Metrics for quad2p (problem 3.2.1, positive)

analyze179.0ms (1.4%)

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: 62.0ms

ival-mult: 20.0ms (32.5% of total)

ival-sqrt: 10.0ms (16.2% of total)

ival-sub: 8.0ms (13% of total)

ival-div: 8.0ms (13% of total)

ival-add: 7.0ms (11.4% of total)

ival-neg: 7.0ms (11.4% of total)

const: 1.0ms (1.6% of total)

backward-pass: 1.0ms (1.6% of total)

sample2.5s (19.5%)

Results

1.1s	5502×	0	valid
743.0ms	1927×	2	valid
161.0ms	827×	1	valid
128.0ms	1130×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-mult: 674.0ms (47.7% of total)

ival-sqrt: 181.0ms (12.8% of total)

ival-div: 150.0ms (10.6% of total)

backward-pass: 127.0ms (9% of total)

ival-neg: 111.0ms (7.8% of total)

ival-add: 88.0ms (6.2% of total)

ival-sub: 76.0ms (5.4% of total)

const: 8.0ms (0.6% of total)

Bogosity

preprocess125.0ms (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)

explain194.0ms (1.5%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
118	0	-	2	(-1.7754880126572379e-158 -9.058178718718529e-156 1.911330748634435e-273)	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
61	0	-	0	-	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
10	1	(-3.211891627410065e-139 3.584635069441916e+50 3.2617299257587404e-273)	1	(-1.085598463161464e-105 3.3747198010675645e+54 -3.606077212758146e-157)	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
2	0	-	0	-	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`
0	0	-	0	-	`c`
0	0	-	0	-	`(*.f64 a c)`
0	0	-	0	-	`b_2`
0	0	-	0	-	`(neg.f64 b_2)`
0	0	-	0	-	`a`
0	0	-	0	-	`(*.f64 b_2 b_2)`

Results

77.0ms	104×	2	valid
51.0ms	348×	0	valid
19.0ms	60×	1	valid

Compiler

Compiled 124 to 32 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 12.0ms (25.9% of total)

ival-sqrt: 7.0ms (15.1% of total)

backward-pass: 7.0ms (15.1% of total)

ival-div: 6.0ms (12.9% of total)

ival-neg: 5.0ms (10.8% of total)

ival-sub: 5.0ms (10.8% of total)

ival-add: 4.0ms (8.6% of total)

const: 0.0ms (0% 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
▶	53.1%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)

Compiler

Compiled 15 to 9 computations (40% saved)

simplify67.0ms (0.5%)

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

localize68.0ms (0.5%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	96.5%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
✓	accuracy	77.7%	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	accuracy	57.4%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Results

24.0ms	174×	0	valid
22.0ms	52×	2	valid
8.0ms	30×	1	valid

Compiler

Compiled 50 to 10 computations (80% saved)

Precisions

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

ival-mult: 8.0ms (36.5% of total)

ival-sqrt: 4.0ms (18.2% of total)

ival-sub: 4.0ms (18.2% of total)

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

backward-pass: 3.0ms (13.7% of total)

const: 0.0ms (0% of total)

series19.0ms (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
2.0ms	c	@	0	(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
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	b_2	@	0	(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)

rewrite335.0ms (2.6%)

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	8594	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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simplify290.0ms (2.3%)

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))

eval68.0ms (0.5%)

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

prune106.0ms (0.8%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	508	22	530
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	508	23	531

Accuracy

93.3%

Counts

531 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.2%	(/.f64 (/.f64 (-.f64 (pow.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))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 b_2 b_2) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) #s(literal 3 binary64))) (+.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 (.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)
	17.1%	(/.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 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 b_2 b_2))) (.f64 (+.f64 b_2 (sqrt.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)
	24.3%	(/.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)))))
	27.0%	(/.f64 (/.f64 (.f64 c (.f64 a #s(literal -1/2 binary64))) b_2) a)
	52.9%	(/.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)))
	51.9%	(/.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)
	11.0%	(/.f64 (-.f64 (+.f64 b_2 (/.f64 (.f64 c (.f64 a #s(literal -1/2 binary64))) b_2)) b_2) a)
	7.7%	(/.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)
	11.0%	(/.f64 (-.f64 (.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) a)
	23.0%	(/.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))))))
▶	39.9%	(/.f64 (-.f64 (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 b_2 a)) (*.f64 a a))
✓	53.1%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	28.4%	(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a)
	49.7%	(/.f64 (-.f64 (sqrt.f64 (.f64 a (-.f64 (/.f64 (.f64 b_2 b_2) a) c))) b_2) a)
	41.4%	(/.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)
	34.3%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
▶	42.1%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
	39.9%	(/.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))))
▶	53.0%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
	52.2%	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a) (/.f64 b_2 a))
	42.1%	(-.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))))
▶	53.0%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
▶	29.7%	(.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 1161 to 531 computations (54.3% saved)

simplify216.0ms (1.7%)

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 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))
✓	cost-diff	128	(-.f64 (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 b_2 a))
✓	cost-diff	384	(/.f64 (-.f64 (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 b_2 a)) (*.f64 a 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 #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 (.f64 #s(literal -1/8 binary64) (.f64 c a)) (.f64 b_2 (.f64 b_2 b_2)))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) b_2)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c a)) (.f64 b_2 (.f64 b_2 b_2))))
✓	cost-diff	128	(.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)))))
✓	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

2158×	`-lowering-.f32`
2158×	`-lowering-.f64`
2018×	`fnmadd-define`
1704×	`sum3-define`
1348×	`/-lowering-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	227
1	88	221
2	231	207
3	670	207
4	1451	206
5	2786	206
6	4855	206
0	8036	206

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

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

localize299.0ms (2.3%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	81.2%	(-.f64 (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 b_2 a))
✓	accuracy	63.4%	(/.f64 (-.f64 (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 b_2 a)) (*.f64 a a))
✓	accuracy	57.4%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	accuracy	99.4%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	96.3%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
✓	accuracy	77.7%	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	accuracy	57.4%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	accuracy	99.9%	(.f64 b_2 (.f64 b_2 b_2))
✓	accuracy	99.6%	(+.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))))
✓	accuracy	97.2%	(.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)))))
✓	accuracy	83.1%	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c a)) (.f64 b_2 (.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	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
✓	accuracy	96.7%	(/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))
✓	accuracy	77.7%	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	accuracy	57.4%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Results

87.0ms	174×	0	valid
70.0ms	45×	2	valid
28.0ms	30×	1	valid
15.0ms	7×	3	valid

Compiler

Compiled 267 to 31 computations (88.4% saved)

Precisions

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

ival-mult: 35.0ms (45.3% of total)

ival-div: 17.0ms (22% of total)

backward-pass: 11.0ms (14.3% of total)

ival-sub: 6.0ms (7.8% of total)

ival-sqrt: 4.0ms (5.2% of total)

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

const: 1.0ms (1.3% of total)

series59.0ms (0.5%)

Counts

17 → 504

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

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

126 calls:

Time	Variable		Point	Expression
7.0ms	c	@	inf	(- (* a (sqrt (- (* b_2 b_2) (* a c)))) (* b_2 a))
3.0ms	c	@	inf	(* c (+ (/ -1/2 b_2) (/ (* -1/8 (* c a)) (* b_2 (* b_2 b_2)))))
2.0ms	b_2	@	inf	(/ (* b_2 -2) a)
2.0ms	c	@	inf	(* a (sqrt (- (* b_2 b_2) (* a c))))
2.0ms	a	@	inf	(/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2))

rewrite607.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3718×	`/-lowering-/.f32`
3718×	`/-lowering-/.f64`
3580×	`-lowering-.f32`
3580×	`-lowering-.f64`
2100×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	146
1	201	140
2	1871	131
0	9169	131

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 788

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

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

simplify361.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

6634×	`-lowering-.f32`
6634×	`-lowering-.f64`
4554×	`+-lowering-+.f64`
4554×	`+-lowering-+.f32`
1450×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1051	9392
1	3839	8819
0	8531	8819

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 504

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

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

eval236.0ms (1.9%)

Compiler: Compiled 48652 to 4126 computations (91.5% saved)

prune211.0ms (1.7%)

Pruning

33 alts after pruning (31 fresh and 2 done)

	Pruned	Kept	Total
New	1656	22	1678
Fresh	8	9	17
Picked	4	1	5
Done	0	1	1
Total	1668	33	1701

Accuracy

93.3%

Counts

1701 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.3%	(/.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)))))
▶	27.0%	(/.f64 (/.f64 (.f64 c (.f64 a #s(literal -1/2 binary64))) b_2) a)
	42.0%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) b_2)) a)
▶	52.9%	(/.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)))
	51.9%	(/.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)
	23.0%	(/.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 b_2)) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
	30.4%	(/.f64 (-.f64 (.f64 a (-.f64 #s(literal 0 binary64) b_2)) (.f64 b_2 a)) (*.f64 a a))
	21.6%	(/.f64 (-.f64 (.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 c a)))) (.f64 b_2 a)) (.f64 a a))
✓	53.1%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	28.4%	(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a)
	49.7%	(/.f64 (-.f64 (sqrt.f64 (.f64 a (-.f64 (/.f64 (.f64 b_2 b_2) a) c))) b_2) a)
	29.3%	(/.f64 (.f64 (-.f64 #s(literal 0 binary64) b_2) (+.f64 a (+.f64 a (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c (.f64 a a))) (.f64 b_2 b_2))))) (.f64 a a))
	30.4%	(/.f64 (.f64 (-.f64 #s(literal 0 binary64) b_2) (+.f64 a a)) (.f64 a a))
	41.4%	(/.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)
	34.3%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
	10.2%	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c c))) (.f64 b_2 (*.f64 b_2 b_2)))
	32.3%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 c a) b_2))) c))
	33.9%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c))
	40.4%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))))
	42.0%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2))
	26.9%	(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) b_2)))
	28.3%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2)))
	41.1%	(/.f64 #s(literal 1 binary64) (/.f64 a (.f64 (-.f64 #s(literal 0 binary64) b_2) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2))))))
	31.9%	(/.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)))))))))
	34.2%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) c) (.f64 #s(literal 1/2 binary64) (/.f64 a b_2))))
▶	33.0%	(/.f64 #s(literal 1 binary64) (.f64 b_2 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b_2 b_2))) (/.f64 #s(literal -2 binary64) c))))
	42.1%	(-.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))))
	42.1%	(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
✓	53.0%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
▶	28.3%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 c a))) b_2))
	42.0%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
▶	34.2%	(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
	20.8%	(exp.f64 (*.f64 (log.f64 (/.f64 a (/.f64 b_2 #s(literal -1/2 binary64)))) #s(literal -1 binary64)))

Compiler

Compiled 1040 to 686 computations (34% saved)

simplify205.0ms (1.6%)

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

2718×	`-lowering-.f32`
2718×	`-lowering-.f64`
2532×	`/-lowering-/.f32`
2532×	`/-lowering-/.f64`
2070×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	180
1	91	178
2	205	172
3	465	170
4	1041	170
5	2440	170
6	5184	170
7	7540	170
0	8270	170

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

localize251.0ms (2%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (*.f64 c a))
✓	accuracy	100.0%	(*.f64 c a)
✓	accuracy	99.8%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 c a))) b_2))
✓	accuracy	86.2%	(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 b_2 b_2)))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (.f64 b_2 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b_2 b_2))) (/.f64 #s(literal -2 binary64) c))))
✓	accuracy	92.6%	(/.f64 a (*.f64 b_2 b_2))
✓	accuracy	92.5%	(.f64 b_2 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b_2 b_2))) (/.f64 #s(literal -2 binary64) c)))
✓	accuracy	100.0%	(.f64 c (.f64 a #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 a #s(literal -1/2 binary64))
✓	accuracy	93.7%	(/.f64 (/.f64 (.f64 c (.f64 a #s(literal -1/2 binary64))) b_2) a)
✓	accuracy	92.9%	(/.f64 (.f64 c (.f64 a #s(literal -1/2 binary64))) b_2)
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) b_2)
✓	accuracy	99.8%	(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))
✓	accuracy	99.0%	(/.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	89.1%	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	accuracy	75.9%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Results

83.0ms	116×	0	valid
46.0ms	103×	0	invalid
31.0ms	22×	2	valid
23.0ms	15×	1	valid

Compiler

Compiled 214 to 34 computations (84.1% saved)

Precisions

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

ival-mult: 21.0ms (30% of total)

ival-div: 20.0ms (28.5% of total)

backward-pass: 16.0ms (22.8% of total)

ival-sub: 7.0ms (10% of total)

ival-sqrt: 5.0ms (7.1% of total)

const: 1.0ms (1.4% of total)

ival-add: 1.0ms (1.4% of total)

series47.0ms (0.4%)

Counts

21 → 600

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

Calls

150 calls:

Time	Variable		Point	Expression
6.0ms	b_2	@	0	(/ 1 (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
2.0ms	c	@	0	(* (/ 1 a) (- (sqrt (- 0 (* c a))) b_2))
2.0ms	c	@	0	(/ (/ (* c (* a -1/2)) b_2) a)
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))

rewrite298.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3278×	`-lowering-.f32`
3278×	`-lowering-.f64`
3260×	`/-lowering-/.f32`
3260×	`/-lowering-/.f64`
1586×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	143
1	215	140
2	1716	133
0	9231	133

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 833

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

simplify482.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

5912×	`-lowering-.f32`
5912×	`-lowering-.f64`
4926×	`+-lowering-+.f64`
4926×	`+-lowering-+.f32`
1498×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	985	7609
1	3478	7181
0	8317	7181

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 600

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

eval216.0ms (1.7%)

Compiler: Compiled 29516 to 4130 computations (86% saved)

prune258.0ms (2%)

Pruning

44 alts after pruning (41 fresh and 3 done)

	Pruned	Kept	Total
New	1445	22	1467
Fresh	7	19	26
Picked	4	1	5
Done	0	2	2
Total	1456	44	1500

Accuracy

99.8%

Counts

1500 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.3%	(/.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)))))
▶	10.6%	(/.f64 (/.f64 (.f64 (.f64 a c) #s(literal 1/2 binary64)) b_2) a)
	34.3%	(/.f64 (/.f64 c #s(literal -2 binary64)) b_2)
	42.0%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) b_2)) a)
	27.9%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 (.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2)) c))
	30.9%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 c)) (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2)) a))
✓	52.9%	(/.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)))
	41.1%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (.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))))
	41.9%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1/2 binary64) b_2))
	10.6%	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 b_2 (*.f64 a (/.f64 c #s(literal -2 binary64))))) a)
	30.4%	(/.f64 (-.f64 (.f64 a (-.f64 #s(literal 0 binary64) b_2)) (.f64 b_2 a)) (*.f64 a a))
	21.6%	(/.f64 (-.f64 (.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 c a)))) (.f64 b_2 a)) (.f64 a a))
✓	53.1%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	28.4%	(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a)
▶	49.7%	(/.f64 (-.f64 (sqrt.f64 (.f64 a (-.f64 (/.f64 (.f64 b_2 b_2) a) c))) b_2) a)
	29.3%	(/.f64 (.f64 (-.f64 #s(literal 0 binary64) b_2) (+.f64 a (+.f64 a (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c (.f64 a a))) (.f64 b_2 b_2))))) (.f64 a a))
	30.4%	(/.f64 (.f64 (-.f64 #s(literal 0 binary64) b_2) (+.f64 a a)) (.f64 a a))
	41.4%	(/.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)
	10.5%	(/.f64 (.f64 (.f64 a (/.f64 c #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))
	27.0%	(/.f64 (.f64 (.f64 a c) (/.f64 #s(literal -1/2 binary64) b_2)) a)
	10.7%	(/.f64 (.f64 c (neg.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2))) a)
	2.3%	(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
	10.4%	(/.f64 (.f64 a (/.f64 c #s(literal -2 binary64))) (neg.f64 (.f64 a b_2)))
	32.3%	(/.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))
	33.9%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c))
	40.4%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))))
	2.3%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2))
	42.0%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2))
	28.3%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2)))
	31.9%	(/.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)))))))))
	34.2%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) c) (.f64 #s(literal 1/2 binary64) (/.f64 a b_2))))
	9.4%	(/.f64 #s(literal 1 binary64) (.f64 b_2 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) c) (.f64 (/.f64 (.f64 b_2 b_2) a) #s(literal -2 binary64))) (.f64 (/.f64 (.f64 b_2 b_2) a) c))))
	2.0%	(/.f64 #s(literal 1 binary64) (.f64 b_2 (.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b_2 b_2)))))
▶	27.2%	(/.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))))))
	42.1%	(-.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))))
	42.1%	(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
	26.5%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (pow.f64 (.f64 a (.f64 c (.f64 a c))) #s(literal 1/4 binary64)) b_2))
	19.7%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) c)) (sqrt.f64 a)) b_2))
	13.2%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 c)) b_2))
✓	53.0%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
	17.6%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 a (.f64 c (.f64 a c))) (*.f64 a c)))) b_2))
▶	28.3%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2))
▶	42.0%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
	20.8%	(exp.f64 (*.f64 (log.f64 (/.f64 a (/.f64 b_2 #s(literal -1/2 binary64)))) #s(literal -1 binary64)))

Compiler

Compiled 1353 to 922 computations (31.9% saved)

simplify171.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)
✓	cost-diff	0	(*.f64 a c)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) a)
✓	cost-diff	64	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) b_2)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (.f64 #s(literal -2 binary64) (/.f64 b_2 (.f64 c a))))
✓	cost-diff	128	(.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (.f64 #s(literal -2 binary64) (/.f64 b_2 (*.f64 c a)))))
✓	cost-diff	128	(/.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))))))
✓	cost-diff	0	(*.f64 a c)
✓	cost-diff	0	(.f64 (.f64 a c) #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (.f64 (.f64 a c) #s(literal 1/2 binary64)) b_2)
✓	cost-diff	256	(/.f64 (/.f64 (.f64 (.f64 a c) #s(literal 1/2 binary64)) b_2) a)
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) a)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
✓	cost-diff	128	(.f64 a (-.f64 (/.f64 (.f64 b_2 b_2) a) c))
✓	cost-diff	128	(sqrt.f64 (.f64 a (-.f64 (/.f64 (.f64 b_2 b_2) a) c)))
✓	cost-diff	128	(-.f64 (sqrt.f64 (.f64 a (-.f64 (/.f64 (.f64 b_2 b_2) a) c))) b_2)
✓	cost-diff	128	(/.f64 (-.f64 (sqrt.f64 (.f64 a (-.f64 (/.f64 (.f64 b_2 b_2) a) c))) b_2) a)

Rules

2204×	`-lowering-.f32`
2204×	`-lowering-.f64`
1902×	`fma-lowering-fma.f32`
1902×	`fma-lowering-fma.f64`
1636×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	192
1	79	188
2	188	186
3	454	176
4	854	168
5	2245	168
6	3685	168
7	6631	168
0	8072	168

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize268.0ms (2.1%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a c)
✓	accuracy	100.0%	(neg.f64 (*.f64 a c))
✓	accuracy	99.8%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2))
✓	accuracy	86.2%	(sqrt.f64 (neg.f64 (*.f64 a c)))
✓	accuracy	100.0%	(.f64 #s(literal -2 binary64) (/.f64 b_2 (.f64 c a)))
✓	accuracy	99.5%	(/.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))))))
✓	accuracy	96.9%	(.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (.f64 #s(literal -2 binary64) (/.f64 b_2 (*.f64 c a)))))
✓	accuracy	92.5%	(/.f64 b_2 (*.f64 c a))
✓	accuracy	100.0%	(.f64 (.f64 a c) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 a c)
✓	accuracy	93.7%	(/.f64 (/.f64 (.f64 (.f64 a c) #s(literal 1/2 binary64)) b_2) a)
✓	accuracy	92.9%	(/.f64 (.f64 (.f64 a c) #s(literal 1/2 binary64)) b_2)
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) a)
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
✓	accuracy	96.7%	(.f64 a (-.f64 (/.f64 (.f64 b_2 b_2) a) c))
✓	accuracy	92.5%	(/.f64 (*.f64 b_2 b_2) a)
✓	accuracy	89.1%	(-.f64 (sqrt.f64 (.f64 a (-.f64 (/.f64 (.f64 b_2 b_2) a) c))) b_2)
✓	accuracy	75.9%	(sqrt.f64 (.f64 a (-.f64 (/.f64 (.f64 b_2 b_2) a) c)))

Results

96.0ms	116×	0	valid
55.0ms	103×	0	invalid
32.0ms	16×	2	valid
30.0ms	14×	1	valid
11.0ms	7×	3	valid

Compiler

Compiled 206 to 32 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 21.0ms (34.1% of total)

ival-div: 20.0ms (32.4% of total)

ival-sub: 7.0ms (11.4% of total)

backward-pass: 5.0ms (8.1% of total)

ival-sqrt: 5.0ms (8.1% of total)

ival-neg: 2.0ms (3.2% of total)

const: 1.0ms (1.6% of total)

ival-add: 1.0ms (1.6% of total)

series47.0ms (0.4%)

Counts

22 → 648

Calls

Call 1

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

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

Calls

162 calls:

Time	Variable		Point	Expression
13.0ms	c	@	-inf	(/ b_2 (* c a))
6.0ms	c	@	0	(/ 1 (* a (+ (/ 1/2 b_2) (* -2 (/ b_2 (* c a))))))
1.0ms	a	@	-inf	(/ (- (sqrt (* a (- (/ (* b_2 b_2) a) c))) b_2) a)
1.0ms	a	@	-inf	(sqrt (* a (- (/ (* b_2 b_2) a) c)))
1.0ms	b_2	@	-inf	(/ 1 (* a (+ (/ 1/2 b_2) (* -2 (/ b_2 (* c a))))))

rewrite373.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3760×	`-lowering-.f32`
3760×	`-lowering-.f64`
3412×	`/-lowering-/.f32`
3412×	`/-lowering-/.f64`
1528×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	158
1	185	154
2	1601	154
0	8212	154

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 778

Calls

Call 1

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

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

simplify348.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

7034×	`-lowering-.f32`
7034×	`-lowering-.f64`
3550×	`+-lowering-+.f64`
3550×	`+-lowering-+.f32`
1752×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	752	7012
1	2573	6642
0	8506	6642

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 648

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

eval190.0ms (1.5%)

Compiler: Compiled 28010 to 3732 computations (86.7% saved)

prune212.0ms (1.7%)

Pruning

46 alts after pruning (39 fresh and 7 done)

	Pruned	Kept	Total
New	1440	12	1452
Fresh	9	27	36
Picked	1	4	5
Done	0	3	3
Total	1450	46	1496

Accuracy

100.0%

Counts

1496 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.9%	(fma.f64 (sqrt.f64 a) (/.f64 (pow.f64 (-.f64 (*.f64 b_2 (/.f64 b_2 a)) c) #s(literal 1/2 binary64)) a) (neg.f64 (/.f64 b_2 a)))
	24.3%	(/.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)))))
	34.3%	(/.f64 (/.f64 c #s(literal -2 binary64)) b_2)
	42.0%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) b_2)) a)
	30.9%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 c)) (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2)) a))
	10.6%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b_2 (.f64 (.f64 a c) #s(literal 1/2 binary64))))
✓	52.9%	(/.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)))
	41.1%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (.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))))
	41.9%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1/2 binary64) b_2))
	27.2%	(/.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b_2))))
	35.4%	(/.f64 (-.f64 (.f64 (pow.f64 (-.f64 (.f64 b_2 (/.f64 b_2 a)) c) #s(literal 1/2 binary64)) (sqrt.f64 a)) b_2) a)
	30.4%	(/.f64 (-.f64 (.f64 a (-.f64 #s(literal 0 binary64) b_2)) (.f64 b_2 a)) (*.f64 a a))
	21.6%	(/.f64 (-.f64 (.f64 a (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 c a)))) (.f64 b_2 a)) (.f64 a a))
✓	53.1%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	28.4%	(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a)
✓	49.7%	(/.f64 (-.f64 (sqrt.f64 (.f64 a (-.f64 (/.f64 (.f64 b_2 b_2) a) c))) b_2) a)
	42.1%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 b_2 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2))))))) a)
	30.4%	(/.f64 (.f64 (-.f64 #s(literal 0 binary64) b_2) (+.f64 a a)) (.f64 a a))
	10.5%	(/.f64 (.f64 (.f64 (*.f64 a c) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) b_2)
	27.0%	(/.f64 (.f64 (.f64 a c) (/.f64 #s(literal -1/2 binary64) b_2)) a)
	10.4%	(/.f64 (.f64 (.f64 a c) #s(literal 1/2 binary64)) (*.f64 a b_2))
	10.7%	(/.f64 (*.f64 c (/.f64 a (/.f64 b_2 #s(literal 1/2 binary64)))) a)
	10.6%	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
	2.3%	(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
	32.3%	(/.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))
	33.9%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c))
	40.4%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))))
	2.3%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2))
	28.3%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2)))
	34.2%	(/.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)))
	31.9%	(/.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)))))))))
	9.4%	(/.f64 #s(literal 1 binary64) (.f64 b_2 (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) c) (.f64 (/.f64 (.f64 b_2 b_2) a) #s(literal -2 binary64))) (.f64 (/.f64 (.f64 b_2 b_2) a) c))))
	2.0%	(/.f64 #s(literal 1 binary64) (.f64 b_2 (.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b_2 b_2)))))
	27.9%	(/.f64 #s(literal 1 binary64) (.f64 a (/.f64 (+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)) c)))
✓	27.2%	(/.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))))))
	42.1%	(-.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))))
	42.1%	(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
	26.5%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (pow.f64 (.f64 a (.f64 c (.f64 a c))) #s(literal 1/4 binary64)) b_2))
	19.7%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) c)) (sqrt.f64 a)) b_2))
	13.2%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 c)) b_2))
✓	53.0%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
	17.6%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 a (.f64 c (.f64 a c))) (*.f64 a c)))) b_2))
✓	28.3%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2))
✓	42.0%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
	18.9%	(.f64 (exp.f64 (.f64 (log.f64 (/.f64 a #s(literal -2 binary64))) #s(literal -1 binary64))) b_2)
	20.8%	(exp.f64 (*.f64 (log.f64 (/.f64 a (/.f64 b_2 #s(literal -1/2 binary64)))) #s(literal -1 binary64)))

Compiler

Compiled 1975 to 814 computations (58.8% saved)

regimes112.0ms (0.9%)

Counts

80 → 3

Calls

Call 1

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

Calls

4 calls:

26.0ms	c
24.0ms	a
23.0ms	b_2
22.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
60.8%	3	`a`
88.6%	3	`b_2`
55.7%	2	`c`
74.4%	4	`(/.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)

regimes23.0ms (0.2%)

Counts

58 → 3

Calls

Call 1

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

Calls

1 calls:

17.0ms

b_2

Results

Accuracy	Segments	Branch
88.6%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes35.0ms (0.3%)

Counts

55 → 3

Calls

Call 1

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

29.0ms

b_2

Results

Accuracy	Segments	Branch
84.2%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes27.0ms (0.2%)

Counts

51 → 2

Calls

Call 1

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

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

Calls

1 calls:

23.0ms

b_2

Results

Accuracy	Segments	Branch
74.0%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes17.0ms (0.1%)

Counts

41 → 2

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

b_2

Results

Accuracy	Segments	Branch
73.9%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

Counts

32 → 2

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

b_2

Results

Accuracy	Segments	Branch
73.7%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

b_2

Results

Accuracy	Segments	Branch
73.6%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

b_2

Results

Accuracy	Segments	Branch
73.6%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	a
1.0ms	c
1.0ms	b_2

Results

Accuracy	Segments	Branch
34.2%	1	`c`
34.2%	1	`a`
34.2%	1	`b_2`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch32.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
25.0ms	1.253019263029536e-83	6.472102272382258e-82
4.0ms	-8.192962787837841e+157	-2.3907612700690413e+149

Results

9.0ms	100×	0	valid
7.0ms	31×	1	valid
4.0ms	45×	0	invalid
4.0ms	13×	2	valid

Compiler

Compiled 265 to 177 computations (33.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 4.0ms (31.2% of total)

ival-div: 2.0ms (15.6% of total)

ival-sqrt: 2.0ms (15.6% of total)

ival-sub: 1.0ms (7.8% of total)

backward-pass: 1.0ms (7.8% of total)

ival-neg: 1.0ms (7.8% of total)

ival-add: 1.0ms (7.8% of total)

const: 0.0ms (0% of total)

bsearch65.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
37.0ms	1.253019263029536e-83	6.472102272382258e-82
25.0ms	-8.192962787837841e+157	-2.3907612700690413e+149

Results

29.0ms	117×	0	valid
18.0ms	28×	1	valid
4.0ms	15×	2	valid
4.0ms	46×	0	invalid

Compiler

Compiled 272 to 185 computations (32% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-sqrt: 15.0ms (56% of total)

ival-mult: 4.0ms (14.9% of total)

ival-div: 2.0ms (7.5% of total)

ival-neg: 2.0ms (7.5% of total)

ival-sub: 1.0ms (3.7% of total)

backward-pass: 1.0ms (3.7% of total)

ival-add: 1.0ms (3.7% of total)

const: 0.0ms (0% of total)

bsearch84.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
39.0ms	1.5658652199809342e-107	1.253019263029536e-83
22.0ms	-7.013402992378381e-121	-1.7892854676927474e-123

Results

23.0ms	235×	0	valid
10.0ms	52×	1	valid
8.0ms	95×	0	invalid
7.0ms	17×	2	valid

Compiler

Compiled 555 to 402 computations (27.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 10.0ms (33.6% of total)

ival-div: 4.0ms (13.4% of total)

ival-neg: 4.0ms (13.4% of total)

ival-sqrt: 4.0ms (13.4% of total)

ival-add: 4.0ms (13.4% of total)

ival-sub: 2.0ms (6.7% of total)

backward-pass: 2.0ms (6.7% of total)

const: 0.0ms (0% of total)

bsearch47.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
44.0ms	-2.43689173380109e-309	8.239578657518255e-290

Results

22.0ms	100×	0	invalid
14.0ms	160×	0	valid

Compiler

Compiled 322 to 235 computations (27% saved)

Precisions

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

ival-add: 15.0ms (57.4% of total)

ival-mult: 4.0ms (15.3% of total)

ival-div: 2.0ms (7.7% of total)

ival-sqrt: 2.0ms (7.7% of total)

ival-sub: 1.0ms (3.8% of total)

ival-neg: 1.0ms (3.8% of total)

const: 0.0ms (0% of total)

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

bsearch75.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
72.0ms	-2.43689173380109e-309	8.239578657518255e-290

Results

50.0ms	125×	0	invalid
14.0ms	160×	0	valid

Compiler

Compiled 302 to 225 computations (25.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-add: 26.0ms (67.4% of total)

ival-mult: 4.0ms (10.4% of total)

ival-sub: 2.0ms (5.2% of total)

ival-div: 2.0ms (5.2% of total)

ival-sqrt: 2.0ms (5.2% of total)

ival-neg: 2.0ms (5.2% of total)

const: 0.0ms (0% of total)

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

bsearch23.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.4550137715264092e-282	1.9443531348708182e-281

Results

10.0ms	96×	0	valid
6.0ms	70×	0	invalid

Compiler

Compiled 130 to 99 computations (23.8% saved)

Precisions

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

ival-add: 3.0ms (30.5% of total)

ival-mult: 3.0ms (30.5% of total)

ival-sub: 1.0ms (10.2% of total)

ival-div: 1.0ms (10.2% of total)

ival-sqrt: 1.0ms (10.2% of total)

ival-neg: 1.0ms (10.2% of total)

const: 0.0ms (0% of total)

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

bsearch25.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	1.4550137715264092e-282	1.9443531348708182e-281

Results

10.0ms	96×	0	valid
7.0ms	91×	0	invalid

Compiler

Compiled 130 to 99 computations (23.8% saved)

Precisions

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

ival-mult: 3.0ms (30.4% of total)

ival-neg: 2.0ms (20.3% of total)

ival-sub: 1.0ms (10.1% of total)

ival-div: 1.0ms (10.1% of total)

ival-add: 1.0ms (10.1% of total)

ival-sqrt: 1.0ms (10.1% of total)

const: 0.0ms (0% of total)

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

bsearch22.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.4550137715264092e-282	1.9443531348708182e-281

Results

8.0ms	96×	0	valid
7.0ms	60×	0	invalid

Compiler

Compiled 130 to 99 computations (23.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 2.0ms (27.8% of total)

ival-sub: 1.0ms (13.9% of total)

ival-div: 1.0ms (13.9% of total)

ival-add: 1.0ms (13.9% of total)

ival-sqrt: 1.0ms (13.9% of total)

ival-neg: 1.0ms (13.9% of total)

const: 0.0ms (0% of total)

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

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

56×	`*-commutative_binary64`
50×	`+-commutative_binary64`
46×	`sub-neg_binary64`
38×	`neg-mul-1_binary64`
32×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	195
1	107	195
2	143	195
3	169	195
4	203	195
5	233	195
6	249	195
7	255	195
8	256	195

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -3999999999999999998933612016492614979422156076473746745143360752097478718089695046691679038258268633774677515296114840081570376376516120880532063439028224 binary64)) (.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (if (<=.f64 b_2 #s(literal 3588458220347129/8543948143683640329580086824678208458410818089426611079788166431288878903122562200091848347746304 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 -20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) (.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (if (<=.f64 b_2 #s(literal 7860432292188949/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216 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 -8140593712110797/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 b_2 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2))))))) a) (if (<=.f64 b_2 #s(literal 492525077454931/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816 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 -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 b_2 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2))))))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.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 (.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal 1961990857885011/1307993905256673975767120421215822522657964858038981454399109360803651185455244290152830052265253733065911465963809993683089776960073625541502023629723947119620918917825223508962533521125777727280023703876104306028269279939868013618062200188730110219063866757530095479450736063434158250346338582528 binary64)) (.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal 1961990857885011/1307993905256673975767120421215822522657964858038981454399109360803651185455244290152830052265253733065911465963809993683089776960073625541502023629723947119620918917825223508962533521125777727280023703876104306028269279939868013618062200188730110219063866757530095479450736063434158250346338582528 binary64)) (.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
(if (<=.f64 b_2 #s(literal 653996952628337/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632 binary64)) (.f64 (/.f64 #s(literal -2 binary64) a) b_2) (.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))

Outputs
(if (<=.f64 b_2 #s(literal -3999999999999999998933612016492614979422156076473746745143360752097478718089695046691679038258268633774677515296114840081570376376516120880532063439028224 binary64)) (.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (if (<=.f64 b_2 #s(literal 3588458220347129/8543948143683640329580086824678208458410818089426611079788166431288878903122562200091848347746304 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 -20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) (.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (if (<=.f64 b_2 #s(literal 7860432292188949/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216 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 -8140593712110797/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 b_2 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2))))))) a) (if (<=.f64 b_2 #s(literal 492525077454931/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816 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 -8140593712110797/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) (/.f64 (.f64 b_2 (-.f64 (.f64 (.f64 a (/.f64 c (.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64))) a) (if (<=.f64 b_2 #s(literal 492525077454931/39402006196394479212279040100143613805079739270465446667948293404245721771497210611414266254884915640806627990306816 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 -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 b_2 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2))))))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 b_2 (-.f64 (.f64 (.f64 a (/.f64 c (.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.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 (.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 b_2 (-.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 b_2 (-.f64 #s(literal 0 binary64) b_2))) (/.f64 #s(literal 2 binary64) a))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal 1961990857885011/1307993905256673975767120421215822522657964858038981454399109360803651185455244290152830052265253733065911465963809993683089776960073625541502023629723947119620918917825223508962533521125777727280023703876104306028269279939868013618062200188730110219063866757530095479450736063434158250346338582528 binary64)) (.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal 1961990857885011/1307993905256673975767120421215822522657964858038981454399109360803651185455244290152830052265253733065911465963809993683089776960073625541502023629723947119620918917825223508962533521125777727280023703876104306028269279939868013618062200188730110219063866757530095479450736063434158250346338582528 binary64)) (.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
(if (<=.f64 b_2 #s(literal 653996952628337/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632 binary64)) (.f64 (/.f64 #s(literal -2 binary64) a) b_2) (.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
(if (<=.f64 b_2 #s(literal 653996952628337/326998476314168493941780105303955630664491214509745363599777340200912796363811072538207513066313433266477866490952498420772444240018406385375505907430986779905229729456305877240633380281444431820005925969026076507067319984967003404515550047182527554765966689382523869862684015858539562586584645632 binary64)) (.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))

soundness2.7s (21.4%)

Rules

7034×	`-lowering-.f32`
7034×	`-lowering-.f64`
6634×	`-lowering-.f32`
6634×	`-lowering-.f64`
5242×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1051	9392
1	3839	8819
0	8531	8819
0	752	7012
1	2573	6642
0	8506	6642
0	30	146
1	201	140
2	1871	131
0	9169	131
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	8594	29
0	508	2984
1	1738	2788
2	6462	2763
0	8034	2763

Stop Event

1×	fuel
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

Compiler

Compiled 785 to 452 computations (42.4% saved)

preprocess83.0ms (0.7%)

Compiler: Compiled 620 to 210 computations (66.1% saved)

Iter	Nodes	Cost
0	69	195
1	107	195
2	143	195
3	169	195
4	203	195
5	233	195
6	249	195
7	255	195
8	256	195

Iter	Nodes	Cost
0	69	195
1	107	195
2	143	195
3	169	195
4	203	195
5	233	195
6	249	195
7	255	195
8	256	195

analyze179.0ms (1.4%)

sample2.5s (19.5%)

preprocess125.0ms (1%)

explain194.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify67.0ms (0.5%)

localize68.0ms (0.5%)

series19.0ms (0.1%)

rewrite335.0ms (2.6%)

simplify290.0ms (2.3%)

eval68.0ms (0.5%)

prune106.0ms (0.8%)

simplify216.0ms (1.7%)

localize299.0ms (2.3%)

series59.0ms (0.5%)

rewrite607.0ms (4.8%)

simplify361.0ms (2.8%)

eval236.0ms (1.9%)

prune211.0ms (1.7%)

simplify205.0ms (1.6%)

localize251.0ms (2%)

series47.0ms (0.4%)

rewrite298.0ms (2.3%)

simplify482.0ms (3.8%)

eval216.0ms (1.7%)

prune258.0ms (2%)

simplify171.0ms (1.3%)

localize268.0ms (2.1%)

series47.0ms (0.4%)

rewrite373.0ms (2.9%)

simplify348.0ms (2.7%)

eval190.0ms (1.5%)

prune212.0ms (1.7%)

regimes112.0ms (0.9%)

regimes23.0ms (0.2%)

regimes35.0ms (0.3%)

regimes27.0ms (0.2%)

regimes17.0ms (0.1%)

regimes12.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes5.0ms (0%)

bsearch32.0ms (0.3%)

bsearch65.0ms (0.5%)

bsearch84.0ms (0.7%)

bsearch47.0ms (0.4%)

bsearch75.0ms (0.6%)

bsearch23.0ms (0.2%)

bsearch25.0ms (0.2%)

bsearch22.0ms (0.2%)

simplify19.0ms (0.1%)

soundness2.7s (21.4%)

preprocess83.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	69	195
1	107	195
2	143	195
3	169	195
4	203	195
5	233	195
6	249	195
7	255	195
8	256	195