Metrics for quad2m (problem 3.2.1, negative)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze165.0ms (2%)

Memory

14.0MiB live, 168.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 12 computations (20% saved)

sample2.2s (26.6%)

Memory

33.9MiB live, 2 189.2MiB allocated

Samples

521.0ms	1 127×	2	valid
511.0ms	5 553×	0	valid
265.0ms	1 389×	1	valid
90.0ms	1 077×	0	invalid
59.0ms	187×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 806.0ms

ival-mult: 194.0ms (24.1% of total)

ival-sqrt: 169.0ms (21% of total)

ival-sub: 158.0ms (19.6% of total)

ival-div: 112.0ms (13.9% of total)

adjust: 89.0ms (11% of total)

ival-neg: 73.0ms (9.1% of total)

ival-true: 7.0ms (0.9% of total)

ival-assert: 4.0ms (0.5% of total)

Bogosity

explain205.0ms (2.4%)

Memory

6.4MiB live, 224.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
113	-	1	(7.877105934372126e-122 6.831723879365169e-160 -1.5034767689255124e-207)	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
57	-	0	-	`(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
17	-	1	(-6.174265761525637e-301 -4.934424900681099e-13 4.184249301047707e-30)	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
6	-	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	87
↳	`(*.f64 a c)`	overflow	33
↳	`(-.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	57	0
`/.f64`	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`	u/n	16	0
↳	`(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	underflow	28
↳	`(*.f64 b_2 b_2)`	underflow	35
↳	`(*.f64 a c)`	underflow	43
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	6
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	uflow-rescue	6	0
↳	`(*.f64 b_2 b_2)`	underflow	35
↳	`(*.f64 a c)`	underflow	43
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	6
`-.f64`	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	nan-rescue	6	0
↳	`(*.f64 b_2 b_2)`	overflow	87
↳	`(*.f64 a c)`	overflow	33

Confusion

	Predicted +	Predicted -
+	137	1
-	17	101

Precision

0.8896103896103896

Recall

0.9927536231884058

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	137	0	1
-	17	0	101

Precision?

0.8896103896103896

Recall?

0.9927536231884058

Freqs

test

number	freq
0	102
1	119
2	33
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

44.0ms	344×	0	valid
29.0ms	82×	1	valid
15.0ms	68×	2	valid
6.0ms	18×	3	valid

Compiler

Compiled 117 to 34 computations (70.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 9.0ms (23.6% of total)

ival-sub: 8.0ms (21% of total)

ival-sqrt: 7.0ms (18.4% of total)

ival-div: 6.0ms (15.7% of total)

adjust: 5.0ms (13.1% of total)

ival-neg: 3.0ms (7.9% of total)

ival-true: 1.0ms (2.6% of total)

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

preprocess121.0ms (1.4%)

Memory

-21.7MiB live, 96.1MiB 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.7%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify26.0ms (0.3%)

Memory

1.1MiB live, 39.6MiB 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

localize44.0ms (0.5%)

Memory

22.3MiB live, 63.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	1.1992187500000002	(-.f64 (.f64 b_2 b_2) (.f64 a c))
accuracy	3.506330240546761	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
accuracy	13.288756555685794	(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
accuracy	26.29011901690006	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Samples

21.0ms	172×	0	valid
7.0ms	34×	2	valid
6.0ms	41×	1	valid
2.0ms	9×	3	valid

Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-true: 6.0ms (27% of total)

ival-sub: 4.0ms (18% of total)

ival-mult: 4.0ms (18% of total)

ival-div: 3.0ms (13.5% of total)

ival-sqrt: 3.0ms (13.5% of total)

adjust: 2.0ms (9% of total)

ival-neg: 1.0ms (4.5% of total)

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

series25.0ms (0.3%)

Memory

-4.5MiB live, 34.3MiB 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>) () ())) ())
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#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
4.0ms	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)))
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)))
2.0ms	b_2	@	-inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (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)))

simplify151.0ms (1.8%)

Memory

11.5MiB live, 164.8MiB 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)

rewrite217.0ms (2.6%)

Memory

-53.2MiB live, 214.5MiB 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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eval129.0ms (1.5%)

Memory: 12.9MiB live, 130.7MiB allocated
Compiler: Compiled 17 104 to 2 072 computations (87.9% saved)

prune81.0ms (1%)

Memory

-15.2MiB live, 69.7MiB allocated

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	575	18	593
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	575	19	594

Accuracy

90.5%

Counts

594 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	20.2%	(/.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))
	22.4%	(/.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))
	13.7%	(/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) (.f64 a a))
	22.3%	(/.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)
✓	48.7%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	29.6%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
	26.3%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
	35.6%	(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (fma.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal -1/2 binary64) #s(literal 1 binary64)) b_2))) a)
	12.6%	(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (neg.f64 b_2))) a)
	21.1%	(/.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)
	35.6%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (fma.f64 (.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) (/.f64 c b_2) #s(literal -2 binary64)) b_2)) a)
▶	28.4%	(/.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)
	35.3%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
▶	22.1%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
	22.1%	(.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2))
▶	35.7%	#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))))
▶	31.7%	#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)))
	35.5%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) a)) b_2))
▶	35.2%	#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 535 to 398 computations (25.6% saved)

simplify284.0ms (3.4%)

Memory

4.1MiB live, 119.9MiB 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	(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
cost-diff	0	(-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))
cost-diff	0	(/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
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 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 (/.f64 b_2 a) #s(literal -2 binary64))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) b_2)
cost-diff	0	(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
cost-diff	0	#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))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	293
0	72	293
1	126	293
2	232	291
3	455	288
4	865	286
5	2193	286
6	4344	286
7	5938	286
8	6358	286
9	6533	286
10	6635	286
11	6700	286
12	6938	286
13	7132	286
14	7138	286
15	7138	286
16	7138	286
17	7697	286
0	8013	283

Stop Event

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

Calls

Call 1

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

localize228.0ms (2.7%)

Memory

8.3MiB live, 213.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.6397696882833017	(.f64 (.f64 c c) a)
accuracy	1.6779714654212272	(/.f64 (.f64 (.f64 c c) a) b_2)
accuracy	2.586423037403853	(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	20.345164692221303	#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	0.09375	(/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
accuracy	0.1171875	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
accuracy	1.249986238027801	(fma.f64 c a (*.f64 b_2 b_2))
accuracy	6.16284367478345	(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
accuracy	0	(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
accuracy	0.0625	(/.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	0.7800532751494541	(.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
accuracy	20.277546083856738	#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 c b_2)
accuracy	0	(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
accuracy	20.281564951509207	#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 #s(literal 1/2 binary64) b_2)
accuracy	0	(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
accuracy	0.05859375	(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
accuracy	20.153743440256317	#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))))

Samples

132.0ms	172×	0	invalid
31.0ms	84×	0	valid

Compiler

Compiled 253 to 42 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-mult: 70.0ms (65.2% of total)

ival-div: 24.0ms (22.4% of total)

ival-add: 3.0ms (2.8% of total)

ival-sub: 3.0ms (2.8% of total)

ival-sqrt: 3.0ms (2.8% of total)

ival-neg: 2.0ms (1.9% of total)

exact: 1.0ms (0.9% of total)

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

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

series149.0ms (1.8%)

Memory

6.8MiB live, 157.7MiB allocated

Counts

22 → 684

Calls

Call 1

Inputs
#s(alt #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)))) (patch #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)))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64))) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64))) #<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 b_2 a) #s(literal -2 binary64)) (patch (.f64 (/.f64 b_2 a) #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 #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 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))))) #<representation binary64>) () ())
#s(alt (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (patch (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())
#s(alt (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) (patch (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 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 (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 (fma.f64 c a (.f64 b_2 b_2)) (patch (fma.f64 c a (.f64 b_2 b_2)) #<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 #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)))) (patch #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)))) #<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) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) (patch #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)))) #<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) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) (patch #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)))) #<representation binary64>) () ())) ())
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#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 (.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 (* 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 (.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 (* -1 (* (sqrt (* a c)) (sqrt -1))) (taylor inf c) (#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 (* 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 (.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 (* 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 (.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 (* 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 (.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 inf c) (#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 inf c) (#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 inf c) (#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 inf c) (#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 (* (sqrt (/ c a)) (sqrt -1))) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))))) #<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)))) (/ b_2 (* a c))))) (taylor inf c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))))) #<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 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (taylor inf c) (#s(alt (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (patch (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) c) (taylor inf c) (#s(alt (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (patch (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (pow c 2)))) (/ b_2 (pow (sqrt -1) 2))) c) (taylor inf c) (#s(alt (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (patch (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 2)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (sqrt -1)))) (pow c 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))) (/ b_2 (pow (sqrt -1) 2))))) c) (taylor inf c) (#s(alt (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (patch (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a c)) (sqrt -1))) (taylor inf c) (#s(alt (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) (patch (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))) (taylor inf c) (#s(alt (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) (patch (-.f64 b_2 (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)))) (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) (taylor inf c) (#s(alt (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) (patch (-.f64 b_2 (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)))) (/ b_2 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 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) (patch (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) #<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>) () ())) ())
#s(alt (* 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)))))) (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 (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (taylor inf c) (#s(alt (fma.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal 1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ (* 1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c)))) (taylor inf c) (#s(alt (fma.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal 1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ (* 1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c)))) (taylor inf c) (#s(alt (fma.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal 1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ (* 1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c)))) (taylor inf c) (#s(alt (fma.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal 1/2 binary64))) (patch (fma.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (taylor inf c) (#s(alt (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal 1/2 binary64))) (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 (* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c))))) (taylor inf c) (#s(alt (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal 1/2 binary64))) (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 (* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c))))) (taylor inf c) (#s(alt (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal 1/2 binary64))) (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 (* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c))))) (taylor inf c) (#s(alt (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal 1/2 binary64))) (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 (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor inf c) (#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal 1/2 binary64))) (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 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c))))) (taylor inf c) (#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 c #s(literal 1/2 binary64))) (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 (* 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 #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 (* 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 #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 (* 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 (/ (* a (pow c 2)) b_2) (taylor inf c) (#s(alt (/.f64 (.f64 (.f64 c c) a) b_2) (patch (/.f64 (.f64 (.f64 c c) a) b_2) #<representation binary64>) () ())) ())
#s(alt (/ (* a (pow c 2)) b_2) (taylor inf c) (#s(alt (/.f64 (.f64 (.f64 c c) a) b_2) (patch (/.f64 (.f64 (.f64 c c) a) b_2) #<representation binary64>) () ())) ())
#s(alt (/ (* a (pow c 2)) b_2) (taylor inf c) (#s(alt (/.f64 (.f64 (.f64 c c) a) b_2) (patch (/.f64 (.f64 (.f64 c c) a) b_2) #<representation binary64>) () ())) ())
#s(alt (/ (* a (pow c 2)) b_2) (taylor inf c) (#s(alt (/.f64 (.f64 (.f64 c c) a) b_2) (patch (/.f64 (.f64 (.f64 c c) a) b_2) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor inf c) (#s(alt (.f64 (.f64 c c) a) (patch (.f64 (.f64 c c) a) #<representation binary64>) () ())) ())
#s(alt (* a (pow c 2)) (taylor inf c) (#s(alt (.f64 (.f64 c c) a) (patch (.f64 (.f64 c c) a) #<representation binary64>) () ())) ())
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#s(alt (/ 1/8 b_2) (taylor -inf b_2) (#s(alt (/.f64 #s(literal 1/8 binary64) b_2) (patch (/.f64 #s(literal 1/8 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 (/ (* 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
29.0ms	b_2	@	-inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (/ 1/2 b_2) (* (/ b_2 a) -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)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (/ 1 (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))))) (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (+ (* (/ 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) (+ (* c a) (* b_2 b_2)) (/ (* (* c c) a) b_2) (* (* c c) a))
21.0ms	c	@	-inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (/ 1/2 b_2) (* (/ b_2 a) -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)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (/ 1 (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))))) (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (+ (* (/ 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) (+ (* c a) (* b_2 b_2)) (/ (* (* c c) a) b_2) (* (* c c) a))
17.0ms	a	@	-inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (/ 1/2 b_2) (* (/ b_2 a) -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)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (/ 1 (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))))) (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (+ (* (/ 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) (+ (* c a) (* b_2 b_2)) (/ (* (* c c) a) b_2) (* (* c c) a))
8.0ms	a	@	0	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (/ 1/2 b_2) (* (/ b_2 a) -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)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (/ 1 (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))))) (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (+ (* (/ 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) (+ (* c a) (* b_2 b_2)) (/ (* (* c c) a) b_2) (* (* c c) a))
7.0ms	b_2	@	inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (/ 1/2 b_2) (* (/ b_2 a) -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)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (/ 1 (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))))) (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (+ (* (/ 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) (+ (* c a) (* b_2 b_2)) (/ (* (* c c) a) b_2) (* (* c c) a))

simplify244.0ms (2.9%)

Memory

-5.8MiB live, 342.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1232	12612
1	4056	12272
0	8652	11818

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 684

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

rewrite217.0ms (2.6%)

Memory

1.4MiB live, 240.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	248
0	72	248
1	266	246
2	1865	246
0	8730	246

Stop Event

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

Counts

22 → 755

Calls

Call 1

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

Outputs
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eval188.0ms (2.2%)

Memory: 28.7MiB live, 339.3MiB allocated
Compiler: Compiled 32 374 to 4 316 computations (86.7% saved)

prune57.0ms (0.7%)

Memory

4.5MiB live, 127.7MiB allocated

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	1 423	16	1 439
Fresh	4	9	13
Picked	5	0	5
Done	0	1	1
Total	1 432	26	1 458

Accuracy

90.5%

Counts

1 458 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	20.2%	(/.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))
	22.4%	(/.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))
	13.7%	(/.f64 (-.f64 (.f64 b_2 a) (.f64 a (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (.f64 a a))
▶	22.3%	(/.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)
✓	48.7%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	29.6%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
	35.6%	(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (fma.f64 (.f64 (/.f64 (/.f64 c b_2) b_2) a) #s(literal -1/2 binary64) #s(literal 1 binary64)) b_2))) a)
	12.6%	(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (neg.f64 b_2))) a)
	27.0%	(/.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)
▶	35.6%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (fma.f64 (.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) (/.f64 c b_2) #s(literal -2 binary64)) b_2)) a)
	29.8%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal -1 binary64))) (.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))) a)
▶	28.4%	(/.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)
	35.3%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
	23.1%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))))
▶	22.1%	(.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2))
	12.7%	(exp.f64 (.f64 (log.f64 (/.f64 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(literal -1 binary64)))
	35.5%	#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 b_2 (/.f64 #s(literal -2 binary64) a))))
	34.6%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (exp.f64 (.f64 (log.f64 (.f64 b_2 #s(literal 2 binary64))) #s(literal -1 binary64))) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
	35.6%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
	35.2%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
	33.9%	#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)))
	34.7%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
	34.3%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (fma.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) a)) b_2))
	35.1%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b_2))))
	16.6%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (exp.f64 (.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64)))))
▶	12.7%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))

Compiler

Compiled 653 to 536 computations (17.9% saved)

simplify126.0ms (1.5%)

Memory

-8.9MiB live, 127.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	346
0	69	346
1	126	343
2	260	341
3	592	340
4	1578	337
5	5031	337
6	7419	337
0	8203	332

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

localize105.0ms (1.3%)

Memory

3.7MiB live, 163.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.06640625	(/.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)
accuracy	1.249986238027801	(fma.f64 c a (*.f64 b_2 b_2))
accuracy	6.16284367478345	(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
accuracy	6.24487492478345	(/.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)))))
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	1.249986238027801	(fma.f64 c a (*.f64 b_2 b_2))
accuracy	6.16284367478345	(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
accuracy	0.046875	(*.f64 a (/.f64 #s(literal -1/2 binary64) b_2))
accuracy	0.0625	(/.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)
accuracy	0.7800532751494541	(.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)
accuracy	20.277546083856738	#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c))
accuracy	0	(/.f64 c b_2)
accuracy	0	(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
accuracy	0.5236837433422734	#s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
accuracy	20.153743440256317	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
accuracy	0.0625	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (fma.f64 (.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) (/.f64 c b_2) #s(literal -2 binary64)) b_2)) a)
accuracy	0.5448136238878674	(fma.f64 (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) (/.f64 c b_2) #s(literal -2 binary64))
accuracy	3.5684771341537576	(.f64 (fma.f64 (.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) (/.f64 c b_2) #s(literal -2 binary64)) b_2)
accuracy	20.16100851674382	#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (fma.f64 (.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) (/.f64 c b_2) #s(literal -2 binary64)) b_2))

Samples

56.0ms	172×	0	invalid
24.0ms	84×	0	valid

Compiler

Compiled 298 to 41 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-div: 22.0ms (38.8% of total)

ival-mult: 18.0ms (31.7% of total)

ival-sub: 5.0ms (8.8% of total)

ival-sqrt: 5.0ms (8.8% of total)

ival-add: 3.0ms (5.3% of total)

ival-neg: 2.0ms (3.5% of total)

exact: 1.0ms (1.8% of total)

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

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

series72.0ms (0.9%)

Memory

-5.6MiB live, 113.0MiB allocated

Counts

22 → 708

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	a	@	0	((* (+ (* (* (/ a b_2) 1/2) (/ c b_2)) -2) b_2) (/ (- (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 b_2)) -2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ c b_2) 1/2) (/ c b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* a (/ -1/2 b_2)) c) (* a (/ -1/2 b_2)) (* (/ -1 a) (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2)) (/ -1 a) (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (- (neg b_2) (/ (neg (+ (* c a) (* b_2 b_2))) (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (neg b_2) (/ (neg (+ (* c a) (* b_2 b_2))) (sqrt (neg (+ (* c a) (* b_2 b_2))))) (neg (+ (* c a) (* b_2 b_2))) (+ (* c a) (* b_2 b_2)) (/ (- (neg b_2) (/ (neg (+ (* c a) (* b_2 b_2))) (sqrt (neg (+ (* c a) (* b_2 b_2)))))) a))
6.0ms	c	@	-inf	((* (+ (* (* (/ a b_2) 1/2) (/ c b_2)) -2) b_2) (/ (- (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 b_2)) -2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ c b_2) 1/2) (/ c b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* a (/ -1/2 b_2)) c) (* a (/ -1/2 b_2)) (* (/ -1 a) (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2)) (/ -1 a) (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (- (neg b_2) (/ (neg (+ (* c a) (* b_2 b_2))) (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (neg b_2) (/ (neg (+ (* c a) (* b_2 b_2))) (sqrt (neg (+ (* c a) (* b_2 b_2))))) (neg (+ (* c a) (* b_2 b_2))) (+ (* c a) (* b_2 b_2)) (/ (- (neg b_2) (/ (neg (+ (* c a) (* b_2 b_2))) (sqrt (neg (+ (* c a) (* b_2 b_2)))))) a))
5.0ms	c	@	inf	((* (+ (* (* (/ a b_2) 1/2) (/ c b_2)) -2) b_2) (/ (- (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 b_2)) -2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ c b_2) 1/2) (/ c b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* a (/ -1/2 b_2)) c) (* a (/ -1/2 b_2)) (* (/ -1 a) (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2)) (/ -1 a) (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (- (neg b_2) (/ (neg (+ (* c a) (* b_2 b_2))) (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (neg b_2) (/ (neg (+ (* c a) (* b_2 b_2))) (sqrt (neg (+ (* c a) (* b_2 b_2))))) (neg (+ (* c a) (* b_2 b_2))) (+ (* c a) (* b_2 b_2)) (/ (- (neg b_2) (/ (neg (+ (* c a) (* b_2 b_2))) (sqrt (neg (+ (* c a) (* b_2 b_2)))))) a))
4.0ms	a	@	inf	((* (+ (* (* (/ a b_2) 1/2) (/ c b_2)) -2) b_2) (/ (- (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 b_2)) -2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ c b_2) 1/2) (/ c b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* a (/ -1/2 b_2)) c) (* a (/ -1/2 b_2)) (* (/ -1 a) (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2)) (/ -1 a) (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (- (neg b_2) (/ (neg (+ (* c a) (* b_2 b_2))) (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (neg b_2) (/ (neg (+ (* c a) (* b_2 b_2))) (sqrt (neg (+ (* c a) (* b_2 b_2))))) (neg (+ (* c a) (* b_2 b_2))) (+ (* c a) (* b_2 b_2)) (/ (- (neg b_2) (/ (neg (+ (* c a) (* b_2 b_2))) (sqrt (neg (+ (* c a) (* b_2 b_2)))))) a))
4.0ms	b_2	@	inf	((* (+ (* (* (/ a b_2) 1/2) (/ c b_2)) -2) b_2) (/ (- (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 b_2)) -2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ c b_2) 1/2) (/ c b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* a (/ -1/2 b_2)) c) (* a (/ -1/2 b_2)) (* (/ -1 a) (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2)) (/ -1 a) (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (- (neg b_2) (/ (neg (+ (* c a) (* b_2 b_2))) (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (neg b_2) (/ (neg (+ (* c a) (* b_2 b_2))) (sqrt (neg (+ (* c a) (* b_2 b_2))))) (neg (+ (* c a) (* b_2 b_2))) (+ (* c a) (* b_2 b_2)) (/ (- (neg b_2) (/ (neg (+ (* c a) (* b_2 b_2))) (sqrt (neg (+ (* c a) (* b_2 b_2)))))) a))

simplify270.0ms (3.2%)

Memory

-21.5MiB live, 338.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1235	13131
1	4117	12881
0	8376	12381

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 708

Calls

Call 1

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

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

rewrite172.0ms (2%)

Memory

10.3MiB live, 239.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	286
0	69	278
1	273	275
2	2001	261
0	8723	259

Stop Event

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

Counts

22 → 867

Calls

Call 1

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

Outputs
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eval277.0ms (3.3%)

Memory: 25.8MiB live, 478.5MiB allocated
Compiler: Compiled 57 944 to 6 082 computations (89.5% saved)

prune189.0ms (2.3%)

Memory

6.9MiB live, 132.0MiB allocated

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	2 172	9	2 181
Fresh	4	16	20
Picked	3	2	5
Done	0	1	1
Total	2 179	28	2 207

Accuracy

90.5%

Counts

2 207 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	22.4%	(/.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))
	13.7%	(/.f64 (-.f64 (.f64 b_2 a) (.f64 a (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (.f64 a a))
	24.3%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 #s(approx (+ ( c a) (* b_2 b_2)) (*.f64 c a)))))) a)
✓	48.7%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	29.6%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
	12.6%	(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (neg.f64 b_2))) a)
	34.4%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (fma.f64 (.f64 a #s(literal -1 binary64)) (/.f64 (.f64 c #s(literal 1/2 binary64)) (.f64 (neg.f64 b_2) b_2)) #s(literal -2 binary64)) b_2)) a)
	29.8%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal -1 binary64))) (.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))) a)
	27.0%	(/.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)
✓	28.4%	(/.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)
	12.8%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(approx (+ ( (* (/ a b_2) 1/2) (/ c b_2)) -2) (.f64 (.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) (/.f64 c b_2))) b_2)) a)
	35.3%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(approx (+ ( (* (/ a b_2) 1/2) (/ c b_2)) -2) #s(literal -2 binary64)) b_2)) a)
▶	23.1%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))))
	23.1%	(.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))
	12.7%	(exp.f64 (.f64 (log.f64 (/.f64 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(literal -1 binary64)))
	35.5%	#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 b_2 (/.f64 #s(literal -2 binary64) a))))
	34.6%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (exp.f64 (.f64 (log.f64 (.f64 b_2 #s(literal 2 binary64))) #s(literal -1 binary64))) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
▶	35.6%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
	35.2%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
	33.9%	#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)))
	34.7%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
	34.3%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (fma.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) a)) b_2))
▶	35.1%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b_2))))
	16.6%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (exp.f64 (.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64)))))
	12.7%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c))))
✓	12.7%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
▶	12.7%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))
	6.3%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))) #s(literal 1/2 binary64))))

Compiler

Compiled 636 to 563 computations (11.5% saved)

simplify291.0ms (3.5%)

Memory

29.6MiB live, 218.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 c a (*.f64 b_2 b_2))
cost-diff	0	(/.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))
cost-diff	64	(fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))
cost-diff	320	(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) a)
cost-diff	0	(sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))
cost-diff	0	(-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))
cost-diff	0	(/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))))
cost-diff	0	(neg.f64 c)
cost-diff	0	(.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) 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 (neg.f64 c) (/.f64 #s(literal -1 binary64) b_2))))
cost-diff	448	(*.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) 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 (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.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) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))
cost-diff	0	(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 #s(literal -2 binary64) a)
cost-diff	0	(fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	321
0	76	318
1	132	314
2	234	308
3	463	308
4	879	308
5	1436	308
6	2163	308
7	3428	308
8	4252	308
9	4513	308
10	4607	308
11	4645	308
12	5025	304
13	5943	304
14	6141	304
15	6280	304
16	7475	304
0	8092	301

Stop Event

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

Calls

Call 1

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

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

localize119.0ms (1.4%)

Memory

-56.7MiB live, 169.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.09765625	(/.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))
accuracy	1.249986238027801	(fma.f64 c a (*.f64 b_2 b_2))
accuracy	6.10763289070479	(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) a)
accuracy	6.16284367478345	(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
accuracy	0.09375	(/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))))
accuracy	0.1171875	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))))
accuracy	0.149508068229326	#s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))
accuracy	6.16284367478345	(sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))
accuracy	0	(.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b_2)))
accuracy	0	(neg.f64 c)
accuracy	0.0625	(*.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b_2))
accuracy	20.281564951509207	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b_2))))
accuracy	0	(/.f64 #s(literal 1/2 binary64) b_2)
accuracy	0.0625	(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
accuracy	0.5236837433422734	#s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))
accuracy	20.153743440256317	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))
accuracy	0	(/.f64 #s(literal -2 binary64) a)
accuracy	0	(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
accuracy	0.00390625	(fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
accuracy	20.153743440256317	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))

Samples

46.0ms	172×	0	invalid
23.0ms	84×	0	valid

Compiler

Compiled 273 to 42 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-div: 15.0ms (30.7% of total)

ival-mult: 15.0ms (30.7% of total)

ival-sub: 7.0ms (14.3% of total)

ival-add: 4.0ms (8.2% of total)

ival-sqrt: 4.0ms (8.2% of total)

ival-neg: 3.0ms (6.1% of total)

exact: 1.0ms (2% of total)

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

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

series77.0ms (0.9%)

Memory

9.8MiB live, 125.8MiB allocated

Counts

22 → 672

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
18.0ms	a	@	-inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* b_2 (/ -2 a)) (* (/ c b_2) 1/2)) (/ -2 a) (* (/ c b_2) 1/2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ 1/2 b_2) c) (/ 1/2 b_2) (* (neg c) (/ -1 b_2)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (* (neg c) (/ -1 b_2))) (neg c) (/ 1 (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))))) (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (/ (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) a) (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (/ (/ (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) a) (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2)) (+ (* c a) (* b_2 b_2)) (+ (* c a) (* b_2 b_2)) (sqrt (neg (+ (* c a) (* b_2 b_2)))))
5.0ms	b_2	@	-inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* b_2 (/ -2 a)) (* (/ c b_2) 1/2)) (/ -2 a) (* (/ c b_2) 1/2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ 1/2 b_2) c) (/ 1/2 b_2) (* (neg c) (/ -1 b_2)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (* (neg c) (/ -1 b_2))) (neg c) (/ 1 (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))))) (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (/ (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) a) (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (/ (/ (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) a) (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2)) (+ (* c a) (* b_2 b_2)) (+ (* c a) (* b_2 b_2)) (sqrt (neg (+ (* c a) (* b_2 b_2)))))
4.0ms	c	@	-inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* b_2 (/ -2 a)) (* (/ c b_2) 1/2)) (/ -2 a) (* (/ c b_2) 1/2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ 1/2 b_2) c) (/ 1/2 b_2) (* (neg c) (/ -1 b_2)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (* (neg c) (/ -1 b_2))) (neg c) (/ 1 (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))))) (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (/ (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) a) (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (/ (/ (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) a) (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2)) (+ (* c a) (* b_2 b_2)) (+ (* c a) (* b_2 b_2)) (sqrt (neg (+ (* c a) (* b_2 b_2)))))
4.0ms	b_2	@	inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* b_2 (/ -2 a)) (* (/ c b_2) 1/2)) (/ -2 a) (* (/ c b_2) 1/2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ 1/2 b_2) c) (/ 1/2 b_2) (* (neg c) (/ -1 b_2)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (* (neg c) (/ -1 b_2))) (neg c) (/ 1 (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))))) (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (/ (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) a) (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (/ (/ (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) a) (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2)) (+ (* c a) (* b_2 b_2)) (+ (* c a) (* b_2 b_2)) (sqrt (neg (+ (* c a) (* b_2 b_2)))))
4.0ms	c	@	inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* b_2 (/ -2 a)) (* (/ c b_2) 1/2)) (/ -2 a) (* (/ c b_2) 1/2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ 1/2 b_2) c) (/ 1/2 b_2) (* (neg c) (/ -1 b_2)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (* (neg c) (/ -1 b_2))) (neg c) (/ 1 (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))))) (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (/ (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) a) (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (/ (/ (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) a) (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2)) (+ (* c a) (* b_2 b_2)) (+ (* c a) (* b_2 b_2)) (sqrt (neg (+ (* c a) (* b_2 b_2)))))

simplify205.0ms (2.5%)

Memory

2.0MiB live, 196.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1465	14913
1	4934	14368
0	8166	13839

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 667

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

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

rewrite165.0ms (2%)

Memory

21.9MiB live, 180.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	262
0	76	262
1	291	249
2	2118	249
0	8471	249

Stop Event

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

Counts

22 → 882

Calls

Call 1

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

Outputs
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eval196.0ms (2.3%)

Memory: 4.3MiB live, 220.2MiB allocated
Compiler: Compiled 39 956 to 4 799 computations (88% saved)

prune61.0ms (0.7%)

Memory

18.3MiB live, 110.4MiB allocated

Pruning

28 alts after pruning (22 fresh and 6 done)

	Pruned	Kept	Total
New	1 616	6	1 622
Fresh	4	16	20
Picked	2	3	5
Done	0	3	3
Total	1 622	28	1 650

Accuracy

90.5%

Counts

1 650 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.4%	(/.f64 (/.f64 #s(approx (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (.f64 c a)) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2))
	20.5%	(/.f64 (-.f64 (.f64 b_2 b_2) (neg.f64 #s(approx (+ ( c a) (* b_2 b_2)) (.f64 c a)))) (.f64 a (+.f64 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))) b_2)))
	14.8%	(/.f64 (-.f64 (.f64 b_2 a) (.f64 a (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (.f64 c a)))))) (.f64 a a))
✓	48.7%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	29.6%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
	12.6%	(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (neg.f64 b_2))) a)
	23.1%	(/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)
	34.4%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (fma.f64 (.f64 a #s(literal -1 binary64)) (/.f64 (.f64 c #s(literal 1/2 binary64)) (.f64 (neg.f64 b_2) b_2)) #s(literal -2 binary64)) b_2)) a)
	29.8%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal -1 binary64))) (.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))) a)
✓	28.4%	(/.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)
	12.8%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(approx (+ ( (* (/ a b_2) 1/2) (/ c b_2)) -2) (.f64 (.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) (/.f64 c b_2))) b_2)) a)
	35.3%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(approx (+ ( (* (/ a b_2) 1/2) (/ c b_2)) -2) #s(literal -2 binary64)) b_2)) a)
✓	23.1%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))))
	23.1%	(.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))
	12.7%	(exp.f64 (.f64 (log.f64 (/.f64 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(literal -1 binary64)))
	35.5%	#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 b_2 (/.f64 #s(literal -2 binary64) a))))
✓	35.6%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
	35.2%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
	33.9%	#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)))
	34.7%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
	34.3%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (fma.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) a)) b_2))
	35.1%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (neg.f64 c)))
	16.6%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (exp.f64 (.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64)))))
	12.7%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c))))
✓	12.7%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
✓	12.7%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))
	6.3%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))) #s(literal 1/2 binary64))))
	2.1%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (.f64 (exp.f64 (.f64 (log.f64 (*.f64 b_2 #s(literal 2 binary64))) #s(literal -1 binary64))) c)))

Compiler

Compiled 965 to 510 computations (47.2% saved)

regimes58.0ms (0.7%)

Memory

-23.7MiB live, 53.0MiB allocated

Counts

50 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

15.0ms	a
13.0ms	c
13.0ms	b_2
12.0ms	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
50.8%	2	`a`
85.5%	3	`b_2`
48.7%	1	`c`
73.8%	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)

regimes8.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

23 → 3

Calls

Call 1

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

Outputs

#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) 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
82.0%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

6.0ms

b_2

Results

Accuracy	Segments	Branch
81.6%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

19 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

6.0ms

b_2

Results

Accuracy	Segments	Branch
81.5%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.1%)

Memory

-31.3MiB live, 7.2MiB allocated

Counts

18 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

b_2

Results

Accuracy	Segments	Branch
81.5%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

5.0ms

b_2

Results

Accuracy	Segments	Branch
81.4%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

#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)

Calls

2 calls:

4.0ms	b_2
3.0ms	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
52.1%	3	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
68.1%	2	`b_2`

Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes9.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

4 → 1

Calls

Call 1

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
35.2%	1	`c`
35.2%	1	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
35.2%	1	`a`
35.2%	1	`b_2`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes10.0ms (0.1%)

Memory

-30.2MiB live, 10.6MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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:

3.0ms	a
2.0ms	c
2.0ms	b_2
2.0ms	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
35.2%	1	`a`
35.2%	1	`c`
35.2%	1	`b_2`
35.2%	1	`(/.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)

regimes7.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

2.0ms	a
2.0ms	c
2.0ms	b_2
1.0ms	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
12.7%	1	`a`
12.7%	1	`c`
12.7%	1	`b_2`
12.7%	1	`(/.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)

regimes5.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
12.7%	1	`c`
12.7%	1	`a`
12.7%	1	`b_2`
12.7%	1	`(/.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)

bsearch26.0ms (0.3%)

Memory

-8.2MiB live, 29.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.4084566092055642e+69	1.0688079761453247e+76
5.0ms	-1.1907771561234772e-69	-1.0601198287851265e-69

Samples

11.0ms	164×	0	valid
2.0ms	23×	0	invalid
1.0ms	10×	1	valid
0.0ms	2×	2	valid

Compiler

Compiled 270 to 252 computations (6.7% saved)

Precisions

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

ival-mult: 3.0ms (33.7% of total)

ival-sub: 2.0ms (22.5% of total)

ival-div: 1.0ms (11.2% of total)

ival-sqrt: 1.0ms (11.2% of total)

ival-neg: 1.0ms (11.2% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch20.0ms (0.2%)

Memory

23.5MiB live, 23.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.1410556291533002e-87	4.548503222002911e-84
0.0ms	-1.1907771561234772e-69	-1.0601198287851265e-69

Samples

8.0ms	128×	0	valid
3.0ms	46×	0	invalid

Compiler

Compiled 226 to 230 computations (-1.8% saved)

Precisions

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

ival-sub: 2.0ms (28.6% of total)

ival-mult: 2.0ms (28.6% of total)

ival-div: 1.0ms (14.3% of total)

ival-sqrt: 1.0ms (14.3% of total)

ival-neg: 1.0ms (14.3% of total)

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

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

bsearch23.0ms (0.3%)

Memory

-16.8MiB live, 20.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.2066823891319597e-119	5.885185525605256e-118
0.0ms	-1.1907771561234772e-69	-1.0601198287851265e-69

Samples

7.0ms	112×	0	valid
3.0ms	37×	0	invalid

Compiler

Compiled 195 to 199 computations (-2.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 2.0ms (33.1% of total)

ival-sub: 1.0ms (16.5% of total)

ival-div: 1.0ms (16.5% of total)

ival-sqrt: 1.0ms (16.5% of total)

ival-neg: 1.0ms (16.5% of total)

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

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

bsearch2.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.2066823891319597e-119	5.885185525605256e-118
0.0ms	-1.1907771561234772e-69	-1.0601198287851265e-69

Compiler

Compiled 195 to 199 computations (-2.1% saved)

bsearch2.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.2066823891319597e-119	5.885185525605256e-118
0.0ms	-1.1907771561234772e-69	-1.0601198287851265e-69

Compiler

Compiled 195 to 199 computations (-2.1% saved)

bsearch8.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	2.2066823891319597e-119	5.885185525605256e-118
0.0ms	-1.1907771561234772e-69	-1.0601198287851265e-69

Samples

3.0ms	48×	0	valid
1.0ms	16×	0	invalid

Compiler

Compiled 160 to 178 computations (-11.3% saved)

Precisions

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

ival-sub: 1.0ms (39.1% of total)

ival-mult: 1.0ms (39.1% of total)

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

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

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

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

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

bsearch37.0ms (0.4%)

Memory

-0.3MiB live, 37.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
34.0ms	-6.90013698608173e-300	3.4526172281256907e-276

Samples

18.0ms	192×	0	valid
6.0ms	96×	0	invalid

Compiler

Compiled 160 to 208 computations (-30% saved)

Precisions

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

ival-mult: 4.0ms (34.1% of total)

ival-sub: 3.0ms (25.6% of total)

ival-div: 2.0ms (17.1% of total)

ival-sqrt: 2.0ms (17.1% of total)

ival-neg: 1.0ms (8.5% of total)

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

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

simplify34.0ms (0.4%)

Memory

-0.7MiB live, 43.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	538
1	118	538
2	144	538
3	171	538
4	187	538
5	194	538
6	196	538

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -4468138452119177/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2)) (if (<=.f64 b_2 #s(literal 130000000000000002502206884884982926620860110534650344260666487942393364480 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (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 -4351578318585633/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2)) (if (<=.f64 b_2 #s(literal 2012270666800371/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648 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 -4351578318585633/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2)) (if (<=.f64 b_2 #s(literal 4542742026847543/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ ( c a) (* b_2 b_2)) (.f64 c a))))) 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 -4351578318585633/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2)) (if (<=.f64 b_2 #s(literal 4542742026847543/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ ( c a) (* b_2 b_2)) (.f64 c a))))) 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 b_2 (/.f64 #s(literal -2 binary64) a))))))
(if (<=.f64 b_2 #s(literal -4351578318585633/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2)) (if (<=.f64 b_2 #s(literal 4542742026847543/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ ( c a) (* b_2 b_2)) (.f64 c a))))) a) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))))
(if (<=.f64 b_2 #s(literal -4351578318585633/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2)) (if (<=.f64 b_2 #s(literal 5791996084230617/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ ( c a) (* b_2 b_2)) (.f64 c a))))) 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 -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #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 (*.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 c b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))

Outputs
(if (<=.f64 b_2 #s(literal -4468138452119177/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2)) (if (<=.f64 b_2 #s(literal 130000000000000002502206884884982926620860110534650344260666487942393364480 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (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 -4468138452119177/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2)) (if (<=.f64 b_2 #s(literal 130000000000000002502206884884982926620860110534650344260666487942393364480 binary64)) (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) 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 #s(literal -2 binary64) (/.f64 b_2 a))))))
(if (<=.f64 b_2 #s(literal -4351578318585633/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2)) (if (<=.f64 b_2 #s(literal 2012270666800371/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648 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 -4351578318585633/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2)) (if (<=.f64 b_2 #s(literal 2012270666800371/4374501449566023848745004454235242730706338861786424872851541212819905998398751846447026354046107648 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 #s(literal -2 binary64) (/.f64 b_2 a))))))
(if (<=.f64 b_2 #s(literal -4351578318585633/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2)) (if (<=.f64 b_2 #s(literal 4542742026847543/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ ( c a) (* b_2 b_2)) (.f64 c a))))) 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 -4351578318585633/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2)) (if (<=.f64 b_2 #s(literal 4542742026847543/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ ( c a) (* b_2 b_2)) (.f64 c a))))) 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 #s(literal -2 binary64) (/.f64 b_2 a))))))
(if (<=.f64 b_2 #s(literal -4351578318585633/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2)) (if (<=.f64 b_2 #s(literal 4542742026847543/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ ( c a) (* b_2 b_2)) (.f64 c a))))) 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 b_2 (/.f64 #s(literal -2 binary64) a))))))
(if (<=.f64 b_2 #s(literal -4351578318585633/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2)) (if (<=.f64 b_2 #s(literal 4542742026847543/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ ( c a) (* b_2 b_2)) (.f64 c a))))) 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 #s(literal -2 binary64) a) b_2)))))
(if (<=.f64 b_2 #s(literal -4351578318585633/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2)) (if (<=.f64 b_2 #s(literal 4542742026847543/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ ( c a) (* b_2 b_2)) (.f64 c a))))) a) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))))
(if (<=.f64 b_2 #s(literal -4351578318585633/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2)) (if (<=.f64 b_2 #s(literal 5791996084230617/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ ( c a) (* b_2 b_2)) (.f64 c a))))) 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 -4351578318585633/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2)) (if (<=.f64 b_2 #s(literal 5791996084230617/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ ( c a) (* b_2 b_2)) (.f64 c a))))) 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 -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #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))
(if (<=.f64 b_2 #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #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 #s(literal -2 binary64) b_2)) a))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.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 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)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))

soundness901.0ms (10.8%)

Memory

-12.3MiB live, 406.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1232	12612
1	4056	12272
0	8652	11818
0	528	3105
1	1657	3067
2	5512	3045
0	8289	2913
0	45	286
0	69	278
1	273	275
2	2001	261
0	8723	259
0	51	262
0	76	262
1	291	249
2	2118	249
0	8471	249
0	44	248
0	72	248
1	266	246
2	1865	246
0	8730	246
0	10	41
0	17	41
1	68	41
2	503	38
3	6607	38
0	8430	38

Stop Event

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

Compiler

Compiled 595 to 392 computations (34.1% saved)

preprocess105.0ms (1.2%)

Memory: 9.5MiB live, 193.4MiB allocated
Compiler: Compiled 706 to 224 computations (68.3% 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%)

analyze165.0ms (2%)

sample2.2s (26.6%)

explain205.0ms (2.4%)

preprocess121.0ms (1.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify26.0ms (0.3%)

localize44.0ms (0.5%)

series25.0ms (0.3%)

simplify151.0ms (1.8%)

rewrite217.0ms (2.6%)

eval129.0ms (1.5%)

prune81.0ms (1%)

simplify284.0ms (3.4%)

localize228.0ms (2.7%)

series149.0ms (1.8%)

simplify244.0ms (2.9%)

rewrite217.0ms (2.6%)

eval188.0ms (2.2%)

prune57.0ms (0.7%)

simplify126.0ms (1.5%)

localize105.0ms (1.3%)

series72.0ms (0.9%)

simplify270.0ms (3.2%)

rewrite172.0ms (2%)

eval277.0ms (3.3%)

prune189.0ms (2.3%)

simplify291.0ms (3.5%)

localize119.0ms (1.4%)

series77.0ms (0.9%)

simplify205.0ms (2.5%)

rewrite165.0ms (2%)

eval196.0ms (2.3%)

prune61.0ms (0.7%)

regimes58.0ms (0.7%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch26.0ms (0.3%)

bsearch20.0ms (0.2%)

bsearch23.0ms (0.3%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch8.0ms (0.1%)

bsearch37.0ms (0.4%)

simplify34.0ms (0.4%)

soundness901.0ms (10.8%)

preprocess105.0ms (1.2%)

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