Metrics for quad2m (problem 3.2.1, negative)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze156.0ms (1.7%)

Memory

12.6MiB live, 240.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 12 computations (20% saved)

sample2.2s (22.9%)

Memory

-107.2MiB live, 2 171.8MiB allocated

Samples

645.0ms	5 545×	0	valid
492.0ms	1 314×	1	valid
452.0ms	1 210×	2	valid
80.0ms	1 135×	0	invalid
59.0ms	187×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-mult: 468.0ms (45.3% of total)

ival-sub: 168.0ms (16.3% of total)

ival-div: 125.0ms (12.1% of total)

ival-sqrt: 120.0ms (11.6% of total)

adjust: 83.0ms (8% of total)

ival-neg: 58.0ms (5.6% of total)

ival-true: 7.0ms (0.7% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain159.0ms (1.7%)

Memory

34.2MiB live, 353.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
109	0	-	0	-	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
57	1	(-1.3105129709639492e+67 -6.6941176978178335e+215 5.470318477633358e-174)	0	-	`(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
17	0	-	1	(-4.0339924435008164e-138 -5.749282755113814e+246 7.842632566964189e+65)	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
1	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	103	0
↳	`(*.f64 b_2 b_2)`	overflow	84
↳	`(*.f64 a c)`	overflow	25
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	overflow	103
`-.f64`	`(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	cancellation	58	0
`/.f64`	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`	u/n	16	0
↳	`(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	underflow	30
↳	`(*.f64 b_2 b_2)`	underflow	43
↳	`(*.f64 a c)`	underflow	27
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	6
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	uflow-rescue	6	0
↳	`(*.f64 b_2 b_2)`	underflow	43
↳	`(*.f64 a c)`	underflow	27
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	6
`-.f64`	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	nan-rescue	1	0
↳	`(*.f64 b_2 b_2)`	overflow	84
↳	`(*.f64 a c)`	overflow	25

Confusion

	Predicted +	Predicted -
+	130	0
-	16	110

Precision

0.8904109589041096

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	130	0	0
-	16	0	110

Precision?

0.8904109589041096

Recall?

1.0

Freqs

test

number	freq
0	110
1	109
2	36
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms	336×	0	valid
21.0ms	104×	2	valid
12.0ms	62×	1	valid
2.0ms	10×	3	valid

Compiler

Compiled 120 to 34 computations (71.7% saved)

Precisions

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

ival-sqrt: 11.0ms (27.4% of total)

ival-mult: 8.0ms (19.9% of total)

ival-sub: 7.0ms (17.5% of total)

ival-div: 6.0ms (15% of total)

adjust: 5.0ms (12.5% of total)

ival-neg: 3.0ms (7.5% of total)

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

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

preprocess138.0ms (1.5%)

Memory

-12.1MiB live, 102.8MiB allocated

Algorithm

1×	egg-herbie

Rules

820×	`div-sub`
774×	`times-frac`
416×	`lower-fma.f64`
416×	`lower-fma.f32`
372×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.1%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify44.0ms (0.5%)

Memory

0.2MiB live, 36.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

416×	`lower-fma.f64`
416×	`lower-fma.f32`
264×	`lower-*.f32`
260×	`lower-*.f64`
120×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize142.0ms (1.5%)

Memory

-16.0MiB live, 68.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.19921875000000003	(-.f64 (.f64 b_2 b_2) (.f64 a c))
accuracy	3.8882807576152523	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
accuracy	13.275525269987526	(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
accuracy	25.47239180866788	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Samples

111.0ms	168×	0	valid
15.0ms	52×	2	valid
4.0ms	31×	1	valid
1.0ms	5×	3	valid

Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions

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

ival-sub: 4.0ms (22.6% of total)

ival-mult: 4.0ms (22.6% of total)

ival-sqrt: 3.0ms (16.9% of total)

ival-div: 3.0ms (16.9% of total)

adjust: 2.0ms (11.3% of total)

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

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

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

series55.0ms (0.6%)

Memory

1.8MiB live, 39.7MiB allocated

Counts

5 → 156

Calls

Call 1

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

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

Calls

39 calls:

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

simplify316.0ms (3.4%)

Memory

23.6MiB live, 457.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 494×	`lower-fma.f64`
8 494×	`lower-fma.f32`
6 878×	`lower-*.f64`
6 878×	`lower-*.f32`
2 476×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	528	3105
1	1657	3067
2	5513	3045
0	8289	2913

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 153

Calls

Call 1

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

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

rewrite364.0ms (3.9%)

Memory

-19.3MiB live, 347.1MiB allocated

Rules

4 618×	`lower-fma.f64`
4 618×	`lower-fma.f32`
3 760×	`lower-*.f32`
3 756×	`lower-*.f64`
2 318×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

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

Counts

5 → 440

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))) #s(literal -1 binary64)))
(+.f64 (/.f64 b_2 a) (neg.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)))
(+.f64 (/.f64 b_2 a) (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) a))))
(+.f64 (/.f64 b_2 a) (.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))))
(+.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)) (/.f64 b_2 a))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) (/.f64 b_2 a))
(+.f64 (.f64 (/.f64 b_2 a) #s(literal 1 binary64)) (.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)) #s(literal 1 binary64)))
(-.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a))
(-.f64 (/.f64 (/.f64 (.f64 b_2 (.f64 b_2 b_2)) (fma.f64 b_2 b_2 (fma.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a) (/.f64 (/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (fma.f64 b_2 b_2 (.f64 a c))) (+.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) a))
(-.f64 (/.f64 (/.f64 (.f64 b_2 b_2) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a) (/.f64 (/.f64 (fma.f64 b_2 b_2 (.f64 a c)) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a))
(-.f64 (/.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a (fma.f64 b_2 b_2 (fma.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 a (fma.f64 b_2 b_2 (fma.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))))
(-.f64 (/.f64 (.f64 b_2 b_2) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))))
(-.f64 (/.f64 (.f64 b_2 a) (.f64 a a)) (/.f64 (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 a a)))
(-.f64 (/.f64 (/.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a (.f64 a a))) (fma.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 (.f64 b_2 b_2) (.f64 a a)))) (/.f64 (/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 a (.f64 a a))) (fma.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 (.f64 b_2 b_2) (*.f64 a a)))))
(-.f64 (/.f64 (/.f64 (.f64 b_2 b_2) (.f64 a a)) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)) (/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 a a)) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) a)))
(fma.f64 b_2 (/.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)))
(fma.f64 b_2 (/.f64 #s(literal 1 binary64) a) (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) a))))
(fma.f64 b_2 (/.f64 #s(literal 1 binary64) a) (.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))))
(fma.f64 b_2 (/.f64 #s(literal -1 binary64) a) (neg.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)))
(fma.f64 b_2 (/.f64 #s(literal -1 binary64) a) (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) a))))
(fma.f64 b_2 (/.f64 #s(literal -1 binary64) a) (.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))))
(fma.f64 b_2 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (neg.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) a)))
(fma.f64 b_2 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a))))
(fma.f64 b_2 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
(fma.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 #s(literal -1 binary64) a) (/.f64 b_2 a))
(fma.f64 (/.f64 b_2 a) #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) a)) #s(literal 1 binary64)))
(fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)))
(fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) a))))
(fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))))
(fma.f64 #s(literal 1 binary64) (/.f64 b_2 a) (neg.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)))
(fma.f64 #s(literal 1 binary64) (/.f64 b_2 a) (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) a))))
(fma.f64 #s(literal 1 binary64) (/.f64 b_2 a) (.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) b_2 (neg.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) b_2 (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) a))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) b_2 (.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (/.f64 b_2 a))
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (/.f64 #s(literal 1 binary64) a) (/.f64 b_2 a))
(fma.f64 #s(literal -1 binary64) (/.f64 b_2 a) (neg.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)))
(fma.f64 #s(literal -1 binary64) (/.f64 b_2 a) (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) a))))
(fma.f64 #s(literal -1 binary64) (/.f64 b_2 a) (.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a))
(neg.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) a)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))
(/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (fma.f64 b_2 (.f64 b_2 b_2) (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (fma.f64 b_2 b_2 (.f64 a c)))) (.f64 a (fma.f64 b_2 b_2 (fma.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
(/.f64 (fma.f64 b_2 (.f64 b_2 b_2) (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (fma.f64 b_2 b_2 (.f64 a c)))) (.f64 (+.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (neg.f64 a)))
(/.f64 (fma.f64 b_2 (.f64 b_2 b_2) (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (fma.f64 b_2 b_2 (.f64 a c)))) (.f64 (neg.f64 a) (+.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (-.f64 (.f64 b_2 a) (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 (.f64 b_2 b_2) (.f64 a a))) (-.f64 (/.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a (.f64 a a))) (/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 a (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (-.f64 (/.f64 (.f64 b_2 b_2) (.f64 a a)) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (/.f64 (fma.f64 b_2 (.f64 b_2 b_2) (.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (fma.f64 b_2 b_2 (*.f64 a c)))) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) a)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) (neg.f64 a)))
(/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
(/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a)))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 b_2 b_2) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (/.f64 (.f64 b_2 b_2) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (.f64 (/.f64 (fma.f64 b_2 b_2 (.f64 a c)) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (/.f64 (fma.f64 b_2 b_2 (.f64 a c)) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (fma.f64 b_2 (/.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (/.f64 (fma.f64 b_2 b_2 (.f64 a c)) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))))
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(.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
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(.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
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(.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))
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(.f64 (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 a c))))
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b_2
(exp.f64 (*.f64 (log.f64 b_2) #s(literal 1 binary64)))
(+.f64 b_2 #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) b_2)
(-.f64 #s(literal 0 binary64) b_2)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b_2 b_2)) b_2)
(-.f64 (/.f64 #s(literal 0 binary64) b_2) b_2)
(fma.f64 b_2 #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 b_2 #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 b_2 b_2) (/.f64 #s(literal 1 binary64) b_2) #s(literal 0 binary64))
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(fma.f64 #s(literal 1 binary64) b_2 #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) b_2 #s(literal 0 binary64))
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(neg.f64 b_2)
(/.f64 (*.f64 b_2 b_2) b_2)
(/.f64 (.f64 b_2 (.f64 b_2 b_2)) (*.f64 b_2 b_2))
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(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 b_2 b_2)))
(pow.f64 b_2 #s(literal 1 binary64))
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(*.f64 b_2 #s(literal 1 binary64))
(*.f64 b_2 #s(literal -1 binary64))
(.f64 (.f64 b_2 b_2) (/.f64 #s(literal 1 binary64) b_2))
(.f64 (.f64 b_2 (.f64 b_2 b_2)) (/.f64 #s(literal 1 binary64) (.f64 b_2 b_2)))
(*.f64 #s(literal 1 binary64) b_2)
(*.f64 #s(literal -1 binary64) b_2)
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(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #s(literal 2 binary64)))
(fabs.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
(neg.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
(/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
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(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))) (.f64 (.f64 a (.f64 a c)) (.f64 c (.f64 a c))))) (sqrt.f64 (fma.f64 a (.f64 c (fma.f64 b_2 b_2 (.f64 a c))) (.f64 b_2 (.f64 b_2 (*.f64 b_2 b_2))))))
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(/.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))) (.f64 (.f64 a (.f64 a c)) (.f64 c (.f64 a c)))))) (neg.f64 (sqrt.f64 (fma.f64 a (.f64 c (fma.f64 b_2 b_2 (.f64 a c))) (.f64 b_2 (.f64 b_2 (*.f64 b_2 b_2)))))))
(/.f64 (neg.f64 (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (fma.f64 b_2 b_2 (.f64 a c))))) (neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #s(literal 1 binary64))
(pow.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 c (fma.f64 b_2 b_2 (.f64 a c))) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))) (sqrt.f64 (-.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))) (.f64 (.f64 a (.f64 a c)) (.f64 c (*.f64 a c)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) (sqrt.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))
(.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
(.f64 (sqrt.f64 (-.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))) (.f64 (.f64 a (.f64 a c)) (.f64 c (.f64 a c))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 c (fma.f64 b_2 b_2 (.f64 a c))) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))) (.f64 (.f64 a (.f64 a c)) (.f64 c (.f64 a c))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 c (fma.f64 b_2 b_2 (.f64 a c))) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))))))
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eval75.0ms (0.8%)

Memory: 18.5MiB live, 174.3MiB allocated
Compiler: Compiled 20 623 to 2 006 computations (90.3% saved)

prune108.0ms (1.1%)

Memory

6.4MiB live, 204.3MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

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

Accuracy

91.8%

Counts

594 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.5%	(/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
▶	21.5%	(/.f64 (-.f64 (.f64 b_2 a) (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (*.f64 a a))
	50.9%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) a)
✓	51.1%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	30.9%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a))))) a)
	11.4%	(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 b_2 (fma.f64 (.f64 a #s(literal 1/2 binary64)) (/.f64 c (*.f64 b_2 b_2)) #s(literal -1 binary64))))) a)
	26.1%	(/.f64 (.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (/.f64 #s(literal -1 binary64) a)) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
	35.1%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
▶	30.4%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 a (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))) a)
	30.7%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
▶	51.0%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
	34.9%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a))))
	36.3%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
▶	34.4%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 b_2 (fma.f64 c (/.f64 #s(literal 1/2 binary64) (.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a))))
▶	35.0%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))

Compiler

Compiled 480 to 290 computations (39.6% saved)

simplify185.0ms (2%)

Memory

12.6MiB live, 205.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))
cost-diff	0	(*.f64 b_2 a)
cost-diff	320	(-.f64 (.f64 b_2 a) (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
cost-diff	640	(/.f64 (-.f64 (.f64 b_2 a) (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (*.f64 a a))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2))
cost-diff	0	(fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a))
cost-diff	0	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 b_2 (fma.f64 c (/.f64 #s(literal 1/2 binary64) (.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a))))
cost-diff	320	(.f64 b_2 (fma.f64 c (/.f64 #s(literal 1/2 binary64) (.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
cost-diff	0	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
cost-diff	0	(.f64 a (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))
cost-diff	0	#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 a (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
cost-diff	0	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 a (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))) a)
cost-diff	0	(/.f64 #s(literal -2 binary64) a)
cost-diff	0	(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
cost-diff	0	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
cost-diff	0	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
cost-diff	0	(+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
cost-diff	0	(/.f64 #s(literal -1 binary64) a)
cost-diff	192	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))

Rules

4 528×	`lower-fma.f32`
4 526×	`lower-fma.f64`
3 600×	`lower-*.f32`
3 580×	`lower-*.f64`
2 394×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	277
0	59	277
1	115	272
2	223	270
3	422	266
4	728	266
5	2101	266
6	4499	266
7	7803	266
0	8010	264

Stop Event

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

Calls

Call 1

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

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

localize203.0ms (2.2%)

Memory

14.9MiB live, 279.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.19921875000000003	(-.f64 (.f64 b_2 b_2) (.f64 a c))
accuracy	11.47678767639845	(-.f64 (.f64 b_2 a) (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
accuracy	25.47239180866787	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
accuracy	26.76085302877311	(/.f64 (-.f64 (.f64 b_2 a) (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (*.f64 a a))
accuracy	0.8425829311287445	(/.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2))
accuracy	2.8480829989027123	(fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a))
accuracy	4.1218596342450855	(.f64 b_2 (fma.f64 c (/.f64 #s(literal 1/2 binary64) (.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
accuracy	41.58802005360687	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 b_2 (fma.f64 c (/.f64 #s(literal 1/2 binary64) (.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a))))
accuracy	0	(*.f64 c #s(literal -1/2 binary64))
accuracy	3.8882807576152523	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 a (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))) a)
accuracy	5.289881465501832	(.f64 a (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))
accuracy	40.699699257282546	#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 a (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
accuracy	0	(/.f64 #s(literal -2 binary64) a)
accuracy	0.18359375	(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
accuracy	41.51249662083147	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
accuracy	0.19921875000000003	(-.f64 (.f64 b_2 b_2) (.f64 a c))
accuracy	4.017187007615252	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
accuracy	13.275525269987526	(+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
accuracy	25.47239180866787	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Samples

47.0ms	82×	2	valid
30.0ms	77×	1	valid
20.0ms	84×	0	valid
18.0ms	13×	3	valid

Compiler

Compiled 246 to 33 computations (86.6% saved)

Precisions

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

ival-mult: 20.0ms (29.6% of total)

ival-div: 17.0ms (25.1% of total)

adjust: 10.0ms (14.8% of total)

ival-sub: 9.0ms (13.3% of total)

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

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

ival-neg: 1.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series66.0ms (0.7%)

Memory

-2.5MiB live, 119.6MiB allocated

Counts

21 → 624

Calls

Call 1

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

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

Calls

156 calls:

Time	Variable		Point	Expression
5.0ms	b_2	@	inf	(* b_2 a)
5.0ms	a	@	-inf	(* b_2 (/ -2 a))
4.0ms	c	@	0	(/ (- (* b_2 a) (* a (sqrt (- (* b_2 b_2) (* a c))))) (* a a))
1.0ms	b_2	@	0	(* b_2 (+ (* c (/ 1/2 (* b_2 b_2))) (/ -2 a)))
1.0ms	a	@	0	(/ (- (* b_2 a) (* a (sqrt (- (* b_2 b_2) (* a c))))) (* a a))

simplify328.0ms (3.5%)

Memory

-25.8MiB live, 427.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 028×	`lower-fma.f64`
11 028×	`lower-fma.f32`
7 542×	`lower-*.f64`
7 542×	`lower-*.f32`
5 414×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	950	11121
1	3126	10953
0	8339	10489

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 621

Calls

Call 1

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

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

rewrite441.0ms (4.7%)

Memory

15.4MiB live, 377.6MiB allocated

Rules

4 870×	`lower-/.f32`
4 858×	`lower-/.f64`
4 226×	`lower-*.f32`
4 210×	`lower-fma.f32`
4 208×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	222
0	59	222
1	219	217
2	1643	217
0	8138	217

Stop Event

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

Counts

21 → 985

Calls

Call 1

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

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

eval334.0ms (3.5%)

Memory: 1.1MiB live, 300.2MiB allocated
Compiler: Compiled 45 685 to 4 210 computations (90.8% saved)

prune309.0ms (3.3%)

Memory

-7.2MiB live, 445.6MiB allocated

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	1 768	12	1 780
Fresh	1	8	9
Picked	2	3	5
Done	0	1	1
Total	1 771	24	1 795

Accuracy

91.8%

Counts

1 795 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.5%	(/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
	15.3%	(/.f64 (-.f64 (.f64 b_2 a) (.f64 a (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (neg.f64 (.f64 a c)))))) (.f64 a a))
▶	50.9%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) a)
✓	51.1%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
▶	30.9%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a))))) a)
▶	11.4%	(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 b_2 (fma.f64 (.f64 a #s(literal 1/2 binary64)) (/.f64 c (*.f64 b_2 b_2)) #s(literal -1 binary64))))) a)
	26.1%	(/.f64 (.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (/.f64 #s(literal -1 binary64) a)) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
	1.7%	(/.f64 #s(approx (- (* b_2 a) (* a (sqrt (- (* b_2 b_2) (* a c))))) (.f64 (neg.f64 b_2) (-.f64 (neg.f64 a) a))) (.f64 a a))
	27.9%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (/.f64 a b_2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 c #s(literal 1/2 binary64)))))) a)
	27.8%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 c (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a))) a)
	35.1%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
✓	30.4%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 a (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))) a)
	14.3%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 a (exp.f64 (.f64 (log.f64 (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64)))) #s(literal -1 binary64))))) a)
	30.7%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
✓	51.0%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
	30.8%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (neg.f64 (*.f64 a c))))))
	11.2%	#s(approx (/ (- (* b_2 a) (* a (sqrt (- (* b_2 b_2) (* a c))))) (* a a)) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2))
	2.0%	#s(approx (/ (- (* b_2 a) (* a (sqrt (- (* b_2 b_2) (* a c))))) (* a a)) (.f64 (neg.f64 b_2) (+.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 c (.f64 b_2 b_2)) (/.f64 #s(literal -1 binary64) a)))))
	35.0%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (/.f64 (*.f64 #s(literal -2 binary64) b_2) a)))
▶	36.3%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
▶	35.0%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64)))))
	34.4%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 b_2 (fma.f64 c (exp.f64 (.f64 (log.f64 (.f64 (.f64 b_2 b_2) #s(literal 2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) a))))
✓	35.0%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
	11.3%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 b_2 #s(approx (+ ( c (/ 1/2 (* b_2 b_2))) (/ -2 a)) (/.f64 (.f64 #s(literal 1/2 binary64) c) (.f64 b_2 b_2)))))

Compiler

Compiled 709 to 441 computations (37.8% saved)

simplify158.0ms (1.7%)

Memory

17.5MiB live, 133.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 b_2 (fma.f64 (.f64 a #s(literal 1/2 binary64)) (/.f64 c (*.f64 b_2 b_2)) #s(literal -1 binary64)))))
cost-diff	0	(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 b_2 (fma.f64 (.f64 a #s(literal 1/2 binary64)) (/.f64 c (*.f64 b_2 b_2)) #s(literal -1 binary64))))) a)
cost-diff	512	(.f64 b_2 (fma.f64 (.f64 a #s(literal 1/2 binary64)) (/.f64 c (*.f64 b_2 b_2)) #s(literal -1 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a))))
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))))
cost-diff	0	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a))))) a)
cost-diff	0	(*.f64 b_2 #s(literal -2 binary64))
cost-diff	0	(/.f64 a (*.f64 b_2 #s(literal -2 binary64)))
cost-diff	0	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
cost-diff	0	(*.f64 c #s(literal -1/2 binary64))
cost-diff	0	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
cost-diff	0	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.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) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) a)
cost-diff	128	(-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))))))

Rules

5 114×	`lower-fma.f32`
5 112×	`lower-fma.f64`
3 386×	`lower-*.f32`
3 372×	`lower-*.f64`
1 798×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	333
0	70	333
1	123	333
2	243	327
3	577	315
4	1189	315
5	3204	315
6	5506	315
7	7581	315
0	8008	315

Stop Event

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

Calls

Call 1

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

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

localize311.0ms (3.3%)

Memory

1.7MiB live, 201.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	3.8882807576152523	(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 b_2 (fma.f64 (.f64 a #s(literal 1/2 binary64)) (/.f64 c (*.f64 b_2 b_2)) #s(literal -1 binary64))))) a)
accuracy	6.7515349038522885	(/.f64 c (*.f64 b_2 b_2))
accuracy	13.275525269987526	(-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 b_2 (fma.f64 (.f64 a #s(literal 1/2 binary64)) (/.f64 c (*.f64 b_2 b_2)) #s(literal -1 binary64)))))
accuracy	41.15052824217001	#s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 b_2 (fma.f64 (.f64 a #s(literal 1/2 binary64)) (/.f64 c (*.f64 b_2 b_2)) #s(literal -1 binary64))))
accuracy	3.8882807576152523	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a))))) a)
accuracy	13.275525269987526	(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))))
accuracy	25.47239180866788	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a))))
accuracy	40.42056036184013	#s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))
accuracy	0	(/.f64 a (*.f64 b_2 #s(literal -2 binary64)))
accuracy	0	(*.f64 b_2 #s(literal -2 binary64))
accuracy	0.2265625	(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
accuracy	41.51249662083147	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64)))))
accuracy	0	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
accuracy	0	(*.f64 c #s(literal -1/2 binary64))
accuracy	40.746751902965	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
accuracy	1.0376767601310115	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c)))
accuracy	3.8882807576152523	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) a)
accuracy	13.275525269987526	(-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
accuracy	24.436484269068117	(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))))

Samples

217.0ms	168×	0	valid
39.0ms	52×	2	valid
11.0ms	31×	1	valid
3.0ms	5×	3	valid

Compiler

Compiled 264 to 34 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 232.0ms

ival-div: 65.0ms (28% of total)

ival-mult: 60.0ms (25.9% of total)

ival-add: 47.0ms (20.3% of total)

ival-sub: 45.0ms (19.4% of total)

adjust: 7.0ms (3% of total)

ival-sqrt: 6.0ms (2.6% of total)

ival-neg: 2.0ms (0.9% of total)

exact: 1.0ms (0.4% of total)

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

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

series79.0ms (0.8%)

Memory

-5.4MiB live, 72.0MiB allocated

Counts

22 → 672

Calls

Call 1

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

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

Calls

168 calls:

Time	Variable		Point	Expression
15.0ms	b_2	@	0	(* b_2 -2)
2.0ms	b_2	@	0	(* b_2 (+ (* (* a 1/2) (/ c (* b_2 b_2))) -1))
1.0ms	b_2	@	0	(sqrt (/ 1 (- (* b_2 b_2) (* a c))))
1.0ms	a	@	inf	(sqrt (/ 1 (- (* b_2 b_2) (* a c))))
1.0ms	c	@	inf	(sqrt (/ 1 (- (* b_2 b_2) (* a c))))

simplify315.0ms (3.3%)

Memory

27.7MiB live, 454.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 100×	`lower-fma.f64`
10 100×	`lower-fma.f32`
8 456×	`lower-*.f64`
8 456×	`lower-*.f32`
4 004×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	869	13487
1	2755	13243
0	8325	12677

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 663

Calls

Call 1

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

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

rewrite315.0ms (3.3%)

Memory

-28.2MiB live, 436.2MiB allocated

Rules

4 700×	`lower-fma.f32`
4 698×	`lower-fma.f64`
4 622×	`lower-/.f32`
4 604×	`lower-/.f64`
3 750×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	275
0	70	275
1	255	258
2	1834	258
0	8285	258

Stop Event

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

Counts

22 → 763

Calls

Call 1

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

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

eval218.0ms (2.3%)

Memory: 6.9MiB live, 346.4MiB allocated
Compiler: Compiled 41 176 to 3 613 computations (91.2% saved)

prune223.0ms (2.4%)

Memory

-2.8MiB live, 400.6MiB allocated

Pruning

30 alts after pruning (23 fresh and 7 done)

	Pruned	Kept	Total
New	1 463	15	1 478
Fresh	7	8	15
Picked	2	3	5
Done	0	4	4
Total	1 472	30	1 502

Accuracy

92.1%

Counts

1 502 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.7%	(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a)))) (.f64 a (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))))))
	15.3%	(/.f64 (-.f64 (.f64 b_2 a) (.f64 a (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (neg.f64 (.f64 a c)))))) (.f64 a a))
	21.8%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (- (* b_2 b_2) (* a c))) (/.f64 (+.f64 (/.f64 (.f64 b_2 b_2) (.f64 a (*.f64 c c))) (/.f64 #s(literal 1 binary64) c)) (neg.f64 a)))))) a)
	30.0%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (- (* b_2 b_2) (* a c))) (/.f64 #s(literal -1 binary64) (*.f64 a c)))))) a)
✓	51.1%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	30.9%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a))))) a)
✓	11.4%	(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 b_2 (fma.f64 (.f64 a #s(literal 1/2 binary64)) (/.f64 c (*.f64 b_2 b_2)) #s(literal -1 binary64))))) a)
	3.1%	(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) #s(approx (* b_2 (+ (* (* a 1/2) (/ c (* b_2 b_2))) -1)) (*.f64 c (fma.f64 #s(literal 1/2 binary64) (/.f64 a b_2) (/.f64 b_2 (neg.f64 c))))))) a)
	29.6%	(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (.f64 c (neg.f64 a)))) (/.f64 #s(literal 1 binary64) a)) (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 c (neg.f64 a))))))
	1.7%	(/.f64 #s(approx (- (* b_2 a) (* a (sqrt (- (* b_2 b_2) (* a c))))) (.f64 (neg.f64 b_2) (-.f64 (neg.f64 a) a))) (.f64 a a))
	35.1%	(/.f64 #s(approx (- (neg b_2) (/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c)))))) (*.f64 b_2 #s(literal -2 binary64))) a)
	27.8%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 c (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a))) a)
✓	30.4%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 a (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))) a)
▶	30.8%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))))))
✓	51.0%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
	30.8%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (neg.f64 (*.f64 a c))))))
▶	11.2%	#s(approx (/ (- (* b_2 a) (* a (sqrt (- (* b_2 b_2) (* a c))))) (* a a)) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2))
▶	2.0%	#s(approx (/ (- (* b_2 a) (* a (sqrt (- (* b_2 b_2) (* a c))))) (* a a)) (.f64 (neg.f64 b_2) (+.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 c (.f64 b_2 b_2)) (/.f64 #s(literal -1 binary64) a)))))
	35.0%	#s(approx (/ (- (neg b_2) (/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c)))))) a) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))))
	16.1%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (pow.f64 (.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2))) #s(literal -1/2 binary64)))
✓	36.3%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
	24.1%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 b_2 #s(literal 2 binary64))) (.f64 (.f64 b_2 #s(literal 2 binary64)) a)) (.f64 (.f64 b_2 #s(literal 2 binary64)) (*.f64 b_2 #s(literal 2 binary64))))))
▶	35.0%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a)))
	36.1%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 c))))
	35.0%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -2 binary64) (/.f64 a b_2)))
▶	36.3%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
	34.4%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 b_2 (fma.f64 c (exp.f64 (.f64 (log.f64 (.f64 (.f64 b_2 b_2) #s(literal 2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) a))))
✓	35.0%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
	11.3%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 b_2 #s(approx (+ ( c (/ 1/2 (* b_2 b_2))) (/ -2 a)) (/.f64 (.f64 #s(literal 1/2 binary64) c) (.f64 b_2 b_2)))))
	16.8%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (exp.f64 (.f64 (log.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 c))) #s(literal -1 binary64))))

Compiler

Compiled 851 to 523 computations (38.5% saved)

simplify177.0ms (1.9%)

Memory

-5.7MiB live, 192.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 b_2)
cost-diff	0	#s(approx (/ (- (* b_2 a) (* a (sqrt (- (* b_2 b_2) (* a c))))) (* a a)) (.f64 (neg.f64 b_2) (+.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 c (.f64 b_2 b_2)) (/.f64 #s(literal -1 binary64) a)))))
cost-diff	576	(.f64 (neg.f64 b_2) (+.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 c (.f64 b_2 b_2)) (/.f64 #s(literal -1 binary64) a))))
cost-diff	896	(+.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b_2 b_2)) (/.f64 #s(literal -1 binary64) a)))
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))))
cost-diff	0	(/.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a))))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))))))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) b_2)
cost-diff	0	(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a)
cost-diff	0	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) c)
cost-diff	0	(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
cost-diff	0	#s(approx (/ (- (* b_2 a) (* a (sqrt (- (* b_2 b_2) (* a c))))) (* a a)) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) b_2)
cost-diff	0	(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
cost-diff	0	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))

Rules

4 796×	`lower-fma.f32`
4 794×	`lower-fma.f64`
2 934×	`lower-*.f32`
2 922×	`lower-*.f64`
1 796×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	291
0	63	291
1	122	283
2	262	274
3	648	262
4	1546	262
5	4576	258
6	7726	258
0	8342	255

Stop Event

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

Calls

Call 1

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

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

localize166.0ms (1.8%)

Memory

13.5MiB live, 289.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(+.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b_2 b_2)) (/.f64 #s(literal -1 binary64) a)))
accuracy	4.1218596342450855	(.f64 (neg.f64 b_2) (+.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 c (.f64 b_2 b_2)) (/.f64 #s(literal -1 binary64) a))))
accuracy	6.7515349038522885	(/.f64 c (*.f64 b_2 b_2))
accuracy	40.746673859026764	#s(approx (/ (- (* b_2 a) (* a (sqrt (- (* b_2 b_2) (* a c))))) (* a a)) (.f64 (neg.f64 b_2) (+.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 c (.f64 b_2 b_2)) (/.f64 #s(literal -1 binary64) a)))))
accuracy	3.802613662469573	(/.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a))))))
accuracy	13.275525269987526	(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))))
accuracy	25.47239180866788	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a))))
accuracy	40.42056036184013	#s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))
accuracy	0	(/.f64 #s(literal -1/2 binary64) b_2)
accuracy	0.17578125	(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a)
accuracy	0.2265625	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a))
accuracy	41.51249662083147	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a)))
accuracy	0	(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
accuracy	0	(*.f64 #s(literal 1/2 binary64) c)
accuracy	41.6661450534262	#s(approx (/ (- (* b_2 a) (* a (sqrt (- (* b_2 b_2) (* a c))))) (* a a)) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2))
accuracy	0	(/.f64 #s(literal -1/2 binary64) b_2)
accuracy	0.16015625	(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
accuracy	40.746751902965	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))

Samples

45.0ms	80×	2	valid
30.0ms	78×	1	valid
19.0ms	14×	3	valid
19.0ms	84×	0	valid

Compiler

Compiled 233 to 37 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-div: 33.0ms (40.9% of total)

ival-mult: 19.0ms (23.5% of total)

adjust: 11.0ms (13.6% of total)

ival-sub: 7.0ms (8.7% of total)

ival-sqrt: 4.0ms (5% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series41.0ms (0.4%)

Memory

0.7MiB live, 81.4MiB allocated

Counts

19 → 552

Calls

Call 1

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

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

Calls

138 calls:

Time	Variable		Point	Expression
3.0ms	b_2	@	0	(/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))
1.0ms	c	@	inf	(/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))
1.0ms	a	@	inf	(/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))
1.0ms	c	@	-inf	(/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))
1.0ms	a	@	-inf	(/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))

simplify352.0ms (3.7%)

Memory

9.6MiB live, 318.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 078×	`lower-fma.f64`
12 078×	`lower-fma.f32`
9 020×	`lower-*.f64`
9 020×	`lower-*.f32`
4 668×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	906	9383
1	2912	9093
0	8819	8723

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 549

Calls

Call 1

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

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

rewrite293.0ms (3.1%)

Memory

-26.0MiB live, 261.5MiB allocated

Rules

4 820×	`lower-/.f32`
4 806×	`lower-/.f64`
4 532×	`lower-*.f32`
4 520×	`lower-*.f64`
2 754×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	245
0	63	245
1	250	235
2	1973	235
0	8491	233

Stop Event

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

Counts

19 → 521

Calls

Call 1

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

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

eval140.0ms (1.5%)

Memory: 39.6MiB live, 218.4MiB allocated
Compiler: Compiled 29 094 to 2 567 computations (91.2% saved)

prune194.0ms (2.1%)

Memory

1.9MiB live, 239.7MiB allocated

Pruning

28 alts after pruning (19 fresh and 9 done)

	Pruned	Kept	Total
New	1 116	7	1 123
Fresh	6	12	18
Picked	2	3	5
Done	1	6	7
Total	1 125	28	1 153

Accuracy

92.1%

Counts

1 153 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.7%	(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a)))) (.f64 a (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))))))
	15.3%	(/.f64 (-.f64 (.f64 b_2 a) (.f64 a (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (neg.f64 (.f64 a c)))))) (.f64 a a))
	21.8%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (- (* b_2 b_2) (* a c))) (/.f64 (+.f64 (/.f64 (.f64 b_2 b_2) (.f64 a (*.f64 c c))) (/.f64 #s(literal 1 binary64) c)) (neg.f64 a)))))) a)
	30.0%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (- (* b_2 b_2) (* a c))) (/.f64 #s(literal -1 binary64) (*.f64 a c)))))) a)
✓	51.1%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	30.9%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a))))) a)
	29.6%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (.f64 a (neg.f64 c))))) (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 a (neg.f64 c))))))
	35.1%	(/.f64 #s(approx (- (neg b_2) (/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c)))))) (*.f64 b_2 #s(literal -2 binary64))) a)
	27.8%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 c (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a))) a)
✓	30.4%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 a (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))) a)
✓	30.8%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))))))
	35.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (.f64 (neg.f64 b_2) (fma.f64 #s(literal -1/2 binary64) (/.f64 a (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) c)))))
	36.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (*.f64 #s(literal -2 binary64) (/.f64 b_2 c))))
✓	51.0%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
	30.8%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (neg.f64 (*.f64 a c))))))
✓	11.2%	#s(approx (/ (- (* b_2 a) (* a (sqrt (- (* b_2 b_2) (* a c))))) (* a a)) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2))
	2.3%	#s(approx (/ (- (* b_2 a) (* a (sqrt (- (* b_2 b_2) (* a c))))) (* a a)) (.f64 (neg.f64 b_2) #s(approx (+ (/ -1 a) (+ ( 1/2 (/ c (* b_2 b_2))) (/ -1 a))) (/.f64 #s(literal -2 binary64) a))))
	11.2%	#s(approx (/ (- (* b_2 a) (* a (sqrt (- (* b_2 b_2) (* a c))))) (* a a)) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)))
	2.3%	#s(approx (/ (- (* b_2 a) (* a (sqrt (- (* b_2 b_2) (* a c))))) (* a a)) #s(approx (* (neg b_2) (+ (/ -1 a) (+ (* 1/2 (/ c (* b_2 b_2))) (/ -1 a)))) (/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)))
	35.0%	#s(approx (/ (- (neg b_2) (/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c)))))) a) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))))
✓	36.3%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
	24.1%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 b_2 #s(literal 2 binary64))) (.f64 (.f64 b_2 #s(literal 2 binary64)) a)) (.f64 (.f64 b_2 #s(literal 2 binary64)) (*.f64 b_2 #s(literal 2 binary64))))))
✓	35.0%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a)))
	35.0%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -2 binary64) (/.f64 a b_2)))
	32.8%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (exp.f64 (.f64 (log.f64 (*.f64 b_2 #s(literal -2 binary64))) #s(literal -1 binary64))) c))
	34.4%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 b_2 (fma.f64 c (exp.f64 (.f64 (log.f64 (.f64 (.f64 b_2 b_2) #s(literal 2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) a))))
✓	35.0%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
	11.3%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 b_2 #s(approx (+ ( c (/ 1/2 (* b_2 b_2))) (/ -2 a)) (/.f64 (.f64 #s(literal 1/2 binary64) c) (.f64 b_2 b_2)))))

Compiler

Compiled 1 058 to 443 computations (58.1% saved)

regimes85.0ms (0.9%)

Memory

-19.5MiB live, 86.2MiB allocated

Counts

49 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

29.0ms	c
15.0ms	a
14.0ms	b_2
13.0ms	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
51.1%	1	`a`
87.9%	3	`b_2`
51.1%	1	`c`
75.5%	5	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes11.0ms (0.1%)

Memory

-23.2MiB live, 14.7MiB allocated

Counts

24 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

7.0ms

b_2

Results

Accuracy	Segments	Branch
83.6%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Memory

23.4MiB live, 23.4MiB allocated

Counts

21 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
53.0%	4	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
69.2%	2	`b_2`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes7.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

6.0ms

b_2

Results

Accuracy	Segments	Branch
69.0%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Memory

-31.2MiB live, 5.9MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

b_2

Results

Accuracy	Segments	Branch
68.9%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

#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 b_2 (/.f64 #s(literal -2 binary64) a)))

Calls

1 calls:

2.0ms

b_2

Results

Accuracy	Segments	Branch
68.9%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB 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) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
35.0%	1	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
35.0%	1	`a`
35.0%	1	`c`
35.0%	1	`b_2`

Compiler

Compiled 28 to 19 computations (32.1% saved)

bsearch43.0ms (0.5%)

Memory

20.8MiB live, 61.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	3.583099262643903e+79	2.3928890580567433e+84
29.0ms	-1.6309926238685322e-24	-1.4270558319792244e-30

Samples

10.0ms	155×	0	valid
6.0ms	38×	2	valid
6.0ms	47×	1	valid
2.0ms	29×	0	invalid

Compiler

Compiled 424 to 286 computations (32.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 4.0ms (25.2% of total)

ival-div: 3.0ms (18.9% of total)

ival-sqrt: 3.0ms (18.9% of total)

ival-sub: 3.0ms (18.9% of total)

adjust: 2.0ms (12.6% of total)

ival-neg: 1.0ms (6.3% of total)

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

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

bsearch22.0ms (0.2%)

Memory

-5.9MiB live, 30.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.225306216338333e-39	2.559807123372324e-31
4.0ms	-1.6309926238685322e-24	-1.4270558319792244e-30

Samples

9.0ms	144×	0	valid
1.0ms	22×	0	invalid

Compiler

Compiled 514 to 349 computations (32.1% saved)

Precisions

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

ival-mult: 2.0ms (31.6% of total)

ival-sub: 1.0ms (15.8% of total)

ival-div: 1.0ms (15.8% of total)

ival-sqrt: 1.0ms (15.8% of total)

ival-neg: 1.0ms (15.8% of total)

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

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

bsearch30.0ms (0.3%)

Memory

9.9MiB live, 49.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	-1.7186714812881005e-298	7.12057587398072e-293

Samples

11.0ms	176×	0	valid
7.0ms	96×	0	invalid

Compiler

Compiled 294 to 203 computations (31% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 3.0ms (26.7% of total)

ival-sub: 2.0ms (17.8% of total)

ival-div: 2.0ms (17.8% of total)

ival-sqrt: 2.0ms (17.8% of total)

ival-neg: 2.0ms (17.8% of total)

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

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

bsearch2.0ms (0%)

Memory

-36.8MiB live, 2.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	-1.7186714812881005e-298	7.12057587398072e-293

Compiler

Compiled 239 to 170 computations (28.9% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.7186714812881005e-298	7.12057587398072e-293

Compiler

Compiled 239 to 170 computations (28.9% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.7186714812881005e-298	7.12057587398072e-293

Compiler

Compiled 239 to 170 computations (28.9% saved)

simplify10.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative_binary64`
30×	`+-commutative_binary64`
26×	`sub-neg_binary64`
20×	`neg-sub0_binary64`
20×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	316
1	80	316
2	101	316
3	125	316
4	140	316
5	147	316
6	149	316

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -8278036617694567/5708990770823839524233143877797980545530986496 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)) (if (<=.f64 b_2 #s(literal 2000000000000000115533219796231793404874534254192128274196083726469424668033849229312 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)))
(if (<=.f64 b_2 #s(literal -8278036617694567/5708990770823839524233143877797980545530986496 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)) (if (<=.f64 b_2 #s(literal 2514250496733099/11972621413014756705924586149611790497021399392059392 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a))))) a) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (/.f64 (*.f64 #s(literal -2 binary64) b_2) a)))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (/.f64 (*.f64 #s(literal -2 binary64) b_2) a))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)) (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #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 b_2 (/.f64 #s(literal -2 binary64) a))))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))

Outputs
(if (<=.f64 b_2 #s(literal -8278036617694567/5708990770823839524233143877797980545530986496 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)) (if (<=.f64 b_2 #s(literal 2000000000000000115533219796231793404874534254192128274196083726469424668033849229312 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)))
(if (<=.f64 b_2 #s(literal -8278036617694567/5708990770823839524233143877797980545530986496 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)) (if (<=.f64 b_2 #s(literal 2514250496733099/11972621413014756705924586149611790497021399392059392 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a))))) a) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (/.f64 (*.f64 #s(literal -2 binary64) b_2) a)))))
(if (<=.f64 b_2 #s(literal -8278036617694567/5708990770823839524233143877797980545530986496 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)) (if (<=.f64 b_2 #s(literal 2514250496733099/11972621413014756705924586149611790497021399392059392 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 a (neg.f64 c))))) a) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (/.f64 (*.f64 #s(literal -2 binary64) b_2) a))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)) (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #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 b_2 (/.f64 #s(literal -2 binary64) a))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a))))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))

soundness545.0ms (5.8%)

Memory

-7.6MiB live, 266.9MiB allocated

Rules

11 028×	`lower-fma.f64`
11 028×	`lower-fma.f32`
8 494×	`lower-fma.f64`
8 494×	`lower-fma.f32`
7 542×	`lower-*.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	528	3105
1	1657	3067
2	5513	3045
0	8289	2913
0	44	275
0	70	275
1	255	258
2	1834	258
0	8285	258
0	950	11121
1	3126	10953
0	8339	10489

Stop Event

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

Compiler

Compiled 299 to 155 computations (48.2% saved)

preprocess74.0ms (0.8%)

Memory: 9.3MiB live, 94.2MiB allocated
Compiler: Compiled 510 to 160 computations (68.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

start0.0ms (0%)

analyze156.0ms (1.7%)

sample2.2s (22.9%)

explain159.0ms (1.7%)

preprocess138.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify44.0ms (0.5%)

localize142.0ms (1.5%)

series55.0ms (0.6%)

simplify316.0ms (3.4%)

rewrite364.0ms (3.9%)

eval75.0ms (0.8%)

prune108.0ms (1.1%)

simplify185.0ms (2%)

localize203.0ms (2.2%)

series66.0ms (0.7%)

simplify328.0ms (3.5%)

rewrite441.0ms (4.7%)

eval334.0ms (3.5%)

prune309.0ms (3.3%)

simplify158.0ms (1.7%)

localize311.0ms (3.3%)

series79.0ms (0.8%)

simplify315.0ms (3.3%)

rewrite315.0ms (3.3%)

eval218.0ms (2.3%)

prune223.0ms (2.4%)

simplify177.0ms (1.9%)

localize166.0ms (1.8%)

series41.0ms (0.4%)

simplify352.0ms (3.7%)

rewrite293.0ms (3.1%)

eval140.0ms (1.5%)

prune194.0ms (2.1%)

regimes85.0ms (0.9%)

regimes11.0ms (0.1%)

regimes14.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

bsearch43.0ms (0.5%)

bsearch22.0ms (0.2%)

bsearch30.0ms (0.3%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify10.0ms (0.1%)

soundness545.0ms (5.8%)

preprocess74.0ms (0.8%)

end0.0ms (0%)

Profiling

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