Metrics for quad2p (problem 3.2.1, positive)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze123.0ms (1.6%)

Memory

6.1MiB live, 121.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 12 computations (20% saved)

sample1.7s (21.9%)

Memory

16.9MiB live, 1 236.2MiB allocated

Samples

442.0ms	5 572×	0	valid
282.0ms	1 192×	2	valid
161.0ms	1 330×	1	valid
76.0ms	1 147×	0	invalid
37.0ms	162×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 734.0ms

ival-mult: 144.0ms (19.6% of total)

ival-sub: 112.0ms (15.3% of total)

ival-neg: 102.0ms (13.9% of total)

ival-sqrt: 98.0ms (13.4% of total)

ival-div: 96.0ms (13.1% of total)

ival-add: 94.0ms (12.8% of total)

adjust: 75.0ms (10.2% of total)

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

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

Bogosity

explain179.0ms (2.4%)

Memory

8.1MiB live, 204.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
107	-	1	(4.396009463651562e-213 -1.369214742372305e-295 -1.5061340086884493e-111)	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
70	-	0	-	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
13	-	1	(-2.0488749638753063e-258 1.2414279891464708e+65 1734.4448301843543)	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
2	-	0	-	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`
0	-	0	-	`(*.f64 b_2 b_2)`
0	-	0	-	`a`
0	-	0	-	`(neg.f64 b_2)`
0	-	0	-	`b_2`
0	-	0	-	`(*.f64 a c)`
0	-	0	-	`c`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	oflow-rescue	101	0
↳	`(*.f64 b_2 b_2)`	overflow	88
↳	`(*.f64 a c)`	overflow	18
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	overflow	101
`+.f64`	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	cancellation	70	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`	u/n	12	0
↳	`(*.f64 b_2 b_2)`	underflow	28
↳	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	underflow	29
↳	`(*.f64 a c)`	underflow	38
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	5
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	uflow-rescue	5	0
↳	`(*.f64 b_2 b_2)`	underflow	28
↳	`(*.f64 a c)`	underflow	38
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	5
`-.f64`	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	nan-rescue	2	0
↳	`(*.f64 b_2 b_2)`	overflow	88
↳	`(*.f64 a c)`	overflow	18

Confusion

	Predicted +	Predicted -
+	136	1
-	15	104

Precision

0.9006622516556292

Recall

0.9927007299270073

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	136	0	1
-	15	0	104

Precision?

0.9006622516556292

Recall?

0.9927007299270073

Freqs

test

number	freq
0	105
1	114
2	35
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms	92×	2	valid
24.0ms	316×	0	valid
13.0ms	90×	1	valid
4.0ms	14×	3	valid

Compiler

Compiled 167 to 44 computations (73.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

adjust: 9.0ms (20.1% of total)

ival-mult: 8.0ms (17.9% of total)

ival-add: 8.0ms (17.9% of total)

ival-sqrt: 7.0ms (15.6% of total)

ival-div: 6.0ms (13.4% of total)

ival-sub: 4.0ms (8.9% of total)

ival-neg: 2.0ms (4.5% of total)

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

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

preprocess123.0ms (1.6%)

Memory

-36.8MiB live, 86.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	118
1	114	111
2	245	109
3	685	109
4	1777	109
5	3264	109
6	3950	109
7	4043	109
8	4135	109
9	4167	109
10	4167	109
0	10	13
0	17	13
1	28	12
2	45	12
3	74	12
4	113	12
5	189	12
6	322	12
7	475	12
8	828	12
9	942	12
10	974	12
11	985	12
12	986	12
0	986	12

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify26.0ms (0.3%)

Memory

-3.1MiB live, 36.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	50
0	17	50
1	28	48
2	45	48
3	74	48
4	113	48
5	189	48
6	322	48
7	475	48
8	828	48
9	942	48
10	974	48
11	985	48
12	986	48
0	986	48

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize45.0ms (0.6%)

Memory

28.9MiB live, 72.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.40625000000000006	(-.f64 (.f64 b_2 b_2) (.f64 a c))
accuracy	3.0971955713563033	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
accuracy	15.971585609400673	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
accuracy	24.842365321334952	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Samples

18.0ms	158×	0	valid
9.0ms	46×	2	valid
8.0ms	45×	1	valid
2.0ms	7×	3	valid

Compiler

Compiled 102 to 22 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 8.0ms (34.1% of total)

adjust: 3.0ms (12.8% of total)

ival-div: 3.0ms (12.8% of total)

ival-sqrt: 3.0ms (12.8% of total)

ival-neg: 3.0ms (12.8% of total)

ival-sub: 2.0ms (8.5% of total)

ival-add: 2.0ms (8.5% of total)

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

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

series19.0ms (0.3%)

Memory

-7.5MiB live, 31.7MiB allocated

Counts

5 → 98

Calls

Call 1

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

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

Calls

9 calls:

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

simplify249.0ms (3.3%)

Memory

4.3MiB live, 158.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	508	2832
1	1606	2798
2	5550	2747
0	8048	2611

Stop Event

1×	iter limit
1×	node limit

Counts

98 → 97

Calls

Call 1

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

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

rewrite156.0ms (2%)

Memory

-21.4MiB live, 140.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
0	17	41
1	64	39
2	463	38
3	5920	38
0	8644	34

Stop Event

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

Counts

5 → 449

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) #s(literal 2 binary64))) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (fma.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2 (fma.f64 c a (.f64 b_2 b_2))) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) (pow.f64 b_2 #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2)))) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2))
(.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 1 binary64)) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))))
(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) #s(literal -1 binary64))))
(.f64 (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))))
(.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) #s(literal -1 binary64)) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))
(.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64))))
(.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2))
(.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2))
(.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) (.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal -1 binary64))))
(.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))))
(.f64 (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (neg.f64 (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) #s(literal -1 binary64)))
(.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)))
(.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) #s(literal -1 binary64))
(.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal 1 binary64))
(/.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2)))) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)))
(/.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) #s(literal -1 binary64)))
(/.f64 (.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 2 binary64)) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) #s(literal -1 binary64))) (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))))
(/.f64 (.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64))) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) #s(literal -1 binary64))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (pow.f64 b_2 #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64))) (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) #s(literal -1 binary64))) (-.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 9/2 binary64)) (pow.f64 b_2 #s(literal 9 binary64))) (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 b_2 b_2) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) #s(literal 2 binary64))) (fma.f64 b_2 (/.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 b_2 b_2) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 b_2 b_2) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 b_2 b_2) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2))))))
(/.f64 (.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal 3 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (pow.f64 b_2 #s(literal 4 binary64))) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)))
(/.f64 (.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 9/2 binary64)) (pow.f64 b_2 #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))))
(/.f64 (-.f64 (.f64 (.f64 b_2 b_2) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) (.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))
(/.f64 (-.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) b_2) (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) (.f64 b_2 b_2))) (.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2))
(/.f64 (-.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 b_2 b_2)) (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) (pow.f64 b_2 #s(literal 3 binary64)))) (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) (.f64 b_2 b_2)))
(/.f64 (-.f64 (.f64 (hypot.f64 (pow.f64 (.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) b_2) (.f64 (hypot.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (.f64 c a)) (.f64 b_2 b_2))) (.f64 (hypot.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (*.f64 c a)) b_2))
(/.f64 (-.f64 (.f64 (hypot.f64 (pow.f64 (.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (.f64 b_2 b_2)) (.f64 (hypot.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64)))) (.f64 (hypot.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (.f64 c a)) (.f64 b_2 b_2)))
(/.f64 (-.f64 (.f64 (.f64 b_2 b_2) (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2)))) (.f64 b_2 (fma.f64 c a (.f64 b_2 b_2)))) (.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2))
(/.f64 (-.f64 (.f64 (.f64 b_2 b_2) (hypot.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (.f64 c a))) (.f64 b_2 (hypot.f64 (pow.f64 (.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))))) (.f64 b_2 (hypot.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (*.f64 c a))))
(/.f64 (-.f64 (.f64 (pow.f64 b_2 #s(literal 3 binary64)) (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2)))) (.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 b_2 b_2))) (.f64 (.f64 b_2 b_2) (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2)))))
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(/.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 2 binary64)) (.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) a) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))))
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(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a)))
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (.f64 (neg.f64 a) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)))
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (neg.f64 a)))
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a))
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(/.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)))
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(neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a))
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(fma.f64 (pow.f64 a #s(literal -1 binary64)) b_2 (.f64 (pow.f64 a #s(literal -1 binary64)) (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2)))))
(fma.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) (pow.f64 a #s(literal -1 binary64)) (.f64 b_2 (pow.f64 a #s(literal -1 binary64))))
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(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a))
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(+.f64 (.f64 (pow.f64 a #s(literal -1 binary64)) b_2) (.f64 (pow.f64 a #s(literal -1 binary64)) (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))))
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(*.f64 (pow.f64 b_2 #s(literal 1/2 binary64)) (pow.f64 b_2 #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) b_2)
(*.f64 #s(literal 1 binary64) b_2)
(.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (.f64 b_2 b_2) #s(literal -1 binary64)))
(.f64 (.f64 b_2 b_2) (pow.f64 b_2 #s(literal -1 binary64)))
(*.f64 b_2 #s(literal -1 binary64))
(*.f64 b_2 #s(literal 1 binary64))
(pow.f64 (pow.f64 b_2 #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 b_2 (*.f64 b_2 b_2)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 b_2 b_2) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 b_2 #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 b_2 b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 b_2) (pow.f64 b_2 #s(literal 3 binary64))))
(/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b_2 b_2) #s(literal 0 binary64))))
(/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (*.f64 b_2 b_2))
(/.f64 (*.f64 b_2 b_2) b_2)
(neg.f64 b_2)
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(fma.f64 #s(literal -1 binary64) b_2 #s(literal 0 binary64))
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(fma.f64 b_2 #s(literal -1 binary64) #s(literal 0 binary64))
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(-.f64 (/.f64 #s(literal 0 binary64) b_2) b_2)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b_2 b_2)) b_2)
(-.f64 #s(literal 0 binary64) b_2)
(+.f64 #s(literal 0 binary64) b_2)
(+.f64 b_2 #s(literal 0 binary64))
(exp.f64 (.f64 (.f64 (log.f64 b_2) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 b_2) #s(literal 1 binary64)))
b_2
(.f64 (neg.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)))
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(+.f64 (.f64 b_2 b_2) (.f64 (neg.f64 a) c))
(+.f64 (.f64 b_2 b_2) (.f64 c a))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 c a (.f64 b_2 b_2)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))))

eval103.0ms (1.3%)

Memory: 16.9MiB live, 92.2MiB allocated
Compiler: Compiled 15 289 to 2 194 computations (85.6% saved)

prune39.0ms (0.5%)

Memory

-17.5MiB live, 65.5MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	533	10	543
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	533	11	544

Accuracy

94.3%

Counts

544 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.5%	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
▶	12.9%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 4 binary64))) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64))))) a)
✓	49.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	20.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))))) a)
	9.2%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a)) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 12 binary64)))) (fma.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a)) (-.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a)) (pow.f64 b_2 #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 8 binary64)))))) a)
▶	29.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
	32.4%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
▶	37.0%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
▶	39.0%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (fma.f64 (.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) c))
▶	39.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
	36.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))

Compiler

Compiled 535 to 356 computations (33.5% saved)

simplify155.0ms (2%)

Memory

40.6MiB live, 198.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 4 binary64))) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64))))
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 4 binary64))) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64))))) a)
cost-diff	128	(+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 4 binary64))) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64)))))
cost-diff	0	(*.f64 c #s(literal -1/8 binary64))
cost-diff	0	(fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2))
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (fma.f64 (.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) c))
cost-diff	5760	(.f64 (fma.f64 (.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) c)
cost-diff	0	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
cost-diff	128	(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
cost-diff	0	(*.f64 #s(literal -2 binary64) b_2)
cost-diff	0	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
cost-diff	0	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
cost-diff	0	(/.f64 c b_2)
cost-diff	0	(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	340
0	75	340
1	113	332
2	210	332
3	502	332
4	1226	332
5	3488	332
6	5906	332
0	8117	332

Stop Event

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

Calls

Call 1

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

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

localize150.0ms (2%)

Memory

-14.2MiB live, 266.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	8.124985550811441	(-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (*.f64 c a) #s(literal 4 binary64)))
accuracy	15.973185134431102	(+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 4 binary64))) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64)))))
accuracy	24.846271571334952	(sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 4 binary64))) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64))))
accuracy	46.7319752735122	(/.f64 (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 4 binary64))) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64)))
accuracy	1.358059279545895	(.f64 (fma.f64 (.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) c)
accuracy	1.9658519535489891	(fma.f64 (*.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2))
accuracy	3.9438771174907643	(/.f64 a (pow.f64 b_2 #s(literal 3 binary64)))
accuracy	38.30349606306005	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (fma.f64 (.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) c))
accuracy	3.0971955713563033	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
accuracy	15.971585609400673	(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
accuracy	24.842365321334952	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
accuracy	44.321026088323	#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))
accuracy	0.0	(*.f64 #s(literal -2 binary64) b_2)
accuracy	3.0971955713563033	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
accuracy	40.41665890358577	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
accuracy	0.0	(/.f64 c b_2)
accuracy	0.0	(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
accuracy	38.50632175817981	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))

Samples

53.0ms	158×	0	valid
33.0ms	46×	2	valid
25.0ms	45×	1	valid
6.0ms	7×	3	valid

Compiler

Compiled 641 to 87 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-pow: 19.0ms (22.3% of total)

adjust: 15.0ms (17.6% of total)

ival-div: 14.0ms (16.4% of total)

ival-mult: 14.0ms (16.4% of total)

ival-add: 7.0ms (8.2% of total)

ival-sqrt: 6.0ms (7% of total)

ival-neg: 5.0ms (5.9% of total)

ival-sub: 4.0ms (4.7% of total)

exact: 1.0ms (1.2% of total)

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

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

series319.0ms (4.2%)

Memory

-7.1MiB live, 107.9MiB allocated

Counts

21 → 225

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
236.0ms	a	@	inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (* (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (* c -1/8) (+ (neg b_2) (sqrt (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3)))) (/ (+ (neg b_2) (sqrt (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3)))) a) (sqrt (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3))) (- (* b_2 b_2) (* a c)) (/ a (pow b_2 3)) (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3)) (- (pow b_2 8) (pow (* c a) 4)))
17.0ms	c	@	0	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (* (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (* c -1/8) (+ (neg b_2) (sqrt (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3)))) (/ (+ (neg b_2) (sqrt (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3)))) a) (sqrt (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3))) (- (* b_2 b_2) (* a c)) (/ a (pow b_2 3)) (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3)) (- (pow b_2 8) (pow (* c a) 4)))
10.0ms	c	@	-inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (* (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (* c -1/8) (+ (neg b_2) (sqrt (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3)))) (/ (+ (neg b_2) (sqrt (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3)))) a) (sqrt (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3))) (- (* b_2 b_2) (* a c)) (/ a (pow b_2 3)) (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3)) (- (pow b_2 8) (pow (* c a) 4)))
9.0ms	b_2	@	inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (* (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (* c -1/8) (+ (neg b_2) (sqrt (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3)))) (/ (+ (neg b_2) (sqrt (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3)))) a) (sqrt (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3))) (- (* b_2 b_2) (* a c)) (/ a (pow b_2 3)) (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3)) (- (pow b_2 8) (pow (* c a) 4)))
9.0ms	a	@	0	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (* (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) c) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (* c -1/8) (+ (neg b_2) (sqrt (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3)))) (/ (+ (neg b_2) (sqrt (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3)))) a) (sqrt (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3))) (- (* b_2 b_2) (* a c)) (/ a (pow b_2 3)) (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3)) (- (pow b_2 8) (pow (* c a) 4)))

simplify249.0ms (3.3%)

Memory

0.4MiB live, 198.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1417	13152
1	4933	12556
0	8323	12055

Stop Event

1×	iter limit
1×	node limit

Counts

225 → 224

Calls

Call 1

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

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

rewrite175.0ms (2.3%)

Memory

33.0MiB live, 228.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	277
0	75	277
1	277	269
2	2025	269
0	8345	269

Stop Event

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

Counts

21 → 685

Calls

Call 1

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

Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
(.f64 (.f64 #s(literal -1/2 binary64) c) (pow.f64 b_2 #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
(pow.f64 (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) c)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 c) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 b_2)))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 c))) (neg.f64 (neg.f64 b_2)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) c))) (neg.f64 (neg.f64 b_2)))
(/.f64 (*.f64 (neg.f64 c) #s(literal -1/2 binary64)) (neg.f64 b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 c)) (neg.f64 b_2))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) c)) (neg.f64 b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) c))))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) c)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 b_2 c)))
(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))
(*.f64 (pow.f64 b_2 #s(literal -1 binary64)) (pow.f64 (pow.f64 c #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 b_2 #s(literal -1 binary64)) c)
(*.f64 #s(literal 1 binary64) (/.f64 c b_2))
(*.f64 (neg.f64 c) (pow.f64 (neg.f64 b_2) #s(literal -1 binary64)))
(*.f64 c (pow.f64 b_2 #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 b_2 c) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 b_2 c) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64))) (neg.f64 b_2))
(/.f64 (neg.f64 (*.f64 c #s(literal 1 binary64))) (neg.f64 b_2))
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (neg.f64 (neg.f64 (neg.f64 b_2))))
(/.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) b_2)
(/.f64 (*.f64 c #s(literal 1 binary64)) b_2)
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 b_2)))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 b_2 #s(literal 16 binary64)) (pow.f64 (.f64 c a) #s(literal 8 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 b_2 #s(literal 24 binary64)) (pow.f64 (.f64 c a) #s(literal 12 binary64))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (*.f64 c a) #s(literal 8 binary64))) (pow.f64 b_2 #s(literal 16 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 b_2 #s(literal 16 binary64)) (+.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)))) (.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64))) (pow.f64 (.f64 c a) #s(literal 8 binary64)))) (.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64))) (+.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 b_2 #s(literal 24 binary64)) (+.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 8 binary64))) (pow.f64 b_2 #s(literal 16 binary64)))) (.f64 (+.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 8 binary64))) (pow.f64 b_2 #s(literal 16 binary64))) (pow.f64 (.f64 c a) #s(literal 12 binary64)))) (.f64 (+.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 8 binary64))) (pow.f64 b_2 #s(literal 16 binary64))) (+.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 8 binary64))) (pow.f64 b_2 #s(literal 16 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 #s(literal 16 binary64)) (pow.f64 (.f64 c a) #s(literal 8 binary64)))) (neg.f64 (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (neg.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 #s(literal 16 binary64)) (pow.f64 (.f64 c a) #s(literal 8 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 #s(literal 24 binary64)) (pow.f64 (.f64 c a) #s(literal 12 binary64)))) (neg.f64 (+.f64 (pow.f64 b_2 #s(literal 16 binary64)) (-.f64 (pow.f64 (.f64 c a) #s(literal 8 binary64)) (.f64 (pow.f64 b_2 #s(literal 8 binary64)) (neg.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 #s(literal 24 binary64)) (pow.f64 (.f64 c a) #s(literal 12 binary64)))) (neg.f64 (+.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (*.f64 c a) #s(literal 8 binary64))) (pow.f64 b_2 #s(literal 16 binary64)))))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 16 binary64)) (pow.f64 (.f64 c a) #s(literal 8 binary64))) (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (neg.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 16 binary64)) (pow.f64 (.f64 c a) #s(literal 8 binary64))) (+.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64))) (-.f64 (pow.f64 b_2 #s(literal 16 binary64)) (pow.f64 (.f64 c a) #s(literal 8 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 8 binary64))) (pow.f64 b_2 #s(literal 16 binary64))) (-.f64 (pow.f64 b_2 #s(literal 24 binary64)) (pow.f64 (*.f64 c a) #s(literal 12 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64))) (-.f64 (pow.f64 b_2 #s(literal 16 binary64)) (pow.f64 (.f64 c a) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 8 binary64))) (pow.f64 b_2 #s(literal 16 binary64))) (-.f64 (pow.f64 b_2 #s(literal 24 binary64)) (pow.f64 (*.f64 c a) #s(literal 12 binary64)))))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 24 binary64)) (pow.f64 (.f64 c a) #s(literal 12 binary64))) (+.f64 (pow.f64 b_2 #s(literal 16 binary64)) (-.f64 (pow.f64 (.f64 c a) #s(literal 8 binary64)) (.f64 (pow.f64 b_2 #s(literal 8 binary64)) (neg.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)))))))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 24 binary64)) (pow.f64 (.f64 c a) #s(literal 12 binary64))) (+.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (*.f64 c a) #s(literal 8 binary64))) (pow.f64 b_2 #s(literal 16 binary64))))
(fma.f64 (pow.f64 (.f64 (neg.f64 b_2) #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 4 binary64)) (neg.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64))))
(fma.f64 (neg.f64 (pow.f64 c #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)))
(fma.f64 (neg.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64))) (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 8 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (.f64 b_2 (neg.f64 b_2)) #s(literal 4 binary64)) (neg.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 b_2 #s(literal 8 binary64)) (neg.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64))))
(fma.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64))))
(fma.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (neg.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 8 binary64)))
(fma.f64 (pow.f64 b_2 #s(literal 6 binary64)) (.f64 b_2 b_2) (neg.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64))))
(fma.f64 (pow.f64 c #s(literal 4 binary64)) (neg.f64 (pow.f64 a #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 8 binary64)))
(fma.f64 (.f64 b_2 b_2) (pow.f64 b_2 #s(literal 6 binary64)) (neg.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64))))
(sqrt.f64 (.f64 (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 4 binary64))) (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (*.f64 c a) #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 16 binary64)) (+.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)))) (/.f64 (pow.f64 (.f64 c a) #s(literal 8 binary64)) (+.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)))))
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 24 binary64)) (+.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 8 binary64))) (pow.f64 b_2 #s(literal 16 binary64)))) (/.f64 (pow.f64 (.f64 c a) #s(literal 12 binary64)) (+.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (*.f64 c a) #s(literal 8 binary64))) (pow.f64 b_2 #s(literal 16 binary64)))))
(-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (*.f64 c a) #s(literal 4 binary64)))
(+.f64 (neg.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 8 binary64)))
(+.f64 (pow.f64 b_2 #s(literal 8 binary64)) (neg.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64))))

eval130.0ms (1.7%)

Memory: -20.7MiB live, 166.6MiB allocated
Compiler: Compiled 42 333 to 4 642 computations (89% saved)

prune27.0ms (0.3%)

Memory

29.3MiB live, 68.6MiB allocated

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	900	14	914
Fresh	4	1	5
Picked	3	2	5
Done	0	1	1
Total	907	18	925

Accuracy

94.4%

Counts

925 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.9%	(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) (neg.f64 b_2)) a)
	19.3%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 b_2 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))))) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))) a)
▶	28.2%	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) a)
	23.4%	(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))))
▶	29.1%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) a)
✓	49.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	27.7%	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))) a)
	13.8%	(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (.f64 a (/.f64 c b_2)) #s(literal 1 binary64)) b_2))) a)
✓	37.0%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
	29.0%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2)))
	36.8%	(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
	17.4%	(exp.f64 (.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64)))
	39.5%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
✓	39.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
▶	36.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
	35.6%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
▶	40.0%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2) (/.f64 c b_2) #s(literal -1/2 binary64)) b_2)) c))
▶	39.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2)) c))

Compiler

Compiled 967 to 559 computations (42.2% saved)

simplify124.0ms (1.6%)

Memory

-44.2MiB live, 68.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 b_2 b_2)
cost-diff	0	(-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
cost-diff	0	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) a)
cost-diff	128	(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))
cost-diff	0	(fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))
cost-diff	0	(neg.f64 b_2)
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
cost-diff	832	(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
cost-diff	0	#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))
cost-diff	0	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
cost-diff	0	(-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2)
cost-diff	0	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) a)
cost-diff	0	(/.f64 #s(literal -1/2 binary64) b_2)
cost-diff	0	#s(approx (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2))
cost-diff	0	(.f64 #s(approx (+ ( (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/.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 #s(approx (+ ( (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2)) c))
cost-diff	0	(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2) (/.f64 c b_2) #s(literal -1/2 binary64)) b_2)
cost-diff	0	#s(approx (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2) (/.f64 c b_2) #s(literal -1/2 binary64)) b_2))
cost-diff	0	(.f64 #s(approx (+ ( (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2) (/.f64 c b_2) #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 #s(approx (+ ( (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2) (/.f64 c b_2) #s(literal -1/2 binary64)) b_2)) c))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	482
0	74	482
1	133	479
2	283	479
3	695	479
4	1407	473
5	2738	473
6	5039	473
7	6798	473
8	7825	473
0	8007	465

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

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

localize206.0ms (2.7%)

Memory

16.9MiB live, 280.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	15.791082231788954	(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))
accuracy	24.842365321334952	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
accuracy	38.25868664322795	(-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
accuracy	44.321026088323	#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))
accuracy	0.0	(neg.f64 b_2)
accuracy	0.1171875	(/.f64 (/.f64 c b_2) b_2)
accuracy	4.647241555610991	(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
accuracy	40.35677644145256	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
accuracy	3.0971955713563033	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) a)
accuracy	15.971585609400673	(-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2)
accuracy	24.842365321334952	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
accuracy	44.321026088323	#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))
accuracy	0.0	(/.f64 #s(literal -1/2 binary64) b_2)
accuracy	1.358059279545895	(.f64 #s(approx (+ ( (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2)) c)
accuracy	17.202050585576572	#s(approx (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2))
accuracy	38.30349606306005	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2)) c))
accuracy	0.03515625	(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2) (/.f64 c b_2) #s(literal -1/2 binary64)) b_2)
accuracy	0.9682152820177998	(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2) (/.f64 c b_2) #s(literal -1/2 binary64))
accuracy	1.358059279545895	(.f64 #s(approx (+ ( (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2) (/.f64 c b_2) #s(literal -1/2 binary64)) b_2)) c)
accuracy	38.30349606306005	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2) (/.f64 c b_2) #s(literal -1/2 binary64)) b_2)) c))

Samples

76.0ms	89×	2	valid
51.0ms	80×	1	valid
23.0ms	71×	0	valid
13.0ms	16×	3	valid

Compiler

Compiled 813 to 93 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

ival-mult: 39.0ms (32% of total)

ival-div: 29.0ms (23.8% of total)

adjust: 21.0ms (17.2% of total)

ival-sub: 10.0ms (8.2% of total)

ival-pow: 8.0ms (6.6% of total)

ival-add: 7.0ms (5.7% of total)

ival-sqrt: 5.0ms (4.1% of total)

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

exact: 1.0ms (0.8% of total)

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

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

series59.0ms (0.8%)

Memory

-22.6MiB live, 141.5MiB allocated

Counts

22 → 173

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	b_2	@	0	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) c) (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/ (+ (* (/ (* -1/8 a) b_2) (/ c b_2)) -1/2) b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) c) (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/ -1/2 b_2) (/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) a) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (+ (* (/ (* -1/8 a) b_2) (/ c b_2)) -1/2) (/ (/ c b_2) b_2))
8.0ms	a	@	-inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) c) (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/ (+ (* (/ (* -1/8 a) b_2) (/ c b_2)) -1/2) b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) c) (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/ -1/2 b_2) (/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) a) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (+ (* (/ (* -1/8 a) b_2) (/ c b_2)) -1/2) (/ (/ c b_2) b_2))
6.0ms	c	@	inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) c) (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/ (+ (* (/ (* -1/8 a) b_2) (/ c b_2)) -1/2) b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) c) (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/ -1/2 b_2) (/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) a) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (+ (* (/ (* -1/8 a) b_2) (/ c b_2)) -1/2) (/ (/ c b_2) b_2))
6.0ms	c	@	0	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) c) (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/ (+ (* (/ (* -1/8 a) b_2) (/ c b_2)) -1/2) b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) c) (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/ -1/2 b_2) (/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) a) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (+ (* (/ (* -1/8 a) b_2) (/ c b_2)) -1/2) (/ (/ c b_2) b_2))
5.0ms	c	@	-inf	((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) c) (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/ (+ (* (/ (* -1/8 a) b_2) (/ c b_2)) -1/2) b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) c) (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/ -1/2 b_2) (/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) a) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (+ (* (/ (* -1/8 a) b_2) (/ c b_2)) -1/2) (/ (/ c b_2) b_2))

simplify286.0ms (3.7%)

Memory

16.7MiB live, 217.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	949	5140
1	3113	4830
0	8884	4623

Stop Event

1×	iter limit
1×	node limit

Counts

173 → 172

Calls

Call 1

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

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

rewrite207.0ms (2.7%)

Memory

-6.5MiB live, 186.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	391
0	74	355
1	297	352
2	2471	352
0	9158	346

Stop Event

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

Counts

22 → 620

Calls

Call 1

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

Outputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/.f64 (fma.f64 (/.f64 c b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2) #s(literal -1/2 binary64)) b_2)) c))
(.f64 #s(approx (+ ( (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/.f64 (fma.f64 (/.f64 c b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2) #s(literal -1/2 binary64)) b_2)) c)
(.f64 c #s(approx (+ ( (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/.f64 (fma.f64 (/.f64 c b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2) #s(literal -1/2 binary64)) b_2)))
#s(approx (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/.f64 (fma.f64 (/.f64 c b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2) #s(literal -1/2 binary64)) b_2))
(.f64 (pow.f64 (/.f64 b_2 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 (/.f64 a b_2) (/.f64 c b_2)) #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 c b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 b_2 (fma.f64 #s(literal -1/512 binary64) (pow.f64 (.f64 (/.f64 a b_2) (/.f64 c b_2)) #s(literal 3 binary64)) #s(literal -1/8 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 (/.f64 a b_2) (/.f64 c b_2)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 c b_2) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) a) b_2) #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(.f64 (pow.f64 b_2 #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (/.f64 c b_2) (/.f64 (.f64 #s(literal -1/8 binary64) a) b_2) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 b_2 #s(literal -1 binary64)) (fma.f64 (/.f64 c b_2) (/.f64 (.f64 #s(literal -1/8 binary64) a) b_2) #s(literal -1/2 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 c b_2) (/.f64 (.f64 #s(literal -1/8 binary64) a) b_2) #s(literal -1/2 binary64)) b_2))
(.f64 (neg.f64 (fma.f64 (/.f64 c b_2) (/.f64 (.f64 #s(literal -1/8 binary64) a) b_2) #s(literal -1/2 binary64))) (pow.f64 (neg.f64 b_2) #s(literal -1 binary64)))
(.f64 (fma.f64 (/.f64 c b_2) (/.f64 (.f64 #s(literal -1/8 binary64) a) b_2) #s(literal -1/2 binary64)) (pow.f64 b_2 #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 b_2 (fma.f64 (/.f64 c b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 b_2 (fma.f64 (/.f64 c b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 c b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2) #s(literal -1/2 binary64))) #s(literal -1 binary64)) b_2)
(/.f64 (.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 (/.f64 a b_2) (/.f64 c b_2)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 b_2 #s(literal -1 binary64))) (fma.f64 (/.f64 c b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 (.f64 (/.f64 a b_2) (/.f64 c b_2)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal -1 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 (/.f64 a b_2) (/.f64 c b_2)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 c b_2) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) a) b_2) #s(literal -1/2 binary64))))))
(/.f64 (.f64 (fma.f64 (/.f64 c b_2) (/.f64 (.f64 #s(literal -1/8 binary64) a) b_2) #s(literal -1/2 binary64)) #s(literal 1 binary64)) b_2)
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 c b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2) #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 b_2)))
(/.f64 (.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 (/.f64 a b_2) (/.f64 c b_2)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (/.f64 c b_2) (/.f64 (.f64 #s(literal -1/8 binary64) a) b_2) #s(literal 1/2 binary64)) b_2))
(/.f64 (.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 (.f64 (/.f64 a b_2) (/.f64 c b_2)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 (/.f64 a b_2) (/.f64 c b_2)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 c b_2) (.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2) #s(literal -1/2 binary64))))) b_2))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 (/.f64 a b_2) (/.f64 c b_2)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (.f64 b_2 (fma.f64 (/.f64 c b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2) #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b_2 (fma.f64 (/.f64 c b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b_2 (fma.f64 (/.f64 c b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (fma.f64 (/.f64 c b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2) #s(literal -1/2 binary64))))
(/.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 (.f64 (/.f64 a b_2) (/.f64 c b_2)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (.f64 b_2 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 (/.f64 a b_2) (/.f64 c b_2)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 c b_2) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) a) b_2) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (/.f64 c b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2) #s(literal -1/2 binary64))) (neg.f64 b_2))
(/.f64 (fma.f64 (/.f64 c b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2) #s(literal -1/2 binary64)) b_2)
(neg.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 c b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2) #s(literal -1/2 binary64))) b_2))
(neg.f64 (/.f64 (fma.f64 (/.f64 c b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2) #s(literal -1/2 binary64)) (neg.f64 b_2)))
(exp.f64 (.f64 (log.f64 (/.f64 b_2 (fma.f64 (/.f64 c b_2) (/.f64 (.f64 #s(literal -1/8 binary64) a) b_2) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2)) c))
(.f64 #s(approx (+ ( (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2)) c)
(.f64 c #s(approx (+ ( (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2)))
#s(approx (+ (* (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 (pow.f64 b_2 #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (neg.f64 b_2) #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 b_2 #s(literal -1 binary64)))
(pow.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 b_2 #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 b_2 #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 b_2 #s(literal -2 binary64)))
(/.f64 #s(literal 1/2 binary64) (neg.f64 b_2))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 b_2)))
(/.f64 #s(literal -1/2 binary64) b_2)
(neg.f64 (/.f64 #s(literal 1/2 binary64) b_2))
(exp.f64 (.f64 (log.f64 (.f64 b_2 #s(literal -2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 a (neg.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 a (-.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (.f64 b_2 b_2))) #s(literal -1 binary64)) (pow.f64 (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 a (-.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b_2 (+.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) b_2) #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 a (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) #s(literal -1 binary64)))
(.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) (pow.f64 a #s(literal -1 binary64)))
(.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2))
(.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) a))
(.f64 (neg.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2)) (pow.f64 (neg.f64 a) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (/.f64 (pow.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) #s(literal -1 binary64)) a))
(.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (pow.f64 (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 a (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) a) (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) #s(literal -1 binary64))
(pow.f64 (.f64 (pow.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) #s(literal -1 binary64)) a) #s(literal -1 binary64))
(pow.f64 (/.f64 a (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 b_2 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))))) a) (.f64 a (/.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))))))) (.f64 a a))
(/.f64 (-.f64 (.f64 (.f64 b_2 b_2) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) a)) (.f64 (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) a) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (.f64 (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) a) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)))
(/.f64 (-.f64 (.f64 (neg.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (/.f64 a b_2)) (.f64 (neg.f64 a) #s(literal 1 binary64))) (*.f64 (neg.f64 a) (/.f64 a b_2)))
(/.f64 (-.f64 (.f64 (neg.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (neg.f64 a)) (.f64 (neg.f64 a) (neg.f64 b_2))) (*.f64 a a))
(/.f64 (-.f64 (.f64 (neg.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) a) (.f64 (neg.f64 a) b_2)) (*.f64 (neg.f64 a) a))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 a b_2)) (.f64 (/.f64 a (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) #s(literal 1 binary64))) (.f64 (/.f64 a (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) (/.f64 a b_2)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 a)) (.f64 (/.f64 a (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (neg.f64 b_2))) (.f64 (/.f64 a (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) (neg.f64 a)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) a) (.f64 (/.f64 a (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) b_2)) (.f64 (/.f64 a (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a))
(/.f64 (-.f64 (.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (/.f64 a b_2)) (.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 a b_2)))
(/.f64 (-.f64 (.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (neg.f64 a)) (.f64 a (neg.f64 b_2))) (*.f64 a (neg.f64 a)))
(/.f64 (-.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) (neg.f64 b_2)) (neg.f64 a))
(/.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2)) #s(literal -1 binary64)) a)
(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) a) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))
(/.f64 (.f64 (-.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (.f64 b_2 b_2)) (pow.f64 a #s(literal -1 binary64))) (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2))
(/.f64 (.f64 (-.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (pow.f64 a #s(literal -1 binary64))) (fma.f64 b_2 (+.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) b_2) #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (pow.f64 a #s(literal -1 binary64))) (neg.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))))
(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (pow.f64 a #s(literal -1 binary64))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))
(/.f64 (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) #s(literal 1 binary64)) a)
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64))) (+.f64 (/.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) a) (/.f64 b_2 a)))
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) a) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) (.f64 (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) a) (/.f64 b_2 a)))))
(/.f64 (.f64 (-.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (.f64 b_2 b_2)) #s(literal 1 binary64)) (.f64 (+.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) a))
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(fma.f64 (neg.f64 b_2) (neg.f64 b_2) (.f64 (neg.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))
(fma.f64 (neg.f64 b_2) (neg.f64 b_2) (neg.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
(fma.f64 b_2 b_2 (.f64 (neg.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))
(fma.f64 b_2 b_2 (neg.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 b_2 b_2 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (/.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) #s(literal 2 binary64)) (fma.f64 b_2 b_2 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (fma.f64 b_2 b_2 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) #s(literal 3 binary64)) (fma.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (fma.f64 b_2 b_2 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) (pow.f64 b_2 #s(literal 4 binary64)))))
(-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
(+.f64 (neg.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (.f64 b_2 b_2))
(+.f64 (.f64 b_2 b_2) (.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))
(+.f64 (.f64 b_2 b_2) (neg.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
(.f64 (.f64 (neg.f64 b_2) #s(literal -1 binary64)) b_2)
(.f64 #s(literal -1 binary64) (.f64 b_2 (neg.f64 b_2)))
(.f64 #s(literal 1 binary64) (.f64 b_2 b_2))
(.f64 (.f64 b_2 b_2) #s(literal 1 binary64))
(*.f64 (neg.f64 b_2) (neg.f64 b_2))
(*.f64 b_2 b_2)
(pow.f64 (*.f64 b_2 b_2) #s(literal 1 binary64))
(pow.f64 (neg.f64 b_2) #s(literal 2 binary64))
(pow.f64 b_2 #s(literal 2 binary64))
(neg.f64 (*.f64 b_2 (neg.f64 b_2)))
(neg.f64 (*.f64 (neg.f64 b_2) b_2))
(exp.f64 (*.f64 (log.f64 (neg.f64 b_2)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 b_2) #s(literal 2 binary64)))
(.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 (/.f64 a b_2) (/.f64 c b_2)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (/.f64 c b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 (.f64 (/.f64 a b_2) (/.f64 c b_2)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 (/.f64 a b_2) (/.f64 c b_2)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 c b_2) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) a) b_2) #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (/.f64 c b_2) (/.f64 (.f64 #s(literal -1/8 binary64) a) b_2) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 (/.f64 a b_2) (/.f64 c b_2)) #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 (/.f64 a b_2) (/.f64 c b_2)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 c b_2) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) a) b_2) #s(literal -1/2 binary64))))) (fma.f64 #s(literal -1/512 binary64) (pow.f64 (*.f64 (/.f64 a b_2) (/.f64 c b_2)) #s(literal 3 binary64)) #s(literal -1/8 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/8 binary64) a) c) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 (/.f64 c b_2) (/.f64 (.f64 #s(literal -1/8 binary64) a) b_2) #s(literal 1/2 binary64))) (.f64 (fma.f64 (/.f64 c b_2) (/.f64 (.f64 #s(literal -1/8 binary64) a) b_2) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 (/.f64 c b_2) (/.f64 (.f64 #s(literal -1/8 binary64) a) b_2) #s(literal 1/2 binary64)) (fma.f64 (/.f64 c b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/8 binary64) a) c) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 c b_2) #s(literal -1/8 binary64)) (/.f64 a b_2))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 (/.f64 a b_2) (/.f64 c b_2)) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (/.f64 c b_2) (/.f64 (.f64 #s(literal -1/8 binary64) a) b_2) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 (.f64 (/.f64 a b_2) (/.f64 c b_2)) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 (/.f64 a b_2) (/.f64 c b_2)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 c b_2) (.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2) #s(literal -1/2 binary64)))))))
(/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 (/.f64 a b_2) (/.f64 c b_2)) #s(literal 2 binary64)) #s(literal -1/4 binary64)) (fma.f64 (/.f64 c b_2) (/.f64 (.f64 #s(literal -1/8 binary64) a) b_2) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 c b_2) (/.f64 (.f64 #s(literal -1/8 binary64) a) b_2) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 (/.f64 a b_2) (/.f64 c b_2)) #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 (/.f64 a b_2) (/.f64 c b_2)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 c b_2) (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) a) b_2) #s(literal -1/2 binary64))))) (fma.f64 #s(literal -1/512 binary64) (pow.f64 (*.f64 (/.f64 a b_2) (/.f64 c b_2)) #s(literal 3 binary64)) #s(literal -1/8 binary64))))
(/.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 (.f64 (/.f64 a b_2) (/.f64 c b_2)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) a) b_2) c) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal -1/8 binary64) a) c) #s(literal -1/2 binary64))) (*.f64 b_2 b_2))))
(/.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 (.f64 (/.f64 a b_2) (/.f64 c b_2)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 (/.f64 a b_2) (/.f64 c b_2)) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (/.f64 c b_2) (.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2) #s(literal -1/2 binary64))))))
(fma.f64 (*.f64 (/.f64 c b_2) #s(literal -1/8 binary64)) (/.f64 a b_2) #s(literal -1/2 binary64))
(fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) a) c) (pow.f64 b_2 #s(literal -2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (.f64 (/.f64 (.f64 #s(literal -1/8 binary64) a) b_2) c) (pow.f64 b_2 #s(literal -1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 c b_2) (/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2) #s(literal -1/2 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2) (/.f64 c b_2) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/8 binary64) a) (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 a b_2) (/.f64 c b_2)) #s(literal -1/2 binary64))
(fma.f64 c (pow.f64 (*.f64 b_2 (/.f64 (/.f64 b_2 a) #s(literal -1/8 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -1/8 binary64) a) c) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 (/.f64 c b_2) (/.f64 (.f64 #s(literal -1/8 binary64) a) b_2) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 c b_2) (/.f64 (.f64 #s(literal -1/8 binary64) a) b_2) #s(literal 1/2 binary64))))
(+.f64 (.f64 (.f64 (/.f64 c b_2) #s(literal -1/8 binary64)) (/.f64 a b_2)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 (/.f64 c b_2) #s(literal -1/8 binary64)) (/.f64 a b_2)))
(*.f64 (pow.f64 (/.f64 b_2 (neg.f64 c)) #s(literal -1 binary64)) (pow.f64 (neg.f64 b_2) #s(literal -1 binary64)))
(*.f64 (pow.f64 b_2 #s(literal -1 binary64)) (/.f64 c b_2))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 c b_2) b_2))
(*.f64 (/.f64 (neg.f64 c) b_2) (pow.f64 (neg.f64 b_2) #s(literal -1 binary64)))
(*.f64 (/.f64 c b_2) (pow.f64 b_2 #s(literal -1 binary64)))
(*.f64 c (/.f64 (pow.f64 b_2 #s(literal -1 binary64)) b_2))
(*.f64 c (pow.f64 b_2 #s(literal -2 binary64)))
(pow.f64 (/.f64 (*.f64 (/.f64 b_2 c) b_2) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 b_2 b_2) c) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 b_2 c) b_2) #s(literal -1 binary64))
(/.f64 (/.f64 (/.f64 (neg.f64 c) b_2) #s(literal -1 binary64)) b_2)
(/.f64 (*.f64 (/.f64 c b_2) #s(literal 1 binary64)) b_2)
(/.f64 (.f64 (neg.f64 c) #s(literal 1 binary64)) (.f64 (neg.f64 b_2) b_2))
(/.f64 (.f64 c #s(literal 1 binary64)) (.f64 b_2 b_2))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 b_2 c) b_2)))
(/.f64 (pow.f64 b_2 #s(literal -1 binary64)) (/.f64 b_2 c))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 b_2 c) b_2) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 b_2) c))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b_2 c) b_2))
(/.f64 (/.f64 (neg.f64 c) b_2) (neg.f64 b_2))
(/.f64 (neg.f64 c) (neg.f64 (*.f64 b_2 b_2)))
(/.f64 (neg.f64 c) (*.f64 b_2 (neg.f64 b_2)))
(/.f64 (/.f64 c b_2) (neg.f64 (neg.f64 b_2)))
(/.f64 (/.f64 c b_2) b_2)
(/.f64 c (*.f64 b_2 b_2))
(neg.f64 (/.f64 (/.f64 (neg.f64 c) b_2) b_2))
(neg.f64 (/.f64 (/.f64 c b_2) (neg.f64 b_2)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 b_2 c) b_2)) #s(literal -1 binary64)))

eval96.0ms (1.3%)

Memory: 5.1MiB live, 154.9MiB allocated
Compiler: Compiled 31 885 to 3 328 computations (89.6% saved)

prune34.0ms (0.4%)

Memory

9.3MiB live, 48.6MiB allocated

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	723	10	733
Fresh	3	7	10
Picked	2	3	5
Done	0	3	3
Total	728	23	751

Accuracy

94.4%

Counts

751 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.9%	(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) (neg.f64 b_2)) a)
	19.3%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 b_2 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))))) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))) a)
	29.8%	(/.f64 (/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (.f64 c a)) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) a)
▶	17.3%	(/.f64 (-.f64 (.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) a) (.f64 a b_2)) (*.f64 a a))
▶	49.1%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))) b_2) a)
✓	29.1%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) a)
	27.7%	(/.f64 (-.f64 (exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) b_2) a)
	23.4%	(/.f64 (-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (.f64 b_2 b_2)) (.f64 a (+.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2)))
✓	49.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	13.8%	(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (.f64 a (/.f64 c b_2)) #s(literal 1 binary64)) b_2))) a)
✓	37.0%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
	29.0%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2)))
	36.8%	(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
	17.4%	(exp.f64 (.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64)))
	39.5%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
✓	39.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
	36.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 b_2) #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))))
✓	40.0%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2) (/.f64 c b_2) #s(literal -1/2 binary64)) b_2)) c))
	39.2%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/.f64 (fma.f64 a (.f64 #s(literal 1/8 binary64) (/.f64 c (.f64 b_2 b_2))) #s(literal 1/2 binary64)) (neg.f64 b_2))) c))
✓	39.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2)) c))
▶	36.9%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))))
	27.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 (fma.f64 (/.f64 (/.f64 b_2 a) c) #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) b_2)) c)))
▶	13.6%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))

Compiler

Compiled 1 225 to 730 computations (40.4% saved)

simplify165.0ms (2.2%)

Memory

29.4MiB live, 147.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
cost-diff	0	(sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
cost-diff	0	(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) (neg.f64 b_2)) a)
cost-diff	2688	(fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) (neg.f64 b_2))
cost-diff	0	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
cost-diff	0	(.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) a)
cost-diff	320	(-.f64 (.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) a) (.f64 a b_2))
cost-diff	640	(/.f64 (-.f64 (.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) a) (.f64 a b_2)) (*.f64 a a))
cost-diff	0	(/.f64 b_2 a)
cost-diff	0	(fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
cost-diff	0	#s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))))
cost-diff	0	(/.f64 c b_2)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
cost-diff	0	#s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
cost-diff	0	#s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))
cost-diff	0	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))))
cost-diff	0	(-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))) b_2)
cost-diff	0	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))) b_2) a)

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	47	450
0	70	424
1	121	416
2	242	408
3	588	404
4	1206	392
5	3734	392
0	8468	392

Stop Event

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

Calls

Call 1

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

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

localize213.0ms (2.8%)

Memory

-15.8MiB live, 257.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.0971955713563033	(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) (neg.f64 b_2)) a)
accuracy	23.91446878938646	(fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) (neg.f64 b_2))
accuracy	24.842365321334952	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
accuracy	44.321026088323	#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))
accuracy	13.290476359616642	(-.f64 (.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) a) (.f64 a b_2))
accuracy	24.842365321334952	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
accuracy	28.820155334328554	(/.f64 (-.f64 (.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) a) (.f64 a b_2)) (*.f64 a a))
accuracy	44.321026088323	#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
accuracy	0.0	#s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
accuracy	0.00390625	(fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
accuracy	40.35677644145256	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))))
accuracy	0.0	(/.f64 c b_2)
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
accuracy	40.35677644145256	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
accuracy	46.09167006957604	#s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
accuracy	0.00390625	(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
accuracy	3.0971955713563033	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))) b_2) a)
accuracy	15.971585609400673	(-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))) b_2)
accuracy	24.842365321334952	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))))

Samples

86.0ms	45×	2	valid
39.0ms	158×	0	valid
27.0ms	15×	3	valid
21.0ms	38×	1	valid

Compiler

Compiled 750 to 87 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 135.0ms

ival-sub: 46.0ms (34.1% of total)

ival-mult: 35.0ms (26% of total)

adjust: 19.0ms (14.1% of total)

ival-div: 18.0ms (13.4% of total)

ival-add: 8.0ms (5.9% of total)

ival-sqrt: 7.0ms (5.2% of total)

ival-neg: 2.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series75.0ms (1%)

Memory

-7.4MiB live, 120.6MiB allocated

Counts

21 → 209

Calls

Call 1

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

Outputs
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ b_2 a)
(* -1/2 (/ (* (pow a 2) c) b_2))
(* (pow a 2) (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* (pow a 2) (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* (pow a 2) (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* 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)))))))))
(* (pow 1 1/4) (sqrt b_2))
(+ (* -1/4 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b_2 3)))))) (* (pow 1 1/4) (sqrt b_2)))
(+ (* a (+ (* -1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b_2 3))) c))) (* (pow 1 1/4) (* (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (* 1/32 (/ (pow c 2) (pow b_2 4))))) (sqrt b_2))))) (* (pow 1 1/4) (sqrt b_2)))
(+ (* a (+ (* -1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b_2 3))) c))) (* a (+ (* (pow 1 1/4) (* (sqrt b_2) (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (* 1/32 (/ (pow c 2) (pow b_2 4)))))) (* (pow 1 1/4) (* (* a (+ (* -1/12 (/ (pow c 3) (pow b_2 6))) (+ (* -1/384 (/ (pow c 3) (pow b_2 6))) (* 1/32 (/ (pow c 3) (pow b_2 6)))))) (sqrt b_2))))))) (* (pow 1 1/4) (sqrt b_2)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* 1/2 (/ c b_2))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* (pow a 2) (+ (* -1 (/ 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)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* (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)))) (/ b_2 a)))
(* (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))))))
(exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a))))))
(+ (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/8 (/ (pow b_2 4) (pow c 2))) (* 1/32 (/ (pow b_2 4) (pow c 2))))) (pow a 2))))
(+ (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/8 (/ (pow b_2 4) (pow c 2))) (* 1/32 (/ (pow b_2 4) (pow c 2))))) (pow a 2)) (/ (* (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/12 (/ (pow b_2 6) (pow c 3))) (+ (* -1/384 (/ (pow b_2 6) (pow c 3))) (* 1/32 (/ (pow b_2 6) (pow c 3)))))) (pow a 3)))))
(* a (+ (* -1 c) (/ (pow b_2 2) a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) (* -1 b_2)) a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a)) (* -1 b_2)) a))))
(* (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))))))))
(exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a))))))
(+ (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (+ (* -1/8 (/ (pow b_2 4) (pow c 2))) (* 1/32 (/ (pow b_2 4) (pow c 2))))) a)) (* 1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a))))))) c))) a)))
(+ (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (+ (* -1/32 (/ (pow b_2 6) (pow c 3))) (+ (* 1/384 (/ (pow b_2 6) (pow c 3))) (* 1/12 (/ (pow b_2 6) (pow c 3)))))) a)) (* (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (+ (* -1/8 (/ (pow b_2 4) (pow c 2))) (* 1/32 (/ (pow b_2 4) (pow c 2)))))) a)) (* 1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a))))))) c))) a)))
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* 1/2 (* (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)))))))))
(- (pow b_2 2) (* a c))
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(/ c b_2)
(+ (* -1 (* a b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ a c)) (/ b_2 (sqrt -1)))) a)) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (- (* 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)))))) a)) (* (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)))))))))
(pow (* -1 (* a c)) 1/4)
(+ (* -1/4 (* (pow (/ -1 (* (pow a 3) (pow c 3))) 1/4) (pow b_2 2))) (pow (* -1 (* a c)) 1/4))
(+ (* (pow b_2 2) (+ (* -1/4 (pow (/ -1 (* (pow a 3) (pow c 3))) 1/4)) (* -3/32 (* (pow (/ -1 (* (pow a 7) (pow c 7))) 1/4) (pow b_2 2))))) (pow (* -1 (* a c)) 1/4))
(+ (* (pow b_2 2) (+ (* -1/4 (pow (/ -1 (* (pow a 3) (pow c 3))) 1/4)) (* (pow b_2 2) (+ (* -3/32 (pow (/ -1 (* (pow a 7) (pow c 7))) 1/4)) (* -7/128 (* (pow (/ -1 (* (pow a 11) (pow c 11))) 1/4) (pow b_2 2))))))) (pow (* -1 (* a c)) 1/4))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(/ (+ (* -1/2 (* (pow a 2) c)) (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -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)
(/ (+ (* -1/2 (* (pow a 2) c)) (+ (* -1/2 (/ (* a (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4))))) (pow b_2 6))) (+ (* -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)
(* 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)))))))
(sqrt b_2)
(+ (sqrt b_2) (* -1/4 (* (* a c) (sqrt (/ 1 (pow b_2 3))))))
(+ (sqrt b_2) (+ (* -1/4 (* (* a c) (sqrt (/ 1 (pow b_2 3))))) (* (sqrt (/ 1 (pow b_2 7))) (+ (* -1/8 (* (pow a 2) (pow c 2))) (* 1/32 (* (pow a 2) (pow c 2)))))))
(+ (sqrt b_2) (+ (* -1/4 (* (* a c) (sqrt (/ 1 (pow b_2 3))))) (+ (* (sqrt (/ 1 (pow b_2 7))) (+ (* -1/8 (* (pow a 2) (pow c 2))) (* 1/32 (* (pow a 2) (pow c 2))))) (* (sqrt (/ 1 (pow b_2 11))) (+ (* -1/12 (* (pow a 3) (pow c 3))) (+ (* -1/384 (* (pow a 3) (pow c 3))) (* 1/32 (* (pow a 3) (pow c 3)))))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1 (/ (* b_2 (- a (* -1 a))) (pow a 2)))
(* -1 (* b_2 (- (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a)) (/ -1 a))))
(* -1 (* b_2 (- (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (/ 1 a))) (/ -1 a))))
(* -1 (* b_2 (- (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (/ 1 a)))) (/ -1 a))))
(* -1 (* b_2 (- a (* -1 a))))
(* -1 (* b_2 (- (+ a (* -1/2 (/ (* (pow a 2) c) (pow b_2 2)))) (* -1 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 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)))))) (* -1 a))))
(* -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))))))))
(* (sqrt b_2) (sqrt -1))
(+ (* -1/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 3))))) (* (sqrt b_2) (sqrt -1)))
(+ (* -1/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 3))))) (+ (* (sqrt b_2) (sqrt -1)) (* (sqrt (/ 1 (pow b_2 7))) (* (sqrt -1) (+ (* -1/8 (* (pow a 2) (pow c 2))) (* 1/32 (* (pow a 2) (pow c 2))))))))
(+ (* -1/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 3))))) (+ (* (sqrt b_2) (sqrt -1)) (+ (* (sqrt (/ 1 (pow b_2 7))) (* (sqrt -1) (+ (* -1/8 (* (pow a 2) (pow c 2))) (* 1/32 (* (pow a 2) (pow c 2)))))) (* (sqrt (/ 1 (pow b_2 11))) (* (sqrt -1) (+ (* -1/12 (* (pow a 3) (pow c 3))) (+ (* -1/384 (* (pow a 3) (pow c 3))) (* 1/32 (* (pow a 3) (pow c 3))))))))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(+ b_2 (* 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))))))))
(* c (+ (* -1/2 (/ (pow a 2) b_2)) (* -1/8 (/ (* (pow a 3) c) (pow b_2 3)))))
(* 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)))))))
(* c (+ (* -1/2 (/ (pow a 2) b_2)) (* c (+ (* -1/8 (/ (pow a 3) (pow b_2 3))) (* 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)))))))))
(+ (* -1/2 (/ (* (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))))))))
(+ (* c (+ (* -1/4 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b_2 3)))))) (* (pow 1 1/4) (* (sqrt b_2) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 4))) (* 1/32 (/ (pow a 2) (pow b_2 4))))))))) (* (pow 1 1/4) (sqrt b_2)))
(+ (* c (+ (* -1/4 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b_2 3)))))) (* c (+ (* (pow 1 1/4) (* (sqrt b_2) (* c (+ (* -1/12 (/ (pow a 3) (pow b_2 6))) (+ (* -1/384 (/ (pow a 3) (pow b_2 6))) (* 1/32 (/ (pow a 3) (pow b_2 6)))))))) (* (pow 1 1/4) (* (sqrt b_2) (+ (* -1/8 (/ (pow a 2) (pow b_2 4))) (* 1/32 (/ (pow a 2) (pow b_2 4)))))))))) (* (pow 1 1/4) (sqrt b_2)))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* 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)))
(* 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))))))
(* c (- (/ (pow b_2 2) c) a))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -1 (/ (* 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)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) 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)))) (/ (* a b_2) c)))
(* 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))))))
(exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c))))))
(+ (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/8 (/ (pow b_2 4) (pow a 2))) (* 1/32 (/ (pow b_2 4) (pow a 2))))) (pow c 2))))
(+ (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/8 (/ (pow b_2 4) (pow a 2))) (* 1/32 (/ (pow b_2 4) (pow a 2))))) (pow c 2)) (/ (* (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/12 (/ (pow b_2 6) (pow a 3))) (+ (* -1/384 (/ (pow b_2 6) (pow a 3))) (* 1/32 (/ (pow b_2 6) (pow a 3)))))) (pow c 3)))))
(* c (+ (* -1 a) (/ (pow b_2 2) c)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* 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 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (+ (* (sqrt (/ (pow a 3) c)) (sqrt -1)) (/ (* a b_2) c))))
(* -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)))))
(* -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)))))))
(exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))
(+ (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (+ (* -1/8 (/ (pow b_2 4) (pow a 2))) (* 1/32 (/ (pow b_2 4) (pow a 2))))) c)) (* 1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))) a))) c)))
(+ (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (+ (* -1/32 (/ (pow b_2 6) (pow a 3))) (+ (* 1/384 (/ (pow b_2 6) (pow a 3))) (* 1/12 (/ (pow b_2 6) (pow a 3)))))) c)) (* (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (+ (* -1/8 (/ (pow b_2 4) (pow a 2))) (* 1/32 (/ (pow b_2 4) (pow a 2)))))) c)) (* 1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))) a))) c)))
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))

Calls

9 calls:

Time	Variable		Point	Expression
20.0ms	b_2	@	0	((/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (* 1/2 (/ c b_2)) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (+ (* (/ b_2 a) -2) (* 1/2 (/ c b_2))) (/ b_2 a) (/ (- (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a b_2)) (* a a)) (- (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a b_2)) (* (sqrt (- (* b_2 b_2) (* a c))) a) (sqrt (- (* b_2 b_2) (* a c))) (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) (/ (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) a) (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (+ (* (neg a) c) (* b_2 b_2)) (- (* b_2 b_2) (* a c)))
14.0ms	a	@	-inf	((/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (* 1/2 (/ c b_2)) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (+ (* (/ b_2 a) -2) (* 1/2 (/ c b_2))) (/ b_2 a) (/ (- (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a b_2)) (* a a)) (- (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a b_2)) (* (sqrt (- (* b_2 b_2) (* a c))) a) (sqrt (- (* b_2 b_2) (* a c))) (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) (/ (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) a) (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (+ (* (neg a) c) (* b_2 b_2)) (- (* b_2 b_2) (* a c)))
13.0ms	c	@	inf	((/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (* 1/2 (/ c b_2)) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (+ (* (/ b_2 a) -2) (* 1/2 (/ c b_2))) (/ b_2 a) (/ (- (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a b_2)) (* a a)) (- (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a b_2)) (* (sqrt (- (* b_2 b_2) (* a c))) a) (sqrt (- (* b_2 b_2) (* a c))) (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) (/ (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) a) (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (+ (* (neg a) c) (* b_2 b_2)) (- (* b_2 b_2) (* a c)))
5.0ms	c	@	-inf	((/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (* 1/2 (/ c b_2)) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (+ (* (/ b_2 a) -2) (* 1/2 (/ c b_2))) (/ b_2 a) (/ (- (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a b_2)) (* a a)) (- (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a b_2)) (* (sqrt (- (* b_2 b_2) (* a c))) a) (sqrt (- (* b_2 b_2) (* a c))) (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) (/ (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) a) (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (+ (* (neg a) c) (* b_2 b_2)) (- (* b_2 b_2) (* a c)))
4.0ms	b_2	@	inf	((/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (* 1/2 (/ c b_2)) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (+ (* (/ b_2 a) -2) (* 1/2 (/ c b_2))) (/ b_2 a) (/ (- (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a b_2)) (* a a)) (- (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a b_2)) (* (sqrt (- (* b_2 b_2) (* a c))) a) (sqrt (- (* b_2 b_2) (* a c))) (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) (/ (+ (* (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (sqrt (sqrt (- (* b_2 b_2) (* a c))))) (neg b_2)) a) (sqrt (sqrt (- (* b_2 b_2) (* a c)))) (+ (* (neg a) c) (* b_2 b_2)) (- (* b_2 b_2) (* a c)))

simplify196.0ms (2.6%)

Memory

24.9MiB live, 181.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1047	6495
1	3465	6188
0	8559	5914

Stop Event

1×	iter limit
1×	node limit

Counts

209 → 208

Calls

Call 1

Inputs
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ b_2 a)
(* -1/2 (/ (* (pow a 2) c) b_2))
(* (pow a 2) (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* (pow a 2) (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* (pow a 2) (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* 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)))))))))
(* (pow 1 1/4) (sqrt b_2))
(+ (* -1/4 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b_2 3)))))) (* (pow 1 1/4) (sqrt b_2)))
(+ (* a (+ (* -1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b_2 3))) c))) (* (pow 1 1/4) (* (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (* 1/32 (/ (pow c 2) (pow b_2 4))))) (sqrt b_2))))) (* (pow 1 1/4) (sqrt b_2)))
(+ (* a (+ (* -1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b_2 3))) c))) (* a (+ (* (pow 1 1/4) (* (sqrt b_2) (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (* 1/32 (/ (pow c 2) (pow b_2 4)))))) (* (pow 1 1/4) (* (* a (+ (* -1/12 (/ (pow c 3) (pow b_2 6))) (+ (* -1/384 (/ (pow c 3) (pow b_2 6))) (* 1/32 (/ (pow c 3) (pow b_2 6)))))) (sqrt b_2))))))) (* (pow 1 1/4) (sqrt b_2)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* 1/2 (/ c b_2))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* (pow a 2) (+ (* -1 (/ 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)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* (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)))) (/ b_2 a)))
(* (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))))))
(exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a))))))
(+ (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/8 (/ (pow b_2 4) (pow c 2))) (* 1/32 (/ (pow b_2 4) (pow c 2))))) (pow a 2))))
(+ (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/8 (/ (pow b_2 4) (pow c 2))) (* 1/32 (/ (pow b_2 4) (pow c 2))))) (pow a 2)) (/ (* (exp (* 1/4 (+ (log (neg c)) (* -1 (log (/ 1 a)))))) (+ (* -1/12 (/ (pow b_2 6) (pow c 3))) (+ (* -1/384 (/ (pow b_2 6) (pow c 3))) (* 1/32 (/ (pow b_2 6) (pow c 3)))))) (pow a 3)))))
(* a (+ (* -1 c) (/ (pow b_2 2) a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) (* -1 b_2)) a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a)) (* -1 b_2)) a))))
(* (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))))))))
(exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a))))))
(+ (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (+ (* -1/8 (/ (pow b_2 4) (pow c 2))) (* 1/32 (/ (pow b_2 4) (pow c 2))))) a)) (* 1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a))))))) c))) a)))
(+ (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (+ (* -1/32 (/ (pow b_2 6) (pow c 3))) (+ (* 1/384 (/ (pow b_2 6) (pow c 3))) (* 1/12 (/ (pow b_2 6) (pow c 3)))))) a)) (* (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a)))))) (+ (* -1/8 (/ (pow b_2 4) (pow c 2))) (* 1/32 (/ (pow b_2 4) (pow c 2)))))) a)) (* 1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 c))) (* -1 (log (/ -1 a))))))) c))) a)))
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* 1/2 (* (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)))))))))
(- (pow b_2 2) (* a c))
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(/ c b_2)
(+ (* -1 (* a b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ a c)) (/ b_2 (sqrt -1)))) a)) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (- (* 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)))))) a)) (* (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)))))))))
(pow (* -1 (* a c)) 1/4)
(+ (* -1/4 (* (pow (/ -1 (* (pow a 3) (pow c 3))) 1/4) (pow b_2 2))) (pow (* -1 (* a c)) 1/4))
(+ (* (pow b_2 2) (+ (* -1/4 (pow (/ -1 (* (pow a 3) (pow c 3))) 1/4)) (* -3/32 (* (pow (/ -1 (* (pow a 7) (pow c 7))) 1/4) (pow b_2 2))))) (pow (* -1 (* a c)) 1/4))
(+ (* (pow b_2 2) (+ (* -1/4 (pow (/ -1 (* (pow a 3) (pow c 3))) 1/4)) (* (pow b_2 2) (+ (* -3/32 (pow (/ -1 (* (pow a 7) (pow c 7))) 1/4)) (* -7/128 (* (pow (/ -1 (* (pow a 11) (pow c 11))) 1/4) (pow b_2 2))))))) (pow (* -1 (* a c)) 1/4))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(/ (+ (* -1/2 (* (pow a 2) c)) (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -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)
(/ (+ (* -1/2 (* (pow a 2) c)) (+ (* -1/2 (/ (* a (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4))))) (pow b_2 6))) (+ (* -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)
(* 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)))))))
(sqrt b_2)
(+ (sqrt b_2) (* -1/4 (* (* a c) (sqrt (/ 1 (pow b_2 3))))))
(+ (sqrt b_2) (+ (* -1/4 (* (* a c) (sqrt (/ 1 (pow b_2 3))))) (* (sqrt (/ 1 (pow b_2 7))) (+ (* -1/8 (* (pow a 2) (pow c 2))) (* 1/32 (* (pow a 2) (pow c 2)))))))
(+ (sqrt b_2) (+ (* -1/4 (* (* a c) (sqrt (/ 1 (pow b_2 3))))) (+ (* (sqrt (/ 1 (pow b_2 7))) (+ (* -1/8 (* (pow a 2) (pow c 2))) (* 1/32 (* (pow a 2) (pow c 2))))) (* (sqrt (/ 1 (pow b_2 11))) (+ (* -1/12 (* (pow a 3) (pow c 3))) (+ (* -1/384 (* (pow a 3) (pow c 3))) (* 1/32 (* (pow a 3) (pow c 3)))))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1 (/ (* b_2 (- a (* -1 a))) (pow a 2)))
(* -1 (* b_2 (- (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a)) (/ -1 a))))
(* -1 (* b_2 (- (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (/ 1 a))) (/ -1 a))))
(* -1 (* b_2 (- (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (/ 1 a)))) (/ -1 a))))
(* -1 (* b_2 (- a (* -1 a))))
(* -1 (* b_2 (- (+ a (* -1/2 (/ (* (pow a 2) c) (pow b_2 2)))) (* -1 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 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)))))) (* -1 a))))
(* -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))))))))
(* (sqrt b_2) (sqrt -1))
(+ (* -1/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 3))))) (* (sqrt b_2) (sqrt -1)))
(+ (* -1/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 3))))) (+ (* (sqrt b_2) (sqrt -1)) (* (sqrt (/ 1 (pow b_2 7))) (* (sqrt -1) (+ (* -1/8 (* (pow a 2) (pow c 2))) (* 1/32 (* (pow a 2) (pow c 2))))))))
(+ (* -1/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 3))))) (+ (* (sqrt b_2) (sqrt -1)) (+ (* (sqrt (/ 1 (pow b_2 7))) (* (sqrt -1) (+ (* -1/8 (* (pow a 2) (pow c 2))) (* 1/32 (* (pow a 2) (pow c 2)))))) (* (sqrt (/ 1 (pow b_2 11))) (* (sqrt -1) (+ (* -1/12 (* (pow a 3) (pow c 3))) (+ (* -1/384 (* (pow a 3) (pow c 3))) (* 1/32 (* (pow a 3) (pow c 3))))))))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(+ b_2 (* 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))))))))
(* c (+ (* -1/2 (/ (pow a 2) b_2)) (* -1/8 (/ (* (pow a 3) c) (pow b_2 3)))))
(* 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)))))))
(* c (+ (* -1/2 (/ (pow a 2) b_2)) (* c (+ (* -1/8 (/ (pow a 3) (pow b_2 3))) (* 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)))))))))
(+ (* -1/2 (/ (* (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))))))))
(+ (* c (+ (* -1/4 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b_2 3)))))) (* (pow 1 1/4) (* (sqrt b_2) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 4))) (* 1/32 (/ (pow a 2) (pow b_2 4))))))))) (* (pow 1 1/4) (sqrt b_2)))
(+ (* c (+ (* -1/4 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b_2 3)))))) (* c (+ (* (pow 1 1/4) (* (sqrt b_2) (* c (+ (* -1/12 (/ (pow a 3) (pow b_2 6))) (+ (* -1/384 (/ (pow a 3) (pow b_2 6))) (* 1/32 (/ (pow a 3) (pow b_2 6)))))))) (* (pow 1 1/4) (* (sqrt b_2) (+ (* -1/8 (/ (pow a 2) (pow b_2 4))) (* 1/32 (/ (pow a 2) (pow b_2 4)))))))))) (* (pow 1 1/4) (sqrt b_2)))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* 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)))
(* 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))))))
(* c (- (/ (pow b_2 2) c) a))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -1 (/ (* 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)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) 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)))) (/ (* a b_2) c)))
(* 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))))))
(exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c))))))
(+ (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/8 (/ (pow b_2 4) (pow a 2))) (* 1/32 (/ (pow b_2 4) (pow a 2))))) (pow c 2))))
(+ (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/8 (/ (pow b_2 4) (pow a 2))) (* 1/32 (/ (pow b_2 4) (pow a 2))))) (pow c 2)) (/ (* (exp (* 1/4 (+ (log (neg a)) (* -1 (log (/ 1 c)))))) (+ (* -1/12 (/ (pow b_2 6) (pow a 3))) (+ (* -1/384 (/ (pow b_2 6) (pow a 3))) (* 1/32 (/ (pow b_2 6) (pow a 3)))))) (pow c 3)))))
(* c (+ (* -1 a) (/ (pow b_2 2) c)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* 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 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (+ (* (sqrt (/ (pow a 3) c)) (sqrt -1)) (/ (* a b_2) c))))
(* -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)))))
(* -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)))))))
(exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))
(+ (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))) (* a c))))
(+ (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (+ (* -1/8 (/ (pow b_2 4) (pow a 2))) (* 1/32 (/ (pow b_2 4) (pow a 2))))) c)) (* 1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))) a))) c)))
(+ (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (+ (* -1/32 (/ (pow b_2 6) (pow a 3))) (+ (* 1/384 (/ (pow b_2 6) (pow a 3))) (* 1/12 (/ (pow b_2 6) (pow a 3)))))) c)) (* (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (+ (* -1/8 (/ (pow b_2 4) (pow a 2))) (* 1/32 (/ (pow b_2 4) (pow a 2)))))) c)) (* 1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))) a))) c)))
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))

Outputs
(* -1/2 (/ c b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 a (/.f64 (/.f64 (.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 5/64 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) b_2)) #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (.f64 (.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
(* -1/2 (/ (* a c) b_2))
(.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a)
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a)
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 a (/.f64 (/.f64 (.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 5/64 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) b_2)) #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (.f64 (.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a)
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(fma.f64 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a b_2)
(pow b_2 2)
(*.f64 b_2 b_2)
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(* -2 (/ b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c b_2)) (.f64 #s(literal -2 binary64) b_2)) a)
(/ b_2 a)
(/.f64 b_2 a)
(* -1/2 (/ (* (pow a 2) c) b_2))
(.f64 (.f64 (/.f64 (*.f64 a a) b_2) #s(literal -1/2 binary64)) c)
(* (pow a 2) (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(.f64 (.f64 a a) (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))))
(* (pow a 2) (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(.f64 (.f64 a a) (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))))
(* (pow a 2) (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(.f64 (.f64 a a) (fma.f64 (fma.f64 (fma.f64 (.f64 a (/.f64 (/.f64 (.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 5/64 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) b_2)) #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (.f64 (.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))))
(* a b_2)
(*.f64 a b_2)
(* a (+ b_2 (* -1/2 (/ (* a c) b_2))))
(.f64 (fma.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c b_2) a)
(* a (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))))
(.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a b_2) a)
(* 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)))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a b_2) a)
(* (pow 1 1/4) (sqrt b_2))
(sqrt.f64 b_2)
(+ (* -1/4 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b_2 3)))))) (* (pow 1 1/4) (sqrt b_2)))
(fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 c a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b_2 #s(literal 3 binary64)))) (sqrt.f64 b_2))
(+ (* a (+ (* -1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b_2 3))) c))) (* (pow 1 1/4) (* (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (* 1/32 (/ (pow c 2) (pow b_2 4))))) (sqrt b_2))))) (* (pow 1 1/4) (sqrt b_2)))
(fma.f64 (fma.f64 (.f64 (/.f64 (.f64 (.f64 c c) #s(literal -3/32 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) a) (sqrt.f64 b_2) (.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b_2 #s(literal 3 binary64)))) c) #s(literal -1/4 binary64))) a (sqrt.f64 b_2))
(+ (* a (+ (* -1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b_2 3))) c))) (* a (+ (* (pow 1 1/4) (* (sqrt b_2) (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (* 1/32 (/ (pow c 2) (pow b_2 4)))))) (* (pow 1 1/4) (* (* a (+ (* -1/12 (/ (pow c 3) (pow b_2 6))) (+ (* -1/384 (/ (pow c 3) (pow b_2 6))) (* 1/32 (/ (pow c 3) (pow b_2 6)))))) (sqrt b_2))))))) (* (pow 1 1/4) (sqrt b_2)))
(fma.f64 (fma.f64 (.f64 (sqrt.f64 b_2) (fma.f64 (/.f64 (.f64 c c) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -3/32 binary64) (.f64 (.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -7/128 binary64)) a))) a (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b_2 #s(literal 3 binary64)))) c) #s(literal -1/4 binary64))) a (sqrt.f64 b_2))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b_2) a))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(fma.f64 (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b_2) a)))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(fma.f64 (.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b_2) a))))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b_2) a)) a)
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(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (neg.f64 b_2)) (neg.f64 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)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)))) (neg.f64 c)) #s(literal -1 binary64) b_2) c)) (neg.f64 c))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 c))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 c))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) #s(literal 1/16 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 c))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(.f64 (-.f64 a (/.f64 (.f64 b_2 b_2) c)) (neg.f64 c))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) c) (/.f64 b_2 a) (/.f64 #s(literal -1/2 binary64) b_2)) (neg.f64 c))
(* -1 (* c (+ (* (sqrt (/ (pow a 3) c)) (sqrt -1)) (/ (* a b_2) c))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -1 binary64)) (.f64 a (/.f64 b_2 c))) (neg.f64 c))
(* -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)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (*.f64 (neg.f64 a) b_2)) (neg.f64 c))) (neg.f64 c))
(* -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)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 c a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))) (neg.f64 c)) (*.f64 a b_2)) (neg.f64 c))) (neg.f64 c))
(* -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 (.f64 (.f64 (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64)))) (.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -1 binary64)))) (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))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64)))) (.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 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)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 7 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) #s(literal 1/16 binary64) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 3 binary64)))) (.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 c))
(exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) c))))
(+ (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (* -1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))) (* a c))))
(fma.f64 (/.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) c)))) (.f64 b_2 b_2)) (*.f64 c a)) #s(literal -1/4 binary64) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) c)))))
(+ (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (+ (* -1/8 (/ (pow b_2 4) (pow a 2))) (* 1/32 (/ (pow b_2 4) (pow a 2))))) c)) (* 1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))) a))) c)))
(-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) c)))) (/.f64 (fma.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) c))))) (/.f64 (/.f64 (.f64 (pow.f64 b_2 #s(literal 4 binary64)) #s(literal -3/32 binary64)) (.f64 a a)) c) (.f64 (/.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) c)))) (*.f64 b_2 b_2)) a) #s(literal 1/4 binary64))) c))
(+ (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (+ (* -1/32 (/ (pow b_2 6) (pow a 3))) (+ (* 1/384 (/ (pow b_2 6) (pow a 3))) (* 1/12 (/ (pow b_2 6) (pow a 3)))))) c)) (* (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c)))))) (+ (* -1/8 (/ (pow b_2 4) (pow a 2))) (* 1/32 (/ (pow b_2 4) (pow a 2)))))) c)) (* 1/4 (/ (* (pow b_2 2) (exp (* 1/4 (+ (log (neg (* -1 a))) (* -1 (log (/ -1 c))))))) a))) c)))
(-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) c)))) (/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) c)))) (.f64 b_2 b_2)) a) #s(literal 1/4 binary64)) (/.f64 (fma.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) c))))) (/.f64 (.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 7/128 binary64)) c) (.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 a) (log.f64 (/.f64 #s(literal -1 binary64) c)))) (/.f64 (.f64 (pow.f64 b_2 #s(literal 4 binary64)) #s(literal -3/32 binary64)) (*.f64 a a)))) c)) c))
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))
(.f64 (-.f64 a (/.f64 (.f64 b_2 b_2) c)) (neg.f64 c))

rewrite276.0ms (3.6%)

Memory

-29.3MiB live, 215.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	375
0	70	349
1	265	341
2	2186	333
0	8703	329

Stop Event

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

Counts

21 → 773

Calls

Call 1

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

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

eval194.0ms (2.5%)

Memory: 44.5MiB live, 224.4MiB allocated
Compiler: Compiled 43 011 to 4 228 computations (90.2% saved)

prune85.0ms (1.1%)

Memory

-15.2MiB live, 115.3MiB allocated

Pruning

24 alts after pruning (17 fresh and 7 done)

	Pruned	Kept	Total
New	1 004	7	1 011
Fresh	2	10	12
Picked	3	2	5
Done	1	5	6
Total	1 010	24	1 034

Accuracy

94.5%

Counts

1 034 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	28.9%	(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) (neg.f64 b_2)) a)
	12.1%	(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) #s(approx (sqrt (sqrt (- ( b_2 b_2) (* a c)))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 a) (log.f64 (neg.f64 c))))) (neg.f64 b_2)) a)
	19.3%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 b_2 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))))) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))) a)
	29.8%	(/.f64 (/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (.f64 c a)) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) a)
	49.1%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (fma.f64 b_2 b_2 (*.f64 (neg.f64 a) c)))) b_2) a)
✓	29.1%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) a)
	27.7%	(/.f64 (-.f64 (exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) b_2) a)
	23.4%	(/.f64 (-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (.f64 b_2 b_2)) (.f64 a (+.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2)))
	13.8%	(/.f64 (-.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (.f64 a (/.f64 c b_2)) #s(literal 1 binary64)) b_2)) b_2) a)
	17.3%	(/.f64 (.f64 a (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) b_2)) (.f64 a a))
	22.8%	(/.f64 #s(approx (- (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a b_2)) (.f64 (.f64 #s(literal 2 binary64) a) (neg.f64 b_2))) (*.f64 a a))
✓	37.0%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
	29.0%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2)))
	36.8%	(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
	17.4%	(exp.f64 (.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64)))
	39.5%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
✓	39.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
	36.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 b_2) #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))))
✓	40.0%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2) (/.f64 c b_2) #s(literal -1/2 binary64)) b_2)) c))
	39.2%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/.f64 (fma.f64 a (.f64 #s(literal 1/8 binary64) (/.f64 c (.f64 b_2 b_2))) #s(literal 1/2 binary64)) (neg.f64 b_2))) c))
✓	39.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2)) c))
✓	36.9%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))))
	13.6%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))
	6.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))))))

Compiler

Compiled 1 953 to 684 computations (65% saved)

regimes152.0ms (2%)

Memory

-29.0MiB live, 54.1MiB allocated

Counts

42 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 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 #s(approx (+ ( (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2)) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 b_2) #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
(/.f64 #s(approx (- (* (sqrt (- (* b_2 b_2) (* a c))) a) (* a b_2)) (.f64 (.f64 #s(literal 2 binary64) a) (neg.f64 b_2))) (*.f64 a a))
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (fma.f64 b_2 b_2 (*.f64 (neg.f64 a) c)))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 b_2) (fma.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
(/.f64 (.f64 a (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) b_2)) (.f64 a a))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 (fma.f64 (/.f64 (/.f64 b_2 a) c) #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) b_2)) c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/.f64 (fma.f64 a (.f64 #s(literal 1/8 binary64) (/.f64 c (.f64 b_2 b_2))) #s(literal 1/2 binary64)) (neg.f64 b_2))) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
(/.f64 (-.f64 (.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) a) (.f64 a b_2)) (*.f64 a a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) a) b_2) (/.f64 c b_2) #s(literal -1/2 binary64)) b_2)) c))
(/.f64 (/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (.f64 c a)) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) a)
(/.f64 (-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (.f64 b_2 b_2)) (.f64 a (+.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2)))
(/.f64 (-.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (.f64 a (/.f64 c b_2)) #s(literal 1 binary64)) b_2)) b_2) a)
(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))))
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b_2) (.f64 a (/.f64 c b_2)) #s(literal 1 binary64)) b_2))) a)
(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) a)
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (sqrt.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) (neg.f64 b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (fma.f64 (.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) c))
(/.f64 (/.f64 (-.f64 (.f64 (.f64 b_2 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))))) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64)))
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
(/.f64 (-.f64 (exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 4 binary64))) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64))))) a)
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) #s(approx (sqrt (sqrt (- ( b_2 b_2) (* a c)))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 a) (log.f64 (neg.f64 c))))) (neg.f64 b_2)) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a)) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 12 binary64)))) (fma.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a)) (-.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a)) (pow.f64 b_2 #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 8 binary64)))))) a)

Outputs

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

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

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

Calls

4 calls:

109.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
11.0ms	c
11.0ms	a
11.0ms	b_2

Results

Accuracy	Segments	Branch
49.1%	1	`a`
90.8%	3	`b_2`
55.5%	4	`c`
75.8%	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes5.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

b_2

Results

Accuracy	Segments	Branch
85.1%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes4.0ms (0.1%)

Memory

8.3MiB live, 8.3MiB allocated

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

b_2

Results

Accuracy	Segments	Branch
84.9%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes4.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

b_2

Results

Accuracy	Segments	Branch
74.4%	2	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes11.0ms (0.1%)

Memory

-15.8MiB live, 20.3MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
2.0ms	a
2.0ms	c
2.0ms	b_2

Results

Accuracy	Segments	Branch
39.8%	1	`a`
39.8%	1	`c`
39.8%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
39.8%	1	`b_2`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes7.0ms (0.1%)

Memory

23.3MiB live, 23.3MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
39.7%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
39.7%	1	`c`
39.7%	1	`a`
39.7%	1	`b_2`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes7.0ms (0.1%)

Memory

-19.4MiB live, 17.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
13.6%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
13.6%	1	`c`
13.6%	1	`a`
13.6%	1	`b_2`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch36.0ms (0.5%)

Memory

26.0MiB live, 62.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	7.288437021392755e-53	2.665463013643621e-52
20.0ms	-4.713558862221184e+97	-6.8689253866074735e+90

Samples

12.0ms	187×	0	valid
3.0ms	17×	2	valid
2.0ms	20×	1	valid
1.0ms	18×	0	invalid

Compiler

Compiled 742 to 530 computations (28.6% saved)

Precisions

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

ival-mult: 3.0ms (24.2% of total)

ival-div: 2.0ms (16.1% of total)

ival-sqrt: 2.0ms (16.1% of total)

adjust: 1.0ms (8.1% of total)

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

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

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

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

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

bsearch43.0ms (0.6%)

Memory

-61.1MiB live, 12.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	7.288437021392755e-53	2.665463013643621e-52
37.0ms	-1.2929822895104975e-99	-1.5367923534590184e-102

Samples

28.0ms	139×	0	valid
4.0ms	55×	0	invalid
1.0ms	3×	2	valid
0.0ms	2×	1	valid

Compiler

Compiled 644 to 476 computations (26.1% saved)

Precisions

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

ival-mult: 3.0ms (35.8% of total)

ival-div: 1.0ms (11.9% of total)

ival-add: 1.0ms (11.9% of total)

ival-sqrt: 1.0ms (11.9% of total)

ival-sub: 1.0ms (11.9% of total)

ival-neg: 1.0ms (11.9% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch15.0ms (0.2%)

Memory

18.1MiB live, 18.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.288437021392755e-53	2.665463013643621e-52
13.0ms	-8.500220457951503e-99	-1.2929822895104975e-99

Samples

6.0ms	96×	0	valid
2.0ms	29×	0	invalid

Compiler

Compiled 400 to 318 computations (20.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (39.3% of total)

ival-sub: 1.0ms (19.7% of total)

ival-div: 1.0ms (19.7% of total)

ival-add: 1.0ms (19.7% of total)

ival-sqrt: 1.0ms (19.7% of total)

ival-neg: 1.0ms (19.7% of total)

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

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

bsearch39.0ms (0.5%)

Memory

-9.8MiB live, 63.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
33.0ms	-3.529721260475345e-301	3.7555287105244564e-298

Samples

13.0ms	123×	0	invalid
11.0ms	160×	0	valid

Compiler

Compiled 376 to 306 computations (18.6% saved)

Precisions

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

ival-add: 7.0ms (41.9% of total)

ival-mult: 4.0ms (24% of total)

ival-div: 2.0ms (12% of total)

ival-sqrt: 2.0ms (12% of total)

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

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

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

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

simplify97.0ms (1.3%)

Memory

-0.2MiB live, 82.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	74	356
1	115	345
2	221	345
3	528	345
4	1072	345
5	2392	339
6	4819	339

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -40000000000000002943034953908449993590304248608709827196983431605407036575208760808202718624612352 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))) (if (<=.f64 b_2 #s(literal 4421431253412705/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (fma.f64 b_2 b_2 (.f64 (neg.f64 a) c)))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -5043456793138493/630432099142311667396464641602297820881275828327447146687172694467931548343955369782628260078158650252906047844909056 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))) (if (<=.f64 b_2 #s(literal 4097911893406897/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -3817069350275715/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 4097911893406897/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2)) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))

Outputs
(if (<=.f64 b_2 #s(literal -40000000000000002943034953908449993590304248608709827196983431605407036575208760808202718624612352 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))) (if (<=.f64 b_2 #s(literal 4421431253412705/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (fma.f64 b_2 b_2 (.f64 (neg.f64 a) c)))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -5043456793138493/630432099142311667396464641602297820881275828327447146687172694467931548343955369782628260078158650252906047844909056 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))) (if (<=.f64 b_2 #s(literal 4097911893406897/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -3817069350275715/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 4097911893406897/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (* c -1/8) (/ a (pow b_2 3))) (/ -1/2 b_2)) (/.f64 #s(literal -1/2 binary64) b_2)) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))

soundness953.0ms (12.5%)

Memory

6.7MiB live, 525.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	277
0	75	277
1	277	269
2	2025	269
0	8345	269
0	508	2832
1	1606	2798
2	5550	2747
0	8048	2611
0	949	5140
1	3113	4830
0	8884	4623
0	47	375
0	70	349
1	265	341
2	2186	333
0	8703	329
0	1417	13152
1	4933	12556
0	8323	12055

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

Compiler

Compiled 611 to 268 computations (56.1% saved)

preprocess100.0ms (1.3%)

Memory: 26.3MiB live, 139.9MiB allocated
Compiler: Compiled 916 to 222 computations (75.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	50
0	17	50
1	28	48
2	45	48
3	74	48
4	113	48
5	189	48
6	322	48
7	475	48
8	828	48
9	942	48
10	974	48
11	985	48
12	986	48
0	986	48

Iter	Nodes	Cost
0	10	50
0	17	50
1	28	48
2	45	48
3	74	48
4	113	48
5	189	48
6	322	48
7	475	48
8	828	48
9	942	48
10	974	48
11	985	48
12	986	48
0	986	48

start0.0ms (0%)

analyze123.0ms (1.6%)

sample1.7s (21.9%)

explain179.0ms (2.4%)

preprocess123.0ms (1.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify26.0ms (0.3%)

localize45.0ms (0.6%)

series19.0ms (0.3%)

simplify249.0ms (3.3%)

rewrite156.0ms (2%)

eval103.0ms (1.3%)

prune39.0ms (0.5%)

simplify155.0ms (2%)

localize150.0ms (2%)

series319.0ms (4.2%)

simplify249.0ms (3.3%)

rewrite175.0ms (2.3%)

eval130.0ms (1.7%)

prune27.0ms (0.3%)

simplify124.0ms (1.6%)

localize206.0ms (2.7%)

series59.0ms (0.8%)

simplify286.0ms (3.7%)

rewrite207.0ms (2.7%)

eval96.0ms (1.3%)

prune34.0ms (0.4%)

simplify165.0ms (2.2%)

localize213.0ms (2.8%)

series75.0ms (1%)

simplify196.0ms (2.6%)

rewrite276.0ms (3.6%)

eval194.0ms (2.5%)

prune85.0ms (1.1%)

regimes152.0ms (2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes11.0ms (0.1%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch36.0ms (0.5%)

bsearch43.0ms (0.6%)

bsearch15.0ms (0.2%)

bsearch39.0ms (0.5%)

simplify97.0ms (1.3%)

soundness953.0ms (12.5%)

preprocess100.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	50
0	17	50
1	28	48
2	45	48
3	74	48
4	113	48
5	189	48
6	322	48
7	475	48
8	828	48
9	942	48
10	974	48
11	985	48
12	986	48
0	986	48