Metrics for quad2p (problem 3.2.1, positive)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze150.0ms (1.7%)

Memory

-1.7MiB live, 117.4MiB 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)

sample1.3s (14.9%)

Memory

70.3MiB live, 1 507.1MiB allocated

Samples

379.0ms	5 461×	0	valid
242.0ms	1 244×	2	valid
182.0ms	1 368×	1	valid
83.0ms	1 124×	0	invalid
51.0ms	183×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 657.0ms

ival-mult: 139.0ms (21.2% of total)

ival-sqrt: 113.0ms (17.2% of total)

adjust: 101.0ms (15.4% of total)

ival-div: 95.0ms (14.5% of total)

ival-sub: 79.0ms (12% of total)

ival-add: 63.0ms (9.6% of total)

ival-neg: 56.0ms (8.5% of total)

ival-true: 7.0ms (1.1% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain201.0ms (2.2%)

Memory

-60.8MiB live, 108.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
106	-	3	(1.495892797607832e-211 -2.5981813750669266e-269 -1.8364632188109913e-103)	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
76	-	0	-	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
15	-	2	(-2.269275486045133e-140 1.1308527019799002e-32 5.356349228772582e-212)	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
5	-	0	-	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`
0	-	0	-	`(*.f64 b_2 b_2)`
0	-	0	-	`a`
0	-	0	-	`(neg.f64 b_2)`
0	-	0	-	`b_2`
0	-	0	-	`(*.f64 a c)`
0	-	0	-	`c`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	oflow-rescue	96	0
↳	`(*.f64 b_2 b_2)`	overflow	74
↳	`(*.f64 a c)`	overflow	32
↳	`(-.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	76	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`	u/n	13	0
↳	`(*.f64 b_2 b_2)`	underflow	34
↳	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	underflow	22
↳	`(*.f64 a c)`	underflow	44
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	7
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	uflow-rescue	7	0
↳	`(*.f64 b_2 b_2)`	underflow	34
↳	`(*.f64 a c)`	underflow	44
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	7
`-.f64`	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	nan-rescue	5	0
↳	`(*.f64 b_2 b_2)`	overflow	74
↳	`(*.f64 a c)`	overflow	32

Confusion

	Predicted +	Predicted -
+	145	3
-	16	92

Precision

0.9006211180124224

Recall

0.9797297297297297

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	145	0	3
-	16	0	92

Precision?

0.9006211180124224

Recall?

0.9797297297297297

Freqs

test

number	freq
0	95
1	127
2	32
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms	12×	3	valid
24.0ms	322×	0	valid
15.0ms	76×	2	valid
14.0ms	102×	1	valid

Compiler

Compiled 117 to 34 computations (70.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-neg: 33.0ms (51% of total)

ival-mult: 8.0ms (12.4% of total)

ival-sqrt: 6.0ms (9.3% of total)

adjust: 5.0ms (7.7% of total)

ival-div: 5.0ms (7.7% of total)

ival-sub: 4.0ms (6.2% of total)

ival-add: 4.0ms (6.2% of total)

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

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

preprocess116.0ms (1.3%)

Memory

-14.3MiB live, 23.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify26.0ms (0.3%)

Memory

11.8MiB live, 11.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize77.0ms (0.9%)

Memory

3.8MiB live, 39.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	1.0000000000000002	(-.f64 (.f64 b_2 b_2) (.f64 a c))
accuracy	3.4296179410732526	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
accuracy	17.019476371241648	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
accuracy	24.250156335026222	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Samples

46.0ms	51×	1	valid
11.0ms	161×	0	valid
7.0ms	38×	2	valid
1.0ms	6×	3	valid

Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-div: 42.0ms (75% of total)

ival-mult: 4.0ms (7.1% of total)

ival-sqrt: 3.0ms (5.4% of total)

ival-sub: 2.0ms (3.6% of total)

adjust: 2.0ms (3.6% of total)

ival-add: 2.0ms (3.6% of total)

ival-neg: 1.0ms (1.8% of total)

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

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

series28.0ms (0.3%)

Memory

-22.1MiB live, 22.6MiB allocated

Counts

5 → 156

Calls

Call 1

Inputs
#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())
#s(alt (neg.f64 b_2) (patch (neg.f64 b_2) #<representation binary64>) () ())
#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())

Outputs
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(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))))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b_2)) (taylor 0 a) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))) (taylor 0 a) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(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)))))) (taylor 0 a) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 a) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt b_2 (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (+ b_2 (* -1/2 (/ (* a c) b_2))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (pow b_2 2) (taylor 0 a) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a c)) (pow b_2 2)) (taylor 0 a) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a c)) (pow b_2 2)) (taylor 0 a) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a c)) (pow b_2 2)) (taylor 0 a) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -1)) (taylor inf a) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(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))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -1)) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a c)) (taylor inf a) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ (pow b_2 2) a) c)) (taylor inf a) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ (pow b_2 2) a) c)) (taylor inf a) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ (pow b_2 2) a) c)) (taylor inf a) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(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))))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(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))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a c)) (taylor -inf a) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c)))) (taylor -inf a) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c)))) (taylor -inf a) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c)))) (taylor -inf a) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(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))))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b_2)) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(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)))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt b_2 (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (+ b_2 (* -1/2 (/ (* a c) b_2))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (pow b_2 2) (taylor 0 c) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a c)) (pow b_2 2)) (taylor 0 c) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a c)) (pow b_2 2)) (taylor 0 c) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a c)) (pow b_2 2)) (taylor 0 c) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -1)) (taylor inf c) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(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))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -1)) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a c)) (taylor inf c) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ (pow b_2 2) c) a)) (taylor inf c) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ (pow b_2 2) c) a)) (taylor inf c) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ (pow b_2 2) c) a)) (taylor inf c) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf c) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())) ())
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#s(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))))))) (taylor -inf b_2) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 b_2) (taylor -inf b_2) (#s(alt (neg.f64 b_2) (patch (neg.f64 b_2) #<representation binary64>) () ())) ())
#s(alt (* -1 b_2) (taylor -inf b_2) (#s(alt (neg.f64 b_2) (patch (neg.f64 b_2) #<representation binary64>) () ())) ())
#s(alt (* -1 b_2) (taylor -inf b_2) (#s(alt (neg.f64 b_2) (patch (neg.f64 b_2) #<representation binary64>) () ())) ())
#s(alt (* -1 b_2) (taylor -inf b_2) (#s(alt (neg.f64 b_2) (patch (neg.f64 b_2) #<representation binary64>) () ())) ())
#s(alt (* -1 b_2) (taylor -inf b_2) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))) (taylor -inf b_2) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf b_2) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor -inf b_2) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (pow b_2 2) (taylor -inf b_2) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) (taylor -inf b_2) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) (taylor -inf b_2) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) (taylor -inf b_2) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	b_2	@	inf	((+ (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)))
2.0ms	b_2	@	0	((+ (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)))
2.0ms	a	@	-inf	((+ (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)))
2.0ms	a	@	inf	((+ (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)))
2.0ms	c	@	inf	((+ (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)))

simplify188.0ms (2.1%)

Memory

31.3MiB live, 138.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	508	3200
1	1606	3160
2	5523	3144
0	8787	3008

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 153

Calls

Call 1

Inputs
(* -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)))))))))
(* -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))))))))
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))))))))
(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))
(* (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)))
(* (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)))))
(* (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 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(* -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 (* (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 (* (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)))))))
(* -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))))
(* -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)))))))))
(* -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))))
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))))))))
(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))
(* (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)))
(* (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))))))
(* (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 (* a c))
(* c (- (/ (pow b_2 2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(* -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 (* (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 (* (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))
(* -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))))
(* (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)))
(* (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 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)))))))))
(* -1 (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(* -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)
(* -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)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
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)))))))
(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)))))
(* -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))))))))
(* -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 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -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))))))))
(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)))))

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

rewrite188.0ms (2.1%)

Memory

-15.6MiB live, 143.3MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 449

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) #s(literal 2 binary64))) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (fma.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2 (fma.f64 c a (.f64 b_2 b_2))) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) (pow.f64 b_2 #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2)))) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2))
(.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 1 binary64)) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))))
(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) #s(literal -1 binary64))))
(.f64 (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))))
(.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) #s(literal -1 binary64)) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))
(.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64))))
(.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2))
(.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2))
(.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) (.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal -1 binary64))))
(.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))))
(.f64 (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (neg.f64 (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) #s(literal -1 binary64)))
(.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)))
(.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) #s(literal -1 binary64))
(.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal 1 binary64))
(/.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2)))) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)))
(/.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) #s(literal -1 binary64)))
(/.f64 (.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 2 binary64)) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) #s(literal -1 binary64))) (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))))
(/.f64 (.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64))) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) #s(literal -1 binary64))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (pow.f64 b_2 #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64))) (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) #s(literal -1 binary64))) (-.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))))
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b_2
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(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(fma.f64 (.f64 c a) #s(literal -1 binary64) (.f64 b_2 b_2))
(fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))
(fma.f64 c a (*.f64 b_2 b_2))
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(fma.f64 a c (*.f64 b_2 b_2))
(fma.f64 (.f64 b_2 b_2) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))))
(fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))
(fma.f64 (.f64 b_2 b_2) #s(literal -1 binary64) (.f64 (neg.f64 (neg.f64 c)) a))
(fma.f64 (.f64 b_2 b_2) #s(literal -1 binary64) (.f64 #s(literal 1 binary64) (*.f64 c a)))
(fma.f64 (.f64 b_2 b_2) #s(literal -1 binary64) (.f64 (neg.f64 c) (neg.f64 a)))
(fma.f64 (.f64 b_2 b_2) #s(literal -1 binary64) (.f64 (neg.f64 a) (neg.f64 c)))
(fma.f64 (.f64 b_2 b_2) #s(literal -1 binary64) (neg.f64 (.f64 (neg.f64 a) c)))
(fma.f64 (.f64 b_2 b_2) #s(literal -1 binary64) (.f64 (neg.f64 a) c))
(fma.f64 (.f64 b_2 b_2) #s(literal -1 binary64) (.f64 c a))
(fma.f64 (.f64 b_2 b_2) #s(literal 1 binary64) (.f64 (neg.f64 (neg.f64 c)) a))
(fma.f64 (.f64 b_2 b_2) #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (*.f64 c a)))
(fma.f64 (.f64 b_2 b_2) #s(literal 1 binary64) (.f64 (neg.f64 c) (neg.f64 a)))
(fma.f64 (.f64 b_2 b_2) #s(literal 1 binary64) (.f64 (neg.f64 a) (neg.f64 c)))
(fma.f64 (.f64 b_2 b_2) #s(literal 1 binary64) (neg.f64 (.f64 (neg.f64 a) c)))
(fma.f64 (.f64 b_2 b_2) #s(literal 1 binary64) (.f64 (neg.f64 a) c))
(fma.f64 (.f64 b_2 b_2) #s(literal 1 binary64) (.f64 c a))
(fma.f64 b_2 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))
(fma.f64 b_2 b_2 (*.f64 (neg.f64 (neg.f64 c)) a))
(fma.f64 b_2 b_2 (.f64 #s(literal 1 binary64) (.f64 c a)))
(fma.f64 b_2 b_2 (*.f64 (neg.f64 c) (neg.f64 a)))
(fma.f64 b_2 b_2 (*.f64 (neg.f64 a) (neg.f64 c)))
(fma.f64 b_2 b_2 (neg.f64 (*.f64 (neg.f64 a) c)))
(fma.f64 b_2 b_2 (*.f64 (neg.f64 a) c))
(fma.f64 b_2 b_2 (*.f64 c a))
(sqrt.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (.f64 b_2 b_2))) (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))
(-.f64 #s(literal 0 binary64) (fma.f64 c a (*.f64 b_2 b_2)))
(-.f64 (.f64 (neg.f64 a) c) (.f64 b_2 b_2))
(-.f64 (.f64 c a) (.f64 b_2 b_2))
(-.f64 (.f64 b_2 b_2) (.f64 (neg.f64 a) c))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(fabs.f64 (fma.f64 c a (*.f64 b_2 b_2)))
(hypot.f64 (pow.f64 (.f64 c a) #s(literal 1 binary64)) (.f64 b_2 b_2))
(hypot.f64 (.f64 (neg.f64 a) c) (.f64 b_2 b_2))
(hypot.f64 (.f64 c a) (.f64 b_2 b_2))
(hypot.f64 (.f64 b_2 b_2) (pow.f64 (.f64 c a) #s(literal 1 binary64)))
(hypot.f64 (.f64 b_2 b_2) (.f64 (neg.f64 a) c))
(hypot.f64 (.f64 b_2 b_2) (.f64 c a))
(+.f64 (-.f64 (.f64 b_2 b_2) #s(literal 0 binary64)) (.f64 c a))
(+.f64 (neg.f64 (.f64 (neg.f64 a) c)) (.f64 b_2 b_2))
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))))
(+.f64 (.f64 (neg.f64 a) c) (.f64 b_2 b_2))
(+.f64 (.f64 c a) (.f64 b_2 b_2))
(+.f64 (.f64 b_2 b_2) (.f64 (neg.f64 (neg.f64 c)) a))
(+.f64 (.f64 b_2 b_2) (.f64 #s(literal 1 binary64) (*.f64 c a)))
(+.f64 (.f64 b_2 b_2) (.f64 (neg.f64 c) (neg.f64 a)))
(+.f64 (.f64 b_2 b_2) (.f64 (neg.f64 a) (neg.f64 c)))
(+.f64 (.f64 b_2 b_2) (neg.f64 (.f64 (neg.f64 a) c)))
(+.f64 (.f64 b_2 b_2) (.f64 (neg.f64 a) c))
(+.f64 (.f64 b_2 b_2) (.f64 c a))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 c a (.f64 b_2 b_2)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))))

eval487.0ms (5.4%)

Memory: 18.9MiB live, 102.8MiB allocated
Compiler: Compiled 15 131 to 2 191 computations (85.5% saved)

prune139.0ms (1.5%)

Memory

-11.5MiB live, 112.4MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

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

Accuracy

88.7%

Counts

603 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	32.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))) a)
	20.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))) a)
	19.6%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (.f64 b_2 b_2))) (.f64 (fma.f64 c a (.f64 b_2 b_2)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64))))) a)
	19.8%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64))))) a)
✓	46.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	36.6%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2)))) a)
▶	27.8%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
	25.7%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
	10.9%	(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 c b_2) b_2))) a)
	31.8%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
▶	32.2%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
▶	33.9%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (*.f64 c #s(literal -1/2 binary64))) b_2))
▶	39.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
	31.9%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))

Compiler

Compiled 461 to 328 computations (28.9% saved)

simplify157.0ms (1.7%)

Memory

-17.4MiB live, 60.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

3 990×	`lower-fma.f32`
3 984×	`lower-fma.f64`
3 020×	`lower-*.f32`
3 004×	`lower-*.f64`
1 138×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	401
0	76	401
1	122	393
2	220	385
3	538	374
4	1131	374
5	1885	374
6	3493	358
7	5594	354
8	7697	354
0	8069	351

Stop Event

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

Calls

Call 1

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

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

localize142.0ms (1.6%)

Memory

18.0MiB live, 211.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	17.019476371241648	(+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))))))
accuracy	21.359178595146936	(/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2)))
accuracy	22.90017656071402	(/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2)))
accuracy	24.250156335026222	(sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))
accuracy	2.504290699004609	(fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (*.f64 c #s(literal -1/2 binary64)))
accuracy	7.101236226113389	(/.f64 (.f64 (.f64 c c) a) b_2)
accuracy	8.847162725926765	(.f64 (.f64 c c) a)
accuracy	38.70417187927778	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (*.f64 c #s(literal -1/2 binary64))) b_2))
accuracy	3.4296179410732526	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
accuracy	17.019476371241648	(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
accuracy	24.250156335026222	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
accuracy	41.15907721462366	#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))
accuracy	0	(*.f64 #s(literal -2 binary64) b_2)
accuracy	3.4296179410732526	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
accuracy	43.465846606877605	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
accuracy	0	(/.f64 c b_2)
accuracy	0	(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
accuracy	38.84167591812957	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))

Samples

51.0ms	161×	0	valid
24.0ms	51×	1	valid
23.0ms	38×	2	valid
5.0ms	6×	3	valid

Compiler

Compiled 370 to 40 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 22.0ms (31.2% of total)

ival-div: 16.0ms (22.7% of total)

ival-add: 8.0ms (11.4% of total)

ival-neg: 7.0ms (9.9% of total)

adjust: 6.0ms (8.5% of total)

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

ival-pow2: 3.0ms (4.3% of total)

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

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

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

exact: 0.0ms (0% of total)

series95.0ms (1.1%)

Memory

-5.2MiB live, 109.5MiB allocated

Counts

22 → 684

Calls

Call 1

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

Outputs
#s(alt (* -1/2 (/ c b_2)) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) (patch #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b_2)) (taylor 0 a) (#s(alt (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (patch (/.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))) (taylor 0 a) (#s(alt (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (patch (/.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #<representation binary64>) () ())) ())
#s(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)))))) (taylor 0 a) (#s(alt (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (patch (/.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 a) (#s(alt (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (patch (/.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor 0 a) (#s(alt #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) (patch #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))) (taylor 0 a) (#s(alt #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) (patch #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 a) (#s(alt #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) (patch #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())) ())
#s(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))))))))) (taylor 0 a) (#s(alt #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) (patch #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) #<representation binary64>) () ())) ())
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#s(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)))))) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) b_2)) (patch #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (*.f64 c #s(literal -1/2 binary64))) b_2)) #<representation binary64>) () ())) ())
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#s(alt (* a (+ (* -1/2 (/ c b_2)) (* -1/2 (/ (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) b_2)))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))))) (pow b_2 3))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* a (+ (* -1/2 (/ (* a (+ (* 1/4 (/ (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 4))) (* 1/4 (/ (pow (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) 2) (pow b_2 2))))) b_2)) (* -1/4 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 3))))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1/2 (/ c b_2)) (* -1/2 (/ (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) b_2))) (taylor 0 a) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))))) (pow b_2 3)))))) (taylor 0 a) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) a) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor inf a) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) b_2)) (patch #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (*.f64 c #s(literal -1/2 binary64))) b_2)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor inf a) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) b_2)) (patch #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (*.f64 c #s(literal -1/2 binary64))) b_2)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (taylor inf a) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) b_2)) (patch #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (*.f64 c #s(literal -1/2 binary64))) b_2)) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf a) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) b_2)) (patch #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (*.f64 c #s(literal -1/2 binary64))) b_2)) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (taylor inf a) (#s(alt (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) b_2) (patch (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) b_2) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) b_2) (patch (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) b_2) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) b_2) (patch (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) b_2) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) b_2) (patch (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) b_2) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -1)) (taylor inf a) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) a) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -1)) (taylor inf a) (#s(alt (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2)))))) (patch (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (taylor inf a) (#s(alt (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2)))))) (patch (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) (taylor inf a) (#s(alt (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2)))))) (patch (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (pow b_2 4) c)) (/ (pow b_2 4) c)) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) (taylor inf a) (#s(alt (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2)))))) (patch (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a c)) (taylor inf a) (#s(alt #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (patch #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ (pow b_2 2) a) c)) (taylor inf a) (#s(alt #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (patch #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ (pow b_2 2) a) c)) (taylor inf a) (#s(alt #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (patch #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ (pow b_2 2) a) c)) (taylor inf a) (#s(alt #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (patch #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor inf a) (#s(alt (.f64 (.f64 c c) a) (patch (.f64 (.f64 c c) a) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor inf a) (#s(alt (.f64 (.f64 c c) a) (patch (.f64 (.f64 c c) a) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor inf a) (#s(alt (.f64 (.f64 c c) a) (patch (.f64 (.f64 c c) a) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor inf a) (#s(alt (.f64 (.f64 c c) a) (patch (.f64 (.f64 c c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a (pow c 2)) b_2) (taylor inf a) (#s(alt (/.f64 (.f64 (.f64 c c) a) b_2) (patch (/.f64 (.f64 (.f64 c c) a) b_2) #<representation binary64>) () ())) ())
#s(alt (/ (* a (pow c 2)) b_2) (taylor inf a) (#s(alt (/.f64 (.f64 (.f64 c c) a) b_2) (patch (/.f64 (.f64 (.f64 c c) a) b_2) #<representation binary64>) () ())) ())
#s(alt (/ (* a (pow c 2)) b_2) (taylor inf a) (#s(alt (/.f64 (.f64 (.f64 c c) a) b_2) (patch (/.f64 (.f64 (.f64 c c) a) b_2) #<representation binary64>) () ())) ())
#s(alt (/ (* a (pow c 2)) b_2) (taylor inf a) (#s(alt (/.f64 (.f64 (.f64 c c) a) b_2) (patch (/.f64 (.f64 (.f64 c c) a) b_2) #<representation binary64>) () ())) ())
#s(alt (/ (pow b_2 2) (* a c)) (taylor inf a) (#s(alt (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (patch (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (pow b_2 4) (* a (pow c 2)))) (/ (pow b_2 2) c)) a) (taylor inf a) (#s(alt (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (patch (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ (pow b_2 2) c) (/ (pow b_2 6) (* (pow a 2) (pow c 3)))) (/ (pow b_2 4) (* a (pow c 2)))) a) (taylor inf a) (#s(alt (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (patch (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (pow b_2 8) (* (pow a 3) (pow c 4)))) (/ (pow b_2 2) c)) (+ (* -1 (/ (pow b_2 6) (* (pow a 2) (pow c 3)))) (/ (pow b_2 4) (* a (pow c 2))))) a) (taylor inf a) (#s(alt (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (patch (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf a) (#s(alt (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))) (patch (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
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#s(alt (* a (- (+ c (/ (pow b_2 4) (* (pow a 2) c))) (/ (pow b_2 2) a))) (taylor inf a) (#s(alt (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))) (patch (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
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#s(alt (* c (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) b_2)) (patch #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (*.f64 c #s(literal -1/2 binary64))) b_2)) #<representation binary64>) () ())) ())
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#s(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)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) b_2)) (patch #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (*.f64 c #s(literal -1/2 binary64))) b_2)) #<representation binary64>) () ())) ())
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#s(alt (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) b_2) (patch (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) b_2) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) b_2) (patch (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) b_2) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) b_2) (patch (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) b_2) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) #<representation binary64>) () ())) ())
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#s(alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) b_2)) (* -1/4 (/ (* a (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))))) (pow b_2 3))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) b_2)) (* c (+ (* -1/2 (/ (* c (+ (* 1/4 (/ (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 4))) (* 1/4 (/ (pow (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) 2) (pow b_2 2))))) b_2)) (* -1/4 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 3))))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b_2)) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) a) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1/2 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (* a b_2))) (* 1/2 (/ 1 b_2)))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) a) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (* a b_2))) (* -1/4 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 3))))) (* 1/2 (/ 1 b_2)))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) a) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt (* a c)) (sqrt -1)) (taylor inf c) (#s(alt (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (patch (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (taylor inf c) (#s(alt (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (patch (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf c) (#s(alt (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (patch (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf c) (#s(alt (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (patch (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (taylor inf c) (#s(alt (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c)))) (taylor inf c) (#s(alt (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c)))) (taylor inf c) (#s(alt (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c)))) (taylor inf c) (#s(alt (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) b_2)) (patch #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (*.f64 c #s(literal -1/2 binary64))) b_2)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) b_2)) (patch #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (*.f64 c #s(literal -1/2 binary64))) b_2)) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) b_2)) (patch #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (*.f64 c #s(literal -1/2 binary64))) b_2)) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) b_2)) (patch #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (*.f64 c #s(literal -1/2 binary64))) b_2)) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (taylor inf c) (#s(alt (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) b_2) (patch (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) b_2) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c))))) (taylor inf c) (#s(alt (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) b_2) (patch (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) b_2) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c))))) (taylor inf c) (#s(alt (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) b_2) (patch (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) b_2) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c))))) (taylor inf c) (#s(alt (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) b_2) (patch (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal -1/2 binary64))) b_2) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -1)) (taylor inf c) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) (patch (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) a) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) a) (patch (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))))))) a) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -1)) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2)))))) (patch (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2)))))) (patch (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2)))))) (patch (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a)) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2)))))) (patch (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a c)) (taylor inf c) (#s(alt #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (patch #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ (pow b_2 2) c) a)) (taylor inf c) (#s(alt #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (patch #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ (pow b_2 2) c) a)) (taylor inf c) (#s(alt #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (patch #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ (pow b_2 2) c) a)) (taylor inf c) (#s(alt #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (patch #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor inf c) (#s(alt (.f64 (.f64 c c) a) (patch (.f64 (.f64 c c) a) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor inf c) (#s(alt (.f64 (.f64 c c) a) (patch (.f64 (.f64 c c) a) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor inf c) (#s(alt (.f64 (.f64 c c) a) (patch (.f64 (.f64 c c) a) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor inf c) (#s(alt (.f64 (.f64 c c) a) (patch (.f64 (.f64 c c) a) #<representation binary64>) () ())) ())
#s(alt (/ (* a (pow c 2)) b_2) (taylor inf c) (#s(alt (/.f64 (.f64 (.f64 c c) a) b_2) (patch (/.f64 (.f64 (.f64 c c) a) b_2) #<representation binary64>) () ())) ())
#s(alt (/ (* a (pow c 2)) b_2) (taylor inf c) (#s(alt (/.f64 (.f64 (.f64 c c) a) b_2) (patch (/.f64 (.f64 (.f64 c c) a) b_2) #<representation binary64>) () ())) ())
#s(alt (/ (* a (pow c 2)) b_2) (taylor inf c) (#s(alt (/.f64 (.f64 (.f64 c c) a) b_2) (patch (/.f64 (.f64 (.f64 c c) a) b_2) #<representation binary64>) () ())) ())
#s(alt (/ (* a (pow c 2)) b_2) (taylor inf c) (#s(alt (/.f64 (.f64 (.f64 c c) a) b_2) (patch (/.f64 (.f64 (.f64 c c) a) b_2) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))) (taylor -inf b_2) (#s(alt (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2)))))) (patch (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))))))) (taylor -inf b_2) (#s(alt (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2)))))) (patch (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* -1/4 (/ (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (pow b_2 6)))))))) (taylor -inf b_2) (#s(alt (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2)))))) (patch (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (pow b_2 2) (taylor -inf b_2) (#s(alt #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (patch #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #<representation binary64>) () ())) ())
#s(alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) (taylor -inf b_2) (#s(alt #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (patch #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #<representation binary64>) () ())) ())
#s(alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) (taylor -inf b_2) (#s(alt #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (patch #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #<representation binary64>) () ())) ())
#s(alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) (taylor -inf b_2) (#s(alt #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (patch #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #<representation binary64>) () ())) ())
#s(alt (/ (* a (pow c 2)) b_2) (taylor -inf b_2) (#s(alt (/.f64 (.f64 (.f64 c c) a) b_2) (patch (/.f64 (.f64 (.f64 c c) a) b_2) #<representation binary64>) () ())) ())
#s(alt (/ (* a (pow c 2)) b_2) (taylor -inf b_2) (#s(alt (/.f64 (.f64 (.f64 c c) a) b_2) (patch (/.f64 (.f64 (.f64 c c) a) b_2) #<representation binary64>) () ())) ())
#s(alt (/ (* a (pow c 2)) b_2) (taylor -inf b_2) (#s(alt (/.f64 (.f64 (.f64 c c) a) b_2) (patch (/.f64 (.f64 (.f64 c c) a) b_2) #<representation binary64>) () ())) ())
#s(alt (/ (* a (pow c 2)) b_2) (taylor -inf b_2) (#s(alt (/.f64 (.f64 (.f64 c c) a) b_2) (patch (/.f64 (.f64 (.f64 c c) a) b_2) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf b_2) (#s(alt (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (patch (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))) (taylor -inf b_2) (#s(alt (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (patch (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2))) (taylor -inf b_2) (#s(alt (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (patch (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2)))) (taylor -inf b_2) (#s(alt (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (patch (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow a 2) (pow c 2)) (pow b_2 2)) (taylor -inf b_2) (#s(alt (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))) (patch (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 2))) (* (pow a 2) (pow c 2))) (pow b_2 2)) (taylor -inf b_2) (#s(alt (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))) (patch (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* (pow a 2) (pow c 2)) (/ (* (pow a 4) (pow c 4)) (pow b_2 4))) (/ (* (pow a 3) (pow c 3)) (pow b_2 2))) (pow b_2 2)) (taylor -inf b_2) (#s(alt (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))) (patch (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (* (pow a 5) (pow c 5)) (pow b_2 6))) (* (pow a 2) (pow c 2))) (+ (* -1 (/ (* (pow a 4) (pow c 4)) (pow b_2 4))) (/ (* (pow a 3) (pow c 3)) (pow b_2 2)))) (pow b_2 2)) (taylor -inf b_2) (#s(alt (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))) (patch (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	c	@	-inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (+ (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))) (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* c -1/2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* c -1/2)) b_2) (/ -1/8 b_2) (+ (neg b_2) (sqrt (+ (* (* b_2 b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2)))) (neg (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2))))))) (/ (+ (neg b_2) (sqrt (+ (* (* b_2 b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2)))) (neg (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2))))))) a) (sqrt (+ (* (* b_2 b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2)))) (neg (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2)))))) (- (* b_2 b_2) (* a c)) (* (* c c) a) (/ (* (* c c) a) b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2))))
8.0ms	b_2	@	-inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (+ (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))) (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* c -1/2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* c -1/2)) b_2) (/ -1/8 b_2) (+ (neg b_2) (sqrt (+ (* (* b_2 b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2)))) (neg (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2))))))) (/ (+ (neg b_2) (sqrt (+ (* (* b_2 b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2)))) (neg (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2))))))) a) (sqrt (+ (* (* b_2 b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2)))) (neg (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2)))))) (- (* b_2 b_2) (* a c)) (* (* c c) a) (/ (* (* c c) a) b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2))))
7.0ms	b_2	@	inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (+ (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))) (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* c -1/2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* c -1/2)) b_2) (/ -1/8 b_2) (+ (neg b_2) (sqrt (+ (* (* b_2 b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2)))) (neg (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2))))))) (/ (+ (neg b_2) (sqrt (+ (* (* b_2 b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2)))) (neg (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2))))))) a) (sqrt (+ (* (* b_2 b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2)))) (neg (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2)))))) (- (* b_2 b_2) (* a c)) (* (* c c) a) (/ (* (* c c) a) b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2))))
6.0ms	a	@	inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (+ (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))) (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* c -1/2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* c -1/2)) b_2) (/ -1/8 b_2) (+ (neg b_2) (sqrt (+ (* (* b_2 b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2)))) (neg (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2))))))) (/ (+ (neg b_2) (sqrt (+ (* (* b_2 b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2)))) (neg (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2))))))) a) (sqrt (+ (* (* b_2 b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2)))) (neg (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2)))))) (- (* b_2 b_2) (* a c)) (* (* c c) a) (/ (* (* c c) a) b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2))))
5.0ms	a	@	0	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (+ (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))) (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* c -1/2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* c -1/2)) b_2) (/ -1/8 b_2) (+ (neg b_2) (sqrt (+ (* (* b_2 b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2)))) (neg (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2))))))) (/ (+ (neg b_2) (sqrt (+ (* (* b_2 b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2)))) (neg (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2))))))) a) (sqrt (+ (* (* b_2 b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2)))) (neg (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2)))))) (- (* b_2 b_2) (* a c)) (* (* c c) a) (/ (* (* c c) a) b_2) (/ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (/ (pow (* c a) 2) (+ (* c a) (* b_2 b_2))))

simplify236.0ms (2.6%)

Memory

26.6MiB live, 301.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 472×	`lower-fma.f64`
7 472×	`lower-fma.f32`
6 836×	`lower-*.f64`
6 836×	`lower-*.f32`
5 762×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1091	13893
1	3590	13023
0	8257	12522

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 678

Calls

Call 1

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

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

rewrite179.0ms (2%)

Memory

-1.8MiB live, 313.0MiB allocated

Rules

5 056×	`lower-/.f32`
5 038×	`lower-/.f64`
4 182×	`lower-*.f32`
4 166×	`lower-*.f64`
3 758×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	312
0	76	312
1	275	244
2	2025	244
0	8424	244

Stop Event

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

Counts

22 → 619

Calls

Call 1

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

Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (neg.f64 c) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 (/.f64 (neg.f64 c) b_2) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 c) b_2))
(.f64 (.f64 #s(literal -1/2 binary64) c) (pow.f64 b_2 #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
(.f64 c (.f64 (pow.f64 b_2 #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) c)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 c))) (neg.f64 (neg.f64 b_2)))
(/.f64 (neg.f64 (*.f64 (neg.f64 c) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 b_2)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) c))) (neg.f64 (neg.f64 b_2)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 c)) (neg.f64 b_2))
(/.f64 (*.f64 (neg.f64 c) #s(literal -1/2 binary64)) (neg.f64 b_2))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) c)) (neg.f64 b_2))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) c))))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) c)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 b_2 c)))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))
(*.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 c #s(literal -1 binary64)))
(*.f64 (pow.f64 b_2 #s(literal -1 binary64)) (pow.f64 (pow.f64 c #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 b_2 #s(literal -1 binary64)) c)
(*.f64 #s(literal 1 binary64) (/.f64 c b_2))
(*.f64 (neg.f64 c) (pow.f64 (neg.f64 b_2) #s(literal -1 binary64)))
(*.f64 c (pow.f64 b_2 #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 b_2 c) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 b_2 c) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64))) (neg.f64 b_2))
(/.f64 (neg.f64 (*.f64 c #s(literal 1 binary64))) (neg.f64 b_2))
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (neg.f64 (neg.f64 (neg.f64 b_2))))
(/.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) b_2)
(/.f64 (*.f64 c #s(literal 1 binary64)) b_2)
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 b_2)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b_2 c) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b_2 c)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 b_2 c))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b_2 c) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 c))
(/.f64 (neg.f64 c) (neg.f64 b_2))
(/.f64 c b_2)
(neg.f64 (/.f64 (neg.f64 c) b_2))
(neg.f64 (/.f64 c (neg.f64 b_2)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 b_2)) (/.f64 c (neg.f64 b_2)))
(exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64)))
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(.f64 (/.f64 (.f64 c a) (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (/.f64 (.f64 c a) (pow.f64 (fma.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (.f64 c c) a) (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 a (pow.f64 (fma.f64 c a (*.f64 (neg.f64 b_2) b_2)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (.f64 c c) a) (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (/.f64 a (pow.f64 (fma.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 c c) (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (.f64 a a) (pow.f64 (fma.f64 c a (*.f64 (neg.f64 b_2) b_2)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 c c) (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (/.f64 (.f64 a a) (pow.f64 (fma.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 c (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (.f64 a (.f64 c a)) (pow.f64 (fma.f64 c a (*.f64 (neg.f64 b_2) b_2)) #s(literal -1 binary64))))
(.f64 (/.f64 c (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (.f64 c (.f64 a a)) (pow.f64 (fma.f64 c a (*.f64 (neg.f64 b_2) b_2)) #s(literal -1 binary64))))
(.f64 (/.f64 c (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (/.f64 (.f64 a (.f64 c a)) (pow.f64 (fma.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 c (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (/.f64 (.f64 c (.f64 a a)) (pow.f64 (fma.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 a (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (.f64 (.f64 c c) a) (pow.f64 (fma.f64 c a (*.f64 (neg.f64 b_2) b_2)) #s(literal -1 binary64))))
(.f64 (/.f64 a (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (/.f64 (.f64 (.f64 c c) a) (pow.f64 (fma.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 c a) (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (.f64 c a) (pow.f64 (fma.f64 c a (*.f64 (neg.f64 b_2) b_2)) #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 c a (.f64 (neg.f64 b_2) b_2)) #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (fma.f64 c a (.f64 (neg.f64 b_2) b_2)))
(.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) (pow.f64 (.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (fma.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) (pow.f64 (.f64 c a) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 c a) #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal -1 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))
(.f64 (neg.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64))) (pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))
(.f64 (.f64 c a) (/.f64 (.f64 c a) (fma.f64 c a (.f64 b_2 b_2))))
(.f64 (.f64 c a) (.f64 (.f64 c a) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64))))
(.f64 (.f64 c c) (/.f64 (.f64 a a) (fma.f64 c a (.f64 b_2 b_2))))
(.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64))))
(pow.f64 (/.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))))
(/.f64 (.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (fma.f64 c a (.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal -2 binary64))))
(/.f64 (neg.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64))) (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))
(/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (.f64 b_2 b_2)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64))) (fma.f64 c a (.f64 b_2 b_2))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) (/.f64 (neg.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64))) (fma.f64 c a (*.f64 b_2 b_2))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (pow.f64 (.f64 c a) #s(literal -2 binary64)))) #s(literal -1 binary64)))

eval209.0ms (2.3%)

Memory: 59.0MiB live, 425.2MiB allocated
Compiler: Compiled 34 664 to 4 069 computations (88.3% saved)

prune165.0ms (1.8%)

Memory

-39.6MiB live, 401.5MiB allocated

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	1 298	22	1 320
Fresh	7	1	8
Picked	3	2	5
Done	1	0	1
Total	1 309	25	1 334

Accuracy

88.9%

Counts

1 334 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.3%	(/.f64 (/.f64 (fma.f64 (.f64 (neg.f64 b_2) b_2) (sqrt.f64 (fma.f64 (.f64 c a) (fma.f64 c a (.f64 b_2 b_2)) (pow.f64 b_2 #s(literal 4 binary64)))) (.f64 (+.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))))) (.f64 (+.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 (.f64 c a) (fma.f64 c a (.f64 b_2 b_2)) (pow.f64 b_2 #s(literal 4 binary64)))))) a)
	26.5%	(/.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) (.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) (neg.f64 b_2))) a)
▶	26.7%	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) a)
	22.8%	(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))))))
	23.9%	(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))))
▶	46.1%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) a)
	27.8%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) a)
	10.9%	(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (fma.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 1 binary64)) b_2))) a)
	26.5%	(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) (pow.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)))) #s(literal -1 binary64))) a)
	26.6%	(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (pow.f64 a #s(literal -1 binary64))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))
	32.0%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 b_2) (fma.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 2 binary64)))) a)
✓	32.2%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
	27.8%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2)))
▶	32.1%	(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
▶	45.1%	(-.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) a) (/.f64 b_2 a))
	32.1%	(.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #s(literal -1 binary64)) #s(literal -1 binary64)))
	27.8%	(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) #s(literal -1 binary64)))
	12.8%	(exp.f64 (.f64 (log.f64 (/.f64 a (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2))) #s(literal -1 binary64)))
	14.8%	(exp.f64 (.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64)))
	25.6%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 (.f64 c a) b_2) (.f64 #s(literal 1/2 binary64) c)) (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 c c) a) b_2) b_2) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 c c))))) b_2))
▶	23.5%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 c c) a) b_2) b_2) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 c c))) (.f64 b_2 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 (.f64 c a) b_2) (*.f64 #s(literal 1/2 binary64) c)))))
	39.5%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* c -1/2)) (.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)) c)) b_2))
✓	39.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
	31.9%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
	17.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))

Compiler

Compiled 916 to 642 computations (29.9% saved)

simplify136.0ms (1.5%)

Memory

-32.0MiB live, 208.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 c c) a) b_2) b_2) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 c c))) (.f64 b_2 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 (.f64 c a) b_2) (*.f64 #s(literal 1/2 binary64) c)))))
cost-diff	128	(-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 c c) a) b_2) b_2) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (*.f64 c c)))
cost-diff	320	(fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 (.f64 c a) b_2) (*.f64 #s(literal 1/2 binary64) c))
cost-diff	704	(.f64 b_2 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 (.f64 c a) b_2) (.f64 #s(literal 1/2 binary64) c)))
cost-diff	0	(*.f64 b_2 b_2)
cost-diff	0	(-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
cost-diff	0	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) a)
cost-diff	128	(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))
cost-diff	0	(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
cost-diff	0	(sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))
cost-diff	0	(/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) a)
cost-diff	704	(-.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) a) (/.f64 b_2 a))
cost-diff	0	(*.f64 #s(literal -2 binary64) b_2)
cost-diff	0	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
cost-diff	0	(/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
cost-diff	0	(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
cost-diff	0	(sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))
cost-diff	0	(-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)
cost-diff	0	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) a)

Rules

6 540×	`lower-fma.f32`
6 536×	`lower-fma.f64`
5 590×	`lower-*.f32`
5 568×	`lower-*.f64`
2 700×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	507
0	91	501
1	162	501
2	363	495
3	1154	495
4	4166	487
5	6239	487
0	8400	480

Stop Event

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

Calls

Call 1

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

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

localize271.0ms (3%)

Memory

31.2MiB live, 350.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	7.640606422471853	(-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 c c) a) b_2) b_2) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (*.f64 c c)))
accuracy	8.847162725926765	(.f64 (.f64 c c) a)
accuracy	28.098196412108003	(/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 c c) a) b_2) b_2) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 c c))) (.f64 b_2 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 (.f64 c a) b_2) (*.f64 #s(literal 1/2 binary64) c))))
accuracy	38.70417187927778	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 c c) a) b_2) b_2) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 c c))) (.f64 b_2 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 (.f64 c a) b_2) (*.f64 #s(literal 1/2 binary64) c)))))
accuracy	16.501375407987133	(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))
accuracy	24.250156335026222	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
accuracy	33.49172163959174	(-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
accuracy	41.15907721462366	#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))
accuracy	0.00390625	(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
accuracy	0.10546875	(/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) a)
accuracy	19.318535339644516	(-.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) a) (/.f64 b_2 a))
accuracy	24.250156335026222	(sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))
accuracy	0	(*.f64 #s(literal -2 binary64) b_2)
accuracy	0.234375	(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
accuracy	3.4239106940980384	(/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))
accuracy	43.465846606877605	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
accuracy	0.00390625	(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
accuracy	3.4296179410732526	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) a)
accuracy	17.019476371241648	(-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)
accuracy	24.250156335026222	(sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))

Samples

128.0ms	81×	1	valid
57.0ms	74×	2	valid
27.0ms	86×	0	valid
16.0ms	15×	3	valid

Compiler

Compiled 431 to 52 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-div: 33.0ms (30.5% of total)

ival-mult: 22.0ms (20.3% of total)

adjust: 19.0ms (17.6% of total)

ival-sub: 11.0ms (10.2% of total)

ival-sqrt: 7.0ms (6.5% of total)

ival-pow2: 7.0ms (6.5% of total)

ival-add: 5.0ms (4.6% of total)

ival-neg: 2.0ms (1.8% of total)

exact: 1.0ms (0.9% of total)

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

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

series125.0ms (1.4%)

Memory

-19.8MiB live, 181.0MiB allocated

Counts

22 → 732

Calls

Call 1

Inputs
#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) a) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) a) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) (patch (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) (patch (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #<representation binary64>) () ())
#s(alt (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (patch (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) (patch #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -2 binary64) b_2) (patch (.f64 #s(literal -2 binary64) b_2) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) (/.f64 b_2 a)) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) (/.f64 b_2 a)) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) (patch (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))))) (patch (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))))) a) (patch (/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) a) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (patch (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) #<representation binary64>) () ())
#s(alt (.f64 b_2 b_2) (patch (.f64 b_2 b_2) #<representation binary64>) () ())
#s(alt (.f64 b_2 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 (.f64 c a) b_2) (.f64 #s(literal 1/2 binary64) c))) (patch (.f64 b_2 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 (.f64 c a) b_2) (.f64 #s(literal 1/2 binary64) c))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 (.f64 c a) b_2) (.f64 #s(literal 1/2 binary64) c)) (patch (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 (.f64 c a) b_2) (.f64 #s(literal 1/2 binary64) c)) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 c c) a) b_2) b_2) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 c c))) (patch (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 c c) a) b_2) b_2) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 c c))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 c c) a) b_2) b_2) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 c c))) (.f64 b_2 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 (.f64 c a) b_2) (.f64 #s(literal 1/2 binary64) c))))) (patch #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 c c) a) b_2) b_2) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 c c))) (.f64 b_2 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 (.f64 c a) b_2) (*.f64 #s(literal 1/2 binary64) c))))) #<representation binary64>) () ())
#s(alt #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (patch #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (patch (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 c c) a) b_2) b_2) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 c c))) (.f64 b_2 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 (.f64 c a) b_2) (.f64 #s(literal 1/2 binary64) c)))) (patch (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 c c) a) b_2) b_2) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 c c))) (.f64 b_2 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 (.f64 c a) b_2) (.f64 #s(literal 1/2 binary64) c)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 c c) a) (patch (.f64 (.f64 c c) a) #<representation binary64>) () ())

Outputs
#s(alt (* -1/2 (/ c b_2)) (taylor 0 a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) a) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))) (taylor 0 a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) a) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) a) #<representation binary64>) () ())) ())
#s(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)))))) (taylor 0 a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) a) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) a) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) a) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) a) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) (patch (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) (patch (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) (patch (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) #<representation binary64>) () ())) ())
#s(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))))))))) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) (patch (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) #<representation binary64>) () ())) ())
#s(alt b_2 (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (+ b_2 (* -1/2 (/ (* a c) b_2))) (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (pow b_2 2) (taylor 0 a) (#s(alt (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) (patch (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a c)) (pow b_2 2)) (taylor 0 a) (#s(alt (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) (patch (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a c)) (pow b_2 2)) (taylor 0 a) (#s(alt (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) (patch (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a c)) (pow b_2 2)) (taylor 0 a) (#s(alt (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) (patch (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b_2)) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ b_2 c)) (taylor 0 a) (#s(alt (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (patch (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2))) (taylor 0 a) (#s(alt (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (patch (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ b_2 c)) (* a (+ (* -1 (* a (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2))))) (taylor 0 a) (#s(alt (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (patch (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ b_2 c)) (* a (+ (* a (- (* -1 (* a (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 2))) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 2) (pow b_2 5))))))) (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2))))) (taylor 0 a) (#s(alt (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (patch (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor 0 a) (#s(alt #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) (patch #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))) (taylor 0 a) (#s(alt #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) (patch #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 a) (#s(alt #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) (patch #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())) ())
#s(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))))))))) (taylor 0 a) (#s(alt #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) (patch #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b_2)) (taylor 0 a) (#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) (/.f64 b_2 a)) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) (/.f64 b_2 a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))) (taylor 0 a) (#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) (/.f64 b_2 a)) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) (/.f64 b_2 a)) #<representation binary64>) () ())) ())
#s(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)))))) (taylor 0 a) (#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) (/.f64 b_2 a)) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) (/.f64 b_2 a)) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 a) (#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) (/.f64 b_2 a)) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) (/.f64 b_2 a)) #<representation binary64>) () ())) ())
#s(alt (/ b_2 a) (taylor 0 a) (#s(alt (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) (patch (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ b_2 (* -1/2 (/ (* a c) b_2))) a) (taylor 0 a) (#s(alt (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) (patch (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) a) (taylor 0 a) (#s(alt (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) (patch (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) #<representation binary64>) () ())) ())
#s(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)))))))) a) (taylor 0 a) (#s(alt (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) (patch (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor 0 a) (#s(alt (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))))) (patch (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))) (taylor 0 a) (#s(alt (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))))) (patch (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor 0 a) (#s(alt (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))))) (patch (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/16 (/ (pow c 3) (pow b_2 5))) (* a (+ (* -1/32 (/ (pow c 4) (pow b_2 7))) (* -1/128 (/ (pow c 4) (pow b_2 7))))))))))) (taylor 0 a) (#s(alt (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))))) (patch (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) #<representation binary64>) () ())) ())
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#s(alt (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 c c) a) b_2) b_2) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 c c))) (.f64 b_2 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 (.f64 c a) b_2) (.f64 #s(literal 1/2 binary64) c)))) (patch (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 c c) a) b_2) b_2) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 c c))) (.f64 b_2 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 (.f64 c a) b_2) (.f64 #s(literal 1/2 binary64) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 c c) a) b_2) b_2) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 c c))) (.f64 b_2 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 (.f64 c a) b_2) (.f64 #s(literal 1/2 binary64) c)))) (patch (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 c c) a) b_2) b_2) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 c c))) (.f64 b_2 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 (.f64 c a) b_2) (.f64 #s(literal 1/2 binary64) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 c c) a) b_2) b_2) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 c c))) (.f64 b_2 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 (.f64 c a) b_2) (.f64 #s(literal 1/2 binary64) c)))) (patch (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 c c) a) b_2) b_2) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 c c))) (.f64 b_2 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 (.f64 c a) b_2) (.f64 #s(literal 1/2 binary64) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor 0 c) (#s(alt (.f64 (.f64 c c) a) (patch (.f64 (.f64 c c) a) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor 0 c) (#s(alt (.f64 (.f64 c c) a) (patch (.f64 (.f64 c c) a) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor 0 c) (#s(alt (.f64 (.f64 c c) a) (patch (.f64 (.f64 c c) a) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor 0 c) (#s(alt (.f64 (.f64 c c) a) (patch (.f64 (.f64 c c) a) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) a) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) (taylor inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) a) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) a) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) a) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) a) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) a) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) a) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -1)) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) (patch (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) (patch (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) (patch (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) #<representation binary64>) () ())) ())
#s(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))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) (patch (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -1)) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) (patch (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a c)) (taylor inf c) (#s(alt (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) (patch (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 a) (/ (pow b_2 2) c))) (taylor inf c) (#s(alt (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) (patch (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 a) (/ (pow b_2 2) c))) (taylor inf c) (#s(alt (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) (patch (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 a) (/ (pow b_2 2) c))) (taylor inf c) (#s(alt (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) (patch (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (taylor inf c) (#s(alt (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (patch (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2))) c) (taylor inf c) (#s(alt (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (patch (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) c) (taylor inf c) (#s(alt (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (patch (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 4)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))) c) (taylor inf c) (#s(alt (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (patch (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -1)) (taylor inf c) (#s(alt #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) (patch #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) (taylor inf c) (#s(alt #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) (patch #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c))) (taylor inf c) (#s(alt #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) (patch #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())) ())
#s(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))) (taylor inf c) (#s(alt #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) (patch #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor inf c) (#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) (/.f64 b_2 a)) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) (/.f64 b_2 a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) (taylor inf c) (#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) (/.f64 b_2 a)) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) (/.f64 b_2 a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))) (taylor inf c) (#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) (/.f64 b_2 a)) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) (/.f64 b_2 a)) #<representation binary64>) () ())) ())
#s(alt (* 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)))) (/ b_2 (* a c)))) (taylor inf c) (#s(alt (-.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) (/.f64 b_2 a)) (patch (-.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) (/.f64 b_2 a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor inf c) (#s(alt (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) (patch (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) (taylor inf c) (#s(alt (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) (patch (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) #<representation binary64>) () ())) ())
#s(alt (* 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))))) (taylor inf c) (#s(alt (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) (patch (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) (taylor inf c) (#s(alt (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) (patch (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (taylor inf c) (#s(alt (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))))) (patch (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (/ b_2 (pow (sqrt -1) 2))) (taylor inf c) (#s(alt (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))))) (patch (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) #<representation binary64>) () ())) ())
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#s(alt (* (pow c 2) (+ (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c)))) (taylor inf c) (#s(alt (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 (.f64 c a) b_2) (.f64 #s(literal 1/2 binary64) c)) (patch (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 (.f64 c a) b_2) (.f64 #s(literal 1/2 binary64) c)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))) (taylor -inf b_2) (#s(alt (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (patch (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf b_2) (#s(alt (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (patch (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor -inf b_2) (#s(alt (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (patch (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b_2)) (taylor -inf b_2) (#s(alt (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 c c) a) b_2) b_2) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 c c))) (.f64 b_2 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 (.f64 c a) b_2) (.f64 #s(literal 1/2 binary64) c)))) (patch (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 c c) a) b_2) b_2) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 c c))) (.f64 b_2 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 (.f64 c a) b_2) (.f64 #s(literal 1/2 binary64) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)) (taylor -inf b_2) (#s(alt (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 c c) a) b_2) b_2) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 c c))) (.f64 b_2 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 (.f64 c a) b_2) (.f64 #s(literal 1/2 binary64) c)))) (patch (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 c c) a) b_2) b_2) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 c c))) (.f64 b_2 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 (.f64 c a) b_2) (.f64 #s(literal 1/2 binary64) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)) (taylor -inf b_2) (#s(alt (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 c c) a) b_2) b_2) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 c c))) (.f64 b_2 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 (.f64 c a) b_2) (.f64 #s(literal 1/2 binary64) c)))) (patch (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 c c) a) b_2) b_2) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 c c))) (.f64 b_2 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 (.f64 c a) b_2) (.f64 #s(literal 1/2 binary64) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)) (taylor -inf b_2) (#s(alt (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 c c) a) b_2) b_2) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 c c))) (.f64 b_2 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 (.f64 c a) b_2) (.f64 #s(literal 1/2 binary64) c)))) (patch (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 c c) a) b_2) b_2) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 c c))) (.f64 b_2 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 (.f64 c a) b_2) (.f64 #s(literal 1/2 binary64) c)))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	b_2	@	-inf	((/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2))) (+ (* (neg a) c) (* b_2 b_2)) (/ 1 (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (- (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/ b_2 a)) (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) a) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (* b_2 (+ (* (/ (* -1/8 c) b_2) (/ (* c a) b_2)) (* 1/2 c))) (+ (* (/ (* -1/8 c) b_2) (/ (* c a) b_2)) (* 1/2 c)) (- (* 1/64 (pow (/ (/ (* (* c c) a) b_2) b_2) 2)) (* 1/4 (* c c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (/ (- (* 1/64 (pow (/ (/ (* (* c c) a) b_2) b_2) 2)) (* 1/4 (* c c))) (* b_2 (+ (* (/ (* -1/8 c) b_2) (/ (* c a) b_2)) (* 1/2 c)))) (* (* c c) a))
8.0ms	b_2	@	0	((/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2))) (+ (* (neg a) c) (* b_2 b_2)) (/ 1 (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (- (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/ b_2 a)) (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) a) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (* b_2 (+ (* (/ (* -1/8 c) b_2) (/ (* c a) b_2)) (* 1/2 c))) (+ (* (/ (* -1/8 c) b_2) (/ (* c a) b_2)) (* 1/2 c)) (- (* 1/64 (pow (/ (/ (* (* c c) a) b_2) b_2) 2)) (* 1/4 (* c c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (/ (- (* 1/64 (pow (/ (/ (* (* c c) a) b_2) b_2) 2)) (* 1/4 (* c c))) (* b_2 (+ (* (/ (* -1/8 c) b_2) (/ (* c a) b_2)) (* 1/2 c)))) (* (* c c) a))
7.0ms	c	@	0	((/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2))) (+ (* (neg a) c) (* b_2 b_2)) (/ 1 (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (- (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/ b_2 a)) (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) a) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (* b_2 (+ (* (/ (* -1/8 c) b_2) (/ (* c a) b_2)) (* 1/2 c))) (+ (* (/ (* -1/8 c) b_2) (/ (* c a) b_2)) (* 1/2 c)) (- (* 1/64 (pow (/ (/ (* (* c c) a) b_2) b_2) 2)) (* 1/4 (* c c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (/ (- (* 1/64 (pow (/ (/ (* (* c c) a) b_2) b_2) 2)) (* 1/4 (* c c))) (* b_2 (+ (* (/ (* -1/8 c) b_2) (/ (* c a) b_2)) (* 1/2 c)))) (* (* c c) a))
7.0ms	c	@	inf	((/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2))) (+ (* (neg a) c) (* b_2 b_2)) (/ 1 (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (- (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/ b_2 a)) (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) a) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (* b_2 (+ (* (/ (* -1/8 c) b_2) (/ (* c a) b_2)) (* 1/2 c))) (+ (* (/ (* -1/8 c) b_2) (/ (* c a) b_2)) (* 1/2 c)) (- (* 1/64 (pow (/ (/ (* (* c c) a) b_2) b_2) 2)) (* 1/4 (* c c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (/ (- (* 1/64 (pow (/ (/ (* (* c c) a) b_2) b_2) 2)) (* 1/4 (* c c))) (* b_2 (+ (* (/ (* -1/8 c) b_2) (/ (* c a) b_2)) (* 1/2 c)))) (* (* c c) a))
6.0ms	a	@	-inf	((/ (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) a) (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2))) (+ (* (neg a) c) (* b_2 b_2)) (/ 1 (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (- (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/ b_2 a)) (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) a) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (* b_2 (+ (* (/ (* -1/8 c) b_2) (/ (* c a) b_2)) (* 1/2 c))) (+ (* (/ (* -1/8 c) b_2) (/ (* c a) b_2)) (* 1/2 c)) (- (* 1/64 (pow (/ (/ (* (* c c) a) b_2) b_2) 2)) (* 1/4 (* c c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))) (/ (- (* 1/64 (pow (/ (/ (* (* c c) a) b_2) b_2) 2)) (* 1/4 (* c c))) (* b_2 (+ (* (/ (* -1/8 c) b_2) (/ (* c a) b_2)) (* 1/2 c)))) (* (* c c) a))

simplify359.0ms (4%)

Memory

-1.5MiB live, 346.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 456×	`lower-fma.f64`
8 456×	`lower-fma.f32`
7 962×	`lower-*.f64`
7 962×	`lower-*.f32`
5 346×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1284	15358
1	4353	14970
0	9186	14345

Stop Event

1×	iter limit
1×	node limit

Counts

732 → 726

Calls

Call 1

Inputs
(* -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))))))))
(* -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)))))))))
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))))))))
(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))
(* -1/2 (/ 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))))))))
(* -2 (/ b_2 c))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(+ (* -2 (/ b_2 c)) (* a (+ (* -1 (* a (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 c)) (* a (+ (* a (- (* -1 (* a (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 2))) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 2) (pow b_2 5))))))) (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2)))))
(* -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)))))))))
(* -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))))))))
(/ b_2 a)
(/ (+ b_2 (* -1/2 (/ (* a c) b_2))) a)
(/ (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) a)
(/ (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))) a)
(* -1/2 (/ (* 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 (+ (* -1/16 (/ (pow c 3) (pow b_2 5))) (* a (+ (* -1/32 (/ (pow c 4) (pow b_2 7))) (* -1/128 (/ (pow c 4) (pow b_2 7)))))))))))
(* -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 (+ (* -1/16 (/ (pow c 3) (pow b_2 5))) (* a (+ (* -1/32 (/ (pow c 4) (pow b_2 7))) (* -1/128 (/ (pow c 4) (pow b_2 7))))))))))
(* a c)
(* a c)
(* a c)
(* a c)
(* 1/2 (* b_2 c))
(+ (* -1/8 (/ (* a (pow c 2)) b_2)) (* 1/2 (* b_2 c)))
(+ (* -1/8 (/ (* a (pow c 2)) b_2)) (* 1/2 (* b_2 c)))
(+ (* -1/8 (/ (* a (pow c 2)) b_2)) (* 1/2 (* b_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))
(* -1/4 (pow c 2))
(- (* 1/64 (/ (* (pow a 2) (pow c 4)) (pow b_2 4))) (* 1/4 (pow c 2)))
(- (* 1/64 (/ (* (pow a 2) (pow c 4)) (pow b_2 4))) (* 1/4 (pow c 2)))
(- (* 1/64 (/ (* (pow a 2) (pow c 4)) (pow b_2 4))) (* 1/4 (pow c 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)) (* 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))))))))
(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))
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))))))))
(* -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))))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* (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)))))
(* (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)))
(* (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 (* 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)))
(* (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)))))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (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)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -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)))) (/ b_2 a))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -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))))
(+ (* -1/8 (* (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)) (/ 1 (sqrt -1))))
(+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (/ b_2 (pow (sqrt -1) 2)))
(+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (/ b_2 (pow (sqrt -1) 2)))))
(+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (+ (* -1/2 (/ (pow b_2 3) (* a (* c (pow (sqrt -1) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (/ b_2 (pow (sqrt -1) 2)))))))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (/ b_2 (pow (sqrt -1) 2))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (/ b_2 (pow (sqrt -1) 2))))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (+ (* -1/2 (/ (pow b_2 3) (* a (* c (pow (sqrt -1) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (/ b_2 (pow (sqrt -1) 2))))))) a)
(* a c)
(* a c)
(* a c)
(* a c)
(* -1/8 (/ (* a (pow c 2)) b_2))
(* a (+ (* -1/8 (/ (pow c 2) b_2)) (* 1/2 (/ (* b_2 c) a))))
(* a (+ (* -1/8 (/ (pow c 2) b_2)) (* 1/2 (/ (* b_2 c) a))))
(* a (+ (* -1/8 (/ (pow c 2) b_2)) (* 1/2 (/ (* b_2 c) a))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* a (+ (* -1/8 (/ (pow c 2) (pow b_2 2))) (* 1/2 (/ c a))))
(* a (+ (* -1/8 (/ (pow c 2) (pow b_2 2))) (* 1/2 (/ c a))))
(* a (+ (* -1/8 (/ (pow c 2) (pow b_2 2))) (* 1/2 (/ c a))))
(* 1/64 (/ (* (pow a 2) (pow c 4)) (pow b_2 4)))
(* (pow a 2) (+ (* -1/4 (/ (pow c 2) (pow a 2))) (* 1/64 (/ (pow c 4) (pow b_2 4)))))
(* (pow a 2) (+ (* -1/4 (/ (pow c 2) (pow a 2))) (* 1/64 (/ (pow c 4) (pow b_2 4)))))
(* (pow a 2) (+ (* -1/4 (/ (pow c 2) (pow a 2))) (* 1/64 (/ (pow c 4) (pow b_2 4)))))
(* (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 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(* (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))))))
(* -1/8 (/ (* 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)))))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* -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 (* (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 (* (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)))))))
(* -1 (* a c))
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))
(* -1 (* (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 (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ b_2 c)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) c))) a)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b_2 3)) (pow c 2))) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))))))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))) a)) (* -1 (/ (* a b_2) c))) 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 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) (* -1 b_2)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -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)) (* -1 b_2)) a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) (* -1 (* a b_2))) a)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1))))))))) (* -1/2 (/ (* a (pow b_2 3)) c))) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))))) a)) (* -1 (* a b_2))) a)) (* (sqrt (* a c)) (sqrt -1)))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (/ (+ b_2 (* -1 (* (sqrt (* a c)) (sqrt -1)))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1))))) a))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1))))))))) (* -1/2 (/ (* (pow a 2) (pow b_2 3)) c))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))))) a))) a))) a))
(* a c)
(* a c)
(* a c)
(* a c)
(* -1/8 (/ (* a (pow c 2)) b_2))
(* -1 (* a (+ (* -1/2 (/ (* b_2 c) a)) (* 1/8 (/ (pow c 2) b_2)))))
(* -1 (* a (+ (* -1/2 (/ (* b_2 c) a)) (* 1/8 (/ (pow c 2) b_2)))))
(* -1 (* a (+ (* -1/2 (/ (* b_2 c) a)) (* 1/8 (/ (pow c 2) b_2)))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1 (* a (+ (* -1/2 (/ c a)) (* 1/8 (/ (pow c 2) (pow b_2 2))))))
(* -1 (* a (+ (* -1/2 (/ c a)) (* 1/8 (/ (pow c 2) (pow b_2 2))))))
(* -1 (* a (+ (* -1/2 (/ c a)) (* 1/8 (/ (pow c 2) (pow b_2 2))))))
(* 1/64 (/ (* (pow a 2) (pow c 4)) (pow b_2 4)))
(* (pow a 2) (+ (* -1/4 (/ (pow c 2) (pow a 2))) (* 1/64 (/ (pow c 4) (pow b_2 4)))))
(* (pow a 2) (+ (* -1/4 (/ (pow c 2) (pow a 2))) (* 1/64 (/ (pow c 4) (pow b_2 4)))))
(* (pow a 2) (+ (* -1/4 (/ (pow c 2) (pow a 2))) (* 1/64 (/ (pow c 4) (pow b_2 4)))))
(* -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 (* 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))))
(* -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)))))))
(* -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))))))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* -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))))
(* -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)))))))))
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))))))))
(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))
(* -1/2 (/ 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))))
(* -2 (/ b_2 c))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) c)
(/ (+ (* -2 b_2) (* c (- (* -1 (* c (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3)))))) (* -1/2 (/ a b_2))))) c)
(/ (+ (* -2 b_2) (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) a)) (+ (* -1/4 (/ (* a (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow a 3) (pow b_2 5))))))) (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3)))))) (* -1/2 (/ a b_2))))) c)
(* -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)))))))))
(* -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))))
(/ b_2 a)
(+ (* -1/2 (/ c b_2)) (/ b_2 a))
(+ (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) (/ b_2 a))
(+ (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2)))) (/ b_2 a))
(* -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 (+ (* -1/16 (/ (pow a 3) (pow b_2 5))) (* c (+ (* -1/32 (/ (pow a 4) (pow b_2 7))) (* -1/128 (/ (pow a 4) (pow b_2 7)))))))))))
(* -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 (+ (* -1/16 (/ (pow a 2) (pow b_2 5))) (* c (+ (* -1/32 (/ (pow a 3) (pow b_2 7))) (* -1/128 (/ (pow a 3) (pow b_2 7))))))))) (* 1/2 (/ 1 b_2))))
(* a c)
(* a c)
(* a c)
(* a c)
(* 1/2 (* b_2 c))
(* c (+ (* -1/8 (/ (* a c) b_2)) (* 1/2 b_2)))
(* c (+ (* -1/8 (/ (* a c) b_2)) (* 1/2 b_2)))
(* c (+ (* -1/8 (/ (* a c) b_2)) (* 1/2 b_2)))
(* 1/2 c)
(* c (+ 1/2 (* -1/8 (/ (* a c) (pow b_2 2)))))
(* c (+ 1/2 (* -1/8 (/ (* a c) (pow b_2 2)))))
(* c (+ 1/2 (* -1/8 (/ (* a c) (pow b_2 2)))))
(* -1/4 (pow c 2))
(* (pow c 2) (- (* 1/64 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) 1/4))
(* (pow c 2) (- (* 1/64 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) 1/4))
(* (pow c 2) (- (* 1/64 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) 1/4))
(* -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))))
(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))
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))))))))
(* -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))))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 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))))))
(* (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)))
(* (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 (* 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)))
(* (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))))))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) c)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 4)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))) c)
(* (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)))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c))))
(* 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)))) (/ b_2 (* a c))))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1/8 (* (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)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1))))
(+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (/ b_2 (pow (sqrt -1) 2)))
(+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (/ b_2 (pow (sqrt -1) 2)))))
(+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (+ (* -1/2 (/ (pow b_2 3) (* a (* c (pow (sqrt -1) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (/ b_2 (pow (sqrt -1) 2)))))))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (/ b_2 (* a (pow (sqrt -1) 2))))
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (pow c 2)))) (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))))
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (sqrt -1)))) (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* (pow a 2) (pow (sqrt -1) 4))))) (pow c 3)))) (+ (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))
(* a c)
(* a c)
(* a c)
(* a c)
(* -1/8 (/ (* a (pow c 2)) b_2))
(* (pow c 2) (+ (* -1/8 (/ a b_2)) (* 1/2 (/ b_2 c))))
(* (pow c 2) (+ (* -1/8 (/ a b_2)) (* 1/2 (/ b_2 c))))
(* (pow c 2) (+ (* -1/8 (/ a b_2)) (* 1/2 (/ b_2 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))))
(* 1/64 (/ (* (pow a 2) (pow c 4)) (pow b_2 4)))
(* (pow c 4) (- (* 1/64 (/ (pow a 2) (pow b_2 4))) (* 1/4 (/ 1 (pow c 2)))))
(* (pow c 4) (- (* 1/64 (/ (pow a 2) (pow b_2 4))) (* 1/4 (/ 1 (pow c 2)))))
(* (pow c 4) (- (* 1/64 (/ (pow a 2) (pow b_2 4))) (* 1/4 (/ 1 (pow c 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 (* a c))
(* c (- (/ (pow b_2 2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(* (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))))))
(* -1/8 (/ (* 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)))))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* -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 (* (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 (* (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))
(* -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 (* (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 (* (sqrt (/ a c)) (sqrt -1)))
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b_2 3) c) a)) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))))))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))) c)) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) 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 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 a)) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -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)) (/ b_2 a)) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) (* -1 (* b_2 c))) c)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))))))) (* -1/2 (/ (* (pow b_2 3) c) a))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))) c)) (* -1 (* b_2 c))) c)) (* (sqrt (* a c)) (sqrt -1)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) (* -1 (/ (* b_2 c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1))))))))) (* -1/2 (/ (* (pow b_2 3) c) (pow a 2)))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))))) c)) (* -1 (/ (* b_2 c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(* a c)
(* a c)
(* a c)
(* a c)
(* -1/8 (/ (* a (pow c 2)) b_2))
(* (pow c 2) (+ (* -1/8 (/ a b_2)) (* 1/2 (/ b_2 c))))
(* (pow c 2) (+ (* -1/8 (/ a b_2)) (* 1/2 (/ b_2 c))))
(* (pow c 2) (+ (* -1/8 (/ a b_2)) (* 1/2 (/ b_2 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))))
(* 1/64 (/ (* (pow a 2) (pow c 4)) (pow b_2 4)))
(* (pow c 4) (- (* 1/64 (/ (pow a 2) (pow b_2 4))) (* 1/4 (/ 1 (pow c 2)))))
(* (pow c 4) (- (* 1/64 (/ (pow a 2) (pow b_2 4))) (* 1/4 (/ 1 (pow c 2)))))
(* (pow c 4) (- (* 1/64 (/ (pow a 2) (pow b_2 4))) (* 1/4 (/ 1 (pow c 2)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* a 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))))
(* -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 (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)))))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* (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)))
(* (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)))))))))
(* -1 (* a c))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2))))
(+ (* b_2 (+ (* -1 (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* b_2 (+ (* b_2 (- (* -1 (* b_2 (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -1) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* (sqrt (/ c a)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (/ c a)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1))))
(+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (/ b_2 (pow (sqrt -1) 2)))
(+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* b_2 (+ (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (pow (sqrt -1) 2)))))
(+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* b_2 (+ (* b_2 (+ (* -1 (* b_2 (- (* 1/2 (/ 1 (* a (* c (pow (sqrt -1) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1))))))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (/ b_2 (* a (pow (sqrt -1) 2))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* b_2 (+ (* b_2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (* a (pow (sqrt -1) 2))))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* b_2 (+ (* b_2 (+ (* -1 (* b_2 (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -1) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* a (pow (sqrt -1) 2))))))
(* a c)
(* a c)
(* a c)
(* a c)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(* -1/8 (/ (* a (pow c 2)) b_2))
(/ (+ (* -1/8 (* a (pow c 2))) (* 1/2 (* (pow b_2 2) c))) b_2)
(/ (+ (* -1/8 (* a (pow c 2))) (* 1/2 (* (pow b_2 2) c))) b_2)
(/ (+ (* -1/8 (* a (pow c 2))) (* 1/2 (* (pow b_2 2) c))) b_2)
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(/ (+ (* -1/8 (* a (pow c 2))) (* 1/2 (* (pow b_2 2) c))) (pow b_2 2))
(/ (+ (* -1/8 (* a (pow c 2))) (* 1/2 (* (pow b_2 2) c))) (pow b_2 2))
(/ (+ (* -1/8 (* a (pow c 2))) (* 1/2 (* (pow b_2 2) c))) (pow b_2 2))
(* 1/64 (/ (* (pow a 2) (pow c 4)) (pow b_2 4)))
(/ (+ (* -1/4 (* (pow b_2 4) (pow c 2))) (* 1/64 (* (pow a 2) (pow c 4)))) (pow b_2 4))
(/ (+ (* -1/4 (* (pow b_2 4) (pow c 2))) (* 1/64 (* (pow a 2) (pow c 4)))) (pow b_2 4))
(/ (+ (* -1/4 (* (pow b_2 4) (pow c 2))) (* 1/64 (* (pow a 2) (pow c 4)))) (pow b_2 4))
(* (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 (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(* (sqrt (* a c)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(* -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))) (* -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)
(* -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)
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)))))))
(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)))))
(* -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 c))
(* b_2 (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))
(* b_2 (- (* -1 (/ (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c))) (pow b_2 4))) (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))
(* b_2 (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (+ (* -1/4 (* a (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (* 1/16 (* (pow a 3) (pow c 2))))) (pow b_2 6))) (+ (* -1/2 (/ a (pow b_2 2))) (+ (* -1/4 (/ (* (pow a 2) c) (pow b_2 4))) (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 4))) (* 2 (/ 1 c)))))))
(* -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)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -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)
(/ b_2 a)
(* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a)))
(* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (/ 1 a))))
(* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (/ 1 a)))))
(* -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)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (+ (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/32 (/ (* (pow a 4) (pow c 4)) (pow b_2 6))) (* -1/128 (/ (* (pow a 4) (pow c 4)) (pow b_2 6))))))) b_2)
(* -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) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* -1/32 (/ (* (pow a 3) (pow c 4)) (pow b_2 6))) (* -1/128 (/ (* (pow a 3) (pow c 4)) (pow b_2 6))))))) b_2)
(* a c)
(* a c)
(* a c)
(* a c)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(* 1/2 (* b_2 c))
(* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)))
(* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)))
(* b_2 (+ (* -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))
(* -1/4 (pow c 2))
(- (* 1/64 (/ (* (pow a 2) (pow c 4)) (pow b_2 4))) (* 1/4 (pow c 2)))
(- (* 1/64 (/ (* (pow a 2) (pow c 4)) (pow b_2 4))) (* 1/4 (pow c 2)))
(- (* 1/64 (/ (* (pow a 2) (pow c 4)) (pow b_2 4))) (* 1/4 (pow c 2)))
(* -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)
(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)))))
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)))))))
(* -1/2 (/ 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)
(* -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)))))))
(* -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 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))))))))
(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)))))
(* -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 (/ a b_2))
(* -1 (/ (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* 1/2 a)) b_2))
(* -1 (/ (- (+ (* 1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 a)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 2)))) b_2))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/32 (* (pow a 4) (pow c 3))) (* -1/128 (* (pow a 4) (pow c 3)))) (pow b_2 6))) (* 1/2 a)) (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))))) b_2))
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (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))))))))
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 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 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (/ 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))) (/ 1 a))))))
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (- (+ 2 (* -1 (/ (+ (* -1/8 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2)))) (pow b_2 4)))) (* 1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (- (+ 2 (* -1 (/ (+ (* -1/4 (* a (* c (+ (* -1/8 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2))))))) (+ (* -1/16 (* (pow a 3) (pow c 3))) (* 2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a c))))) (pow b_2 6)))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/4 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2))))))))
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (- (+ (* -1 (/ (+ (* -1/8 (* a (pow c 2))) (* 1/4 (* a (pow c 2)))) (pow b_2 4))) (* 2 (/ 1 a))) (* 1/2 (/ c (pow b_2 2))))))
(* -1 (* b_2 (- (+ (* -1 (/ (+ (* -1/4 (* a (* c (+ (* -1/8 (* a (pow c 2))) (* 1/4 (* a (pow c 2))))))) (+ (* -1/16 (* (pow a 2) (pow c 3))) (* 2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b_2 6))) (* 2 (/ 1 a))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/4 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))))))
(* a c)
(* a c)
(* a c)
(* a c)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(* 1/2 (* b_2 c))
(* -1 (* b_2 (+ (* -1/2 c) (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))))))
(* -1 (* b_2 (+ (* -1/2 c) (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))))))
(* -1 (* b_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))
(+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))
(+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))
(* -1/4 (pow c 2))
(- (* 1/64 (/ (* (pow a 2) (pow c 4)) (pow b_2 4))) (* 1/4 (pow c 2)))
(- (* 1/64 (/ (* (pow a 2) (pow c 4)) (pow b_2 4))) (* 1/4 (pow c 2)))
(- (* 1/64 (/ (* (pow a 2) (pow c 4)) (pow b_2 4))) (* 1/4 (pow c 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)))))))
(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)))))
(* -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))))))))
(* -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))

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

rewrite271.0ms (3%)

Memory

14.7MiB live, 403.1MiB allocated

Rules

5 946×	`lower-*.f32`
5 924×	`lower-*.f64`
3 596×	`lower-/.f32`
3 572×	`lower-/.f64`
2 858×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	367
0	91	361
1	362	325
2	2888	287
0	8793	284

Stop Event

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

Counts

22 → 868

Calls

Call 1

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

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

eval256.0ms (2.8%)

Memory: 31.1MiB live, 473.9MiB allocated
Compiler: Compiled 54 832 to 4 866 computations (91.1% saved)

prune264.0ms (2.9%)

Memory

-11.3MiB live, 452.1MiB allocated

Pruning

31 alts after pruning (26 fresh and 5 done)

	Pruned	Kept	Total
New	1 842	15	1 857
Fresh	7	11	18
Picked	2	3	5
Done	0	2	2
Total	1 851	31	1 882

Accuracy

88.9%

Counts

1 882 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	15.8%	(pow.f64 (pow.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	27.8%	(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (.f64 b_2 b_2))) a (.f64 (neg.f64 a) b_2)) (*.f64 a a))
	18.3%	(/.f64 (/.f64 (fma.f64 (.f64 (neg.f64 b_2) b_2) (sqrt.f64 (fma.f64 (.f64 c a) (fma.f64 c a (.f64 b_2 b_2)) (pow.f64 b_2 #s(literal 4 binary64)))) (.f64 (+.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))))) (.f64 (+.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 (.f64 c a) (fma.f64 c a (.f64 b_2 b_2)) (pow.f64 b_2 #s(literal 4 binary64)))))) a)
	26.5%	(/.f64 (/.f64 (-.f64 (fma.f64 c (neg.f64 a) (.f64 b_2 b_2)) (.f64 b_2 b_2)) (+.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2)) a)
	25.6%	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))))))) a)
	27.0%	(/.f64 (/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (.f64 a c)) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) a)
	22.8%	(/.f64 (-.f64 (fma.f64 c (neg.f64 a) (.f64 b_2 b_2)) (.f64 b_2 b_2)) (.f64 a (+.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (.f64 b_2 b_2))) b_2)))
	23.9%	(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))))
	29.6%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) a) (.f64 (/.f64 a (sqrt.f64 (fma.f64 c (neg.f64 a) (.f64 b_2 b_2)))) b_2)) (.f64 (/.f64 a (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)))) a))
✓	46.1%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) a)
	27.8%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) a)
	10.9%	(/.f64 (-.f64 #s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) (fma.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64) b_2)) b_2) a)
	26.5%	(/.f64 (.f64 (-.f64 (fma.f64 c (neg.f64 a) (.f64 b_2 b_2)) (.f64 b_2 b_2)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (.f64 b_2 b_2))) b_2) #s(literal -1 binary64))) a)
	26.6%	(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (pow.f64 a #s(literal -1 binary64))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))
	32.0%	(/.f64 #s(approx (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (.f64 (fma.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 2 binary64)) (neg.f64 b_2))) a)
✓	32.2%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
▶	20.1%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (neg.f64 a))) (.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))))
	27.8%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2)))
✓	32.1%	(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
	32.0%	(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #s(literal -1 binary64)) a))
▶	39.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))))
▶	39.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (.f64 (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2)))
✓	45.1%	(-.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) a) (/.f64 b_2 a))
▶	8.7%	(-.f64 #s(approx (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/.f64 b_2 a)) (/.f64 b_2 a))
	32.1%	(.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #s(literal -1 binary64)) #s(literal -1 binary64)))
	27.8%	(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) #s(literal -1 binary64)))
	12.8%	(exp.f64 (.f64 (log.f64 (/.f64 a (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2))) #s(literal -1 binary64)))
	14.8%	(exp.f64 (.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64)))
	25.6%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 (.f64 c a) b_2) (.f64 #s(literal 1/2 binary64) c)) (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 c c) a) b_2) b_2) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 c c))))) b_2))
✓	39.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
	31.9%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))

Compiler

Compiled 1 038 to 724 computations (30.3% saved)

simplify139.0ms (1.5%)

Memory

20.3MiB live, 98.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
cost-diff	0	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
cost-diff	5824	(pow.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #s(literal 1/2 binary64))
cost-diff	7104	(pow.f64 (pow.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #s(literal 1/2 binary64)) #s(literal 2 binary64))
cost-diff	256	(.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (neg.f64 a))
cost-diff	640	(.f64 #s(literal 0 binary64) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (neg.f64 a))) (.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))))
cost-diff	1536	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (neg.f64 a))) (.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
cost-diff	0	(fma.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c))
cost-diff	0	#s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (.f64 (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (.f64 (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2)))
cost-diff	704	(.f64 (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2)
cost-diff	0	(/.f64 b_2 a)
cost-diff	0	#s(approx (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/.f64 b_2 a))
cost-diff	0	(-.f64 #s(approx (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/.f64 b_2 a)) (/.f64 b_2 a))
cost-diff	0	(/.f64 a b_2)
cost-diff	0	(fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))
cost-diff	0	#s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64))))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))))

Rules

4 584×	`lower-*.f32`
4 572×	`lower-*.f64`
4 282×	`lower-fma.f32`
4 278×	`lower-fma.f64`
1 482×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	577
0	76	573
1	134	537
2	261	403
3	899	403
4	2379	403
5	3836	403
6	5505	403
7	6328	403
8	6813	403
9	7196	403
0	8510	403

Stop Event

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

Calls

Call 1

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

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

localize170.0ms (1.9%)

Memory

-33.6MiB live, 189.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.244472509768442	(pow.f64 (pow.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #s(literal 1/2 binary64)) #s(literal 2 binary64))
accuracy	0.8942874564466627	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
accuracy	3.8294393749368965	(pow.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #s(literal 1/2 binary64))
accuracy	21.757946846158866	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
accuracy	0.125	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (neg.f64 a))) (.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))))
accuracy	0.28051216344548985	(.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (neg.f64 a))
accuracy	14.711716489778889	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (neg.f64 a))) (.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
accuracy	21.757946846158866	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
accuracy	0.125	(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (.f64 (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2)))
accuracy	2.4371994956430076	(.f64 (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2)
accuracy	3.084227465195364	(/.f64 a (*.f64 b_2 b_2))
accuracy	18.486947942904035	#s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (.f64 (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2))
accuracy	0	(/.f64 b_2 a)
accuracy	9.977830479810708	(-.f64 #s(approx (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/.f64 b_2 a)) (/.f64 b_2 a))
accuracy	18.82976224516871	#s(approx (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/.f64 b_2 a))
accuracy	0.00390625	(*.f64 (/.f64 b_2 c) #s(literal -2 binary64))
accuracy	0.0078125	(fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))
accuracy	0.125	(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))))
accuracy	18.486947942904035	#s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64))))

Samples

35.0ms	86×	0	invalid
27.0ms	34×	1	valid
24.0ms	78×	0	valid
20.0ms	32×	1	invalid
10.0ms	15×	2	valid
8.0ms	11×	2	invalid

Compiler

Compiled 446 to 46 computations (89.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-mult: 29.0ms (30.7% of total)

ival-div: 24.0ms (25.4% of total)

ival-neg: 14.0ms (14.8% of total)

ival-sqrt: 7.0ms (7.4% of total)

adjust: 6.0ms (6.3% of total)

ival-add: 6.0ms (6.3% of total)

ival-sub: 5.0ms (5.3% of total)

ival-pow2: 3.0ms (3.2% of total)

exact: 1.0ms (1.1% of total)

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

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

series114.0ms (1.3%)

Memory

9.2MiB live, 127.2MiB allocated

Counts

21 → 708

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (.f64 (/.f64 b_2 c) #s(literal -2 binary64))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (.f64 (/.f64 b_2 c) #s(literal -2 binary64)))) (patch #s(approx (/ a (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (.f64 (/.f64 b_2 c) #s(literal -2 binary64))) (patch (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (.f64 (/.f64 b_2 c) #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 a b_2) (patch (/.f64 a b_2) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/.f64 b_2 a)) (/.f64 b_2 a)) (patch (-.f64 #s(approx (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/.f64 b_2 a)) (/.f64 b_2 a)) #<representation binary64>) () ())
#s(alt #s(approx (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/.f64 b_2 a)) (patch #s(approx (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/.f64 b_2 a)) #<representation binary64>) () ())
#s(alt (/.f64 b_2 a) (patch (/.f64 b_2 a) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2) (patch (.f64 (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (.f64 (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (.f64 (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2))) #<representation binary64>) () ())
#s(alt #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (.f64 (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2)) (patch #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (.f64 (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) (patch (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (.f64 #s(literal 0 binary64) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (neg.f64 a))) (.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)))) (patch (/.f64 (-.f64 (.f64 #s(literal 0 binary64) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (neg.f64 a))) (.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (neg.f64 a))) (.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (neg.f64 a))) (.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 0 binary64) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (patch (.f64 #s(literal 0 binary64) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (neg.f64 a)) (patch (.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (neg.f64 a)) #<representation binary64>) () ())
#s(alt (pow.f64 (pow.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) #s(literal 1/2 binary64)) (patch (pow.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (patch (/.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #<representation binary64>) () ())
#s(alt #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) (patch #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 b_2 c) #s(literal -2 binary64)) (patch (.f64 (/.f64 b_2 c) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 a (.f64 b_2 b_2)) (patch (/.f64 a (.f64 b_2 b_2)) #<representation binary64>) () ())

Outputs
#s(alt (* -1/2 (/ c b_2)) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (.f64 (/.f64 b_2 c) #s(literal -2 binary64))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (.f64 (/.f64 b_2 c) #s(literal -2 binary64))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (.f64 (/.f64 b_2 c) #s(literal -2 binary64))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (.f64 (/.f64 b_2 c) #s(literal -2 binary64))))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ b_2 c)) (taylor 0 a) (#s(alt #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (.f64 (/.f64 b_2 c) #s(literal -2 binary64)))) (patch #s(approx (/ a (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2))) (taylor 0 a) (#s(alt #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (.f64 (/.f64 b_2 c) #s(literal -2 binary64)))) (patch #s(approx (/ a (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ b_2 c)) (* a (+ (* -1 (* a (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2))))) (taylor 0 a) (#s(alt #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (.f64 (/.f64 b_2 c) #s(literal -2 binary64)))) (patch #s(approx (/ a (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ b_2 c)) (* a (+ (* a (- (* -1 (* a (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 2))) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 2) (pow b_2 5))))))) (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2))))) (taylor 0 a) (#s(alt #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (.f64 (/.f64 b_2 c) #s(literal -2 binary64)))) (patch #s(approx (/ a (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ b_2 c)) (taylor 0 a) (#s(alt (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (.f64 (/.f64 b_2 c) #s(literal -2 binary64))) (patch (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (.f64 (/.f64 b_2 c) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2))) (taylor 0 a) (#s(alt (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (.f64 (/.f64 b_2 c) #s(literal -2 binary64))) (patch (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (.f64 (/.f64 b_2 c) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2))) (taylor 0 a) (#s(alt (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (.f64 (/.f64 b_2 c) #s(literal -2 binary64))) (patch (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (.f64 (/.f64 b_2 c) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2))) (taylor 0 a) (#s(alt (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (.f64 (/.f64 b_2 c) #s(literal -2 binary64))) (patch (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (.f64 (/.f64 b_2 c) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ a b_2) (taylor 0 a) (#s(alt (/.f64 a b_2) (patch (/.f64 a b_2) #<representation binary64>) () ())) ())
#s(alt (/ a b_2) (taylor 0 a) (#s(alt (/.f64 a b_2) (patch (/.f64 a b_2) #<representation binary64>) () ())) ())
#s(alt (/ a b_2) (taylor 0 a) (#s(alt (/.f64 a b_2) (patch (/.f64 a b_2) #<representation binary64>) () ())) ())
#s(alt (/ a b_2) (taylor 0 a) (#s(alt (/.f64 a b_2) (patch (/.f64 a b_2) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b_2)) (taylor 0 a) (#s(alt (-.f64 #s(approx (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/.f64 b_2 a)) (/.f64 b_2 a)) (patch (-.f64 #s(approx (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/.f64 b_2 a)) (/.f64 b_2 a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))) (taylor 0 a) (#s(alt (-.f64 #s(approx (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/.f64 b_2 a)) (/.f64 b_2 a)) (patch (-.f64 #s(approx (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/.f64 b_2 a)) (/.f64 b_2 a)) #<representation binary64>) () ())) ())
#s(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)))))) (taylor 0 a) (#s(alt (-.f64 #s(approx (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/.f64 b_2 a)) (/.f64 b_2 a)) (patch (-.f64 #s(approx (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/.f64 b_2 a)) (/.f64 b_2 a)) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 a) (#s(alt (-.f64 #s(approx (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/.f64 b_2 a)) (/.f64 b_2 a)) (patch (-.f64 #s(approx (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/.f64 b_2 a)) (/.f64 b_2 a)) #<representation binary64>) () ())) ())
#s(alt (/ b_2 a) (taylor 0 a) (#s(alt #s(approx (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/.f64 b_2 a)) (patch #s(approx (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/.f64 b_2 a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ b_2 (* -1/2 (/ (* a c) b_2))) a) (taylor 0 a) (#s(alt #s(approx (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/.f64 b_2 a)) (patch #s(approx (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/.f64 b_2 a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) a) (taylor 0 a) (#s(alt #s(approx (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/.f64 b_2 a)) (patch #s(approx (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/.f64 b_2 a)) #<representation binary64>) () ())) ())
#s(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)))))))) a) (taylor 0 a) (#s(alt #s(approx (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/.f64 b_2 a)) (patch #s(approx (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/.f64 b_2 a)) #<representation binary64>) () ())) ())
#s(alt (/ b_2 a) (taylor 0 a) (#s(alt (/.f64 b_2 a) (patch (/.f64 b_2 a) #<representation binary64>) () ())) ())
#s(alt (/ b_2 a) (taylor 0 a) (#s(alt (/.f64 b_2 a) (patch (/.f64 b_2 a) #<representation binary64>) () ())) ())
#s(alt (/ b_2 a) (taylor 0 a) (#s(alt (/.f64 b_2 a) (patch (/.f64 b_2 a) #<representation binary64>) () ())) ())
#s(alt (/ b_2 a) (taylor 0 a) (#s(alt (/.f64 b_2 a) (patch (/.f64 b_2 a) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ b_2 c)) (taylor 0 a) (#s(alt (.f64 (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2) (patch (.f64 (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2))) (taylor 0 a) (#s(alt (.f64 (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2) (patch (.f64 (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2))) (taylor 0 a) (#s(alt (.f64 (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2) (patch (.f64 (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2))) (taylor 0 a) (#s(alt (.f64 (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2) (patch (.f64 (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b_2)) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (.f64 (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (.f64 (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (.f64 (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (.f64 (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (.f64 (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (.f64 (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 a) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (.f64 (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (.f64 (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ b_2 c)) (taylor 0 a) (#s(alt #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (.f64 (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2)) (patch #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (.f64 (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2)) #<representation binary64>) () ())) ())
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#s(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))))))) (taylor -inf b_2) (#s(alt (pow.f64 (pow.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ b_2 a)) (* (sqrt -1) (sqrt 2)))) (taylor -inf b_2) (#s(alt (pow.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) #s(literal 1/2 binary64)) (patch (pow.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (+ (* 1/4 (* (sqrt (/ a (pow b_2 5))) (/ (* c (sqrt -1)) (sqrt 2)))) (* (sqrt (/ 1 (* a b_2))) (* (sqrt -1) (sqrt 2)))))) (taylor -inf b_2) (#s(alt (pow.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) #s(literal 1/2 binary64)) (patch (pow.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (+ (* -1 (/ (+ (* -1/4 (* (sqrt (* a b_2)) (/ (* c (sqrt -1)) (sqrt 2)))) (* -1/16 (* (sqrt (/ (pow a 3) (pow b_2 3))) (/ (* (pow c 2) (sqrt -1)) (sqrt 2))))) (pow b_2 3))) (* (sqrt (/ 1 (* a b_2))) (* (sqrt -1) (sqrt 2)))))) (taylor -inf b_2) (#s(alt (pow.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) #s(literal 1/2 binary64)) (patch (pow.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (+ (* -1 (/ (+ (* -1/4 (* (sqrt (* a b_2)) (/ (* c (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow b_2 3))) (/ (* (pow c 2) (sqrt -1)) (sqrt 2)))) (* 1/32 (* (sqrt (/ (pow a 3) (pow b_2 3))) (/ (* (pow c 2) (sqrt -1)) (pow (sqrt 2) 3)))))) (pow b_2 3))) (* (sqrt (/ 1 (* a b_2))) (* (sqrt -1) (sqrt 2)))))) (taylor -inf b_2) (#s(alt (pow.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) #s(literal 1/2 binary64)) (patch (pow.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ b_2 a)) (taylor -inf b_2) (#s(alt (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (patch (/.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))) (taylor -inf b_2) (#s(alt (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (patch (/.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a)))))) (taylor -inf b_2) (#s(alt (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (patch (/.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf b_2) (#s(alt (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (patch (/.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #<representation binary64>) () ())) ())
#s(alt (* -2 b_2) (taylor -inf b_2) (#s(alt #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) (patch #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))))) (taylor -inf b_2) (#s(alt #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) (patch #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf b_2) (#s(alt #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) (patch #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor -inf b_2) (#s(alt #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) (patch #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ b_2 c)) (taylor -inf b_2) (#s(alt (.f64 (/.f64 b_2 c) #s(literal -2 binary64)) (patch (.f64 (/.f64 b_2 c) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ b_2 c)) (taylor -inf b_2) (#s(alt (.f64 (/.f64 b_2 c) #s(literal -2 binary64)) (patch (.f64 (/.f64 b_2 c) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ b_2 c)) (taylor -inf b_2) (#s(alt (.f64 (/.f64 b_2 c) #s(literal -2 binary64)) (patch (.f64 (/.f64 b_2 c) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ b_2 c)) (taylor -inf b_2) (#s(alt (.f64 (/.f64 b_2 c) #s(literal -2 binary64)) (patch (.f64 (/.f64 b_2 c) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ a (pow b_2 2)) (taylor -inf b_2) (#s(alt (/.f64 a (.f64 b_2 b_2)) (patch (/.f64 a (.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (/ a (pow b_2 2)) (taylor -inf b_2) (#s(alt (/.f64 a (.f64 b_2 b_2)) (patch (/.f64 a (.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (/ a (pow b_2 2)) (taylor -inf b_2) (#s(alt (/.f64 a (.f64 b_2 b_2)) (patch (/.f64 a (.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (/ a (pow b_2 2)) (taylor -inf b_2) (#s(alt (/.f64 a (.f64 b_2 b_2)) (patch (/.f64 a (.f64 b_2 b_2)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
19.0ms	a	@	inf	((/ 1 (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (+ (* (/ a b_2) 1/2) (* (/ b_2 c) -2)) (/ a b_2) (- (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/ b_2 a)) (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/ b_2 a) (* (+ (* (/ a (* b_2 b_2)) 1/2) (/ -2 c)) b_2) (/ 1 (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (+ (* (/ a (* b_2 b_2)) 1/2) (/ -2 c)) (/ (- (* 0 (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* (neg (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (neg a))) (* (neg (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ 1 (/ (- (* 0 (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* (neg (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (neg a))) (* (neg (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))))) (* 0 (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* (neg (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (neg a)) (pow (pow (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) 1/2) 2) (pow (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) 1/2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (/ b_2 c) -2) (/ a (* b_2 b_2)))
8.0ms	a	@	-inf	((/ 1 (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (+ (* (/ a b_2) 1/2) (* (/ b_2 c) -2)) (/ a b_2) (- (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/ b_2 a)) (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/ b_2 a) (* (+ (* (/ a (* b_2 b_2)) 1/2) (/ -2 c)) b_2) (/ 1 (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (+ (* (/ a (* b_2 b_2)) 1/2) (/ -2 c)) (/ (- (* 0 (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* (neg (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (neg a))) (* (neg (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ 1 (/ (- (* 0 (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* (neg (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (neg a))) (* (neg (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))))) (* 0 (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* (neg (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (neg a)) (pow (pow (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) 1/2) 2) (pow (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) 1/2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (/ b_2 c) -2) (/ a (* b_2 b_2)))
5.0ms	b_2	@	-inf	((/ 1 (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (+ (* (/ a b_2) 1/2) (* (/ b_2 c) -2)) (/ a b_2) (- (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/ b_2 a)) (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/ b_2 a) (* (+ (* (/ a (* b_2 b_2)) 1/2) (/ -2 c)) b_2) (/ 1 (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (+ (* (/ a (* b_2 b_2)) 1/2) (/ -2 c)) (/ (- (* 0 (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* (neg (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (neg a))) (* (neg (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ 1 (/ (- (* 0 (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* (neg (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (neg a))) (* (neg (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))))) (* 0 (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* (neg (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (neg a)) (pow (pow (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) 1/2) 2) (pow (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) 1/2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (/ b_2 c) -2) (/ a (* b_2 b_2)))
5.0ms	b_2	@	inf	((/ 1 (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (+ (* (/ a b_2) 1/2) (* (/ b_2 c) -2)) (/ a b_2) (- (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/ b_2 a)) (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/ b_2 a) (* (+ (* (/ a (* b_2 b_2)) 1/2) (/ -2 c)) b_2) (/ 1 (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (+ (* (/ a (* b_2 b_2)) 1/2) (/ -2 c)) (/ (- (* 0 (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* (neg (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (neg a))) (* (neg (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ 1 (/ (- (* 0 (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* (neg (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (neg a))) (* (neg (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))))) (* 0 (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* (neg (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (neg a)) (pow (pow (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) 1/2) 2) (pow (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) 1/2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (/ b_2 c) -2) (/ a (* b_2 b_2)))
4.0ms	a	@	0	((/ 1 (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (+ (* (/ a b_2) 1/2) (* (/ b_2 c) -2)) (/ a b_2) (- (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/ b_2 a)) (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/ b_2 a) (* (+ (* (/ a (* b_2 b_2)) 1/2) (/ -2 c)) b_2) (/ 1 (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (+ (* (/ a (* b_2 b_2)) 1/2) (/ -2 c)) (/ (- (* 0 (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* (neg (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (neg a))) (* (neg (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ 1 (/ (- (* 0 (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* (neg (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (neg a))) (* (neg (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))))) (* 0 (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* (neg (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (neg a)) (pow (pow (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) 1/2) 2) (pow (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) 1/2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (/ b_2 c) -2) (/ a (* b_2 b_2)))

simplify239.0ms (2.7%)

Memory

18.0MiB live, 277.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 352×	`lower-*.f64`
8 352×	`lower-*.f32`
7 706×	`lower-fma.f64`
7 706×	`lower-fma.f32`
4 966×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1319	15653
1	4320	15230
0	9207	14584

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 708

Calls

Call 1

Inputs
(* -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))))))))
(* -2 (/ b_2 c))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(+ (* -2 (/ b_2 c)) (* a (+ (* -1 (* a (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 c)) (* a (+ (* a (- (* -1 (* a (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 2))) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 2) (pow b_2 5))))))) (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2)))))
(* -2 (/ b_2 c))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a 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)) (* 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))))))))
(/ b_2 a)
(/ (+ b_2 (* -1/2 (/ (* a c) b_2))) a)
(/ (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) a)
(/ (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))) a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(* -2 (/ b_2 c))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a 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)) (* 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))))))))
(* -2 (/ b_2 c))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(+ (* -2 (/ b_2 c)) (* a (+ (* -1 (* a (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 c)) (* a (+ (* a (- (* -1 (* a (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 2))) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 2) (pow b_2 5))))))) (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2)))))
(/ -2 c)
(- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))
(- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))
(- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))
(* -2 (/ b_2 c))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(+ (* -2 (/ b_2 c)) (* a (+ (* -1 (* a (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 c)) (* a (+ (* a (- (* -1 (* a (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 2))) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 2) (pow b_2 5))))))) (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 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)) (* 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))))))))
0
0
0
0
(* -1/2 (/ (* (pow a 2) c) b_2))
(* (pow a 2) (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* (pow a 2) (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* (pow a 2) (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* -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 b_2)) (sqrt -1/2))
(+ (* -1/16 (* (/ a (sqrt -1/2)) (sqrt (/ (pow c 3) (pow b_2 5))))) (* (sqrt (/ c b_2)) (sqrt -1/2)))
(+ (* a (+ (* -1/16 (* (sqrt (/ (pow c 3) (pow b_2 5))) (/ 1 (sqrt -1/2)))) (* 1/2 (* (/ (* a (- (* -1/16 (/ (pow c 3) (pow b_2 5))) (* 1/256 (/ (pow c 3) (* (pow b_2 5) (pow (sqrt -1/2) 2)))))) (sqrt -1/2)) (sqrt (/ b_2 c)))))) (* (sqrt (/ c b_2)) (sqrt -1/2)))
(+ (* a (+ (* -1/16 (* (sqrt (/ (pow c 3) (pow b_2 5))) (/ 1 (sqrt -1/2)))) (* a (+ (* 1/2 (* (sqrt (/ b_2 c)) (/ (- (* -1/16 (/ (pow c 3) (pow b_2 5))) (* 1/256 (/ (pow c 3) (* (pow b_2 5) (pow (sqrt -1/2) 2))))) (sqrt -1/2)))) (* 1/2 (* (/ (* a (- (* -1/2 (/ (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6)))) b_2)) (* -1/16 (/ (* c (- (* -1/16 (/ (pow c 3) (pow b_2 5))) (* 1/256 (/ (pow c 3) (* (pow b_2 5) (pow (sqrt -1/2) 2)))))) (* (pow b_2 2) (pow (sqrt -1/2) 2)))))) (sqrt -1/2)) (sqrt (/ b_2 c)))))))) (* (sqrt (/ c b_2)) (sqrt -1/2)))
(* -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)) (* 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))))))))
(* -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)))))))))
(/ a (pow b_2 2))
(/ a (pow b_2 2))
(/ a (pow b_2 2))
(/ a (pow b_2 2))
(* (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)))))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))
(* 1/2 (/ a b_2))
(* a (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* a (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* a (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -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)))) (/ b_2 a))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -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))))
(+ (* -1/8 (* (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)))))
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(* 1/2 (/ a b_2))
(* a (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* a (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* a (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* (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)))))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))
(* 1/2 (/ a (pow b_2 2)))
(* a (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c)))))
(* a (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c)))))
(* a (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c)))))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (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)))))
0
0
0
0
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (pow a 2) (+ (* -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))))))
(* (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)))))
(* (pow (/ (* 1 c) a) 1/4) (sqrt (sqrt -1)))
(+ (* -1/2 (* (pow (/ 1 (* (pow a 3) c)) 1/4) (* b_2 (sqrt (/ 1 (sqrt -1)))))) (* (pow (/ (* 1 c) a) 1/4) (sqrt (sqrt -1))))
(+ (* -1/2 (* (pow (/ 1 (* (pow a 3) c)) 1/4) (* b_2 (sqrt (/ 1 (sqrt -1)))))) (+ (* 1/2 (* (pow (/ 1 (* (pow a 7) c)) 1/4) (* (sqrt (/ 1 (sqrt -1))) (- (* 1/2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))))))) (* (pow (/ (* 1 c) a) 1/4) (sqrt (sqrt -1)))))
(+ (* -1/2 (* (pow (/ 1 (* (pow a 3) c)) 1/4) (* b_2 (sqrt (/ 1 (sqrt -1)))))) (+ (* 1/4 (* (pow (/ 1 (* (pow a 9) (pow c 3))) 1/4) (* (* b_2 (- (* 1/2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))))) (sqrt (/ 1 (pow (sqrt -1) 3)))))) (+ (* 1/2 (* (pow (/ 1 (* (pow a 7) c)) 1/4) (* (sqrt (/ 1 (sqrt -1))) (- (* 1/2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))))))) (* (pow (/ (* 1 c) a) 1/4) (sqrt (sqrt -1))))))
(* (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)))))
(* (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)))
(/ a (pow b_2 2))
(/ a (pow b_2 2))
(/ a (pow b_2 2))
(/ a (pow b_2 2))
(* -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 (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ b_2 c)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) c))) a)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b_2 3)) (pow c 2))) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))))))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))) a)) (* -1 (/ (* a b_2) c))) a)))
(* 1/2 (/ a b_2))
(* -1 (* a (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* a (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* a (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) (* -1 b_2)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -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)) (* -1 b_2)) a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))))))
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(* 1/2 (/ a b_2))
(* -1 (* a (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* a (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* a (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -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 (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ b_2 c)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) c))) a)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b_2 3)) (pow c 2))) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))))))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))) a)) (* -1 (/ (* a b_2) c))) a)))
(* 1/2 (/ a (pow b_2 2)))
(* -1 (* a (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))))
(* -1 (* a (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))))
(* -1 (* a (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))))
(* -1 (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (* a b_2) c)) (* -2 (/ (* a b_2) c))) a)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (* a b_2) c)) (* -1 (/ (- (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (+ (* -2 (* (sqrt (/ a c)) (* b_2 (* (sqrt -1) (- (* -1 (/ (* a b_2) c)) (* -2 (/ (* a b_2) c))))))) (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))))) a))) (* -2 (/ (* a b_2) c))) a)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (* a b_2) c)) (* -1 (/ (- (+ (* -2 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (- (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (+ (* -2 (* (sqrt (/ a c)) (* b_2 (* (sqrt -1) (- (* -1 (/ (* a b_2) c)) (* -2 (/ (* a b_2) c))))))) (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))))))))) (+ (* -2 (/ (* (pow b_2 2) (- (* -1 (/ (* a b_2) c)) (* -2 (/ (* a b_2) c)))) c)) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (/ (* a (pow b_2 3)) (pow c 2))))) (+ (* -2 (* (sqrt (/ a c)) (* b_2 (* (sqrt -1) (- (* -1 (/ (* a b_2) c)) (* -2 (/ (* a b_2) c))))))) (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))))) a))) (* -2 (/ (* a b_2) c))) a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* 2 b_2) b_2) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (* -2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (+ (* -1 (* (sqrt (/ a c)) (* b_2 (* (sqrt -1) (- (* 2 b_2) b_2))))) (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))))) a)) (* 2 b_2)) b_2) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* -1 (/ (- (* -1 (/ (* a (pow b_2 3)) c)) (+ (* -1 (* (sqrt (/ a c)) (* b_2 (* (sqrt -1) (- (* -2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (+ (* -1 (* (sqrt (/ a c)) (* b_2 (* (sqrt -1) (- (* 2 b_2) b_2))))) (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))))))))) (* -1/2 (/ (* a (* (pow b_2 2) (- (* 2 b_2) b_2))) c)))) a))) (+ (* -1 (* (sqrt (/ a c)) (* b_2 (* (sqrt -1) (- (* 2 b_2) b_2))))) (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))))) a)) (* 2 b_2)) b_2) a)))
0
0
0
0
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a))))
(* (sqrt (/ c a)) (pow (sqrt -1) 3))
(+ (* (sqrt (/ c a)) (pow (sqrt -1) 3)) (/ (* b_2 (pow (sqrt -1) 2)) a))
(+ (* -1 (/ (+ (* -1 (* b_2 (pow (sqrt -1) 2))) (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (pow (sqrt -1) 3))))) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))
(+ (* -1 (/ (+ (* -1 (* b_2 (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (pow (sqrt -1) 3))))) a))) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))
(* (pow (/ (* -1 c) a) 1/4) (sqrt -1))
(+ (* -1/2 (* (pow (/ -1 (* (pow a 3) c)) 1/4) (/ b_2 (sqrt -1)))) (* (pow (/ (* -1 c) a) 1/4) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (pow (/ -1 (* (pow a 3) c)) 1/4) (/ (- (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))))) (sqrt -1)))) (* 1/2 (* (pow (/ (* -1 a) c) 1/4) (/ b_2 (sqrt -1))))) a)) (* (pow (/ (* -1 c) a) 1/4) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (* (pow (/ -1 (* a (pow c 3))) 1/4) (/ (* b_2 (- (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1)))))) (pow (sqrt -1) 3)))) (* 1/2 (* (pow (/ (* -1 a) c) 1/4) (/ (- (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))))) (sqrt -1))))) a)) (* 1/2 (* (pow (/ (* -1 a) c) 1/4) (/ b_2 (sqrt -1))))) a)) (* (pow (/ (* -1 c) a) 1/4) (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 (* (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)))))
(/ a (pow b_2 2))
(/ a (pow b_2 2))
(/ a (pow b_2 2))
(/ a (pow b_2 2))
(* -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))))
(* -2 (/ b_2 c))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) c)
(/ (+ (* -2 b_2) (* c (- (* -1 (* c (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3)))))) (* -1/2 (/ a b_2))))) c)
(/ (+ (* -2 b_2) (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) a)) (+ (* -1/4 (/ (* a (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow a 3) (pow b_2 5))))))) (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3)))))) (* -1/2 (/ a b_2))))) c)
(* -2 (/ b_2 c))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) c)
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) c)
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) c)
(* -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))))
(/ b_2 a)
(+ (* -1/2 (/ c b_2)) (/ b_2 a))
(+ (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) (/ b_2 a))
(+ (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2)))) (/ b_2 a))
(* -2 (/ b_2 c))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) c)
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) c)
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) c)
(* -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))))
(* -2 (/ b_2 c))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) c)
(/ (+ (* -2 b_2) (* c (- (* -1 (* c (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3)))))) (* -1/2 (/ a b_2))))) c)
(/ (+ (* -2 b_2) (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) a)) (+ (* -1/4 (/ (* a (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow a 3) (pow b_2 5))))))) (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3)))))) (* -1/2 (/ a b_2))))) c)
(/ -2 c)
(/ (- (* 1/2 (/ (* a c) (pow b_2 2))) 2) c)
(/ (- (* 1/2 (/ (* a c) (pow b_2 2))) 2) c)
(/ (- (* 1/2 (/ (* a c) (pow b_2 2))) 2) c)
(* -2 (/ b_2 c))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) c)
(/ (+ (* -2 b_2) (* c (- (* -1 (* c (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3)))))) (* -1/2 (/ a b_2))))) c)
(/ (+ (* -2 b_2) (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) a)) (+ (* -1/4 (/ (* a (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow a 3) (pow b_2 5))))))) (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3)))))) (* -1/2 (/ a b_2))))) c)
(* -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))))
0
0
0
0
(* -1/2 (/ (* (pow a 2) c) b_2))
(* c (+ (* -1/2 (/ (pow a 2) b_2)) (* -1/8 (/ (* (pow a 3) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ (pow a 2) b_2)) (* c (+ (* -1/8 (/ (pow a 3) (pow b_2 3))) (* -1/16 (/ (* (pow a 4) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ (pow a 2) b_2)) (* c (+ (* -1/8 (/ (pow a 3) (pow b_2 3))) (* c (+ (* -1/2 (/ (* a (* 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 4) (pow b_2 5)))))))))
(* -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 b_2)) (sqrt -1/2))
(+ (* -1/16 (* (/ a (sqrt -1/2)) (sqrt (/ (pow c 3) (pow b_2 5))))) (* (sqrt (/ c b_2)) (sqrt -1/2)))
(+ (* (sqrt (/ c b_2)) (sqrt -1/2)) (* (pow c 2) (+ (* -1/16 (* (/ a (sqrt -1/2)) (sqrt (/ 1 (* (pow b_2 5) c))))) (* -1/32 (* (/ (pow a 2) (sqrt -1/2)) (sqrt (/ c (pow b_2 9))))))))
(+ (* (sqrt (/ c b_2)) (sqrt -1/2)) (* (pow c 2) (+ (* -1/16 (* (/ a (sqrt -1/2)) (sqrt (/ 1 (* (pow b_2 5) c))))) (* c (+ (* -1/32 (* (/ (pow a 2) (sqrt -1/2)) (sqrt (/ 1 (* (pow b_2 9) c))))) (* 1/2 (* (sqrt (* b_2 c)) (/ (- (* -1/2 (/ (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6)))) (* a b_2))) (* 1/256 (/ (pow a 2) (* (pow b_2 5) (* c (pow (sqrt -1/2) 2)))))) (sqrt -1/2)))))))))
(* -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))))
(* -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)))))))))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* (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))))))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) c)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 4)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))) c)
(* 1/2 (/ a b_2))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c))))
(* 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)))) (/ b_2 (* a c))))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1/8 (* (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)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* 1/2 (/ a b_2))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a 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))))))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) c)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 4)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))) c)
(* 1/2 (/ a (pow b_2 2)))
(- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))
(- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))
(- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) c)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 4)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))) c)
(* (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))))))
0
0
0
0
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* c (+ (* -1 (/ (* a b_2) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))
(* c (+ (* -1 (/ (* a b_2) c)) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* c (+ (* -1 (/ (* a b_2) c)) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(* (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))))))
(* (pow (/ (* 1 c) a) 1/4) (sqrt (sqrt -1)))
(* c (+ (* -1/2 (* (pow (/ 1 (* (pow a 3) (pow c 5))) 1/4) (* b_2 (sqrt (/ 1 (sqrt -1)))))) (* (pow (/ 1 (* a (pow c 3))) 1/4) (sqrt (sqrt -1)))))
(* c (+ (* -1/2 (* (pow (/ 1 (* (pow a 3) (pow c 5))) 1/4) (* b_2 (sqrt (/ 1 (sqrt -1)))))) (+ (* 1/4 (* (pow (/ 1 (* (pow a 5) (pow c 7))) 1/4) (* (pow b_2 2) (sqrt (/ 1 (pow (sqrt -1) 3)))))) (* (pow (/ 1 (* a (pow c 3))) 1/4) (sqrt (sqrt -1))))))
(* c (+ (* -1/2 (* (pow (/ 1 (* (pow a 3) (pow c 5))) 1/4) (* b_2 (sqrt (/ 1 (sqrt -1)))))) (+ (* -1/8 (* (pow (/ 1 (* (pow a 5) (pow c 7))) 1/4) (* (pow b_2 2) (sqrt (/ 1 (pow (sqrt -1) 3)))))) (+ (* 1/4 (* (pow (/ 1 (* (pow a 5) (pow c 7))) 1/4) (* (pow b_2 2) (sqrt (/ 1 (pow (sqrt -1) 3)))))) (* (pow (/ 1 (* a (pow c 3))) 1/4) (sqrt (sqrt -1)))))))
(* (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))))))
(* (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)))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -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 (* (sqrt (/ a c)) (sqrt -1)))
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b_2 3) c) a)) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))))))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))) c)) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c))
(* 1/2 (/ a b_2))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 a)) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -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)) (/ b_2 a)) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))
(* 1/2 (/ a b_2))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(* -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 (* (sqrt (/ a c)) (sqrt -1)))
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b_2 3) c) a)) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))))))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))) c)) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c))
(* 1/2 (/ a (pow b_2 2)))
(- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))
(- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))
(- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))
(* -1 (* (sqrt (/ a c)) (sqrt -1)))
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b_2 3) c) a)) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))))))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))) c)) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c))
(* -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)))))
0
0
0
0
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ (pow a 3) c)) (sqrt -1)) (/ (* a b_2) c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (* a b_2)) (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (* a c)) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ (pow a 3) 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 (pow (/ (* -1 c) a) 1/4))
(* -1 (* c (+ (* -1/2 (* (pow (/ -1 (* (pow a 3) (pow c 5))) 1/4) b_2)) (pow (/ -1 (* a (pow c 3))) 1/4))))
(* -1 (* c (+ (* -1/2 (* (pow (/ -1 (* (pow a 3) (pow c 5))) 1/4) b_2)) (+ (* -1/4 (* (pow (/ -1 (* (pow a 5) (pow c 7))) 1/4) (pow b_2 2))) (pow (/ -1 (* a (pow c 3))) 1/4)))))
(* -1 (* c (+ (* -1 (/ (+ (* 1/8 (* (pow (/ (* -1 (pow c 5)) (pow a 5)) 1/4) (pow b_2 2))) (* 1/4 (* (pow (/ (* -1 (pow c 5)) (pow a 5)) 1/4) (pow b_2 2)))) (pow c 3))) (+ (* -1/2 (* (pow (/ -1 (* (pow a 3) (pow c 5))) 1/4) b_2)) (pow (/ -1 (* a (pow c 3))) 1/4)))))
(* -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 (* (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)))))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2))))
(+ (* b_2 (+ (* -1 (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* b_2 (+ (* b_2 (- (* -1 (* b_2 (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -1) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(* 1/2 (/ a b_2))
(/ (+ (* -2 (/ (pow b_2 2) c)) (* 1/2 a)) b_2)
(/ (+ (* -2 (/ (pow b_2 2) c)) (* 1/2 a)) b_2)
(/ (+ (* -2 (/ (pow b_2 2) c)) (* 1/2 a)) b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* (sqrt (/ c a)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (/ c a)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(* 1/2 (/ a b_2))
(/ (+ (* -2 (/ (pow b_2 2) c)) (* 1/2 a)) b_2)
(/ (+ (* -2 (/ (pow b_2 2) c)) (* 1/2 a)) b_2)
(/ (+ (* -2 (/ (pow b_2 2) c)) (* 1/2 a)) b_2)
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2))))
(+ (* b_2 (+ (* -1 (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* b_2 (+ (* b_2 (- (* -1 (* b_2 (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -1) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(* 1/2 (/ a (pow b_2 2)))
(/ (+ (* -2 (/ (pow b_2 2) c)) (* 1/2 a)) (pow b_2 2))
(/ (+ (* -2 (/ (pow b_2 2) c)) (* 1/2 a)) (pow b_2 2))
(/ (+ (* -2 (/ (pow b_2 2) c)) (* 1/2 a)) (pow b_2 2))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2))))
(+ (* b_2 (+ (* -1 (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* b_2 (+ (* b_2 (- (* -1 (* b_2 (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -1) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (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)))
0
0
0
0
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(+ (* -1 (* a b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (+ (* -1 a) (* 1/2 (* (sqrt (/ a c)) (/ b_2 (sqrt -1)))))) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (+ (* -1 a) (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))))))) (* (sqrt (* (pow a 3) 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)))
(* (pow (/ (* 1 c) a) 1/4) (sqrt (sqrt -1)))
(+ (* -1/2 (* (pow (/ 1 (* (pow a 3) c)) 1/4) (* b_2 (sqrt (/ 1 (sqrt -1)))))) (* (pow (/ (* 1 c) a) 1/4) (sqrt (sqrt -1))))
(+ (* b_2 (+ (* -1/2 (* (pow (/ 1 (* (pow a 3) c)) 1/4) (sqrt (/ 1 (sqrt -1))))) (* 1/2 (* (pow (/ (* 1 a) c) 1/4) (* (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (sqrt (/ 1 (sqrt -1)))))))) (* (pow (/ (* 1 c) a) 1/4) (sqrt (sqrt -1))))
(+ (* b_2 (+ (* -1/2 (* (pow (/ 1 (* (pow a 3) c)) 1/4) (sqrt (/ 1 (sqrt -1))))) (* b_2 (+ (* 1/4 (* (pow (/ 1 (* a (pow c 3))) 1/4) (* (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (sqrt (/ 1 (pow (sqrt -1) 3)))))) (* 1/2 (* (pow (/ (* 1 a) c) 1/4) (* (sqrt (/ 1 (sqrt -1))) (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))))))))) (* (pow (/ (* 1 c) a) 1/4) (sqrt (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)))
(* (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)))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(/ a (pow b_2 2))
(/ a (pow b_2 2))
(/ a (pow b_2 2))
(/ a (pow b_2 2))
(* -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 c))
(* b_2 (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))
(* b_2 (- (* -1 (/ (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c))) (pow b_2 4))) (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))
(* b_2 (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (+ (* -1/4 (* a (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (* 1/16 (* (pow a 3) (pow c 2))))) (pow b_2 6))) (+ (* -1/2 (/ a (pow b_2 2))) (+ (* -1/4 (/ (* (pow a 2) c) (pow b_2 4))) (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 4))) (* 2 (/ 1 c)))))))
(* -2 (/ b_2 c))
(* b_2 (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))
(* b_2 (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))
(* b_2 (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a b_2)
(* -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)
(/ b_2 a)
(* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a)))
(* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (/ 1 a))))
(* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (/ 1 a)))))
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(* -2 (/ b_2 c))
(* b_2 (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))
(* b_2 (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))
(* b_2 (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))
(* -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 c))
(* b_2 (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))
(* b_2 (- (* -1 (/ (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c))) (pow b_2 4))) (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))
(* b_2 (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (+ (* -1/4 (* a (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (* 1/16 (* (pow a 3) (pow c 2))))) (pow b_2 6))) (+ (* -1/2 (/ a (pow b_2 2))) (+ (* -1/4 (/ (* (pow a 2) c) (pow b_2 4))) (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 4))) (* 2 (/ 1 c)))))))
(/ -2 c)
(- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))
(- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))
(- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))
(* -2 (/ b_2 c))
(* b_2 (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))
(* b_2 (- (* -1 (/ (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c))) (pow b_2 4))) (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))
(* b_2 (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (+ (* -1/4 (* a (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (* 1/16 (* (pow a 3) (pow c 2))))) (pow b_2 6))) (+ (* -1/2 (/ a (pow b_2 2))) (+ (* -1/4 (/ (* (pow a 2) c) (pow b_2 4))) (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 4))) (* 2 (/ 1 c)))))))
(* -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)
0
0
0
0
(* -1/2 (/ (* (pow a 2) c) b_2))
(/ (+ (* -1/2 (* (pow a 2) c)) (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* (pow a 2) c)) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* (pow a 2) c)) (+ (* -1/2 (/ (* a (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4))))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 4)))))) b_2)
(* -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)
(* (sqrt (/ c b_2)) (sqrt -1/2))
(+ (* -1/16 (* (/ a (sqrt -1/2)) (sqrt (/ (pow c 3) (pow b_2 5))))) (* (sqrt (/ c b_2)) (sqrt -1/2)))
(+ (* -1/16 (* (/ a (sqrt -1/2)) (sqrt (/ (pow c 3) (pow b_2 5))))) (+ (* -1/32 (* (/ (pow a 2) (sqrt -1/2)) (sqrt (/ (pow c 5) (pow b_2 9))))) (* (sqrt (/ c b_2)) (sqrt -1/2))))
(+ (* -1/16 (* (/ a (sqrt -1/2)) (sqrt (/ (pow c 3) (pow b_2 5))))) (+ (* -1/32 (* (/ (pow a 2) (sqrt -1/2)) (sqrt (/ (pow c 5) (pow b_2 9))))) (+ (* -1/512 (* (/ (pow a 2) (pow (sqrt -1/2) 3)) (sqrt (/ (pow c 5) (pow b_2 9))))) (* (sqrt (/ c b_2)) (sqrt -1/2)))))
(* -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)
(* -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 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(/ a (pow b_2 2))
(/ a (pow b_2 2))
(/ a (pow b_2 2))
(/ a (pow b_2 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 (/ a b_2))
(* -1 (/ (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* 1/2 a)) b_2))
(* -1 (/ (- (+ (* 1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 a)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 2)))) b_2))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/32 (* (pow a 4) (pow c 3))) (* -1/128 (* (pow a 4) (pow c 3)))) (pow b_2 6))) (* 1/2 a)) (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))))) b_2))
(* -2 (/ b_2 c))
(* -1 (* b_2 (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))
(* -1 (* b_2 (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))
(* -1 (* b_2 (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))
(/ a b_2)
(/ a b_2)
(/ a b_2)
(/ a 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 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (/ 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))) (/ 1 a))))))
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(/ b_2 a)
(* -2 (/ b_2 c))
(* -1 (* b_2 (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))
(* -1 (* b_2 (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))
(* -1 (* b_2 (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))
(* -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 (/ a b_2))
(* -1 (/ (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* 1/2 a)) b_2))
(* -1 (/ (- (+ (* 1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 a)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 2)))) b_2))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/32 (* (pow a 4) (pow c 3))) (* -1/128 (* (pow a 4) (pow c 3)))) (pow b_2 6))) (* 1/2 a)) (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))))) b_2))
(/ -2 c)
(- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))
(- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))
(- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))
(* -1/2 (/ a b_2))
(* -1 (/ (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* 1/2 a)) b_2))
(* -1 (/ (- (+ (* 1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 a)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 2)))) b_2))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/32 (* (pow a 4) (pow c 3))) (* -1/128 (* (pow a 4) (pow c 3)))) (pow b_2 6))) (* 1/2 a)) (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))))) b_2))
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* 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)))))))
0
0
0
0
(* -2 (* a b_2))
(* -1 (* b_2 (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (* 2 a))))
(* -1 (* b_2 (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 2 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))) (* 2 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))) (+ (* -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 (* (sqrt (/ b_2 a)) (* (sqrt -1) (sqrt 2))))
(* -1 (* b_2 (+ (* 1/4 (* (sqrt (/ a (pow b_2 5))) (/ (* c (sqrt -1)) (sqrt 2)))) (* (sqrt (/ 1 (* a b_2))) (* (sqrt -1) (sqrt 2))))))
(* -1 (* b_2 (+ (* -1 (/ (+ (* -1/4 (* (sqrt (* a b_2)) (/ (* c (sqrt -1)) (sqrt 2)))) (* -1/16 (* (sqrt (/ (pow a 3) (pow b_2 3))) (/ (* (pow c 2) (sqrt -1)) (sqrt 2))))) (pow b_2 3))) (* (sqrt (/ 1 (* a b_2))) (* (sqrt -1) (sqrt 2))))))
(* -1 (* b_2 (+ (* -1 (/ (+ (* -1/4 (* (sqrt (* a b_2)) (/ (* c (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow b_2 3))) (/ (* (pow c 2) (sqrt -1)) (sqrt 2)))) (* 1/32 (* (sqrt (/ (pow a 3) (pow b_2 3))) (/ (* (pow c 2) (sqrt -1)) (pow (sqrt 2) 3)))))) (pow b_2 3))) (* (sqrt (/ 1 (* a b_2))) (* (sqrt -1) (sqrt 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)))))))
(* -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))))))))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(* -2 (/ b_2 c))
(/ a (pow b_2 2))
(/ a (pow b_2 2))
(/ a (pow b_2 2))
(/ a (pow b_2 2))

Outputs
(* -1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -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 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 a (/.f64 (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(* -2 (/ b_2 c))
(*.f64 (/.f64 b_2 c) #s(literal -2 binary64))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))
(+ (* -2 (/ b_2 c)) (* a (+ (* -1 (* a (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2)))))
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(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
(* -1 (/ (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* 1/2 a)) b_2))
(/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 a a)) b_2) (/.f64 c b_2) (*.f64 #s(literal 1/2 binary64) a)) (neg.f64 b_2))
(* -1 (/ (- (+ (* 1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 a)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 2)))) b_2))
(/.f64 (fma.f64 (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) (.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 a a)) b_2) (/.f64 c b_2) (*.f64 #s(literal 1/2 binary64) a))) (neg.f64 b_2))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/32 (* (pow a 4) (pow c 3))) (* -1/128 (* (pow a 4) (pow c 3)))) (pow b_2 6))) (* 1/2 a)) (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))))) b_2))
(/.f64 (-.f64 (-.f64 (.f64 #s(literal 1/2 binary64) a) (/.f64 (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal -5/128 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (fma.f64 (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) (.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/16 binary64) (.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 a a) c) b_2)))) (neg.f64 b_2))
(* -2 (/ b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(.f64 (neg.f64 b_2) (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c b_2) (fma.f64 (/.f64 (.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) a))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(.f64 (neg.f64 b_2) (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c b_2) (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 #s(literal 2 binary64) a)))))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(* -2 (* a b_2))
(.f64 (.f64 a b_2) #s(literal -2 binary64))
(* -1 (* b_2 (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (* 2 a))))
(.f64 (neg.f64 b_2) (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (.f64 (.f64 a a) c) b_2) (.f64 #s(literal 2 binary64) a)))
(* -1 (* b_2 (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 2 a)))))
(.f64 (neg.f64 b_2) (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (.f64 (.f64 a a) c) b_2) (fma.f64 (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) (.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (.f64 #s(literal 2 binary64) a))))
(* -1 (* b_2 (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))) (* 2 a))))))
(.f64 (neg.f64 b_2) (fma.f64 (.f64 (/.f64 (.f64 a a) b_2) (/.f64 c b_2)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) (.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (*.f64 #s(literal 2 binary64) a)))))
(* -2 (/ b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(.f64 (neg.f64 b_2) (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c b_2) (fma.f64 (/.f64 (.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) a))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(.f64 (neg.f64 b_2) (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c b_2) (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 #s(literal 2 binary64) a)))))
(* -1 (* (sqrt (/ b_2 a)) (* (sqrt -1) (sqrt 2))))
(.f64 (.f64 (sqrt.f64 (/.f64 b_2 a)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* b_2 (+ (* 1/4 (* (sqrt (/ a (pow b_2 5))) (/ (* c (sqrt -1)) (sqrt 2)))) (* (sqrt (/ 1 (* a b_2))) (* (sqrt -1) (sqrt 2))))))
(.f64 (neg.f64 b_2) (fma.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 a (pow.f64 b_2 #s(literal 5 binary64))))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) c) (sqrt.f64 #s(literal 2 binary64))) (.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) b_2)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(* -1 (* b_2 (+ (* -1 (/ (+ (* -1/4 (* (sqrt (* a b_2)) (/ (* c (sqrt -1)) (sqrt 2)))) (* -1/16 (* (sqrt (/ (pow a 3) (pow b_2 3))) (/ (* (pow c 2) (sqrt -1)) (sqrt 2))))) (pow b_2 3))) (* (sqrt (/ 1 (* a b_2))) (* (sqrt -1) (sqrt 2))))))
(.f64 (neg.f64 b_2) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) b_2)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (.f64 a b_2))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) c) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 c c)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 3 binary64))))) #s(literal -1/16 binary64))) (neg.f64 (pow.f64 b_2 #s(literal 3 binary64))))))
(* -1 (* b_2 (+ (* -1 (/ (+ (* -1/4 (* (sqrt (* a b_2)) (/ (* c (sqrt -1)) (sqrt 2)))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow b_2 3))) (/ (* (pow c 2) (sqrt -1)) (sqrt 2)))) (* 1/32 (* (sqrt (/ (pow a 3) (pow b_2 3))) (/ (* (pow c 2) (sqrt -1)) (pow (sqrt 2) 3)))))) (pow b_2 3))) (* (sqrt (/ 1 (* a b_2))) (* (sqrt -1) (sqrt 2))))))
(.f64 (neg.f64 b_2) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) b_2)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (.f64 a b_2))) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) c) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 c c)) (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 3 binary64))))) #s(literal 1/32 binary64) (.f64 (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 c c)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 3 binary64))))) #s(literal -1/16 binary64)))) (neg.f64 (pow.f64 b_2 #s(literal 3 binary64))))))
(* -2 (/ b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(.f64 (neg.f64 b_2) (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c b_2) (fma.f64 (/.f64 (.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal 2 binary64) a))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(.f64 (neg.f64 b_2) (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c b_2) (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (/.f64 #s(literal 2 binary64) a)))))
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(.f64 (neg.f64 b_2) (fma.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 2 binary64)))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(.f64 (neg.f64 b_2) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 a a) (.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (.f64 (/.f64 #s(literal -1/2 binary64) b_2) (.f64 a (/.f64 c b_2)))) #s(literal 2 binary64)))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(.f64 (neg.f64 b_2) (+.f64 (fma.f64 (.f64 (/.f64 a b_2) (/.f64 c b_2)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/16 binary64) (.f64 (/.f64 (.f64 (.f64 a a) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64)))) #s(literal 2 binary64)))
(* -2 (/ b_2 c))
(*.f64 (/.f64 b_2 c) #s(literal -2 binary64))
(* -2 (/ b_2 c))
(*.f64 (/.f64 b_2 c) #s(literal -2 binary64))
(* -2 (/ b_2 c))
(*.f64 (/.f64 b_2 c) #s(literal -2 binary64))
(* -2 (/ b_2 c))
(*.f64 (/.f64 b_2 c) #s(literal -2 binary64))
(/ a (pow b_2 2))
(/.f64 a (*.f64 b_2 b_2))
(/ a (pow b_2 2))
(/.f64 a (*.f64 b_2 b_2))
(/ a (pow b_2 2))
(/.f64 a (*.f64 b_2 b_2))
(/ a (pow b_2 2))
(/.f64 a (*.f64 b_2 b_2))

rewrite220.0ms (2.4%)

Memory

-7.0MiB live, 348.8MiB allocated

Rules

4 628×	`lower-*.f32`
4 616×	`lower-*.f64`
4 446×	`lower-/.f32`
4 426×	`lower-/.f64`
2 974×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	436
0	76	383
1	309	326
2	2202	326
0	8806	326

Stop Event

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

Counts

21 → 718

Calls

Call 1

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

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

eval561.0ms (6.2%)

Memory: -16.3MiB live, 497.9MiB allocated
Compiler: Compiled 42 618 to 5 139 computations (87.9% saved)

prune230.0ms (2.5%)

Memory

-12.8MiB live, 499.1MiB allocated

Pruning

39 alts after pruning (33 fresh and 6 done)

	Pruned	Kept	Total
New	1 650	15	1 665
Fresh	3	18	21
Picked	4	1	5
Done	0	5	5
Total	1 657	39	1 696

Accuracy

93.6%

Counts

1 696 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.7%	(pow.f64 (/.f64 (sqrt.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (sqrt.f64 a)) #s(literal 2 binary64))
	18.0%	(pow.f64 #s(approx (pow (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) 1/2) (neg.f64 (pow.f64 (/.f64 (neg.f64 c) a) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
	27.8%	(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (.f64 b_2 b_2))) a (.f64 (neg.f64 a) b_2)) (*.f64 a a))
	18.3%	(/.f64 (/.f64 (fma.f64 (.f64 (neg.f64 b_2) b_2) (sqrt.f64 (fma.f64 (.f64 c a) (fma.f64 c a (.f64 b_2 b_2)) (pow.f64 b_2 #s(literal 4 binary64)))) (.f64 (+.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))))) (.f64 (+.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 (.f64 c a) (fma.f64 c a (.f64 b_2 b_2)) (pow.f64 b_2 #s(literal 4 binary64)))))) a)
	26.5%	(/.f64 (/.f64 (-.f64 (fma.f64 c (neg.f64 a) (.f64 b_2 b_2)) (.f64 b_2 b_2)) (+.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2)) a)
	27.0%	(/.f64 (/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (.f64 a c)) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) a)
	22.8%	(/.f64 (-.f64 (fma.f64 c (neg.f64 a) (.f64 b_2 b_2)) (.f64 b_2 b_2)) (.f64 a (+.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (.f64 b_2 b_2))) b_2)))
	23.9%	(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))))
	29.6%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) a) (.f64 (/.f64 a (sqrt.f64 (fma.f64 c (neg.f64 a) (.f64 b_2 b_2)))) b_2)) (.f64 (/.f64 a (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)))) a))
	19.8%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 a)) (.f64 (neg.f64 a) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)))) (.f64 a a))
✓	46.1%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) a)
	27.8%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) a)
	10.9%	(/.f64 (-.f64 #s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) (fma.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64) b_2)) b_2) a)
	26.5%	(/.f64 (.f64 (-.f64 (fma.f64 c (neg.f64 a) (.f64 b_2 b_2)) (.f64 b_2 b_2)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (.f64 b_2 b_2))) b_2) #s(literal -1 binary64))) a)
	26.6%	(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (pow.f64 a #s(literal -1 binary64))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))
	32.0%	(/.f64 #s(approx (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (.f64 (fma.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 2 binary64)) (neg.f64 b_2))) a)
✓	32.2%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
	18.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (.f64 (neg.f64 (exp.f64 (.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) #s(literal 1 binary64)))) (neg.f64 a))) (.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))))
	18.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (neg.f64 a))) (.f64 (neg.f64 (exp.f64 (.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) #s(literal 1 binary64)))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))))
	20.1%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (* 0 (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) #s(literal 0 binary64)) (.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (neg.f64 a))) (.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))))
	27.8%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2)))
✓	32.1%	(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
	32.0%	(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #s(literal -1 binary64)) a))
	39.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 b_2 (/.f64 #s(literal -2 binary64) c)))))
	13.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/.f64 (.f64 (fma.f64 (pow.f64 (.f64 b_2 (/.f64 b_2 a)) #s(literal -3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) c) #s(literal 3 binary64))) b_2) (fma.f64 (pow.f64 (.f64 b_2 (/.f64 b_2 a)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal -2 binary64) c) (-.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (/.f64 (/.f64 a b_2) b_2) #s(literal 1/2 binary64))))))))
	39.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (*.f64 (fma.f64 (/.f64 (/.f64 a b_2) b_2) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2)))
	39.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (.f64 #s(approx (+ ( (/ a (* b_2 b_2)) 1/2) (/ -2 c)) (/.f64 #s(literal -2 binary64) c)) b_2)))
	2.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) #s(approx (+ (* (/ a b_2) 1/2) (* (/ b_2 c) -2)) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64)))))
✓	45.1%	(-.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) a) (/.f64 b_2 a))
✓	8.7%	(-.f64 #s(approx (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/.f64 b_2 a)) (/.f64 b_2 a))
	32.1%	(.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #s(literal -1 binary64)) #s(literal -1 binary64)))
	20.0%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a)) (neg.f64 (pow.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #s(literal 2 binary64))))
	27.8%	(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) #s(literal -1 binary64)))
	15.7%	(.f64 (sqrt.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a)) (sqrt.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)))
	17.0%	(fabs.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a))
	14.9%	(exp.f64 (log.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)))
	25.6%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 (.f64 c a) b_2) (.f64 #s(literal 1/2 binary64) c)) (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 c c) a) b_2) b_2) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 c c))))) b_2))
✓	39.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
	31.9%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))

Compiler

Compiled 1 897 to 820 computations (56.8% saved)

regimes84.0ms (0.9%)

Memory

6.3MiB live, 146.9MiB allocated

Counts

66 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
(fabs.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a))
(-.f64 #s(approx (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/.f64 b_2 a)) (/.f64 b_2 a))
(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) #s(approx (+ (* (/ a b_2) 1/2) (* (/ b_2 c) -2)) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (.f64 #s(approx (+ ( (/ a (* b_2 b_2)) 1/2) (/ -2 c)) (/.f64 #s(literal -2 binary64) c)) b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
(/.f64 (-.f64 #s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) (fma.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64) b_2)) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 c b_2) b_2))) a)
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 a)) (.f64 (neg.f64 a) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)))) (.f64 a a))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2)))
(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 b_2 (/.f64 #s(literal -2 binary64) c)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) #s(literal -1 binary64)))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) a) (/.f64 b_2 a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* c -1/2)) (.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)) c)) b_2))
(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (.f64 (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2)))
(/.f64 (/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (.f64 a c)) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 b_2) (fma.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 2 binary64)))) a)
(/.f64 #s(approx (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (.f64 (fma.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 2 binary64)) (neg.f64 b_2))) a)
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (.f64 b_2 b_2))) a (.f64 (neg.f64 a) b_2)) (*.f64 a a))
(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (*.f64 c #s(literal -1/2 binary64))) b_2))
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (fma.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 1 binary64)) b_2))) a)
(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (*.f64 (fma.f64 (/.f64 (/.f64 a b_2) b_2) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (* 0 (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) #s(literal 0 binary64)) (.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (neg.f64 a))) (.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))))
(.f64 (sqrt.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a)) (sqrt.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)))
(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) a)
(/.f64 (-.f64 (fma.f64 c (neg.f64 a) (.f64 b_2 b_2)) (.f64 b_2 b_2)) (.f64 a (+.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (.f64 b_2 b_2))) b_2)))
(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (neg.f64 a))) (.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2)))) a)
(/.f64 (/.f64 (-.f64 (fma.f64 c (neg.f64 a) (.f64 b_2 b_2)) (.f64 b_2 b_2)) (+.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2)) a)
(/.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) (.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) (neg.f64 b_2))) a)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) a) (.f64 (/.f64 a (sqrt.f64 (fma.f64 c (neg.f64 a) (.f64 b_2 b_2)))) b_2)) (.f64 (/.f64 a (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)))) a))
(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #s(literal -1 binary64)) a))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a)) (neg.f64 (pow.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #s(literal 2 binary64))))
(pow.f64 (/.f64 (sqrt.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (sqrt.f64 a)) #s(literal 2 binary64))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64))))) a)
(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (pow.f64 a #s(literal -1 binary64))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))
(/.f64 (.f64 (-.f64 (fma.f64 c (neg.f64 a) (.f64 b_2 b_2)) (.f64 b_2 b_2)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (.f64 b_2 b_2))) b_2) #s(literal -1 binary64))) a)
(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) (pow.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)))) #s(literal -1 binary64))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 b_2) (/.f64 (.f64 b_2 b_2) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 c c) a) b_2) b_2) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 c c))) (.f64 b_2 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 (.f64 c a) b_2) (*.f64 #s(literal 1/2 binary64) c)))))
(exp.f64 (log.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)))
(pow.f64 #s(approx (pow (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) 1/2) (neg.f64 (pow.f64 (/.f64 (neg.f64 c) a) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #s(literal 1/2 binary64)) #s(literal 2 binary64))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 (.f64 c a) b_2) (.f64 #s(literal 1/2 binary64) c)) (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 (/.f64 (/.f64 (.f64 (.f64 c c) a) b_2) b_2) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (.f64 c c))))) b_2))
(exp.f64 (.f64 (log.f64 (/.f64 a (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2))) #s(literal -1 binary64)))
(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))))))) a)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (neg.f64 a))) (.f64 (neg.f64 (exp.f64 (.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) #s(literal 1 binary64)))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (.f64 (neg.f64 (exp.f64 (.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) #s(literal 1 binary64)))) (neg.f64 a))) (.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))))
(.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (.f64 b_2 b_2))) (.f64 (fma.f64 c a (.f64 b_2 b_2)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64))))) a)
(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/.f64 (.f64 (fma.f64 (pow.f64 (.f64 b_2 (/.f64 b_2 a)) #s(literal -3 binary64)) #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) c) #s(literal 3 binary64))) b_2) (fma.f64 (pow.f64 (.f64 b_2 (/.f64 b_2 a)) #s(literal -2 binary64)) #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal -2 binary64) c) (-.f64 (/.f64 #s(literal -2 binary64) c) (*.f64 (/.f64 (/.f64 a b_2) b_2) #s(literal 1/2 binary64))))))))
(/.f64 (/.f64 (fma.f64 (.f64 (neg.f64 b_2) b_2) (sqrt.f64 (fma.f64 (.f64 c a) (fma.f64 c a (.f64 b_2 b_2)) (pow.f64 b_2 #s(literal 4 binary64)))) (.f64 (+.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))))) (.f64 (+.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (fma.f64 (.f64 c a) (fma.f64 c a (.f64 b_2 b_2)) (pow.f64 b_2 #s(literal 4 binary64)))))) a)

Outputs

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

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

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

Calls

4 calls:

21.0ms	a
20.0ms	c
20.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
18.0ms	b_2

Results

Accuracy	Segments	Branch
49.7%	2	`a`
83.2%	3	`b_2`
46.1%	1	`c`
75.5%	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes10.0ms (0.1%)

Memory

-26.8MiB live, 12.2MiB allocated

Counts

25 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
(fabs.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a))
(-.f64 #s(approx (/ (sqrt (+ (* (neg a) c) (* b_2 b_2))) a) (/.f64 b_2 a)) (/.f64 b_2 a))
(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) #s(approx (+ (* (/ a b_2) 1/2) (* (/ b_2 c) -2)) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (.f64 #s(approx (+ ( (/ a (* b_2 b_2)) 1/2) (/ -2 c)) (/.f64 #s(literal -2 binary64) c)) b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
(/.f64 (-.f64 #s(approx (sqrt (+ (* (neg a) c) (* b_2 b_2))) (fma.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64) b_2)) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (/.f64 c b_2) b_2))) a)
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 a)) (.f64 (neg.f64 a) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)))) (.f64 a a))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2)))
(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 b_2 (/.f64 #s(literal -2 binary64) c)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) #s(literal -1 binary64)))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) a) (/.f64 b_2 a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* c -1/2)) (.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)) c)) b_2))
(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (.f64 (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2)))
(/.f64 (/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (.f64 a c)) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) a)

Outputs

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

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

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

Calls

1 calls:

8.0ms

b_2

Results

Accuracy	Segments	Branch
83.2%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

7.0ms

b_2

Results

Accuracy	Segments	Branch
83.2%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

18 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

b_2

Results

Accuracy	Segments	Branch
83.2%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

-31.6MiB live, 7.9MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

5.0ms

b_2

Results

Accuracy	Segments	Branch
79.5%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
55.3%	3	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
68.9%	2	`b_2`

Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes5.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
39.3%	1	`c`
39.3%	1	`a`
39.3%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
39.3%	1	`b_2`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch41.0ms (0.5%)

Memory

12.9MiB live, 51.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	2.3804694074270857e-133	5.113971116350489e-131
21.0ms	-6.343397586705314e+115	-2.8184314387935806e+108

Samples

14.0ms	226×	0	valid
3.0ms	24×	1	valid
3.0ms	40×	0	invalid
1.0ms	6×	2	valid

Compiler

Compiled 475 to 409 computations (13.9% saved)

Precisions

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

ival-mult: 4.0ms (29.8% of total)

ival-div: 2.0ms (14.9% of total)

ival-sqrt: 2.0ms (14.9% of total)

adjust: 1.0ms (7.5% of total)

ival-add: 1.0ms (7.5% of total)

ival-sub: 1.0ms (7.5% of total)

ival-neg: 1.0ms (7.5% of total)

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

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

bsearch73.0ms (0.8%)

Memory

-30.6MiB live, 11.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.3804694074270857e-133	5.113971116350489e-131
71.0ms	-6.343397586705314e+115	-2.8184314387935806e+108

Samples

67.0ms	64×	0	valid
0.0ms	2×	0	invalid

Compiler

Compiled 385 to 355 computations (7.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 1.0ms (37.9% of total)

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

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

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

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

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

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

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

bsearch2.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.3804694074270857e-133	5.113971116350489e-131
1.0ms	-6.343397586705314e+115	-2.8184314387935806e+108

Compiler

Compiled 353 to 339 computations (4% saved)

bsearch24.0ms (0.3%)

Memory

-6.8MiB live, 32.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	4.730091427929413e-138	2.3804694074270857e-133
1.0ms	-6.343397586705314e+115	-2.8184314387935806e+108

Samples

6.0ms	95×	0	valid
3.0ms	27×	1	valid
3.0ms	44×	0	invalid
1.0ms	6×	2	valid

Compiler

Compiled 322 to 322 computations (0% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 2.0ms (23.9% of total)

adjust: 1.0ms (12% of total)

ival-div: 1.0ms (12% of total)

ival-add: 1.0ms (12% of total)

ival-sqrt: 1.0ms (12% of total)

ival-sub: 1.0ms (12% of total)

ival-neg: 1.0ms (12% of total)

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

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

bsearch21.0ms (0.2%)

Memory

21.2MiB live, 21.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.730091427929413e-138	2.3804694074270857e-133
18.0ms	-1.121899682959244e-92	-1.6453588491444953e-97

Samples

9.0ms	144×	0	valid
2.0ms	36×	0	invalid

Compiler

Compiled 288 to 322 computations (-11.8% saved)

Precisions

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

ival-mult: 2.0ms (27.9% of total)

ival-sub: 1.0ms (14% of total)

ival-div: 1.0ms (14% of total)

ival-add: 1.0ms (14% of total)

ival-sqrt: 1.0ms (14% of total)

ival-neg: 1.0ms (14% of total)

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

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

bsearch29.0ms (0.3%)

Memory

-11.7MiB live, 26.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	3.518504629856269e-266	3.744517969063982e-255

Samples

10.0ms	154×	0	valid
8.0ms	65×	0	invalid
1.0ms	6×	1	valid

Compiler

Compiled 136 to 176 computations (-29.4% saved)

Precisions

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

ival-div: 5.0ms (37.9% of total)

ival-mult: 3.0ms (22.8% of total)

ival-add: 1.0ms (7.6% of total)

ival-sub: 1.0ms (7.6% of total)

ival-sqrt: 1.0ms (7.6% of total)

ival-neg: 1.0ms (7.6% of total)

adjust: 0.0ms (0% of total)

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

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

simplify27.0ms (0.3%)

Memory

5.1MiB live, 44.0MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`-commutative-binary64-.f64`
20×	`+-commutative-binary64-+.f64`
20×	`sub-neg-binary64-neg.f64-+.f64--.f64`
14×	`neg-sub0-binary64--.f64-neg.f64`
14×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	379
1	92	379
2	115	379
3	131	379
4	138	379
5	140	379

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -154999999999999995576550985120448405097501756780197755443659968425490372250003988974969612938782594316333295337472 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 b_2) (fma.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 2 binary64)))) a) (if (<=.f64 b_2 #s(literal 2797086701083129/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (-.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) (/.f64 b_2 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))))))
(if (<=.f64 b_2 #s(literal -289999999999999984006755132704647686045570025879407515491270053701075205046179718853536395581214479605663786860544 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 2797086701083129/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (-.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) (/.f64 b_2 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))))))
(if (<=.f64 b_2 #s(literal -289999999999999984006755132704647686045570025879407515491270053701075205046179718853536395581214479605663786860544 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 2797086701083129/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) a) (/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))))))
(if (<=.f64 b_2 #s(literal -289999999999999984006755132704647686045570025879407515491270053701075205046179718853536395581214479605663786860544 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 1470468437140845/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -8266869891363893/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 1470468437140845/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal 2613896909433603/72608247484266751113186645417475613287659189534150120071082610318161164900410369802010171606257634306142515810068016262229227795192622349013224149467890362587059123068723626657357734855190319183117148231560128769827526792328021488679545846696711820459572514914753120743347917422592 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))

Outputs
(if (<=.f64 b_2 #s(literal -154999999999999995576550985120448405097501756780197755443659968425490372250003988974969612938782594316333295337472 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (neg.f64 b_2) (fma.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 2 binary64)))) a) (if (<=.f64 b_2 #s(literal 2797086701083129/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (-.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) (/.f64 b_2 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))))))
(if (<=.f64 b_2 #s(literal -154999999999999995576550985120448405097501756780197755443659968425490372250003988974969612938782594316333295337472 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) (/.f64 c b_2) #s(literal 2 binary64)) (neg.f64 b_2))) a) (if (<=.f64 b_2 #s(literal 2797086701083129/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (-.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) (/.f64 b_2 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 c)))))))
(if (<=.f64 b_2 #s(literal -289999999999999984006755132704647686045570025879407515491270053701075205046179718853536395581214479605663786860544 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 2797086701083129/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (-.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) (/.f64 b_2 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))))))
(if (<=.f64 b_2 #s(literal -289999999999999984006755132704647686045570025879407515491270053701075205046179718853536395581214479605663786860544 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 2797086701083129/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (-.f64 (/.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a) (/.f64 b_2 a)) (/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 c)))))))
(if (<=.f64 b_2 #s(literal -289999999999999984006755132704647686045570025879407515491270053701075205046179718853536395581214479605663786860544 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 2797086701083129/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) a) (/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))))))
(if (<=.f64 b_2 #s(literal -289999999999999984006755132704647686045570025879407515491270053701075205046179718853536395581214479605663786860544 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 2797086701083129/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) a) (/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 c)))))))
(if (<=.f64 b_2 #s(literal -289999999999999984006755132704647686045570025879407515491270053701075205046179718853536395581214479605663786860544 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 1470468437140845/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -8266869891363893/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 1470468437140845/6393341031047152089869511126616404594173128996177860916959553453312761321102879990006386899074031556935325554936640763689877454191182408307282280448 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal 2613896909433603/72608247484266751113186645417475613287659189534150120071082610318161164900410369802010171606257634306142515810068016262229227795192622349013224149467890362587059123068723626657357734855190319183117148231560128769827526792328021488679545846696711820459572514914753120743347917422592 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))

soundness1.0s (11.4%)

Memory

19.4MiB live, 626.8MiB allocated

Rules

11 022×	`lower-fma.f64`
11 022×	`lower-fma.f32`
8 456×	`lower-fma.f64`
8 456×	`lower-fma.f32`
7 962×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	312
0	76	312
1	275	244
2	2025	244
0	8424	244
0	508	3200
1	1606	3160
2	5523	3144
0	8787	3008
0	1284	15358
1	4353	14970
0	9186	14345
0	1091	13893
1	3590	13023
0	8257	12522
0	10	41
0	17	41
1	64	39
2	463	38
3	5888	38
0	8611	34

Stop Event

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

Compiler

Compiled 600 to 304 computations (49.3% saved)

preprocess164.0ms (1.8%)

Memory: -28.6MiB live, 167.5MiB allocated
Compiler: Compiled 634 to 196 computations (69.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

start0.0ms (0%)

analyze150.0ms (1.7%)

sample1.3s (14.9%)

explain201.0ms (2.2%)

preprocess116.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify26.0ms (0.3%)

localize77.0ms (0.9%)

series28.0ms (0.3%)

simplify188.0ms (2.1%)

rewrite188.0ms (2.1%)

eval487.0ms (5.4%)

prune139.0ms (1.5%)

simplify157.0ms (1.7%)

localize142.0ms (1.6%)

series95.0ms (1.1%)

simplify236.0ms (2.6%)

rewrite179.0ms (2%)

eval209.0ms (2.3%)

prune165.0ms (1.8%)

simplify136.0ms (1.5%)

localize271.0ms (3%)

series125.0ms (1.4%)

simplify359.0ms (4%)

rewrite271.0ms (3%)

eval256.0ms (2.8%)

prune264.0ms (2.9%)

simplify139.0ms (1.5%)

localize170.0ms (1.9%)

series114.0ms (1.3%)

simplify239.0ms (2.7%)

rewrite220.0ms (2.4%)

eval561.0ms (6.2%)

prune230.0ms (2.5%)

regimes84.0ms (0.9%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch41.0ms (0.5%)

bsearch73.0ms (0.8%)

bsearch2.0ms (0%)

bsearch24.0ms (0.3%)

bsearch21.0ms (0.2%)

bsearch29.0ms (0.3%)

simplify27.0ms (0.3%)

soundness1.0s (11.4%)

preprocess164.0ms (1.8%)

end0.0ms (0%)

Profiling

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