Metrics for quad2m (problem 3.2.1, negative)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze141.0ms (2%)

Memory

-6.0MiB live, 185.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 12 computations (20% saved)

sample1.5s (20.6%)

Memory

75.1MiB live, 1 764.3MiB allocated

Samples

474.0ms	5 797×	0	valid
249.0ms	1 021×	2	valid
199.0ms	1 438×	1	valid
114.0ms	1 032×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 680.0ms

ival-sub: 146.0ms (21.5% of total)

ival-mult: 135.0ms (19.8% of total)

ival-div: 123.0ms (18.1% of total)

ival-sqrt: 120.0ms (17.6% of total)

ival-neg: 94.0ms (13.8% of total)

adjust: 52.0ms (7.6% of total)

ival-true: 7.0ms (1% of total)

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

Bogosity

explain179.0ms (2.5%)

Memory

-17.7MiB live, 306.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
99	-	1	(-1.6235964365736605e-219 7.659222932976475e-156 -2.822992343210826e-245)	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
52	-	0	-	`(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
20	-	1	(2.4321970801065e-231 -9.964018312537891e+148 -2.7756818668118887e+60)	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
5	-	0	-	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`
0	-	0	-	`(*.f64 b_2 b_2)`
0	-	0	-	`a`
0	-	0	-	`(neg.f64 b_2)`
0	-	0	-	`b_2`
0	-	0	-	`(*.f64 a c)`
0	-	0	-	`c`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	oflow-rescue	93	0
↳	`(*.f64 b_2 b_2)`	overflow	79
↳	`(*.f64 a c)`	overflow	22
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	overflow	93
`-.f64`	`(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	cancellation	52	0
`/.f64`	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`	u/n	19	0
↳	`(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	underflow	25
↳	`(*.f64 b_2 b_2)`	underflow	47
↳	`(*.f64 a c)`	underflow	33
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	5
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	uflow-rescue	5	0
↳	`(*.f64 b_2 b_2)`	underflow	47
↳	`(*.f64 a c)`	underflow	33
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	5
`-.f64`	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	nan-rescue	5	0
↳	`(*.f64 b_2 b_2)`	overflow	79
↳	`(*.f64 a c)`	overflow	22

Confusion

	Predicted +	Predicted -
+	119	1
-	16	120

Precision

0.8814814814814815

Recall

0.9916666666666667

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	119	0	1
-	16	0	120

Precision?

0.8814814814814815

Recall?

0.9916666666666667

Freqs

test

number	freq
0	121
1	99
2	33
3	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

45.0ms	66×	2	valid
30.0ms	384×	0	valid
9.0ms	62×	1	valid

Compiler

Compiled 167 to 44 computations (73.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-sub: 7.0ms (22.5% of total)

ival-mult: 7.0ms (22.5% of total)

ival-sqrt: 6.0ms (19.2% of total)

ival-div: 5.0ms (16% of total)

adjust: 3.0ms (9.6% of total)

ival-neg: 2.0ms (6.4% of total)

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

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

preprocess120.0ms (1.7%)

Memory

-4.5MiB live, 75.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.5%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify24.0ms (0.3%)

Memory

12.4MiB live, 12.4MiB 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

localize37.0ms (0.5%)

Memory

2.0MiB live, 39.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	1.0039062500000002	(-.f64 (.f64 b_2 b_2) (.f64 a c))
accuracy	4.685448788684998	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
accuracy	11.377347010983685	(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
accuracy	22.900301563199562	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Samples

19.0ms	192×	0	valid
7.0ms	33×	2	valid
4.0ms	31×	1	valid

Compiler

Compiled 102 to 22 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-sub: 4.0ms (26.3% of total)

ival-sqrt: 3.0ms (19.7% of total)

ival-div: 3.0ms (19.7% of total)

ival-mult: 3.0ms (19.7% of total)

adjust: 1.0ms (6.6% of total)

ival-neg: 1.0ms (6.6% of total)

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

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

series25.0ms (0.4%)

Memory

-12.3MiB live, 25.5MiB 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
3.0ms	c	@	-inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
3.0ms	a	@	inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
2.0ms	c	@	inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
2.0ms	a	@	-inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
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)))

simplify162.0ms (2.3%)

Memory

-22.0MiB live, 153.2MiB 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)

rewrite178.0ms (2.5%)

Memory

-28.1MiB live, 131.5MiB 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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eval87.0ms (1.2%)

Memory: 17.1MiB live, 129.7MiB allocated
Compiler: Compiled 17 104 to 2 072 computations (87.9% saved)

prune23.0ms (0.3%)

Memory

-9.8MiB live, 67.3MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	579	14	593
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	579	15	594

Accuracy

94.0%

Counts

594 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	20.5%	(/.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))
	25.2%	(/.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)
✓	56.5%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	36.0%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
	8.7%	(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (neg.f64 b_2))) a)
	25.3%	(/.f64 (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
	39.9%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (fma.f64 (.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) c (.f64 b_2 #s(literal -2 binary64)))) a)
▶	21.9%	(/.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)
	40.0%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
	25.4%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
▶	25.4%	(.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2))
▶	40.1%	#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))))
	26.9%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (*.f64 c #s(literal 1/2 binary64))) (neg.f64 b_2)))
	16.2%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.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)))
▶	31.4%	#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 431 to 320 computations (25.8% saved)

simplify269.0ms (3.8%)

Memory

40.7MiB live, 157.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2) a)
cost-diff	0	(*.f64 b_2 b_2)
cost-diff	0	(fma.f64 c a (*.f64 b_2 b_2))
cost-diff	64	(fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))
cost-diff	0	(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 (/.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	37	274
0	59	274
1	104	273
2	199	273
3	365	272
4	554	272
5	1162	272
6	2769	272
7	4144	272
8	4947	272
9	5060	272
10	5077	272
11	5088	272
12	5098	272
13	5134	272
14	5150	272
15	5150	272
16	5598	270
17	7536	270
0	8226	268

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

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

localize132.0ms (1.9%)

Memory

-14.2MiB live, 187.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.03125	(.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2) a)
accuracy	0.24999724760556022	(fma.f64 c a (*.f64 b_2 b_2))
accuracy	3.8197268156045356	(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
accuracy	7.05654905593543	(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a))
accuracy	0	(neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))
accuracy	0.09375	(.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2))
accuracy	0.24999724760556022	(fma.f64 c a (*.f64 b_2 b_2))
accuracy	3.8197268156045356	(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	0.0703125	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
accuracy	3.349531310961132	(.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
accuracy	19.639653538916676	#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	19.61475268067882	#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	0.00390625	(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
accuracy	0.08984375	(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
accuracy	19.60923701485709	#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

74.0ms	175×	0	invalid
33.0ms	81×	0	valid

Compiler

Compiled 485 to 66 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-div: 22.0ms (37% of total)

ival-mult: 20.0ms (33.6% of total)

ival-neg: 7.0ms (11.8% of total)

ival-add: 4.0ms (6.7% of total)

ival-sub: 4.0ms (6.7% of total)

ival-sqrt: 4.0ms (6.7% of total)

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

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

exact: 0.0ms (0% of total)

series106.0ms (1.5%)

Memory

25.1MiB live, 203.4MiB allocated

Counts

21 → 636

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

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

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	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) (- (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)))) (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (+ (* c a) (* b_2 b_2)) (* b_2 b_2) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a) (neg (+ (* c a) (* b_2 b_2))) (/ (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a)))
16.0ms	b_2	@	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) (- (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)))) (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (+ (* c a) (* b_2 b_2)) (* b_2 b_2) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a) (neg (+ (* c a) (* b_2 b_2))) (/ (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a)))
12.0ms	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) (- (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)))) (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (+ (* c a) (* b_2 b_2)) (* b_2 b_2) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a) (neg (+ (* c a) (* b_2 b_2))) (/ (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a)))
6.0ms	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) (- (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)))) (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (+ (* c a) (* b_2 b_2)) (* b_2 b_2) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a) (neg (+ (* c a) (* b_2 b_2))) (/ (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a)))
6.0ms	c	@	-inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 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) (- (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)))) (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (+ (* c a) (* b_2 b_2)) (* b_2 b_2) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a) (neg (+ (* c a) (* b_2 b_2))) (/ (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (* (- (sqrt (neg (+ (* c a) (* b_2 b_2)))) b_2) a)))

simplify206.0ms (2.9%)

Memory

-6.2MiB live, 306.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1371	12945
1	4556	12617
0	8458	12166

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 636

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

Outputs
(* -2 (/ b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
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(.f64 (fma.f64 (/.f64 a b_2) (/.f64 c b_2) #s(literal 2 binary64)) (.f64 b_2 b_2))
(* (pow b_2 2) (+ 2 (/ (* a c) (pow b_2 2))))
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(pow b_2 2)
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(* (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))
(pow b_2 2)
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(pow b_2 2)
(*.f64 b_2 b_2)
(pow b_2 2)
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(pow b_2 2)
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(* -1 (* a (* b_2 (+ 1 (sqrt -1)))))
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) b_2 b_2)) a)
(* -1 (* b_2 (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* a (+ 1 (sqrt -1))))))
(.f64 (neg.f64 b_2) (fma.f64 (.f64 (/.f64 (.f64 (.f64 a a) c) b_2) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) a a)))
(* -1 (* b_2 (+ (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* a (+ 1 (sqrt -1)))))))
(.f64 (neg.f64 b_2) (fma.f64 (/.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))) #s(literal -1/8 binary64) (fma.f64 (.f64 (/.f64 (.f64 (*.f64 a a) c) b_2) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) a a))))
(* -1 (* b_2 (+ (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 4) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* a (+ 1 (sqrt -1))))))))
(.f64 (neg.f64 b_2) (fma.f64 (/.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))) #s(literal -1/8 binary64) (fma.f64 (/.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))) #s(literal 1/16 binary64) (fma.f64 (.f64 (/.f64 (.f64 (*.f64 a a) c) b_2) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) a a)))))
(* -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))
(* -2 (/ b_2 (* a (+ 1 (sqrt -1)))))
(*.f64 (/.f64 b_2 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) a a)) #s(literal -2 binary64))
(* -1 (* b_2 (- (+ (* 2 (/ 1 (* a (+ 1 (sqrt -1))))) (/ c (* (pow b_2 2) (+ 1 (sqrt -1))))) (/ (* c (sqrt -1)) (* (pow b_2 2) (pow (+ 1 (sqrt -1)) 2))))))
(.f64 (neg.f64 b_2) (-.f64 (+.f64 (/.f64 (/.f64 c (.f64 b_2 b_2)) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) a a))) (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (/.f64 c b_2)) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))))
(* -1 (* b_2 (- (+ (* -1 (/ (+ (* -1/4 (/ (* a (* (pow c 2) (sqrt -1))) (pow (+ 1 (sqrt -1)) 2))) (* 1/2 (/ (* a (* c (* (sqrt -1) (- (/ c (+ 1 (sqrt -1))) (/ (* c (sqrt -1)) (pow (+ 1 (sqrt -1)) 2)))))) (+ 1 (sqrt -1))))) (pow b_2 4))) (+ (* 2 (/ 1 (* a (+ 1 (sqrt -1))))) (/ c (* (pow b_2 2) (+ 1 (sqrt -1)))))) (/ (* c (sqrt -1)) (* (pow b_2 2) (pow (+ 1 (sqrt -1)) 2))))))
(.f64 (neg.f64 b_2) (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 c (.f64 b_2 b_2)) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) a 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)))))
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rewrite192.0ms (2.7%)

Memory

-38.0MiB live, 232.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	215
0	59	215
1	222	214
2	1608	214
0	8192	214

Stop Event

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

Counts

21 → 720

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

Outputs
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eval230.0ms (3.3%)

Memory: 30.1MiB live, 247.7MiB allocated
Compiler: Compiled 48 311 to 4 700 computations (90.3% saved)

prune113.0ms (1.6%)

Memory

-7.0MiB live, 121.3MiB allocated

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	1 784	15	1 799
Fresh	2	7	9
Picked	3	2	5
Done	0	1	1
Total	1 789	25	1 814

Accuracy

94.0%

Counts

1 814 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.2%	(/.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)
✓	56.5%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	36.0%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
	8.7%	(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (neg.f64 b_2))) a)
	25.3%	(/.f64 (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
▶	21.0%	(/.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)
▶	20.5%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) a)
	21.9%	(/.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)
▶	40.0%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
	20.5%	(/.f64 #s(approx (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (.f64 c a)) (.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a))
	25.4%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
	26.3%	(.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))
	21.9%	(.f64 (neg.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))) (/.f64 #s(literal -1 binary64) a))
	11.4%	(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)))
✓	40.1%	#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))))
	39.0%	#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))))
	15.0%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.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 #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)))
	26.9%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (*.f64 c #s(literal 1/2 binary64))) (neg.f64 b_2)))
	26.1%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (.f64 c #s(literal 1/2 binary64)) a (.f64 b_2 (.f64 #s(literal -2 binary64) b_2))) (.f64 b_2 a)))
	31.3%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
	38.7%	#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))
	31.2%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2)))
✓	31.4%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
	13.4%	#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)))))
▶	8.4%	#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 618 to 515 computations (16.7% saved)

simplify278.0ms (3.9%)

Memory

-6.5MiB live, 122.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 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	(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)
cost-diff	0	#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c))
cost-diff	0	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) a)
cost-diff	384	(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a))
cost-diff	0	(.f64 (.f64 #s(literal -1/2 binary64) a) c)
cost-diff	0	(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2)
cost-diff	0	#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2))
cost-diff	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)
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	(*.f64 b_2 #s(literal -2 binary64))
cost-diff	0	#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))
cost-diff	0	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	300
0	64	300
1	112	298
2	200	296
3	418	296
4	1164	296
5	4127	296
6	5522	296
7	6275	296
8	6617	296
9	6678	296
10	6737	296
11	7889	296
0	8329	294

Stop Event

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

Calls

Call 1

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

localize89.0ms (1.3%)

Memory

11.5MiB live, 50.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0703125	(/.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	0.24999724760556022	(fma.f64 c a (*.f64 b_2 b_2))
accuracy	3.8197268156045356	(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
accuracy	3.9173830656045356	(/.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	0.0703125	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) a)
accuracy	0.07421875	(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a))
accuracy	3.349531310961132	(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)
accuracy	19.639653538916676	#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c))
accuracy	0	(*.f64 #s(literal -1/2 binary64) a)
accuracy	0.0703125	(/.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)
accuracy	1.0133243226831483	(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2)
accuracy	19.639653538916676	#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2))
accuracy	0	(/.f64 c b_2)
accuracy	0	(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
accuracy	0	#s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
accuracy	19.60923701485709	#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	(*.f64 b_2 #s(literal -2 binary64))
accuracy	0.0703125	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
accuracy	19.590745487951892	#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))

Samples

49.0ms	175×	0	invalid
18.0ms	81×	0	valid

Compiler

Compiled 446 to 66 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 15.0ms (37.1% of total)

ival-div: 13.0ms (32.1% of total)

ival-sub: 4.0ms (9.9% of total)

ival-sqrt: 4.0ms (9.9% of total)

ival-add: 2.0ms (4.9% of total)

ival-neg: 2.0ms (4.9% of total)

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

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

exact: 0.0ms (0% of total)

series77.0ms (1.1%)

Memory

-0.8MiB live, 38.3MiB allocated

Counts

23 → 708

Calls

Call 1

Inputs
#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a) #<representation binary64>) () ())
#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 b_2 #s(literal -2 binary64)) (patch (.f64 b_2 #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #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 (.f64 #s(literal -1/2 binary64) a) c) b_2)) a) (patch (/.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) #<representation binary64>) () ())
#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2)) (patch #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2) (patch (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal -1/2 binary64) a) c) (patch (.f64 (.f64 #s(literal -1/2 binary64) a) c) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) (patch (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) a) #<representation binary64>) () ())
#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c) (patch (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c) #<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 (.f64 #s(literal -1/2 binary64) a) (patch (.f64 #s(literal -1/2 binary64) 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>) () ())
#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 a)) (taylor 0 a) (#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) (taylor 0 a) (#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a) (taylor 0 a) (#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a) (taylor 0 a) (#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* -2 b_2) (taylor 0 a) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ (* a c) b_2)) (* 2 b_2)) (taylor 0 a) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2)) (taylor 0 a) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2)) (taylor 0 a) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ b_2 a)) (taylor 0 a) (#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #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 (/ (+ (* -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 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 (/ (+ (* -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 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 (/ (+ (* -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 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 (* -2 (/ b_2 a)) (taylor 0 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) (* 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 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) (* 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 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) (* 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 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)) (taylor 0 a) (#s(alt (/.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) (patch (/.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) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) (taylor 0 a) (#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2)) a) (patch (/.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) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a) (taylor 0 a) (#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2)) a) (patch (/.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) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a) (taylor 0 a) (#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2)) a) (patch (/.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) #<representation binary64>) () ())) ())
#s(alt (* -2 b_2) (taylor 0 a) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2)) (patch #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) 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 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2)) (patch #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) 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 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2)) (patch #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2)) #<representation binary64>) () ())) ())
#s(alt (- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2)) (taylor 0 a) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2)) (patch #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor 0 a) (#s(alt (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2) (patch (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor 0 a) (#s(alt (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2) (patch (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor 0 a) (#s(alt (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2) (patch (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor 0 a) (#s(alt (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2) (patch (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a c)) (taylor 0 a) (#s(alt (.f64 (.f64 #s(literal -1/2 binary64) a) c) (patch (.f64 (.f64 #s(literal -1/2 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a c)) (taylor 0 a) (#s(alt (.f64 (.f64 #s(literal -1/2 binary64) a) c) (patch (.f64 (.f64 #s(literal -1/2 binary64) a) c) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* a c)) (taylor 0 a) (#s(alt (.f64 (.f64 #s(literal -1/2 binary64) a) c) (patch (.f64 (.f64 #s(literal -1/2 binary64) a) c) #<representation binary64>) () ())) ())
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#s(alt (* -2 (/ b_2 a)) (taylor 0 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 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>) () ())) ())
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#s(alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c))))) (taylor inf c) (#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 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 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 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 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) 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 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) 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 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) (taylor inf c) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 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 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor inf c) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c) (patch (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor inf c) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c) (patch (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor inf c) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c) (patch (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor inf c) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c) (patch (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c) #<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 (* (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 (* 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 (* (sqrt (/ c a)) (sqrt -1)) (taylor -inf c) (#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c))))) (taylor -inf c) (#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c))))) (taylor -inf c) (#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c))))) (taylor -inf c) (#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -1)) (taylor -inf c) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1))))) (taylor -inf c) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) (taylor -inf c) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) (taylor -inf c) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor -inf c) (#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #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 (* 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 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 (* 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 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>) () ())) ())
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#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 (* (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 (* 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 a)) (taylor inf b_2) (#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))) (taylor inf b_2) (#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* 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 (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* 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 (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* -2 b_2) (taylor inf b_2) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2)) (taylor inf b_2) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))))) (taylor inf b_2) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 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))))))) (taylor inf b_2) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 b_2) (taylor inf b_2) (#s(alt (.f64 b_2 #s(literal -2 binary64)) (patch (.f64 b_2 #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 b_2) (taylor inf b_2) (#s(alt (.f64 b_2 #s(literal -2 binary64)) (patch (.f64 b_2 #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 b_2) (taylor inf b_2) (#s(alt (.f64 b_2 #s(literal -2 binary64)) (patch (.f64 b_2 #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 b_2) (taylor inf b_2) (#s(alt (.f64 b_2 #s(literal -2 binary64)) (patch (.f64 b_2 #s(literal -2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* -1/2 (/ (* a c) b_2)) (taylor -inf b_2) (#s(alt (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2) (patch (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor -inf b_2) (#s(alt (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2) (patch (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor -inf b_2) (#s(alt (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2) (patch (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ a b_2)) (taylor -inf b_2) (#s(alt (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) (patch (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ a b_2)) (taylor -inf b_2) (#s(alt (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) (patch (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ a b_2)) (taylor -inf b_2) (#s(alt (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) (patch (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ a b_2)) (taylor -inf b_2) (#s(alt (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) (patch (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b_2)) (taylor -inf b_2) (#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)) (taylor -inf b_2) (#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2)) (taylor -inf b_2) (#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2)) (taylor -inf b_2) (#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) a) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor -inf b_2) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2)) (taylor -inf b_2) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2)) (taylor -inf b_2) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)) (taylor -inf b_2) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor -inf b_2) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c) (patch (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor -inf b_2) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c) (patch (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor -inf b_2) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c) (patch (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor -inf b_2) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c) (patch (.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (+ 1 (/ 1 (sqrt -1))))) (taylor -inf 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 (+ (* 1/2 (/ (* a c) (* (pow b_2 2) (sqrt -1)))) (/ 1 (sqrt -1)))))) (taylor -inf 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 (+ (* -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))))))) (taylor -inf 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 (+ (* 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)))))))) (taylor -inf 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 -inf b_2) (#s(alt (neg.f64 b_2) (patch (neg.f64 b_2) #<representation binary64>) () ())) ())
#s(alt (* -1 b_2) (taylor -inf b_2) (#s(alt (neg.f64 b_2) (patch (neg.f64 b_2) #<representation binary64>) () ())) ())
#s(alt (* -1 b_2) (taylor -inf b_2) (#s(alt (neg.f64 b_2) (patch (neg.f64 b_2) #<representation binary64>) () ())) ())
#s(alt (* -1 b_2) (taylor -inf b_2) (#s(alt (neg.f64 b_2) (patch (neg.f64 b_2) #<representation binary64>) () ())) ())
#s(alt (/ 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 (* -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>) () ())) ())
#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
23.0ms	c	@	-inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* b_2 -2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 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)))) (/ (* (* -1/2 a) c) b_2) (* (* -1/2 a) c) (/ -1/2 (/ b_2 a)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (/ -1/2 (/ b_2 a)) c) (- (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))) (* -1/2 a) (sqrt (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	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* b_2 -2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 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)))) (/ (* (* -1/2 a) c) b_2) (* (* -1/2 a) c) (/ -1/2 (/ b_2 a)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (/ -1/2 (/ b_2 a)) c) (- (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))) (* -1/2 a) (sqrt (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	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* b_2 -2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 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)))) (/ (* (* -1/2 a) c) b_2) (* (* -1/2 a) c) (/ -1/2 (/ b_2 a)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (/ -1/2 (/ b_2 a)) c) (- (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))) (* -1/2 a) (sqrt (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	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* b_2 -2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 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)))) (/ (* (* -1/2 a) c) b_2) (* (* -1/2 a) c) (/ -1/2 (/ b_2 a)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (/ -1/2 (/ b_2 a)) c) (- (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))) (* -1/2 a) (sqrt (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	c	@	inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* b_2 -2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 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)))) (/ (* (* -1/2 a) c) b_2) (* (* -1/2 a) c) (/ -1/2 (/ b_2 a)) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (/ -1/2 (/ b_2 a)) c) (- (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))) (* -1/2 a) (sqrt (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))

simplify320.0ms (4.5%)

Memory

14.9MiB live, 174.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	985	12528
1	3262	12256
0	8585	11788

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 708

Calls

Call 1

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

rewrite202.0ms (2.9%)

Memory

2.0MiB live, 160.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	277
0	64	269
1	239	267
2	1628	253
0	9018	251

Stop Event

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

Counts

23 → 822

Calls

Call 1

Inputs
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))
(*.f64 b_2 #s(literal -2 binary64))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #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 (.f64 #s(literal -1/2 binary64) a) c) b_2)) a)
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2)
(.f64 (.f64 #s(literal -1/2 binary64) a) c)
(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a))
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) a)
#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c))
(*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)
(-.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)))
(*.f64 #s(literal -1/2 binary64) a)
(sqrt.f64 (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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eval300.0ms (4.3%)

Memory: -2.5MiB live, 348.7MiB allocated
Compiler: Compiled 42 774 to 4 621 computations (89.2% saved)

prune75.0ms (1.1%)

Memory

-19.0MiB live, 180.0MiB allocated

Pruning

29 alts after pruning (23 fresh and 6 done)

	Pruned	Kept	Total
New	1 750	7	1 757
Fresh	1	16	17
Picked	2	3	5
Done	0	3	3
Total	1 753	29	1 782

Accuracy

94.0%

Counts

1 782 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.1%	(/.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)
✓	56.5%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	36.0%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
	8.7%	(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (neg.f64 b_2))) a)
▶	25.3%	(/.f64 (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
✓	21.0%	(/.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)
✓	20.5%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) a)
▶	21.9%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)) a)
✓	40.0%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
	20.5%	(/.f64 #s(approx (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (.f64 c a)) (.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a))
	25.4%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
	39.9%	(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
▶	39.9%	(.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))
	26.3%	(.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))
▶	21.9%	(.f64 (neg.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))) (/.f64 #s(literal -1 binary64) a))
	11.4%	(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)))
	22.8%	(exp.f64 (.f64 (log.f64 (/.f64 a #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64)))
✓	40.1%	#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))))
	39.0%	#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))))
	15.0%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.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 #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)))
	26.9%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (*.f64 c #s(literal 1/2 binary64))) (neg.f64 b_2)))
	26.1%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (.f64 c #s(literal 1/2 binary64)) a (.f64 b_2 (.f64 #s(literal -2 binary64) b_2))) (.f64 b_2 a)))
	31.3%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
	38.7%	#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))
	31.2%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2)))
✓	31.4%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
	13.4%	#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)))))
▶	8.4%	#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)))
	4.7%	#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 (exp.f64 (.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))) #s(literal 1/2 binary64))))

Compiler

Compiled 662 to 578 computations (12.7% saved)

simplify108.0ms (1.5%)

Memory

24.6MiB live, 142.7MiB 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	64	(fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))
cost-diff	128	(/.f64 (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
cost-diff	512	(.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a))
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	(neg.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)))
cost-diff	448	(.f64 (neg.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))) (/.f64 #s(literal -1 binary64) a))
cost-diff	0	(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a)
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)
cost-diff	0	#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c))
cost-diff	0	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)) a)
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 #s(literal -2 binary64) b_2)
cost-diff	0	#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
cost-diff	0	(pow.f64 a #s(literal -1 binary64))
cost-diff	6080	(.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	335
0	71	332
1	131	332
2	247	328
3	441	326
4	816	326
5	1720	322
6	5186	322
7	7673	322
0	8059	318

Stop Event

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

Calls

Call 1

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

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

localize120.0ms (1.7%)

Memory

-10.1MiB live, 207.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0703125	(/.f64 (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
accuracy	0.24999724760556022	(fma.f64 c a (*.f64 b_2 b_2))
accuracy	3.811012989664261	(.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a))
accuracy	3.8197268156045356	(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
accuracy	0	(neg.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)))
accuracy	0.09375	(.f64 (neg.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))) (/.f64 #s(literal -1 binary64) a))
accuracy	3.349531310961132	(.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
accuracy	19.639653538916676	#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	0.06640625	(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a)
accuracy	0.0703125	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)) a)
accuracy	3.349531310961132	(.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)
accuracy	19.639653538916676	#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c))
accuracy	0	(/.f64 #s(literal 1/2 binary64) b_2)
accuracy	0	#s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))
accuracy	0.08984375	(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
accuracy	19.60923701485709	#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	(pow.f64 a #s(literal -1 binary64))
accuracy	0	(*.f64 #s(literal -2 binary64) b_2)
accuracy	0.09375	(.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))
accuracy	19.590745487951892	#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))

Samples

63.0ms	175×	0	invalid
22.0ms	81×	0	valid

Compiler

Compiled 499 to 76 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 23.0ms (37.8% of total)

ival-div: 12.0ms (19.7% of total)

ival-pow: 12.0ms (19.7% of total)

ival-sub: 4.0ms (6.6% of total)

ival-add: 3.0ms (4.9% of total)

ival-sqrt: 3.0ms (4.9% of total)

ival-neg: 3.0ms (4.9% of total)

exact: 1.0ms (1.6% of total)

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

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

series101.0ms (1.4%)

Memory

-26.9MiB live, 131.8MiB allocated

Counts

21 → 660

Calls

Call 1

Inputs
#s(alt (.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (patch (.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #<representation binary64>) () ())
#s(alt (pow.f64 a #s(literal -1 binary64)) (patch (pow.f64 a #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -2 binary64) b_2) (patch (.f64 #s(literal -2 binary64) b_2) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #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 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)) a) #<representation binary64>) () ())
#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)) (patch #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c) (patch (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) (patch (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) #<representation binary64>) () ())
#s(alt (.f64 (neg.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))) (/.f64 #s(literal -1 binary64) a)) (patch (.f64 (neg.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))) (/.f64 #s(literal -1 binary64) a)) #<representation binary64>) () ())
#s(alt (neg.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))) (patch (neg.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))) #<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 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) (patch (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (patch (/.f64 (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())
#s(alt (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (patch (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())
#s(alt (fma.f64 c a (.f64 b_2 b_2)) (patch (fma.f64 c a (.f64 b_2 b_2)) #<representation binary64>) () ())
#s(alt (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 (.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (patch (.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) (taylor 0 a) (#s(alt (.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (patch (.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #<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 (pow.f64 a #s(literal -1 binary64)) #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (patch (.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #<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 (pow.f64 a #s(literal -1 binary64)) #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (patch (.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #<representation binary64>) () ())) ())
#s(alt (/ 1 a) (taylor 0 a) (#s(alt (pow.f64 a #s(literal -1 binary64)) (patch (pow.f64 a #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 a) (taylor 0 a) (#s(alt (pow.f64 a #s(literal -1 binary64)) (patch (pow.f64 a #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 a) (taylor 0 a) (#s(alt (pow.f64 a #s(literal -1 binary64)) (patch (pow.f64 a #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 a) (taylor 0 a) (#s(alt (pow.f64 a #s(literal -1 binary64)) (patch (pow.f64 a #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 b_2) (taylor 0 a) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ (* a c) b_2)) (* 2 b_2)) (taylor 0 a) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())) ())
#s(alt (- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2)) (taylor 0 a) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())) ())
#s(alt (- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2)) (taylor 0 a) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ b_2 a)) (taylor 0 a) (#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #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 (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) (taylor 0 a) (#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a) (taylor 0 a) (#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a) (taylor 0 a) (#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)) a) #<representation binary64>) () ())) ())
#s(alt (* -2 b_2) (taylor 0 a) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)) (patch #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ (* a c) b_2)) (* 2 b_2)) (taylor 0 a) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)) (patch #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) 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 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)) (patch #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) 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 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)) (patch #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor 0 a) (#s(alt (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c) (patch (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor 0 a) (#s(alt (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c) (patch (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor 0 a) (#s(alt (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c) (patch (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor 0 a) (#s(alt (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c) (patch (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ a b_2)) (taylor 0 a) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) (patch (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ a b_2)) (taylor 0 a) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) (patch (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ a b_2)) (taylor 0 a) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) (patch (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ a b_2)) (taylor 0 a) (#s(alt (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) (patch (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ b_2 a)) (taylor 0 a) (#s(alt (.f64 (neg.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))) (/.f64 #s(literal -1 binary64) a)) (patch (.f64 (neg.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))) (/.f64 #s(literal -1 binary64) a)) #<representation binary64>) () ())) ())
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#s(alt (+ (* 2 b_2) (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) (taylor 0 a) (#s(alt (neg.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))) (patch (neg.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))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 b_2) (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))) (taylor 0 a) (#s(alt (neg.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))) (patch (neg.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))) #<representation binary64>) () ())) ())
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#s(alt (- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2)) (taylor 0 a) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) (patch #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) #<representation binary64>) () ())) ())
#s(alt (- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2)) (taylor 0 a) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) (patch #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor 0 a) (#s(alt (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c) (patch (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor 0 a) (#s(alt (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c) (patch (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor 0 a) (#s(alt (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c) (patch (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor 0 a) (#s(alt (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c) (patch (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (pow b_2 2) a)) (taylor 0 a) (#s(alt (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) (patch (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (pow b_2 2)) (* -1 (* a c))) a) (taylor 0 a) (#s(alt (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) (patch (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (pow b_2 2)) (* -1 (* a c))) a) (taylor 0 a) (#s(alt (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) (patch (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (pow b_2 2)) (* -1 (* a c))) a) (taylor 0 a) (#s(alt (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) (patch (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (pow b_2 2) (* a (- b_2 (* b_2 (sqrt -1)))))) (taylor 0 a) (#s(alt (/.f64 (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (patch (/.f64 (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (pow b_2 2) (- b_2 (* b_2 (sqrt -1))))) (* -1 (* a (- (/ c (- b_2 (* b_2 (sqrt -1)))) (* -1 (/ (* b_2 (* c (sqrt -1))) (pow (- b_2 (* b_2 (sqrt -1))) 2))))))) a) (taylor 0 a) (#s(alt (/.f64 (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (patch (/.f64 (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (pow b_2 2) (- b_2 (* b_2 (sqrt -1))))) (* a (+ (* -1 (- (/ c (- b_2 (* b_2 (sqrt -1)))) (* -1 (/ (* b_2 (* c (sqrt -1))) (pow (- b_2 (* b_2 (sqrt -1))) 2))))) (* a (+ (* -1/2 (/ (* c (* (sqrt -1) (- (/ c (- b_2 (* b_2 (sqrt -1)))) (* -1 (/ (* b_2 (* c (sqrt -1))) (pow (- b_2 (* b_2 (sqrt -1))) 2)))))) (* b_2 (- b_2 (* b_2 (sqrt -1)))))) (* 1/4 (/ (* (pow c 2) (sqrt -1)) (* b_2 (pow (- b_2 (* b_2 (sqrt -1))) 2))))))))) a) (taylor 0 a) (#s(alt (/.f64 (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (patch (/.f64 (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (pow b_2 2) (- b_2 (* b_2 (sqrt -1))))) (* a (+ (* -1 (- (/ c (- b_2 (* b_2 (sqrt -1)))) (* -1 (/ (* b_2 (* c (sqrt -1))) (pow (- b_2 (* b_2 (sqrt -1))) 2))))) (* a (+ (* -1/2 (/ (* c (* (sqrt -1) (- (/ c (- b_2 (* b_2 (sqrt -1)))) (* -1 (/ (* b_2 (* c (sqrt -1))) (pow (- b_2 (* b_2 (sqrt -1))) 2)))))) (* b_2 (- b_2 (* b_2 (sqrt -1)))))) (+ (* 1/4 (/ (* (pow c 2) (sqrt -1)) (* b_2 (pow (- b_2 (* b_2 (sqrt -1))) 2)))) (* a (+ (* -1/8 (/ (* (pow c 3) (sqrt -1)) (* (pow b_2 3) (pow (- b_2 (* b_2 (sqrt -1))) 2)))) (+ (* 1/8 (/ (* (pow c 2) (* (sqrt -1) (- (/ c (- b_2 (* b_2 (sqrt -1)))) (* -1 (/ (* b_2 (* c (sqrt -1))) (pow (- b_2 (* b_2 (sqrt -1))) 2)))))) (* (pow b_2 3) (- b_2 (* b_2 (sqrt -1)))))) (* 1/2 (/ (* c (* (sqrt -1) (+ (* -1/2 (/ (* c (* (sqrt -1) (- (/ c (- b_2 (* b_2 (sqrt -1)))) (* -1 (/ (* b_2 (* c (sqrt -1))) (pow (- b_2 (* b_2 (sqrt -1))) 2)))))) (* b_2 (- b_2 (* b_2 (sqrt -1)))))) (* 1/4 (/ (* (pow c 2) (sqrt -1)) (* b_2 (pow (- b_2 (* b_2 (sqrt -1))) 2))))))) (* b_2 (- b_2 (* b_2 (sqrt -1))))))))))))))) a) (taylor 0 a) (#s(alt (/.f64 (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (patch (/.f64 (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow b_2 2)) (taylor 0 a) (#s(alt (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (patch (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow b_2 2)) (* a c)) (taylor 0 a) (#s(alt (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (patch (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow b_2 2)) (* a c)) (taylor 0 a) (#s(alt (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (patch (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow b_2 2)) (* a c)) (taylor 0 a) (#s(alt (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (patch (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (pow b_2 2) (taylor 0 a) (#s(alt (fma.f64 c a (.f64 b_2 b_2)) (patch (fma.f64 c a (.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (pow b_2 2)) (taylor 0 a) (#s(alt (fma.f64 c a (.f64 b_2 b_2)) (patch (fma.f64 c a (.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (pow b_2 2)) (taylor 0 a) (#s(alt (fma.f64 c a (.f64 b_2 b_2)) (patch (fma.f64 c a (.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (pow b_2 2)) (taylor 0 a) (#s(alt (fma.f64 c a (.f64 b_2 b_2)) (patch (fma.f64 c a (.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (* b_2 (sqrt -1)) (taylor 0 a) (#s(alt (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) (patch (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) (taylor 0 a) (#s(alt (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) (patch (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) (taylor 0 a) (#s(alt (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) (patch (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) (taylor 0 a) (#s(alt (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) (patch (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor inf a) (#s(alt (.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (patch (.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) (taylor inf a) (#s(alt (.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (patch (.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #<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 (pow.f64 a #s(literal -1 binary64)) #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (patch (.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #<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 (pow.f64 a #s(literal -1 binary64)) #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (patch (.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #<representation binary64>) () ())) ())
#s(alt (/ 1 a) (taylor inf a) (#s(alt (pow.f64 a #s(literal -1 binary64)) (patch (pow.f64 a #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 a) (taylor inf a) (#s(alt (pow.f64 a #s(literal -1 binary64)) (patch (pow.f64 a #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 a) (taylor inf a) (#s(alt (pow.f64 a #s(literal -1 binary64)) (patch (pow.f64 a #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 a) (taylor inf a) (#s(alt (pow.f64 a #s(literal -1 binary64)) (patch (pow.f64 a #s(literal -1 binary64)) #<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 #s(literal -2 binary64) b_2)) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())) ())
#s(alt (* a (- (* -1 (/ 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 #s(literal -2 binary64) b_2)) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())) ())
#s(alt (* a (- (* -1/2 (* (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 #s(literal -2 binary64) b_2)) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())) ())
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#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))) (/.f64 #s(literal -1 binary64) a)) (patch (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -2 (/ (pow b_2 2) (* a (- b_2 (* b_2 (sqrt -1)))))) (* c (+ (* -1 (- (/ 1 (- b_2 (* b_2 (sqrt -1)))) (* -1 (/ (* b_2 (sqrt -1)) (pow (- b_2 (* b_2 (sqrt -1))) 2))))) (* c (+ (* -1/2 (/ (* a (* (sqrt -1) (- (/ 1 (- b_2 (* b_2 (sqrt -1)))) (* -1 (/ (* b_2 (sqrt -1)) (pow (- b_2 (* b_2 (sqrt -1))) 2)))))) (* b_2 (- b_2 (* b_2 (sqrt -1)))))) (+ (* 1/4 (/ (* a (sqrt -1)) (* b_2 (pow (- b_2 (* b_2 (sqrt -1))) 2)))) (* c (+ (* -1/8 (/ (* (pow a 2) (sqrt -1)) (* (pow b_2 3) (pow (- b_2 (* b_2 (sqrt -1))) 2)))) (+ (* 1/8 (/ (* (pow a 2) (* (sqrt -1) (- (/ 1 (- b_2 (* b_2 (sqrt -1)))) (* -1 (/ (* b_2 (sqrt -1)) (pow (- b_2 (* b_2 (sqrt -1))) 2)))))) (* (pow b_2 3) (- b_2 (* b_2 (sqrt -1)))))) (* 1/2 (/ (* a (* (sqrt -1) (+ (* -1/2 (/ (* a (* (sqrt -1) (- (/ 1 (- b_2 (* b_2 (sqrt -1)))) (* -1 (/ (* b_2 (sqrt -1)) (pow (- b_2 (* b_2 (sqrt -1))) 2)))))) (* b_2 (- b_2 (* b_2 (sqrt -1)))))) (* 1/4 (/ (* a (sqrt -1)) (* b_2 (pow (- b_2 (* b_2 (sqrt -1))) 2))))))) (* b_2 (- b_2 (* b_2 (sqrt -1))))))))))))))) (taylor 0 c) (#s(alt (/.f64 (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (patch (/.f64 (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
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#s(alt (+ (* 2 (pow b_2 2)) (* a c)) (taylor 0 c) (#s(alt (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (patch (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow b_2 2)) (* a c)) (taylor 0 c) (#s(alt (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (patch (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (pow b_2 2)) (* a c)) (taylor 0 c) (#s(alt (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (patch (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (pow b_2 2) (taylor 0 c) (#s(alt (fma.f64 c a (.f64 b_2 b_2)) (patch (fma.f64 c a (.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (pow b_2 2)) (taylor 0 c) (#s(alt (fma.f64 c a (.f64 b_2 b_2)) (patch (fma.f64 c a (.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (pow b_2 2)) (taylor 0 c) (#s(alt (fma.f64 c a (.f64 b_2 b_2)) (patch (fma.f64 c a (.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (pow b_2 2)) (taylor 0 c) (#s(alt (fma.f64 c a (.f64 b_2 b_2)) (patch (fma.f64 c a (.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (* b_2 (sqrt -1)) (taylor 0 c) (#s(alt (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) (patch (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) (taylor 0 c) (#s(alt (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) (patch (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) #<representation binary64>) () ())) ())
#s(alt (+ (* b_2 (sqrt -1)) (* c (+ (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2))))) (taylor 0 c) (#s(alt (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) (patch (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) #<representation binary64>) () ())) ())
#s(alt (+ (* b_2 (sqrt -1)) (* c (+ (* 1/2 (/ (* a (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5)))))))) (taylor 0 c) (#s(alt (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) (patch (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) #<representation binary64>) () ())) ())
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#s(alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c))))) (taylor inf c) (#s(alt (.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (patch (.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #<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 (pow.f64 a #s(literal -1 binary64)) #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (patch (.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #<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 (pow.f64 a #s(literal -1 binary64)) #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (patch (.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #<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 #s(literal -2 binary64) b_2)) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) (taylor inf c) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) (taylor inf c) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))) (taylor inf c) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (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 (* 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) #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 (* 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) #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 (* 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) #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 (* 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 (* 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 (* 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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor inf c) (#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c))))) (taylor inf c) (#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1))))))) (taylor inf c) (#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)) a) #<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 #s(literal -1/2 binary64) b_2) a) c)) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)) a) #<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 #s(literal -1/2 binary64) b_2) a) c)) (patch #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) 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 #s(literal -1/2 binary64) b_2) a) c)) (patch #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) (taylor inf c) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)) (patch #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) 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 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)) (patch #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor inf c) (#s(alt (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c) (patch (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor inf c) (#s(alt (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c) (patch (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor inf c) (#s(alt (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c) (patch (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor inf c) (#s(alt (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c) (patch (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor inf c) (#s(alt (.f64 (neg.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))) (/.f64 #s(literal -1 binary64) a)) (patch (.f64 (neg.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))) (/.f64 #s(literal -1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c))))) (taylor inf c) (#s(alt (.f64 (neg.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))) (/.f64 #s(literal -1 binary64) a)) (patch (.f64 (neg.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))) (/.f64 #s(literal -1 binary64) 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 (neg.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))) (/.f64 #s(literal -1 binary64) a)) (patch (.f64 (neg.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))) (/.f64 #s(literal -1 binary64) 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 (neg.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))) (/.f64 #s(literal -1 binary64) a)) (patch (.f64 (neg.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))) (/.f64 #s(literal -1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -1)) (taylor inf c) (#s(alt (neg.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))) (patch (neg.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))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))) (taylor inf c) (#s(alt (neg.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))) (patch (neg.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))) #<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 (neg.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))) (patch (neg.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))) #<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 (neg.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))) (patch (neg.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))) #<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 c) (taylor inf c) (#s(alt (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) (patch (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -2 (/ (pow b_2 2) (* a c))) 1)) (taylor inf c) (#s(alt (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) (patch (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -2 (/ (pow b_2 2) (* a c))) 1)) (taylor inf c) (#s(alt (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) (patch (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -2 (/ (pow b_2 2) (* a c))) 1)) (taylor inf c) (#s(alt (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) (patch (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (/ 1 (sqrt -1))) (taylor inf c) (#s(alt (/.f64 (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (patch (/.f64 (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (/ (* b_2 c) (* a (pow (sqrt -1) 2)))) c)) (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (taylor inf c) (#s(alt (/.f64 (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (patch (/.f64 (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b_2 (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (/ (* b_2 c) (* a (pow (sqrt -1) 2))))) (sqrt -1)))) (+ (* -1 (/ (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (/ (* b_2 c) (* a (pow (sqrt -1) 2)))) c)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (/ 1 (sqrt -1)))))) (taylor inf c) (#s(alt (/.f64 (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (patch (/.f64 (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b_2 (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (/ (* b_2 c) (* a (pow (sqrt -1) 2))))) (sqrt -1)))) (+ (* -1 (/ (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (/ (* b_2 c) (* a (pow (sqrt -1) 2)))) c)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* 1/2 (/ (* (pow b_2 2) (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1)))) (/ (* b_2 c) (* a (pow (sqrt -1) 2))))) (* a (pow c 2)))) (+ (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (* b_2 (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -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))) (* (sqrt (/ c a)) (/ 1 (sqrt -1)))))))) (taylor inf c) (#s(alt (/.f64 (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (patch (/.f64 (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (patch (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (* 2 (/ (pow b_2 2) c)))) (taylor inf c) (#s(alt (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (patch (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (* 2 (/ (pow b_2 2) c)))) (taylor inf c) (#s(alt (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (patch (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (* 2 (/ (pow b_2 2) c)))) (taylor inf c) (#s(alt (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (patch (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (fma.f64 c a (.f64 b_2 b_2)) (patch (fma.f64 c a (.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (pow b_2 2) c))) (taylor inf c) (#s(alt (fma.f64 c a (.f64 b_2 b_2)) (patch (fma.f64 c a (.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (pow b_2 2) c))) (taylor inf c) (#s(alt (fma.f64 c a (.f64 b_2 b_2)) (patch (fma.f64 c a (.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (pow b_2 2) c))) (taylor inf c) (#s(alt (fma.f64 c a (.f64 b_2 b_2)) (patch (fma.f64 c a (.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#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 (/ c a)) (sqrt -1)) (taylor -inf c) (#s(alt (.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (patch (.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c))))) (taylor -inf c) (#s(alt (.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (patch (.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #<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 (pow.f64 a #s(literal -1 binary64)) #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (patch (.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #<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 (pow.f64 a #s(literal -1 binary64)) #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (patch (.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -1)) (taylor -inf c) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())) ())
#s(alt (* -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 #s(literal -2 binary64) b_2)) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* 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 #s(literal -2 binary64) b_2)) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* 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 #s(literal -2 binary64) b_2)) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())) ())
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#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 (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
9.0ms	a	@	0	((* (pow a -1) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (pow a -1) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ 1/2 b_2) c) (/ 1/2 b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ -1/2 b_2) a) c) (* (/ -1/2 b_2) a) (* (neg (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ -1 a)) (neg (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (/ -1 a)) (/ (* (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (/ -1 a)) (- b_2 (sqrt (neg (+ (* c a) (* b_2 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)))))
9.0ms	c	@	0	((* (pow a -1) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (pow a -1) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ 1/2 b_2) c) (/ 1/2 b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ -1/2 b_2) a) c) (* (/ -1/2 b_2) a) (* (neg (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ -1 a)) (neg (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (/ -1 a)) (/ (* (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (/ -1 a)) (- b_2 (sqrt (neg (+ (* c a) (* b_2 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	((* (pow a -1) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (pow a -1) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ 1/2 b_2) c) (/ 1/2 b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ -1/2 b_2) a) c) (* (/ -1/2 b_2) a) (* (neg (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ -1 a)) (neg (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (/ -1 a)) (/ (* (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (/ -1 a)) (- b_2 (sqrt (neg (+ (* c a) (* b_2 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	((* (pow a -1) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (pow a -1) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ 1/2 b_2) c) (/ 1/2 b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ -1/2 b_2) a) c) (* (/ -1/2 b_2) a) (* (neg (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ -1 a)) (neg (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (/ -1 a)) (/ (* (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (/ -1 a)) (- b_2 (sqrt (neg (+ (* c a) (* b_2 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	((* (pow a -1) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (pow a -1) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ 1/2 b_2) c) (/ 1/2 b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ -1/2 b_2) a) c) (* (/ -1/2 b_2) a) (* (neg (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ -1 a)) (neg (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (/ -1 a)) (/ (* (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (/ -1 a)) (- b_2 (sqrt (neg (+ (* c a) (* b_2 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)))))

simplify234.0ms (3.3%)

Memory

31.4MiB live, 305.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1087	13513
1	3632	13106
0	8174	12639

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 660

Calls

Call 1

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

rewrite417.0ms (5.9%)

Memory

-27.4MiB live, 327.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	278
0	71	275
1	253	271
2	1732	262
0	8337	260

Stop Event

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

Counts

21 → 638

Calls

Call 1

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

Outputs
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eval222.0ms (3.1%)

Memory: 26.4MiB live, 366.6MiB allocated
Compiler: Compiled 34 804 to 3 514 computations (89.9% saved)

prune73.0ms (1%)

Memory

-22.2MiB live, 194.5MiB allocated

Pruning

29 alts after pruning (20 fresh and 9 done)

	Pruned	Kept	Total
New	1 366	6	1 372
Fresh	4	14	18
Picked	2	3	5
Done	0	6	6
Total	1 372	29	1 401

Accuracy

94.0%

Counts

1 401 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.5%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	36.0%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
	8.7%	(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (neg.f64 b_2))) a)
	25.3%	(/.f64 (.f64 #s(approx (+ ( b_2 b_2) (+ (* c a) (* b_2 b_2))) (.f64 c a)) (/.f64 #s(literal -1 binary64) a)) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))))
✓	21.0%	(/.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)
✓	20.5%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) a)
✓	21.9%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)) a)
✓	40.0%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
	20.5%	(/.f64 #s(approx (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (.f64 c a)) (.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a))
	25.6%	(/.f64 #s(approx (* (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (/ -1 a)) (neg.f64 c)) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
	39.9%	(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))))
	15.3%	(.f64 (pow.f64 (.f64 a a) #s(literal -1/2 binary64)) #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))
	39.9%	(.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))
	26.3%	(.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))
✓	21.9%	(.f64 (neg.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))) (/.f64 #s(literal -1 binary64) a))
	11.4%	(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)))
	22.8%	(exp.f64 (.f64 (log.f64 (/.f64 a #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64)))
✓	40.1%	#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))))
	15.0%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.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 #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)))
	26.9%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (*.f64 c #s(literal 1/2 binary64))) (neg.f64 b_2)))
	26.1%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (.f64 c #s(literal 1/2 binary64)) a (.f64 b_2 (.f64 #s(literal -2 binary64) b_2))) (.f64 b_2 a)))
	31.3%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
	38.7%	#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))
	31.2%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2)))
✓	31.4%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
	13.4%	#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)))))
✓	8.4%	#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)))
	4.7%	#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 (exp.f64 (.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))) #s(literal 1/2 binary64))))
	1.9%	#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 898 to 491 computations (45.3% saved)

regimes56.0ms (0.8%)

Memory

2.9MiB live, 82.6MiB allocated

Counts

43 → 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)))
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (neg.f64 b_2))) a)
(.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2)))
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a (/.f64 #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 #s(literal -1/2 binary64) b_2) a) 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 (.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 (/.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 #s(literal 1/2 binary64)) a (.f64 b_2 (.f64 #s(literal -2 binary64) b_2))) (.f64 b_2 a)))
#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 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) a)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (fma.f64 (.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) c (.f64 b_2 #s(literal -2 binary64)))) a)
(.f64 (neg.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))) (/.f64 #s(literal -1 binary64) a))
(/.f64 #s(approx (* (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (/ -1 a)) (neg.f64 c)) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 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(approx (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (.f64 c a)) (.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
#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 (.f64 #s(approx (+ ( b_2 b_2) (+ (* c a) (* b_2 b_2))) (.f64 c a)) (/.f64 #s(literal -1 binary64) a)) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))))
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a))
(/.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))) (/.f64 #s(literal -1 binary64) a)) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))
(.f64 (pow.f64 (.f64 a a) #s(literal -1/2 binary64)) #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #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)))))
(exp.f64 (.f64 (log.f64 (/.f64 a #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (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)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.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)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.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 #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)))

Outputs

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

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

#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:

16.0ms	a
14.0ms	c
12.0ms	b_2
11.0ms	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
56.5%	1	`a`
89.3%	3	`b_2`
56.5%	1	`c`
77.4%	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

16.4MiB live, 16.4MiB 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)))
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (neg.f64 b_2))) a)
(.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2)))
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a (/.f64 #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 #s(literal -1/2 binary64) b_2) a) 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 (.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 (/.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 #s(literal 1/2 binary64)) a (.f64 b_2 (.f64 #s(literal -2 binary64) b_2))) (.f64 b_2 a)))
#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 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a)) c)) a)
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (fma.f64 (.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) c (.f64 b_2 #s(literal -2 binary64)))) a)
(.f64 (neg.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))) (/.f64 #s(literal -1 binary64) a))
(/.f64 #s(approx (* (+ (* b_2 b_2) (+ (* c a) (* b_2 b_2))) (/ -1 a)) (neg.f64 c)) (-.f64 b_2 (sqrt.f64 (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) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))

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

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

Calls

1 calls:

7.0ms

b_2

Results

Accuracy	Segments	Branch
86.0%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes10.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

15 → 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)))
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (neg.f64 b_2))) a)
(.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2)))
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a (/.f64 #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 #s(literal -1/2 binary64) b_2) a) 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 (.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 (/.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 #s(literal -1/2 binary64) (/.f64 c b_2)))

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

Calls

2 calls:

5.0ms	b_2
4.0ms	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
52.7%	3	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
69.2%	2	`b_2`

Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes6.0ms (0.1%)

Memory

-28.0MiB live, 11.2MiB allocated

Counts

14 → 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)))
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (neg.f64 b_2))) a)
(.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2)))
(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a (/.f64 #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 #s(literal -1/2 binary64) b_2) a) 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 (.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 #s(literal -1/2 binary64) (/.f64 c b_2)))

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

Calls

1 calls:

6.0ms

b_2

Results

Accuracy	Segments	Branch
68.9%	2	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB 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:

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

Results

Accuracy	Segments	Branch
31.4%	1	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
31.4%	1	`a`
31.4%	1	`c`
31.4%	1	`b_2`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes7.0ms (0.1%)

Memory

-22.5MiB live, 17.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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 #s(literal 1/2 binary64) b_2) c)))

Calls

4 calls:

2.0ms	b_2
2.0ms	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
8.4%	1	`b_2`
8.4%	1	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
8.4%	1	`c`
8.4%	1	`a`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch37.0ms (0.5%)

Memory

15.9MiB live, 56.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.740983408780816e+96	6.4267464054141065e+97
19.0ms	-4.872800239692646e-26	-1.0245684671715617e-29

Samples

14.0ms	177×	0	valid
6.0ms	47×	1	valid
3.0ms	16×	2	valid
1.0ms	17×	0	invalid

Compiler

Compiled 336 to 322 computations (4.2% saved)

Precisions

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

ival-sub: 6.0ms (36.2% of total)

ival-sqrt: 3.0ms (18.1% of total)

ival-mult: 3.0ms (18.1% of total)

ival-div: 2.0ms (12.1% of total)

adjust: 1.0ms (6% of total)

ival-neg: 1.0ms (6% of total)

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

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

bsearch25.0ms (0.4%)

Memory

1.6MiB live, 40.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	2.572172068100667e-42	1.2021664062682396e-29
1.0ms	-4.872800239692646e-26	-1.0245684671715617e-29

Samples

13.0ms	160×	0	valid
2.0ms	23×	0	invalid

Compiler

Compiled 372 to 388 computations (-4.3% saved)

Precisions

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

ival-div: 4.0ms (40.1% of total)

ival-sub: 2.0ms (20% of total)

ival-mult: 2.0ms (20% of total)

ival-sqrt: 1.0ms (10% of total)

ival-neg: 1.0ms (10% of total)

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

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

bsearch30.0ms (0.4%)

Memory

4.8MiB live, 44.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	-2.2566802179156955e-306	2.744314980808055e-302

Samples

10.0ms	144×	0	valid
5.0ms	73×	0	invalid

Compiler

Compiled 169 to 187 computations (-10.7% saved)

Precisions

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

ival-mult: 3.0ms (33.4% of total)

ival-sub: 2.0ms (22.3% of total)

ival-div: 1.0ms (11.1% of total)

ival-sqrt: 1.0ms (11.1% of total)

ival-neg: 1.0ms (11.1% of total)

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

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

bsearch27.0ms (0.4%)

Memory

5.8MiB live, 44.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	-6.148958184967878e-292	-1.054014156391153e-297

Samples

10.0ms	144×	0	valid
5.0ms	76×	0	invalid

Compiler

Compiled 124 to 160 computations (-29% saved)

Precisions

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

ival-mult: 3.0ms (32.3% of total)

ival-sub: 2.0ms (21.5% of total)

ival-div: 2.0ms (21.5% of total)

ival-sqrt: 2.0ms (21.5% of total)

ival-neg: 1.0ms (10.8% of total)

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

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

simplify30.0ms (0.4%)

Memory

-12.1MiB live, 68.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	270
1	80	270
2	101	270
3	125	270
4	140	270
5	147	270
6	149	270

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -8206674233059269/713623846352979940529142984724747568191373312 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (if (<=.f64 b_2 #s(literal 64000000000000003191145854202169153088657183068061577700793147559167257542355572184605376982810624 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 -8206674233059269/713623846352979940529142984724747568191373312 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (if (<=.f64 b_2 #s(literal 3187590725001049/24519928653854221733733552434404946937899825954937634816 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 -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
(if (<=.f64 b_2 #s(literal -6244121716175847/5890680864316836766447387249177476247119386964598150177535756899376584320794655559932591384900650140340063891615625817543763223144510803885845624607194288107610698331745992221533871131893632012106238622173921469033288521558997823700137184806201826907368669534112523820726591354912103343876844956209126576528293888 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
#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 -8206674233059269/713623846352979940529142984724747568191373312 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (if (<=.f64 b_2 #s(literal 64000000000000003191145854202169153088657183068061577700793147559167257542355572184605376982810624 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 -8206674233059269/713623846352979940529142984724747568191373312 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) (if (<=.f64 b_2 #s(literal 64000000000000003191145854202169153088657183068061577700793147559167257542355572184605376982810624 binary64)) (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.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 -8206674233059269/713623846352979940529142984724747568191373312 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (if (<=.f64 b_2 #s(literal 3187590725001049/24519928653854221733733552434404946937899825954937634816 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 -8206674233059269/713623846352979940529142984724747568191373312 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) (if (<=.f64 b_2 #s(literal 3187590725001049/24519928653854221733733552434404946937899825954937634816 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 -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
(if (<=.f64 b_2 #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))))
(if (<=.f64 b_2 #s(literal -6244121716175847/5890680864316836766447387249177476247119386964598150177535756899376584320794655559932591384900650140340063891615625817543763223144510803885845624607194288107610698331745992221533871131893632012106238622173921469033288521558997823700137184806201826907368669534112523820726591354912103343876844956209126576528293888 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a))
(if (<=.f64 b_2 #s(literal -6244121716175847/5890680864316836766447387249177476247119386964598150177535756899376584320794655559932591384900650140340063891615625817543763223144510803885845624607194288107610698331745992221533871131893632012106238622173921469033288521558997823700137184806201826907368669534112523820726591354912103343876844956209126576528293888 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#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)))

soundness439.0ms (6.2%)

Memory

-14.8MiB live, 384.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	528	3105
1	1657	3067
2	5512	3045
0	8289	2913
0	43	277
0	64	269
1	239	267
2	1628	253
0	9018	251
0	1371	12945
1	4556	12617
0	8458	12166

Stop Event

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

Compiler

Compiled 211 to 140 computations (33.6% saved)

preprocess83.0ms (1.2%)

Memory: 32.7MiB live, 152.5MiB allocated
Compiler: Compiled 452 to 168 computations (62.8% 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%)

analyze141.0ms (2%)

sample1.5s (20.6%)

explain179.0ms (2.5%)

preprocess120.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify24.0ms (0.3%)

localize37.0ms (0.5%)

series25.0ms (0.4%)

simplify162.0ms (2.3%)

rewrite178.0ms (2.5%)

eval87.0ms (1.2%)

prune23.0ms (0.3%)

simplify269.0ms (3.8%)

localize132.0ms (1.9%)

series106.0ms (1.5%)

simplify206.0ms (2.9%)

rewrite192.0ms (2.7%)

eval230.0ms (3.3%)

prune113.0ms (1.6%)

simplify278.0ms (3.9%)

localize89.0ms (1.3%)

series77.0ms (1.1%)

simplify320.0ms (4.5%)

rewrite202.0ms (2.9%)

eval300.0ms (4.3%)

prune75.0ms (1.1%)

simplify108.0ms (1.5%)

localize120.0ms (1.7%)

series101.0ms (1.4%)

simplify234.0ms (3.3%)

rewrite417.0ms (5.9%)

eval222.0ms (3.1%)

prune73.0ms (1%)

regimes56.0ms (0.8%)

regimes8.0ms (0.1%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch37.0ms (0.5%)

bsearch25.0ms (0.4%)

bsearch30.0ms (0.4%)

bsearch27.0ms (0.4%)

simplify30.0ms (0.4%)

soundness439.0ms (6.2%)

preprocess83.0ms (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