Metrics for quad2p (problem 3.2.1, positive)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze116.0ms (1.4%)

Memory

-26.9MiB live, 135.2MiB 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)

sample1.6s (19%)

Memory

53.6MiB live, 1 727.0MiB allocated

Samples

458.0ms	5 496×	0	valid
264.0ms	1 210×	2	valid
169.0ms	1 354×	1	valid
86.0ms	1 070×	0	invalid
63.0ms	196×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 760.0ms

ival-sqrt: 170.0ms (22.4% of total)

ival-mult: 145.0ms (19.1% of total)

ival-add: 93.0ms (12.2% of total)

ival-neg: 93.0ms (12.2% of total)

ival-div: 92.0ms (12.1% of total)

adjust: 79.0ms (10.4% of total)

ival-sub: 77.0ms (10.1% of total)

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

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

Bogosity

explain228.0ms (2.7%)

Memory

-9.3MiB live, 198.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
99	0	-	0	-	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
55	1	(-2.0370697029356835e-99 9.74766462002801e+269 3.3169140678468935e+45)	0	-	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
19	1	(-3.31132869843288e-194 1.7662221059841008e+76 -3.550398383386196e-247)	2	(1.25688509282338e-288 4.694746658887855e-152 1.7689731441923553e-177)	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
0	0	-	0	-	`(*.f64 b_2 b_2)`
0	0	-	0	-	`a`
0	0	-	0	-	`(neg.f64 b_2)`
0	0	-	0	-	`b_2`
0	0	-	0	-	`(*.f64 a c)`
0	0	-	0	-	`c`
0	0	-	0	-	`(-.f64 (.f64 b_2 b_2) (.f64 a 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	83
↳	`(*.f64 a c)`	overflow	15
↳	`(-.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	56	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`	u/n	18	0
↳	`(*.f64 b_2 b_2)`	underflow	39
↳	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	underflow	38
↳	`(*.f64 a c)`	underflow	42
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	6
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	uflow-rescue	6	0
↳	`(*.f64 b_2 b_2)`	underflow	39
↳	`(*.f64 a c)`	underflow	42
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	6

Confusion

	Predicted +	Predicted -
+	131	0
-	13	112

Precision

0.9097222222222222

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	131	0	0
-	13	0	112

Precision?

0.9097222222222222

Recall?

1.0

Freqs

test

number	freq
0	112
1	115
2	29

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

38.0ms	326×	0	valid
36.0ms	88×	2	valid
11.0ms	78×	1	valid
5.0ms	20×	3	valid

Compiler

Compiled 120 to 34 computations (71.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-sub: 23.0ms (33.8% of total)

ival-sqrt: 20.0ms (29.4% of total)

ival-mult: 8.0ms (11.8% of total)

ival-div: 6.0ms (8.8% of total)

adjust: 5.0ms (7.4% of total)

ival-add: 4.0ms (5.9% of total)

ival-neg: 2.0ms (2.9% of total)

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

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

preprocess116.0ms (1.4%)

Memory

29.3MiB live, 68.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.2%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify53.0ms (0.6%)

Memory

-30.2MiB live, 8.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize40.0ms (0.5%)

Memory

27.4MiB live, 27.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f64 (.f64 b_2 b_2) (.f64 a c))
accuracy	4.400079528820422	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
accuracy	12.668901947885853	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
accuracy	23.13717266682006	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Samples

12.0ms	163×	0	valid
9.0ms	44×	2	valid
5.0ms	39×	1	valid
3.0ms	10×	3	valid

Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions

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

ival-mult: 4.0ms (23% of total)

ival-div: 3.0ms (17.3% of total)

ival-sqrt: 3.0ms (17.3% of total)

ival-sub: 2.0ms (11.5% of total)

adjust: 2.0ms (11.5% of total)

ival-add: 2.0ms (11.5% of total)

ival-neg: 1.0ms (5.8% of total)

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

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

series40.0ms (0.5%)

Memory

-16.5MiB live, 23.2MiB allocated

Counts

5 → 156

Calls

Call 1

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

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

Calls

39 calls:

Time	Variable		Point	Expression
20.0ms	c	@	inf	(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
1.0ms	b_2	@	inf	(+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
1.0ms	a	@	inf	(+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
1.0ms	c	@	0	(+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
1.0ms	b_2	@	inf	(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)

simplify343.0ms (4.1%)

Memory

15.1MiB live, 243.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	508	3200
1	1606	3160
2	5520	3144
0	8782	3008

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 153

Calls

Call 1

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

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

rewrite231.0ms (2.7%)

Memory

3.0MiB live, 199.3MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 449

Calls

Call 1

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

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

eval105.0ms (1.2%)

Memory: 21.8MiB live, 220.4MiB allocated
Compiler: Compiled 18 740 to 2 095 computations (88.8% saved)

prune157.0ms (1.9%)

Memory

-9.8MiB live, 223.0MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	591	11	602
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	591	12	603

Accuracy

94.6%

Counts

603 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.9%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))) a)
✓	51.2%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	16.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))))) a)
	25.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
	34.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c))))) a)
▶	29.3%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2)) a)
▶	32.9%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
▶	38.2%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c (/.f64 c (.f64 b_2 b_2)))))) b_2))
	28.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 c (fma.f64 c (fma.f64 #s(literal -1/8 binary64) (/.f64 a (.f64 b_2 (.f64 b_2 b_2))) (/.f64 (.f64 c (.f64 (.f64 a a) #s(literal -1/16 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) (/.f64 #s(literal -1/2 binary64) b_2))))
	35.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 c (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a c) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 #s(literal -1/2 binary64) b_2))))
▶	38.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
▶	31.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (.f64 b_2 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)))))

Compiler

Compiled 410 to 246 computations (40% saved)

simplify178.0ms (2.1%)

Memory

-57.6MiB live, 232.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

3 842×	`lower-fma.f32`
3 838×	`lower-fma.f64`
3 784×	`lower-*.f32`
3 766×	`lower-*.f64`
1 812×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	305
0	60	305
1	105	298
2	242	295
3	619	290
4	1297	290
5	2471	290
6	4539	290
7	6517	290
0	8197	284

Stop Event

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

Calls

Call 1

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

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

localize130.0ms (1.5%)

Memory

33.3MiB live, 265.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	2.6070178845608494	(.f64 c (/.f64 c (.f64 b_2 b_2)))
accuracy	6.338438713467505	(.f64 a (.f64 c (/.f64 c (*.f64 b_2 b_2))))
accuracy	6.3704206000604735	(/.f64 c (*.f64 b_2 b_2))
accuracy	39.44852482602688	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c (/.f64 c (.f64 b_2 b_2)))))) b_2))
accuracy	0.33993852350135934	(/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))
accuracy	3.107138487684039	(fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a))
accuracy	5.80998262783746	(.f64 b_2 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)))
accuracy	42.85446803817499	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (.f64 b_2 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)))))
accuracy	0	(.f64 a (.f64 c #s(literal -1/2 binary64)))
accuracy	4.32091594175088	(/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2)
accuracy	4.400079528820422	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2)) a)
accuracy	39.363337543054165	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2))
accuracy	0	(*.f64 b_2 #s(literal -2 binary64))
accuracy	4.400079528820422	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
accuracy	43.01757455171102	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))
accuracy	0	(/.f64 #s(literal -1/2 binary64) b_2)
accuracy	0.2265625	(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
accuracy	39.379007248581665	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))

Samples

42.0ms	163×	0	valid
21.0ms	39×	1	valid
20.0ms	44×	2	valid
6.0ms	10×	3	valid

Compiler

Compiled 251 to 34 computations (86.5% saved)

Precisions

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

ival-div: 19.0ms (34% of total)

ival-mult: 18.0ms (32.2% of total)

adjust: 5.0ms (9% of total)

ival-add: 4.0ms (7.2% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

series253.0ms (3%)

Memory

-20.3MiB live, 134.2MiB allocated

Counts

22 → 672

Calls

Call 1

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

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

Calls

168 calls:

Time	Variable		Point	Expression
182.0ms	b_2	@	0	(* c (/ -1/2 b_2))
11.0ms	a	@	-inf	(+ (* c -1/2) (* -1/8 (* a (* c (/ c (* b_2 b_2))))))
3.0ms	c	@	0	(/ (* a (* c -1/2)) b_2)
1.0ms	b_2	@	-inf	(* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)))
1.0ms	b_2	@	0	(* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)))

simplify354.0ms (4.2%)

Memory

55.7MiB live, 588.4MiB allocated

Algorithm

1×	egg-herbie

Rules

15 186×	`lower-fma.f64`
15 186×	`lower-fma.f32`
6 334×	`lower-*.f64`
6 334×	`lower-*.f32`
4 254×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	486	10233
1	1483	10126
2	4861	10010
0	8197	9584

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 672

Calls

Call 1

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

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

rewrite332.0ms (3.9%)

Memory

-27.8MiB live, 471.9MiB allocated

Rules

5 022×	`lower-/.f32`
5 006×	`lower-/.f64`
4 904×	`lower-fma.f32`
4 900×	`lower-fma.f64`
4 616×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	273
0	60	273
1	206	266
2	1465	254
0	8370	254

Stop Event

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

Counts

22 → 757

Calls

Call 1

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

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

eval218.0ms (2.6%)

Memory: 2.1MiB live, 305.9MiB allocated
Compiler: Compiled 31 558 to 3 136 computations (90.1% saved)

prune183.0ms (2.2%)

Memory

-0.3MiB live, 402.7MiB allocated

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	1 417	12	1 429
Fresh	2	4	6
Picked	3	2	5
Done	0	1	1
Total	1 422	19	1 441

Accuracy

94.7%

Counts

1 441 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	26.9%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))) a)
✓	51.2%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	16.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))))) a)
	25.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
	34.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c))))) a)
	30.0%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 c #s(literal -1/2 binary64)) (/.f64 a b_2))) a)
	29.2%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a c) (/.f64 #s(literal -1/2 binary64) b_2))) a)
✓	32.9%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
▶	32.8%	(/.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)))))
▶	38.5%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
	37.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* c -1/2) (* -1/8 (* a (* c (/ c (* b_2 b_2)))))) (.f64 c (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 c a) (*.f64 b_2 b_2)) #s(literal -1/2 binary64)))) b_2))
	38.1%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c)))
	30.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 c (fma.f64 c (fma.f64 (.f64 #s(literal -1/16 binary64) (.f64 a a)) (/.f64 c (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (.f64 a #s(literal -1/8 binary64)) (.f64 b_2 (.f64 b_2 b_2)))) (/.f64 #s(literal -1/2 binary64) b_2))))
✓	38.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
	32.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (.f64 b_2 #s(approx (+ ( c (/ -1/2 (* b_2 b_2))) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)))))
	14.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 #s(approx (* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))))
▶	32.9%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (neg (* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)))) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)))))
	23.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (neg (* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 b_2 (/.f64 b_2 a)) (.f64 c #s(literal 1/2 binary64))) b_2)))
▶	14.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (neg (* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)))) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))

Compiler

Compiled 532 to 324 computations (39.1% saved)

simplify172.0ms (2%)

Memory

18.1MiB live, 210.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))) a)
cost-diff	128	(+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))))
cost-diff	1280	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))
cost-diff	0	(/.f64 #s(literal -2 binary64) a)
cost-diff	0	(fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)))
cost-diff	0	#s(approx (neg (* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)))) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (neg (* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)))) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)))))
cost-diff	0	(*.f64 b_2 #s(literal -2 binary64))
cost-diff	0	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))
cost-diff	0	(/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))
cost-diff	704	(/.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)))))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) b_2)
cost-diff	0	(*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))
cost-diff	0	#s(approx (neg (* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)))) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)))
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (neg (* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)))) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))
cost-diff	0	(*.f64 c #s(literal -1/2 binary64))
cost-diff	0	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))

Rules

5 176×	`lower-*.f32`
5 168×	`lower-*.f64`
3 386×	`lower-fma.f32`
3 382×	`lower-fma.f64`
1 294×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	318
0	63	314
1	106	302
2	218	295
3	495	280
4	1129	280
5	2400	280
6	4112	280
7	5382	280
8	6044	280
9	6582	280
10	6828	280
11	6982	280
0	8208	280

Stop Event

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

Calls

Call 1

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

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

localize194.0ms (2.3%)

Memory

-1.9MiB live, 122.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.08203125	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))) a)
accuracy	0.0859375	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))
accuracy	0.2176390912394553	(/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))
accuracy	3.3201754913086394	(sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))
accuracy	0	#s(approx (neg (* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)))) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))
accuracy	0.0078125	(fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)))
accuracy	0.0703125	(*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))
accuracy	20.00472751641158	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (neg (* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)))) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)))))
accuracy	0	(*.f64 b_2 #s(literal -2 binary64))
accuracy	0.05859375	(/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))
accuracy	0.0859375	(/.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)))))
accuracy	19.933448137971062	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))
accuracy	0	(/.f64 #s(literal 1/2 binary64) b_2)
accuracy	0.0703125	(*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))
accuracy	0.4127013981510611	#s(approx (neg (* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)))) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)))
accuracy	20.00472751641158	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (neg (* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)))) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))
accuracy	0	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
accuracy	0	(*.f64 c #s(literal -1/2 binary64))
accuracy	20.047302738890657	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))

Samples

100.0ms	173×	0	invalid
49.0ms	83×	0	valid

Compiler

Compiled 245 to 40 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-div: 76.0ms (60% of total)

ival-add: 32.0ms (25.2% of total)

ival-mult: 12.0ms (9.5% of total)

ival-sqrt: 3.0ms (2.4% of total)

ival-neg: 2.0ms (1.6% of total)

ival-sub: 1.0ms (0.8% of total)

exact: 1.0ms (0.8% of total)

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

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

series112.0ms (1.3%)

Memory

-41.7MiB live, 64.9MiB allocated

Counts

21 → 612

Calls

Call 1

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

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

Calls

153 calls:

Time	Variable		Point	Expression
12.0ms	b_2	@	0	(+ (* b_2 (/ -2 a)) (* c (/ 1/2 b_2)))
6.0ms	b_2	@	0	(* c (/ 1/2 b_2))
2.0ms	a	@	0	(+ (neg b_2) (sqrt (/ -1 (/ 1 (+ (* b_2 b_2) (* a c))))))
1.0ms	a	@	inf	(/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))
1.0ms	c	@	inf	(/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))

simplify365.0ms (4.3%)

Memory

10.1MiB live, 512.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 328×	`lower-fma.f64`
7 328×	`lower-fma.f32`
6 918×	`lower-*.f64`
6 918×	`lower-*.f32`
4 836×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1199	11579
1	3926	11361
0	8143	10869

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 612

Calls

Call 1

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

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

rewrite123.0ms (1.5%)

Memory

13.4MiB live, 138.9MiB allocated

Rules

1 034×	`lower-*.f32`
1 026×	`lower-*.f64`
1 012×	`lower-fma.f32`
1 008×	`lower-fma.f64`
906×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	281
0	63	273
1	239	259
0	1766	255

Stop Event

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

Counts

21 → 231

Calls

Call 1

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

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

eval101.0ms (1.2%)

Memory: 10.9MiB live, 236.9MiB allocated
Compiler: Compiled 18 380 to 1 865 computations (89.9% saved)

prune147.0ms (1.7%)

Memory

10.8MiB live, 240.4MiB allocated

Pruning

27 alts after pruning (20 fresh and 7 done)

	Pruned	Kept	Total
New	887	15	902
Fresh	6	5	11
Picked	1	4	5
Done	0	3	3
Total	894	27	921

Accuracy

94.8%

Counts

921 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	26.4%	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (neg.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))) a)
	21.8%	(/.f64 (-.f64 (.f64 b_2 b_2) (neg.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (fma.f64 b_2 b_2 (.f64 a c)))))))
	26.9%	(/.f64 (+.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))) a)
▶	34.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* b_2 b_2) (* a c))) (/.f64 #s(literal 1 binary64) (*.f64 c a)))))) a)
✓	51.2%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
▶	34.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (/ -1 (/ 1 (+ (* b_2 b_2) (* a c)))) (*.f64 c (neg.f64 a))))) a)
	25.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
	26.4%	(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (neg.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (/.f64 #s(literal 1 binary64) a)) (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (fma.f64 b_2 b_2 (.f64 a c))))))
	30.0%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 c #s(literal -1/2 binary64)) (/.f64 a b_2))) a)
	29.2%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a c) (/.f64 #s(literal -1/2 binary64) b_2))) a)
✓	32.9%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
	26.9%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) b_2)))
✓	32.8%	(/.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)))))
▶	32.8%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))) a))
	36.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 a (fma.f64 a (/.f64 (.f64 #s(literal 1/8 binary64) c) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 #s(literal 1/2 binary64) b_2)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) c))))
▶	38.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c))))
	38.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c)))
	28.7%	(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (.f64 b_2 (-.f64 (/.f64 (.f64 (.f64 c (.f64 a a)) #s(literal -1/8 binary64)) (neg.f64 (pow.f64 b_2 #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) c))))))
	26.9%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 b_2 b_2 (.f64 a c)))) b_2))
✓	38.5%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
	37.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* c -1/2) (* -1/8 (* a (* c (/ c (* b_2 b_2)))))) (.f64 c (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 c a) (*.f64 b_2 b_2)) #s(literal -1/2 binary64)))) b_2))
✓	38.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
	32.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (.f64 b_2 #s(approx (+ ( c (/ -1/2 (* b_2 b_2))) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)))))
	33.0%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (neg (* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))))
✓	32.9%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (neg (* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)))) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)))))
▶	14.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (neg (* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)))) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)))
✓	14.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (neg (* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)))) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))

Compiler

Compiled 803 to 491 computations (38.9% saved)

simplify211.0ms (2.5%)

Memory

-5.8MiB live, 193.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

4 722×	`lower-fma.f32`
4 720×	`lower-fma.f64`
2 924×	`lower-*.f32`
2 914×	`lower-*.f64`
1 324×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	416
0	77	408
1	132	387
2	262	385
3	621	381
4	1293	381
5	2732	381
6	4317	381
7	5933	381
8	7199	381
9	7639	381
10	7779	381
11	7848	381
0	8144	370

Stop Event

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

Calls

Call 1

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

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

localize120.0ms (1.4%)

Memory

4.8MiB live, 202.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0859375	(/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* b_2 b_2) (* a c))) (/.f64 #s(literal 1 binary64) (*.f64 c a))))
accuracy	0.2176390912394553	(/.f64 #s(literal 1 binary64) (*.f64 c a))
accuracy	0.2622280638400053	#s(approx (/ 1 (+ (* b_2 b_2) (* a c))) (/.f64 #s(literal 1 binary64) (*.f64 c a)))
accuracy	3.3201754913086394	(sqrt.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* b_2 b_2) (* a c))) (/.f64 #s(literal 1 binary64) (*.f64 c a)))))
accuracy	0.01171875	(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (/ -1 (/ 1 (+ (* b_2 b_2) (* a c)))) (*.f64 c (neg.f64 a)))))
accuracy	0.08203125	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (/ -1 (/ 1 (+ (* b_2 b_2) (* a c)))) (*.f64 c (neg.f64 a))))) a)
accuracy	0.2593828378126488	#s(approx (/ -1 (/ 1 (+ (* b_2 b_2) (* a c)))) (*.f64 c (neg.f64 a)))
accuracy	3.3201754913086394	(sqrt.f64 #s(approx (/ -1 (/ 1 (+ (* b_2 b_2) (* a c)))) (*.f64 c (neg.f64 a))))
accuracy	0.08203125	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))) a)
accuracy	0.0859375	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))) a))
accuracy	0.109375	(/.f64 #s(literal 1 binary64) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))
accuracy	19.933448137971062	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))
accuracy	0	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
accuracy	0	(*.f64 c #s(literal 1/2 binary64))
accuracy	0.4127013981510611	#s(approx (neg (* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)))) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
accuracy	20.00472751641158	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (neg (* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)))) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)))
accuracy	0	(*.f64 b_2 #s(literal -2 binary64))
accuracy	0.0078125	(fma.f64 #s(literal 1/2 binary64) (/.f64 a b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c))
accuracy	0.0859375	(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c))))
accuracy	20.045342325217817	#s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c)))

Samples

52.0ms	173×	0	invalid
24.0ms	83×	0	valid

Compiler

Compiled 304 to 46 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-div: 21.0ms (40.6% of total)

ival-mult: 15.0ms (29% of total)

ival-add: 6.0ms (11.6% of total)

ival-neg: 4.0ms (7.7% of total)

ival-sqrt: 3.0ms (5.8% of total)

ival-sub: 1.0ms (1.9% of total)

exact: 1.0ms (1.9% of total)

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

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

series64.0ms (0.8%)

Memory

-7.0MiB live, 108.5MiB allocated

Counts

24 → 756

Calls

Call 1

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

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

Calls

189 calls:

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

simplify401.0ms (4.7%)

Memory

-0.4MiB live, 403.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 166×	`lower-*.f64`
7 166×	`lower-*.f32`
7 098×	`lower-fma.f64`
7 098×	`lower-fma.f32`
4 342×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1404	16221
1	4669	15801
0	8624	15149

Stop Event

1×	iter limit
1×	node limit

Counts

756 → 756

Calls

Call 1

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

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

rewrite112.0ms (1.3%)

Memory

-11.0MiB live, 113.8MiB allocated

Rules

1 288×	`lower-*.f32`
1 278×	`lower-*.f64`
1 194×	`lower-/.f32`
1 174×	`lower-/.f64`
1 152×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	376
0	77	368
1	305	347
0	2215	336

Stop Event

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

Counts

24 → 284

Calls

Call 1

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

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

eval125.0ms (1.5%)

Memory: 36.5MiB live, 180.4MiB allocated
Compiler: Compiled 24 897 to 2 301 computations (90.8% saved)

prune208.0ms (2.5%)

Memory

-28.4MiB live, 242.1MiB allocated

Pruning

28 alts after pruning (19 fresh and 9 done)

	Pruned	Kept	Total
New	1 057	16	1 073
Fresh	12	3	15
Picked	3	2	5
Done	0	7	7
Total	1 072	28	1 100

Accuracy

94.8%

Counts

1 100 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.0%	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (/ -1 (/ 1 (+ ( b_2 b_2) (* a c)))) (.f64 a (neg.f64 c)))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (/ -1 (/ 1 (+ ( b_2 b_2) (* a c)))) (*.f64 a (neg.f64 c)))))) a)
	27.9%	(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (/ -1 (/ 1 (+ ( b_2 b_2) (* a c)))) (.f64 a (neg.f64 c)))) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (/ -1 (/ 1 (+ (* b_2 b_2) (* a c)))) (*.f64 a (neg.f64 c)))))))
	34.0%	(/.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* b_2 b_2) (* a c))) (/.f64 #s(literal 1 binary64) (*.f64 a c))))) b_2) a)
	34.0%	(/.f64 (-.f64 (sqrt.f64 #s(approx (/ -1 (/ 1 (+ (* b_2 b_2) (* a c)))) (*.f64 a (neg.f64 c)))) b_2) a)
	33.1%	(/.f64 (+.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 #s(approx (/ 1 (+ (* b_2 b_2) (* a c))) (/.f64 #s(literal 1 binary64) (*.f64 a c))))))) a)
✓	51.2%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	32.9%	(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) #s(approx (/ -1 (/ 1 (+ (* b_2 b_2) (* a c)))) (.f64 a (neg.f64 c)))) (/.f64 #s(literal 1 binary64) a)) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (/ -1 (/ 1 (+ ( b_2 b_2) (* a c)))) (*.f64 a (neg.f64 c))))))
✓	32.9%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
	34.0%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (/ -1 (/ 1 (+ (* b_2 b_2) (* a c)))) (*.f64 a (neg.f64 c)))) b_2)))
✓	32.8%	(/.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)))))
	29.4%	(/.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))) #s(literal -1 binary64))) a))
	26.9%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ 1 (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c))))) (/.f64 (fma.f64 c (fma.f64 c (/.f64 (.f64 #s(literal 1/8 binary64) a) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 #s(literal 1/2 binary64) b_2)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a)) c)) a))
	31.6%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ 1 (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 a b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c)) a)) a))
	32.8%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ 1 (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c))))) (/.f64 #s(literal -1/2 binary64) b_2)) a))
	36.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 a (fma.f64 a (/.f64 (.f64 #s(literal 1/8 binary64) c) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 #s(literal 1/2 binary64) b_2)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) c))))
✓	38.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c))))
	28.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) #s(approx (+ (* 1/2 (/ a b_2)) (/ (* b_2 -2) c)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 b_2 b_2) c) (.f64 a #s(literal 1/2 binary64))) b_2))))
	2.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) #s(approx (+ (* 1/2 (/ a b_2)) (/ (* b_2 -2) c)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2))))
	25.5%	(.f64 (pow.f64 #s(approx (/ a (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c))))) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) c) (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ a (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c))))) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) c) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2))) #s(literal -1/2 binary64)))
	33.9%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 #s(approx (/ -1 (/ 1 (+ ( b_2 b_2) (* a c)))) (*.f64 a (neg.f64 c)))) b_2))
✓	38.5%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
	37.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* c -1/2) (* -1/8 (* a (* c (/ c (* b_2 b_2)))))) (.f64 c (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 c a) (*.f64 b_2 b_2)) #s(literal -1/2 binary64)))) b_2))
✓	38.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
	32.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg.f64 (.f64 b_2 #s(approx (+ ( c (/ -1/2 (* b_2 b_2))) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)))))
	33.0%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (neg (* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)))) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))))
✓	32.9%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (neg (* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)))) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)))))
✓	14.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (neg (* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)))) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)))
✓	14.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (neg (* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)))) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))

Compiler

Compiled 1 285 to 498 computations (61.2% saved)

regimes73.0ms (0.9%)

Memory

19.7MiB live, 125.4MiB allocated

Counts

55 → 3

Calls

Call 1

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

Outputs

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

Calls

4 calls:

20.0ms	c
19.0ms	a
16.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
15.0ms	b_2

Results

Accuracy	Segments	Branch
51.2%	1	`a`
88.5%	3	`b_2`
57.2%	3	`c`
77.0%	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes13.0ms (0.2%)

Memory

-30.7MiB live, 20.2MiB allocated

Counts

25 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

11.0ms

b_2

Results

Accuracy	Segments	Branch
81.9%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated

Counts

19 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

b_2

Results

Accuracy	Segments	Branch
81.8%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory

-22.8MiB live, 15.2MiB allocated

Counts

18 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

7.0ms

b_2

Results

Accuracy	Segments	Branch
81.8%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory

21.2MiB live, 21.2MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

4.0ms	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
51.1%	3	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
68.9%	2	`b_2`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes11.0ms (0.1%)

Memory

-17.9MiB live, 19.6MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
38.5%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
38.5%	1	`a`
38.5%	1	`c`
38.5%	1	`b_2`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes8.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
38.4%	1	`a`
38.4%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
38.4%	1	`b_2`
38.4%	1	`c`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes6.0ms (0.1%)

Memory

12.4MiB live, 12.4MiB 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 (neg (* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)))) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
14.7%	1	`a`
14.7%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
14.7%	1	`b_2`
14.7%	1	`c`

Compiler

Compiled 28 to 19 computations (32.1% saved)

bsearch49.0ms (0.6%)

Memory

-28.1MiB live, 52.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
20.0ms	2.0023845105393498e-159	6.099378967950108e-153
15.0ms	-9.44966293729297e+100	-5.039612173899429e+99

Samples

14.0ms	220×	0	valid
6.0ms	39×	0	invalid
4.0ms	30×	1	valid
1.0ms	6×	2	valid

Compiler

Compiled 493 to 325 computations (34.1% saved)

Precisions

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

ival-mult: 7.0ms (41.4% of total)

ival-div: 2.0ms (11.8% of total)

ival-add: 2.0ms (11.8% of total)

ival-sqrt: 2.0ms (11.8% of total)

ival-sub: 2.0ms (11.8% of total)

adjust: 1.0ms (5.9% of total)

ival-neg: 1.0ms (5.9% of total)

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

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

bsearch17.0ms (0.2%)

Memory

30.5MiB live, 30.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.0023845105393498e-159	6.099378967950108e-153
15.0ms	-527260942375343170.0	-1132228437474317.8

Samples

8.0ms	128×	0	valid
1.0ms	20×	0	invalid

Compiler

Compiled 475 to 312 computations (34.3% saved)

Precisions

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

ival-mult: 2.0ms (33.8% of total)

ival-sub: 1.0ms (16.9% of total)

ival-div: 1.0ms (16.9% of total)

ival-add: 1.0ms (16.9% of total)

ival-sqrt: 1.0ms (16.9% of total)

ival-neg: 1.0ms (16.9% of total)

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

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

bsearch2.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.0023845105393498e-159	6.099378967950108e-153
1.0ms	-527260942375343170.0	-1132228437474317.8

Compiler

Compiled 475 to 312 computations (34.3% saved)

bsearch3.0ms (0%)

Memory

-34.9MiB live, 3.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	2.0023845105393498e-159	6.099378967950108e-153
1.0ms	-527260942375343170.0	-1132228437474317.8

Compiler

Compiled 427 to 288 computations (32.6% saved)

bsearch12.0ms (0.1%)

Memory

22.4MiB live, 22.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	3.1606447423891645e-268	5.020725259482872e-268

Samples

4.0ms	63×	0	valid
3.0ms	40×	0	invalid
0.0ms	1×	1	valid

Compiler

Compiled 99 to 72 computations (27.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 1.0ms (23.1% of total)

ival-mult: 1.0ms (23.1% of total)

ival-sub: 1.0ms (23.1% of total)

ival-sqrt: 1.0ms (23.1% of total)

ival-neg: 1.0ms (23.1% of total)

adjust: 0.0ms (0% of total)

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

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

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

simplify12.0ms (0.1%)

Memory

-17.5MiB live, 21.3MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
14×	`+-commutative_binary64`
12×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	76	430
1	98	429
2	110	429
3	116	429
4	118	429

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -85000000000000004265749082668186640360259733028813251776751542819065911441166853625270922687595675648 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (neg (* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2)))) (if (<=.f64 b_2 #s(literal 707617954654039/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968 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) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -1150000000000000 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (neg (* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2)))) (if (<=.f64 b_2 #s(literal 707617954654039/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (/ -1 (/ 1 (+ ( b_2 b_2) (* a c)))) (.f64 a (neg.f64 c)))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -1150000000000000 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (neg (* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)))) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))) (if (<=.f64 b_2 #s(literal 707617954654039/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (/ -1 (/ 1 (+ ( b_2 b_2) (* a c)))) (.f64 a (neg.f64 c)))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -1150000000000000 binary64)) (/.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 707617954654039/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (/ -1 (/ 1 (+ ( b_2 b_2) (* a c)))) (.f64 a (neg.f64 c)))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal 1487016908477783/4646927838993072071243945306718439250410188130185607684549287060362314553626263667328650982800488595593121011844353040782670578892327830336846345565944983205571783876398312106070895030732180427719497486819848241268961714708993375275490934188589556509412640954544199727574266715045888 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (neg (* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)))) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))

Outputs
(if (<=.f64 b_2 #s(literal -85000000000000004265749082668186640360259733028813251776751542819065911441166853625270922687595675648 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (neg (* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2)))) (if (<=.f64 b_2 #s(literal 707617954654039/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968 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) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -85000000000000004265749082668186640360259733028813251776751542819065911441166853625270922687595675648 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (neg (* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2)))) (if (<=.f64 b_2 #s(literal 707617954654039/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -1150000000000000 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (neg (* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2)))) (if (<=.f64 b_2 #s(literal 707617954654039/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (/ -1 (/ 1 (+ ( b_2 b_2) (* a c)))) (.f64 a (neg.f64 c)))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -1150000000000000 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (neg (* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)))) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))) (if (<=.f64 b_2 #s(literal 707617954654039/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (/ -1 (/ 1 (+ ( b_2 b_2) (* a c)))) (.f64 a (neg.f64 c)))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -1150000000000000 binary64)) (/.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 707617954654039/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (/ -1 (/ 1 (+ ( b_2 b_2) (* a c)))) (.f64 a (neg.f64 c)))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal 1487016908477783/4646927838993072071243945306718439250410188130185607684549287060362314553626263667328650982800488595593121011844353040782670578892327830336846345565944983205571783876398312106070895030732180427719497486819848241268961714708993375275490934188589556509412640954544199727574266715045888 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (neg (* b_2 (+ (* c (/ -1/2 (* b_2 b_2))) (/ 2 a)))) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))

soundness990.0ms (11.7%)

Memory

29.2MiB live, 698.7MiB allocated

Rules

15 186×	`lower-fma.f64`
15 186×	`lower-fma.f32`
11 022×	`lower-fma.f64`
11 022×	`lower-fma.f32`
7 328×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	376
0	77	368
1	305	347
0	2215	336
0	486	10233
1	1483	10126
2	4861	10010
0	8197	9584
0	1199	11579
1	3926	11361
0	8143	10869
0	508	3200
1	1606	3160
2	5520	3144
0	8782	3008
0	10	41
0	17	41
1	64	39
2	463	38
3	5888	38
0	8611	34

Stop Event

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

Compiler

Compiled 491 to 258 computations (47.5% saved)

preprocess97.0ms (1.1%)

Memory: 18.5MiB live, 132.9MiB allocated
Compiler: Compiled 572 to 164 computations (71.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

start0.0ms (0%)

analyze116.0ms (1.4%)

sample1.6s (19%)

explain228.0ms (2.7%)

preprocess116.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify53.0ms (0.6%)

localize40.0ms (0.5%)

series40.0ms (0.5%)

simplify343.0ms (4.1%)

rewrite231.0ms (2.7%)

eval105.0ms (1.2%)

prune157.0ms (1.9%)

simplify178.0ms (2.1%)

localize130.0ms (1.5%)

series253.0ms (3%)

simplify354.0ms (4.2%)

rewrite332.0ms (3.9%)

eval218.0ms (2.6%)

prune183.0ms (2.2%)

simplify172.0ms (2%)

localize194.0ms (2.3%)

series112.0ms (1.3%)

simplify365.0ms (4.3%)

rewrite123.0ms (1.5%)

eval101.0ms (1.2%)

prune147.0ms (1.7%)

simplify211.0ms (2.5%)

localize120.0ms (1.4%)

series64.0ms (0.8%)

simplify401.0ms (4.7%)

rewrite112.0ms (1.3%)

eval125.0ms (1.5%)

prune208.0ms (2.5%)

regimes73.0ms (0.9%)

regimes13.0ms (0.2%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch49.0ms (0.6%)

bsearch17.0ms (0.2%)

bsearch2.0ms (0%)

bsearch3.0ms (0%)

bsearch12.0ms (0.1%)

simplify12.0ms (0.1%)

soundness990.0ms (11.7%)

preprocess97.0ms (1.1%)

end0.0ms (0%)

Profiling

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