Metrics for quad2p (problem 3.2.1, positive)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze134.0ms (1.6%)

Memory

-12.0MiB live, 143.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 12 computations (20% saved)

sample1.5s (17.3%)

Memory

27.2MiB live, 1 394.9MiB allocated

Samples

497.0ms	5 609×	0	valid
265.0ms	1 158×	2	valid
174.0ms	1 309×	1	valid
86.0ms	1 043×	0	invalid
58.0ms	180×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 720.0ms

ival-mult: 179.0ms (24.9% of total)

ival-sqrt: 147.0ms (20.4% of total)

ival-div: 116.0ms (16.1% of total)

ival-sub: 79.0ms (11% of total)

ival-add: 70.0ms (9.7% of total)

adjust: 67.0ms (9.3% of total)

ival-neg: 51.0ms (7.1% of total)

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

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

Bogosity

explain264.0ms (3.2%)

Memory

-7.9MiB live, 169.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
89	0	-	3	(1.9502899669760243e-297 1.2349369441720353e-201 -1.0459418971770771e-14)	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
65	1	(6.246554279469389e+89 6.068793050985296e+112 -9.112831258301293e-301)	0	-	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
16	0	-	0	-	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
5	0	-	0	-	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`
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`

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	79	0
↳	`(*.f64 b_2 b_2)`	overflow	67
↳	`(*.f64 a c)`	overflow	20
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	overflow	79
`+.f64`	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	cancellation	66	1
`/.f64`	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`	u/n	16	0
↳	`(*.f64 b_2 b_2)`	underflow	50
↳	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	underflow	20
↳	`(*.f64 a c)`	underflow	33
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	7
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	uflow-rescue	7	0
↳	`(*.f64 b_2 b_2)`	underflow	50
↳	`(*.f64 a c)`	underflow	33
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	7
`-.f64`	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	nan-rescue	5	0
↳	`(*.f64 b_2 b_2)`	overflow	67
↳	`(*.f64 a c)`	overflow	20

Confusion

	Predicted +	Predicted -
+	119	2
-	18	117

Precision

0.8686131386861314

Recall

0.9834710743801653

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	119	0	2
-	18	1	116

Precision?

0.8623188405797102

Recall?

0.9834710743801653

Freqs

test

number	freq
0	119
1	104
2	30
3	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

97.0ms	344×	0	valid
54.0ms	84×	2	valid
11.0ms	76×	1	valid
2.0ms	8×	3	valid

Compiler

Compiled 117 to 34 computations (70.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-sqrt: 77.0ms (73.2% of total)

ival-mult: 8.0ms (7.6% of total)

ival-div: 5.0ms (4.8% of total)

ival-sub: 4.0ms (3.8% of total)

adjust: 4.0ms (3.8% of total)

ival-add: 4.0ms (3.8% of total)

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

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

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

preprocess106.0ms (1.3%)

Memory

18.8MiB live, 57.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.6%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify33.0ms (0.4%)

Memory

-29.7MiB live, 11.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize37.0ms (0.4%)

Memory

13.3MiB live, 51.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	1.0039062500000002	(-.f64 (.f64 b_2 b_2) (.f64 a c))
accuracy	3.8552503698174116	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
accuracy	15.170895954057926	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
accuracy	20.36671800158089	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Samples

14.0ms	172×	0	valid
9.0ms	42×	2	valid
5.0ms	38×	1	valid
1.0ms	4×	3	valid

Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 4.0ms (21.5% of total)

ival-sqrt: 4.0ms (21.5% of total)

ival-sub: 3.0ms (16.1% of total)

ival-div: 3.0ms (16.1% of total)

adjust: 2.0ms (10.8% of total)

ival-add: 2.0ms (10.8% of total)

ival-neg: 1.0ms (5.4% of total)

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

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

series24.0ms (0.3%)

Memory

-13.2MiB live, 25.7MiB allocated

Counts

5 → 156

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	b_2	@	-inf	((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
2.0ms	a	@	-inf	((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
2.0ms	b_2	@	0	((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
2.0ms	a	@	inf	((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
2.0ms	c	@	inf	((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))

simplify183.0ms (2.2%)

Memory

43.1MiB live, 230.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 153

Calls

Call 1

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

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

rewrite166.0ms (2%)

Memory

-9.3MiB live, 199.9MiB 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
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eval83.0ms (1%)

Memory: 6.8MiB live, 194.0MiB allocated
Compiler: Compiled 15 131 to 2 191 computations (85.5% saved)

prune260.0ms (3.1%)

Memory

-63.5MiB live, 74.8MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

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

Accuracy

93.8%

Counts

603 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.9%	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
	20.8%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))))))) a)
▶	21.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))) a)
▶	27.6%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64))))) a)
✓	55.6%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	17.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))))) a)
	16.5%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))) a)
▶	36.6%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
	22.4%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 (.f64 a a) c) c) b_2) (.f64 (*.f64 c a) #s(literal -1/2 binary64))) b_2)) a)
	26.0%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
	33.4%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
	27.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (*.f64 c #s(literal -1/2 binary64))) b_2))
▶	35.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
▶	33.0%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))

Compiler

Compiled 699 to 376 computations (46.2% saved)

simplify123.0ms (1.5%)

Memory

-6.1MiB live, 112.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))) a)
cost-diff	128	(+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))))
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64))))) a)
cost-diff	128	(+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))))
cost-diff	7040	(/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))
cost-diff	0	(fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))
cost-diff	0	(neg.f64 b_2)
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
cost-diff	832	(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
cost-diff	0	(/.f64 c b_2)
cost-diff	0	(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
cost-diff	128	(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))

Rules

5 602×	`lower-fma.f32`
5 596×	`lower-fma.f64`
3 946×	`lower-*.f32`
3 936×	`lower-*.f64`
1 658×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	398
0	79	398
1	128	382
2	278	378
3	861	378
4	2004	374
5	3301	374
6	5683	374
7	7952	374
0	8065	372

Stop Event

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

Calls

Call 1

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

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

localize131.0ms (1.6%)

Memory

13.2MiB live, 173.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.08107377930532605	(pow.f64 (*.f64 c a) #s(literal 3 binary64))
accuracy	0.09375	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))) a)
accuracy	3.9012150118658044	(sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))
accuracy	12.441106214741446	(/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))
accuracy	0.08984375	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64))))) a)
accuracy	0.19959631508196207	(pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64))
accuracy	0.35084093497382063	(/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))
accuracy	3.9012150118658044	(sqrt.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64))))
accuracy	0	(neg.f64 b_2)
accuracy	0.06640625	(/.f64 (/.f64 c b_2) b_2)
accuracy	5.950105678441766	(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
accuracy	21.508836524666027	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
accuracy	0	(/.f64 c b_2)
accuracy	0	(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
accuracy	21.545961948524962	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
accuracy	0	(neg.f64 a)
accuracy	0.09375	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
accuracy	0.34523310255422407	#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))
accuracy	3.9012150118658044	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))

Samples

58.0ms	167×	0	invalid
44.0ms	89×	0	valid

Compiler

Compiled 379 to 44 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-pow: 27.0ms (34.9% of total)

ival-div: 13.0ms (16.8% of total)

ival-mult: 13.0ms (16.8% of total)

ival-add: 9.0ms (11.6% of total)

ival-sqrt: 9.0ms (11.6% of total)

ival-sub: 2.0ms (2.6% of total)

ival-neg: 2.0ms (2.6% of total)

exact: 1.0ms (1.3% of total)

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

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

series108.0ms (1.3%)

Memory

2.4MiB live, 118.9MiB allocated

Counts

23 → 732

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
19.0ms	c	@	-inf	((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (neg b_2) (sqrt (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1)))) (/ (+ (neg b_2) (sqrt (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1)))) a) (+ (neg b_2) (sqrt (/ (- (pow b_2 6) (pow (* c a) 3)) (+ (* (+ (* c a) (* b_2 b_2)) (* c a)) (pow b_2 4))))) (/ (+ (neg b_2) (sqrt (/ (- (pow b_2 6) (pow (* c a) 3)) (+ (* (+ (* c a) (* b_2 b_2)) (* c a)) (pow b_2 4))))) a) (sqrt (/ (- (pow b_2 6) (pow (* c a) 3)) (+ (* (+ (* c a) (* b_2 b_2)) (* c a)) (pow b_2 4)))) (- (* b_2 b_2) (* a c)) (neg a) (/ (/ c b_2) b_2) (sqrt (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1))) (pow (+ (* c a) (* b_2 b_2)) -1) (/ (- (pow b_2 6) (pow (* c a) 3)) (+ (* (+ (* c a) (* b_2 b_2)) (* c a)) (pow b_2 4))) (pow (* c a) 3))
11.0ms	a	@	0	((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (neg b_2) (sqrt (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1)))) (/ (+ (neg b_2) (sqrt (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1)))) a) (+ (neg b_2) (sqrt (/ (- (pow b_2 6) (pow (* c a) 3)) (+ (* (+ (* c a) (* b_2 b_2)) (* c a)) (pow b_2 4))))) (/ (+ (neg b_2) (sqrt (/ (- (pow b_2 6) (pow (* c a) 3)) (+ (* (+ (* c a) (* b_2 b_2)) (* c a)) (pow b_2 4))))) a) (sqrt (/ (- (pow b_2 6) (pow (* c a) 3)) (+ (* (+ (* c a) (* b_2 b_2)) (* c a)) (pow b_2 4)))) (- (* b_2 b_2) (* a c)) (neg a) (/ (/ c b_2) b_2) (sqrt (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1))) (pow (+ (* c a) (* b_2 b_2)) -1) (/ (- (pow b_2 6) (pow (* c a) 3)) (+ (* (+ (* c a) (* b_2 b_2)) (* c a)) (pow b_2 4))) (pow (* c a) 3))
8.0ms	c	@	inf	((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (neg b_2) (sqrt (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1)))) (/ (+ (neg b_2) (sqrt (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1)))) a) (+ (neg b_2) (sqrt (/ (- (pow b_2 6) (pow (* c a) 3)) (+ (* (+ (* c a) (* b_2 b_2)) (* c a)) (pow b_2 4))))) (/ (+ (neg b_2) (sqrt (/ (- (pow b_2 6) (pow (* c a) 3)) (+ (* (+ (* c a) (* b_2 b_2)) (* c a)) (pow b_2 4))))) a) (sqrt (/ (- (pow b_2 6) (pow (* c a) 3)) (+ (* (+ (* c a) (* b_2 b_2)) (* c a)) (pow b_2 4)))) (- (* b_2 b_2) (* a c)) (neg a) (/ (/ c b_2) b_2) (sqrt (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1))) (pow (+ (* c a) (* b_2 b_2)) -1) (/ (- (pow b_2 6) (pow (* c a) 3)) (+ (* (+ (* c a) (* b_2 b_2)) (* c a)) (pow b_2 4))) (pow (* c a) 3))
7.0ms	b_2	@	inf	((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (neg b_2) (sqrt (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1)))) (/ (+ (neg b_2) (sqrt (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1)))) a) (+ (neg b_2) (sqrt (/ (- (pow b_2 6) (pow (* c a) 3)) (+ (* (+ (* c a) (* b_2 b_2)) (* c a)) (pow b_2 4))))) (/ (+ (neg b_2) (sqrt (/ (- (pow b_2 6) (pow (* c a) 3)) (+ (* (+ (* c a) (* b_2 b_2)) (* c a)) (pow b_2 4))))) a) (sqrt (/ (- (pow b_2 6) (pow (* c a) 3)) (+ (* (+ (* c a) (* b_2 b_2)) (* c a)) (pow b_2 4)))) (- (* b_2 b_2) (* a c)) (neg a) (/ (/ c b_2) b_2) (sqrt (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1))) (pow (+ (* c a) (* b_2 b_2)) -1) (/ (- (pow b_2 6) (pow (* c a) 3)) (+ (* (+ (* c a) (* b_2 b_2)) (* c a)) (pow b_2 4))) (pow (* c a) 3))
7.0ms	c	@	0	((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (neg b_2) (sqrt (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1)))) (/ (+ (neg b_2) (sqrt (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1)))) a) (+ (neg b_2) (sqrt (/ (- (pow b_2 6) (pow (* c a) 3)) (+ (* (+ (* c a) (* b_2 b_2)) (* c a)) (pow b_2 4))))) (/ (+ (neg b_2) (sqrt (/ (- (pow b_2 6) (pow (* c a) 3)) (+ (* (+ (* c a) (* b_2 b_2)) (* c a)) (pow b_2 4))))) a) (sqrt (/ (- (pow b_2 6) (pow (* c a) 3)) (+ (* (+ (* c a) (* b_2 b_2)) (* c a)) (pow b_2 4)))) (- (* b_2 b_2) (* a c)) (neg a) (/ (/ c b_2) b_2) (sqrt (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1))) (pow (+ (* c a) (* b_2 b_2)) -1) (/ (- (pow b_2 6) (pow (* c a) 3)) (+ (* (+ (* c a) (* b_2 b_2)) (* c a)) (pow b_2 4))) (pow (* c a) 3))

simplify278.0ms (3.3%)

Memory

11.0MiB live, 196.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 446×	`lower-fma.f64`
8 446×	`lower-fma.f32`
6 088×	`lower-*.f64`
6 088×	`lower-*.f32`
5 642×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1462	15763
1	4917	14382
0	8693	13783

Stop Event

1×	iter limit
1×	node limit

Counts

732 → 726

Calls

Call 1

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

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

rewrite94.0ms (1.1%)

Memory

6.4MiB live, 130.8MiB allocated

Rules

1 522×	`lower-fma.f32`
1 516×	`lower-fma.f64`
1 354×	`lower-*.f32`
1 344×	`lower-*.f64`
1 056×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	312
0	79	312
1	320	228
0	2503	228

Stop Event

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

Counts

23 → 389

Calls

Call 1

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

Outputs
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eval184.0ms (2.2%)

Memory: 8.9MiB live, 280.3MiB allocated
Compiler: Compiled 27 963 to 3 503 computations (87.5% saved)

prune47.0ms (0.6%)

Memory

-2.0MiB live, 110.7MiB allocated

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	1 193	17	1 210
Fresh	6	2	8
Picked	4	1	5
Done	1	0	1
Total	1 204	20	1 224

Accuracy

93.9%

Counts

1 224 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.7%	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) a)
	32.0%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 c) a (.f64 b_2 b_2)))) (-.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))))) a)
	35.6%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) a)
▶	26.5%	(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (.f64 b_2 b_2))) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 c) a (.f64 b_2 b_2))))))
▶	30.5%	(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))))
▶	55.7%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))) b_2) a)
	36.6%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) a)
	54.1%	(/.f64 (+.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))))) a)
	34.8%	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) #s(literal 1/2 binary64)))) a)
	35.5%	(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (pow.f64 a #s(literal -1 binary64))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))
	33.4%	(/.f64 #s(approx (+ (neg b_2) (sqrt (/ (- (pow b_2 6) (pow (* c a) 3)) (+ (* (+ (* c a) (* b_2 b_2)) (* c a)) (pow b_2 4))))) (*.f64 #s(literal -2 binary64) b_2)) a)
	22.4%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 (.f64 a a) c) c) b_2) (.f64 (*.f64 c a) #s(literal -1/2 binary64))) b_2)) a)
	36.5%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2)))
	27.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (*.f64 c #s(literal -1/2 binary64))) b_2))
▶	35.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
✓	35.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
	33.0%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 b_2) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 b_2 c) b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
	33.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 b_2) #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))))
	35.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
▶	7.6%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))

Compiler

Compiled 594 to 443 computations (25.4% saved)

simplify125.0ms (1.5%)

Memory

26.2MiB live, 168.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))
cost-diff	0	(*.f64 b_2 b_2)
cost-diff	640	(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (.f64 b_2 b_2))) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 c) a (.f64 b_2 b_2))))))
cost-diff	1024	(-.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (.f64 b_2 b_2)))
cost-diff	0	(*.f64 (neg.f64 a) c)
cost-diff	0	#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))
cost-diff	0	(*.f64 b_2 b_2)
cost-diff	0	(-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
cost-diff	0	(/.f64 b_2 c)
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
cost-diff	384	(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))
cost-diff	0	(/.f64 c b_2)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
cost-diff	0	#s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
cost-diff	0	(fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))
cost-diff	0	(sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))
cost-diff	0	(-.f64 (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))) b_2)
cost-diff	0	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))) b_2) a)

Rules

7 392×	`lower-fma.f32`
7 390×	`lower-fma.f64`
2 722×	`lower-*.f32`
2 712×	`lower-*.f64`
2 288×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	349
0	69	347
1	135	347
2	302	329
3	819	325
4	2896	320
5	7120	320
0	8455	318

Stop Event

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

Calls

Call 1

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

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

localize206.0ms (2.5%)

Memory

0.9MiB live, 284.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	11.54191562534175	(-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))))
accuracy	20.36671800158089	(sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))
accuracy	20.542148461669978	(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (.f64 b_2 b_2))) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 c) a (.f64 b_2 b_2))))))
accuracy	33.405161446515294	(-.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (.f64 b_2 b_2)))
accuracy	20.36671800158089	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
accuracy	20.542148461669978	(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))))
accuracy	33.405161446515294	(-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
accuracy	39.32838893101846	#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))
accuracy	0	(/.f64 b_2 c)
accuracy	0.2669383890214195	(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))
accuracy	41.32807274365896	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
accuracy	0	(/.f64 c b_2)
accuracy	0	(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
accuracy	40.939668387282815	#s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
accuracy	42.80249793704673	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
accuracy	0.0078125	(fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))
accuracy	3.8552503698174116	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))) b_2) a)
accuracy	15.170895954057926	(-.f64 (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))) b_2)
accuracy	20.36671800158089	(sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))

Samples

77.0ms	78×	2	valid
35.0ms	93×	0	valid
34.0ms	14×	3	valid
33.0ms	71×	1	valid

Compiler

Compiled 294 to 40 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-div: 31.0ms (30.6% of total)

ival-mult: 21.0ms (20.7% of total)

ival-sub: 15.0ms (14.8% of total)

adjust: 15.0ms (14.8% of total)

ival-sqrt: 8.0ms (7.9% of total)

ival-add: 7.0ms (6.9% of total)

ival-neg: 3.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

series62.0ms (0.7%)

Memory

-43.9MiB live, 66.3MiB allocated

Counts

20 → 636

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	a	@	0	((/ (- (sqrt (+ (* (neg c) a) (* b_2 b_2))) b_2) a) (- (sqrt (+ (* (neg c) a) (* b_2 b_2))) b_2) (sqrt (+ (* (neg c) a) (* b_2 b_2))) (+ (* (neg c) a) (* b_2 b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (* 1/2 (/ c b_2)) (/ c b_2) (/ -1/2 (/ b_2 c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ b_2 c) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (- (* b_2 b_2) (* a c)) (* (neg a) c) (- (* b_2 b_2) (+ (* (neg c) a) (* b_2 b_2))) (/ (- (* b_2 b_2) (+ (* (neg c) a) (* b_2 b_2))) (* a (- (neg b_2) (sqrt (+ (* (neg c) a) (* b_2 b_2)))))) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (sqrt (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (+ (* (neg c) a) (* b_2 b_2)))))
4.0ms	c	@	inf	((/ (- (sqrt (+ (* (neg c) a) (* b_2 b_2))) b_2) a) (- (sqrt (+ (* (neg c) a) (* b_2 b_2))) b_2) (sqrt (+ (* (neg c) a) (* b_2 b_2))) (+ (* (neg c) a) (* b_2 b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (* 1/2 (/ c b_2)) (/ c b_2) (/ -1/2 (/ b_2 c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ b_2 c) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (- (* b_2 b_2) (* a c)) (* (neg a) c) (- (* b_2 b_2) (+ (* (neg c) a) (* b_2 b_2))) (/ (- (* b_2 b_2) (+ (* (neg c) a) (* b_2 b_2))) (* a (- (neg b_2) (sqrt (+ (* (neg c) a) (* b_2 b_2)))))) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (sqrt (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (+ (* (neg c) a) (* b_2 b_2)))))
4.0ms	c	@	-inf	((/ (- (sqrt (+ (* (neg c) a) (* b_2 b_2))) b_2) a) (- (sqrt (+ (* (neg c) a) (* b_2 b_2))) b_2) (sqrt (+ (* (neg c) a) (* b_2 b_2))) (+ (* (neg c) a) (* b_2 b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (* 1/2 (/ c b_2)) (/ c b_2) (/ -1/2 (/ b_2 c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ b_2 c) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (- (* b_2 b_2) (* a c)) (* (neg a) c) (- (* b_2 b_2) (+ (* (neg c) a) (* b_2 b_2))) (/ (- (* b_2 b_2) (+ (* (neg c) a) (* b_2 b_2))) (* a (- (neg b_2) (sqrt (+ (* (neg c) a) (* b_2 b_2)))))) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (sqrt (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (+ (* (neg c) a) (* b_2 b_2)))))
3.0ms	b_2	@	-inf	((/ (- (sqrt (+ (* (neg c) a) (* b_2 b_2))) b_2) a) (- (sqrt (+ (* (neg c) a) (* b_2 b_2))) b_2) (sqrt (+ (* (neg c) a) (* b_2 b_2))) (+ (* (neg c) a) (* b_2 b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (* 1/2 (/ c b_2)) (/ c b_2) (/ -1/2 (/ b_2 c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ b_2 c) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (- (* b_2 b_2) (* a c)) (* (neg a) c) (- (* b_2 b_2) (+ (* (neg c) a) (* b_2 b_2))) (/ (- (* b_2 b_2) (+ (* (neg c) a) (* b_2 b_2))) (* a (- (neg b_2) (sqrt (+ (* (neg c) a) (* b_2 b_2)))))) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (sqrt (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (+ (* (neg c) a) (* b_2 b_2)))))
3.0ms	a	@	inf	((/ (- (sqrt (+ (* (neg c) a) (* b_2 b_2))) b_2) a) (- (sqrt (+ (* (neg c) a) (* b_2 b_2))) b_2) (sqrt (+ (* (neg c) a) (* b_2 b_2))) (+ (* (neg c) a) (* b_2 b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (* 1/2 (/ c b_2)) (/ c b_2) (/ -1/2 (/ b_2 c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ b_2 c) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (- (* b_2 b_2) (* a c)) (* (neg a) c) (- (* b_2 b_2) (+ (* (neg c) a) (* b_2 b_2))) (/ (- (* b_2 b_2) (+ (* (neg c) a) (* b_2 b_2))) (* a (- (neg b_2) (sqrt (+ (* (neg c) a) (* b_2 b_2)))))) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (sqrt (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (+ (* (neg c) a) (* b_2 b_2)))))

simplify201.0ms (2.4%)

Memory

-11.6MiB live, 216.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 010×	`lower-fma.f64`
12 010×	`lower-fma.f32`
8 738×	`lower-*.f64`
8 738×	`lower-*.f32`
4 600×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	858	10725
1	2822	10320
0	8588	9921

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 630

Calls

Call 1

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

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

rewrite181.0ms (2.2%)

Memory

42.4MiB live, 188.9MiB allocated

Rules

5 114×	`lower-*.f32`
5 104×	`lower-*.f64`
4 268×	`lower-/.f32`
4 256×	`lower-/.f64`
3 836×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	256
0	69	241
1	289	224
2	2373	224
0	8356	221

Stop Event

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

Counts

20 → 769

Calls

Call 1

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

Outputs
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eval309.0ms (3.7%)

Memory: -9.8MiB live, 374.0MiB allocated
Compiler: Compiled 57 516 to 4 438 computations (92.3% saved)

prune78.0ms (0.9%)

Memory

34.3MiB live, 148.8MiB allocated

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	1 875	11	1 886
Fresh	8	6	14
Picked	2	3	5
Done	0	1	1
Total	1 885	21	1 906

Accuracy

93.9%

Counts

1 906 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.7%	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) a)
	35.5%	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) a) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))
▶	35.6%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) a)
✓	55.7%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))) b_2) a)
▶	36.6%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) a)
	33.4%	(/.f64 (-.f64 #s(approx (sqrt (+ (* (neg c) a) (* b_2 b_2))) (neg.f64 b_2)) b_2) a)
	34.8%	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) #s(literal 1/2 binary64)))) a)
	27.7%	(/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (.f64 a c)) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))))
▶	44.0%	(/.f64 #s(approx (- (* b_2 b_2) (+ (* (neg c) a) (* b_2 b_2))) (.f64 a c)) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))))))
	36.5%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2)))
▶	55.4%	(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))) a) (/.f64 b_2 a))
	27.5%	#s(approx (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) a) b_2) (/.f64 (.f64 c c) b_2) (*.f64 c #s(literal -1/2 binary64))) b_2))
	21.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 c)) (.f64 (neg.f64 c) b_2)) (*.f64 c c))))
✓	35.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
✓	35.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
▶	35.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
	33.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 b_2) #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))))
	17.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (exp.f64 (.f64 (log.f64 (.f64 (/.f64 b_2 c) #s(literal -2 binary64))) #s(literal -1 binary64))))
	7.6%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c))))
✓	7.6%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
	4.2%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))))))

Compiler

Compiled 493 to 411 computations (16.6% saved)

simplify126.0ms (1.5%)

Memory

19.5MiB live, 126.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

7 408×	`lower-fma.f32`
7 404×	`lower-fma.f64`
2 268×	`lower-*.f32`
2 258×	`lower-*.f64`
1 206×	`lower-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	45	419
0	74	419
1	126	418
2	229	396
3	517	396
4	1675	393
5	4890	393
6	6525	393
7	7552	393
0	8025	393

Stop Event

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

Calls

Call 1

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

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

localize492.0ms (5.9%)

Memory

-69.9MiB live, 371.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	14.816498431176644	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
accuracy	20.36671800158089	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
accuracy	33.405161446515294	(-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
accuracy	39.32838893101846	#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))
accuracy	0.35495443795056525	(.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 c) a (.f64 b_2 b_2)))))
accuracy	11.54191562534175	(-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))))
accuracy	20.36671800158089	(sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))
accuracy	20.542148461669978	(/.f64 #s(approx (- (* b_2 b_2) (+ (* (neg c) a) (* b_2 b_2))) (.f64 a c)) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))))))
accuracy	3.8552503698174116	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) a)
accuracy	15.170895954057926	(-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2)
accuracy	20.36671800158089	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
accuracy	39.32838893101846	#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))
accuracy	0	(/.f64 #s(literal -1/2 binary64) b_2)
accuracy	0.18359375	(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
accuracy	41.32807274365896	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
accuracy	0.0078125	(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
accuracy	0.08984375	(/.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))) a)
accuracy	18.00007617863958	(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))) a) (/.f64 b_2 a))
accuracy	20.36671800158089	(sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 b_2 b_2)))

Samples

75.0ms	81×	2	valid
64.0ms	92×	0	valid
52.0ms	69×	1	valid
18.0ms	14×	3	valid

Compiler

Compiled 348 to 39 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 154.0ms

ival-div: 60.0ms (39% of total)

ival-mult: 32.0ms (20.8% of total)

adjust: 21.0ms (13.7% of total)

ival-sub: 15.0ms (9.8% of total)

ival-sqrt: 15.0ms (9.8% of total)

ival-add: 7.0ms (4.6% of total)

ival-neg: 3.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series81.0ms (1%)

Memory

1.5MiB live, 116.4MiB allocated

Counts

22 → 744

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	b_2	@	inf	((- (/ (sqrt (+ (* a (neg c)) (* b_2 b_2))) a) (/ b_2 a)) (/ (sqrt (+ (* a (neg c)) (* b_2 b_2))) a) (sqrt (+ (* a (neg c)) (* b_2 b_2))) (+ (* a (neg c)) (* b_2 b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ -1/2 b_2) c) (/ -1/2 b_2) (/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (/ (- (* b_2 b_2) (+ (* (neg c) a) (* b_2 b_2))) (* a (- (neg b_2) (sqrt (+ (* (neg c) a) (* b_2 b_2)))))) (- (* b_2 b_2) (+ (* (neg c) a) (* b_2 b_2))) (* a c) (* a (- (neg b_2) (sqrt (+ (* (neg c) a) (* b_2 b_2))))) (/ 1 (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))))) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c)))) (/ (/ 1 (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (+ (* (neg c) a) (* b_2 b_2))) (- (neg b_2) (sqrt (+ (* (neg c) a) (* b_2 b_2)))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))))
7.0ms	c	@	0	((- (/ (sqrt (+ (* a (neg c)) (* b_2 b_2))) a) (/ b_2 a)) (/ (sqrt (+ (* a (neg c)) (* b_2 b_2))) a) (sqrt (+ (* a (neg c)) (* b_2 b_2))) (+ (* a (neg c)) (* b_2 b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ -1/2 b_2) c) (/ -1/2 b_2) (/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (/ (- (* b_2 b_2) (+ (* (neg c) a) (* b_2 b_2))) (* a (- (neg b_2) (sqrt (+ (* (neg c) a) (* b_2 b_2)))))) (- (* b_2 b_2) (+ (* (neg c) a) (* b_2 b_2))) (* a c) (* a (- (neg b_2) (sqrt (+ (* (neg c) a) (* b_2 b_2))))) (/ 1 (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))))) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c)))) (/ (/ 1 (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (+ (* (neg c) a) (* b_2 b_2))) (- (neg b_2) (sqrt (+ (* (neg c) a) (* b_2 b_2)))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))))
6.0ms	b_2	@	0	((- (/ (sqrt (+ (* a (neg c)) (* b_2 b_2))) a) (/ b_2 a)) (/ (sqrt (+ (* a (neg c)) (* b_2 b_2))) a) (sqrt (+ (* a (neg c)) (* b_2 b_2))) (+ (* a (neg c)) (* b_2 b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ -1/2 b_2) c) (/ -1/2 b_2) (/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (/ (- (* b_2 b_2) (+ (* (neg c) a) (* b_2 b_2))) (* a (- (neg b_2) (sqrt (+ (* (neg c) a) (* b_2 b_2)))))) (- (* b_2 b_2) (+ (* (neg c) a) (* b_2 b_2))) (* a c) (* a (- (neg b_2) (sqrt (+ (* (neg c) a) (* b_2 b_2))))) (/ 1 (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))))) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c)))) (/ (/ 1 (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (+ (* (neg c) a) (* b_2 b_2))) (- (neg b_2) (sqrt (+ (* (neg c) a) (* b_2 b_2)))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))))
5.0ms	c	@	inf	((- (/ (sqrt (+ (* a (neg c)) (* b_2 b_2))) a) (/ b_2 a)) (/ (sqrt (+ (* a (neg c)) (* b_2 b_2))) a) (sqrt (+ (* a (neg c)) (* b_2 b_2))) (+ (* a (neg c)) (* b_2 b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ -1/2 b_2) c) (/ -1/2 b_2) (/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (/ (- (* b_2 b_2) (+ (* (neg c) a) (* b_2 b_2))) (* a (- (neg b_2) (sqrt (+ (* (neg c) a) (* b_2 b_2)))))) (- (* b_2 b_2) (+ (* (neg c) a) (* b_2 b_2))) (* a c) (* a (- (neg b_2) (sqrt (+ (* (neg c) a) (* b_2 b_2))))) (/ 1 (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))))) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c)))) (/ (/ 1 (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (+ (* (neg c) a) (* b_2 b_2))) (- (neg b_2) (sqrt (+ (* (neg c) a) (* b_2 b_2)))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))))
4.0ms	c	@	-inf	((- (/ (sqrt (+ (* a (neg c)) (* b_2 b_2))) a) (/ b_2 a)) (/ (sqrt (+ (* a (neg c)) (* b_2 b_2))) a) (sqrt (+ (* a (neg c)) (* b_2 b_2))) (+ (* a (neg c)) (* b_2 b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ -1/2 b_2) c) (/ -1/2 b_2) (/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (/ (- (* b_2 b_2) (+ (* (neg c) a) (* b_2 b_2))) (* a (- (neg b_2) (sqrt (+ (* (neg c) a) (* b_2 b_2)))))) (- (* b_2 b_2) (+ (* (neg c) a) (* b_2 b_2))) (* a c) (* a (- (neg b_2) (sqrt (+ (* (neg c) a) (* b_2 b_2))))) (/ 1 (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))))) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c)))) (/ (/ 1 (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (+ (* (neg c) a) (* b_2 b_2))) (- (neg b_2) (sqrt (+ (* (neg c) a) (* b_2 b_2)))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))))

simplify317.0ms (3.8%)

Memory

6.1MiB live, 236.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 828×	`lower-fma.f64`
8 828×	`lower-fma.f32`
7 652×	`lower-*.f64`
7 652×	`lower-*.f32`
5 390×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1320	16113
1	4431	15672
0	8947	15058

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 735

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

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

rewrite245.0ms (2.9%)

Memory

4.9MiB live, 202.6MiB allocated

Rules

4 740×	`lower-*.f32`
4 730×	`lower-*.f64`
4 332×	`lower-/.f32`
4 318×	`lower-/.f64`
2 390×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	339
0	74	297
1	311	280
2	2317	280
0	8313	278

Stop Event

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

Counts

22 → 975

Calls

Call 1

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

Outputs
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eval346.0ms (4.1%)

Memory: 21.7MiB live, 556.9MiB allocated
Compiler: Compiled 50 623 to 5 234 computations (89.7% saved)

prune93.0ms (1.1%)

Memory

35.3MiB live, 225.5MiB allocated

Pruning

25 alts after pruning (17 fresh and 8 done)

	Pruned	Kept	Total
New	1 840	10	1 850
Fresh	5	7	12
Picked	1	4	5
Done	0	4	4
Total	1 846	25	1 871

Accuracy

93.9%

Counts

1 871 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.2%	(/.f64 (/.f64 #s(approx (- (* b_2 b_2) (+ (* (neg c) a) (* b_2 b_2))) (.f64 c a)) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))))) a)
	50.9%	(/.f64 (/.f64 #s(approx (- (* b_2 b_2) (+ (* (neg c) a) (* b_2 b_2))) (.f64 c a)) a) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)))))
	32.6%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) #s(approx (- ( b_2 b_2) (- (* b_2 b_2) (* a c))) (*.f64 a c)))) a)
	30.1%	(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64))) a))) a)
	33.3%	(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c)))) (/.f64 #s(literal -1/2 binary64) b_2))) a)
	27.2%	(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c)))) (.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) (*.f64 a c))) b_2))) a)
✓	55.7%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))) b_2) a)
✓	36.6%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) a)
	33.4%	(/.f64 (-.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (neg.f64 b_2)) b_2) a)
	34.8%	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) #s(literal 1/2 binary64)))) a)
	27.7%	(/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (.f64 a c)) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))))
✓	44.0%	(/.f64 #s(approx (- (* b_2 b_2) (+ (* (neg c) a) (* b_2 b_2))) (.f64 a c)) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))))))
	28.2%	(/.f64 #s(approx (- (* b_2 b_2) (+ (* (neg c) a) (* b_2 b_2))) (.f64 a c)) (.f64 a (-.f64 (neg.f64 b_2) #s(approx (sqrt (+ (* (neg c) a) (* b_2 b_2))) (fma.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64) b_2)))))
	27.7%	(/.f64 #s(approx (- (* b_2 b_2) (+ (* (neg c) a) (* b_2 b_2))) (.f64 a c)) (.f64 a #s(approx (- (neg b_2) (sqrt (+ (* (neg c) a) (* b_2 b_2)))) (*.f64 #s(literal -2 binary64) b_2))))
	36.5%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2)))
✓	55.4%	(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))) a) (/.f64 b_2 a))
	27.5%	#s(approx (/ (/ 1 (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))))) a) (/.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) a) b_2) (/.f64 (.f64 c c) b_2) (*.f64 c #s(literal -1/2 binary64))) b_2))
	21.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 c)) (.f64 (neg.f64 c) b_2)) (*.f64 c c))))
✓	35.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
✓	35.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
✓	35.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
	33.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 b_2) #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))))
	7.6%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c))))
✓	7.6%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
	4.2%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))))))

Compiler

Compiled 1 218 to 516 computations (57.6% saved)

regimes88.0ms (1.1%)

Memory

-3.2MiB live, 156.3MiB allocated

Counts

52 → 4

Calls

Call 1

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

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

Calls

4 calls:

39.0ms	a
16.0ms	c
16.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
14.0ms	b_2

Results

Accuracy	Segments	Branch
57.4%	2	`a`
90.6%	4	`b_2`
58.0%	2	`c`
78.8%	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes11.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated

Counts

30 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

9.0ms

b_2

Results

Accuracy	Segments	Branch
89.0%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes24.0ms (0.3%)

Memory

-28.7MiB live, 9.1MiB allocated

Counts

22 → 3

Calls

Call 1

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

Outputs

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

(/.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 b_2) #s(literal -1/2 binary64)))

Calls

1 calls:

22.0ms

b_2

Results

Accuracy	Segments	Branch
89.0%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

5.0ms

b_2

Results

Accuracy	Segments	Branch
89.0%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

5.0ms

b_2

Results

Accuracy	Segments	Branch
86.4%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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
51.6%	3	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
66.2%	2	`b_2`

Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes48.0ms (0.6%)

Memory

-26.3MiB live, 12.2MiB 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 b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))

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

Calls

4 calls:

41.0ms	b_2
2.0ms	c
2.0ms	a
2.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
35.4%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
35.4%	1	`a`
35.4%	1	`c`
35.4%	1	`b_2`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes8.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB 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 b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))

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

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

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
35.3%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
35.3%	1	`a`
35.3%	1	`c`
35.3%	1	`b_2`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes5.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
7.6%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
7.6%	1	`a`
7.6%	1	`c`
7.6%	1	`b_2`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch130.0ms (1.6%)

Memory

-12.0MiB live, 69.4MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
57.0ms	5.698429248784643e+33	1.5601585335250443e+39
20.0ms	1.1120990621755387e-293	1.1222253457814712e-288
47.0ms	-4.451595271589295e+157	-2.6013754892648033e+146

Samples

56.0ms	205×	0	valid
9.0ms	54×	2	valid
7.0ms	56×	1	valid
5.0ms	70×	0	invalid
1.0ms	5×	3	valid

Compiler

Compiled 560 to 477 computations (14.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 6.0ms (25% of total)

ival-div: 4.0ms (16.6% of total)

ival-sqrt: 4.0ms (16.6% of total)

adjust: 3.0ms (12.5% of total)

ival-sub: 3.0ms (12.5% of total)

ival-add: 3.0ms (12.5% of total)

ival-neg: 2.0ms (8.3% of total)

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

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

bsearch47.0ms (0.6%)

Memory

-26.0MiB live, 12.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
17.0ms	1.1657053650120305e-97	3.770776440084807e-96
0.0ms	-4.451595271589295e+157	-2.6013754892648033e+146

Samples

5.0ms	75×	0	valid
3.0ms	24×	1	valid
2.0ms	13×	2	valid
2.0ms	24×	0	invalid

Compiler

Compiled 196 to 187 computations (4.6% saved)

Precisions

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

ival-mult: 2.0ms (25.1% of total)

ival-div: 1.0ms (12.5% of total)

adjust: 1.0ms (12.5% of total)

ival-sub: 1.0ms (12.5% of total)

ival-sqrt: 1.0ms (12.5% of total)

ival-add: 1.0ms (12.5% of total)

ival-neg: 1.0ms (12.5% of total)

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

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

bsearch2.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
1.0ms	1.1657053650120305e-97	3.770776440084807e-96
0.0ms	-4.451595271589295e+157	-2.6013754892648033e+146

Compiler

Compiled 187 to 187 computations (0% saved)

bsearch1.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
1.0ms	1.1657053650120305e-97	3.770776440084807e-96
0.0ms	-4.451595271589295e+157	-2.6013754892648033e+146

Compiler

Compiled 178 to 178 computations (0% saved)

bsearch28.0ms (0.3%)

Memory

25.6MiB live, 62.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.1657053650120305e-97	3.770776440084807e-96
11.0ms	-3.1037112911824472e-9	-2.0792347988924551e-10

Samples

9.0ms	139×	0	valid
5.0ms	34×	0	invalid
2.0ms	10×	2	valid
1.0ms	11×	1	valid

Compiler

Compiled 224 to 250 computations (-11.6% saved)

Precisions

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

ival-add: 4.0ms (32.4% of total)

ival-mult: 3.0ms (24.3% of total)

ival-div: 2.0ms (16.2% of total)

ival-sqrt: 2.0ms (16.2% of total)

adjust: 1.0ms (8.1% of total)

ival-sub: 1.0ms (8.1% of total)

ival-neg: 1.0ms (8.1% of total)

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

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

bsearch34.0ms (0.4%)

Memory

-40.6MiB live, 27.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	-7.874055509382967e-306	8.332268788030009e-308

Samples

9.0ms	128×	0	valid
5.0ms	78×	0	invalid

Compiler

Compiled 112 to 144 computations (-28.6% saved)

Precisions

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

ival-mult: 3.0ms (35.1% of total)

ival-sub: 1.0ms (11.7% of total)

ival-div: 1.0ms (11.7% of total)

ival-add: 1.0ms (11.7% of total)

ival-sqrt: 1.0ms (11.7% of total)

ival-neg: 1.0ms (11.7% of total)

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

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

simplify32.0ms (0.4%)

Memory

-6.4MiB live, 68.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	92	436
1	116	435
2	141	435
3	157	435
4	166	435
5	174	435
6	179	435
7	182	435
8	183	435

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 2247116418577895/2808895523222368605827039360607851146278089029597354019897345018089573059460952548948569958162617750330001779372990521213418590137725259726450741103741783193402623334763523207442222181269470220616454421126328215138096104411600982523029892352200425580677351729446660909999175717788745567263052442650378502144 binary64)) (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (.f64 b_2 b_2))) a) (/.f64 b_2 a)) (if (<=.f64 b_2 #s(literal 11800000000000000164832778871898112 binary64)) (/.f64 (/.f64 #s(approx (- (* b_2 b_2) (+ (* (neg c) a) (* b_2 b_2))) (.f64 c a)) a) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))))) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))))
(if (<=.f64 b_2 #s(literal -100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 8898158137613499/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (.f64 b_2 b_2))) a) (/.f64 b_2 a)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 8898158137613499/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 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 b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 8898158137613499/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 c) a (.f64 b_2 b_2))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -1450710983537555/4835703278458516698824704 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 2344784914641395/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#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 b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))

Outputs
(if (<=.f64 b_2 #s(literal -100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 2247116418577895/2808895523222368605827039360607851146278089029597354019897345018089573059460952548948569958162617750330001779372990521213418590137725259726450741103741783193402623334763523207442222181269470220616454421126328215138096104411600982523029892352200425580677351729446660909999175717788745567263052442650378502144 binary64)) (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (.f64 b_2 b_2))) a) (/.f64 b_2 a)) (if (<=.f64 b_2 #s(literal 11800000000000000164832778871898112 binary64)) (/.f64 (/.f64 #s(approx (- (* b_2 b_2) (+ (* (neg c) a) (* b_2 b_2))) (.f64 c a)) a) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))))) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))))
(if (<=.f64 b_2 #s(literal -100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 2247116418577895/2808895523222368605827039360607851146278089029597354019897345018089573059460952548948569958162617750330001779372990521213418590137725259726450741103741783193402623334763523207442222181269470220616454421126328215138096104411600982523029892352200425580677351729446660909999175717788745567263052442650378502144 binary64)) (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (.f64 b_2 b_2))) a) (/.f64 b_2 a)) (if (<=.f64 b_2 #s(literal 11800000000000000164832778871898112 binary64)) (/.f64 (/.f64 #s(approx (- (* b_2 b_2) (+ (* (neg c) a) (* b_2 b_2))) (.f64 c a)) a) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 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))))))
(if (<=.f64 b_2 #s(literal -100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 8898158137613499/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (.f64 b_2 b_2))) a) (/.f64 b_2 a)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 8898158137613499/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) (-.f64 (/.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (.f64 b_2 b_2))) a) (/.f64 b_2 a)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))))
(if (<=.f64 b_2 #s(literal -100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 8898158137613499/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 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 b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 8898158137613499/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))))
(if (<=.f64 b_2 #s(literal -100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 8898158137613499/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 c) a (.f64 b_2 b_2))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -100000000000000004625108135904199474001226272395072688491888727201272553753779650923383419882203425131989662450489690590919397689516441796634752009109504 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 8898158137613499/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 c) a (.f64 b_2 b_2))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))))
(if (<=.f64 b_2 #s(literal -1450710983537555/4835703278458516698824704 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 2344784914641395/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -1450710983537555/4835703278458516698824704 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 2344784914641395/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))))
(if (<=.f64 b_2 #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
(if (<=.f64 b_2 #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c 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 #s(literal -1/2 binary64) b_2) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))

soundness1.2s (13.8%)

Memory

32.3MiB live, 795.5MiB allocated

Rules

12 010×	`lower-fma.f64`
12 010×	`lower-fma.f32`
11 022×	`lower-fma.f64`
11 022×	`lower-fma.f32`
8 738×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	256
0	69	241
1	289	224
2	2373	224
0	8356	221
0	508	3200
1	1606	3160
2	5523	3144
0	8787	3008
0	45	339
0	74	297
1	311	280
2	2317	280
0	8313	278
0	1462	15763
1	4917	14382
0	8693	13783
0	48	312
0	79	312
1	320	228
0	2503	228
0	10	41
0	17	41
1	64	39
2	463	38
3	5888	38
0	8611	34
0	858	10725
1	2822	10320
0	8588	9921

Stop Event

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

Compiler

Compiled 444 to 254 computations (42.8% saved)

preprocess177.0ms (2.1%)

Memory: -25.3MiB live, 165.0MiB allocated
Compiler: Compiled 642 to 218 computations (66% saved)

end0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB 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	92	436
1	116	435
2	141	435
3	157	435
4	166	435
5	174	435
6	179	435
7	182	435
8	183	435

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	92	436
1	116	435
2	141	435
3	157	435
4	166	435
5	174	435
6	179	435
7	182	435
8	183	435

start0.0ms (0%)

analyze134.0ms (1.6%)

sample1.5s (17.3%)

explain264.0ms (3.2%)

preprocess106.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify33.0ms (0.4%)

localize37.0ms (0.4%)

series24.0ms (0.3%)

simplify183.0ms (2.2%)

rewrite166.0ms (2%)

eval83.0ms (1%)

prune260.0ms (3.1%)

simplify123.0ms (1.5%)

localize131.0ms (1.6%)

series108.0ms (1.3%)

simplify278.0ms (3.3%)

rewrite94.0ms (1.1%)

eval184.0ms (2.2%)

prune47.0ms (0.6%)

simplify125.0ms (1.5%)

localize206.0ms (2.5%)

series62.0ms (0.7%)

simplify201.0ms (2.4%)

rewrite181.0ms (2.2%)

eval309.0ms (3.7%)

prune78.0ms (0.9%)

simplify126.0ms (1.5%)

localize492.0ms (5.9%)

series81.0ms (1%)

simplify317.0ms (3.8%)

rewrite245.0ms (2.9%)

eval346.0ms (4.1%)

prune93.0ms (1.1%)

regimes88.0ms (1.1%)

regimes11.0ms (0.1%)

regimes24.0ms (0.3%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes9.0ms (0.1%)

regimes48.0ms (0.6%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch130.0ms (1.6%)

bsearch47.0ms (0.6%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch28.0ms (0.3%)

bsearch34.0ms (0.4%)

simplify32.0ms (0.4%)

soundness1.2s (13.8%)

preprocess177.0ms (2.1%)

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

Iter	Nodes	Cost
0	92	436
1	116	435
2	141	435
3	157	435
4	166	435
5	174	435
6	179	435
7	182	435
8	183	435