Metrics for quad2p (problem 3.2.1, positive)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze156.0ms (2%)

Memory

-6.8MiB live, 113.0MiB 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)

sample1.8s (23%)

Memory

18.5MiB live, 1 266.0MiB allocated

Samples

457.0ms	5 562×	0	valid
317.0ms	1 227×	2	valid
158.0ms	1 280×	1	valid
113.0ms	1 164×	0	invalid
50.0ms	187×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 736.0ms

ival-sqrt: 165.0ms (22.4% of total)

ival-mult: 162.0ms (22% of total)

ival-div: 140.0ms (19% of total)

adjust: 71.0ms (9.7% of total)

ival-sub: 70.0ms (9.5% of total)

ival-add: 65.0ms (8.8% of total)

ival-neg: 52.0ms (7.1% of total)

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

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

Bogosity

explain161.0ms (2.1%)

Memory

8.6MiB live, 246.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
108	-	2	(1.5810900870228755e-82 -1.3715994488425705e-291 -1.7001178281571528e-234)	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
48	-	0	-	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
18	-	1	(2.646668456183888e-175 2.879819701426926e-107 -3.3554096063049956e-248)	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
3	-	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	84
↳	`(*.f64 a c)`	overflow	22
↳	`(-.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	48	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`	u/n	17	0
↳	`(*.f64 b_2 b_2)`	underflow	52
↳	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	underflow	27
↳	`(*.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	52
↳	`(*.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	3	0
↳	`(*.f64 b_2 b_2)`	overflow	84
↳	`(*.f64 a c)`	overflow	22

Confusion

	Predicted +	Predicted -
+	116	2
-	26	112

Precision

0.8169014084507042

Recall

0.9830508474576272

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	116	0	2
-	26	0	112

Precision?

0.8169014084507042

Recall?

0.9830508474576272

Freqs

test

number	freq
0	114
1	110
2	32

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

36.0ms	364×	0	valid
17.0ms	70×	2	valid
10.0ms	64×	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: 43.0ms

ival-mult: 10.0ms (23.4% of total)

ival-sub: 8.0ms (18.7% of total)

ival-sqrt: 7.0ms (16.4% of total)

ival-div: 6.0ms (14% of total)

adjust: 5.0ms (11.7% of total)

ival-add: 4.0ms (9.4% of total)

ival-neg: 3.0ms (7% of total)

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

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

preprocess166.0ms (2.1%)

Memory

-14.4MiB live, 67.2MiB 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

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify25.0ms (0.3%)

Memory

11.7MiB live, 11.7MiB 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

localize69.0ms (0.9%)

Memory

-32.0MiB live, 41.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.6015625000000001	(-.f64 (.f64 b_2 b_2) (.f64 a c))
accuracy	3.781833367402006	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
accuracy	11.149042284327853	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
accuracy	24.931708731555815	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Samples

30.0ms	32×	1	valid
17.0ms	182×	0	valid
7.0ms	35×	2	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: 45.0ms

adjust: 27.0ms (60% of total)

ival-neg: 5.0ms (11.1% of total)

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

ival-div: 3.0ms (6.7% of total)

ival-sqrt: 3.0ms (6.7% of total)

ival-sub: 2.0ms (4.4% of total)

ival-add: 2.0ms (4.4% of total)

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

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

series18.0ms (0.2%)

Memory

21.6MiB live, 21.6MiB 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
3.0ms	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)))

simplify191.0ms (2.5%)

Memory

25.1MiB live, 136.2MiB 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)

rewrite145.0ms (1.9%)

Memory

-22.1MiB live, 181.5MiB 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))))
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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)
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(*.f64 b_2 #s(literal -1 binary64))
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(pow.f64 (/.f64 b_2 (*.f64 b_2 b_2)) #s(literal -1 binary64))
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(/.f64 (*.f64 b_2 b_2) b_2)
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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)
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b_2
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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))))

eval64.0ms (0.8%)

Memory: 20.3MiB live, 100.1MiB allocated
Compiler: Compiled 15 289 to 2 194 computations (85.6% saved)

prune19.0ms (0.2%)

Memory

-29.7MiB live, 45.5MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	530	13	543
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	531	13	544

Accuracy

92.7%

Counts

544 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.5%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 (neg.f64 a) c)))) a)
	29.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (.f64 b_2 b_2))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.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))))))) a)
	15.9%	(/.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)
	11.8%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (.f64 (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 2 binary64))))) a)
▶	10.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal -1 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a)) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 8 binary64)))))) a)
▶	26.4%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64))))) a)
	17.7%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))))) a)
	53.2%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (-.f64 (.f64 b_2 (/.f64 b_2 c)) a) c)))) a)
	34.7%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
▶	23.0%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
	38.2%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
	31.1%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
▶	38.2%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))

Compiler

Compiled 702 to 416 computations (40.7% saved)

simplify199.0ms (2.6%)

Memory

3.8MiB live, 160.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal -1 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a)) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 8 binary64)))))) a)
cost-diff	128	(+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal -1 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a)) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 8 binary64))))))
cost-diff	6080	(.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64))))) a)
cost-diff	128	(+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))))
cost-diff	7040	(/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))
cost-diff	0	(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
cost-diff	0	(.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
cost-diff	0	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))
cost-diff	0	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
cost-diff	0	(/.f64 b_2 a)
cost-diff	0	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
cost-diff	0	(sqrt.f64 (fma.f64 b_2 b_2 (*.f64 (neg.f64 a) c)))
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 (neg.f64 a) c)))) a)
cost-diff	128	(+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 (neg.f64 a) c))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	470
0	85	470
1	123	453
2	222	439
3	559	439
4	1934	439
5	5030	439
6	5946	439
7	7970	439
0	8179	439

Stop Event

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

Calls

Call 1

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

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

localize146.0ms (1.9%)

Memory

25.1MiB live, 152.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	2.4999793583020584	(-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (*.f64 c a) #s(literal 6 binary64)))
accuracy	4.321582411408589	(.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))
accuracy	4.487267524262336	(sqrt.f64 (/.f64 (.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal -1 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a)) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 8 binary64)))))
accuracy	15.648952354021874	(/.f64 (.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal -1 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a)) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 8 binary64))))
accuracy	0.0625	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64))))) a)
accuracy	0.2261902834259144	(/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))
accuracy	0.40756754035913784	(pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64))
accuracy	4.483361274262336	(sqrt.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64))))
accuracy	0.0	(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
accuracy	0.0703125	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
accuracy	2.1307712084167805	(.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
accuracy	21.328717494774292	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))
accuracy	0.0	(/.f64 b_2 a)
accuracy	0.0078125	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
accuracy	21.108706890513293	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
accuracy	0.0	(neg.f64 a)
accuracy	0.0078125	(+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 (neg.f64 a) c))))
accuracy	0.0703125	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 (neg.f64 a) c)))) a)
accuracy	4.487267524262336	(sqrt.f64 (fma.f64 b_2 b_2 (*.f64 (neg.f64 a) c)))

Samples

81.0ms	168×	0	invalid
32.0ms	88×	0	valid

Compiler

Compiled 944 to 101 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-pow: 15.0ms (20.9% of total)

ival-div: 14.0ms (19.5% of total)

ival-add: 14.0ms (19.5% of total)

ival-mult: 13.0ms (18.1% of total)

ival-sqrt: 6.0ms (8.4% of total)

ival-sub: 2.0ms (2.8% of total)

ival-pow2: 2.0ms (2.8% of total)

ival-neg: 2.0ms (2.8% of total)

exact: 1.0ms (1.4% of total)

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

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

series113.0ms (1.5%)

Memory

-9.2MiB live, 139.2MiB allocated

Counts

23 → 329

Calls

Call 1

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

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))))))))
(* -2 (/ b_2 a))
(/ b_2 a)
(* -1/2 (/ a b_2))
(* -1 (pow b_2 2))
(+ (* -1 (* a c)) (* -1 (pow b_2 2)))
(- (* b_2 (sqrt -1)) b_2)
(- (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) b_2)
(- (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) b_2)
(- (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) b_2)
(/ (- (* b_2 (sqrt -1)) b_2) a)
(/ (- (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) b_2) a)
(/ (- (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) b_2) a)
(/ (- (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) b_2) a)
(pow b_2 10)
(+ (* -1 (* a (* (pow b_2 8) c))) (pow b_2 10))
(+ (* a (- (* a (* (pow b_2 6) (pow c 2))) (* (pow b_2 8) c))) (pow b_2 10))
(+ (* a (- (* a (- (* -1 (* a (* (pow b_2 4) (pow c 3)))) (* -1 (* (pow b_2 6) (pow c 2))))) (* (pow b_2 8) c))) (pow b_2 10))
(* a (+ (* -1/2 (/ c b_2)) (* -1/2 (/ (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) b_2))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow c 3) (pow b_2 4))) (+ (* 1/2 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 2))) (+ (* 2 (/ (pow c 3) (pow b_2 4))) (/ (pow c 3) (pow b_2 4))))))) b_2)) (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* a (+ (* -1/2 (/ (* a (+ (* -1 (/ (* c (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow c 3) (pow b_2 4))) (+ (* 2 (/ (pow c 3) (pow b_2 4))) (/ (pow c 3) (pow b_2 4)))))) (pow b_2 2))) (+ (* -1 (/ (* c (+ (* 2 (* (pow b_2 4) (pow c 3))) (* (pow b_2 4) (pow c 3)))) (pow b_2 10))) (+ (* -1 (/ (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) (pow b_2 4))) (+ (* 1/4 (/ (pow (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) 2) (pow b_2 2))) (+ (* 1/2 (/ (* c (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow c 3) (pow b_2 4))) (+ (* 1/2 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 2))) (+ (* 2 (/ (pow c 3) (pow b_2 4))) (/ (pow c 3) (pow b_2 4))))))) (pow b_2 2))) (+ (* 2 (/ (pow c 4) (pow b_2 6))) (/ (pow c 4) (pow b_2 6))))))))) b_2)) (* -1/2 (/ (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow c 3) (pow b_2 4))) (+ (* 1/2 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 2))) (+ (* 2 (/ (pow c 3) (pow b_2 4))) (/ (pow c 3) (pow b_2 4)))))) b_2))))))))
(+ (* -1/2 (/ c b_2)) (* -1/2 (/ (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) b_2)))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow c 3) (pow b_2 4))) (+ (* 1/2 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 2))) (+ (* 2 (/ (pow c 3) (pow b_2 4))) (/ (pow c 3) (pow b_2 4))))))) b_2)) (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* a (+ (* -1/2 (/ (* a (+ (* -1 (/ (* c (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow c 3) (pow b_2 4))) (+ (* 2 (/ (pow c 3) (pow b_2 4))) (/ (pow c 3) (pow b_2 4)))))) (pow b_2 2))) (+ (* -1 (/ (* c (+ (* 2 (* (pow b_2 4) (pow c 3))) (* (pow b_2 4) (pow c 3)))) (pow b_2 10))) (+ (* -1 (/ (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) (pow b_2 4))) (+ (* 1/4 (/ (pow (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) 2) (pow b_2 2))) (+ (* 1/2 (/ (* c (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow c 3) (pow b_2 4))) (+ (* 1/2 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 2))) (+ (* 2 (/ (pow c 3) (pow b_2 4))) (/ (pow c 3) (pow b_2 4))))))) (pow b_2 2))) (+ (* 2 (/ (pow c 4) (pow b_2 6))) (/ (pow c 4) (pow b_2 6))))))))) b_2)) (* -1/2 (/ (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow c 3) (pow b_2 4))) (+ (* 1/2 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 2))) (+ (* 2 (/ (pow c 3) (pow b_2 4))) (/ (pow c 3) (pow b_2 4)))))) b_2)))))))
(* -1 a)
(* b_2 (sqrt -1))
(+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1)))
(+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1)))
(/ 1 (pow b_2 2))
(+ (* -1 (/ (* a c) (pow b_2 4))) (/ 1 (pow b_2 2)))
(+ (* a (- (/ (* a (pow c 2)) (pow b_2 6)) (/ c (pow b_2 4)))) (/ 1 (pow b_2 2)))
(+ (* a (- (* a (- (* -1 (/ (* a (pow c 3)) (pow b_2 8))) (* -1 (/ (pow c 2) (pow b_2 6))))) (/ c (pow b_2 4)))) (/ 1 (pow b_2 2)))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) c)) (pow b_2 2))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow c 3) (pow b_2 4))) (+ (* 2 (/ (pow c 3) (pow b_2 4))) (/ (pow c 3) (pow b_2 4))))))) (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) c)) (pow b_2 2))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/2 (/ (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) b_2)))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow c 3) (pow b_2 4))) (+ (* 1/2 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 2))) (+ (* 2 (/ (pow c 3) (pow b_2 4))) (/ (pow c 3) (pow b_2 4))))))) b_2)) (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)))))))
(pow b_2 12)
(+ (* -1 (* (pow a 6) (pow c 6))) (pow b_2 12))
(* (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)))))
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(* -1 (* a c))
(* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (pow a 5) (pow c 5)))
(* (pow a 5) (+ (* -1 (pow c 5)) (/ (* (pow b_2 2) (pow c 4)) a)))
(* (pow a 5) (- (+ (* -1 (/ (* (pow b_2 4) (pow c 3)) (pow a 2))) (* -1 (pow c 5))) (* -1 (/ (* (pow b_2 2) (pow c 4)) a))))
(* (pow a 5) (- (+ (* -1 (pow c 5)) (/ (* (pow b_2 6) (pow c 2)) (pow a 3))) (+ (* -1 (/ (* (pow b_2 2) (pow c 4)) a)) (/ (* (pow b_2 4) (pow c 3)) (pow a 2)))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 9)))) (/ (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
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(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 9)))) (/ (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
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(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(/ 1 (* a c))
(/ (+ (* -1 (/ (pow b_2 2) (* a (pow c 2)))) (/ 1 c)) a)
(/ (- (+ (/ 1 c) (/ (pow b_2 4) (* (pow a 2) (pow c 3)))) (/ (pow b_2 2) (* a (pow c 2)))) a)
(/ (- (+ (* -1 (/ (pow b_2 6) (* (pow a 3) (pow c 4)))) (/ 1 c)) (+ (* -1 (/ (pow b_2 4) (* (pow a 2) (pow c 3)))) (/ (pow b_2 2) (* a (pow c 2))))) a)
(* a (+ (* -1 c) (+ (* 2 (/ (pow b_2 2) a)) (/ (pow b_2 2) a))))
(* a (- (+ (* -1 c) (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (pow b_2 4) (pow c 3))) (* (pow b_2 4) (pow c 3))) (pow c 4))) (/ (pow (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) 2) (pow c 9))) (pow a 2)))) (* -1 (/ (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) (* a (pow c 4))))))
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(* -1 (* (pow a 6) (pow c 6)))
(* (pow a 6) (- (/ (pow b_2 12) (pow a 6)) (pow c 6)))
(* -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 (+ c (/ (pow b_2 2) a))))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))
(* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 3)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1 (* (pow a 5) (+ (* -1 (/ (* (pow b_2 2) (pow c 4)) a)) (pow c 5))))
(* -1 (* (pow a 5) (+ (* -1 (/ (- (* -1 (/ (* (pow b_2 4) (pow c 3)) a)) (* -1 (* (pow b_2 2) (pow c 4)))) a)) (pow c 5))))
(* -1 (* (pow a 5) (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow b_2 6) (pow c 2)) a)) (* -1 (* (pow b_2 4) (pow c 3)))) a)) (* -1 (* (pow b_2 2) (pow c 4)))) a)) (pow c 5))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 9)))) (* (sqrt -1) (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4)))))) 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) (pow c 3))) (* -1 (* (pow b_2 4) (pow c 3)))) (pow c 4))) (* -1 (/ (pow (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) 2) (pow c 9))))))) (* 1/2 (* (sqrt (/ a (pow c 9))) (* (sqrt -1) (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))))))) 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 9)))) (* (sqrt -1) (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))))))) 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) (pow c 3))) (* -1 (* (pow b_2 4) (pow c 3)))) (pow c 4))) (* -1 (/ (pow (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) 2) (pow c 9))))))) (* -1/2 (* (sqrt (/ a (pow c 9))) (* (sqrt -1) (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))))))) a))) a)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))))
(* -1 (/ (- (/ (pow b_2 2) (* a (pow c 2))) (/ 1 c)) a))
(* -1 (/ (- (* -1 (/ (- (/ (pow b_2 4) (* a (pow c 3))) (/ (pow b_2 2) (pow c 2))) a)) (/ 1 c)) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* a (pow c 4))) (/ (pow b_2 4) (pow c 3))) a)) (/ (pow b_2 2) (pow c 2))) a)) (/ 1 c)) a))
(* -1 (* a (+ c (* -1 (/ (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) (* a (pow c 4)))))))
(* -1 (* a (+ c (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (* (pow b_2 4) (pow c 3))) (* -1 (* (pow b_2 4) (pow c 3)))) (* a (pow c 4)))) (* -1 (/ (pow (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) 2) (* a (pow c 9))))) (* -1 (/ (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) (pow c 4)))) a)))))
(* -1 (* a (+ c (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (pow b_2 4) (pow c 3))) (* -1 (* (pow b_2 4) (pow c 3)))) (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4)))) (* a (pow c 9)))) (+ (* -1 (/ (pow b_2 6) (* a (pow c 2)))) (/ (* (+ (* -1 (/ (+ (* -2 (* (pow b_2 4) (pow c 3))) (* -1 (* (pow b_2 4) (pow c 3)))) (pow c 4))) (* -1 (/ (pow (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) 2) (pow c 9)))) (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4)))) (* a (pow c 5))))) (+ (* -1 (/ (+ (* -2 (* (pow b_2 4) (pow c 3))) (* -1 (* (pow b_2 4) (pow c 3)))) (pow c 4))) (* -1 (/ (pow (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) 2) (pow c 9))))) a)) (* -1 (/ (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) (pow c 4)))) a)))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 9)))) (* (sqrt -1) (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4)))))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 9)))) (* (sqrt -1) (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4)))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (+ (* -1 (/ (+ (* -2 (* (pow b_2 4) (pow c 3))) (* -1 (* (pow b_2 4) (pow c 3)))) (pow c 4))) (* -1 (/ (pow (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) 2) (pow c 9))))))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (/ (+ (* -2 (* (pow b_2 4) (pow c 3))) (* -1 (* (pow b_2 4) (pow c 3)))) (pow c 4))) (* -1 (/ (pow (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) 2) (pow c 9))))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (/ (* (+ (* -2 (* (pow b_2 4) (pow c 3))) (* -1 (* (pow b_2 4) (pow c 3)))) (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4)))) (pow c 9))) (+ (* -1 (/ (pow b_2 6) (pow c 2))) (+ (* -1/4 (/ (* a (pow (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) 2)) (pow c 9))) (/ (* (+ (* -1 (/ (+ (* -2 (* (pow b_2 4) (pow c 3))) (* -1 (* (pow b_2 4) (pow c 3)))) (pow c 4))) (* -1 (/ (pow (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) 2) (pow c 9)))) (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4)))) (pow c 5))))))))) (pow a 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 9)))) (* (sqrt -1) (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4)))))) (* (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)))
(+ (* 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)))))))))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (pow a 5) (pow c 5))) (* (pow a 4) (* (pow b_2 2) (pow c 4))))
(+ (* -1 (* (pow a 5) (pow c 5))) (* (pow b_2 2) (- (* -1 (* (pow a 3) (* (pow b_2 2) (pow c 3)))) (* -1 (* (pow a 4) (pow c 4))))))
(+ (* -1 (* (pow a 5) (pow c 5))) (* (pow b_2 2) (- (* (pow b_2 2) (- (* (pow a 2) (* (pow b_2 2) (pow c 2))) (* (pow a 3) (pow c 3)))) (* -1 (* (pow a 4) (pow c 4))))))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 9) (pow c 9)))) (/ (* b_2 (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4)))) (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b_2 2) (+ (* -1 (/ (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))) (* (pow a 4) (pow c 4)))) (+ (* 1/4 (/ (pow (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) 2) (* (pow a 9) (* (pow c 9) (pow (sqrt -1) 2))))) (/ (pow (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) 2) (* (pow a 9) (pow c 9)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 9) (pow c 9)))) (/ (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 11) (pow c 9)))) (/ (* b_2 (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4)))) (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 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))) (* (pow a 4) (pow c 4)))) (+ (* 1/4 (/ (pow (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) 2) (* (pow a 9) (* (pow c 9) (pow (sqrt -1) 2))))) (/ (pow (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) 2) (* (pow a 9) (pow c 9)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 11) (pow c 9)))) (/ (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (sqrt -1))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 2) (sqrt -1)))))))))
(+ (* -1 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (/ 1 (* a c)))
(+ (* (pow b_2 2) (- (/ (pow b_2 2) (* (pow a 3) (pow c 3))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))
(+ (* (pow b_2 2) (- (* (pow b_2 2) (+ (* -1 (/ (pow b_2 2) (* (pow a 4) (pow c 4)))) (/ 1 (* (pow a 3) (pow c 3))))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))
(+ (* -1 (* a c)) (/ (* (pow b_2 2) (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4)))) (* (pow a 4) (pow c 4))))
(+ (* -1 (* a c)) (* (pow b_2 2) (- (* -1 (* (pow b_2 2) (+ (* -1 (/ (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))) (* (pow a 4) (pow c 4)))) (/ (pow (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) 2) (* (pow a 9) (pow c 9)))))) (* -1 (/ (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4)))))))
(+ (* -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 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))) (* (pow a 4) (pow c 4)))) (/ (pow (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) 2) (* (pow a 9) (pow c 9)))) (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4)))) (* (pow a 5) (pow c 5)))) (/ (* (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))) (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4)))) (* (pow a 9) (pow c 9)))))) (+ (* -1 (/ (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))) (* (pow a 4) (pow c 4)))) (/ (pow (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) 2) (* (pow a 9) (pow c 9)))))) (* -1 (/ (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4)))))))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 9) (pow c 9)))) (/ (* (pow b_2 2) (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4)))) (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 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))) (* (pow a 4) (pow c 4)))) (+ (* 1/4 (/ (pow (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) 2) (* (pow a 9) (* (pow c 9) (pow (sqrt -1) 2))))) (/ (pow (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) 2) (* (pow a 9) (pow c 9)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 9) (pow c 9)))) (/ (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 9) (pow c 9)))) (/ (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) (sqrt -1)))) (* (pow b_2 2) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (/ (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))) (* (pow a 4) (pow c 4)))) (+ (* 1/4 (/ (pow (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) 2) (* (pow a 9) (* (pow c 9) (pow (sqrt -1) 2))))) (/ (pow (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) 2) (* (pow a 9) (pow c 9))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b_2 2) (- (/ 1 (* (pow a 2) (pow c 2))) (+ (* -1 (/ (* (+ (* -1 (/ (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))) (* (pow a 4) (pow c 4)))) (/ (pow (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) 2) (* (pow a 9) (pow c 9)))) (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4)))) (* (pow a 5) (pow c 5)))) (+ (* -1/2 (/ (* (+ (* -1 (/ (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))) (* (pow a 4) (pow c 4)))) (+ (* 1/4 (/ (pow (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) 2) (* (pow a 9) (* (pow c 9) (pow (sqrt -1) 2))))) (/ (pow (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) 2) (* (pow a 9) (pow c 9))))) (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4)))) (* (pow a 5) (* (pow c 5) (pow (sqrt -1) 2))))) (/ (* (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))) (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4)))) (* (pow a 9) (pow c 9))))))) (sqrt -1)))))))))
(- (pow b_2 12) (* (pow a 6) (pow c 6)))
(/ (+ (* -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 (/ (* a c) (pow b_2 2))) 1))
(* b_2 (- (sqrt -1) 1))
(* b_2 (- (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))) 1))
(* b_2 (- (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))) 1))
(* b_2 (- (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))) 1))
(/ (* b_2 (- (sqrt -1) 1)) a)
(* b_2 (- (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a)) (/ 1 a)))
(* b_2 (- (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a))) (/ 1 a)))
(* b_2 (- (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a)))) (/ 1 a)))
(* (pow b_2 10) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 10) (- (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2))))
(* (pow b_2 10) (- (+ 1 (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2)))))
(/ (+ (* -1/2 (* a c)) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (+ (* 1/2 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))))) (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3)))))) (pow b_2 4))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 2))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3)))))))) (+ (* -1 (* a (* c (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3)))))) (+ (* -1 (* (pow a 2) (* (pow c 2) (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* 1/4 (pow (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) 2)) (+ (* 1/2 (* a (* c (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (+ (* 1/2 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))))) (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))))))))) (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4)))))))) (pow b_2 6))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (+ (* 1/2 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))))) (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3)))))) (pow b_2 4))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 2)))))) b_2)
(/ (+ (* -1/2 c) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 2))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (+ (* 1/2 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))))) (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3)))))) (* a (pow b_2 4)))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 2)))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3)))))))) (+ (* -1 (* a (* c (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3)))))) (+ (* -1 (* (pow a 2) (* (pow c 2) (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* 1/4 (pow (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) 2)) (+ (* 1/2 (* a (* c (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (+ (* 1/2 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))))) (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))))))))) (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4)))))))) (* a (pow b_2 6)))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (+ (* 1/2 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))))) (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3)))))) (* a (pow b_2 4)))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 2))))))) b_2)
(* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(/ (+ 1 (* -1 (/ (* a c) (pow b_2 2)))) (pow b_2 2))
(/ (- (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2))) (pow b_2 2))
(/ (- (+ 1 (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2)))) (pow b_2 2))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b_2 4)))) (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (- (+ 1 (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))))) (pow b_2 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (/ (* a c) (pow b_2 2)) (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (+ (* 1/2 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))))) (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3)))))) (pow b_2 6))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4)))))))
(* (pow b_2 12) (+ 1 (* -1 (/ (* (pow a 6) (pow c 6)) (pow b_2 12)))))
(* -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 (+ (* -1/2 (/ 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))))))))
(* -1 (* b_2 (+ 1 (sqrt -1))))
(* -1 (* b_2 (+ 1 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* -1 (* b_2 (+ 1 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))
(* -1 (* b_2 (+ 1 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))))
(* -1 (/ (* b_2 (+ 1 (sqrt -1))) a))
(* -1 (* b_2 (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a)))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (+ (* 1/2 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))))) (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3)))))) (pow b_2 6))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 4)))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (+ (* 1/2 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))))) (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3)))))) (* a (pow b_2 6)))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 4)))) (* 2 (/ 1 a)))))))
(* -1 (* b_2 (sqrt -1)))
(* -1 (* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (+ (* 1/2 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))))) (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3)))))) (pow b_2 6))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))))))))
(* 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))))))))
(- (+ (* b_2 (sqrt -1)) (* c (+ (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2))))) b_2)
(- (+ (* b_2 (sqrt -1)) (* c (+ (* 1/2 (/ (* a (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5)))))))) b_2)
(- (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (/ (* b_2 (sqrt -1)) a)) (/ b_2 a))
(- (+ (* c (+ (* -1/8 (/ (* a (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (sqrt -1) b_2)))) (/ (* b_2 (sqrt -1)) a)) (/ b_2 a))
(- (+ (* c (+ (* 1/2 (/ (sqrt -1) b_2)) (* c (+ (* -1/8 (/ (* a (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 5))))))) (/ (* b_2 (sqrt -1)) a)) (/ b_2 a))
(+ (* c (- (* (pow a 2) (* (pow b_2 6) c)) (* a (pow b_2 8)))) (pow b_2 10))
(+ (* c (- (* c (- (* -1 (* (pow a 3) (* (pow b_2 4) c))) (* -1 (* (pow a 2) (pow b_2 6))))) (* a (pow b_2 8)))) (pow b_2 10))
(* c (+ (* -1/2 (/ a b_2)) (* -1/2 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) b_2))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/2 (/ (* c (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow a 3) (pow b_2 4))) (+ (* 1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 2))) (+ (* 2 (/ (pow a 3) (pow b_2 4))) (/ (pow a 3) (pow b_2 4))))))) b_2)) (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) b_2))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) b_2)) (* c (+ (* -1/2 (/ (* c (+ (* -1 (/ (* a (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow a 3) (pow b_2 4))) (+ (* 2 (/ (pow a 3) (pow b_2 4))) (/ (pow a 3) (pow b_2 4)))))) (pow b_2 2))) (+ (* -1 (/ (* a (+ (* 2 (* (pow a 3) (pow b_2 4))) (* (pow a 3) (pow b_2 4)))) (pow b_2 10))) (+ (* -1 (/ (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (pow b_2 4))) (+ (* 1/4 (/ (pow (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) 2) (pow b_2 2))) (+ (* 1/2 (/ (* a (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow a 3) (pow b_2 4))) (+ (* 1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 2))) (+ (* 2 (/ (pow a 3) (pow b_2 4))) (/ (pow a 3) (pow b_2 4))))))) (pow b_2 2))) (+ (* 2 (/ (pow a 4) (pow b_2 6))) (/ (pow a 4) (pow b_2 6))))))))) b_2)) (* -1/2 (/ (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow a 3) (pow b_2 4))) (+ (* 1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 2))) (+ (* 2 (/ (pow a 3) (pow b_2 4))) (/ (pow a 3) (pow b_2 4)))))) b_2))))))))
(* c (- (* -1/2 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (* a b_2))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/2 (/ (* c (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow a 3) (pow b_2 4))) (+ (* 1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 2))) (+ (* 2 (/ (pow a 3) (pow b_2 4))) (/ (pow a 3) (pow b_2 4))))))) (* a b_2))) (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (* a b_2))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (* a b_2))) (* c (+ (* -1/2 (/ (* c (+ (* -1 (/ (* a (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow a 3) (pow b_2 4))) (+ (* 2 (/ (pow a 3) (pow b_2 4))) (/ (pow a 3) (pow b_2 4)))))) (pow b_2 2))) (+ (* -1 (/ (* a (+ (* 2 (* (pow a 3) (pow b_2 4))) (* (pow a 3) (pow b_2 4)))) (pow b_2 10))) (+ (* -1 (/ (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (pow b_2 4))) (+ (* 1/4 (/ (pow (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) 2) (pow b_2 2))) (+ (* 1/2 (/ (* a (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow a 3) (pow b_2 4))) (+ (* 1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 2))) (+ (* 2 (/ (pow a 3) (pow b_2 4))) (/ (pow a 3) (pow b_2 4))))))) (pow b_2 2))) (+ (* 2 (/ (pow a 4) (pow b_2 6))) (/ (pow a 4) (pow b_2 6))))))))) (* a b_2))) (* -1/2 (/ (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow a 3) (pow b_2 4))) (+ (* 1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 2))) (+ (* 2 (/ (pow a 3) (pow b_2 4))) (/ (pow a 3) (pow b_2 4)))))) (* a b_2))))))) (* 1/2 (/ 1 b_2))))
(+ (* b_2 (sqrt -1)) (* c (+ (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2)))))
(+ (* b_2 (sqrt -1)) (* c (+ (* 1/2 (/ (* a (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5))))))))
(+ (* c (- (/ (* (pow a 2) c) (pow b_2 6)) (/ a (pow b_2 4)))) (/ 1 (pow b_2 2)))
(+ (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (pow b_2 8))) (* -1 (/ (pow a 2) (pow b_2 6))))) (/ a (pow b_2 4)))) (/ 1 (pow b_2 2)))
(+ (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) a)) (pow b_2 2))
(+ (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow a 3) (pow b_2 4))) (+ (* 2 (/ (pow a 3) (pow b_2 4))) (/ (pow a 3) (pow b_2 4))))))) (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) a)) (pow b_2 2))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/2 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) b_2)))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/2 (/ (* c (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow a 3) (pow b_2 4))) (+ (* 1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 2))) (+ (* 2 (/ (pow a 3) (pow b_2 4))) (/ (pow a 3) (pow b_2 4))))))) b_2)) (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) b_2)))))))
(* c (+ (* -1 (/ 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 (+ (* -1 a) (* -1 (/ (pow b_2 2) c))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 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))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* (pow c 5) (+ (* -1 (pow a 5)) (/ (* (pow a 4) (pow b_2 2)) c)))
(* (pow c 5) (- (+ (* -1 (/ (* (pow a 3) (pow b_2 4)) (pow c 2))) (* -1 (pow a 5))) (* -1 (/ (* (pow a 4) (pow b_2 2)) c))))
(* (pow c 5) (- (+ (* -1 (pow a 5)) (/ (* (pow a 2) (pow b_2 6)) (pow c 3))) (+ (* -1 (/ (* (pow a 4) (pow b_2 2)) c)) (/ (* (pow a 3) (pow b_2 4)) (pow c 2)))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 9) (pow c 3)))) (/ (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (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 (* (pow a 3) (pow b_2 4))) (* (pow a 3) (pow b_2 4))) (pow a 4))) (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (pow a 9))) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 9) (pow c 3)))) (/ (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (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 11) (pow c 3)))) (/ (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (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 (* (pow a 3) (pow b_2 4))) (* (pow a 3) (pow b_2 4))) (pow a 4))) (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (pow a 9))) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 11) (pow c 3)))) (/ (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (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) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(/ (+ (* -1 (/ (pow b_2 2) (* (pow a 2) c))) (/ 1 a)) c)
(/ (- (+ (/ 1 a) (/ (pow b_2 4) (* (pow a 3) (pow c 2)))) (/ (pow b_2 2) (* (pow a 2) c))) c)
(/ (- (+ (* -1 (/ (pow b_2 6) (* (pow a 4) (pow c 3)))) (/ 1 a)) (+ (* -1 (/ (pow b_2 4) (* (pow a 3) (pow c 2)))) (/ (pow b_2 2) (* (pow a 2) c)))) c)
(* c (+ (* -1 a) (+ (* 2 (/ (pow b_2 2) c)) (/ (pow b_2 2) c))))
(* c (- (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (pow a 3) (pow b_2 4))) (* (pow a 3) (pow b_2 4))) (pow a 4))) (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (pow a 9))) (pow c 2)))) (* -1 (/ (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) (* (pow a 4) c)))))
(* c (- (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (/ (+ (* 2 (* (pow a 3) (pow b_2 4))) (* (pow a 3) (pow b_2 4))) (pow a 4))) (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (pow a 9))) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2)))) (pow a 5))) (+ (* -1 (/ (pow b_2 6) (pow a 2))) (/ (* (+ (* 2 (* (pow a 3) (pow b_2 4))) (* (pow a 3) (pow b_2 4))) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2)))) (pow a 9)))) (pow c 3)))) (+ (* -1 (/ (+ (* 2 (* (pow a 3) (pow b_2 4))) (* (pow a 3) (pow b_2 4))) (* (pow a 4) (pow c 2)))) (+ (* -1 (/ (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) (* (pow a 4) c))) (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (* (pow a 9) (pow c 2)))))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 9) (pow c 3)))) (/ (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1 (/ (+ (* 2 (* (pow a 3) (pow b_2 4))) (* (pow a 3) (pow b_2 4))) (pow a 4))) (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (pow a 9))) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 9) (pow c 3)))) (/ (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1 (/ (+ (* 2 (* (pow a 3) (pow b_2 4))) (* (pow a 3) (pow b_2 4))) (pow a 4))) (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (pow a 9))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 7)))) (/ (+ (* -1 (/ (* (+ (* -1 (/ (+ (* 2 (* (pow a 3) (pow b_2 4))) (* (pow a 3) (pow b_2 4))) (pow a 4))) (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (pow a 9))) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2)))) (pow a 5))) (+ (* -1 (/ (pow b_2 6) (pow a 2))) (+ (* 1/4 (/ (* c (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2)) (* (pow a 9) (pow (sqrt -1) 2)))) (/ (* (+ (* 2 (* (pow a 3) (pow b_2 4))) (* (pow a 3) (pow b_2 4))) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2)))) (pow a 9))))) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 9) (pow c 3)))) (/ (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* (pow c 6) (- (/ (pow b_2 12) (pow c 6)) (pow a 6)))
(* -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 (+ a (/ (pow b_2 2) c))))
(* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 3)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)))))
(* -1 (* (pow c 5) (+ (* -1 (/ (* (pow a 4) (pow b_2 2)) c)) (pow a 5))))
(* -1 (* (pow c 5) (+ (* -1 (/ (- (* -1 (/ (* (pow a 3) (pow b_2 4)) c)) (* -1 (* (pow a 4) (pow b_2 2)))) c)) (pow a 5))))
(* -1 (* (pow c 5) (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow a 2) (pow b_2 6)) c)) (* -1 (* (pow a 3) (pow b_2 4)))) c)) (* -1 (* (pow a 4) (pow b_2 2)))) c)) (pow a 5))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* (pow a 9) c))) (* (sqrt -1) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (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 (* (pow a 3) (pow b_2 4))) (* -1 (* (pow a 3) (pow b_2 4)))) (pow a 4))) (* -1 (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (pow a 9))))))) (* 1/2 (* (sqrt (/ c (pow a 9))) (* (sqrt -1) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (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 11) c))) (* (sqrt -1) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (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 (* (pow a 3) (pow b_2 4))) (* -1 (* (pow a 3) (pow b_2 4)))) (pow a 4))) (* -1 (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (pow a 9))))))) (* 1/2 (* (sqrt (/ c (pow a 11))) (* (sqrt -1) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))))))) 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)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))))
(* -1 (/ (- (/ (pow b_2 2) (* (pow a 2) c)) (/ 1 a)) c))
(* -1 (/ (- (* -1 (/ (- (/ (pow b_2 4) (* (pow a 3) c)) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* (pow a 4) c)) (/ (pow b_2 4) (pow a 3))) c)) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c))
(* -1 (* c (+ a (* -1 (/ (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) (* (pow a 4) c))))))
(* -1 (* c (+ a (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 3) (pow b_2 4))) (* -1 (* (pow a 3) (pow b_2 4)))) (* (pow a 4) c))) (* -1 (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (* (pow a 9) c)))) (* -1 (/ (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) (pow a 4)))) c)))))
(* -1 (* c (+ a (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (pow a 3) (pow b_2 4))) (* -1 (* (pow a 3) (pow b_2 4)))) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2)))) (* (pow a 9) c))) (+ (* -1 (/ (pow b_2 6) (* (pow a 2) c))) (/ (* (+ (* -1 (/ (+ (* -2 (* (pow a 3) (pow b_2 4))) (* -1 (* (pow a 3) (pow b_2 4)))) (pow a 4))) (* -1 (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (pow a 9)))) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2)))) (* (pow a 5) c)))) (+ (* -1 (/ (+ (* -2 (* (pow a 3) (pow b_2 4))) (* -1 (* (pow a 3) (pow b_2 4)))) (pow a 4))) (* -1 (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (pow a 9))))) c)) (* -1 (/ (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) (pow a 4)))) c)))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 9) (pow c 3)))) (* (sqrt -1) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2)))))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (+ (* -1 (/ (+ (* -2 (* (pow a 3) (pow b_2 4))) (* -1 (* (pow a 3) (pow b_2 4)))) (pow a 4))) (* -1 (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (pow a 9))))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 9) (pow c 3)))) (* (sqrt -1) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2)))))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (/ (+ (* -2 (* (pow a 3) (pow b_2 4))) (* -1 (* (pow a 3) (pow b_2 4)))) (pow a 4))) (* -1 (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (pow a 9))))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (/ (* (+ (* -2 (* (pow a 3) (pow b_2 4))) (* -1 (* (pow a 3) (pow b_2 4)))) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2)))) (pow a 9))) (+ (* -1 (/ (pow b_2 6) (pow a 2))) (+ (* -1/4 (/ (* c (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2)) (pow a 9))) (/ (* (+ (* -1 (/ (+ (* -2 (* (pow a 3) (pow b_2 4))) (* -1 (* (pow a 3) (pow b_2 4)))) (pow a 4))) (* -1 (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (pow a 9)))) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2)))) (pow a 5))))))))) (pow c 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 9) (pow c 3)))) (* (sqrt -1) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2)))))) (* (sqrt (/ a c)) (sqrt -1))))))

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	b_2	@	0	((+ (neg b_2) (sqrt (+ (* b_2 b_2) (* (neg a) c)))) (/ (+ (neg b_2) (sqrt (+ (* b_2 b_2) (* (neg a) c)))) a) (neg b_2) (sqrt (+ (* b_2 b_2) (* (neg a) c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -2 (/ b_2 a)) (/ b_2 a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (neg b_2) (sqrt (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1)))) (/ (+ (neg b_2) (sqrt (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1)))) a) (* (- (pow b_2 12) (pow (* c a) 6)) (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (neg b_2) (sqrt (/ (* (- (pow b_2 12) (pow (* c a) 6)) (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (pow (* (+ (* c a) (* b_2 b_2)) (* c a)) 2) (pow b_2 8))))) (/ (+ (neg b_2) (sqrt (/ (* (- (pow b_2 12) (pow (* c a) 6)) (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (pow (* (+ (* c a) (* b_2 b_2)) (* c a)) 2) (pow b_2 8))))) a) (neg a) (sqrt (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1))) (pow (+ (* c a) (* b_2 b_2)) -1) (/ (* (- (pow b_2 12) (pow (* c a) 6)) (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (pow (* (+ (* c a) (* b_2 b_2)) (* c a)) 2) (pow b_2 8))) (sqrt (/ (* (- (pow b_2 12) (pow (* c a) 6)) (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (pow (* (+ (* c a) (* b_2 b_2)) (* c a)) 2) (pow b_2 8)))) (- (pow b_2 12) (pow (* c a) 6)))
14.0ms	a	@	0	((+ (neg b_2) (sqrt (+ (* b_2 b_2) (* (neg a) c)))) (/ (+ (neg b_2) (sqrt (+ (* b_2 b_2) (* (neg a) c)))) a) (neg b_2) (sqrt (+ (* b_2 b_2) (* (neg a) c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -2 (/ b_2 a)) (/ b_2 a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (neg b_2) (sqrt (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1)))) (/ (+ (neg b_2) (sqrt (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1)))) a) (* (- (pow b_2 12) (pow (* c a) 6)) (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (neg b_2) (sqrt (/ (* (- (pow b_2 12) (pow (* c a) 6)) (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (pow (* (+ (* c a) (* b_2 b_2)) (* c a)) 2) (pow b_2 8))))) (/ (+ (neg b_2) (sqrt (/ (* (- (pow b_2 12) (pow (* c a) 6)) (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (pow (* (+ (* c a) (* b_2 b_2)) (* c a)) 2) (pow b_2 8))))) a) (neg a) (sqrt (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1))) (pow (+ (* c a) (* b_2 b_2)) -1) (/ (* (- (pow b_2 12) (pow (* c a) 6)) (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (pow (* (+ (* c a) (* b_2 b_2)) (* c a)) 2) (pow b_2 8))) (sqrt (/ (* (- (pow b_2 12) (pow (* c a) 6)) (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (pow (* (+ (* c a) (* b_2 b_2)) (* c a)) 2) (pow b_2 8)))) (- (pow b_2 12) (pow (* c a) 6)))
13.0ms	c	@	-inf	((+ (neg b_2) (sqrt (+ (* b_2 b_2) (* (neg a) c)))) (/ (+ (neg b_2) (sqrt (+ (* b_2 b_2) (* (neg a) c)))) a) (neg b_2) (sqrt (+ (* b_2 b_2) (* (neg a) c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -2 (/ b_2 a)) (/ b_2 a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (neg b_2) (sqrt (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1)))) (/ (+ (neg b_2) (sqrt (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1)))) a) (* (- (pow b_2 12) (pow (* c a) 6)) (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (neg b_2) (sqrt (/ (* (- (pow b_2 12) (pow (* c a) 6)) (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (pow (* (+ (* c a) (* b_2 b_2)) (* c a)) 2) (pow b_2 8))))) (/ (+ (neg b_2) (sqrt (/ (* (- (pow b_2 12) (pow (* c a) 6)) (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (pow (* (+ (* c a) (* b_2 b_2)) (* c a)) 2) (pow b_2 8))))) a) (neg a) (sqrt (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1))) (pow (+ (* c a) (* b_2 b_2)) -1) (/ (* (- (pow b_2 12) (pow (* c a) 6)) (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (pow (* (+ (* c a) (* b_2 b_2)) (* c a)) 2) (pow b_2 8))) (sqrt (/ (* (- (pow b_2 12) (pow (* c a) 6)) (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (pow (* (+ (* c a) (* b_2 b_2)) (* c a)) 2) (pow b_2 8)))) (- (pow b_2 12) (pow (* c a) 6)))
13.0ms	a	@	-inf	((+ (neg b_2) (sqrt (+ (* b_2 b_2) (* (neg a) c)))) (/ (+ (neg b_2) (sqrt (+ (* b_2 b_2) (* (neg a) c)))) a) (neg b_2) (sqrt (+ (* b_2 b_2) (* (neg a) c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -2 (/ b_2 a)) (/ b_2 a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (neg b_2) (sqrt (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1)))) (/ (+ (neg b_2) (sqrt (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1)))) a) (* (- (pow b_2 12) (pow (* c a) 6)) (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (neg b_2) (sqrt (/ (* (- (pow b_2 12) (pow (* c a) 6)) (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (pow (* (+ (* c a) (* b_2 b_2)) (* c a)) 2) (pow b_2 8))))) (/ (+ (neg b_2) (sqrt (/ (* (- (pow b_2 12) (pow (* c a) 6)) (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (pow (* (+ (* c a) (* b_2 b_2)) (* c a)) 2) (pow b_2 8))))) a) (neg a) (sqrt (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1))) (pow (+ (* c a) (* b_2 b_2)) -1) (/ (* (- (pow b_2 12) (pow (* c a) 6)) (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (pow (* (+ (* c a) (* b_2 b_2)) (* c a)) 2) (pow b_2 8))) (sqrt (/ (* (- (pow b_2 12) (pow (* c a) 6)) (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (pow (* (+ (* c a) (* b_2 b_2)) (* c a)) 2) (pow b_2 8)))) (- (pow b_2 12) (pow (* c a) 6)))
13.0ms	c	@	0	((+ (neg b_2) (sqrt (+ (* b_2 b_2) (* (neg a) c)))) (/ (+ (neg b_2) (sqrt (+ (* b_2 b_2) (* (neg a) c)))) a) (neg b_2) (sqrt (+ (* b_2 b_2) (* (neg a) c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -2 (/ b_2 a)) (/ b_2 a) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (neg b_2) (sqrt (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1)))) (/ (+ (neg b_2) (sqrt (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1)))) a) (* (- (pow b_2 12) (pow (* c a) 6)) (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (neg b_2) (sqrt (/ (* (- (pow b_2 12) (pow (* c a) 6)) (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (pow (* (+ (* c a) (* b_2 b_2)) (* c a)) 2) (pow b_2 8))))) (/ (+ (neg b_2) (sqrt (/ (* (- (pow b_2 12) (pow (* c a) 6)) (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (pow (* (+ (* c a) (* b_2 b_2)) (* c a)) 2) (pow b_2 8))))) a) (neg a) (sqrt (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1))) (pow (+ (* c a) (* b_2 b_2)) -1) (/ (* (- (pow b_2 12) (pow (* c a) 6)) (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (pow (* (+ (* c a) (* b_2 b_2)) (* c a)) 2) (pow b_2 8))) (sqrt (/ (* (- (pow b_2 12) (pow (* c a) 6)) (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (pow (* (+ (* c a) (* b_2 b_2)) (* c a)) 2) (pow b_2 8)))) (- (pow b_2 12) (pow (* c a) 6)))

simplify253.0ms (3.3%)

Memory

25.9MiB live, 254.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1916	14909
1	6571	14181
0	8168	13756

Stop Event

1×	iter limit
1×	node limit

Counts

329 → 328

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))))))))
(* -2 (/ b_2 a))
(/ b_2 a)
(* -1/2 (/ a b_2))
(* -1 (pow b_2 2))
(+ (* -1 (* a c)) (* -1 (pow b_2 2)))
(- (* b_2 (sqrt -1)) b_2)
(- (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) b_2)
(- (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) b_2)
(- (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) b_2)
(/ (- (* b_2 (sqrt -1)) b_2) a)
(/ (- (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) b_2) a)
(/ (- (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) b_2) a)
(/ (- (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) b_2) a)
(pow b_2 10)
(+ (* -1 (* a (* (pow b_2 8) c))) (pow b_2 10))
(+ (* a (- (* a (* (pow b_2 6) (pow c 2))) (* (pow b_2 8) c))) (pow b_2 10))
(+ (* a (- (* a (- (* -1 (* a (* (pow b_2 4) (pow c 3)))) (* -1 (* (pow b_2 6) (pow c 2))))) (* (pow b_2 8) c))) (pow b_2 10))
(* a (+ (* -1/2 (/ c b_2)) (* -1/2 (/ (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) b_2))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow c 3) (pow b_2 4))) (+ (* 1/2 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 2))) (+ (* 2 (/ (pow c 3) (pow b_2 4))) (/ (pow c 3) (pow b_2 4))))))) b_2)) (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* a (+ (* -1/2 (/ (* a (+ (* -1 (/ (* c (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow c 3) (pow b_2 4))) (+ (* 2 (/ (pow c 3) (pow b_2 4))) (/ (pow c 3) (pow b_2 4)))))) (pow b_2 2))) (+ (* -1 (/ (* c (+ (* 2 (* (pow b_2 4) (pow c 3))) (* (pow b_2 4) (pow c 3)))) (pow b_2 10))) (+ (* -1 (/ (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) (pow b_2 4))) (+ (* 1/4 (/ (pow (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) 2) (pow b_2 2))) (+ (* 1/2 (/ (* c (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow c 3) (pow b_2 4))) (+ (* 1/2 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 2))) (+ (* 2 (/ (pow c 3) (pow b_2 4))) (/ (pow c 3) (pow b_2 4))))))) (pow b_2 2))) (+ (* 2 (/ (pow c 4) (pow b_2 6))) (/ (pow c 4) (pow b_2 6))))))))) b_2)) (* -1/2 (/ (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow c 3) (pow b_2 4))) (+ (* 1/2 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 2))) (+ (* 2 (/ (pow c 3) (pow b_2 4))) (/ (pow c 3) (pow b_2 4)))))) b_2))))))))
(+ (* -1/2 (/ c b_2)) (* -1/2 (/ (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) b_2)))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow c 3) (pow b_2 4))) (+ (* 1/2 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 2))) (+ (* 2 (/ (pow c 3) (pow b_2 4))) (/ (pow c 3) (pow b_2 4))))))) b_2)) (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)) (* a (+ (* -1/2 (/ (* a (+ (* -1 (/ (* c (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow c 3) (pow b_2 4))) (+ (* 2 (/ (pow c 3) (pow b_2 4))) (/ (pow c 3) (pow b_2 4)))))) (pow b_2 2))) (+ (* -1 (/ (* c (+ (* 2 (* (pow b_2 4) (pow c 3))) (* (pow b_2 4) (pow c 3)))) (pow b_2 10))) (+ (* -1 (/ (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) (pow b_2 4))) (+ (* 1/4 (/ (pow (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) 2) (pow b_2 2))) (+ (* 1/2 (/ (* c (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow c 3) (pow b_2 4))) (+ (* 1/2 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 2))) (+ (* 2 (/ (pow c 3) (pow b_2 4))) (/ (pow c 3) (pow b_2 4))))))) (pow b_2 2))) (+ (* 2 (/ (pow c 4) (pow b_2 6))) (/ (pow c 4) (pow b_2 6))))))))) b_2)) (* -1/2 (/ (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow c 3) (pow b_2 4))) (+ (* 1/2 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 2))) (+ (* 2 (/ (pow c 3) (pow b_2 4))) (/ (pow c 3) (pow b_2 4)))))) b_2)))))))
(* -1 a)
(* b_2 (sqrt -1))
(+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1)))
(+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1)))
(/ 1 (pow b_2 2))
(+ (* -1 (/ (* a c) (pow b_2 4))) (/ 1 (pow b_2 2)))
(+ (* a (- (/ (* a (pow c 2)) (pow b_2 6)) (/ c (pow b_2 4)))) (/ 1 (pow b_2 2)))
(+ (* a (- (* a (- (* -1 (/ (* a (pow c 3)) (pow b_2 8))) (* -1 (/ (pow c 2) (pow b_2 6))))) (/ c (pow b_2 4)))) (/ 1 (pow b_2 2)))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) c)) (pow b_2 2))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow c 3) (pow b_2 4))) (+ (* 2 (/ (pow c 3) (pow b_2 4))) (/ (pow c 3) (pow b_2 4))))))) (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) c)) (pow b_2 2))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/2 (/ (* a (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) b_2)))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow c 3) (pow b_2 4))) (+ (* 1/2 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) (pow b_2 2))) (+ (* 2 (/ (pow c 3) (pow b_2 4))) (/ (pow c 3) (pow b_2 4))))))) b_2)) (* -1/2 (/ (+ (* -1 (/ (pow c 2) (pow b_2 2))) (+ (* 1/4 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) b_2)))))))
(pow b_2 12)
(+ (* -1 (* (pow a 6) (pow c 6))) (pow b_2 12))
(* (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 (+ (* -1 c) (* -1 (/ (pow b_2 2) a))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (pow a 5) (pow c 5)))
(* (pow a 5) (+ (* -1 (pow c 5)) (/ (* (pow b_2 2) (pow c 4)) a)))
(* (pow a 5) (- (+ (* -1 (/ (* (pow b_2 4) (pow c 3)) (pow a 2))) (* -1 (pow c 5))) (* -1 (/ (* (pow b_2 2) (pow c 4)) a))))
(* (pow a 5) (- (+ (* -1 (pow c 5)) (/ (* (pow b_2 6) (pow c 2)) (pow a 3))) (+ (* -1 (/ (* (pow b_2 2) (pow c 4)) a)) (/ (* (pow b_2 4) (pow c 3)) (pow a 2)))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 9)))) (/ (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) (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) (pow c 3))) (* (pow b_2 4) (pow c 3))) (pow c 4))) (/ (pow (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) 2) (pow c 9))) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 9)))) (/ (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 9)))) (/ (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) (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) (pow c 3))) (* (pow b_2 4) (pow c 3))) (pow c 4))) (/ (pow (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) 2) (pow c 9))) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 9)))) (/ (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) (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) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(/ 1 (* a c))
(/ (+ (* -1 (/ (pow b_2 2) (* a (pow c 2)))) (/ 1 c)) a)
(/ (- (+ (/ 1 c) (/ (pow b_2 4) (* (pow a 2) (pow c 3)))) (/ (pow b_2 2) (* a (pow c 2)))) a)
(/ (- (+ (* -1 (/ (pow b_2 6) (* (pow a 3) (pow c 4)))) (/ 1 c)) (+ (* -1 (/ (pow b_2 4) (* (pow a 2) (pow c 3)))) (/ (pow b_2 2) (* a (pow c 2))))) a)
(* a (+ (* -1 c) (+ (* 2 (/ (pow b_2 2) a)) (/ (pow b_2 2) a))))
(* a (- (+ (* -1 c) (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (pow b_2 4) (pow c 3))) (* (pow b_2 4) (pow c 3))) (pow c 4))) (/ (pow (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) 2) (pow c 9))) (pow a 2)))) (* -1 (/ (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) (* a (pow c 4))))))
(* a (- (+ (* -1 c) (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (/ (+ (* 2 (* (pow b_2 4) (pow c 3))) (* (pow b_2 4) (pow c 3))) (pow c 4))) (/ (pow (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) 2) (pow c 9))) (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4)))) (pow c 5))) (+ (* -1 (/ (pow b_2 6) (pow c 2))) (/ (* (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) (+ (* 2 (* (pow b_2 4) (pow c 3))) (* (pow b_2 4) (pow c 3)))) (pow c 9)))) (pow a 3)))) (+ (* -1 (/ (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) (* a (pow c 4)))) (+ (* -1 (/ (+ (* 2 (* (pow b_2 4) (pow c 3))) (* (pow b_2 4) (pow c 3))) (* (pow a 2) (pow c 4)))) (/ (pow (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) 2) (* (pow a 2) (pow c 9)))))))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 9)))) (/ (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (+ (* 2 (* (pow b_2 4) (pow c 3))) (* (pow b_2 4) (pow c 3))) (pow c 4))) (/ (pow (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) 2) (pow c 9))) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 9)))) (/ (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1 (/ (+ (* 2 (* (pow b_2 4) (pow c 3))) (* (pow b_2 4) (pow c 3))) (pow c 4))) (/ (pow (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) 2) (pow c 9))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 7) c))) (/ (+ (* -1 (/ (* (+ (* -1 (/ (+ (* 2 (* (pow b_2 4) (pow c 3))) (* (pow b_2 4) (pow c 3))) (pow c 4))) (/ (pow (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) 2) (pow c 9))) (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4)))) (pow c 5))) (+ (* -1 (/ (pow b_2 6) (pow c 2))) (+ (* 1/4 (/ (* a (pow (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) 2)) (* (pow c 9) (pow (sqrt -1) 2)))) (/ (* (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) (+ (* 2 (* (pow b_2 4) (pow c 3))) (* (pow b_2 4) (pow c 3)))) (pow c 9))))) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 9)))) (/ (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (pow a 6) (pow c 6)))
(* (pow a 6) (- (/ (pow b_2 12) (pow a 6)) (pow c 6)))
(* -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 (+ c (/ (pow b_2 2) a))))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))
(* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 3)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1 (* (pow a 5) (+ (* -1 (/ (* (pow b_2 2) (pow c 4)) a)) (pow c 5))))
(* -1 (* (pow a 5) (+ (* -1 (/ (- (* -1 (/ (* (pow b_2 4) (pow c 3)) a)) (* -1 (* (pow b_2 2) (pow c 4)))) a)) (pow c 5))))
(* -1 (* (pow a 5) (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow b_2 6) (pow c 2)) a)) (* -1 (* (pow b_2 4) (pow c 3)))) a)) (* -1 (* (pow b_2 2) (pow c 4)))) a)) (pow c 5))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 9)))) (* (sqrt -1) (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4)))))) 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) (pow c 3))) (* -1 (* (pow b_2 4) (pow c 3)))) (pow c 4))) (* -1 (/ (pow (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) 2) (pow c 9))))))) (* 1/2 (* (sqrt (/ a (pow c 9))) (* (sqrt -1) (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))))))) 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 9)))) (* (sqrt -1) (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))))))) 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) (pow c 3))) (* -1 (* (pow b_2 4) (pow c 3)))) (pow c 4))) (* -1 (/ (pow (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) 2) (pow c 9))))))) (* -1/2 (* (sqrt (/ a (pow c 9))) (* (sqrt -1) (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))))))) a))) a)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))))
(* -1 (/ (- (/ (pow b_2 2) (* a (pow c 2))) (/ 1 c)) a))
(* -1 (/ (- (* -1 (/ (- (/ (pow b_2 4) (* a (pow c 3))) (/ (pow b_2 2) (pow c 2))) a)) (/ 1 c)) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* a (pow c 4))) (/ (pow b_2 4) (pow c 3))) a)) (/ (pow b_2 2) (pow c 2))) a)) (/ 1 c)) a))
(* -1 (* a (+ c (* -1 (/ (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) (* a (pow c 4)))))))
(* -1 (* a (+ c (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (* (pow b_2 4) (pow c 3))) (* -1 (* (pow b_2 4) (pow c 3)))) (* a (pow c 4)))) (* -1 (/ (pow (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) 2) (* a (pow c 9))))) (* -1 (/ (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) (pow c 4)))) a)))))
(* -1 (* a (+ c (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (pow b_2 4) (pow c 3))) (* -1 (* (pow b_2 4) (pow c 3)))) (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4)))) (* a (pow c 9)))) (+ (* -1 (/ (pow b_2 6) (* a (pow c 2)))) (/ (* (+ (* -1 (/ (+ (* -2 (* (pow b_2 4) (pow c 3))) (* -1 (* (pow b_2 4) (pow c 3)))) (pow c 4))) (* -1 (/ (pow (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) 2) (pow c 9)))) (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4)))) (* a (pow c 5))))) (+ (* -1 (/ (+ (* -2 (* (pow b_2 4) (pow c 3))) (* -1 (* (pow b_2 4) (pow c 3)))) (pow c 4))) (* -1 (/ (pow (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) 2) (pow c 9))))) a)) (* -1 (/ (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) (pow c 4)))) a)))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 9)))) (* (sqrt -1) (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4)))))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 9)))) (* (sqrt -1) (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4)))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (+ (* -1 (/ (+ (* -2 (* (pow b_2 4) (pow c 3))) (* -1 (* (pow b_2 4) (pow c 3)))) (pow c 4))) (* -1 (/ (pow (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) 2) (pow c 9))))))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (/ (+ (* -2 (* (pow b_2 4) (pow c 3))) (* -1 (* (pow b_2 4) (pow c 3)))) (pow c 4))) (* -1 (/ (pow (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) 2) (pow c 9))))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (/ (* (+ (* -2 (* (pow b_2 4) (pow c 3))) (* -1 (* (pow b_2 4) (pow c 3)))) (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4)))) (pow c 9))) (+ (* -1 (/ (pow b_2 6) (pow c 2))) (+ (* -1/4 (/ (* a (pow (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) 2)) (pow c 9))) (/ (* (+ (* -1 (/ (+ (* -2 (* (pow b_2 4) (pow c 3))) (* -1 (* (pow b_2 4) (pow c 3)))) (pow c 4))) (* -1 (/ (pow (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4))) 2) (pow c 9)))) (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4)))) (pow c 5))))))))) (pow a 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 9)))) (* (sqrt -1) (+ (* 2 (* (pow b_2 2) (pow c 4))) (* (pow b_2 2) (pow c 4)))))) (* (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)))
(+ (* 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)))))))))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (pow a 5) (pow c 5))) (* (pow a 4) (* (pow b_2 2) (pow c 4))))
(+ (* -1 (* (pow a 5) (pow c 5))) (* (pow b_2 2) (- (* -1 (* (pow a 3) (* (pow b_2 2) (pow c 3)))) (* -1 (* (pow a 4) (pow c 4))))))
(+ (* -1 (* (pow a 5) (pow c 5))) (* (pow b_2 2) (- (* (pow b_2 2) (- (* (pow a 2) (* (pow b_2 2) (pow c 2))) (* (pow a 3) (pow c 3)))) (* -1 (* (pow a 4) (pow c 4))))))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 9) (pow c 9)))) (/ (* b_2 (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4)))) (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b_2 2) (+ (* -1 (/ (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))) (* (pow a 4) (pow c 4)))) (+ (* 1/4 (/ (pow (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) 2) (* (pow a 9) (* (pow c 9) (pow (sqrt -1) 2))))) (/ (pow (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) 2) (* (pow a 9) (pow c 9)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 9) (pow c 9)))) (/ (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 11) (pow c 9)))) (/ (* b_2 (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4)))) (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 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))) (* (pow a 4) (pow c 4)))) (+ (* 1/4 (/ (pow (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) 2) (* (pow a 9) (* (pow c 9) (pow (sqrt -1) 2))))) (/ (pow (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) 2) (* (pow a 9) (pow c 9)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 11) (pow c 9)))) (/ (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (sqrt -1))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 2) (sqrt -1)))))))))
(+ (* -1 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (/ 1 (* a c)))
(+ (* (pow b_2 2) (- (/ (pow b_2 2) (* (pow a 3) (pow c 3))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))
(+ (* (pow b_2 2) (- (* (pow b_2 2) (+ (* -1 (/ (pow b_2 2) (* (pow a 4) (pow c 4)))) (/ 1 (* (pow a 3) (pow c 3))))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c)))
(+ (* -1 (* a c)) (/ (* (pow b_2 2) (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4)))) (* (pow a 4) (pow c 4))))
(+ (* -1 (* a c)) (* (pow b_2 2) (- (* -1 (* (pow b_2 2) (+ (* -1 (/ (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))) (* (pow a 4) (pow c 4)))) (/ (pow (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) 2) (* (pow a 9) (pow c 9)))))) (* -1 (/ (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4)))))))
(+ (* -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 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))) (* (pow a 4) (pow c 4)))) (/ (pow (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) 2) (* (pow a 9) (pow c 9)))) (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4)))) (* (pow a 5) (pow c 5)))) (/ (* (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))) (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4)))) (* (pow a 9) (pow c 9)))))) (+ (* -1 (/ (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))) (* (pow a 4) (pow c 4)))) (/ (pow (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) 2) (* (pow a 9) (pow c 9)))))) (* -1 (/ (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4)))))))
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 9) (pow c 9)))) (/ (* (pow b_2 2) (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4)))) (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 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))) (* (pow a 4) (pow c 4)))) (+ (* 1/4 (/ (pow (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) 2) (* (pow a 9) (* (pow c 9) (pow (sqrt -1) 2))))) (/ (pow (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) 2) (* (pow a 9) (pow c 9)))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 9) (pow c 9)))) (/ (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 9) (pow c 9)))) (/ (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) (sqrt -1)))) (* (pow b_2 2) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (/ (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))) (* (pow a 4) (pow c 4)))) (+ (* 1/4 (/ (pow (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) 2) (* (pow a 9) (* (pow c 9) (pow (sqrt -1) 2))))) (/ (pow (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) 2) (* (pow a 9) (pow c 9))))) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b_2 2) (- (/ 1 (* (pow a 2) (pow c 2))) (+ (* -1 (/ (* (+ (* -1 (/ (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))) (* (pow a 4) (pow c 4)))) (/ (pow (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) 2) (* (pow a 9) (pow c 9)))) (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4)))) (* (pow a 5) (pow c 5)))) (+ (* -1/2 (/ (* (+ (* -1 (/ (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))) (* (pow a 4) (pow c 4)))) (+ (* 1/4 (/ (pow (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) 2) (* (pow a 9) (* (pow c 9) (pow (sqrt -1) 2))))) (/ (pow (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4))) 2) (* (pow a 9) (pow c 9))))) (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4)))) (* (pow a 5) (* (pow c 5) (pow (sqrt -1) 2))))) (/ (* (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))) (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4)))) (* (pow a 9) (pow c 9))))))) (sqrt -1)))))))))
(- (pow b_2 12) (* (pow a 6) (pow c 6)))
(/ (+ (* -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 (/ (* a c) (pow b_2 2))) 1))
(* b_2 (- (sqrt -1) 1))
(* b_2 (- (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))) 1))
(* b_2 (- (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))) 1))
(* b_2 (- (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))) 1))
(/ (* b_2 (- (sqrt -1) 1)) a)
(* b_2 (- (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a)) (/ 1 a)))
(* b_2 (- (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a))) (/ 1 a)))
(* b_2 (- (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a)))) (/ 1 a)))
(* (pow b_2 10) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 10) (- (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2))))
(* (pow b_2 10) (- (+ 1 (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2)))))
(/ (+ (* -1/2 (* a c)) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (+ (* 1/2 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))))) (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3)))))) (pow b_2 4))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 2))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3)))))))) (+ (* -1 (* a (* c (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3)))))) (+ (* -1 (* (pow a 2) (* (pow c 2) (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* 1/4 (pow (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) 2)) (+ (* 1/2 (* a (* c (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (+ (* 1/2 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))))) (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))))))))) (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4)))))))) (pow b_2 6))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (+ (* 1/2 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))))) (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3)))))) (pow b_2 4))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 2)))))) b_2)
(/ (+ (* -1/2 c) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 2))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (+ (* 1/2 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))))) (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3)))))) (* a (pow b_2 4)))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 2)))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3)))))))) (+ (* -1 (* a (* c (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3)))))) (+ (* -1 (* (pow a 2) (* (pow c 2) (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* 1/4 (pow (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) 2)) (+ (* 1/2 (* a (* c (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (+ (* 1/2 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))))) (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))))))))) (+ (* 2 (* (pow a 4) (pow c 4))) (* (pow a 4) (pow c 4)))))))) (* a (pow b_2 6)))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (+ (* 1/2 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))))) (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3)))))) (* a (pow b_2 4)))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 2))))))) b_2)
(* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(/ (+ 1 (* -1 (/ (* a c) (pow b_2 2)))) (pow b_2 2))
(/ (- (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2))) (pow b_2 2))
(/ (- (+ 1 (* -1 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2)))) (pow b_2 2))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b_2 4)))) (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (- (+ 1 (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))))) (pow b_2 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (/ (* a c) (pow b_2 2)) (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (+ (* 1/2 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))))) (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3)))))) (pow b_2 6))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4)))))))
(* (pow b_2 12) (+ 1 (* -1 (/ (* (pow a 6) (pow c 6)) (pow b_2 12)))))
(* -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 (+ (* -1/2 (/ 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))))))))
(* -1 (* b_2 (+ 1 (sqrt -1))))
(* -1 (* b_2 (+ 1 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* -1 (* b_2 (+ 1 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))
(* -1 (* b_2 (+ 1 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))))
(* -1 (/ (* b_2 (+ 1 (sqrt -1))) a))
(* -1 (* b_2 (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a)))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (+ (* 1/2 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))))) (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3)))))) (pow b_2 6))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 4)))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (+ (* 1/2 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))))) (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3)))))) (* a (pow b_2 6)))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (* a (pow b_2 4)))) (* 2 (/ 1 a)))))))
(* -1 (* b_2 (sqrt -1)))
(* -1 (* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (+ (* 1/2 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))))))) (+ (* 2 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3)))))) (pow b_2 6))) (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (+ (* 1/4 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))) (pow b_2 4))))))))
(* 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))))))))
(- (+ (* b_2 (sqrt -1)) (* c (+ (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2))))) b_2)
(- (+ (* b_2 (sqrt -1)) (* c (+ (* 1/2 (/ (* a (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5)))))))) b_2)
(- (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (/ (* b_2 (sqrt -1)) a)) (/ b_2 a))
(- (+ (* c (+ (* -1/8 (/ (* a (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (sqrt -1) b_2)))) (/ (* b_2 (sqrt -1)) a)) (/ b_2 a))
(- (+ (* c (+ (* 1/2 (/ (sqrt -1) b_2)) (* c (+ (* -1/8 (/ (* a (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 5))))))) (/ (* b_2 (sqrt -1)) a)) (/ b_2 a))
(+ (* c (- (* (pow a 2) (* (pow b_2 6) c)) (* a (pow b_2 8)))) (pow b_2 10))
(+ (* c (- (* c (- (* -1 (* (pow a 3) (* (pow b_2 4) c))) (* -1 (* (pow a 2) (pow b_2 6))))) (* a (pow b_2 8)))) (pow b_2 10))
(* c (+ (* -1/2 (/ a b_2)) (* -1/2 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) b_2))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/2 (/ (* c (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow a 3) (pow b_2 4))) (+ (* 1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 2))) (+ (* 2 (/ (pow a 3) (pow b_2 4))) (/ (pow a 3) (pow b_2 4))))))) b_2)) (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) b_2))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) b_2)) (* c (+ (* -1/2 (/ (* c (+ (* -1 (/ (* a (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow a 3) (pow b_2 4))) (+ (* 2 (/ (pow a 3) (pow b_2 4))) (/ (pow a 3) (pow b_2 4)))))) (pow b_2 2))) (+ (* -1 (/ (* a (+ (* 2 (* (pow a 3) (pow b_2 4))) (* (pow a 3) (pow b_2 4)))) (pow b_2 10))) (+ (* -1 (/ (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (pow b_2 4))) (+ (* 1/4 (/ (pow (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) 2) (pow b_2 2))) (+ (* 1/2 (/ (* a (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow a 3) (pow b_2 4))) (+ (* 1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 2))) (+ (* 2 (/ (pow a 3) (pow b_2 4))) (/ (pow a 3) (pow b_2 4))))))) (pow b_2 2))) (+ (* 2 (/ (pow a 4) (pow b_2 6))) (/ (pow a 4) (pow b_2 6))))))))) b_2)) (* -1/2 (/ (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow a 3) (pow b_2 4))) (+ (* 1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 2))) (+ (* 2 (/ (pow a 3) (pow b_2 4))) (/ (pow a 3) (pow b_2 4)))))) b_2))))))))
(* c (- (* -1/2 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (* a b_2))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/2 (/ (* c (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow a 3) (pow b_2 4))) (+ (* 1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 2))) (+ (* 2 (/ (pow a 3) (pow b_2 4))) (/ (pow a 3) (pow b_2 4))))))) (* a b_2))) (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (* a b_2))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (* a b_2))) (* c (+ (* -1/2 (/ (* c (+ (* -1 (/ (* a (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow a 3) (pow b_2 4))) (+ (* 2 (/ (pow a 3) (pow b_2 4))) (/ (pow a 3) (pow b_2 4)))))) (pow b_2 2))) (+ (* -1 (/ (* a (+ (* 2 (* (pow a 3) (pow b_2 4))) (* (pow a 3) (pow b_2 4)))) (pow b_2 10))) (+ (* -1 (/ (* (pow a 2) (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (pow b_2 4))) (+ (* 1/4 (/ (pow (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) 2) (pow b_2 2))) (+ (* 1/2 (/ (* a (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow a 3) (pow b_2 4))) (+ (* 1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 2))) (+ (* 2 (/ (pow a 3) (pow b_2 4))) (/ (pow a 3) (pow b_2 4))))))) (pow b_2 2))) (+ (* 2 (/ (pow a 4) (pow b_2 6))) (/ (pow a 4) (pow b_2 6))))))))) (* a b_2))) (* -1/2 (/ (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow a 3) (pow b_2 4))) (+ (* 1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 2))) (+ (* 2 (/ (pow a 3) (pow b_2 4))) (/ (pow a 3) (pow b_2 4)))))) (* a b_2))))))) (* 1/2 (/ 1 b_2))))
(+ (* b_2 (sqrt -1)) (* c (+ (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2)))))
(+ (* b_2 (sqrt -1)) (* c (+ (* 1/2 (/ (* a (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5))))))))
(+ (* c (- (/ (* (pow a 2) c) (pow b_2 6)) (/ a (pow b_2 4)))) (/ 1 (pow b_2 2)))
(+ (* c (- (* c (- (* -1 (/ (* (pow a 3) c) (pow b_2 8))) (* -1 (/ (pow a 2) (pow b_2 6))))) (/ a (pow b_2 4)))) (/ 1 (pow b_2 2)))
(+ (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) a)) (pow b_2 2))
(+ (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow a 3) (pow b_2 4))) (+ (* 2 (/ (pow a 3) (pow b_2 4))) (/ (pow a 3) (pow b_2 4))))))) (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) a)) (pow b_2 2))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/2 (/ (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) b_2)))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/2 (/ (* c (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) (pow b_2 2))) (+ (* -1 (/ (pow a 3) (pow b_2 4))) (+ (* 1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2))))) (pow b_2 2))) (+ (* 2 (/ (pow a 3) (pow b_2 4))) (/ (pow a 3) (pow b_2 4))))))) b_2)) (* -1/2 (/ (+ (* -1 (/ (pow a 2) (pow b_2 2))) (+ (* 1/4 (/ (pow a 2) (pow b_2 2))) (/ (pow a 2) (pow b_2 2)))) b_2)))))))
(* c (+ (* -1 (/ 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 (+ (* -1 a) (* -1 (/ (pow b_2 2) c))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 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))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* (pow c 5) (+ (* -1 (pow a 5)) (/ (* (pow a 4) (pow b_2 2)) c)))
(* (pow c 5) (- (+ (* -1 (/ (* (pow a 3) (pow b_2 4)) (pow c 2))) (* -1 (pow a 5))) (* -1 (/ (* (pow a 4) (pow b_2 2)) c))))
(* (pow c 5) (- (+ (* -1 (pow a 5)) (/ (* (pow a 2) (pow b_2 6)) (pow c 3))) (+ (* -1 (/ (* (pow a 4) (pow b_2 2)) c)) (/ (* (pow a 3) (pow b_2 4)) (pow c 2)))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 9) (pow c 3)))) (/ (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (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 (* (pow a 3) (pow b_2 4))) (* (pow a 3) (pow b_2 4))) (pow a 4))) (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (pow a 9))) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 9) (pow c 3)))) (/ (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (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 11) (pow c 3)))) (/ (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (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 (* (pow a 3) (pow b_2 4))) (* (pow a 3) (pow b_2 4))) (pow a 4))) (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (pow a 9))) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 11) (pow c 3)))) (/ (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (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) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(/ (+ (* -1 (/ (pow b_2 2) (* (pow a 2) c))) (/ 1 a)) c)
(/ (- (+ (/ 1 a) (/ (pow b_2 4) (* (pow a 3) (pow c 2)))) (/ (pow b_2 2) (* (pow a 2) c))) c)
(/ (- (+ (* -1 (/ (pow b_2 6) (* (pow a 4) (pow c 3)))) (/ 1 a)) (+ (* -1 (/ (pow b_2 4) (* (pow a 3) (pow c 2)))) (/ (pow b_2 2) (* (pow a 2) c)))) c)
(* c (+ (* -1 a) (+ (* 2 (/ (pow b_2 2) c)) (/ (pow b_2 2) c))))
(* c (- (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* 2 (* (pow a 3) (pow b_2 4))) (* (pow a 3) (pow b_2 4))) (pow a 4))) (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (pow a 9))) (pow c 2)))) (* -1 (/ (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) (* (pow a 4) c)))))
(* c (- (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* (+ (* -1 (/ (+ (* 2 (* (pow a 3) (pow b_2 4))) (* (pow a 3) (pow b_2 4))) (pow a 4))) (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (pow a 9))) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2)))) (pow a 5))) (+ (* -1 (/ (pow b_2 6) (pow a 2))) (/ (* (+ (* 2 (* (pow a 3) (pow b_2 4))) (* (pow a 3) (pow b_2 4))) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2)))) (pow a 9)))) (pow c 3)))) (+ (* -1 (/ (+ (* 2 (* (pow a 3) (pow b_2 4))) (* (pow a 3) (pow b_2 4))) (* (pow a 4) (pow c 2)))) (+ (* -1 (/ (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) (* (pow a 4) c))) (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (* (pow a 9) (pow c 2)))))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 9) (pow c 3)))) (/ (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1 (/ (+ (* 2 (* (pow a 3) (pow b_2 4))) (* (pow a 3) (pow b_2 4))) (pow a 4))) (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (pow a 9))) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 9) (pow c 3)))) (/ (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1 (/ (+ (* 2 (* (pow a 3) (pow b_2 4))) (* (pow a 3) (pow b_2 4))) (pow a 4))) (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (pow a 9))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 7)))) (/ (+ (* -1 (/ (* (+ (* -1 (/ (+ (* 2 (* (pow a 3) (pow b_2 4))) (* (pow a 3) (pow b_2 4))) (pow a 4))) (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (pow a 9))) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2)))) (pow a 5))) (+ (* -1 (/ (pow b_2 6) (pow a 2))) (+ (* 1/4 (/ (* c (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2)) (* (pow a 9) (pow (sqrt -1) 2)))) (/ (* (+ (* 2 (* (pow a 3) (pow b_2 4))) (* (pow a 3) (pow b_2 4))) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2)))) (pow a 9))))) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 9) (pow c 3)))) (/ (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* (pow c 6) (- (/ (pow b_2 12) (pow c 6)) (pow a 6)))
(* -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 (+ a (/ (pow b_2 2) c))))
(* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 3)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)))))
(* -1 (* (pow c 5) (+ (* -1 (/ (* (pow a 4) (pow b_2 2)) c)) (pow a 5))))
(* -1 (* (pow c 5) (+ (* -1 (/ (- (* -1 (/ (* (pow a 3) (pow b_2 4)) c)) (* -1 (* (pow a 4) (pow b_2 2)))) c)) (pow a 5))))
(* -1 (* (pow c 5) (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow a 2) (pow b_2 6)) c)) (* -1 (* (pow a 3) (pow b_2 4)))) c)) (* -1 (* (pow a 4) (pow b_2 2)))) c)) (pow a 5))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* (pow a 9) c))) (* (sqrt -1) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (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 (* (pow a 3) (pow b_2 4))) (* -1 (* (pow a 3) (pow b_2 4)))) (pow a 4))) (* -1 (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (pow a 9))))))) (* 1/2 (* (sqrt (/ c (pow a 9))) (* (sqrt -1) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (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 11) c))) (* (sqrt -1) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (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 (* (pow a 3) (pow b_2 4))) (* -1 (* (pow a 3) (pow b_2 4)))) (pow a 4))) (* -1 (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (pow a 9))))))) (* 1/2 (* (sqrt (/ c (pow a 11))) (* (sqrt -1) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))))))) 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)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))))
(* -1 (/ (- (/ (pow b_2 2) (* (pow a 2) c)) (/ 1 a)) c))
(* -1 (/ (- (* -1 (/ (- (/ (pow b_2 4) (* (pow a 3) c)) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* (pow a 4) c)) (/ (pow b_2 4) (pow a 3))) c)) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c))
(* -1 (* c (+ a (* -1 (/ (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) (* (pow a 4) c))))))
(* -1 (* c (+ a (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 3) (pow b_2 4))) (* -1 (* (pow a 3) (pow b_2 4)))) (* (pow a 4) c))) (* -1 (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (* (pow a 9) c)))) (* -1 (/ (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) (pow a 4)))) c)))))
(* -1 (* c (+ a (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (pow a 3) (pow b_2 4))) (* -1 (* (pow a 3) (pow b_2 4)))) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2)))) (* (pow a 9) c))) (+ (* -1 (/ (pow b_2 6) (* (pow a 2) c))) (/ (* (+ (* -1 (/ (+ (* -2 (* (pow a 3) (pow b_2 4))) (* -1 (* (pow a 3) (pow b_2 4)))) (pow a 4))) (* -1 (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (pow a 9)))) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2)))) (* (pow a 5) c)))) (+ (* -1 (/ (+ (* -2 (* (pow a 3) (pow b_2 4))) (* -1 (* (pow a 3) (pow b_2 4)))) (pow a 4))) (* -1 (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (pow a 9))))) c)) (* -1 (/ (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) (pow a 4)))) c)))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 9) (pow c 3)))) (* (sqrt -1) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2)))))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (+ (* -1 (/ (+ (* -2 (* (pow a 3) (pow b_2 4))) (* -1 (* (pow a 3) (pow b_2 4)))) (pow a 4))) (* -1 (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (pow a 9))))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 9) (pow c 3)))) (* (sqrt -1) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2)))))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (/ (+ (* -2 (* (pow a 3) (pow b_2 4))) (* -1 (* (pow a 3) (pow b_2 4)))) (pow a 4))) (* -1 (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (pow a 9))))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (/ (* (+ (* -2 (* (pow a 3) (pow b_2 4))) (* -1 (* (pow a 3) (pow b_2 4)))) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2)))) (pow a 9))) (+ (* -1 (/ (pow b_2 6) (pow a 2))) (+ (* -1/4 (/ (* c (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2)) (pow a 9))) (/ (* (+ (* -1 (/ (+ (* -2 (* (pow a 3) (pow b_2 4))) (* -1 (* (pow a 3) (pow b_2 4)))) (pow a 4))) (* -1 (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (pow a 9)))) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2)))) (pow a 5))))))))) (pow c 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 9) (pow c 3)))) (* (sqrt -1) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2)))))) (* (sqrt (/ a c)) (sqrt -1))))))

Outputs
(* -1/2 (/ (* a c) b_2))
(.f64 (/.f64 (.f64 c a) b_2) #s(literal -1/2 binary64))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 a (/.f64 (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
(* -1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 a (/.f64 (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64) b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(fma.f64 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
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(/ (- (+ (* -1 (/ (pow b_2 6) (* (pow a 4) (pow c 3)))) (/ 1 a)) (+ (* -1 (/ (pow b_2 4) (* (pow a 3) (pow c 2)))) (/ (pow b_2 2) (* (pow a 2) c)))) c)
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(* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1 (/ (+ (* 2 (* (pow a 3) (pow b_2 4))) (* (pow a 3) (pow b_2 4))) (pow a 4))) (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (pow a 9))) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 7)))) (/ (+ (* -1 (/ (* (+ (* -1 (/ (+ (* 2 (* (pow a 3) (pow b_2 4))) (* (pow a 3) (pow b_2 4))) (pow a 4))) (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (pow a 9))) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2)))) (pow a 5))) (+ (* -1 (/ (pow b_2 6) (pow a 2))) (+ (* 1/4 (/ (* c (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2)) (* (pow a 9) (pow (sqrt -1) 2)))) (/ (* (+ (* 2 (* (pow a 3) (pow b_2 4))) (* (pow a 3) (pow b_2 4))) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2)))) (pow a 9))))) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 9) (pow c 3)))) (/ (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
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(* (pow c 6) (- (/ (pow b_2 12) (pow c 6)) (pow a 6)))
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(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)) (/ b_2 (* a c)))))
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(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* (pow a 9) c))) (* (sqrt -1) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2)))))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (neg.f64 c) (-.f64 (.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 9 binary64)) c)))) (.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 b_2 b_2))) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 b_2)) c)))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (/ (+ (* -2 (* (pow a 3) (pow b_2 4))) (* -1 (* (pow a 3) (pow b_2 4)))) (pow a 4))) (* -1 (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (pow a 9))))))) (* 1/2 (* (sqrt (/ c (pow a 9))) (* (sqrt -1) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (neg.f64 c) (-.f64 (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 (neg.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))) (-.f64 (neg.f64 (/.f64 (.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -3 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 b_2 b_2))) #s(literal 2 binary64)) (pow.f64 a #s(literal 9 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 9 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b_2 b_2))))))) c) b_2) c)))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 11) c))) (* (sqrt -1) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 (neg.f64 c) (-.f64 (.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 11 binary64)) c))) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b_2 b_2)))) #s(literal -1/2 binary64) (/.f64 (neg.f64 b_2) a)) c)))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (/ (+ (* -2 (* (pow a 3) (pow b_2 4))) (* -1 (* (pow a 3) (pow b_2 4)))) (pow a 4))) (* -1 (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (pow a 9))))))) (* 1/2 (* (sqrt (/ c (pow a 11))) (* (sqrt -1) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 (neg.f64 c) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 (neg.f64 b_2) a) (/.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))) (-.f64 (neg.f64 (/.f64 (.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -3 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 b_2 b_2))) #s(literal 2 binary64)) (pow.f64 a #s(literal 9 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 11 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 b_2 b_2)))))) c)) c)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(.f64 (neg.f64 c) (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)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))))
(.f64 (neg.f64 c) (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 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))))
(.f64 (neg.f64 c) (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 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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 (pow.f64 b_2 #s(literal 6 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 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)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))))))
(* -1 (/ (- (/ (pow b_2 2) (* (pow a 2) c)) (/ 1 a)) c))
(/.f64 (neg.f64 (-.f64 (.f64 (/.f64 b_2 (.f64 a a)) (/.f64 b_2 c)) (/.f64 #s(literal 1 binary64) a))) c)
(* -1 (/ (- (* -1 (/ (- (/ (pow b_2 4) (* (pow a 3) c)) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c))
(/.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 (pow.f64 a #s(literal 3 binary64)) c)) (.f64 (/.f64 b_2 a) (/.f64 b_2 a)))) c) (/.f64 #s(literal 1 binary64) a))) c)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* (pow a 4) c)) (/ (pow b_2 4) (pow a 3))) c)) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c))
(/.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (.f64 (pow.f64 a #s(literal 4 binary64)) c)) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 a #s(literal 3 binary64))))) c) (.f64 (/.f64 b_2 a) (/.f64 b_2 a)))) c) (/.f64 #s(literal 1 binary64) a))) c)
(* -1 (* c (+ a (* -1 (/ (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) (* (pow a 4) c))))))
(.f64 (neg.f64 c) (-.f64 a (.f64 (/.f64 #s(literal 3 binary64) (pow.f64 a #s(literal 4 binary64))) (.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 (.f64 b_2 b_2) c)))))
(* -1 (* c (+ a (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 3) (pow b_2 4))) (* -1 (* (pow a 3) (pow b_2 4)))) (* (pow a 4) c))) (* -1 (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (* (pow a 9) c)))) (* -1 (/ (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) (pow a 4)))) c)))))
(.f64 (neg.f64 c) (-.f64 a (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal -3 binary64) c) (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 b_2 b_2))) #s(literal 2 binary64)) (.f64 (pow.f64 a #s(literal 9 binary64)) c))) (/.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b_2 b_2))) (pow.f64 a #s(literal 4 binary64)))) c)))
(* -1 (* c (+ a (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* (pow a 3) (pow b_2 4))) (* -1 (* (pow a 3) (pow b_2 4)))) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2)))) (* (pow a 9) c))) (+ (* -1 (/ (pow b_2 6) (* (pow a 2) c))) (/ (* (+ (* -1 (/ (+ (* -2 (* (pow a 3) (pow b_2 4))) (* -1 (* (pow a 3) (pow b_2 4)))) (pow a 4))) (* -1 (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (pow a 9)))) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2)))) (* (pow a 5) c)))) (+ (* -1 (/ (+ (* -2 (* (pow a 3) (pow b_2 4))) (* -1 (* (pow a 3) (pow b_2 4)))) (pow a 4))) (* -1 (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (pow a 9))))) c)) (* -1 (/ (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) (pow a 4)))) c)))))
(.f64 (neg.f64 c) (-.f64 a (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (fma.f64 (-.f64 (neg.f64 (/.f64 (.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -3 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 b_2 b_2))) #s(literal 2 binary64)) (pow.f64 a #s(literal 9 binary64)))) (.f64 (/.f64 #s(literal 3 binary64) (pow.f64 a #s(literal 5 binary64))) (.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 (.f64 b_2 b_2) c))) (/.f64 (neg.f64 (pow.f64 b_2 #s(literal 6 binary64))) (.f64 (.f64 a a) c))) (.f64 (.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -3 binary64)) (.f64 (/.f64 #s(literal 3 binary64) (pow.f64 a #s(literal 9 binary64))) (.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 (.f64 b_2 b_2) c))))) (-.f64 (neg.f64 (/.f64 (.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -3 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 b_2 b_2))) #s(literal 2 binary64)) (pow.f64 a #s(literal 9 binary64))))) c) #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 b_2 b_2))) (pow.f64 a #s(literal 4 binary64)))) c)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 9) (pow c 3)))) (* (sqrt -1) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2)))))) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 b_2 b_2))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 9 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)))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (+ (* -1 (/ (+ (* -2 (* (pow a 3) (pow b_2 4))) (* -1 (* (pow a 3) (pow b_2 4)))) (pow a 4))) (* -1 (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (pow a 9))))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 9) (pow c 3)))) (* (sqrt -1) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2)))))) (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) a)))) (.f64 (-.f64 (neg.f64 (/.f64 (.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -3 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 b_2 b_2))) #s(literal 2 binary64)) (pow.f64 a #s(literal 9 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 b_2 b_2))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 9 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))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (/ (+ (* -2 (* (pow a 3) (pow b_2 4))) (* -1 (* (pow a 3) (pow b_2 4)))) (pow a 4))) (* -1 (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (pow a 9))))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (/ (* (+ (* -2 (* (pow a 3) (pow b_2 4))) (* -1 (* (pow a 3) (pow b_2 4)))) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2)))) (pow a 9))) (+ (* -1 (/ (pow b_2 6) (pow a 2))) (+ (* -1/4 (/ (* c (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2)) (pow a 9))) (/ (* (+ (* -1 (/ (+ (* -2 (* (pow a 3) (pow b_2 4))) (* -1 (* (pow a 3) (pow b_2 4)))) (pow a 4))) (* -1 (/ (pow (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2))) 2) (pow a 9)))) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2)))) (pow a 5))))))))) (pow c 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 9) (pow c 3)))) (* (sqrt -1) (+ (* 2 (* (pow a 4) (pow b_2 2))) (* (pow a 4) (pow b_2 2)))))) (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (-.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 b_2 b_2))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 9 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 #s(literal 1 binary64) (.f64 c a)))) (.f64 (-.f64 (-.f64 (fma.f64 (.f64 c (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 b_2 b_2))) #s(literal 2 binary64)) (pow.f64 a #s(literal 9 binary64)))) #s(literal -1/4 binary64) (.f64 (-.f64 (neg.f64 (/.f64 (.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -3 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 b_2 b_2))) #s(literal 2 binary64)) (pow.f64 a #s(literal 9 binary64)))) (/.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 b_2 b_2))) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (.f64 a a))) (.f64 (.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -3 binary64)) (/.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 b_2 b_2))) (pow.f64 a #s(literal 9 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (-.f64 (neg.f64 (/.f64 (.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -3 binary64)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 b_2 b_2))) #s(literal 2 binary64)) (pow.f64 a #s(literal 9 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) (pow.f64 c #s(literal 3 binary64)))))

rewrite88.0ms (1.1%)

Memory

-23.7MiB live, 99.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	352
0	85	352
1	324	321
0	2120	315

Stop Event

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

Counts

23 → 345

Calls

Call 1

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

Outputs
(.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))))))
(.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))))))
(/.f64 (-.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) (.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) (neg.f64 b_2)))
(/.f64 (neg.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))))) (neg.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))))))))
(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) #s(literal 3/2 binary64))) (+.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) (-.f64 (.f64 b_2 b_2) (.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) (neg.f64 b_2)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) #s(literal 3/2 binary64))) (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))))) (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))))))) (fma.f64 #s(literal -1 binary64) (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) #s(literal 3/2 binary64)))))
(fma.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) #s(literal 1/4 binary64)) (neg.f64 b_2))
(fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))
(fma.f64 b_2 #s(literal -1 binary64) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))
(-.f64 (+.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) #s(literal 0 binary64)) b_2)
(-.f64 (/.f64 (.f64 b_2 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))))) (/.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))))))
(-.f64 #s(literal 0 binary64) (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))))
(-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)
(+.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) (neg.f64 b_2))
(+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))
(.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) b_2))
(.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) b_2)) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) b_2) a))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) b_2) (pow.f64 a #s(literal -1 binary64)))
(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) #s(literal -1 binary64)) a)
(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) (pow.f64 a #s(literal -1 binary64))) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))))))
(/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) #s(literal 3/2 binary64))) (pow.f64 a #s(literal -1 binary64))) (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))))))
(/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) b_2) #s(literal 1 binary64)) a)
(/.f64 (neg.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2))) (neg.f64 (neg.f64 a)))
(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) #s(literal 1 binary64)) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))) a))
(/.f64 (.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))))))) a))
(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) #s(literal 3/2 binary64))) (.f64 a (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))))))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) (neg.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2))))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a)
(neg.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)) a))
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) (neg.f64 a)))
(*.f64 #s(literal -1 binary64) b_2)
(*.f64 b_2 #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 b_2)) (+.f64 #s(literal 0 binary64) b_2))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2))))
(neg.f64 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(+.f64 #s(literal 0 binary64) (neg.f64 b_2))
(.f64 (pow.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))) #s(literal 1/4 binary64)))
(pow.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (.f64 c a) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))))
(/.f64 (hypot.f64 (pow.f64 (.f64 c (neg.f64 a)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (.f64 (fma.f64 c a (*.f64 b_2 b_2)) a) c (pow.f64 b_2 #s(literal 4 binary64)))))
(/.f64 (hypot.f64 (pow.f64 (.f64 c (neg.f64 a)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (.f64 c (neg.f64 a)) (-.f64 (.f64 c (neg.f64 a)) (.f64 b_2 b_2)) (pow.f64 b_2 #s(literal 4 binary64)))))
(sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))
(exp.f64 (.f64 (log.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) #s(literal 1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
(.f64 (.f64 #s(literal -2 binary64) b_2) (pow.f64 a #s(literal -1 binary64)))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(.f64 b_2 (.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 b_2) #s(literal -2 binary64)) (neg.f64 a))
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 b_2)) (neg.f64 a))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal -2 binary64) b_2)))
(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 a)) (neg.f64 b_2))
(*.f64 (pow.f64 a #s(literal -1 binary64)) b_2)
(*.f64 #s(literal 1 binary64) (/.f64 b_2 a))
(*.f64 #s(literal -1 binary64) (/.f64 b_2 (neg.f64 a)))
(*.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(*.f64 b_2 (pow.f64 a #s(literal -1 binary64)))
(pow.f64 (/.f64 a b_2) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 b_2) #s(literal -1 binary64)) a)
(/.f64 (*.f64 b_2 #s(literal 1 binary64)) a)
(/.f64 (neg.f64 (neg.f64 b_2)) (neg.f64 (neg.f64 a)))
(/.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 b_2 #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b_2) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a b_2))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a b_2)))
(/.f64 (neg.f64 b_2) (neg.f64 a))
(/.f64 b_2 a)
(neg.f64 (/.f64 (neg.f64 b_2) a))
(neg.f64 (/.f64 b_2 (neg.f64 a)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 b_2 (neg.f64 a)))
(.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) c)))
(.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) c))) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) c)) a))
(.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) c)) (pow.f64 a #s(literal -1 binary64)))
(pow.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) c))) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) c))) #s(literal -1 binary64)) a)
(/.f64 (.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) c)) #s(literal 1 binary64)) a)
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) c)))) (neg.f64 (neg.f64 a)))
(/.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) c))) (neg.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) c))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) c))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) c)))))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) c)) a)
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) c))) a))
(neg.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) c)) (neg.f64 a)))
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) c))
(.f64 (.f64 c (/.f64 a b_2)) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal -1/2 binary64) c) (/.f64 a b_2))
(.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) c)
(.f64 #s(literal -1/2 binary64) (.f64 (/.f64 a b_2) c))
(.f64 (/.f64 a b_2) (.f64 #s(literal -1/2 binary64) c))
(.f64 c (.f64 #s(literal -1/2 binary64) (/.f64 a b_2)))
(.f64 a (.f64 (pow.f64 b_2 #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) c)))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2)
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) c)) (/.f64 b_2 a))
(/.f64 (.f64 (neg.f64 a) (.f64 #s(literal -1/2 binary64) c)) (neg.f64 b_2))
(/.f64 (.f64 a (.f64 #s(literal -1/2 binary64) c)) b_2)
(/.f64 (.f64 c (.f64 #s(literal -1/2 binary64) a)) b_2)
(.f64 (.f64 #s(literal -1/2 binary64) a) (pow.f64 b_2 #s(literal -1 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 a b_2))
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
(*.f64 a (/.f64 #s(literal -1/2 binary64) b_2))
(.f64 a (.f64 (pow.f64 b_2 #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (neg.f64 a) #s(literal -1/2 binary64)) (neg.f64 b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 a)) (neg.f64 b_2))
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) a)) (neg.f64 b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2)
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) a)))
(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 a))
(.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))
(.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))
(.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (fma.f64 c a (.f64 b_2 b_2)))
(pow.f64 (.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal -1/2 binary64)))
(/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1/2 binary64)))
(/.f64 (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1/2 binary64)))
(/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 c a (*.f64 b_2 b_2))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c a (*.f64 b_2 b_2)))))
(/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))
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(/.f64 (.f64 (-.f64 (pow.f64 b_2 #s(literal 36 binary64)) (pow.f64 (.f64 c a) #s(literal 18 binary64))) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal -1 binary64))) (.f64 (+.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64)) (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 12 binary64))) (pow.f64 b_2 #s(literal 24 binary64))) (+.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 c a (*.f64 b_2 b_2)) a) c) #s(literal 2 binary64)))))
(/.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (fma.f64 c a (.f64 b_2 b_2)))) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (fma.f64 c a (.f64 b_2 b_2))))) (.f64 (hypot.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) a) c)) (hypot.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) a) c))))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (fma.f64 c a (.f64 b_2 b_2)))) (neg.f64 (+.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 c a (*.f64 b_2 b_2)) a) c) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) a) c) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) a) c) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (fma.f64 c a (*.f64 b_2 b_2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (fma.f64 c a (.f64 b_2 b_2))) (+.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 c a (*.f64 b_2 b_2)) a) c) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) a) c) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (fma.f64 c a (*.f64 b_2 b_2))))))
(neg.f64 (/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (fma.f64 c a (.f64 b_2 b_2)))) (+.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 c a (*.f64 b_2 b_2)) a) c) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (+.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 c a (*.f64 b_2 b_2)) a) c) #s(literal 2 binary64))))))
(sqrt.f64 (.f64 (/.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (fma.f64 c a (.f64 b_2 b_2))) (+.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) a) c) #s(literal 2 binary64)))) (/.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (fma.f64 c a (.f64 b_2 b_2))) (+.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 c a (*.f64 b_2 b_2)) a) c) #s(literal 2 binary64))))))
(.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (fma.f64 c a (.f64 b_2 b_2))) (+.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) a) c) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (fma.f64 c a (.f64 b_2 b_2))) (+.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 c a (*.f64 b_2 b_2)) a) c) #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal -1 binary64)) (+.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) a) c) #s(literal 2 binary64))))))
(.f64 (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal -1 binary64)) (+.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) a) c) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (fma.f64 c a (.f64 b_2 b_2)))) (/.f64 #s(literal 1 binary64) (hypot.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) a) c))))
(.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (fma.f64 c a (.f64 b_2 b_2)))) (sqrt.f64 (pow.f64 (+.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) a) c) #s(literal 2 binary64))) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (fma.f64 c a (.f64 b_2 b_2)))) (pow.f64 (pow.f64 (+.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) a) c) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (fma.f64 c a (.f64 b_2 b_2))) (+.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 c a (*.f64 b_2 b_2)) a) c) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (fma.f64 c a (.f64 b_2 b_2))))) (neg.f64 (hypot.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 c a (*.f64 b_2 b_2)) a) c))))
(/.f64 (sqrt.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (fma.f64 c a (.f64 b_2 b_2))))) (sqrt.f64 (neg.f64 (+.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 c a (*.f64 b_2 b_2)) a) c) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (fma.f64 c a (.f64 b_2 b_2)))) (hypot.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 c a (*.f64 b_2 b_2)) a) c)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) a) c)) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (fma.f64 c a (*.f64 b_2 b_2))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) a) c) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (fma.f64 c a (*.f64 b_2 b_2))))))
(sqrt.f64 (/.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (fma.f64 c a (.f64 b_2 b_2))) (+.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 c a (*.f64 b_2 b_2)) a) c) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (fma.f64 c a (.f64 b_2 b_2))) (+.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) a) c) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(.f64 (-.f64 (pow.f64 b_2 #s(literal 24 binary64)) (pow.f64 (.f64 c a) #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 b_2 #s(literal 12 binary64)))))
(.f64 (-.f64 (pow.f64 b_2 #s(literal 36 binary64)) (pow.f64 (.f64 c a) #s(literal 18 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64)) (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 12 binary64))) (pow.f64 b_2 #s(literal 24 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 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 24 binary64)) (.f64 (neg.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64))) (neg.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64))))) (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (neg.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64)))))
(/.f64 (+.f64 (pow.f64 b_2 #s(literal 36 binary64)) (pow.f64 (neg.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 b_2 #s(literal 24 binary64)) (-.f64 (.f64 (neg.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64))) (neg.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64)))) (.f64 (pow.f64 b_2 #s(literal 12 binary64)) (neg.f64 (pow.f64 (.f64 c a) #s(literal 6 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 (.f64 c a) #s(literal 6 binary64)) (pow.f64 b_2 #s(literal 12 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 #s(literal 36 binary64)) (pow.f64 (.f64 c a) #s(literal 18 binary64)))) (neg.f64 (+.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64)) (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (*.f64 c a) #s(literal 12 binary64))) (pow.f64 b_2 #s(literal 24 binary64)))))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 24 binary64)) (pow.f64 (.f64 c a) #s(literal 12 binary64))) (+.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64)) (pow.f64 b_2 #s(literal 12 binary64))))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 36 binary64)) (pow.f64 (.f64 c a) #s(literal 18 binary64))) (+.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64)) (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (*.f64 c a) #s(literal 12 binary64))) (pow.f64 b_2 #s(literal 24 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64)) (pow.f64 b_2 #s(literal 12 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 (fma.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64)) (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 12 binary64))) (pow.f64 b_2 #s(literal 24 binary64))) (-.f64 (pow.f64 b_2 #s(literal 36 binary64)) (pow.f64 (*.f64 c a) #s(literal 18 binary64)))))
(fma.f64 (neg.f64 (pow.f64 c #s(literal 6 binary64))) (pow.f64 a #s(literal 6 binary64)) (pow.f64 b_2 #s(literal 12 binary64)))
(fma.f64 (pow.f64 (.f64 c (neg.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 12 binary64)))
(fma.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 b_2 #s(literal 6 binary64)) (neg.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64))))
(fma.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 (.f64 c (neg.f64 a)) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 12 binary64)))
(fma.f64 (pow.f64 c #s(literal 6 binary64)) (neg.f64 (pow.f64 a #s(literal 6 binary64))) (pow.f64 b_2 #s(literal 12 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 b_2 #s(literal 12 binary64)))
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 24 binary64)) (+.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64)) (pow.f64 b_2 #s(literal 12 binary64)))) (/.f64 (pow.f64 (.f64 c a) #s(literal 12 binary64)) (+.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 b_2 #s(literal 12 binary64)))))
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 36 binary64)) (+.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64)) (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 12 binary64))) (pow.f64 b_2 #s(literal 24 binary64)))) (/.f64 (pow.f64 (.f64 c a) #s(literal 18 binary64)) (+.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 6 binary64)) (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (*.f64 c a) #s(literal 12 binary64))) (pow.f64 b_2 #s(literal 24 binary64)))))
(-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (*.f64 c a) #s(literal 6 binary64)))
(+.f64 (neg.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64))) (pow.f64 b_2 #s(literal 12 binary64)))
(+.f64 (pow.f64 b_2 #s(literal 12 binary64)) (neg.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64))))

eval111.0ms (1.4%)

Memory: -8.8MiB live, 154.6MiB allocated
Compiler: Compiled 36 766 to 3 962 computations (89.2% saved)

prune25.0ms (0.3%)

Memory

25.4MiB live, 64.1MiB allocated

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	708	17	725
Fresh	5	3	8
Picked	4	1	5
Done	0	0	0
Total	717	21	738

Accuracy

92.8%

Counts

738 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.9%	(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) #s(literal 3/2 binary64))) (.f64 a (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))))))
	29.8%	(/.f64 (/.f64 (-.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) (.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) (neg.f64 b_2))) a)
	24.2%	(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))))))
▶	56.5%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a)
	42.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (+.f64 #s(literal 0 binary64) a)) c)))) a)
	34.5%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) #s(approx (pow (+ (* c a) (* b_2 b_2)) -1) (/.f64 #s(literal 1 binary64) (*.f64 c a)))))) a)
	34.7%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1)) (*.f64 (neg.f64 a) c)))) a)
	53.2%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (-.f64 (.f64 b_2 (/.f64 b_2 c)) a) c)))) a)
	52.0%	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) #s(literal 1/2 binary64)))) a)
▶	9.8%	(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (+ (* b_2 b_2) (* (neg a) c))) (.f64 (fma.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 1 binary64)) b_2))) a)
	29.8%	(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))))))) a)
	23.5%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2)) a)
▶	23.0%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
	38.2%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
	56.4%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)))
▶	56.4%	(.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) b_2)) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
	23.0%	(.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) c))) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
	38.1%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -2 binary64) (/.f64 a b_2)))
▶	31.1%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
✓	38.2%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
	38.1%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (neg.f64 a)) (neg.f64 b_2))))

Compiler

Compiled 885 to 602 computations (32% saved)

simplify79.0ms (1%)

Memory

-12.6MiB live, 69.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (+ (* b_2 b_2) (* (neg a) c))) (.f64 (fma.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 1 binary64)) b_2))) a)
cost-diff	128	(+.f64 (neg.f64 b_2) #s(approx (sqrt (+ (* b_2 b_2) (* (neg a) c))) (.f64 (fma.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 1 binary64)) b_2)))
cost-diff	1024	(.f64 (fma.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 1 binary64)) b_2)
cost-diff	0	(-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)
cost-diff	128	(/.f64 #s(literal 1 binary64) (neg.f64 a))
cost-diff	128	(neg.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2))
cost-diff	320	(.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) b_2)) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
cost-diff	0	(*.f64 a (/.f64 #s(literal -1/2 binary64) b_2))
cost-diff	0	(.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)
cost-diff	0	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c))
cost-diff	0	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
cost-diff	0	(/.f64 c b_2)
cost-diff	0	(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
cost-diff	0	(fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))
cost-diff	0	(sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))
cost-diff	0	(-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)
cost-diff	0	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	315
0	64	305
1	114	302
2	240	301
3	617	301
4	2021	289
5	5082	289
6	7440	289
0	8048	285

Stop Event

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

Calls

Call 1

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

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

localize205.0ms (2.6%)

Memory

-5.7MiB live, 225.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	3.781833367402006	(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (+ (* b_2 b_2) (* (neg a) c))) (.f64 (fma.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 1 binary64)) b_2))) a)
accuracy	6.331150409076227	(.f64 (fma.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 1 binary64)) b_2)
accuracy	11.149042284327853	(+.f64 (neg.f64 b_2) #s(approx (sqrt (+ (* b_2 b_2) (* (neg a) c))) (.f64 (fma.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 1 binary64)) b_2)))
accuracy	44.42696365868558	#s(approx (sqrt (+ (* b_2 b_2) (* (neg a) c))) (.f64 (fma.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 1 binary64)) b_2))
accuracy	0.7499917428166807	(fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))
accuracy	3.928649627252985	(.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) b_2)) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
accuracy	11.149042284327853	(-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)
accuracy	24.931708731555815	(sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))
accuracy	0.1640625	(*.f64 a (/.f64 #s(literal -1/2 binary64) b_2))
accuracy	3.781833367402006	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
accuracy	6.112658759740547	(.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)
accuracy	44.05533154476174	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c))
accuracy	0.0	(/.f64 c b_2)
accuracy	0.0	(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
accuracy	44.07152195928314	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
accuracy	0.7499917428166807	(fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))
accuracy	3.781833367402006	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a)
accuracy	11.149042284327853	(-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)
accuracy	24.931708731555815	(sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))

Samples

60.0ms	182×	0	valid
22.0ms	35×	2	valid
15.0ms	32×	1	valid
7.0ms	7×	3	valid

Compiler

Compiled 582 to 79 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 21.0ms (30.2% of total)

ival-div: 19.0ms (27.3% of total)

ival-sqrt: 8.0ms (11.5% of total)

ival-add: 8.0ms (11.5% of total)

adjust: 6.0ms (8.6% of total)

ival-sub: 4.0ms (5.8% of total)

ival-neg: 4.0ms (5.8% of total)

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

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

exact: 0.0ms (0% of total)

series33.0ms (0.4%)

Memory

27.7MiB live, 27.7MiB allocated

Counts

19 → 135

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	c	@	inf	((/ (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2) a) (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2) (sqrt (+ (* b_2 b_2) (* c (neg a)))) (+ (* b_2 b_2) (* c (neg a))) (/ (+ (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)))) (* (* a (/ -1/2 b_2)) c) (* a (/ -1/2 b_2)) (* (neg (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2)) (/ 1 (neg a))) (neg (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2)) (/ 1 (neg a)) (* (+ (* (* (/ a b_2) -1/2) (/ c b_2)) 1) b_2) (+ (neg b_2) (sqrt (+ (* b_2 b_2) (* (neg a) c)))) (/ (+ (neg b_2) (sqrt (+ (* b_2 b_2) (* (neg a) c)))) a) (neg b_2) (sqrt (+ (* b_2 b_2) (* (neg a) c))))
3.0ms	b_2	@	inf	((/ (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2) a) (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2) (sqrt (+ (* b_2 b_2) (* c (neg a)))) (+ (* b_2 b_2) (* c (neg a))) (/ (+ (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)))) (* (* a (/ -1/2 b_2)) c) (* a (/ -1/2 b_2)) (* (neg (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2)) (/ 1 (neg a))) (neg (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2)) (/ 1 (neg a)) (* (+ (* (* (/ a b_2) -1/2) (/ c b_2)) 1) b_2) (+ (neg b_2) (sqrt (+ (* b_2 b_2) (* (neg a) c)))) (/ (+ (neg b_2) (sqrt (+ (* b_2 b_2) (* (neg a) c)))) a) (neg b_2) (sqrt (+ (* b_2 b_2) (* (neg a) c))))
3.0ms	a	@	inf	((/ (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2) a) (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2) (sqrt (+ (* b_2 b_2) (* c (neg a)))) (+ (* b_2 b_2) (* c (neg a))) (/ (+ (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)))) (* (* a (/ -1/2 b_2)) c) (* a (/ -1/2 b_2)) (* (neg (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2)) (/ 1 (neg a))) (neg (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2)) (/ 1 (neg a)) (* (+ (* (* (/ a b_2) -1/2) (/ c b_2)) 1) b_2) (+ (neg b_2) (sqrt (+ (* b_2 b_2) (* (neg a) c)))) (/ (+ (neg b_2) (sqrt (+ (* b_2 b_2) (* (neg a) c)))) a) (neg b_2) (sqrt (+ (* b_2 b_2) (* (neg a) c))))
3.0ms	c	@	-inf	((/ (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2) a) (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2) (sqrt (+ (* b_2 b_2) (* c (neg a)))) (+ (* b_2 b_2) (* c (neg a))) (/ (+ (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)))) (* (* a (/ -1/2 b_2)) c) (* a (/ -1/2 b_2)) (* (neg (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2)) (/ 1 (neg a))) (neg (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2)) (/ 1 (neg a)) (* (+ (* (* (/ a b_2) -1/2) (/ c b_2)) 1) b_2) (+ (neg b_2) (sqrt (+ (* b_2 b_2) (* (neg a) c)))) (/ (+ (neg b_2) (sqrt (+ (* b_2 b_2) (* (neg a) c)))) a) (neg b_2) (sqrt (+ (* b_2 b_2) (* (neg a) c))))
3.0ms	b_2	@	0	((/ (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2) a) (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2) (sqrt (+ (* b_2 b_2) (* c (neg a)))) (+ (* b_2 b_2) (* c (neg a))) (/ (+ (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)))) (* (* a (/ -1/2 b_2)) c) (* a (/ -1/2 b_2)) (* (neg (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2)) (/ 1 (neg a))) (neg (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2)) (/ 1 (neg a)) (* (+ (* (* (/ a b_2) -1/2) (/ c b_2)) 1) b_2) (+ (neg b_2) (sqrt (+ (* b_2 b_2) (* (neg a) c)))) (/ (+ (neg b_2) (sqrt (+ (* b_2 b_2) (* (neg a) c)))) a) (neg b_2) (sqrt (+ (* b_2 b_2) (* (neg a) c))))

simplify183.0ms (2.4%)

Memory

19.5MiB live, 170.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	642	3777
1	2067	3735
2	7005	3705
0	8029	3532

Stop Event

1×	iter limit
1×	node limit

Counts

135 → 134

Calls

Call 1

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

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

rewrite229.0ms (2.9%)

Memory

-34.5MiB live, 216.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	235
0	64	225
1	247	222
2	1570	222
0	8398	222

Stop Event

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

Counts

19 → 954

Calls

Call 1

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

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

eval225.0ms (2.9%)

Memory: 33.7MiB live, 258.8MiB allocated
Compiler: Compiled 42 299 to 4 013 computations (90.5% saved)

prune49.0ms (0.6%)

Memory

-5.1MiB live, 83.8MiB allocated

Pruning

28 alts after pruning (24 fresh and 4 done)

	Pruned	Kept	Total
New	1 165	21	1 186
Fresh	12	3	15
Picked	2	3	5
Done	0	1	1
Total	1 179	28	1 207

Accuracy

92.9%

Counts

1 207 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.8%	(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a (neg.f64 (.f64 a b_2))) (*.f64 a a))
	29.8%	(/.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) (.f64 b_2 b_2)) (+.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)) a)
	3.1%	(/.f64 (-.f64 (.f64 b_2 b_2) (pow.f64 #s(approx (sqrt (+ ( b_2 b_2) (* (neg a) c))) (.f64 (fma.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 1 binary64)) b_2)) #s(literal 2 binary64))) (.f64 a (-.f64 (neg.f64 b_2) #s(approx (sqrt (+ ( b_2 b_2) (* (neg a) c))) (.f64 (fma.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 1 binary64)) b_2)))))
✓	56.5%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a)
	53.2%	(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* b_2 b_2) (* c (neg a))) (*.f64 (fma.f64 b_2 (/.f64 b_2 c) (neg.f64 a)) c))) b_2) a)
	34.7%	(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* b_2 b_2) (* c (neg a))) (*.f64 (neg.f64 a) c))) b_2) a)
	9.8%	(/.f64 (-.f64 #s(approx (sqrt (+ (* b_2 b_2) (* (neg a) c))) (.f64 (fma.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 1 binary64)) b_2)) b_2) a)
	42.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (+.f64 #s(literal 0 binary64) a)) c)))) a)
	52.0%	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) #s(literal 1/2 binary64)))) a)
	6.4%	(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (+ (* b_2 b_2) (* (neg a) c))) #s(approx (* (+ (* (* (/ a b_2) -1/2) (/ c b_2)) 1) b_2) (*.f64 (fma.f64 (/.f64 c b_2) #s(literal -1/2 binary64) (/.f64 b_2 a)) a)))) a)
	38.2%	(/.f64 #s(approx (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2) (*.f64 #s(literal -2 binary64) b_2)) a)
✓	23.0%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
▶	56.5%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)))
	34.8%	(.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a (neg.f64 (.f64 a b_2))) (/.f64 #s(literal 1 binary64) (.f64 a a)))
	29.8%	(.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) (.f64 b_2 b_2)) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))))) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
	26.4%	(.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) b_2)) (exp.f64 (*.f64 (log.f64 (neg.f64 a)) #s(literal -1 binary64))))
▶	34.6%	(.f64 (neg.f64 (-.f64 (sqrt.f64 #s(approx (+ ( b_2 b_2) (* c (neg a))) (*.f64 (neg.f64 a) c))) b_2)) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
	9.9%	(.f64 (neg.f64 (-.f64 #s(approx (sqrt (+ ( b_2 b_2) (* c (neg a)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 c b_2) b_2)) b_2)) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
	23.0%	(.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))) (/.f64 #s(literal -1 binary64) a))
	38.1%	(.f64 #s(approx (neg (- (sqrt (+ ( b_2 b_2) (* c (neg a)))) b_2)) (*.f64 #s(literal 2 binary64) b_2)) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
	26.5%	(exp.f64 (.f64 (log.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2))) #s(literal -1 binary64)))
	9.9%	(exp.f64 (.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)))) #s(literal -1 binary64)))
▶	28.4%	#s(approx (/ (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2) a) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 c c) b_2)) (/.f64 a b_2) (*.f64 #s(literal -1/2 binary64) c)) b_2))
	38.1%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -2 binary64) (/.f64 a b_2)))
✓	31.1%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
▶	31.0%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
▶	15.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
✓	38.2%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))

Compiler

Compiled 1 195 to 812 computations (32.1% saved)

simplify151.0ms (1.9%)

Memory

-8.5MiB live, 65.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (exp.f64 (.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
cost-diff	320	(*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))
cost-diff	12800	(exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64)))
cost-diff	0	(.f64 #s(literal -1/8 binary64) (/.f64 (.f64 c c) b_2))
cost-diff	0	(/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 c c) b_2)) (/.f64 a b_2) (*.f64 #s(literal -1/2 binary64) c)) b_2)
cost-diff	0	#s(approx (/ (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2) a) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 c c) b_2)) (/.f64 a b_2) (*.f64 #s(literal -1/2 binary64) c)) b_2))
cost-diff	320	(fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 c c) b_2)) (/.f64 a b_2) (*.f64 #s(literal -1/2 binary64) c))
cost-diff	0	(-.f64 (sqrt.f64 #s(approx (+ (* b_2 b_2) (* c (neg a))) (*.f64 (neg.f64 a) c))) b_2)
cost-diff	128	(/.f64 #s(literal 1 binary64) (neg.f64 a))
cost-diff	128	(neg.f64 (-.f64 (sqrt.f64 #s(approx (+ (* b_2 b_2) (* c (neg a))) (*.f64 (neg.f64 a) c))) b_2))
cost-diff	320	(.f64 (neg.f64 (-.f64 (sqrt.f64 #s(approx (+ ( b_2 b_2) (* c (neg a))) (*.f64 (neg.f64 a) c))) b_2)) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) b_2)
cost-diff	0	(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
cost-diff	0	(sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))
cost-diff	0	(-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)
cost-diff	0	(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	328
0	79	310
1	132	306
2	247	301
3	610	298
4	1685	296
5	3943	296
6	5959	296
7	6644	296
8	6956	296
9	7097	296
10	7181	296
11	7680	295
0	8034	292

Stop Event

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

Calls

Call 1

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

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

localize412.0ms (5.3%)

Memory

9.9MiB live, 292.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 (exp.f64 (.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))) #s(literal -1/2 binary64))
accuracy	1.9815599787725686	(exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64)))
accuracy	7.263999278903799	(log.f64 (/.f64 b_2 c))
accuracy	19.773073315826647	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
accuracy	0.23938885558953957	(/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 c c) b_2)) (/.f64 a b_2) (*.f64 #s(literal -1/2 binary64) c)) b_2)
accuracy	2.2769850394158855	(fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 c c) b_2)) (/.f64 a b_2) (*.f64 #s(literal -1/2 binary64) c))
accuracy	3.789540956065297	(/.f64 (*.f64 c c) b_2)
accuracy	19.75109922933427	#s(approx (/ (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2) a) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 c c) b_2)) (/.f64 a b_2) (*.f64 #s(literal -1/2 binary64) c)) b_2))
accuracy	1.4645739906237076	(.f64 (neg.f64 (-.f64 (sqrt.f64 #s(approx (+ ( b_2 b_2) (* c (neg a))) (*.f64 (neg.f64 a) c))) b_2)) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
accuracy	6.732871714124092	(-.f64 (sqrt.f64 #s(approx (+ (* b_2 b_2) (* c (neg a))) (*.f64 (neg.f64 a) c))) b_2)
accuracy	13.179854847889489	(sqrt.f64 #s(approx (+ (* b_2 b_2) (* c (neg a))) (*.f64 (neg.f64 a) c)))
accuracy	18.22814356527651	#s(approx (+ (* b_2 b_2) (* c (neg a))) (*.f64 (neg.f64 a) c))
accuracy	0.0	(/.f64 #s(literal -1/2 binary64) b_2)
accuracy	0.08203125	(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
accuracy	19.773073315826647	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
accuracy	0.26071194444178486	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)))
accuracy	1.2275627528735176	(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2))
accuracy	6.732871714124092	(-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)
accuracy	13.179854847889489	(sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))

Samples

107.0ms	134×	0	invalid
25.0ms	82×	0	valid
16.0ms	18×	1	valid
16.0ms	18×	2	valid
4.0ms	4×	3	valid

Compiler

Compiled 607 to 97 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

ival-mult: 64.0ms (44.7% of total)

ival-neg: 24.0ms (16.8% of total)

ival-div: 17.0ms (11.9% of total)

ival-sub: 13.0ms (9.1% of total)

ival-sqrt: 7.0ms (4.9% of total)

adjust: 6.0ms (4.2% of total)

ival-add: 6.0ms (4.2% of total)

ival-exp: 3.0ms (2.1% of total)

ival-log: 3.0ms (2.1% of total)

exact: 1.0ms (0.7% of total)

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

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

series203.0ms (2.6%)

Memory

-13.4MiB live, 179.8MiB allocated

Counts

23 → 185

Calls

Call 1

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

Calls

9 calls:

Time	Variable		Point	Expression
71.0ms	b_2	@	0	((/ 1 (/ a (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2))) (/ a (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2)) (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ -1/2 b_2) c) (/ -1/2 b_2) (* (neg (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2)) (/ 1 (neg a))) (neg (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2)) (/ 1 (neg a)) (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2) (+ (* (* -1/8 (/ (* c c) b_2)) (/ a b_2)) (* -1/2 c)) (/ (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2) a) (/ (+ (* (* -1/8 (/ (* c c) b_2)) (/ a b_2)) (* -1/2 c)) b_2) (* -1/8 (/ (* c c) b_2)) (exp (* (log (/ b_2 c)) -1)) (* (log (/ b_2 c)) -1) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (exp (* (log (/ b_2 c)) -1)) -1/2) (+ (* b_2 b_2) (* c (neg a))) (sqrt (+ (* b_2 b_2) (* c (neg a)))) (/ (* c c) b_2) (log (/ b_2 c)))
58.0ms	b_2	@	-inf	((/ 1 (/ a (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2))) (/ a (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2)) (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ -1/2 b_2) c) (/ -1/2 b_2) (* (neg (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2)) (/ 1 (neg a))) (neg (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2)) (/ 1 (neg a)) (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2) (+ (* (* -1/8 (/ (* c c) b_2)) (/ a b_2)) (* -1/2 c)) (/ (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2) a) (/ (+ (* (* -1/8 (/ (* c c) b_2)) (/ a b_2)) (* -1/2 c)) b_2) (* -1/8 (/ (* c c) b_2)) (exp (* (log (/ b_2 c)) -1)) (* (log (/ b_2 c)) -1) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (exp (* (log (/ b_2 c)) -1)) -1/2) (+ (* b_2 b_2) (* c (neg a))) (sqrt (+ (* b_2 b_2) (* c (neg a)))) (/ (* c c) b_2) (log (/ b_2 c)))
19.0ms	c	@	-inf	((/ 1 (/ a (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2))) (/ a (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2)) (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ -1/2 b_2) c) (/ -1/2 b_2) (* (neg (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2)) (/ 1 (neg a))) (neg (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2)) (/ 1 (neg a)) (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2) (+ (* (* -1/8 (/ (* c c) b_2)) (/ a b_2)) (* -1/2 c)) (/ (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2) a) (/ (+ (* (* -1/8 (/ (* c c) b_2)) (/ a b_2)) (* -1/2 c)) b_2) (* -1/8 (/ (* c c) b_2)) (exp (* (log (/ b_2 c)) -1)) (* (log (/ b_2 c)) -1) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (exp (* (log (/ b_2 c)) -1)) -1/2) (+ (* b_2 b_2) (* c (neg a))) (sqrt (+ (* b_2 b_2) (* c (neg a)))) (/ (* c c) b_2) (log (/ b_2 c)))
19.0ms	c	@	0	((/ 1 (/ a (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2))) (/ a (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2)) (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ -1/2 b_2) c) (/ -1/2 b_2) (* (neg (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2)) (/ 1 (neg a))) (neg (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2)) (/ 1 (neg a)) (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2) (+ (* (* -1/8 (/ (* c c) b_2)) (/ a b_2)) (* -1/2 c)) (/ (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2) a) (/ (+ (* (* -1/8 (/ (* c c) b_2)) (/ a b_2)) (* -1/2 c)) b_2) (* -1/8 (/ (* c c) b_2)) (exp (* (log (/ b_2 c)) -1)) (* (log (/ b_2 c)) -1) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (exp (* (log (/ b_2 c)) -1)) -1/2) (+ (* b_2 b_2) (* c (neg a))) (sqrt (+ (* b_2 b_2) (* c (neg a)))) (/ (* c c) b_2) (log (/ b_2 c)))
11.0ms	c	@	inf	((/ 1 (/ a (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2))) (/ a (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2)) (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2) (sqrt (+ (* (neg a) c) (* b_2 b_2))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ -1/2 b_2) c) (/ -1/2 b_2) (* (neg (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2)) (/ 1 (neg a))) (neg (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2)) (/ 1 (neg a)) (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2) (+ (* (* -1/8 (/ (* c c) b_2)) (/ a b_2)) (* -1/2 c)) (/ (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2) a) (/ (+ (* (* -1/8 (/ (* c c) b_2)) (/ a b_2)) (* -1/2 c)) b_2) (* -1/8 (/ (* c c) b_2)) (exp (* (log (/ b_2 c)) -1)) (* (log (/ b_2 c)) -1) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (exp (* (log (/ b_2 c)) -1)) -1/2) (+ (* b_2 b_2) (* c (neg a))) (sqrt (+ (* b_2 b_2) (* c (neg a)))) (/ (* c c) b_2) (log (/ b_2 c)))

simplify318.0ms (4.1%)

Memory

-18.9MiB live, 227.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	963	5172
1	3173	5039
0	8767	4815

Stop Event

1×	iter limit
1×	node limit

Counts

185 → 184

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

rewrite245.0ms (3.2%)

Memory

49.3MiB live, 237.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	278
0	79	256
1	302	252
2	1869	249
0	8473	249

Stop Event

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

Counts

23 → 848

Calls

Call 1

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

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

eval219.0ms (2.8%)

Memory: -27.9MiB live, 212.7MiB allocated
Compiler: Compiled 37 266 to 4 261 computations (88.6% saved)

prune45.0ms (0.6%)

Memory

20.4MiB live, 131.3MiB allocated

Pruning

27 alts after pruning (22 fresh and 5 done)

	Pruned	Kept	Total
New	988	12	1 000
Fresh	9	10	19
Picked	4	1	5
Done	0	4	4
Total	1 001	27	1 028

Accuracy

92.9%

Counts

1 028 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	34.8%	(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a (neg.f64 (.f64 a b_2))) (*.f64 a a))
✓	56.5%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a)
	53.2%	(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* b_2 b_2) (* c (neg a))) (*.f64 (fma.f64 b_2 (/.f64 b_2 c) (neg.f64 a)) c))) b_2) a)
	34.7%	(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* b_2 b_2) (* c (neg a))) (*.f64 (neg.f64 a) c))) b_2) a)
	42.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (+.f64 #s(literal 0 binary64) a)) c)))) a)
	52.0%	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) #s(literal 1/2 binary64)))) a)
	38.2%	(/.f64 #s(approx (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2) (*.f64 #s(literal -2 binary64) b_2)) a)
✓	23.0%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
	34.6%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (+ (* b_2 b_2) (* c (neg a))) (*.f64 c (neg.f64 a)))) b_2)))
	30.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ a (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2)) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))))
	29.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ a (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2)) (.f64 (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2)))
	34.8%	(.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a (neg.f64 (.f64 a b_2))) (/.f64 #s(literal 1 binary64) (.f64 a a)))
	33.7%	(.f64 (/.f64 (-.f64 #s(approx (+ ( b_2 b_2) (* c (neg a))) (.f64 c (neg.f64 a))) (.f64 b_2 b_2)) (neg.f64 (+.f64 (sqrt.f64 #s(approx (+ (* b_2 b_2) (* c (neg a))) (*.f64 c (neg.f64 a)))) b_2))) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
	34.6%	(.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 (-.f64 (sqrt.f64 #s(approx (+ ( b_2 b_2) (* c (neg a))) (*.f64 c (neg.f64 a)))) b_2)))
	14.8%	(.f64 (neg.f64 (-.f64 (sqrt.f64 #s(approx (+ ( b_2 b_2) (* c (neg a))) (.f64 (neg.f64 a) c))) b_2)) (exp.f64 (.f64 (log.f64 (neg.f64 a)) #s(literal -1 binary64))))
	25.2%	(.f64 #s(approx (neg (- (sqrt (+ ( b_2 b_2) (* c (neg a)))) b_2)) (.f64 (.f64 a (/.f64 c b_2)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
	38.1%	(.f64 #s(approx (neg (- (sqrt (+ ( b_2 b_2) (* c (neg a)))) b_2)) (*.f64 #s(literal 2 binary64) b_2)) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
	26.5%	(exp.f64 (.f64 (log.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 c) a (.f64 b_2 b_2))) b_2))) #s(literal -1 binary64)))
	9.9%	(exp.f64 (.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)))) #s(literal -1 binary64)))
	38.1%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -2 binary64) (/.f64 a b_2)))
✓	31.1%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
✓	31.0%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
	15.1%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 b_2)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 c)))) #s(literal -1/2 binary64)))
	15.1%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (exp.f64 (-.f64 (log.f64 c) (log.f64 b_2))) #s(literal -1/2 binary64)))
	15.1%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (exp.f64 (.f64 (/.f64 (-.f64 (pow.f64 (log.f64 b_2) #s(literal 3 binary64)) (pow.f64 (log.f64 c) #s(literal 3 binary64))) (fma.f64 (log.f64 b_2) (log.f64 b_2) (fma.f64 (log.f64 c) (log.f64 c) (*.f64 (log.f64 b_2) (log.f64 c))))) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
	11.5%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (exp.f64 (.f64 (/.f64 (-.f64 (pow.f64 (log.f64 b_2) #s(literal 2 binary64)) (pow.f64 (log.f64 c) #s(literal 2 binary64))) (log.f64 (*.f64 b_2 c))) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
✓	38.2%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))

Compiler

Compiled 2 186 to 811 computations (62.9% saved)

regimes160.0ms (2.1%)

Memory

-36.8MiB live, 145.6MiB allocated

Counts

64 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
(/.f64 #s(approx (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -2 binary64) (/.f64 a b_2)))
(.f64 #s(approx (neg (- (sqrt (+ ( b_2 b_2) (* c (neg a)))) b_2)) (*.f64 #s(literal 2 binary64) b_2)) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (neg.f64 a)) (neg.f64 b_2))))
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* b_2 b_2) (* c (neg a))) (*.f64 (neg.f64 a) c))) b_2) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) c) b_2)) a)
(/.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 (/ -1 (pow (+ (* c a) (* b_2 b_2)) -1)) (*.f64 (neg.f64 a) c)))) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a)
(.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 (-.f64 (sqrt.f64 #s(approx (+ ( b_2 b_2) (* c (neg a))) (*.f64 c (neg.f64 a)))) b_2)))
(.f64 #s(approx (neg (- (sqrt (+ ( b_2 b_2) (* c (neg a)))) b_2)) (.f64 (.f64 a (/.f64 c b_2)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))) (/.f64 #s(literal -1 binary64) a))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 (neg.f64 a) c)))) a)
(.f64 (neg.f64 (-.f64 (sqrt.f64 #s(approx (+ ( b_2 b_2) (* c (neg a))) (*.f64 (neg.f64 a) c))) b_2)) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) c))) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (+ (* b_2 b_2) (* c (neg a))) (*.f64 c (neg.f64 a)))) b_2)))
(/.f64 #s(literal 1 binary64) #s(approx (/ a (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2)) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))))
(.f64 (neg.f64 (-.f64 #s(approx (sqrt (+ ( b_2 b_2) (* c (neg a)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 c b_2) b_2)) b_2)) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) b_2)) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)))
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* b_2 b_2) (* c (neg a))) (*.f64 (fma.f64 b_2 (/.f64 b_2 c) (neg.f64 a)) c))) b_2) a)
(/.f64 #s(literal 1 binary64) #s(approx (/ a (- (sqrt (+ (* (neg a) c) (* b_2 b_2))) b_2)) (.f64 (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64) (/.f64 #s(literal -2 binary64) c)) b_2)))
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (+ (* b_2 b_2) (* (neg a) c))) #s(approx (* (+ (* (* (/ a b_2) -1/2) (/ c b_2)) 1) b_2) (*.f64 (fma.f64 (/.f64 c b_2) #s(literal -1/2 binary64) (/.f64 b_2 a)) a)))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (-.f64 (.f64 b_2 (/.f64 b_2 c)) a) c)))) a)
(/.f64 (-.f64 #s(approx (sqrt (+ (* b_2 b_2) (* (neg a) c))) (.f64 (fma.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 1 binary64)) b_2)) b_2) a)
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a (neg.f64 (.f64 a b_2))) (*.f64 a a))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) #s(approx (pow (+ (* c a) (* b_2 b_2)) -1) (/.f64 #s(literal 1 binary64) (*.f64 c a)))))) a)
#s(approx (/ (- (sqrt (+ (* b_2 b_2) (* c (neg a)))) b_2) a) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 c c) b_2)) (/.f64 a b_2) (*.f64 #s(literal -1/2 binary64) c)) b_2))
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (+ (* b_2 b_2) (* (neg a) c))) (.f64 (fma.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 1 binary64)) b_2))) a)
(.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) a (neg.f64 (.f64 a b_2))) (/.f64 #s(literal 1 binary64) (.f64 a a)))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (+.f64 #s(literal 0 binary64) a)) c)))) a)
(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))))))
(.f64 (/.f64 (-.f64 #s(approx (+ ( b_2 b_2) (* c (neg a))) (.f64 c (neg.f64 a))) (.f64 b_2 b_2)) (neg.f64 (+.f64 (sqrt.f64 #s(approx (+ (* b_2 b_2) (* c (neg a))) (*.f64 c (neg.f64 a)))) b_2))) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(/.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) (.f64 b_2 b_2)) (+.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))) b_2)) a)
(/.f64 (/.f64 (-.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) (.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) (neg.f64 b_2))) a)
(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))))))) a)
(.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2)) (.f64 b_2 b_2)) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))))) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64))))) a)
(/.f64 (-.f64 (.f64 b_2 b_2) (pow.f64 #s(approx (sqrt (+ ( b_2 b_2) (* (neg a) c))) (.f64 (fma.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 1 binary64)) b_2)) #s(literal 2 binary64))) (.f64 a (-.f64 (neg.f64 b_2) #s(approx (sqrt (+ ( b_2 b_2) (* (neg a) c))) (.f64 (fma.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 1 binary64)) b_2)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(.f64 (neg.f64 (-.f64 (sqrt.f64 #s(approx (+ ( b_2 b_2) (* c (neg a))) (.f64 (neg.f64 a) c))) b_2)) (exp.f64 (.f64 (log.f64 (neg.f64 a)) #s(literal -1 binary64))))
(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) #s(literal 1/2 binary64)))) a)
(exp.f64 (.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)))) #s(literal -1 binary64)))
(.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) b_2)) (exp.f64 (*.f64 (log.f64 (neg.f64 a)) #s(literal -1 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 a) c (.f64 b_2 b_2))) b_2))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (neg.f64 c) a (.f64 b_2 b_2))) b_2))) #s(literal -1 binary64)))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))))) a)
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) #s(literal 3/2 binary64))) (.f64 a (fma.f64 b_2 b_2 (+.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a))) (.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (exp.f64 (-.f64 (log.f64 c) (log.f64 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 (neg.f64 b_2) (sqrt.f64 (/.f64 (.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal -1 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a)) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 8 binary64)))))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 b_2)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 c)))) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (exp.f64 (.f64 (/.f64 (-.f64 (pow.f64 (log.f64 b_2) #s(literal 2 binary64)) (pow.f64 (log.f64 c) #s(literal 2 binary64))) (log.f64 (*.f64 b_2 c))) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (.f64 (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 2 binary64))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (.f64 b_2 b_2))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (fma.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))))))) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (exp.f64 (.f64 (/.f64 (-.f64 (pow.f64 (log.f64 b_2) #s(literal 3 binary64)) (pow.f64 (log.f64 c) #s(literal 3 binary64))) (fma.f64 (log.f64 b_2) (log.f64 b_2) (fma.f64 (log.f64 c) (log.f64 c) (*.f64 (log.f64 b_2) (log.f64 c))))) #s(literal -1 binary64))) #s(literal -1/2 binary64)))

Outputs

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

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

54.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
39.0ms	a
39.0ms	b_2
25.0ms	c

Results

Accuracy	Segments	Branch
56.5%	1	`a`
88.6%	3	`b_2`
56.5%	1	`c`
77.9%	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

13.0MiB live, 13.0MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs

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

(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* b_2 b_2) (* c (neg a))) (*.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
84.8%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

11.6MiB live, 11.7MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
52.2%	3	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
66.9%	2	`b_2`

Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

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

Outputs

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

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

Calls

1 calls:

1.0ms

b_2

Results

Accuracy	Segments	Branch
66.8%	2	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes29.0ms (0.4%)

Memory

-31.6MiB live, 11.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

25.0ms	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
38.2%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
38.2%	1	`c`
38.2%	1	`a`
38.2%	1	`b_2`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch62.0ms (0.8%)

Memory

24.4MiB live, 59.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
50.0ms	7.972360671125894e-114	3.989974003776486e-111
8.0ms	-1.0340786296502338e+157	-9.055512504574243e+152

Samples

11.0ms	166×	0	valid
4.0ms	30×	1	valid
2.0ms	36×	0	invalid
2.0ms	12×	2	valid

Compiler

Compiled 419 to 341 computations (18.6% 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)

bsearch60.0ms (0.8%)

Memory

-13.4MiB live, 23.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.972360671125894e-114	3.989974003776486e-111
58.0ms	-3.0801952314703107e-87	-1.2702298540719848e-87

Samples

53.0ms	80×	0	valid
2.0ms	23×	0	invalid

Compiler

Compiled 497 to 393 computations (20.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 48.0ms (93.2% of total)

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

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

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

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

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

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

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

bsearch71.0ms (0.9%)

Memory

18.7MiB live, 54.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
69.0ms	-1.4777107132106557e-305	8.663790987308651e-305

Samples

52.0ms	80×	0	invalid
9.0ms	144×	0	valid

Compiler

Compiled 358 to 286 computations (20.1% saved)

Precisions

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

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

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

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

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

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

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

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

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

bsearch1.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.4777107132106557e-305	8.663790987308651e-305

Compiler

Compiled 358 to 286 computations (20.1% saved)

simplify144.0ms (1.9%)

Memory

-20.7MiB live, 100.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	224
1	75	215
2	106	215
3	153	215
4	197	215
5	333	215
6	1745	215
7	5224	215

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))) (if (<=.f64 b_2 #s(literal 1252304427276247/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) 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 -6831221463642303/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))) (if (<=.f64 b_2 #s(literal 1252304427276247/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (+ ( b_2 b_2) (* c (neg a))) (.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 -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
(if (<=.f64 b_2 #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))

Outputs
(if (<=.f64 b_2 #s(literal -999999999999999999733403004123153744855539019118436686285840188024369679522423761672919759564567158443669378824028710020392594094129030220133015859757056 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))) (if (<=.f64 b_2 #s(literal 1252304427276247/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 c (neg.f64 a)))) 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 -6831221463642303/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))) (if (<=.f64 b_2 #s(literal 1252304427276247/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (+ ( b_2 b_2) (* c (neg a))) (.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 -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
(if (<=.f64 b_2 #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))

soundness798.0ms (10.3%)

Memory

29.9MiB live, 511.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	508	2832
1	1606	2798
2	5550	2747
0	8048	2611
0	41	235
0	64	225
1	247	222
2	1570	222
0	8398	222
0	10	41
0	17	41
1	64	39
2	463	38
3	5920	38
0	8644	34
0	642	3777
1	2067	3735
2	7005	3705
0	8029	3532
0	52	352
0	85	352
1	324	321
0	2120	315

Stop Event

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

Compiler

Compiled 424 to 191 computations (55% saved)

preprocess99.0ms (1.3%)

Memory: -22.3MiB live, 65.1MiB allocated
Compiler: Compiled 654 to 170 computations (74% 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%)

analyze156.0ms (2%)

sample1.8s (23%)

explain161.0ms (2.1%)

preprocess166.0ms (2.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify25.0ms (0.3%)

localize69.0ms (0.9%)

series18.0ms (0.2%)

simplify191.0ms (2.5%)

rewrite145.0ms (1.9%)

eval64.0ms (0.8%)

prune19.0ms (0.2%)

simplify199.0ms (2.6%)

localize146.0ms (1.9%)

series113.0ms (1.5%)

simplify253.0ms (3.3%)

rewrite88.0ms (1.1%)

eval111.0ms (1.4%)

prune25.0ms (0.3%)

simplify79.0ms (1%)

localize205.0ms (2.6%)

series33.0ms (0.4%)

simplify183.0ms (2.4%)

rewrite229.0ms (2.9%)

eval225.0ms (2.9%)

prune49.0ms (0.6%)

simplify151.0ms (1.9%)

localize412.0ms (5.3%)

series203.0ms (2.6%)

simplify318.0ms (4.1%)

rewrite245.0ms (3.2%)

eval219.0ms (2.8%)

prune45.0ms (0.6%)

regimes160.0ms (2.1%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

regimes29.0ms (0.4%)

bsearch62.0ms (0.8%)

bsearch60.0ms (0.8%)

bsearch71.0ms (0.9%)

bsearch1.0ms (0%)

simplify144.0ms (1.9%)

soundness798.0ms (10.3%)

preprocess99.0ms (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