) (* b_2 b_2))))
(/ (+ (neg b_2) (sqrt (+ (* (/ (* b_2 b_2) (neg b_2)) (* a (/ c b_2))) (* b_2 b_2)))) a)
(sqrt (+ (* a (/ (/ c (neg b_2)) b_2)) 1))
(* b_2 (sqrt (+ (* a (/ (/ c (neg b_2)) b_2)) 1)))
(* b_2 b_2)
(sqrt (+ (* (/ (* b_2 b_2) (neg b_2)) (* a (/ c b_2))) (* b_2 b_2)))

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

simplify475.0ms (4.4%)

Memory

54.5MiB live, 937.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 558×	`accelerator-lowering-fma.f32`
11 558×	`accelerator-lowering-fma.f64`
7 256×	`-lowering-.f32`
7 256×	`-lowering-.f64`
3 958×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	685	8980
1	2203	8733
2	7413	8706
0	8061	8407

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 612

Calls

Call 1

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

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

eval304.0ms (2.8%)

Memory: 13.0MiB live, 603.9MiB allocated
Compiler: Compiled 42 721 to 4 820 computations (88.7% saved)

prune233.0ms (2.2%)

Memory

-17.4MiB live, 549.6MiB allocated

Pruning

43 alts after pruning (34 fresh and 9 done)

	Pruned	Kept	Total
New	1 742	12	1 754
Fresh	10	22	32
Picked	1	4	5
Done	0	5	5
Total	1 753	43	1 796

Accuracy

94.2%

Counts

1 796 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.2%	(fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))
	36.9%	(/.f64 (fma.f64 (sqrt.f64 (.f64 (.f64 b_2 (sqrt.f64 (fma.f64 a (/.f64 c (.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64)))) b_2)) (sqrt.f64 (sqrt.f64 (fma.f64 a (/.f64 c (.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64)))) (neg.f64 b_2)) a)
	30.7%	(/.f64 (/.f64 (-.f64 (.f64 (fma.f64 b_2 (.f64 (/.f64 c (neg.f64 b_2)) a) (.f64 b_2 b_2)) (sqrt.f64 (fma.f64 b_2 (.f64 (/.f64 c (neg.f64 b_2)) a) (.f64 b_2 b_2)))) (.f64 b_2 (.f64 b_2 b_2))) (+.f64 (fma.f64 b_2 (.f64 (/.f64 c (neg.f64 b_2)) a) (.f64 b_2 b_2)) (fma.f64 b_2 b_2 (.f64 (sqrt.f64 (fma.f64 b_2 (.f64 (/.f64 c (neg.f64 b_2)) a) (.f64 b_2 b_2))) b_2)))) a)
	53.7%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 c (*.f64 b_2 b_2))) #s(literal 1 binary64))) (fabs.f64 b_2) (neg.f64 b_2))))
	20.3%	(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 (.f64 (/.f64 c (neg.f64 b_2)) a) (.f64 b_2 b_2))) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 (.f64 (/.f64 c (neg.f64 b_2)) a) (.f64 b_2 b_2))))))
	45.2%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 (.f64 (/.f64 c (neg.f64 b_2)) a) (.f64 b_2 b_2))) b_2) a)
	31.2%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (/.f64 (.f64 c (.f64 b_2 b_2)) (neg.f64 b_2)) (/.f64 a b_2) (*.f64 b_2 b_2)))) a)
✓	34.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (/.f64 (.f64 b_2 b_2) (neg.f64 b_2)) (.f64 a (/.f64 c b_2)) (*.f64 b_2 b_2)))) a)
	43.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (/.f64 c b_2) (neg.f64 (.f64 b_2 a)) (.f64 b_2 b_2)))) a)
	46.5%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 (neg.f64 (.f64 b_2 a)) c) (/.f64 #s(literal 1 binary64) b_2) (*.f64 b_2 b_2)))) a)
	30.8%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (/.f64 (.f64 c (.f64 b_2 (.f64 b_2 a))) (neg.f64 (.f64 b_2 b_2)))))) a)
✓	53.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	34.9%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	43.7%	(/.f64 (+.f64 (neg.f64 b_2) (fabs.f64 (fma.f64 c (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2) b_2))) a)
✓	56.1%	(/.f64 (+.f64 (neg.f64 b_2) (fabs.f64 (*.f64 b_2 (sqrt.f64 (fma.f64 a (/.f64 (/.f64 c (neg.f64 b_2)) b_2) #s(literal 1 binary64)))))) a)
	53.4%	(/.f64 (+.f64 (neg.f64 b_2) (fabs.f64 (.f64 b_2 (sqrt.f64 (fma.f64 a (.f64 (/.f64 #s(literal -1 binary64) (*.f64 b_2 b_2)) c) #s(literal 1 binary64)))))) a)
	26.7%	(/.f64 (.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) c) a)
✓	26.1%	(/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) (.f64 a c)) a)
	26.7%	(/.f64 (.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 a (/.f64 #s(literal 1 binary64) b_2))) a)
	32.4%	(/.f64 (.f64 c (fma.f64 (.f64 #s(literal -1/8 binary64) a) (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64))) b_2)
✓	12.4%	(/.f64 (.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2) (.f64 #s(literal -1/8 binary64) (.f64 a c)))) (.f64 b_2 (.f64 b_2 b_2)))
	9.6%	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
	32.6%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	35.4%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
✓	28.0%	(/.f64 (.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)) a)
✓	12.9%	(/.f64 (neg.f64 b_2) a)
	23.0%	(/.f64 (fabs.f64 (.f64 b_2 (sqrt.f64 (fma.f64 a (/.f64 c (.f64 (neg.f64 b_2) b_2)) #s(literal 1 binary64))))) a)
	28.4%	(/.f64 a (.f64 a (/.f64 b_2 (.f64 c #s(literal -1/2 binary64)))))
	27.8%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 b_2 (/.f64 #s(literal -2 binary64) a))) c))
	45.1%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 (.f64 (/.f64 c (neg.f64 b_2)) a) (.f64 b_2 b_2))) b_2)))
	35.3%	(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
	27.5%	(.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 a)) a)
	24.5%	(.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) a) (/.f64 a b_2))
	35.3%	(.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 b_2 #s(literal -2 binary64))) #s(literal -1 binary64)))
	45.1%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (fma.f64 b_2 (.f64 (/.f64 c (neg.f64 b_2)) a) (*.f64 b_2 b_2))) b_2))
✓	35.3%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
	27.2%	(.f64 (.f64 c a) (/.f64 (/.f64 #s(literal -1/2 binary64) b_2) a))
	28.9%	(.f64 (.f64 c #s(literal -1/2 binary64)) (/.f64 a (*.f64 b_2 a)))
	27.0%	(.f64 (.f64 a c) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 a)))
	34.6%	(.f64 b_2 (fma.f64 c (/.f64 #s(literal 1/2 binary64) (.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
	26.5%	(neg.f64 (.f64 b_2 (/.f64 (fma.f64 b_2 #s(literal -2 binary64) (/.f64 (.f64 (.f64 a c) #s(literal 1/2 binary64)) b_2)) (.f64 (neg.f64 a) b_2))))
	23.0%	(exp.f64 (.f64 (log.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 (.f64 (/.f64 c (neg.f64 b_2)) a) (*.f64 b_2 b_2))) b_2))) #s(literal -1 binary64)))
	18.0%	(exp.f64 (.f64 (log.f64 (/.f64 a (.f64 b_2 #s(literal -2 binary64)))) #s(literal -1 binary64)))

Compiler

Compiled 1 890 to 766 computations (59.5% saved)

regimes81.0ms (0.8%)

Memory

8.0MiB live, 162.2MiB allocated

Counts

67 → 3

Calls

Call 1

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

Outputs

(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)

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

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

Calls

4 calls:

22.0ms	a
19.0ms	c
19.0ms	b_2
17.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
56.1%	1	`a`
88.7%	3	`b_2`
62.4%	3	`c`
81.3%	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)

regimes10.0ms (0.1%)

Memory

18.9MiB live, 18.9MiB allocated

Counts

28 → 3

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

b_2

Results

Accuracy	Segments	Branch
88.4%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Memory

-21.5MiB live, 15.3MiB allocated

Counts

23 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

10.0ms

b_2

Results

Accuracy	Segments	Branch
84.0%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

20 → 3

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

b_2

Results

Accuracy	Segments	Branch
84.0%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes15.0ms (0.1%)

Memory

-14.9MiB live, 21.9MiB allocated

Counts

18 → 2

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
5.0ms	b_2

Results

Accuracy	Segments	Branch
47.5%	3	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
65.5%	2	`b_2`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes8.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB allocated

Counts

3 → 1

Calls

Call 1

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

Outputs
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
35.4%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
35.4%	1	`a`
35.4%	1	`c`
35.4%	1	`b_2`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes7.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Counts

2 → 1

Calls

Call 1

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

Outputs
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)

Calls

4 calls:

2.0ms	c
2.0ms	a
2.0ms	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
35.3%	1	`c`
35.3%	1	`b_2`
35.3%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
35.3%	1	`a`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes8.0ms (0.1%)

Memory

-24.0MiB live, 13.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 (neg.f64 b_2) a)

Outputs
(/.f64 (neg.f64 b_2) a)

Calls

4 calls:

3.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
1.0ms	b_2
1.0ms	c
1.0ms	a

Results

Accuracy	Segments	Branch
12.9%	1	`c`
12.9%	1	`b_2`
12.9%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
12.9%	1	`a`

Compiler

Compiled 28 to 19 computations (32.1% saved)

bsearch63.0ms (0.6%)

Memory

-44.0MiB live, 71.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
42.0ms	1.4951606184785087e-58	1.2185303385426342e-45
14.0ms	-4.62113156264821e+43	-1.8594796927895646e+39

Samples

13.0ms	211×	0	valid
6.0ms	44×	1	valid
5.0ms	30×	2	valid
2.0ms	31×	0	invalid
1.0ms	3×	3	valid

Compiler

Compiled 577 to 390 computations (32.4% saved)

Precisions

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

ival-mult: 5.0ms (27.4% of total)

ival-div: 3.0ms (16.5% of total)

ival-sqrt: 3.0ms (16.5% of total)

adjust: 2.0ms (11% of total)

ival-sub: 2.0ms (11% of total)

ival-neg: 2.0ms (11% of total)

ival-add: 2.0ms (11% of total)

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

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

bsearch51.0ms (0.5%)

Memory

11.7MiB live, 80.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	1.4951606184785087e-58	1.2185303385426342e-45
13.0ms	-4.62113156264821e+43	-1.8594796927895646e+39

Samples

14.0ms	220×	0	valid
8.0ms	39×	1	valid
5.0ms	27×	2	valid
2.0ms	34×	0	invalid
0.0ms	2×	3	valid

Compiler

Compiled 487 to 340 computations (30.2% saved)

Precisions

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

ival-mult: 5.0ms (28.1% of total)

ival-div: 3.0ms (16.8% of total)

ival-sqrt: 3.0ms (16.8% of total)

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

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

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

adjust: 1.0ms (5.6% of total)

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

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

bsearch31.0ms (0.3%)

Memory

2.7MiB live, 46.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	5.676287703897402e-59	1.4951606184785087e-58
7.0ms	-3.030596260961516e-62	-1.6781624595293496e-62

Samples

16.0ms	112×	0	valid
3.0ms	14×	2	valid
2.0ms	18×	1	valid
2.0ms	25×	0	invalid

Compiler

Compiled 246 to 181 computations (26.4% saved)

Precisions

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

ival-div: 10.0ms (56.8% of total)

ival-sqrt: 2.0ms (11.4% of total)

ival-mult: 2.0ms (11.4% of total)

adjust: 1.0ms (5.7% of total)

ival-sub: 1.0ms (5.7% of total)

ival-neg: 1.0ms (5.7% of total)

ival-add: 1.0ms (5.7% of total)

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

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

bsearch24.0ms (0.2%)

Memory

0.9MiB live, 39.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	5.676287703897402e-59	1.4951606184785087e-58
8.0ms	-3.030596260961516e-62	-1.6781624595293496e-62

Samples

7.0ms	105×	0	valid
5.0ms	27×	1	valid
2.0ms	11×	2	valid
2.0ms	25×	0	invalid
0.0ms	1×	3	valid

Compiler

Compiled 226 to 169 computations (25.2% saved)

Precisions

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

ival-div: 4.0ms (34.6% of total)

ival-mult: 3.0ms (26% of total)

adjust: 1.0ms (8.7% of total)

ival-sub: 1.0ms (8.7% of total)

ival-neg: 1.0ms (8.7% of total)

ival-sqrt: 1.0ms (8.7% of total)

ival-add: 1.0ms (8.7% of total)

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

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

bsearch26.0ms (0.2%)

Memory

5.0MiB live, 43.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	-5.016683665998755e-303	2.181848952291883e-303

Samples

10.0ms	160×	0	valid
6.0ms	75×	0	invalid

Compiler

Compiled 199 to 156 computations (21.6% saved)

Precisions

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

ival-mult: 3.0ms (28.6% of total)

ival-sqrt: 3.0ms (28.6% of total)

ival-sub: 1.0ms (9.5% of total)

ival-div: 1.0ms (9.5% of total)

ival-add: 1.0ms (9.5% of total)

ival-neg: 1.0ms (9.5% of total)

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

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

simplify10.0ms (0.1%)

Memory

21.4MiB live, 21.4MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
16×	`+-commutative_binary64`
12×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	58	160
1	81	156
2	96	156
3	104	156
4	107	156

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -45000000000000000008204506674673308638642176 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 6039028053441743/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 (.f64 c (fma.f64 (.f64 #s(literal -1/8 binary64) a) (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64))) b_2)))
(if (<=.f64 b_2 #s(literal -45000000000000000008204506674673308638642176 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 5265614583427859/3291009114642412084309938365114701009965471731267159726697218048 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -4284307301780699/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a)) (if (<=.f64 b_2 #s(literal 8480865910936245/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 a (neg.f64 c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -2894802230932905/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 8141631274498795/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 a (neg.f64 c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal 3643240559531591/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(/.f64 (neg.f64 b_2) a)

Outputs
(if (<=.f64 b_2 #s(literal -45000000000000000008204506674673308638642176 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 6039028053441743/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 (.f64 c (fma.f64 (.f64 #s(literal -1/8 binary64) a) (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64))) b_2)))
(if (<=.f64 b_2 #s(literal -45000000000000000008204506674673308638642176 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 6039028053441743/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (.f64 c (fma.f64 (.f64 a #s(literal -1/8 binary64)) (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64))) b_2)))
(if (<=.f64 b_2 #s(literal -45000000000000000008204506674673308638642176 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 5265614583427859/3291009114642412084309938365114701009965471731267159726697218048 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -45000000000000000008204506674673308638642176 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 5265614583427859/3291009114642412084309938365114701009965471731267159726697218048 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -4284307301780699/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a)) (if (<=.f64 b_2 #s(literal 8480865910936245/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 a (neg.f64 c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -4284307301780699/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a)) (if (<=.f64 b_2 #s(literal 8480865910936245/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -2894802230932905/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 8141631274498795/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 a (neg.f64 c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -2894802230932905/115792089237316195423570985008687907853269984665640564039457584007913129639936 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 8141631274498795/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal 3643240559531591/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(/.f64 (neg.f64 b_2) a)
(neg.f64 (/.f64 b_2 a))

soundness1.1s (9.9%)

Memory

-19.8MiB live, 631.4MiB allocated

Rules

12 128×	`accelerator-lowering-fma.f32`
12 128×	`accelerator-lowering-fma.f64`
11 712×	`accelerator-lowering-fma.f32`
11 712×	`accelerator-lowering-fma.f64`
11 558×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	705	9768
1	2287	9476
2	7677	9476
0	8168	9153
0	508	3200
1	1606	3160
2	5520	3144
0	8782	3008
0	685	8980
1	2203	8733
2	7413	8706
0	8061	8407
0	40	216
1	231	211
2	1952	208
0	9001	198
0	620	7288
1	1946	7227
2	6463	7157
0	8298	6864

Stop Event

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

Compiler

Compiled 388 to 215 computations (44.6% saved)

preprocess83.0ms (0.8%)

Memory: -13.8MiB live, 178.7MiB allocated
Compiler: Compiled 534 to 186 computations (65.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	50
1	21	48
2	38	48
3	67	48
4	106	48
5	182	48
6	314	48
7	460	48
8	802	48
9	915	48
10	947	48
11	958	48
12	959	48
0	959	48

Iter	Nodes	Cost
0	10	50
1	21	48
2	38	48
3	67	48
4	106	48
5	182	48
6	314	48
7	460	48
8	802	48
9	915	48
10	947	48
11	958	48
12	959	48
0	959	48

analyze137.0ms (1.3%)

sample1.8s (16.7%)

preprocess118.0ms (1.1%)

explain148.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify36.0ms (0.3%)

localize47.0ms (0.4%)

series40.0ms (0.4%)

rewrite254.0ms (2.4%)

simplify398.0ms (3.7%)

eval71.0ms (0.7%)

prune110.0ms (1%)

simplify203.0ms (1.9%)

localize201.0ms (1.9%)

series61.0ms (0.6%)

rewrite384.0ms (3.6%)

simplify579.0ms (5.4%)

eval195.0ms (1.8%)

prune247.0ms (2.3%)

simplify152.0ms (1.4%)

localize258.0ms (2.4%)

series38.0ms (0.4%)

rewrite461.0ms (4.3%)

simplify524.0ms (4.9%)

eval255.0ms (2.4%)

prune301.0ms (2.8%)

simplify172.0ms (1.6%)

localize173.0ms (1.6%)

series110.0ms (1%)

rewrite758.0ms (7.1%)

simplify475.0ms (4.4%)

eval304.0ms (2.8%)

prune233.0ms (2.2%)

regimes81.0ms (0.8%)

regimes10.0ms (0.1%)

regimes11.0ms (0.1%)

regimes7.0ms (0.1%)

regimes15.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch63.0ms (0.6%)

bsearch51.0ms (0.5%)

bsearch31.0ms (0.3%)

bsearch24.0ms (0.2%)

bsearch26.0ms (0.2%)

simplify10.0ms (0.1%)

soundness1.1s (9.9%)

preprocess83.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	50
1	21	48
2	38	48
3	67	48
4	106	48
5	182	48
6	314	48
7	460	48
8	802	48
9	915	48
10	947	48
11	958	48
12	959	48
0	959	48