Metrics for quad2m (problem 3.2.1, negative)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze148.0ms (2.1%)

Memory

-5.0MiB live, 191.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 12 computations (20% saved)

sample1.8s (25.5%)

Memory

-0.2MiB live, 1 913.6MiB allocated

Samples

454.0ms	5 620×	0	valid
204.0ms	1 177×	2	valid
195.0ms	1 285×	1	valid
141.0ms	1 089×	0	invalid
40.0ms	174×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 700.0ms

ival-sub: 168.0ms (24% of total)

ival-mult: 155.0ms (22.2% of total)

ival-sqrt: 107.0ms (15.3% of total)

adjust: 95.0ms (13.6% of total)

ival-div: 92.0ms (13.2% of total)

ival-neg: 71.0ms (10.1% of total)

ival-true: 6.0ms (0.9% of total)

ival-assert: 4.0ms (0.6% of total)

Bogosity

explain156.0ms (2.2%)

Memory

9.5MiB live, 243.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
113	-	2	(4.1949616725579996e-215 -1.915778270155119e-265 -1.80577690253382e-102)	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
46	-	0	-	`(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
18	-	1	(-5.79128235409739e-218 -1.3133526984563728e-175 1.2519248507371881e-275)	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
4	-	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	106	0
↳	`(*.f64 b_2 b_2)`	overflow	93
↳	`(*.f64 a c)`	overflow	24
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	overflow	106
`-.f64`	`(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	cancellation	46	0
`/.f64`	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`	u/n	17	0
↳	`(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	underflow	32
↳	`(*.f64 b_2 b_2)`	underflow	37
↳	`(*.f64 a c)`	underflow	43
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	5
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	uflow-rescue	5	0
↳	`(*.f64 b_2 b_2)`	underflow	37
↳	`(*.f64 a c)`	underflow	43
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	5
`-.f64`	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	nan-rescue	4	0
↳	`(*.f64 b_2 b_2)`	overflow	93
↳	`(*.f64 a c)`	overflow	24

Confusion

	Predicted +	Predicted -
+	132	2
-	20	102

Precision

0.868421052631579

Recall

0.9850746268656716

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	132	0	2
-	20	0	102

Precision?

0.868421052631579

Recall?

0.9850746268656716

Freqs

test

number	freq
0	104
1	127
2	24
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

31.0ms	362×	0	valid
15.0ms	74×	2	valid
8.0ms	56×	1	valid
5.0ms	20×	3	valid

Compiler

Compiled 117 to 34 computations (70.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-sqrt: 9.0ms (24.7% of total)

ival-mult: 8.0ms (21.9% of total)

ival-sub: 7.0ms (19.2% of total)

ival-div: 5.0ms (13.7% of total)

adjust: 4.0ms (11% of total)

ival-neg: 2.0ms (5.5% of total)

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

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

preprocess113.0ms (1.6%)

Memory

0.2MiB live, 85.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	118
1	142	118
2	354	113
3	1075	113
4	2452	113
5	3228	113
6	3298	113
7	3420	113
8	3512	113
9	3512	113
10	3512	113
0	10	13
0	17	13
1	32	13
2	59	13
3	121	13
4	200	13
5	353	13
6	594	13
7	708	13
8	769	13
9	785	13
10	786	13
0	786	13

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.5%	(/.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)

simplify203.0ms (2.9%)

Memory

-7.8MiB live, 30.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	50
0	17	50
1	32	50
2	59	50
3	121	50
4	200	50
5	353	50
6	594	50
7	708	50
8	769	50
9	785	50
10	786	50
0	786	50

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

localize36.0ms (0.5%)

Memory

17.9MiB live, 55.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.8007812500000001	(-.f64 (.f64 b_2 b_2) (.f64 a c))
accuracy	3.9910414701075863	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
accuracy	10.08256722500014	(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
accuracy	26.06679547399404	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Samples

13.0ms	181×	0	valid
7.0ms	37×	2	valid
4.0ms	10×	3	valid
4.0ms	28×	1	valid

Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions

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

ival-sub: 5.0ms (28% of total)

ival-mult: 4.0ms (22.4% of total)

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

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

adjust: 2.0ms (11.2% of total)

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

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

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

series28.0ms (0.4%)

Memory

-13.1MiB live, 24.6MiB allocated

Counts

5 → 156

Calls

Call 1

Inputs
#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 (-.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 (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 (* -2 (/ b_2 a)) (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 (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) (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 (/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a) (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 (/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a) (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 (* -2 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 (- (* 1/2 (/ (* a c) b_2)) (* 2 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 (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 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 (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2)) (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 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 (* -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 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (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)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))) (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 (-.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 (* 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>) () ())) ())
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#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 (* (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 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) 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>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#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 (* -2 (/ b_2 a)) (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 (+ (* -2 (/ b_2 a)) (* 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 (+ (* -2 (/ b_2 a)) (* 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 (+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2))))) (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 (* -2 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 (- (* 1/2 (/ (* a c) b_2)) (* 2 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 (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 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 (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2)) (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 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 (* -1 (* (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 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c))))) (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 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1))))))) (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 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))) (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 (* -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 (* 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 (* 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 (* (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 (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c))))) (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 (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c))))) (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 (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c))))) (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>) () ())) ())
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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 (-.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
8.0ms	b_2	@	0	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
3.0ms	c	@	-inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
3.0ms	a	@	inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (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)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (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)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))

simplify162.0ms (2.3%)

Memory

32.3MiB live, 175.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	528	3105
1	1657	3067
2	5512	3045
0	8289	2913

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 153

Calls

Call 1

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

rewrite163.0ms (2.3%)

Memory

-8.5MiB live, 119.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	41
0	17	41
1	68	41
2	503	38
3	6607	38
0	8430	38

Stop Event

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

Counts

5 → 440

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

Outputs
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eval136.0ms (1.9%)

Memory: 10.9MiB live, 167.9MiB allocated
Compiler: Compiled 17 104 to 2 072 computations (87.9% saved)

prune33.0ms (0.5%)

Memory

8.2MiB live, 89.6MiB allocated

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	574	19	593
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	574	20	594

Accuracy

92.4%

Counts

594 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.7%	(fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (/.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) a))
	24.5%	(fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) (/.f64 #s(literal -1 binary64) a) (/.f64 b_2 a))
▶	20.8%	(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a))
	24.6%	(/.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2))
	17.6%	(/.f64 (-.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) (.f64 (/.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) a) (/.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) a))) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2) a))
▶	14.9%	(/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) (.f64 a a))
	24.5%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) a)
✓	50.5%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
▶	34.9%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #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))) (.f64 (fma.f64 (.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) (/.f64 c b_2) #s(literal -1 binary64)) b_2))) a)
	13.7%	(/.f64 (-.f64 a (.f64 (/.f64 a b_2) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (*.f64 (/.f64 a b_2) a))
	22.3%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) c (.f64 (.f64 (.f64 a a) #s(literal 1/8 binary64)) (*.f64 c (/.f64 (/.f64 c b_2) b_2)))) (neg.f64 b_2))) a)
	23.5%	(/.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)
▶	38.3%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
	24.5%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
	24.5%	(.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2))
	38.2%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
	30.3%	#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))) (neg.f64 b_2)))
▶	32.2%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))

Compiler

Compiled 649 to 442 computations (31.9% saved)

simplify144.0ms (2.1%)

Memory

9.7MiB live, 185.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2) a)
cost-diff	0	(*.f64 b_2 b_2)
cost-diff	0	(fma.f64 c a (*.f64 b_2 b_2))
cost-diff	64	(fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))
cost-diff	0	(.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)
cost-diff	0	(*.f64 a b_2)
cost-diff	320	(-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a))
cost-diff	640	(/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) (.f64 a a))
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 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
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	0	(/.f64 c b_2)
cost-diff	0	(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
cost-diff	0	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
cost-diff	0	(*.f64 b_2 #s(literal -2 binary64))
cost-diff	0	#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))
cost-diff	0	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	293
0	62	293
1	111	289
2	209	287
3	428	285
4	745	285
5	1626	285
6	5009	285
0	8061	283

Stop Event

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

Calls

Call 1

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

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

localize118.0ms (1.7%)

Memory

-31.3MiB live, 267.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0625	(.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2) a)
accuracy	0.49999449521112044	(fma.f64 c a (*.f64 b_2 b_2))
accuracy	4.703456414328112	(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
accuracy	7.417174412580155	(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a))
accuracy	0.39843750000000006	(-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a))
accuracy	0.49999449521112044	(fma.f64 c a (*.f64 b_2 b_2))
accuracy	4.703456414328112	(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
accuracy	10.670935078992649	(/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) (.f64 a a))
accuracy	0.0078125	(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
accuracy	0.0703125	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
accuracy	0.5175108367052298	#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))
accuracy	4.699545911219787	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
accuracy	0	(/.f64 c b_2)
accuracy	0	(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
accuracy	20.34582486388669	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
accuracy	0	(*.f64 b_2 #s(literal -2 binary64))
accuracy	0.0703125	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
accuracy	20.495664456277204	#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))

Samples

50.0ms	171×	0	invalid
30.0ms	85×	0	valid

Compiler

Compiled 277 to 32 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 26.0ms (50.8% of total)

ival-div: 9.0ms (17.6% of total)

ival-sqrt: 5.0ms (9.8% of total)

ival-sub: 4.0ms (7.8% of total)

ival-neg: 3.0ms (5.9% of total)

ival-add: 2.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

series84.0ms (1.2%)

Memory

24.2MiB live, 182.1MiB allocated

Counts

21 → 648

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	b_2	@	inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* b_2 -2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (/ c b_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)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (- (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a)) (* a a)) (- (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a)) (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a) (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (+ (* c a) (* b_2 b_2)) (* b_2 b_2) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a) (- (* b_2 b_2) (* a c)) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (/ (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a)))
7.0ms	c	@	inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* b_2 -2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (/ c b_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)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (- (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a)) (* a a)) (- (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a)) (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a) (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (+ (* c a) (* b_2 b_2)) (* b_2 b_2) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a) (- (* b_2 b_2) (* a c)) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (/ (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a)))
6.0ms	a	@	inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* b_2 -2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (/ c b_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)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (- (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a)) (* a a)) (- (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a)) (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a) (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (+ (* c a) (* b_2 b_2)) (* b_2 b_2) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a) (- (* b_2 b_2) (* a c)) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (/ (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a)))
6.0ms	c	@	0	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* b_2 -2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (/ c b_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)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (- (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a)) (* a a)) (- (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a)) (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a) (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (+ (* c a) (* b_2 b_2)) (* b_2 b_2) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a) (- (* b_2 b_2) (* a c)) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (/ (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a)))
6.0ms	c	@	-inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* b_2 -2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (/ c b_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)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (- (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a)) (* a a)) (- (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a)) (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a) (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (+ (* c a) (* b_2 b_2)) (* b_2 b_2) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a) (- (* b_2 b_2) (* a c)) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (/ (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a)))

simplify343.0ms (4.9%)

Memory

-6.5MiB live, 223.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1556	15368
1	5236	15022
0	8128	14480

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 645

Calls

Call 1

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

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

rewrite262.0ms (3.7%)

Memory

-21.2MiB live, 161.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	228
0	62	228
1	238	224
2	1710	224
0	8442	224

Stop Event

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

Counts

21 → 566

Calls

Call 1

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

Outputs
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eval290.0ms (4.1%)

Memory: 27.7MiB live, 259.4MiB allocated
Compiler: Compiled 43 588 to 4 298 computations (90.1% saved)

prune162.0ms (2.3%)

Memory

-19.3MiB live, 96.8MiB allocated

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	1 454	14	1 468
Fresh	5	9	14
Picked	2	3	5
Done	0	1	1
Total	1 461	27	1 488

Accuracy

92.4%

Counts

1 488 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.5%	(fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) (/.f64 #s(literal -1 binary64) a) (/.f64 b_2 a))
	24.6%	(/.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2))
	33.4%	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) a)
	17.6%	(/.f64 (-.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) (.f64 (/.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) a) (/.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) a))) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2) a))
▶	15.6%	(/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (.f64 c a)))) a)) (.f64 a a))
✓	50.5%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	34.9%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #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))) (.f64 (fma.f64 (.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) (/.f64 c b_2) #s(literal -1 binary64)) b_2))) a)
	10.5%	(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (neg.f64 b_2) (fma.f64 (.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 1 binary64))))) a)
	13.7%	(/.f64 (-.f64 a (.f64 (/.f64 a b_2) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (*.f64 (/.f64 a b_2) a))
	18.9%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (.f64 (/.f64 (.f64 a a) b_2) (/.f64 (.f64 c c) b_2)) #s(literal 1/8 binary64) (.f64 (*.f64 c a) #s(literal 1/2 binary64))) (neg.f64 b_2))) a)
▶	23.5%	(/.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)
✓	38.3%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
	24.3%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c a) b_2))) a)
	20.8%	(/.f64 #s(approx (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (.f64 c a)) (.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a))
	34.9%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))))
▶	38.2%	(/.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))))
	34.9%	(-.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) a))
	38.2%	(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #s(literal -1 binary64)))
	24.5%	(.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2))
	17.7%	(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)))
	38.2%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
▶	30.3%	#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))) (neg.f64 b_2)))
▶	32.1%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
	32.1%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2)))
✓	32.2%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))

Compiler

Compiled 748 to 564 computations (24.6% saved)

simplify136.0ms (1.9%)

Memory

24.0MiB live, 146.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	342
0	73	342
1	128	338
2	243	334
3	499	329
4	940	327
5	3037	327
6	6203	327
0	8623	318

Stop Event

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

Calls

Call 1

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

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

localize136.0ms (1.9%)

Memory

-10.5MiB live, 198.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.747603168753677	(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	1.9305732449760749	(.f64 (.f64 c c) a)
accuracy	2.4702335978179524	(/.f64 (.f64 (.f64 c c) a) b_2)
accuracy	20.70822925093686	#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))) (neg.f64 b_2)))
accuracy	0.39843750000000006	(-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))) a))
accuracy	0.5175108367051762	#s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))
accuracy	4.703456414328112	(sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))
accuracy	10.670935078992649	(/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (.f64 c a)))) a)) (.f64 a a))
accuracy	0	(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
accuracy	0.0703125	(/.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)
accuracy	0.7654775417895557	(.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
accuracy	20.325392656400794	#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))
accuracy	0	(/.f64 b_2 c)
accuracy	0.0546875	(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))
accuracy	20.34582486388669	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
accuracy	0	(*.f64 #s(literal -2 binary64) b_2)
accuracy	0.0625	(/.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	0.09765625	(/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))
accuracy	20.495664456277204	#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))

Samples

56.0ms	85×	0	valid
56.0ms	171×	0	invalid

Compiler

Compiled 270 to 42 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-mult: 51.0ms (63.4% of total)

ival-div: 18.0ms (22.4% of total)

ival-sub: 3.0ms (3.7% of total)

ival-sqrt: 3.0ms (3.7% of total)

ival-add: 2.0ms (2.5% of total)

ival-neg: 2.0ms (2.5% of total)

exact: 1.0ms (1.2% of total)

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

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

series73.0ms (1%)

Memory

-31.7MiB live, 126.4MiB allocated

Counts

23 → 720

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	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))))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ -1/2 (/ b_2 c)) (/ b_2 c) (/ (- (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) c) (* (/ a b_2) -1/2) (/ (- (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a)) (* a a)) (- (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a)) (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a) (+ (* (/ 1/8 b_2) (/ (* (* c c) a) b_2)) (* c 1/2)) (/ (+ (* (/ 1/8 b_2) (/ (* (* c c) a) b_2)) (* c 1/2)) (neg b_2)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ 1/8 b_2) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (+ (* c a) (* b_2 b_2)) (/ (* (* c c) a) b_2) (* (* c c) a))
6.0ms	c	@	-inf	((/ 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) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ -1/2 (/ b_2 c)) (/ b_2 c) (/ (- (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) c) (* (/ a b_2) -1/2) (/ (- (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a)) (* a a)) (- (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a)) (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a) (+ (* (/ 1/8 b_2) (/ (* (* c c) a) b_2)) (* c 1/2)) (/ (+ (* (/ 1/8 b_2) (/ (* (* c c) a) b_2)) (* c 1/2)) (neg b_2)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ 1/8 b_2) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (+ (* c a) (* b_2 b_2)) (/ (* (* c c) a) b_2) (* (* c c) a))
5.0ms	b_2	@	0	((/ 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) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ -1/2 (/ b_2 c)) (/ b_2 c) (/ (- (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) c) (* (/ a b_2) -1/2) (/ (- (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a)) (* a a)) (- (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a)) (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a) (+ (* (/ 1/8 b_2) (/ (* (* c c) a) b_2)) (* c 1/2)) (/ (+ (* (/ 1/8 b_2) (/ (* (* c c) a) b_2)) (* c 1/2)) (neg b_2)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ 1/8 b_2) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (+ (* c a) (* b_2 b_2)) (/ (* (* c c) a) b_2) (* (* c c) a))
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))))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ -1/2 (/ b_2 c)) (/ b_2 c) (/ (- (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) c) (* (/ a b_2) -1/2) (/ (- (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a)) (* a a)) (- (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a)) (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a) (+ (* (/ 1/8 b_2) (/ (* (* c c) a) b_2)) (* c 1/2)) (/ (+ (* (/ 1/8 b_2) (/ (* (* c c) a) b_2)) (* c 1/2)) (neg b_2)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ 1/8 b_2) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (+ (* c a) (* b_2 b_2)) (/ (* (* c c) a) b_2) (* (* c c) a))
4.0ms	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))))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ -1/2 (/ b_2 c)) (/ b_2 c) (/ (- (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) c) (* (/ a b_2) -1/2) (/ (- (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a)) (* a a)) (- (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a)) (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a) (+ (* (/ 1/8 b_2) (/ (* (* c c) a) b_2)) (* c 1/2)) (/ (+ (* (/ 1/8 b_2) (/ (* (* c c) a) b_2)) (* c 1/2)) (neg b_2)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ 1/8 b_2) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (+ (* c a) (* b_2 b_2)) (/ (* (* c c) a) b_2) (* (* c c) a))

simplify197.0ms (2.8%)

Memory

40.1MiB live, 315.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1258	13311
1	4132	13097
0	8240	12607

Stop Event

1×	iter limit
1×	node limit

Counts

720 → 720

Calls

Call 1

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

Outputs
(* -2 (/ b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/.f64 (fma.f64 (/.f64 (.f64 c a) b_2) #s(literal 1/2 binary64) (.f64 b_2 #s(literal -2 binary64))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/.f64 (fma.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (.f64 c c) a) #s(literal 1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 b_2 #s(literal -2 binary64))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1/8 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b_2 #s(literal 5 binary64)))) a (.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a (*.f64 b_2 #s(literal -2 binary64))) a)
(* -1/2 (/ a b_2))
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
(* a (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(.f64 (fma.f64 (.f64 a (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) b_2)) a)
(* a (- (* a (+ (* -1/8 (/ c (pow b_2 3))) (* -1/16 (/ (* a (pow c 2)) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (.f64 (/.f64 c (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64))) a (/.f64 #s(literal -1/2 binary64) b_2)) a)
(* a (- (* a (+ (* -1/8 (/ c (pow b_2 3))) (* a (+ (* -1/16 (/ (pow c 2) (pow b_2 5))) (* a (+ (* -1/32 (/ (pow c 3) (pow b_2 7))) (* -1/128 (/ (pow c 3) (pow b_2 7))))))))) (* 1/2 (/ 1 b_2))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 7 binary64))) #s(literal -5/128 binary64)) a (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 5 binary64)))) a (*.f64 (/.f64 c (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64))) a (/.f64 #s(literal -1/2 binary64) b_2)) a)
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(fma.f64 (/.f64 (.f64 c a) b_2) #s(literal 1/2 binary64) (.f64 b_2 #s(literal -2 binary64)))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(fma.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (.f64 c c) a) #s(literal 1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 b_2 #s(literal -2 binary64)))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1/8 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b_2 #s(literal 5 binary64)))) a (.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a (*.f64 b_2 #s(literal -2 binary64)))
(* -2 (/ b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/.f64 (fma.f64 (/.f64 (.f64 c a) b_2) #s(literal 1/2 binary64) (.f64 b_2 #s(literal -2 binary64))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/.f64 (fma.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (.f64 c c) a) #s(literal 1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 b_2 #s(literal -2 binary64))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1/8 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b_2 #s(literal 5 binary64)))) a (.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a (*.f64 b_2 #s(literal -2 binary64))) a)
(* -2 (/ b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/.f64 (fma.f64 (/.f64 (.f64 c a) b_2) #s(literal 1/2 binary64) (.f64 b_2 #s(literal -2 binary64))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/.f64 (fma.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (.f64 c c) a) #s(literal 1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 b_2 #s(literal -2 binary64))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
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(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(/.f64 (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))) (neg.f64 b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(/.f64 (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))) (neg.f64 b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(/.f64 (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))) (neg.f64 b_2))
(* -1/2 (/ c b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(/.f64 (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))) (neg.f64 b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/8 binary64) a) b_2) (/.f64 (.f64 c c) b_2) (*.f64 c #s(literal 1/2 binary64)))) (neg.f64 b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (.f64 #s(literal 1/8 binary64) a) b_2) (/.f64 (.f64 c c) b_2) (.f64 #s(literal 1/2 binary64) (+.f64 c (.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 #s(literal 5/64 binary64) a)))))) (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)
(* -1 (* b_2 (sqrt -1)))
(*.f64 (neg.f64 b_2) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(.f64 (fma.f64 (.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) (/.f64 a b_2)) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 b_2))
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 a a) (.f64 c c)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) c) a) b_2))) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 b_2))
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))
(.f64 (+.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 a a) (.f64 c c)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1/16 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) c) a) b_2)))) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 b_2))
(pow b_2 2)
(*.f64 b_2 b_2)
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(.f64 (fma.f64 (/.f64 a b_2) (/.f64 c b_2) #s(literal 1 binary64)) (.f64 b_2 b_2))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(.f64 (fma.f64 (/.f64 a b_2) (/.f64 c b_2) #s(literal 1 binary64)) (.f64 b_2 b_2))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(.f64 (fma.f64 (/.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)

rewrite164.0ms (2.3%)

Memory

1.3MiB live, 320.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	294
0	73	294
1	266	288
2	1774	288
0	8548	283

Stop Event

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

Counts

23 → 668

Calls

Call 1

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

Outputs
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eval193.0ms (2.8%)

Memory: -7.9MiB live, 457.3MiB allocated
Compiler: Compiled 32 334 to 3 936 computations (87.8% saved)

prune61.0ms (0.9%)

Memory

-13.9MiB live, 187.8MiB allocated

Pruning

35 alts after pruning (29 fresh and 6 done)

	Pruned	Kept	Total
New	1 373	15	1 388
Fresh	4	14	18
Picked	3	2	5
Done	0	4	4
Total	1 380	35	1 415

Accuracy

92.6%

Counts

1 415 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.5%	(fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) (/.f64 #s(literal -1 binary64) a) (/.f64 b_2 a))
	15.5%	(pow.f64 (.f64 (/.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(literal -1/2 binary64))
	24.6%	(/.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2))
	33.4%	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) a)
	17.6%	(/.f64 (-.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) (.f64 (/.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) a) (/.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) a))) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2) a))
✓	50.5%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	34.9%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #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))) (.f64 (fma.f64 (.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) (/.f64 c b_2) #s(literal -1 binary64)) b_2))) a)
	13.7%	(/.f64 (-.f64 a (.f64 (/.f64 a b_2) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (*.f64 (/.f64 a b_2) a))
	15.6%	(/.f64 (.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ ( c a) (* b_2 b_2)) (.f64 c a)))))) (.f64 a a))
	24.3%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2)) a)
	23.4%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
✓	38.3%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
▶	26.0%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 a (.f64 (pow.f64 b_2 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) c)))) a)
	20.8%	(/.f64 #s(approx (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (.f64 c a)) (.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a))
	34.9%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))))
✓	38.2%	(/.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))))
	17.8%	(/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (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 -1 binary64))))
	32.0%	(/.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)) (neg.f64 b_2))))
	34.9%	(-.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) a))
▶	38.2%	(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #s(literal -1 binary64)))
▶	24.5%	(.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2))
	17.7%	(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)))
	38.2%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
	32.0%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 c b_2) (/.f64 (.f64 c (/.f64 a b_2)) #s(literal 8 binary64)) (.f64 #s(literal 1/2 binary64) c)) (neg.f64 b_2)))
	32.1%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (/.f64 #s(literal -1/2 binary64) b_2) (pow.f64 c #s(literal -1 binary64))))
	10.5%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.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)) b_2) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.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)) b_2) (/.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)) b_2) (.f64 #s(literal 0 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)) b_2))))))
	31.8%	#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 (.f64 c a) b_2) #s(literal 1/2 binary64)) c)) (neg.f64 b_2)))
	31.7%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1 binary64) (/.f64 (neg.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)))))
	11.3%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 b_2) c) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (/.f64 #s(literal 0 binary64) (neg.f64 c)) (fma.f64 (/.f64 (neg.f64 b_2) c) (/.f64 (neg.f64 b_2) c) (*.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (/.f64 (neg.f64 b_2) c)))))))
✓	32.1%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
	32.1%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b_2))))
▶	32.1%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
✓	32.2%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))

Compiler

Compiled 1 092 to 750 computations (31.3% saved)

simplify89.0ms (1.3%)

Memory

7.8MiB live, 126.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 a (.f64 (pow.f64 b_2 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) c)))
cost-diff	0	#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 a (.f64 (pow.f64 b_2 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) c))))
cost-diff	0	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 a (.f64 (pow.f64 b_2 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) c)))) a)
cost-diff	6080	(.f64 (pow.f64 b_2 #s(literal -1 binary64)) (.f64 #s(literal -1/2 binary64) c))
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(-.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)))
cost-diff	0	(/.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)
cost-diff	896	(.f64 (fma.f64 (.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) (/.f64 c b_2) #s(literal -1 binary64)) b_2)
cost-diff	0	(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
cost-diff	0	(-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)
cost-diff	0	(/.f64 #s(literal -1 binary64) a)
cost-diff	320	(.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) b_2)
cost-diff	0	(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
cost-diff	0	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
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(literal -1 binary64) a)
cost-diff	448	(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #s(literal -1 binary64)))
cost-diff	576	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #s(literal -1 binary64))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	43	330
0	70	328
1	126	320
2	272	319
3	599	316
4	1285	303
5	3685	303
6	6183	303
0	8154	303

Stop Event

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

Calls

Call 1

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

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

localize104.0ms (1.5%)

Memory

9.7MiB live, 164.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.06640625	(.f64 (pow.f64 b_2 #s(literal -1 binary64)) (.f64 #s(literal -1/2 binary64) c))
accuracy	0.0703125	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 a (.f64 (pow.f64 b_2 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) c)))) a)
accuracy	1.6946398790413277	(.f64 a (.f64 (pow.f64 b_2 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) c)))
accuracy	20.325392656400794	#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 a (.f64 (pow.f64 b_2 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) c))))
accuracy	0.0703125	(/.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)
accuracy	0.9837378462893335	(fma.f64 (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) (/.f64 c b_2) #s(literal -1 binary64))
accuracy	3.8005313367869458	(.f64 (fma.f64 (.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) (/.f64 c b_2) #s(literal -1 binary64)) b_2)
accuracy	20.325380988331958	#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))
accuracy	0.00390625	(-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)
accuracy	0.109375	(.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2))
accuracy	0.49999449521112044	(fma.f64 c a (*.f64 b_2 b_2))
accuracy	4.703456414328112	(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
accuracy	0	(/.f64 #s(literal -1/2 binary64) b_2)
accuracy	0.06640625	(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
accuracy	20.34582486388669	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
accuracy	0	(/.f64 #s(literal -1 binary64) a)
accuracy	0	(*.f64 #s(literal -2 binary64) b_2)
accuracy	0.1171875	(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #s(literal -1 binary64)))
accuracy	20.495664456277204	#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))

Samples

54.0ms	171×	0	invalid
24.0ms	85×	0	valid

Compiler

Compiled 262 to 38 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 29.0ms (52.7% of total)

ival-div: 11.0ms (20% of total)

ival-pow: 4.0ms (7.3% of total)

ival-sub: 3.0ms (5.5% of total)

ival-sqrt: 3.0ms (5.5% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series76.0ms (1.1%)

Memory

-8.2MiB live, 85.2MiB allocated

Counts

22 → 672

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	c	@	-inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) -1) (* (/ -1 a) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) -1)) (/ -1 a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ -1/2 b_2) c) (/ -1/2 b_2) (* (/ -1 a) (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2)) (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (* (+ (* (* (/ a b_2) 1/2) (/ c b_2)) -1) b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (* (pow b_2 -1) (* -1/2 c)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* a (* (pow b_2 -1) (* -1/2 c))) (* -2 b_2) (+ (* c a) (* b_2 b_2)) (sqrt (- (* b_2 b_2) (* a c))) (+ (* (* (/ a b_2) 1/2) (/ c b_2)) -1))
3.0ms	b_2	@	-inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) -1) (* (/ -1 a) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) -1)) (/ -1 a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ -1/2 b_2) c) (/ -1/2 b_2) (* (/ -1 a) (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2)) (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (* (+ (* (* (/ a b_2) 1/2) (/ c b_2)) -1) b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (* (pow b_2 -1) (* -1/2 c)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* a (* (pow b_2 -1) (* -1/2 c))) (* -2 b_2) (+ (* c a) (* b_2 b_2)) (sqrt (- (* b_2 b_2) (* a c))) (+ (* (* (/ a b_2) 1/2) (/ c b_2)) -1))
3.0ms	b_2	@	inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) -1) (* (/ -1 a) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) -1)) (/ -1 a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ -1/2 b_2) c) (/ -1/2 b_2) (* (/ -1 a) (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2)) (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (* (+ (* (* (/ a b_2) 1/2) (/ c b_2)) -1) b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (* (pow b_2 -1) (* -1/2 c)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* a (* (pow b_2 -1) (* -1/2 c))) (* -2 b_2) (+ (* c a) (* b_2 b_2)) (sqrt (- (* b_2 b_2) (* a c))) (+ (* (* (/ a b_2) 1/2) (/ c b_2)) -1))
3.0ms	b_2	@	0	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) -1) (* (/ -1 a) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) -1)) (/ -1 a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ -1/2 b_2) c) (/ -1/2 b_2) (* (/ -1 a) (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2)) (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (* (+ (* (* (/ a b_2) 1/2) (/ c b_2)) -1) b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (* (pow b_2 -1) (* -1/2 c)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* a (* (pow b_2 -1) (* -1/2 c))) (* -2 b_2) (+ (* c a) (* b_2 b_2)) (sqrt (- (* b_2 b_2) (* a c))) (+ (* (* (/ a b_2) 1/2) (/ c b_2)) -1))
3.0ms	c	@	inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) -1) (* (/ -1 a) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) -1)) (/ -1 a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ -1/2 b_2) c) (/ -1/2 b_2) (* (/ -1 a) (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2)) (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (* (+ (* (* (/ a b_2) 1/2) (/ c b_2)) -1) b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (* (pow b_2 -1) (* -1/2 c)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* a (* (pow b_2 -1) (* -1/2 c))) (* -2 b_2) (+ (* c a) (* b_2 b_2)) (sqrt (- (* b_2 b_2) (* a c))) (+ (* (* (/ a b_2) 1/2) (/ c b_2)) -1))

simplify217.0ms (3.1%)

Memory

27.7MiB live, 216.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	951	12781
1	3109	12594
0	8382	12057

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 669

Calls

Call 1

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

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

rewrite161.0ms (2.3%)

Memory

-18.5MiB live, 175.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	279
0	70	271
1	252	267
2	1684	267
0	8381	267

Stop Event

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

Counts

22 → 802

Calls

Call 1

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

Outputs
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eval206.0ms (2.9%)

Memory: 10.7MiB live, 286.4MiB allocated
Compiler: Compiled 35 620 to 4 086 computations (88.5% saved)

prune61.0ms (0.9%)

Memory

-15.7MiB live, 111.5MiB allocated

Pruning

40 alts after pruning (33 fresh and 7 done)

	Pruned	Kept	Total
New	1 482	12	1 494
Fresh	3	21	24
Picked	4	1	5
Done	0	6	6
Total	1 489	40	1 529

Accuracy

92.6%

Counts

1 529 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.5%	(fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) (/.f64 #s(literal -1 binary64) a) (/.f64 b_2 a))
	24.6%	(/.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2))
	33.4%	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) a)
	17.6%	(/.f64 (-.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) (.f64 (/.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) a) (/.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) a))) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2) a))
✓	50.5%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	34.9%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #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)
	4.3%	(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(approx (* (+ (* (* (/ a b_2) 1/2) (/ c b_2)) -1) b_2) (*.f64 (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (/.f64 b_2 (neg.f64 c))) c)))) a)
	13.7%	(/.f64 (-.f64 a (.f64 (/.f64 a b_2) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (*.f64 (/.f64 a b_2) a))
	15.6%	(/.f64 (.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ ( c a) (* b_2 b_2)) (.f64 c a)))))) (.f64 a a))
	24.3%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2)) a)
	9.9%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (/.f64 #s(literal 1/2 binary64) b_2) (.f64 c a))) a)
	23.4%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
✓	38.3%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
	26.0%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 a (.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) b_2)))) a)
	20.8%	(/.f64 #s(approx (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (.f64 c a)) (.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a))
	34.9%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))))
✓	38.2%	(/.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))))
	17.8%	(/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (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 -1 binary64))))
	32.0%	(/.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)) (neg.f64 b_2))))
	38.2%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) a))
	34.9%	(-.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) a))
	2.7%	(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) b_2))) #s(literal -1 binary64)))
	25.4%	(.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 #s(approx (+ ( c a) (* b_2 b_2)) (*.f64 c a)))) b_2))
	34.9%	(.f64 (/.f64 #s(literal -1 binary64) a) (exp.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64))))
	10.0%	(.f64 (neg.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) a))) (/.f64 #s(literal -1 binary64) a))
	4.0%	(exp.f64 (.f64 (log.f64 (/.f64 a #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) a)))) #s(literal -1 binary64)))
	17.7%	(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)))
	38.2%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
	32.0%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 c b_2) (/.f64 (.f64 c (/.f64 a b_2)) #s(literal 8 binary64)) (.f64 #s(literal 1/2 binary64) c)) (neg.f64 b_2)))
	32.1%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (/.f64 #s(literal -1/2 binary64) b_2) (pow.f64 c #s(literal -1 binary64))))
	9.9%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2))
	31.8%	#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 (.f64 c a) b_2) #s(literal 1/2 binary64)) c)) (neg.f64 b_2)))
	31.7%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1 binary64) (/.f64 (neg.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)))))
	9.9%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c)))
✓	32.1%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
	32.1%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 c b_2))))
✓	32.1%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
	29.4%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (exp.f64 (.f64 (log.f64 (*.f64 #s(literal -2 binary64) b_2)) #s(literal -1 binary64))) c))
✓	32.2%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))

Compiler

Compiled 1 460 to 715 computations (51% saved)

regimes70.0ms (1%)

Memory

25.4MiB live, 63.1MiB allocated

Counts

61 → 3

Calls

Call 1

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

Outputs

(/.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)) (neg.f64 b_2))))

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

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

Calls

4 calls:

18.0ms	b_2
16.0ms	a
16.0ms	c
15.0ms	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
52.6%	2	`a`
86.3%	3	`b_2`
50.5%	1	`c`
78.5%	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)

regimes12.0ms (0.2%)

Memory

-26.5MiB live, 12.1MiB allocated

Counts

34 → 3

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

b_2

Results

Accuracy	Segments	Branch
86.2%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

22 → 3

Calls

Call 1

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

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

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

Calls

1 calls:

7.0ms

b_2

Results

Accuracy	Segments	Branch
82.4%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes12.0ms (0.2%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

19 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

6.0ms	b_2
5.0ms	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
53.7%	3	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
68.3%	2	`b_2`

Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes6.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

17 → 2

Calls

Call 1

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

Calls

1 calls:

5.0ms

b_2

Results

Accuracy	Segments	Branch
68.2%	2	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.1%)

Memory

-28.4MiB live, 10.5MiB allocated

Accuracy

Total -15.0b remaining (-34.6%)

Threshold costs -15b (-34.6%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
32.2%	1	`c`
32.2%	1	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
32.2%	1	`a`
32.2%	1	`b_2`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch35.0ms (0.5%)

Memory

28.3MiB live, 28.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.4820548351244224e+130	1.5672553942041886e+138
17.0ms	-1.3308776892064892e-91	-7.3883352996583464e-93

Samples

13.0ms	209×	0	valid
4.0ms	36×	1	valid
2.0ms	11×	2	valid
2.0ms	26×	0	invalid

Compiler

Compiled 390 to 369 computations (5.4% saved)

Precisions

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

ival-mult: 4.0ms (29.6% of total)

ival-sub: 3.0ms (22.2% of total)

ival-div: 2.0ms (14.8% of total)

ival-sqrt: 2.0ms (14.8% of total)

adjust: 1.0ms (7.4% of total)

ival-neg: 1.0ms (7.4% of total)

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

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

bsearch2.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.4820548351244224e+130	1.5672553942041886e+138
1.0ms	-1.3308776892064892e-91	-7.3883352996583464e-93

Compiler

Compiled 320 to 320 computations (0% saved)

bsearch22.0ms (0.3%)

Memory

-23.7MiB live, 16.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.8656780287839107e-78	8.932859422017906e-72
1.0ms	-1.3308776892064892e-91	-7.3883352996583464e-93

Samples

9.0ms	144×	0	valid
4.0ms	30×	0	invalid

Compiler

Compiled 333 to 347 computations (-4.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-sub: 4.0ms (45.4% of total)

ival-mult: 2.0ms (22.7% of total)

ival-div: 1.0ms (11.4% of total)

ival-sqrt: 1.0ms (11.4% of total)

ival-neg: 1.0ms (11.4% of total)

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

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

bsearch23.0ms (0.3%)

Memory

18.7MiB live, 18.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	-7.842884079470092e-306	3.8651080485811e-293

Samples

10.0ms	160×	0	valid
3.0ms	54×	0	invalid

Compiler

Compiled 186 to 206 computations (-10.8% saved)

Precisions

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

ival-sub: 2.0ms (24.6% of total)

ival-mult: 2.0ms (24.6% of total)

ival-div: 1.0ms (12.3% of total)

ival-sqrt: 1.0ms (12.3% of total)

ival-neg: 1.0ms (12.3% of total)

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

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

bsearch24.0ms (0.3%)

Memory

-19.6MiB live, 18.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	-7.940949660215398e-301	-7.842884079470092e-306

Samples

11.0ms	144×	0	valid
4.0ms	63×	0	invalid

Compiler

Compiled 124 to 160 computations (-29% saved)

Precisions

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

ival-sub: 3.0ms (30.9% of total)

ival-mult: 3.0ms (30.9% of total)

ival-div: 1.0ms (10.3% of total)

ival-sqrt: 1.0ms (10.3% of total)

ival-neg: 1.0ms (10.3% of total)

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

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

simplify25.0ms (0.4%)

Memory

31.0MiB live, 31.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	299
1	86	299
2	113	299
3	142	299
4	160	299
5	168	299
6	170	299

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -3816381697007479/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968 binary64)) (/.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)) (neg.f64 b_2)))) (if (<=.f64 b_2 #s(literal 149999999999999998309219060783035650854759006696223826356975919813926799406253598196190665926003550664126207937295172282295395414966272 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)))
(if (<=.f64 b_2 #s(literal -3816381697007479/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (if (<=.f64 b_2 #s(literal 149999999999999998309219060783035650854759006696223826356975919813926799406253598196190665926003550664126207937295172282295395414966272 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)))
(if (<=.f64 b_2 #s(literal -3816381697007479/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (if (<=.f64 b_2 #s(literal 3381798007586549/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) a) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
(if (<=.f64 b_2 #s(literal -6325070415853457/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464 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 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))

Outputs
(if (<=.f64 b_2 #s(literal -3816381697007479/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968 binary64)) (/.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)) (neg.f64 b_2)))) (if (<=.f64 b_2 #s(literal 149999999999999998309219060783035650854759006696223826356975919813926799406253598196190665926003550664126207937295172282295395414966272 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)))
(if (<=.f64 b_2 #s(literal -3816381697007479/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (.f64 (neg.f64 b_2) (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c))))) (if (<=.f64 b_2 #s(literal 149999999999999998309219060783035650854759006696223826356975919813926799406253598196190665926003550664126207937295172282295395414966272 binary64)) (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) 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)))
(if (<=.f64 b_2 #s(literal -3816381697007479/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (if (<=.f64 b_2 #s(literal 149999999999999998309219060783035650854759006696223826356975919813926799406253598196190665926003550664126207937295172282295395414966272 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)))
(if (<=.f64 b_2 #s(literal -3816381697007479/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968 binary64)) #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 149999999999999998309219060783035650854759006696223826356975919813926799406253598196190665926003550664126207937295172282295395414966272 binary64)) (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) 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)))
(if (<=.f64 b_2 #s(literal -3816381697007479/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (if (<=.f64 b_2 #s(literal 3381798007586549/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) a) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))))
(if (<=.f64 b_2 #s(literal -3816381697007479/73391955711682288371546268649666782105490079653384995959602842860381532034831513858240593699524021969747968 binary64)) #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 3381798007586549/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) (/.f64 (+.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) b_2) (neg.f64 a)) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
(if (<=.f64 b_2 #s(literal -6325070415853457/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464 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 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a))
(if (<=.f64 b_2 #s(literal -6325070415853457/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464 binary64)) #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))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))

soundness405.0ms (5.8%)

Memory

6.4MiB live, 196.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	528	3105
1	1657	3067
2	5512	3045
0	8289	2913
0	1258	13311
1	4132	13097
0	8240	12607
0	38	228
0	62	228
1	238	224
2	1710	224
0	8442	224

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

Compiler

Compiled 259 to 159 computations (38.6% saved)

preprocess105.0ms (1.5%)

Memory: 0.2MiB live, 123.5MiB allocated
Compiler: Compiled 514 to 182 computations (64.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	50
0	17	50
1	32	50
2	59	50
3	121	50
4	200	50
5	353	50
6	594	50
7	708	50
8	769	50
9	785	50
10	786	50
0	786	50

Iter	Nodes	Cost
0	10	50
0	17	50
1	32	50
2	59	50
3	121	50
4	200	50
5	353	50
6	594	50
7	708	50
8	769	50
9	785	50
10	786	50
0	786	50

start0.0ms (0%)

analyze148.0ms (2.1%)

sample1.8s (25.5%)

explain156.0ms (2.2%)

preprocess113.0ms (1.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify203.0ms (2.9%)

localize36.0ms (0.5%)

series28.0ms (0.4%)

simplify162.0ms (2.3%)

rewrite163.0ms (2.3%)

eval136.0ms (1.9%)

prune33.0ms (0.5%)

simplify144.0ms (2.1%)

localize118.0ms (1.7%)

series84.0ms (1.2%)

simplify343.0ms (4.9%)

rewrite262.0ms (3.7%)

eval290.0ms (4.1%)

prune162.0ms (2.3%)

simplify136.0ms (1.9%)

localize136.0ms (1.9%)

series73.0ms (1%)

simplify197.0ms (2.8%)

rewrite164.0ms (2.3%)

eval193.0ms (2.8%)

prune61.0ms (0.9%)

simplify89.0ms (1.3%)

localize104.0ms (1.5%)

series76.0ms (1.1%)

simplify217.0ms (3.1%)

rewrite161.0ms (2.3%)

eval206.0ms (2.9%)

prune61.0ms (0.9%)

regimes70.0ms (1%)

regimes12.0ms (0.2%)

regimes8.0ms (0.1%)

regimes12.0ms (0.2%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch35.0ms (0.5%)

bsearch2.0ms (0%)

bsearch22.0ms (0.3%)

bsearch23.0ms (0.3%)

bsearch24.0ms (0.3%)

simplify25.0ms (0.4%)

soundness405.0ms (5.8%)

preprocess105.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	50
0	17	50
1	32	50
2	59	50
3	121	50
4	200	50
5	353	50
6	594	50
7	708	50
8	769	50
9	785	50
10	786	50
0	786	50