Metrics for quad2p (problem 3.2.1, positive)

analyze160.0ms (1.1%)

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 17 to 11 computations (35.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-mult: 18.0ms (26.8% of total)

ival-sub: 13.0ms (19.4% of total)

ival-sqrt: 13.0ms (19.4% of total)

ival-div: 8.0ms (11.9% of total)

ival-add: 7.0ms (10.4% of total)

ival-neg: 7.0ms (10.4% of total)

const: 1.0ms (1.5% of total)

backward-pass: 1.0ms (1.5% of total)

sample1.9s (13.6%)

Results

665.0ms	5534×	0	valid
655.0ms	1919×	2	valid
156.0ms	803×	1	valid
87.0ms	1053×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 958.0ms

ival-mult: 237.0ms (24.7% of total)

ival-sqrt: 156.0ms (16.3% of total)

ival-div: 147.0ms (15.3% of total)

ival-sub: 137.0ms (14.3% of total)

ival-neg: 116.0ms (12.1% of total)

ival-add: 81.0ms (8.5% of total)

backward-pass: 74.0ms (7.7% of total)

const: 9.0ms (0.9% of total)

Bogosity

preprocess140.0ms (1%)

Algorithm

2×	egg-herbie

Rules

1914×	`fnmsub-define`
1824×	`sum3-define`
1694×	`sum5-define`
1650×	`fmm-def`
1308×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	121
1	139	113
2	302	101
3	874	101
4	2841	101
5	5833	101
0	10	12
1	24	11
2	43	10
3	81	10
4	145	10
5	290	10
6	566	10
7	1127	10
8	1927	10
9	2983	10
10	4010	10
11	4091	10
12	4110	10
13	4118	10
0	4118	10

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

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

Outputs
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
(/ (- (sqrt (fnmadd a c (square b_2))) b_2) a)
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* (neg a) c)))) (neg a))
(/ (- b_2 (sqrt (fma a c (square b_2)))) a)
(/ (+ (neg (neg b_2)) (sqrt (- (* (neg b_2) (neg b_2)) (* a c)))) a)
(/ (+ b_2 (sqrt (fnmadd a c (square b_2)))) a)
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a (neg c))))) a)
(/ (- (sqrt (fma a c (square b_2))) b_2) a)
(neg (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* (neg a) c)))) (neg a)))
(/ (- (sqrt (fma a c (square b_2))) b_2) a)
(neg (/ (+ (neg (neg b_2)) (sqrt (- (* (neg b_2) (neg b_2)) (* a c)))) a))
(/ (+ b_2 (sqrt (fnmadd a c (square b_2)))) (neg a))
(neg (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a (neg c))))) a))
(/ (- b_2 (sqrt (fma a c (square b_2)))) a)
(/ (+ (neg a) (sqrt (- (* a a) (* b_2 c)))) b_2)
(/ (- (sqrt (fnmadd b_2 c (square a))) a) b_2)
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* c a)))) c)
(/ (- (sqrt (fnmadd a c (square b_2))) b_2) c)
(/ (+ (neg c) (sqrt (- (* c c) (* a b_2)))) a)
(/ (- (sqrt (fnmadd b_2 a (square c))) c) a)

explain201.0ms (1.4%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
103	-	-	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
61	-	-	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
13	-	-	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
4	-	-	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`
0	-	-	`c`
0	-	-	`(*.f64 a c)`
0	-	-	`b_2`
0	-	-	`(neg.f64 b_2)`
0	-	-	`a`
0	-	-	`(*.f64 b_2 b_2)`

Results

80.0ms	344×	0	valid
57.0ms	124×	2	valid
12.0ms	44×	1	valid

Compiler

Compiled 124 to 32 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 12.0ms (24.8% of total)

backward-pass: 10.0ms (20.7% of total)

ival-sqrt: 7.0ms (14.5% of total)

ival-div: 6.0ms (12.4% of total)

ival-neg: 5.0ms (10.3% of total)

ival-add: 5.0ms (10.3% of total)

ival-sub: 4.0ms (8.3% of total)

const: 1.0ms (2.1% of total)

eval0.0ms (0%)

Compiler: Compiled 15 to 9 computations (40% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.3%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)

Compiler

Compiled 15 to 9 computations (40% saved)

simplify90.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	cost-diff	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	cost-diff	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	cost-diff	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)

Rules

816×	`fnmadd-define`
682×	`sum3-define`
584×	`fmsub-define`
564×	`fnmsub-define`
544×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	41
1	23	41
2	41	37
3	72	37
4	126	37
5	239	37
6	462	37
7	864	37
8	1591	37
9	2565	37
10	3065	37
11	3099	37
12	3243	37
13	3259	37
0	3259	37

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
(sqrt (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))
(* b_2 b_2)
b_2
(* a c)
a
c

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

localize71.0ms (0.5%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.7%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	95.1%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
✓	accuracy	78.4%	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	accuracy	62.4%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Results

27.0ms	62×	2	valid
26.0ms	172×	0	valid
5.0ms	22×	1	valid

Compiler

Compiled 50 to 10 computations (80% saved)

Precisions

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

ival-mult: 8.0ms (35.4% of total)

ival-sqrt: 4.0ms (17.7% of total)

ival-sub: 4.0ms (17.7% of total)

ival-div: 3.0ms (13.3% of total)

backward-pass: 3.0ms (13.3% of total)

const: 0.0ms (0% of total)

series17.0ms (0.1%)

Counts

4 → 144

Calls

Call 1

Inputs
#<alt (/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)>
#<alt (- (sqrt (- (* b_2 b_2) (* a c))) b_2)>
#<alt (sqrt (- (* b_2 b_2) (* a c)))>
#<alt (- (* b_2 b_2) (* a c))>

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

Calls

36 calls:

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

rewrite735.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3990×	`-lowering-.f32`
3990×	`-lowering-.f64`
2788×	`/-lowering-/.f32`
2788×	`/-lowering-/.f64`
1598×	`fnmadd-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	65	33
2	499	29
3	7235	29
0	8596	29

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 386

Calls

Call 1

Inputs
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
(sqrt (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))

Outputs
(+.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) b_2) (/.f64 b_2 (-.f64 #s(literal 0 binary64) a))))
(+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)))
(+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (*.f64 #s(literal 1 binary64) (/.f64 b_2 (-.f64 #s(literal 0 binary64) a))))
(+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) b_2)))
(+.f64 (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) b_2)) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) a))
(+.f64 (.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) #s(literal 1 binary64)) (.f64 (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))) #s(literal -1 binary64)))
(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a))
(-.f64 (/.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) #s(literal 3/2 binary64)) (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) a) (/.f64 (/.f64 (.f64 b_2 (.f64 b_2 b_2)) (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) a))
(-.f64 (/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a) (/.f64 (/.f64 (.f64 b_2 b_2) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) a))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) a)) (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a))
(-.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) #s(literal 3/2 binary64)) (.f64 a (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (/.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))))
(-.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (/.f64 (.f64 b_2 b_2) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))))
(-.f64 (/.f64 (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 a a)) (/.f64 (.f64 b_2 a) (.f64 a a)))
(-.f64 (/.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) #s(literal 3/2 binary64)) (.f64 a (.f64 a a))) (+.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 a a)) (.f64 (/.f64 b_2 a) (.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (/.f64 (/.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a (.f64 a a))) (+.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 a a)) (.f64 (/.f64 b_2 a) (.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))))
(-.f64 (/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 a a)) (.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (/.f64 (/.f64 b_2 (.f64 (/.f64 a b_2) a)) (.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))
(fma.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 #s(literal 1 binary64) a) (/.f64 b_2 (-.f64 #s(literal 0 binary64) a)))
(neg.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) a)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
(/.f64 (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) #s(literal 3/2 binary64)) (.f64 b_2 (.f64 b_2 b_2))) (.f64 a (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) #s(literal 3/2 binary64)) (.f64 b_2 (.f64 b_2 b_2))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) #s(literal 3/2 binary64)) (.f64 b_2 (.f64 b_2 b_2))) (.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 (-.f64 #s(literal 0 binary64) b_2) (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) a))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) #s(literal 3/2 binary64)) (.f64 b_2 (.f64 b_2 b_2))) (.f64 a (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 (-.f64 #s(literal 0 binary64) b_2) (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) #s(literal 3/2 binary64)) (.f64 b_2 (.f64 b_2 b_2))) (.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (-.f64 (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (*.f64 b_2 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 a a)) (.f64 (/.f64 b_2 a) (.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (-.f64 (/.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) #s(literal 3/2 binary64)) (.f64 a (.f64 a a))) (/.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a (*.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (-.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 a a)) (/.f64 b_2 (*.f64 (/.f64 a b_2) a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (/.f64 (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) #s(literal 3/2 binary64)) (.f64 b_2 (*.f64 b_2 b_2))) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (/.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 b_2 b_2) (*.f64 a c))) a)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
(/.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
(/.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))
(/.f64 #s(literal -1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (-.f64 (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 b_2 a)) (*.f64 a a))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) #s(literal 3/2 binary64)) (.f64 b_2 (.f64 b_2 b_2)))) (.f64 a (-.f64 #s(literal 0 binary64) (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) #s(literal 3/2 binary64)) (.f64 b_2 (.f64 b_2 b_2)))) (.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) #s(literal 3/2 binary64)) (.f64 b_2 (.f64 b_2 b_2)))) (.f64 (-.f64 #s(literal 0 binary64) a) (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 (-.f64 #s(literal 0 binary64) b_2) (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) #s(literal 3/2 binary64)) (.f64 b_2 (.f64 b_2 b_2)))) (neg.f64 (.f64 a (+.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))))
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simplify338.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

5242×	`-lowering-.f32`
5242×	`-lowering-.f64`
2332×	`+-lowering-+.f64`
2332×	`+-lowering-+.f32`
1496×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	508	2984
1	1738	2788
2	6462	2763
0	8034	2763

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

Outputs
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (.f64 b_2 (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (*.f64 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) a))))
(+ (* 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)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (.f64 b_2 (+.f64 (.f64 b_2 (+.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) c) (.f64 c c))) (.f64 (/.f64 (.f64 b_2 b_2) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) a))))
(* -1/2 (/ c b_2))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/.f64 (+.f64 (.f64 c #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) c) c) a) (*.f64 b_2 b_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)
(/.f64 (+.f64 (+.f64 (.f64 c #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) c) c) a) (.f64 b_2 b_2))) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 c (.f64 c (.f64 c (.f64 a a))))) (pow.f64 b_2 #s(literal 4 binary64)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(/.f64 (+.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) c) c) a) (.f64 b_2 b_2)) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 c (.f64 c (.f64 c (.f64 a a))))) (pow.f64 b_2 #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (+.f64 c (/.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 5/64 binary64))) (*.f64 a (pow.f64 b_2 #s(literal 6 binary64))))))) b_2)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(-.f64 #s(literal 0 binary64) (.f64 b_2 (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(-.f64 #s(literal 0 binary64) (.f64 b_2 (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 b_2 b_2)) (+.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) c) c) a) (pow.f64 b_2 #s(literal 4 binary64)))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(.f64 (+.f64 (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 b_2 b_2)) (+.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) c) c) a) (pow.f64 b_2 #s(literal 4 binary64))))) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 c (.f64 c (.f64 c (*.f64 a a))))) (pow.f64 b_2 #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) b_2))
(* -1/2 (/ c b_2))
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(.f64 c (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (.f64 c (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 (.f64 (.f64 (.f64 a (*.f64 a a)) #s(literal -1/16 binary64)) c) (pow.f64 b_2 #s(literal 5 binary64)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(.f64 c (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (.f64 c (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) (.f64 b_2 (.f64 b_2 b_2))) (.f64 c (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 5/64 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 c b_2))) (/.f64 (.f64 (.f64 a (.f64 a a)) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))))))))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a)))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(.f64 c (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b_2 c)))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(.f64 c (-.f64 (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c c))) a)) (.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (/.f64 b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(.f64 c (+.f64 (-.f64 (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c c))) a)) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (/.f64 b_2 c)) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(.f64 (+.f64 (/.f64 b_2 c) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (-.f64 (.f64 (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64))) b_2) c)) (-.f64 #s(literal 0 binary64) 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 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (-.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 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)))) (-.f64 #s(literal 0 binary64) c)) b_2) c)) (-.f64 #s(literal 0 binary64) c))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a))) (.f64 (.f64 b_2 b_2) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 b_2 b_2) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))) (.f64 c c))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a))) (.f64 (.f64 b_2 b_2) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 b_2 b_2) (+.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))) (.f64 c c))) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/8 binary64))) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (/.f64 (*.f64 b_2 b_2) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(.f64 b_2 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(.f64 b_2 (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c (.f64 c (.f64 a a)))) (pow.f64 b_2 #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(.f64 b_2 (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c (.f64 c (.f64 a a)))) (pow.f64 b_2 #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)))) (/.f64 (.f64 (.f64 (.f64 c (.f64 c c)) #s(literal -1/16 binary64)) (.f64 a (*.f64 a a))) (pow.f64 b_2 #s(literal 6 binary64)))))
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(.f64 (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c (.f64 c (.f64 a a)))) (pow.f64 b_2 #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c (.f64 c (.f64 a a)))) (pow.f64 b_2 #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)))) (/.f64 (.f64 (.f64 (.f64 c (.f64 c c)) #s(literal -1/16 binary64)) (.f64 a (*.f64 a a))) (pow.f64 b_2 #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) b_2))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (/.f64 (.f64 c (.f64 a #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))))))
(+.f64 b_2 (.f64 a (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) c) c) a) (.f64 b_2 (*.f64 b_2 b_2))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(+.f64 b_2 (.f64 a (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (.f64 a (+.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) c) c) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 (.f64 (.f64 #s(literal -1/16 binary64) a) (.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 5 binary64))))))))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) c) (.f64 c c))) (.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 a (+.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (+.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) c) (.f64 c c))) (.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(-.f64 #s(literal 0 binary64) (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)))) (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) c) (.f64 c c))) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
(.f64 (+.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2))))) (+.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) c) (.f64 c c))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64))))))) (-.f64 #s(literal 0 binary64) a))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (/.f64 (.f64 c (.f64 a #s(literal -1/2 binary64))) b_2))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+.f64 b_2 (.f64 c (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c (.f64 a a))) (.f64 b_2 (*.f64 b_2 b_2))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(+.f64 b_2 (.f64 c (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (.f64 c (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 (.f64 (.f64 (.f64 a (*.f64 a a)) #s(literal -1/16 binary64)) c) (pow.f64 b_2 #s(literal 5 binary64))))))))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(.f64 c (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c c))) a)) (.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 c (+.f64 (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c c))) a)) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 c (+.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (+.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c c))) a)) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64))))))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(-.f64 #s(literal 0 binary64) (.f64 c (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c c))) a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 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)) (sqrt -1))))))
(-.f64 #s(literal 0 binary64) (.f64 c (+.f64 (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c c))) a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64))))))
(* -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 (+.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/8 binary64))) (+.f64 (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c c))) a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1/16 binary64))))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(- (pow b_2 2) (* a c))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(- (pow b_2 2) (* a c))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(- (pow b_2 2) (* a c))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(pow b_2 2)
(*.f64 b_2 b_2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)))
(pow b_2 2)
(*.f64 b_2 b_2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)))
(pow b_2 2)
(*.f64 b_2 b_2)
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(* a (- (/ (pow b_2 2) a) c))
(.f64 a (-.f64 (/.f64 (.f64 b_2 b_2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(.f64 a (-.f64 (/.f64 (.f64 b_2 b_2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(.f64 a (-.f64 (/.f64 (.f64 b_2 b_2) a) c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(.f64 a (-.f64 (/.f64 (.f64 b_2 b_2) a) c))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(.f64 a (-.f64 (/.f64 (.f64 b_2 b_2) a) c))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(.f64 a (-.f64 (/.f64 (.f64 b_2 b_2) a) c))
(pow b_2 2)
(*.f64 b_2 b_2)
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(* c (- (/ (pow b_2 2) c) a))
(.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))

eval65.0ms (0.5%)

Compiler: Compiled 20031 to 2053 computations (89.8% saved)

prune130.0ms (0.9%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	507	23	530
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	507	24	531

Accuracy

94.4%

Counts

531 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.0%	(/.f64 (/.f64 (-.f64 (.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) (.f64 (/.f64 (.f64 b_2 b_2) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (/.f64 (.f64 b_2 b_2) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (+.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (/.f64 (.f64 b_2 b_2) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))))) a)
	31.2%	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 b_2 b_2) (.f64 a c))) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
▶	20.7%	(/.f64 (/.f64 (+.f64 (.f64 c (.f64 a #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c (.f64 c (.f64 a a)))) (*.f64 b_2 b_2))) b_2) a)
	29.3%	(/.f64 (/.f64 (.f64 c (.f64 a #s(literal -1/2 binary64))) b_2) a)
	31.1%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 b_2 b_2) (.f64 a c))))) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
	53.2%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
▶	52.7%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) b_2) a)
	12.3%	(/.f64 (-.f64 (+.f64 b_2 (/.f64 (.f64 c (.f64 a #s(literal -1/2 binary64))) b_2)) b_2) a)
	7.8%	(/.f64 (-.f64 (+.f64 b_2 (.f64 c (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c (.f64 a a))) (.f64 b_2 (*.f64 b_2 b_2)))))) b_2) a)
	34.2%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2))) (-.f64 #s(literal 0 binary64) b_2)) b_2) a)
✓	53.3%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	35.0%	(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a)
	39.8%	(/.f64 (-.f64 (sqrt.f64 (.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)))) b_2) a)
	11.7%	(/.f64 (-.f64 b_2 b_2) a)
	34.2%	(/.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2))) (-.f64 #s(literal 0 binary64) b_2)) a)
	35.3%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
▶	35.9%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
▶	53.2%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
	52.8%	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a))
▶	34.4%	(-.f64 #s(literal 0 binary64) (.f64 b_2 (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a))))
	27.2%	(+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) c) c) a) (.f64 b_2 (.f64 b_2 b_2))))
	53.2%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
	34.7%	(.f64 (-.f64 (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 b_2 a)) (/.f64 #s(literal 1 binary64) (.f64 a a)))
	33.8%	(.f64 c (+.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c a)) (.f64 b_2 (*.f64 b_2 b_2)))))

Compiler

Compiled 1051 to 553 computations (47.4% saved)

simplify154.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
✓	cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) b_2)
✓	cost-diff	0	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) b_2) a)
✓	cost-diff	0	(.f64 c (.f64 a #s(literal -1/2 binary64)))
✓	cost-diff	0	(/.f64 (+.f64 (.f64 c (.f64 a #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c (.f64 c (.f64 a a)))) (*.f64 b_2 b_2))) b_2)
✓	cost-diff	0	(/.f64 (/.f64 (+.f64 (.f64 c (.f64 a #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c (.f64 c (.f64 a a)))) (*.f64 b_2 b_2))) b_2) a)
✓	cost-diff	256	(+.f64 (.f64 c (.f64 a #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c (.f64 c (.f64 a a)))) (*.f64 b_2 b_2)))
✓	cost-diff	0	(/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 b_2 b_2))
✓	cost-diff	0	(+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a))
✓	cost-diff	128	(.f64 b_2 (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)))
✓	cost-diff	128	(-.f64 #s(literal 0 binary64) (.f64 b_2 (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a))))
✓	cost-diff	0	(*.f64 b_2 #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
✓	cost-diff	0	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	cost-diff	0	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	cost-diff	0	(/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))

Rules

2270×	`-lowering-.f32`
2270×	`-lowering-.f64`
2130×	`sum3-define`
1260×	`sum4-define`
1232×	`sum5-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	280
1	109	271
2	269	253
3	763	246
4	2311	246
5	4296	246
6	6289	246
0	8128	246

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))
1
(/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
a
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
(sqrt (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))
(* b_2 b_2)
b_2
(* a c)
c
(/ (* b_2 -2) a)
(* b_2 -2)
b_2
-2
a
(- 0 (* b_2 (+ (/ (* c -1/2) (* b_2 b_2)) (/ 2 a))))
0
(* b_2 (+ (/ (* c -1/2) (* b_2 b_2)) (/ 2 a)))
b_2
(+ (/ (* c -1/2) (* b_2 b_2)) (/ 2 a))
(/ (* c -1/2) (* b_2 b_2))
(* c -1/2)
c
-1/2
(* b_2 b_2)
(/ 2 a)
2
a
(/ (/ (+ (* c (* a -1/2)) (/ (* -1/8 (* c (* c (* a a)))) (* b_2 b_2))) b_2) a)
(/ (+ (* c (* a -1/2)) (/ (* -1/8 (* c (* c (* a a)))) (* b_2 b_2))) b_2)
(+ (* c (* a -1/2)) (/ (* -1/8 (* c (* c (* a a)))) (* b_2 b_2)))
(* c (* a -1/2))
c
(* a -1/2)
a
-1/2
(/ (* -1/8 (* c (* c (* a a)))) (* b_2 b_2))
(* -1/8 (* c (* c (* a a))))
-1/8
(* c (* c (* a a)))
(* c (* a a))
(* a a)
(* b_2 b_2)
b_2
(/ (- (/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c))))) b_2) a)
(- (/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c))))) b_2)
(/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c)))))
1
(sqrt (/ 1 (- (* b_2 b_2) (* a c))))
(/ 1 (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))
(* b_2 b_2)
b_2
(* a c)
a
c

Outputs
(/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
1
#s(literal 1 binary64)
(/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
(/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))
a
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
(sqrt (- (* b_2 b_2) (* a c)))
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
(- (* b_2 b_2) (* a c))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(* b_2 b_2)
(*.f64 b_2 b_2)
b_2
(* a c)
(*.f64 a c)
c
(/ (* b_2 -2) a)
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* b_2 -2)
(*.f64 b_2 #s(literal -2 binary64))
b_2
-2
#s(literal -2 binary64)
a
(- 0 (* b_2 (+ (/ (* c -1/2) (* b_2 b_2)) (/ 2 a))))
(+.f64 (.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a))
0
#s(literal 0 binary64)
(* b_2 (+ (/ (* c -1/2) (* b_2 b_2)) (/ 2 a)))
(-.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a))
b_2
(+ (/ (* c -1/2) (* b_2 b_2)) (/ 2 a))
(+.f64 (/.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2) (/.f64 #s(literal 2 binary64) a))
(/ (* c -1/2) (* b_2 b_2))
(/.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2)
(* c -1/2)
(*.f64 c #s(literal -1/2 binary64))
c
-1/2
#s(literal -1/2 binary64)
(* b_2 b_2)
(*.f64 b_2 b_2)
(/ 2 a)
(/.f64 #s(literal 2 binary64) a)
2
#s(literal 2 binary64)
a
(/ (/ (+ (* c (* a -1/2)) (/ (* -1/8 (* c (* c (* a a)))) (* b_2 b_2))) b_2) a)
(/.f64 (.f64 (.f64 a c) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a (.f64 c #s(literal -1/8 binary64))) (.f64 b_2 b_2)))) (.f64 a b_2))
(/ (+ (* c (* a -1/2)) (/ (* -1/8 (* c (* c (* a a)))) (* b_2 b_2))) b_2)
(/.f64 (.f64 (.f64 a c) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a (.f64 c #s(literal -1/8 binary64))) (*.f64 b_2 b_2)))) b_2)
(+ (* c (* a -1/2)) (/ (* -1/8 (* c (* c (* a a)))) (* b_2 b_2)))
(.f64 (.f64 a c) (+.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a (.f64 c #s(literal -1/8 binary64))) (*.f64 b_2 b_2))))
(* c (* a -1/2))
(.f64 a (.f64 c #s(literal -1/2 binary64)))
c
(* a -1/2)
(*.f64 a #s(literal -1/2 binary64))
a
-1/2
#s(literal -1/2 binary64)
(/ (* -1/8 (* c (* c (* a a)))) (* b_2 b_2))
(/.f64 (.f64 a (.f64 a (.f64 c (.f64 c #s(literal -1/8 binary64))))) (*.f64 b_2 b_2))
(* -1/8 (* c (* c (* a a))))
(.f64 a (.f64 a (.f64 c (.f64 c #s(literal -1/8 binary64)))))
-1/8
#s(literal -1/8 binary64)
(* c (* c (* a a)))
(.f64 c (.f64 a (*.f64 a c)))
(* c (* a a))
(.f64 a (.f64 a c))
(* a a)
(*.f64 a a)
(* b_2 b_2)
(*.f64 b_2 b_2)
b_2
(/ (- (/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c))))) b_2) a)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 (.f64 a c) (.f64 b_2 b_2))))) b_2) a)
(- (/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c))))) b_2)
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 (.f64 a c) (.f64 b_2 b_2))))) b_2)
(/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 (.f64 a c) (.f64 b_2 b_2)))))
1
#s(literal 1 binary64)
(sqrt (/ 1 (- (* b_2 b_2) (* a c))))
(sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 (.f64 a c) (.f64 b_2 b_2))))
(/ 1 (- (* b_2 b_2) (* a c)))
(/.f64 #s(literal -1 binary64) (-.f64 (.f64 a c) (.f64 b_2 b_2)))
(- (* b_2 b_2) (* a c))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(* b_2 b_2)
(*.f64 b_2 b_2)
b_2
(* a c)
(*.f64 a c)
a
c

localize387.0ms (2.7%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.7%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	95.1%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) b_2) a)
✓	accuracy	78.4%	(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))))) b_2)
✓	accuracy	62.9%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	accuracy	94.2%	(.f64 c (.f64 c (*.f64 a a)))
✓	accuracy	89.3%	(/.f64 (/.f64 (+.f64 (.f64 c (.f64 a #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c (.f64 c (.f64 a a)))) (*.f64 b_2 b_2))) b_2) a)
✓	accuracy	84.2%	(.f64 c (.f64 a a))
✓	accuracy	80.6%	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c (.f64 c (.f64 a a)))) (*.f64 b_2 b_2))
✓	accuracy	100.0%	(*.f64 b_2 b_2)
✓	accuracy	100.0%	(+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a))
✓	accuracy	90.6%	(.f64 b_2 (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)))
✓	accuracy	90.6%	(/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 b_2 b_2))
✓	accuracy	100.0%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
✓	accuracy	100.0%	(*.f64 b_2 #s(literal -2 binary64))
✓	accuracy	98.7%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	95.4%	(/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))
✓	accuracy	78.4%	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	accuracy	62.4%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Results

113.0ms	43×	2	valid
93.0ms	172×	0	valid
73.0ms	20×	3	valid
23.0ms	21×	1	valid

Compiler

Compiled 331 to 40 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

ival-mult: 34.0ms (29% of total)

ival-div: 33.0ms (28.1% of total)

backward-pass: 20.0ms (17% of total)

ival-sqrt: 18.0ms (15.3% of total)

ival-sub: 9.0ms (7.7% of total)

ival-add: 4.0ms (3.4% of total)

const: 1.0ms (0.9% of total)

series119.0ms (0.8%)

Counts

23 → 720

Calls

Call 1

Inputs
#<alt (/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))>
#<alt (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2))>
#<alt (- (sqrt (- (* b_2 b_2) (* a c))) b_2)>
#<alt (sqrt (- (* b_2 b_2) (* a c)))>
#<alt (/ (* b_2 -2) a)>
#<alt (* b_2 -2)>
#<alt (- 0 (* b_2 (+ (/ (* c -1/2) (* b_2 b_2)) (/ 2 a))))>
#<alt (* b_2 (+ (/ (* c -1/2) (* b_2 b_2)) (/ 2 a)))>
#<alt (+ (/ (* c -1/2) (* b_2 b_2)) (/ 2 a))>
#<alt (/ (* c -1/2) (* b_2 b_2))>
#<alt (+ (* c (* a -1/2)) (/ (* -1/8 (* c (* c (* a a)))) (* b_2 b_2)))>
#<alt (/ (/ (+ (* c (* a -1/2)) (/ (* -1/8 (* c (* c (* a a)))) (* b_2 b_2))) b_2) a)>
#<alt (/ (+ (* c (* a -1/2)) (/ (* -1/8 (* c (* c (* a a)))) (* b_2 b_2))) b_2)>
#<alt (* c (* a -1/2))>
#<alt (/ (- (/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c))))) b_2) a)>
#<alt (- (/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c))))) b_2)>
#<alt (/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c)))))>
#<alt (sqrt (/ 1 (- (* b_2 b_2) (* a c))))>
#<alt (- (* b_2 b_2) (* a c))>
#<alt (* b_2 b_2)>
#<alt (/ (* -1/8 (* c (* c (* a a)))) (* b_2 b_2))>
#<alt (* c (* a a))>
#<alt (* c (* c (* a a)))>

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

Calls

180 calls:

Time	Variable		Point	Expression
19.0ms	a	@	0	(/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
18.0ms	b_2	@	inf	(sqrt (/ 1 (- (* b_2 b_2) (* a c))))
6.0ms	b_2	@	-inf	(/ (/ (+ (* c (* a -1/2)) (/ (* -1/8 (* c (* c (* a a)))) (* b_2 b_2))) b_2) a)
3.0ms	a	@	inf	(sqrt (/ 1 (- (* b_2 b_2) (* a c))))
2.0ms	b_2	@	inf	(/ (* b_2 -2) a)

rewrite327.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3342×	`/-lowering-/.f32`
3342×	`/-lowering-/.f64`
2790×	`-lowering-.f32`
2790×	`-lowering-.f64`
1858×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	212
1	262	196
2	2592	185
0	8308	185

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 972

Calls

Call 1

Inputs
(/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))
(/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
(sqrt (- (* b_2 b_2) (* a c)))
(/ (* b_2 -2) a)
(* b_2 -2)
(- 0 (* b_2 (+ (/ (* c -1/2) (* b_2 b_2)) (/ 2 a))))
(* b_2 (+ (/ (* c -1/2) (* b_2 b_2)) (/ 2 a)))
(+ (/ (* c -1/2) (* b_2 b_2)) (/ 2 a))
(/ (* c -1/2) (* b_2 b_2))
(+ (* c (* a -1/2)) (/ (* -1/8 (* c (* c (* a a)))) (* b_2 b_2)))
(/ (/ (+ (* c (* a -1/2)) (/ (* -1/8 (* c (* c (* a a)))) (* b_2 b_2))) b_2) a)
(/ (+ (* c (* a -1/2)) (/ (* -1/8 (* c (* c (* a a)))) (* b_2 b_2))) b_2)
(* c (* a -1/2))
(/ (- (/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c))))) b_2) a)
(- (/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c))))) b_2)
(/ 1 (sqrt (/ 1 (- (* b_2 b_2) (* a c)))))
(sqrt (/ 1 (- (* b_2 b_2) (* a c))))
(- (* b_2 b_2) (* a c))
(* b_2 b_2)
(/ (* -1/8 (* c (* c (* a a)))) (* b_2 b_2))
(* c (* a a))
(* c (* c (* a a)))

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

simplify426.0ms (3%)

Algorithm

1×	egg-herbie

Rules

6822×	`-lowering-.f32`
6822×	`-lowering-.f64`
4186×	`+-lowering-+.f64`
4186×	`+-lowering-+.f32`
1378×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1059	12113
1	3799	11139
0	8316	11139

Stop Event

1×	iter limit
1×	node limit

Counts

720 → 720

Calls

Call 1

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

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

eval281.0ms (2%)

Compiler: Compiled 51386 to 5158 computations (90% saved)

prune475.0ms (3.4%)

Pruning

33 alts after pruning (31 fresh and 2 done)

	Pruned	Kept	Total
New	1872	21	1893
Fresh	8	10	18
Picked	4	1	5
Done	0	1	1
Total	1884	33	1917

Accuracy

94.6%

Counts

1917 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.2%	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 b_2 b_2) (.f64 a c))) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
	29.3%	(/.f64 (/.f64 (.f64 c (.f64 a #s(literal -1/2 binary64))) b_2) a)
	31.1%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 b_2 b_2) (.f64 a c))))) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
	53.2%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
▶	53.3%	(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))) #s(literal -1/2 binary64)) b_2) a)
	35.0%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 c a))))) b_2) a)
✓	53.3%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	35.0%	(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a)
	39.8%	(/.f64 (-.f64 (sqrt.f64 (.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)))) b_2) a)
	11.7%	(/.f64 (-.f64 b_2 b_2) a)
	34.2%	(/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)) a)
	11.5%	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
	35.3%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	35.9%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
▶	35.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)) c))
	34.9%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c))
	35.8%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2))
	29.2%	(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) b_2)))
	12.1%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2)))) b_2)))
	35.0%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2)))
	35.5%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2)))
	34.5%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) c) (.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (.f64 a (.f64 #s(literal 1/8 binary64) (/.f64 c (.f64 b_2 (.f64 b_2 b_2)))))))))
	53.2%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) a))
	28.9%	(-.f64 #s(literal 0 binary64) (.f64 b_2 (/.f64 (+.f64 (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) a) (.f64 b_2 #s(literal 2 binary64))) (*.f64 a b_2))))
	11.4%	(-.f64 #s(literal 0 binary64) (.f64 b_2 (/.f64 (.f64 #s(literal -1/2 binary64) c) (*.f64 b_2 b_2))))
	35.7%	(-.f64 #s(literal 0 binary64) (.f64 b_2 (+.f64 (/.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) b_2) (/.f64 #s(literal 2 binary64) a))))
▶	35.8%	(+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a))
	35.7%	(.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 b_2 #s(literal -2 binary64))) #s(literal -1 binary64)))
▶	53.2%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
▶	35.8%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
	34.7%	(.f64 (-.f64 (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 b_2 a)) (/.f64 #s(literal 1 binary64) (.f64 a a)))
	27.1%	(.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) (*.f64 c a))))
	15.7%	(exp.f64 (.f64 (log.f64 (/.f64 a (.f64 b_2 #s(literal -2 binary64)))) #s(literal -1 binary64)))

Compiler

Compiled 1035 to 691 computations (33.2% saved)

simplify154.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	cost-diff	0	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) a)
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
✓	cost-diff	0	(*.f64 b_2 #s(literal -2 binary64))
✓	cost-diff	0	(+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2))
✓	cost-diff	0	(/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)) c)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)) c))
✓	cost-diff	0	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
✓	cost-diff	0	(*.f64 c #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
✓	cost-diff	0	(+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) a)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	cost-diff	0	(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))) #s(literal -1/2 binary64))
✓	cost-diff	0	(-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))) #s(literal -1/2 binary64)) b_2)
✓	cost-diff	0	(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))) #s(literal -1/2 binary64)) b_2) a)

Rules

2132×	`sum3-define`
1802×	`fma-define`
1308×	`sum5-define`
1200×	`-lowering-.f32`
1200×	`-lowering-.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	203
1	71	201
2	130	191
3	243	191
4	469	191
5	854	191
6	1431	191
7	2357	191
8	4030	191
9	5817	191
10	7766	191
0	8009	191

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (- (pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2) b_2) a)
(- (pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2) b_2)
(pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2)
(/ 1 (- (* b_2 b_2) (* a c)))
1
(- (* b_2 b_2) (* a c))
(* b_2 b_2)
b_2
(* a c)
a
c
-1/2
(* (/ -2 a) b_2)
(/ -2 a)
-2
a
b_2
(+ (/ (* c 1/2) b_2) (/ (* b_2 -2) a))
(/ (* c 1/2) b_2)
(* c 1/2)
c
1/2
b_2
(/ (* b_2 -2) a)
(* b_2 -2)
-2
a
(/ 1 (/ (+ (* b_2 -2) (/ (* 1/2 (* c a)) b_2)) c))
1
(/ (+ (* b_2 -2) (/ (* 1/2 (* c a)) b_2)) c)
(+ (* b_2 -2) (/ (* 1/2 (* c a)) b_2))
(* b_2 -2)
b_2
-2
(/ (* 1/2 (* c a)) b_2)
(* 1/2 (* c a))
1/2
(* c a)
c
a
(* (/ 1 a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
(/ 1 a)
1
a
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
(sqrt (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))
(* b_2 b_2)
b_2
(* a c)
c

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

localize314.0ms (2.2%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.7%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	94.9%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
✓	accuracy	78.4%	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	accuracy	62.4%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 c a))
✓	accuracy	98.6%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)) c))
✓	accuracy	94.1%	(/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)) c)
✓	accuracy	93.9%	(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)
✓	accuracy	100.0%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
✓	accuracy	100.0%	(*.f64 c #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 b_2 #s(literal -2 binary64))
✓	accuracy	100.0%	(+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a))
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) a)
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
✓	accuracy	98.7%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	95.1%	(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))) #s(literal -1/2 binary64)) b_2) a)
✓	accuracy	78.4%	(-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))) #s(literal -1/2 binary64)) b_2)
✓	accuracy	63.0%	(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))) #s(literal -1/2 binary64))

Results

94.0ms	172×	0	valid
70.0ms	43×	2	valid
50.0ms	20×	3	valid
47.0ms	21×	1	valid

Compiler

Compiled 228 to 32 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-pow: 36.0ms (33% of total)

ival-div: 24.0ms (22% of total)

ival-mult: 19.0ms (17.4% of total)

backward-pass: 14.0ms (12.8% of total)

ival-sub: 7.0ms (6.4% of total)

ival-sqrt: 5.0ms (4.6% of total)

ival-add: 3.0ms (2.7% of total)

const: 1.0ms (0.9% of total)

series34.0ms (0.2%)

Counts

21 → 612

Calls

Call 1

Inputs
#<alt (/ (- (pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2) b_2) a)>
#<alt (- (pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2) b_2)>
#<alt (pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2)>
#<alt (/ 1 (- (* b_2 b_2) (* a c)))>
#<alt (* (/ -2 a) b_2)>
#<alt (/ -2 a)>
#<alt (+ (/ (* c 1/2) b_2) (/ (* b_2 -2) a))>
#<alt (/ (* c 1/2) b_2)>
#<alt (* c 1/2)>
#<alt (/ (* b_2 -2) a)>
#<alt (/ 1 (/ (+ (* b_2 -2) (/ (* 1/2 (* c a)) b_2)) c))>
#<alt (/ (+ (* b_2 -2) (/ (* 1/2 (* c a)) b_2)) c)>
#<alt (+ (* b_2 -2) (/ (* 1/2 (* c a)) b_2))>
#<alt (* b_2 -2)>
#<alt (* (/ 1 a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2))>
#<alt (/ 1 a)>
#<alt (- (sqrt (- (* b_2 b_2) (* a c))) b_2)>
#<alt (sqrt (- (* b_2 b_2) (* a c)))>
#<alt (- (* b_2 b_2) (* a c))>
#<alt (/ (* 1/2 (* c a)) b_2)>
#<alt (* 1/2 (* c a))>

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

Calls

153 calls:

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

rewrite377.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

5430×	`-lowering-.f32`
5430×	`-lowering-.f64`
3060×	`+-lowering-+.f64`
3060×	`+-lowering-+.f32`
2738×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	163
1	202	149
2	1878	141
0	10492	141

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 766

Calls

Call 1

Inputs
(/ (- (pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2) b_2) a)
(- (pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2) b_2)
(pow (/ 1 (- (* b_2 b_2) (* a c))) -1/2)
(/ 1 (- (* b_2 b_2) (* a c)))
(* (/ -2 a) b_2)
(/ -2 a)
(+ (/ (* c 1/2) b_2) (/ (* b_2 -2) a))
(/ (* c 1/2) b_2)
(* c 1/2)
(/ (* b_2 -2) a)
(/ 1 (/ (+ (* b_2 -2) (/ (* 1/2 (* c a)) b_2)) c))
(/ (+ (* b_2 -2) (/ (* 1/2 (* c a)) b_2)) c)
(+ (* b_2 -2) (/ (* 1/2 (* c a)) b_2))
(* b_2 -2)
(* (/ 1 a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
(/ 1 a)
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
(sqrt (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))
(/ (* 1/2 (* c a)) b_2)
(* 1/2 (* c a))

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

simplify414.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

5880×	`-lowering-.f32`
5880×	`-lowering-.f64`
3912×	`+-lowering-+.f64`
3912×	`+-lowering-+.f32`
1838×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	868	9178
1	3001	8650
0	8203	8650

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 612

Calls

Call 1

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

Outputs
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (.f64 b_2 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) c))) (/.f64 #s(literal -1 binary64) a))))
(+ (* 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)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (.f64 b_2 (+.f64 (.f64 b_2 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (.f64 c (.f64 c c)))) (/.f64 (.f64 b_2 b_2) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) c)) (sqrt.f64 #s(literal -1 binary64)))))) (/.f64 #s(literal -1 binary64) a))))
(* -1/2 (/ c b_2))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/.f64 (+.f64 (.f64 c #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c c))) (*.f64 b_2 b_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)
(/.f64 (+.f64 (.f64 c #s(literal -1/2 binary64)) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c c))) (.f64 b_2 b_2)) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (.f64 (.f64 a (.f64 c c)) a) c)) (pow.f64 b_2 #s(literal 4 binary64))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 c (.f64 (/.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 #s(literal 5/64 binary64) a)))) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c c))) (.f64 b_2 b_2)) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (.f64 (.f64 a (.f64 c c)) a) c)) (pow.f64 b_2 #s(literal 4 binary64))))) b_2)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(.f64 (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(.f64 (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 b_2 b_2)) (+.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c c))) (pow.f64 b_2 #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(.f64 (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 b_2 b_2)) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c c))) (pow.f64 b_2 #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (.f64 (.f64 a (*.f64 c c)) a) c)) (pow.f64 b_2 #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) b_2))
(* -1/2 (/ c b_2))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c c))) (.f64 b_2 (.f64 b_2 b_2))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (.f64 a (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (.f64 b_2 (.f64 b_2 b_2))) (.f64 (.f64 #s(literal -1/16 binary64) a) (/.f64 (.f64 c (.f64 c c)) (pow.f64 b_2 #s(literal 5 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))))))))
(+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (.f64 a (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (.f64 b_2 (.f64 b_2 b_2))) (.f64 a (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)))) b_2) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 5 binary64))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.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))))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) c))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 b_2 a)))
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(.f64 c (+.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (pow.f64 c #s(literal 5 binary64))))) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c)))))) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b_2 c)))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(.f64 (+.f64 (/.f64 b_2 c) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) b_2) c)) (-.f64 #s(literal 0 binary64) 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 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (-.f64 (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) c)) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)))) (-.f64 #s(literal 0 binary64) c)) b_2) c)) (-.f64 #s(literal 0 binary64) c))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a))) (.f64 (.f64 b_2 b_2) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 b_2 b_2) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (.f64 c (.f64 c c)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a))) (.f64 (.f64 b_2 b_2) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 b_2 b_2) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (.f64 c (.f64 c c)))) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 b_2 b_2) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(.f64 b_2 (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a (.f64 c c)) a)) (pow.f64 b_2 #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(.f64 b_2 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a (.f64 c c)) a)) (pow.f64 b_2 #s(literal 4 binary64))) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2)) (/.f64 (.f64 (.f64 #s(literal -1/16 binary64) (.f64 c (.f64 c c))) (.f64 a (.f64 a a))) (pow.f64 b_2 #s(literal 6 binary64)))))))
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(.f64 (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a (.f64 c c)) a)) (pow.f64 b_2 #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2)))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a (.f64 c c)) a)) (pow.f64 b_2 #s(literal 4 binary64))) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2)) (/.f64 (.f64 (.f64 #s(literal -1/16 binary64) (.f64 c (.f64 c c))) (.f64 a (.f64 a a))) (pow.f64 b_2 #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) b_2))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) b_2))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+.f64 b_2 (.f64 a (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c c))) (.f64 b_2 (*.f64 b_2 b_2))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(+.f64 b_2 (.f64 a (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (.f64 a (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (.f64 b_2 (.f64 b_2 b_2))) (.f64 (.f64 #s(literal -1/16 binary64) a) (/.f64 (.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 5 binary64)))))))))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) c))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(.f64 a (+.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) c))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (.f64 c (.f64 c c)))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 a (+.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (.f64 c (.f64 c c))))) (+.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) c))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64))))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (.f64 c (.f64 c c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
(.f64 (+.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64))))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (.f64 c (.f64 c c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))))) (-.f64 #s(literal 0 binary64) a))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) b_2))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+.f64 b_2 (.f64 c (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c (.f64 a a))) (.f64 b_2 (*.f64 b_2 b_2))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(+.f64 b_2 (.f64 c (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) (.f64 c (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 (.f64 (.f64 #s(literal -1/16 binary64) c) (.f64 a (*.f64 a a))) (pow.f64 b_2 #s(literal 5 binary64))))))))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(.f64 c (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 c (+.f64 (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 c (+.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (pow.f64 c #s(literal 5 binary64))))) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c)))))) (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64))))))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (*.f64 c c)))))))) (-.f64 #s(literal 0 binary64) 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 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))))) (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (pow.f64 c #s(literal 5 binary64))))))) (-.f64 #s(literal 0 binary64) 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 (+.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (pow.f64 c #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))))) (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.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)))))))) (-.f64 #s(literal 0 binary64) c))
(/ -1 (* a c))
(/.f64 #s(literal -1 binary64) (*.f64 c a))
(- (* -1 (/ (pow b_2 2) (* (pow a 2) (pow c 2)))) (/ 1 (* a c)))
(+.f64 (/.f64 (.f64 b_2 b_2) (.f64 #s(literal -1 binary64) (.f64 (.f64 a (.f64 c c)) a))) (/.f64 #s(literal -1 binary64) (.f64 c a)))
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(+ (* (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)))))))
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(+ (* (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)))))))))
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b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
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(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
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(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(.f64 (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a (.f64 c c)) a)) (pow.f64 b_2 #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2)))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
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b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) b_2))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
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(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(+.f64 b_2 (.f64 a (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (.f64 a (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (.f64 b_2 (.f64 b_2 b_2))) (.f64 (.f64 #s(literal -1/16 binary64) a) (/.f64 (.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 5 binary64)))))))))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (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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(* 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))))))
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(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (.f64 c (.f64 c c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))))) (-.f64 #s(literal 0 binary64) a))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
(.f64 (+.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64))))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (.f64 c (.f64 c c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))))) (-.f64 #s(literal 0 binary64) a))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) b_2))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+.f64 b_2 (.f64 c (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c (.f64 a a))) (.f64 b_2 (*.f64 b_2 b_2))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(+.f64 b_2 (.f64 c (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) (.f64 c (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 (.f64 (.f64 #s(literal -1/16 binary64) c) (.f64 a (*.f64 a a))) (pow.f64 b_2 #s(literal 5 binary64))))))))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(.f64 c (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 c (+.f64 (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))))) (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 c (+.f64 (.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (pow.f64 c #s(literal 5 binary64))))) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c)))))) (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64))))))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (*.f64 c c)))))))) (-.f64 #s(literal 0 binary64) 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 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))))) (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (pow.f64 c #s(literal 5 binary64))))))) (-.f64 #s(literal 0 binary64) 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 (+.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (pow.f64 c #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))))) (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.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)))))))) (-.f64 #s(literal 0 binary64) c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(- (pow b_2 2) (* a c))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(- (pow b_2 2) (* a c))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(- (pow b_2 2) (* a c))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(pow b_2 2)
(*.f64 b_2 b_2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 c a) (.f64 b_2 b_2))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 c a) (.f64 b_2 b_2))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 c a) (.f64 b_2 b_2))))
(pow b_2 2)
(*.f64 b_2 b_2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 c a) (.f64 b_2 b_2))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 c a) (.f64 b_2 b_2))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 c a) (.f64 b_2 b_2))))
(pow b_2 2)
(*.f64 b_2 b_2)
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(* a (- (/ (pow b_2 2) a) c))
(.f64 a (-.f64 (/.f64 (.f64 b_2 b_2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(.f64 a (-.f64 (/.f64 (.f64 b_2 b_2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(.f64 a (-.f64 (/.f64 (.f64 b_2 b_2) a) c))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(.f64 a (-.f64 (/.f64 (.f64 b_2 b_2) a) c))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(.f64 a (-.f64 (/.f64 (.f64 b_2 b_2) a) c))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(.f64 a (-.f64 (/.f64 (.f64 b_2 b_2) a) c))
(pow b_2 2)
(*.f64 b_2 b_2)
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(+ (* -1 (* a c)) (pow b_2 2))
(-.f64 (.f64 b_2 b_2) (.f64 c a))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(* c (- (/ (pow b_2 2) c) a))
(.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))
(* -1 (* a c))
(-.f64 #s(literal 0 binary64) (*.f64 c a))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))
(* 1/2 (/ (* a c) b_2))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)
(* 1/2 (/ (* a c) b_2))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)
(* 1/2 (* a c))
(.f64 #s(literal 1/2 binary64) (.f64 c a))
(* 1/2 (* a c))
(.f64 #s(literal 1/2 binary64) (.f64 c a))
(* 1/2 (* a c))
(.f64 #s(literal 1/2 binary64) (.f64 c a))
(* 1/2 (* a c))
(.f64 #s(literal 1/2 binary64) (.f64 c a))
(* 1/2 (* a c))
(.f64 #s(literal 1/2 binary64) (.f64 c a))
(* 1/2 (* a c))
(.f64 #s(literal 1/2 binary64) (.f64 c a))
(* 1/2 (* a c))
(.f64 #s(literal 1/2 binary64) (.f64 c a))
(* 1/2 (* a c))
(.f64 #s(literal 1/2 binary64) (.f64 c a))
(* 1/2 (* a c))
(.f64 #s(literal 1/2 binary64) (.f64 c a))
(* 1/2 (* a c))
(.f64 #s(literal 1/2 binary64) (.f64 c a))
(* 1/2 (* a c))
(.f64 #s(literal 1/2 binary64) (.f64 c a))
(* 1/2 (* a c))
(.f64 #s(literal 1/2 binary64) (.f64 c a))
(* 1/2 (* a c))
(.f64 #s(literal 1/2 binary64) (.f64 c a))
(* 1/2 (* a c))
(.f64 #s(literal 1/2 binary64) (.f64 c a))
(* 1/2 (* a c))
(.f64 #s(literal 1/2 binary64) (.f64 c a))
(* 1/2 (* a c))
(.f64 #s(literal 1/2 binary64) (.f64 c a))
(* 1/2 (* a c))
(.f64 #s(literal 1/2 binary64) (.f64 c a))
(* 1/2 (* a c))
(.f64 #s(literal 1/2 binary64) (.f64 c a))
(* 1/2 (* a c))
(.f64 #s(literal 1/2 binary64) (.f64 c a))
(* 1/2 (* a c))
(.f64 #s(literal 1/2 binary64) (.f64 c a))
(* 1/2 (* a c))
(.f64 #s(literal 1/2 binary64) (.f64 c a))
(* 1/2 (* a c))
(.f64 #s(literal 1/2 binary64) (.f64 c a))
(* 1/2 (* a c))
(.f64 #s(literal 1/2 binary64) (.f64 c a))
(* 1/2 (* a c))
(.f64 #s(literal 1/2 binary64) (.f64 c a))

eval222.0ms (1.6%)

Compiler: Compiled 34617 to 3531 computations (89.8% saved)

prune216.0ms (1.5%)

Pruning

45 alts after pruning (42 fresh and 3 done)

	Pruned	Kept	Total
New	1484	22	1506
Fresh	6	20	26
Picked	4	1	5
Done	0	2	2
Total	1494	45	1539

Accuracy

94.8%

Counts

1539 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.2%	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 b_2 b_2) (.f64 a c))) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
	31.1%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 b_2 b_2) (.f64 a c))))) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
	35.3%	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 (.f64 a (*.f64 c #s(literal 1/2 binary64))) b_2))) (/.f64 #s(literal 1 binary64) c))
▶	53.2%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
	32.5%	(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (.f64 b_2 b_2) (.f64 a (*.f64 c c))) (/.f64 #s(literal 1 binary64) c)) (-.f64 #s(literal 0 binary64) a)) #s(literal -1/2 binary64)) b_2) a)
	35.0%	(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)) #s(literal -1/2 binary64)) b_2) a)
	35.0%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 c a))))) b_2) a)
✓	53.3%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	35.0%	(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a)
	39.8%	(/.f64 (-.f64 (sqrt.f64 (.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)))) b_2) a)
	14.8%	(/.f64 (+.f64 (.f64 b_2 (/.f64 b_2 (.f64 c #s(literal 1/2 binary64)))) (.f64 (/.f64 a #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 a #s(literal -2 binary64)) (/.f64 b_2 (*.f64 c #s(literal 1/2 binary64)))))
	34.2%	(/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)) a)
	11.5%	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
	35.3%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
▶	2.6%	(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
✓	35.9%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
	35.4%	(/.f64 c (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 (.f64 a (*.f64 c #s(literal 1/2 binary64))) b_2)))
	2.5%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2) c))
▶	35.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 b_2 (.f64 a (*.f64 c #s(literal 1/2 binary64)))))) c))
	35.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 a b_2))) c))
	35.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 (*.f64 a c) (/.f64 #s(literal 1/2 binary64) b_2))) c))
	22.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b_2 a) (+.f64 (.f64 a (.f64 c #s(literal 1/2 binary64))) (.f64 b_2 (*.f64 b_2 #s(literal -2 binary64))))))
	32.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a (+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))) c))
	2.6%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2))
	35.8%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2))
	12.1%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2)))) b_2)))
	35.0%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2)))
▶	35.5%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2)))
	34.5%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) c) (.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (.f64 a (.f64 #s(literal 1/8 binary64) (/.f64 c (.f64 b_2 (.f64 b_2 b_2)))))))))
	53.2%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) a))
	29.8%	(/.f64 #s(literal 1 binary64) (.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (.f64 #s(literal -2 binary64) (/.f64 b_2 (*.f64 c a))))))
	35.7%	(-.f64 #s(literal 0 binary64) (.f64 b_2 (+.f64 (/.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) b_2) (/.f64 #s(literal 2 binary64) a))))
	35.8%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 b_2 (.f64 c #s(literal 1/2 binary64)))) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a))
	35.8%	(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a))
	7.8%	(.f64 (/.f64 c (+.f64 (.f64 (.f64 b_2 (.f64 b_2 b_2)) #s(literal -8 binary64)) (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 c (.f64 c c)) #s(literal 1/8 binary64))) (.f64 b_2 (.f64 b_2 b_2))))) (+.f64 (.f64 (.f64 b_2 b_2) #s(literal 4 binary64)) (/.f64 (-.f64 (/.f64 (.f64 a (.f64 c #s(literal 1/2 binary64))) b_2) (.f64 b_2 #s(literal -2 binary64))) (/.f64 b_2 (.f64 a (*.f64 c #s(literal 1/2 binary64)))))))
	35.7%	(.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 b_2 #s(literal -2 binary64))) #s(literal -1 binary64)))
	29.2%	(.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2))
▶	35.0%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 c a))) b_2))
	32.7%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (.f64 b_2 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (*.f64 b_2 b_2))))))
✓	35.8%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
	34.7%	(.f64 (-.f64 (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 b_2 a)) (/.f64 #s(literal 1 binary64) (.f64 a a)))
	18.3%	(.f64 (exp.f64 (.f64 (log.f64 (/.f64 a #s(literal -2 binary64))) #s(literal -1 binary64))) b_2)
	27.1%	(.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) (*.f64 c a))))
	6.7%	(.f64 b_2 (+.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 (.f64 #s(literal 8 binary64) (.f64 b_2 b_2)) (.f64 c (*.f64 a a)))))
	15.7%	(exp.f64 (.f64 (log.f64 (/.f64 a (.f64 b_2 #s(literal -2 binary64)))) #s(literal -1 binary64)))

Compiler

Compiled 1571 to 1047 computations (33.4% saved)

simplify165.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))
✓	cost-diff	0	(-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) a)
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 c a))) b_2))
✓	cost-diff	0	(+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 b_2 (.f64 a (*.f64 c #s(literal 1/2 binary64))))))
✓	cost-diff	0	(/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 b_2 (.f64 a (*.f64 c #s(literal 1/2 binary64)))))) c)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 b_2 (.f64 a (.f64 c #s(literal 1/2 binary64)))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 b_2 (.f64 a (*.f64 c #s(literal 1/2 binary64)))))) c))
✓	cost-diff	0	(*.f64 b_2 #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) c)
✓	cost-diff	0	(+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2)))
✓	cost-diff	0	(*.f64 b_2 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
✓	cost-diff	0	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) a)
✓	cost-diff	256	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))

Rules

2188×	`fma-define`
1592×	`fma-lowering-fma.f32`
1592×	`fma-lowering-fma.f64`
1424×	`fmsub-define`
1326×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	218
1	89	214
2	178	203
3	388	203
4	784	203
5	1351	203
6	2460	203
7	3766	203
8	6667	203
0	8147	203

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ 1 a) (/ 1 (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))
(/ 1 a)
1
a
(/ 1 (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
(sqrt (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))
(* b_2 b_2)
b_2
(* a c)
c
(/ (* b_2 2) a)
(* b_2 2)
b_2
2
a
(/ 1 (+ (/ (* b_2 -2) c) (/ (* a 1/2) b_2)))
1
(+ (/ (* b_2 -2) c) (/ (* a 1/2) b_2))
(/ (* b_2 -2) c)
(* b_2 -2)
b_2
-2
c
(/ (* a 1/2) b_2)
(* a 1/2)
a
1/2
(/ 1 (/ (+ (* b_2 -2) (/ 1 (/ b_2 (* a (* c 1/2))))) c))
1
(/ (+ (* b_2 -2) (/ 1 (/ b_2 (* a (* c 1/2))))) c)
(+ (* b_2 -2) (/ 1 (/ b_2 (* a (* c 1/2)))))
(* b_2 -2)
b_2
-2
(/ 1 (/ b_2 (* a (* c 1/2))))
(/ b_2 (* a (* c 1/2)))
(* a (* c 1/2))
a
(* c 1/2)
c
1/2
(* (/ 1 a) (- (sqrt (- 0 (* c a))) b_2))
(/ 1 a)
1
a
(- (sqrt (- 0 (* c a))) b_2)
(sqrt (- 0 (* c a)))
(- 0 (* c a))
0
(* c a)
c
b_2

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

localize258.0ms (1.8%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 c a)
✓	accuracy	100.0%	(-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2)
✓	accuracy	99.7%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 c a))) b_2))
✓	accuracy	89.2%	(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 b_2 (.f64 a (.f64 c #s(literal 1/2 binary64)))))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 b_2 (.f64 a (*.f64 c #s(literal 1/2 binary64)))))) c))
✓	accuracy	97.0%	(/.f64 b_2 (.f64 a (.f64 c #s(literal 1/2 binary64))))
✓	accuracy	94.1%	(/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 b_2 (.f64 a (*.f64 c #s(literal 1/2 binary64)))))) c)
✓	accuracy	100.0%	(+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2))
✓	accuracy	100.0%	(*.f64 b_2 #s(literal -2 binary64))
✓	accuracy	100.0%	(*.f64 a #s(literal 1/2 binary64))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2)))
✓	accuracy	100.0%	(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
✓	accuracy	100.0%	(*.f64 b_2 #s(literal 2 binary64))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))
✓	accuracy	97.9%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
✓	accuracy	89.6%	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	accuracy	77.0%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Results

101.0ms	129×	0	valid
45.0ms	30×	2	valid
39.0ms	85×	0	invalid
10.0ms	10×	1	valid
4.0ms	2×	3	valid

Compiler

Compiled 247 to 37 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-mult: 52.0ms (53.1% of total)

ival-div: 23.0ms (23.5% of total)

backward-pass: 8.0ms (8.2% of total)

ival-sub: 6.0ms (6.1% of total)

ival-sqrt: 5.0ms (5.1% of total)

ival-add: 3.0ms (3.1% of total)

const: 1.0ms (1% of total)

series46.0ms (0.3%)

Counts

21 → 612

Calls

Call 1

Inputs
#<alt (/ (/ 1 a) (/ 1 (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))>
#<alt (/ 1 a)>
#<alt (/ 1 (- (sqrt (- (* b_2 b_2) (* a c))) b_2))>
#<alt (- (sqrt (- (* b_2 b_2) (* a c))) b_2)>
#<alt (/ (* b_2 2) a)>
#<alt (* b_2 2)>
#<alt (/ 1 (+ (/ (* b_2 -2) c) (/ (* a 1/2) b_2)))>
#<alt (+ (/ (* b_2 -2) c) (/ (* a 1/2) b_2))>
#<alt (/ (* b_2 -2) c)>
#<alt (* b_2 -2)>
#<alt (/ 1 (/ (+ (* b_2 -2) (/ 1 (/ b_2 (* a (* c 1/2))))) c))>
#<alt (/ 1 (/ b_2 (* a (* c 1/2))))>
#<alt (/ (+ (* b_2 -2) (/ 1 (/ b_2 (* a (* c 1/2))))) c)>
#<alt (+ (* b_2 -2) (/ 1 (/ b_2 (* a (* c 1/2)))))>
#<alt (* (/ 1 a) (- (sqrt (- 0 (* c a))) b_2))>
#<alt (- (sqrt (- 0 (* c a))) b_2)>
#<alt (sqrt (- 0 (* c a)))>
#<alt (sqrt (- (* b_2 b_2) (* a c)))>
#<alt (* a 1/2)>
#<alt (/ b_2 (* a (* c 1/2)))>
#<alt (* c a)>

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

Calls

153 calls:

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

rewrite407.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

5234×	`-lowering-.f32`
5234×	`-lowering-.f64`
2844×	`+-lowering-+.f64`
2844×	`+-lowering-+.f32`
2668×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	161
1	243	151
2	2112	144
0	11788	144

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 812

Calls

Call 1

Inputs
(/ (/ 1 a) (/ 1 (- (sqrt (- (* b_2 b_2) (* a c))) b_2)))
(/ 1 a)
(/ 1 (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
(- (sqrt (- (* b_2 b_2) (* a c))) b_2)
(/ (* b_2 2) a)
(* b_2 2)
(/ 1 (+ (/ (* b_2 -2) c) (/ (* a 1/2) b_2)))
(+ (/ (* b_2 -2) c) (/ (* a 1/2) b_2))
(/ (* b_2 -2) c)
(* b_2 -2)
(/ 1 (/ (+ (* b_2 -2) (/ 1 (/ b_2 (* a (* c 1/2))))) c))
(/ 1 (/ b_2 (* a (* c 1/2))))
(/ (+ (* b_2 -2) (/ 1 (/ b_2 (* a (* c 1/2))))) c)
(+ (* b_2 -2) (/ 1 (/ b_2 (* a (* c 1/2)))))
(* (/ 1 a) (- (sqrt (- 0 (* c a))) b_2))
(- (sqrt (- 0 (* c a))) b_2)
(sqrt (- 0 (* c a)))
(sqrt (- (* b_2 b_2) (* a c)))
(* a 1/2)
(/ b_2 (* a (* c 1/2)))
(* c a)

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

simplify430.0ms (3%)

Algorithm

1×	egg-herbie

Rules

6000×	`-lowering-.f32`
6000×	`-lowering-.f64`
4978×	`+-lowering-+.f64`
4978×	`+-lowering-+.f32`
1510×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	993	8517
1	3525	8106
0	8408	8106

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 612

Calls

Call 1

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

Outputs
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c c))) (.f64 b_2 (.f64 b_2 b_2))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2) (.f64 a (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 a (.f64 c (.f64 c c)))) (pow.f64 b_2 #s(literal 5 binary64))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2) (.f64 a (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (.f64 b_2 (.f64 b_2 b_2))) (.f64 a (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)))) b_2) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 5 binary64))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.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))))
(+.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (.f64 c (.f64 c c)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(-.f64 (/.f64 b_2 (neg.f64 a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(-.f64 (-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 b_2 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2))))) a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(-.f64 (-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 b_2 (/.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2))) (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))))) a)) a))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (.f64 b_2 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (*.f64 a a))))) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) a))))
(+ (* 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)))
(+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (.f64 b_2 (+.f64 (.f64 b_2 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (.f64 c (.f64 c c)))) (/.f64 (.f64 b_2 b_2) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (*.f64 a a))))) (sqrt.f64 #s(literal -1 binary64)))))) (/.f64 #s(literal -1 binary64) a))))
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) c) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c c))) (*.f64 b_2 b_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)
(/.f64 (+.f64 (+.f64 (.f64 #s(literal -1/2 binary64) c) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c c))) (.f64 b_2 b_2))) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a a)) (pow.f64 b_2 #s(literal 4 binary64))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
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(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
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(* -1 (* (sqrt (/ c a)) (sqrt -1)))
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(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
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(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
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(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))
(* -1 (/ b_2 a))
(/.f64 b_2 (neg.f64 a))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
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(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
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(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
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(* -1 (/ b_2 a))
(/.f64 b_2 (neg.f64 a))
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(.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
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(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2))) (-.f64 #s(literal 0 binary64) b_2))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a))) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a))) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a))) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a))) b_2)
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a)))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(.f64 c (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b_2 c)))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(.f64 c (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b_2 c)))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(.f64 c (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b_2 c)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(.f64 (+.f64 (/.f64 b_2 c) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (neg.f64 c))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(.f64 (+.f64 (/.f64 b_2 c) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (neg.f64 c))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(.f64 (+.f64 (/.f64 b_2 c) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (neg.f64 c))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a))) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a))) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a))) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a))) b_2)
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a)))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
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(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
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(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
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(* -1 (* (sqrt (* a c)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a))))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a)) (neg.f64 a))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a)) (neg.f64 a))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a)) (neg.f64 a))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a))) b_2)
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a))) b_2)
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a))) b_2)
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(.f64 b_2 (+.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) b_2) #s(literal -1 binary64)))
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(.f64 b_2 (+.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) b_2) #s(literal -1 binary64)))
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(.f64 b_2 (+.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) b_2) #s(literal -1 binary64)))
(* -1 b_2)
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(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) b_2)) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
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(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) b_2)) (-.f64 #s(literal 0 binary64) b_2))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a))))
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(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a)))
(* (sqrt (* a c)) (sqrt -1))
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(* (sqrt (* a c)) (sqrt -1))
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(* (sqrt (* a c)) (sqrt -1))
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(* (sqrt (* a c)) (sqrt -1))
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(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a)))
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(+ (* (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)))))))
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(+ (* (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)))))))))
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b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(.f64 b_2 (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 c c) (.f64 a a))) (pow.f64 b_2 #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(.f64 b_2 (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 c c) (.f64 a a))) (pow.f64 b_2 #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2)))) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a)))) (pow.f64 b_2 #s(literal 6 binary64)))))
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(.f64 (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 c c) (.f64 a a))) (pow.f64 b_2 #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2)))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 c c) (.f64 a a))) (pow.f64 b_2 #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2)))) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a)))) (pow.f64 b_2 #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) b_2))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) b_2))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+.f64 b_2 (.f64 a (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c c))) (.f64 b_2 (*.f64 b_2 b_2))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(+.f64 b_2 (.f64 a (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2) (.f64 a (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 a (.f64 c (*.f64 c c)))) (pow.f64 b_2 #s(literal 5 binary64))))))))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (.f64 c (.f64 c c)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 a (+.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (.f64 c (.f64 c c)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(-.f64 #s(literal 0 binary64) (.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (.f64 c (.f64 c c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))))) (neg.f64 a))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
(.f64 (+.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (pow.f64 b_2 #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (.f64 c (.f64 c c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))))) (neg.f64 a))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) b_2))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+.f64 b_2 (.f64 c (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) b_2) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c (.f64 a a))) (.f64 b_2 (*.f64 b_2 b_2))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(+.f64 b_2 (.f64 c (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) a) b_2) (.f64 c (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 c (.f64 a (*.f64 a a)))) (pow.f64 b_2 #s(literal 5 binary64))))))))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(.f64 c (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 c (+.f64 (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64))))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 c (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))) (+.f64 (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c)))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)))) (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 (+.f64 (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c)))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (pow.f64 c #s(literal 5 binary64))))))) (neg.f64 c))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(.f64 (+.f64 (+.f64 (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c)))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (pow.f64 c #s(literal 5 binary64))))))) (.f64 #s(literal 1/16 binary64) (.f64 (*.f64 (pow.f64 b_2 #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64))))))) (neg.f64 c))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 2 (/ b_2 (* a c)))
(/.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c a))
(* 2 (/ b_2 (* a c)))
(/.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c a))
(* 2 (/ b_2 (* a c)))
(/.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c a))
(* 2 (/ b_2 (* a c)))
(/.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c a))
(* 2 (/ b_2 (* a c)))
(/.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c a))
(* 2 (/ b_2 (* a c)))
(/.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c a))
(* 2 (/ b_2 (* a c)))
(/.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c a))
(* 2 (/ b_2 (* a c)))
(/.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c a))
(* 2 (/ b_2 (* a c)))
(/.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c a))
(* 2 (/ b_2 (* a c)))
(/.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c a))
(* 2 (/ b_2 (* a c)))
(/.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c a))
(* 2 (/ b_2 (* a c)))
(/.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c a))
(* 2 (/ b_2 (* a c)))
(/.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c a))
(* 2 (/ b_2 (* a c)))
(/.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c a))
(* 2 (/ b_2 (* a c)))
(/.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c a))
(* 2 (/ b_2 (* a c)))
(/.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c a))
(* 2 (/ b_2 (* a c)))
(/.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c a))
(* 2 (/ b_2 (* a c)))
(/.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c a))
(* 2 (/ b_2 (* a c)))
(/.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c a))
(* 2 (/ b_2 (* a c)))
(/.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c a))
(* 2 (/ b_2 (* a c)))
(/.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c a))
(* 2 (/ b_2 (* a c)))
(/.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c a))
(* 2 (/ b_2 (* a c)))
(/.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c a))
(* 2 (/ b_2 (* a c)))
(/.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c a))
(* 2 (/ b_2 (* a c)))
(/.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c a))
(* 2 (/ b_2 (* a c)))
(/.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c a))
(* 2 (/ b_2 (* a c)))
(/.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c a))
(* 2 (/ b_2 (* a c)))
(/.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c a))
(* 2 (/ b_2 (* a c)))
(/.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c a))
(* 2 (/ b_2 (* a c)))
(/.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c a))
(* 2 (/ b_2 (* a c)))
(/.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c a))
(* 2 (/ b_2 (* a c)))
(/.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c a))
(* 2 (/ b_2 (* a c)))
(/.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c a))
(* 2 (/ b_2 (* a c)))
(/.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c a))
(* 2 (/ b_2 (* a c)))
(/.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c a))
(* 2 (/ b_2 (* a c)))
(/.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c a))
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)

eval187.0ms (1.3%)

Compiler: Compiled 31852 to 4112 computations (87.1% saved)

prune272.0ms (1.9%)

Pruning

60 alts after pruning (55 fresh and 5 done)

	Pruned	Kept	Total
New	1447	27	1474
Fresh	9	28	37
Picked	3	2	5
Done	0	3	3
Total	1459	60	1519

Accuracy

99.6%

Counts

1519 → 60

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.2%	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 b_2 b_2) (.f64 a c))) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
	31.1%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (.f64 b_2 b_2) (+.f64 (.f64 b_2 b_2) (.f64 a c))))) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
	29.6%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2)) c))
	35.7%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1/2 binary64) b_2))
	29.7%	(/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b_2 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) (*.f64 c a)))))
	29.2%	(/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 (.f64 c a))))
	32.5%	(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (.f64 b_2 b_2) (.f64 a (*.f64 c c))) (/.f64 #s(literal 1 binary64) c)) (-.f64 #s(literal 0 binary64) a)) #s(literal -1/2 binary64)) b_2) a)
	35.0%	(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 c a)) #s(literal -1/2 binary64)) b_2) a)
	35.0%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 c a))))) b_2) a)
✓	53.3%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	35.0%	(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a)
	39.8%	(/.f64 (-.f64 (sqrt.f64 (.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)))) b_2) a)
	35.0%	(/.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 a c)) b_2) (*.f64 b_2 #s(literal 2 binary64))))
	14.8%	(/.f64 (+.f64 (.f64 b_2 (/.f64 b_2 (.f64 c #s(literal 1/2 binary64)))) (.f64 (/.f64 a #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 a #s(literal -2 binary64)) (/.f64 b_2 (*.f64 c #s(literal 1/2 binary64)))))
	34.2%	(/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)) a)
	11.5%	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
	35.3%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	35.9%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
	35.4%	(/.f64 c (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 (.f64 a (*.f64 c #s(literal 1/2 binary64))) b_2)))
	15.3%	(/.f64 b_2 (neg.f64 a))
	2.5%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2) c))
	24.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 b_2 #s(literal 2 binary64)) b_2) (.f64 (-.f64 #s(literal 0 binary64) c) (.f64 a #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) c) b_2)))
	2.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 b_2 (.f64 b_2 b_2)) #s(literal -8 binary64)) (.f64 c (.f64 c c))) (/.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 b_2 (.f64 b_2 b_2)))) (+.f64 (/.f64 (.f64 (.f64 b_2 b_2) #s(literal 4 binary64)) (.f64 c c)) (/.f64 (-.f64 (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) c)) (/.f64 b_2 (.f64 a #s(literal 1/2 binary64)))))))
✓	35.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 b_2 (.f64 a (*.f64 c #s(literal 1/2 binary64)))))) c))
	34.6%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 a c)) b_2)))) c))
	35.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2) #s(literal -1 binary64))))) c))
	34.6%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 b_2 (.f64 #s(literal 1/2 binary64) (*.f64 a c))))) c))
	35.5%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) b_2) (.f64 c #s(literal 1/2 binary64))) a)) c))
	35.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 (*.f64 a c) (/.f64 #s(literal 1/2 binary64) b_2))) c))
	24.3%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a c)) (.f64 b_2 (.f64 b_2 #s(literal -2 binary64)))) (*.f64 b_2 c)))
	22.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b_2 a) (+.f64 (.f64 a (.f64 c #s(literal 1/2 binary64))) (.f64 b_2 (*.f64 b_2 #s(literal -2 binary64))))))
	2.6%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2))
	35.8%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2))
	12.1%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2)))) b_2)))
	35.0%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2)))
	35.0%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2)))
	35.0%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) c) (.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 1/2 binary64) b_2))))
	34.5%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) c) (.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (.f64 a (.f64 #s(literal 1/8 binary64) (/.f64 c (.f64 b_2 (.f64 b_2 b_2)))))))))
	35.2%	(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2)) (+.f64 (.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) b_2)) a) (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2))))
	35.5%	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 (/.f64 #s(literal -2 binary64) c) b_2) (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2)))
	24.3%	(/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a c)) (.f64 b_2 (.f64 b_2 #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 b_2 c))))
	29.8%	(/.f64 #s(literal 1 binary64) (.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (.f64 #s(literal -2 binary64) (/.f64 b_2 (*.f64 c a))))))
	35.7%	(-.f64 #s(literal 0 binary64) (.f64 b_2 (+.f64 (/.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) b_2) (/.f64 #s(literal 2 binary64) a))))
	35.8%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 b_2 (.f64 c #s(literal 1/2 binary64)))) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a))
	35.8%	(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a))
	11.3%	(.f64 (/.f64 c (+.f64 (.f64 (.f64 b_2 (.f64 b_2 b_2)) #s(literal -8 binary64)) (/.f64 (.f64 (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) #s(literal 1/8 binary64)) (.f64 b_2 (.f64 b_2 b_2))))) (+.f64 (.f64 (.f64 b_2 b_2) #s(literal 4 binary64)) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 a c)) b_2) (.f64 b_2 #s(literal -2 binary64))) (/.f64 b_2 (.f64 #s(literal 1/2 binary64) (*.f64 a c))))))
	2.6%	(*.f64 (/.f64 #s(literal 2 binary64) a) b_2)
	34.9%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 a c)) b_2) (.f64 b_2 #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) c))
	28.2%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (pow.f64 (.f64 a (.f64 c (.f64 a c))) #s(literal 1/4 binary64)) b_2))
	15.9%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) c)) (sqrt.f64 a)) b_2))
	23.0%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 c)) b_2))
	22.4%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 a c) (.f64 a (.f64 c (*.f64 a c))))))) b_2))
✓	35.0%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 c a))) b_2))
	32.7%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (.f64 b_2 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (*.f64 b_2 b_2))))))
✓	35.8%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
	34.7%	(.f64 (-.f64 (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 b_2 a)) (/.f64 #s(literal 1 binary64) (.f64 a a)))
	18.3%	(.f64 (exp.f64 (.f64 (log.f64 (/.f64 a #s(literal -2 binary64))) #s(literal -1 binary64))) b_2)
	27.1%	(.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) (*.f64 c a))))
	2.6%	(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
	4.3%	(exp.f64 (.f64 (log.f64 (/.f64 a (.f64 b_2 #s(literal 2 binary64)))) #s(literal -1 binary64)))

Compiler

Compiled 2700 to 1158 computations (57.1% saved)

regimes131.0ms (0.9%)

Counts

95 → 3

Calls

Call 1

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

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

Calls

4 calls:

40.0ms	a
26.0ms	b_2
26.0ms	c
25.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
58.0%	3	`a`
90.1%	3	`b_2`
55.6%	2	`c`
78.0%	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes30.0ms (0.2%)

Counts

74 → 3

Calls

Call 1

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

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

Calls

1 calls:

21.0ms

b_2

Results

Accuracy	Segments	Branch
90.1%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes33.0ms (0.2%)

Counts

71 → 3

Calls

Call 1

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

Outputs

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

(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2)))

(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)

Calls

1 calls:

24.0ms

b_2

Results

Accuracy	Segments	Branch
85.1%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes41.0ms (0.3%)

Counts

70 → 3

Calls

Call 1

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

Outputs

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

(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a)

(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)

Calls

1 calls:

33.0ms

b_2

Results

Accuracy	Segments	Branch
85.1%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes24.0ms (0.2%)

Counts

66 → 2

Calls

Call 1

Inputs
(/.f64 b_2 (neg.f64 a))
(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 #s(literal 2 binary64) a) b_2)
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(/.f64 (-.f64 b_2 b_2) a)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1/2 binary64) b_2))
(/.f64 (/.f64 (.f64 c (.f64 a #s(literal -1/2 binary64))) b_2) a)
(.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a))
(+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a))
(-.f64 #s(literal 0 binary64) (.f64 b_2 (/.f64 (.f64 #s(literal -1/2 binary64) c) (*.f64 b_2 b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2) c))
(/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 (.f64 c a))))
(.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) (*.f64 c a))))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 b_2 (.f64 c #s(literal 1/2 binary64)))) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a))
(/.f64 #s(literal 1 binary64) (+.f64 (.f64 (/.f64 #s(literal -2 binary64) c) b_2) (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2)))
(/.f64 c (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 (.f64 a (*.f64 c #s(literal 1/2 binary64))) b_2)))
(/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)) a)
(/.f64 (-.f64 (+.f64 b_2 (/.f64 (.f64 c (.f64 a #s(literal -1/2 binary64))) b_2)) b_2) a)
(-.f64 #s(literal 0 binary64) (.f64 b_2 (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a))))
(-.f64 #s(literal 0 binary64) (.f64 b_2 (+.f64 (/.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) b_2) (/.f64 #s(literal 2 binary64) a))))
(/.f64 #s(literal 1 binary64) (.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (.f64 #s(literal -2 binary64) (/.f64 b_2 (*.f64 c a))))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) c) (.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 1/2 binary64) b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 (*.f64 a c) (/.f64 #s(literal 1/2 binary64) b_2))) c))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 (*.f64 c #s(literal 1/2 binary64)) (/.f64 a b_2))) c))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)) c))
(/.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 a c)) b_2) (*.f64 b_2 #s(literal 2 binary64))))
(.f64 b_2 (+.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 (.f64 #s(literal 8 binary64) (.f64 b_2 b_2)) (.f64 c (*.f64 a a)))))
(.f64 c (+.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c a)) (.f64 b_2 (*.f64 b_2 b_2)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 a c)) b_2) (.f64 b_2 #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) c))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a (+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))) c))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b_2 a) (+.f64 (.f64 a (.f64 c #s(literal 1/2 binary64))) (.f64 b_2 (*.f64 b_2 #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a c)) (.f64 b_2 (.f64 b_2 #s(literal -2 binary64)))) (*.f64 b_2 c)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) b_2) (.f64 c #s(literal 1/2 binary64))) a)) c))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 b_2 (.f64 #s(literal 1/2 binary64) (*.f64 a c))))) c))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 b_2 (.f64 a (*.f64 c #s(literal 1/2 binary64)))))) c))
(/.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2))) (-.f64 #s(literal 0 binary64) b_2)) a)
(/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b_2 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) (*.f64 c a)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2)) c))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 (.f64 a (*.f64 c #s(literal 1/2 binary64))) b_2))) (/.f64 #s(literal 1 binary64) c))
(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (.f64 b_2 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (*.f64 b_2 b_2))))))
(+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/8 binary64) c) c) a) (.f64 b_2 (.f64 b_2 b_2))))
(-.f64 #s(literal 0 binary64) (.f64 b_2 (/.f64 (+.f64 (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) a) (.f64 b_2 #s(literal 2 binary64))) (*.f64 a b_2))))
(/.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a c)) (.f64 b_2 (.f64 b_2 #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 b_2 c))))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2)))) b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 a c)) b_2)))) c))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2))) (-.f64 #s(literal 0 binary64) b_2)) b_2) a)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 b_2 #s(literal 2 binary64)) b_2) (.f64 (-.f64 #s(literal 0 binary64) c) (.f64 a #s(literal 1/2 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) c) b_2)))
(/.f64 (+.f64 (.f64 b_2 (/.f64 b_2 (.f64 c #s(literal 1/2 binary64)))) (.f64 (/.f64 a #s(literal -2 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 a #s(literal -2 binary64)) (/.f64 b_2 (*.f64 c #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (+.f64 (.f64 c (.f64 a #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c (.f64 c (.f64 a a)))) (*.f64 b_2 b_2))) b_2) a)
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) c) (.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (.f64 a (.f64 #s(literal 1/8 binary64) (/.f64 c (.f64 b_2 (.f64 b_2 b_2)))))))))
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2)) (+.f64 (.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) b_2)) a) (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2))))
(/.f64 (-.f64 (+.f64 b_2 (.f64 c (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c (.f64 a a))) (.f64 b_2 (*.f64 b_2 b_2)))))) b_2) a)
(.f64 (/.f64 c (+.f64 (.f64 (.f64 b_2 (.f64 b_2 b_2)) #s(literal -8 binary64)) (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 c (.f64 c c)) #s(literal 1/8 binary64))) (.f64 b_2 (.f64 b_2 b_2))))) (+.f64 (.f64 (.f64 b_2 b_2) #s(literal 4 binary64)) (/.f64 (-.f64 (/.f64 (.f64 a (.f64 c #s(literal 1/2 binary64))) b_2) (.f64 b_2 #s(literal -2 binary64))) (/.f64 b_2 (.f64 a (*.f64 c #s(literal 1/2 binary64)))))))
(.f64 (/.f64 c (+.f64 (.f64 (.f64 b_2 (.f64 b_2 b_2)) #s(literal -8 binary64)) (/.f64 (.f64 (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) #s(literal 1/8 binary64)) (.f64 b_2 (.f64 b_2 b_2))))) (+.f64 (.f64 (.f64 b_2 b_2) #s(literal 4 binary64)) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 a c)) b_2) (.f64 b_2 #s(literal -2 binary64))) (/.f64 b_2 (.f64 #s(literal 1/2 binary64) (*.f64 a c))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 b_2 (.f64 b_2 b_2)) #s(literal -8 binary64)) (.f64 c (.f64 c c))) (/.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 b_2 (.f64 b_2 b_2)))) (+.f64 (/.f64 (.f64 (.f64 b_2 b_2) #s(literal 4 binary64)) (.f64 c c)) (/.f64 (-.f64 (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) c)) (/.f64 b_2 (.f64 a #s(literal 1/2 binary64)))))))

Outputs

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

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

Calls

1 calls:

19.0ms

b_2

Results

Accuracy	Segments	Branch
68.9%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

Counts

24 → 2

Calls

Call 1

Inputs
(/.f64 b_2 (neg.f64 a))
(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 #s(literal 2 binary64) a) b_2)
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(/.f64 (-.f64 b_2 b_2) a)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1/2 binary64) b_2))
(/.f64 (/.f64 (.f64 c (.f64 a #s(literal -1/2 binary64))) b_2) a)
(.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a))
(+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a))
(-.f64 #s(literal 0 binary64) (.f64 b_2 (/.f64 (.f64 #s(literal -1/2 binary64) c) (*.f64 b_2 b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2) c))
(/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 (.f64 c a))))
(.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) (*.f64 c a))))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 b_2 (.f64 c #s(literal 1/2 binary64)))) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a))
(/.f64 #s(literal 1 binary64) (+.f64 (.f64 (/.f64 #s(literal -2 binary64) c) b_2) (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2)))

Outputs

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

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

Calls

1 calls:

10.0ms

b_2

Results

Accuracy	Segments	Branch
68.8%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Counts

23 → 2

Calls

Call 1

Inputs
(/.f64 b_2 (neg.f64 a))
(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 #s(literal 2 binary64) a) b_2)
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(/.f64 (-.f64 b_2 b_2) a)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1/2 binary64) b_2))
(/.f64 (/.f64 (.f64 c (.f64 a #s(literal -1/2 binary64))) b_2) a)
(.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 c a)) b_2))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a))
(+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a))
(-.f64 #s(literal 0 binary64) (.f64 b_2 (/.f64 (.f64 #s(literal -1/2 binary64) c) (*.f64 b_2 b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2) c))
(/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 (.f64 c a))))
(.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) (*.f64 c a))))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 b_2 (.f64 c #s(literal 1/2 binary64)))) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a))

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

Calls

1 calls:

7.0ms

b_2

Results

Accuracy	Segments	Branch
68.8%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

b_2

Results

Accuracy	Segments	Branch
68.6%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	a
3.0ms	c
3.0ms	b_2

Results

Accuracy	Segments	Branch
35.9%	1	`c`
35.9%	1	`a`
35.9%	1	`b_2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes16.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	b_2
2.0ms	c
2.0ms	a

Results

Accuracy	Segments	Branch
35.8%	1	`b_2`
35.8%	1	`a`
35.8%	1	`c`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Accuracy

Total -8.7b remaining (-16%)

Threshold costs -8.7b (-16%)

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 b_2 (neg.f64 a))
(*.f64 #s(literal 2 binary64) (/.f64 b_2 a))

Outputs
(/.f64 b_2 (neg.f64 a))

Calls

3 calls:

2.0ms	a
2.0ms	b_2
2.0ms	c

Results

Accuracy	Segments	Branch
15.3%	1	`b_2`
15.3%	1	`a`
15.3%	1	`c`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch58.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
33.0ms	1.5046034467394723e-29	3.575829609812199e-24
20.0ms	-2.1544424361038786e+168	-4.874013982462092e+159

Results

21.0ms	220×	0	valid
11.0ms	38×	2	valid
8.0ms	30×	1	valid
3.0ms	33×	0	invalid

Compiler

Compiled 508 to 339 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 6.0ms (27.4% of total)

ival-sqrt: 3.0ms (13.7% of total)

ival-div: 3.0ms (13.7% of total)

ival-neg: 3.0ms (13.7% of total)

ival-sub: 2.0ms (9.1% of total)

backward-pass: 2.0ms (9.1% of total)

ival-add: 2.0ms (9.1% of total)

const: 0.0ms (0% of total)

bsearch67.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
32.0ms	1.5046034467394723e-29	3.575829609812199e-24
29.0ms	-2.1544424361038786e+168	-4.874013982462092e+159

Results

22.0ms	210×	0	valid
9.0ms	34×	2	valid
8.0ms	44×	1	valid
3.0ms	37×	0	invalid

Compiler

Compiled 472 to 321 computations (32% saved)

Precisions

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

ival-mult: 6.0ms (26.1% of total)

ival-sqrt: 3.0ms (13% of total)

ival-div: 3.0ms (13% of total)

ival-neg: 3.0ms (13% of total)

backward-pass: 2.0ms (8.7% of total)

ival-sub: 2.0ms (8.7% of total)

ival-add: 2.0ms (8.7% of total)

const: 0.0ms (0% of total)

bsearch92.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
33.0ms	1.5046034467394723e-29	3.575829609812199e-24
37.0ms	-2.0519126540227164e-33	-5.4626617030730886e-45

Results

22.0ms	236×	0	valid
11.0ms	41×	2	valid
5.0ms	67×	0	invalid
5.0ms	27×	1	valid

Compiler

Compiled 557 to 416 computations (25.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 7.0ms (26.6% of total)

ival-neg: 5.0ms (19% of total)

ival-div: 4.0ms (15.2% of total)

ival-sqrt: 4.0ms (15.2% of total)

ival-add: 3.0ms (11.4% of total)

backward-pass: 2.0ms (7.6% of total)

ival-sub: 2.0ms (7.6% of total)

const: 0.0ms (0% of total)

bsearch63.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
35.0ms	1.5046034467394723e-29	3.575829609812199e-24
23.0ms	-2.0519126540227164e-33	-5.4626617030730886e-45

Results

21.0ms	235×	0	valid
13.0ms	30×	2	valid
7.0ms	39×	1	valid
5.0ms	61×	0	invalid

Compiler

Compiled 519 to 378 computations (27.2% saved)

Precisions

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

ival-mult: 7.0ms (30% of total)

ival-sqrt: 4.0ms (17.1% of total)

ival-div: 4.0ms (17.1% of total)

ival-neg: 3.0ms (12.9% of total)

ival-sub: 2.0ms (8.6% of total)

backward-pass: 2.0ms (8.6% of total)

ival-add: 2.0ms (8.6% of total)

const: 0.0ms (0% of total)

bsearch59.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	-9.76958619491793e-306	2.2378406840156082e-305

Results

14.0ms	144×	0	valid
5.0ms	64×	0	invalid

Compiler

Compiled 310 to 231 computations (25.5% saved)

Precisions

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

ival-mult: 5.0ms (43.9% of total)

ival-div: 2.0ms (17.6% of total)

ival-sqrt: 2.0ms (17.6% of total)

ival-sub: 1.0ms (8.8% of total)

ival-add: 1.0ms (8.8% of total)

ival-neg: 1.0ms (8.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch27.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	-9.76958619491793e-306	2.2378406840156082e-305

Results

12.0ms	144×	0	valid
5.0ms	57×	0	invalid

Compiler

Compiled 310 to 231 computations (25.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 3.0ms (31% of total)

ival-sqrt: 2.0ms (20.7% of total)

ival-sub: 1.0ms (10.3% of total)

ival-div: 1.0ms (10.3% of total)

ival-add: 1.0ms (10.3% of total)

ival-neg: 1.0ms (10.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch29.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	-9.76958619491793e-306	2.2378406840156082e-305

Results

14.0ms	144×	0	valid
6.0ms	78×	0	invalid

Compiler

Compiled 238 to 177 computations (25.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 3.0ms (28.9% of total)

ival-div: 2.0ms (19.3% of total)

ival-sqrt: 2.0ms (19.3% of total)

ival-sub: 1.0ms (9.6% of total)

ival-add: 1.0ms (9.6% of total)

ival-neg: 1.0ms (9.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch26.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	1.7847566349926727e-259	2.7957765114718444e-250

Results

13.0ms	142×	0	valid
5.0ms	56×	0	invalid
0.0ms	2×	1	valid

Compiler

Compiled 184 to 141 computations (23.4% saved)

Precisions

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

ival-mult: 3.0ms (31.8% of total)

ival-div: 1.0ms (10.6% of total)

ival-add: 1.0ms (10.6% of total)

ival-sub: 1.0ms (10.6% of total)

ival-sqrt: 1.0ms (10.6% of total)

ival-neg: 1.0ms (10.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
24×	`+-commutative_binary64`
18×	`sub-neg_binary64`
10×	`neg-mul-1_binary64`
8×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	234
1	109	234
2	127	234
3	135	234
4	138	234

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -5000000000000000032642038725341132784228321074443133559224422272760255888919090571255168754994433517908171235093587892596875058824271765178092274325219140698112 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 1742245718635205/696898287454081973172991196020261297061888 binary64)) (-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -5000000000000000032642038725341132784228321074443133559224422272760255888919090571255168754994433517908171235093587892596875058824271765178092274325219140698112 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 6097860015223217/87112285931760246646623899502532662132736 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -496910556692507/2923003274661805836407369665432566039311865085952 binary64)) (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a)) (if (<=.f64 b_2 #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 c a))) b_2))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -4707826301540011/1569275433846670190958947355801916604025588861116008628224 binary64)) (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a)) (if (<=.f64 b_2 #s(literal 7491656590131381/174224571863520493293247799005065324265472 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 c a))) b_2) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -3643240559531591/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (/.f64 #s(literal -2 binary64) c) b_2) (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal 1558003967662813/8655577598126739396236735036072208081204794589775815018544508256693025219489380097628852320463375366466345287569524796274808382414891999842312830623136802028067007430639699299020497185610570810212749031968132110813561295548441587529128294789399125630804600109428539364737024 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(/.f64 b_2 (neg.f64 a))

Outputs
(if (<=.f64 b_2 #s(literal -5000000000000000032642038725341132784228321074443133559224422272760255888919090571255168754994433517908171235093587892596875058824271765178092274325219140698112 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 1742245718635205/696898287454081973172991196020261297061888 binary64)) (-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -5000000000000000032642038725341132784228321074443133559224422272760255888919090571255168754994433517908171235093587892596875058824271765178092274325219140698112 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 6097860015223217/87112285931760246646623899502532662132736 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -496910556692507/2923003274661805836407369665432566039311865085952 binary64)) (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a)) (if (<=.f64 b_2 #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 c a))) b_2))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -496910556692507/2923003274661805836407369665432566039311865085952 binary64)) (+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (.f64 c (/.f64 #s(literal 1/2 binary64) b_2))) (if (<=.f64 b_2 #s(literal 1742245718635205/87112285931760246646623899502532662132736 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c))) b_2))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -4707826301540011/1569275433846670190958947355801916604025588861116008628224 binary64)) (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a)) (if (<=.f64 b_2 #s(literal 7491656590131381/174224571863520493293247799005065324265472 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 c a))) b_2) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -4707826301540011/1569275433846670190958947355801916604025588861116008628224 binary64)) (+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (.f64 c (/.f64 #s(literal 1/2 binary64) b_2))) (if (<=.f64 b_2 #s(literal 7491656590131381/174224571863520493293247799005065324265472 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c))) b_2) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (.f64 c (/.f64 #s(literal 1/2 binary64) b_2))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) c) (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -3643240559531591/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (/.f64 #s(literal -2 binary64) c) b_2) (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -3643240559531591/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (.f64 c (/.f64 #s(literal 1/2 binary64) b_2))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2) (.f64 b_2 (/.f64 #s(literal -2 binary64) c)))))
(if (<=.f64 b_2 #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (.f64 c (/.f64 #s(literal 1/2 binary64) b_2))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal 1558003967662813/8655577598126739396236735036072208081204794589775815018544508256693025219489380097628852320463375366466345287569524796274808382414891999842312830623136802028067007430639699299020497185610570810212749031968132110813561295548441587529128294789399125630804600109428539364737024 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(/.f64 b_2 (neg.f64 a))
(/.f64 b_2 (-.f64 #s(literal 0 binary64) a))

soundness3.7s (26.4%)

Rules

6822×	`-lowering-.f32`
6822×	`-lowering-.f64`
6000×	`-lowering-.f32`
6000×	`-lowering-.f64`
5880×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1059	12113
1	3799	11139
0	8316	11139
0	31	163
1	202	149
2	1878	141
0	10492	141
0	39	212
1	262	196
2	2592	185
0	8308	185
0	993	8517
1	3525	8106
0	8408	8106
0	10	12
1	24	11
2	43	10
3	81	10
4	145	10
5	290	10
6	566	10
7	1127	10
8	1927	10
9	2983	10
10	4010	10
11	4091	10
12	4110	10
13	4118	10
0	4118	10
0	9	33
1	65	33
2	499	29
3	7235	29
0	8596	29
0	36	161
1	243	151
2	2112	144
0	11788	144
0	508	2984
1	1738	2788
2	6462	2763
0	8034	2763
0	868	9178
1	3001	8650
0	8203	8650

Stop Event

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

Compiler

Compiled 1094 to 647 computations (40.9% saved)

preprocess117.0ms (0.8%)

Compiler: Compiled 696 to 226 computations (67.5% saved)

analyze160.0ms (1.1%)

sample1.9s (13.6%)

preprocess140.0ms (1%)

explain201.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify90.0ms (0.6%)

localize71.0ms (0.5%)

series17.0ms (0.1%)

rewrite735.0ms (5.2%)

simplify338.0ms (2.4%)

eval65.0ms (0.5%)

prune130.0ms (0.9%)

simplify154.0ms (1.1%)

localize387.0ms (2.7%)

series119.0ms (0.8%)

rewrite327.0ms (2.3%)

simplify426.0ms (3%)

eval281.0ms (2%)

prune475.0ms (3.4%)

simplify154.0ms (1.1%)

localize314.0ms (2.2%)

series34.0ms (0.2%)

rewrite377.0ms (2.7%)

simplify414.0ms (2.9%)

eval222.0ms (1.6%)

prune216.0ms (1.5%)

simplify165.0ms (1.2%)

localize258.0ms (1.8%)

series46.0ms (0.3%)

rewrite407.0ms (2.9%)

simplify430.0ms (3%)

eval187.0ms (1.3%)

prune272.0ms (1.9%)

regimes131.0ms (0.9%)

regimes30.0ms (0.2%)

regimes33.0ms (0.2%)

regimes41.0ms (0.3%)

regimes24.0ms (0.2%)

regimes12.0ms (0.1%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes16.0ms (0.1%)

regimes5.0ms (0%)

bsearch58.0ms (0.4%)

bsearch67.0ms (0.5%)

bsearch92.0ms (0.7%)

bsearch63.0ms (0.4%)

bsearch59.0ms (0.4%)

bsearch27.0ms (0.2%)

bsearch29.0ms (0.2%)

bsearch26.0ms (0.2%)

simplify17.0ms (0.1%)

soundness3.7s (26.4%)

preprocess117.0ms (0.8%)

end0.0ms (0%)

Profiling