Metrics for quad2p (problem 3.2.1, positive)

analyze160.0ms (1.3%)

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: 63.0ms

ival-mult: 19.0ms (30.2% of total)

ival-sqrt: 12.0ms (19.1% of total)

ival-div: 8.0ms (12.7% of total)

ival-add: 8.0ms (12.7% of total)

ival-neg: 8.0ms (12.7% of total)

ival-sub: 7.0ms (11.1% of total)

const: 1.0ms (1.6% of total)

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

sample2.0s (15.4%)

Results

645.0ms	1900×	2	valid
633.0ms	5544×	0	valid
214.0ms	812×	1	valid
123.0ms	1095×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 959.0ms

ival-mult: 235.0ms (24.5% of total)

ival-sqrt: 206.0ms (21.5% of total)

ival-div: 128.0ms (13.3% of total)

ival-neg: 105.0ms (10.9% of total)

backward-pass: 101.0ms (10.5% of total)

ival-add: 99.0ms (10.3% of total)

ival-sub: 75.0ms (7.8% of total)

const: 10.0ms (1% of total)

Bogosity

preprocess144.0ms (1.1%)

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	301	101
3	869	101
4	2818	101
5	5831	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)

explain173.0ms (1.4%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
104	-	1	(8.468951386717315e-44 3.353702163689175e-305 -1.1913091321641061e-268)	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
63	-	0	-	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
12	-	3	(-1.5385411460387615e-164 2.5063337335770964e+147 2.3240763854387013e-6)	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
3	-	0	-	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`
0	-	0	-	`c`
0	-	0	-	`(*.f64 a c)`
0	-	0	-	`b_2`
0	-	0	-	`(neg.f64 b_2)`
0	-	0	-	`a`
0	-	0	-	`(*.f64 b_2 b_2)`

Results

55.0ms	120×	2	valid
53.0ms	338×	0	valid
17.0ms	54×	1	valid

Compiler

Compiled 124 to 32 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 11.0ms (22.2% of total)

backward-pass: 10.0ms (20.2% of total)

ival-sqrt: 7.0ms (14.1% of total)

ival-div: 6.0ms (12.1% of total)

ival-neg: 5.0ms (10.1% of total)

ival-add: 5.0ms (10.1% of total)

ival-sub: 4.0ms (8.1% of total)

const: 1.0ms (2% 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
▶	51.7%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)

Compiler

Compiled 15 to 9 computations (40% saved)

simplify64.0ms (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	1594	37
9	2573	37
10	3073	37
11	3107	37
12	3251	37
13	3267	37
0	3267	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

localize84.0ms (0.7%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	96.4%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
✓	accuracy	77.5%	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	accuracy	62.4%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Results

37.0ms	60×	2	valid
27.0ms	169×	0	valid
7.0ms	27×	1	valid

Compiler

Compiled 50 to 10 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 22.0ms (59.3% of total)

ival-sqrt: 4.0ms (10.8% of total)

ival-sub: 4.0ms (10.8% of total)

ival-div: 3.0ms (8.1% of total)

backward-pass: 3.0ms (8.1% of total)

const: 0.0ms (0% of total)

series20.0ms (0.2%)

Counts

4 → 144

Calls

Call 1

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

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

Calls

36 calls:

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

rewrite190.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2588×	`sum4-define`
1724×	`sum3-define`
1696×	`fnmadd-define`
1102×	`-lowering-.f32`
1102×	`-lowering-.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	41	33
2	129	29
3	659	29
4	4134	29
0	8326	29

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 288

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

simplify325.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

5240×	`-lowering-.f32`
5240×	`-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	6461	2769
0	8032	2769

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

eval111.0ms (0.9%)

Compiler: Compiled 9940 to 1230 computations (87.6% saved)

prune77.0ms (0.6%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	417	15	432
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	417	16	433

Accuracy

91.8%

Counts

433 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.4%	(/.f64 (/.f64 (-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 b_2 a)) a) a) (/.f64 a b_2))
	28.6%	(/.f64 (/.f64 (.f64 c (.f64 a #s(literal -1/2 binary64))) b_2) a)
	13.7%	(/.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)
✓	51.7%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	31.8%	(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a)
▶	28.9%	(/.f64 (-.f64 (sqrt.f64 (*.f64 b_2 b_2)) b_2) a)
	45.3%	(/.f64 (-.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) b_2) a)
	35.9%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
	33.2%	(/.f64 (.f64 b_2 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2))))) a)
▶	35.6%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
▶	37.2%	(/.f64 (.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (.f64 a a))
▶	51.6%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
▶	34.9%	(-.f64 #s(literal 0 binary64) (.f64 b_2 (+.f64 (.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a))))
	37.1%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)))
	51.6%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
	22.0%	(exp.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)))))

Compiler

Compiled 503 to 329 computations (34.6% saved)

simplify193.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

2362×	`-lowering-.f32`
2362×	`-lowering-.f64`
1842×	`/-lowering-/.f32`
1842×	`/-lowering-/.f64`
1240×	`sum5-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	189
1	79	189
2	191	177
3	466	174
4	1373	174
5	3809	174
6	7985	174
0	8544	174

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize372.0ms (2.9%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
✓	accuracy	77.5%	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	accuracy	62.4%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	accuracy	55.9%	(/.f64 (.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)) (.f64 a a))
✓	accuracy	100.0%	(/.f64 (-.f64 (sqrt.f64 (*.f64 b_2 b_2)) b_2) a)
✓	accuracy	100.0%	(-.f64 (sqrt.f64 (*.f64 b_2 b_2)) b_2)
✓	accuracy	100.0%	(*.f64 b_2 b_2)
✓	accuracy	56.9%	(sqrt.f64 (*.f64 b_2 b_2))
✓	accuracy	100.0%	(+.f64 (.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a))
✓	accuracy	99.4%	(/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))
✓	accuracy	90.6%	(.f64 b_2 (+.f64 (.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)))
✓	accuracy	89.3%	(.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2)))
✓	accuracy	100.0%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
✓	accuracy	100.0%	(*.f64 b_2 #s(literal -2 binary64))
✓	accuracy	99.1%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	96.5%	(/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))
✓	accuracy	77.5%	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	accuracy	62.4%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Results

119.0ms	131×	0	valid
111.0ms	55×	2	valid
74.0ms	66×	1	valid
7.0ms	4×	3	valid

Compiler

Compiled 227 to 30 computations (86.8% saved)

Precisions

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

ival-mult: 54.0ms (49.6% of total)

ival-div: 19.0ms (17.5% of total)

backward-pass: 14.0ms (12.9% of total)

ival-sub: 11.0ms (10.1% of total)

ival-sqrt: 8.0ms (7.4% of total)

ival-add: 2.0ms (1.8% of total)

const: 1.0ms (0.9% of total)

series42.0ms (0.3%)

Counts

18 → 492

Calls

Call 1

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

Outputs
#<alt (* -1/2 (/ c b_2))>
#<alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -2 (/ b_2 c))>
#<alt (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))>
#<alt (+ (* -2 (/ b_2 c)) (* a (+ (* -1 (* a (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2)))))>
#<alt (+ (* -2 (/ b_2 c)) (* a (+ (* a (- (* -1 (* a (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 2))) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 2) (pow b_2 5))))))) (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2)))))>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -1)))>
#<alt (+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2))))>
#<alt (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))))>
#<alt (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))>
#<alt (* -1 (* (sqrt (/ a c)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ b_2 c)))>
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) c))) a)))>
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b_2 3)) (pow c 2))) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))))))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))) a)) (* -1 (/ (* a b_2) c))) a)))>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -1)))>
#<alt (+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2))))>
#<alt (+ (* b_2 (+ (* -1 (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))>
#<alt (+ (* b_2 (+ (* b_2 (- (* -1 (* b_2 (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -1) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))>
#<alt (* -2 (/ b_2 c))>
#<alt (* b_2 (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))>
#<alt (* b_2 (- (* -1 (/ (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c))) (pow b_2 4))) (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))>
#<alt (* b_2 (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (+ (* -1/4 (* a (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (* 1/16 (* (pow a 3) (pow c 2))))) (pow b_2 6))) (+ (* -1/2 (/ a (pow b_2 2))) (+ (* -1/4 (/ (* (pow a 2) c) (pow b_2 4))) (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 4))) (* 2 (/ 1 c)))))))>
#<alt (* -1/2 (/ a b_2))>
#<alt (* -1 (/ (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* 1/2 a)) b_2))>
#<alt (* -1 (/ (- (+ (* 1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 a)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 2)))) b_2))>
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -1/32 (* (pow a 4) (pow c 3))) (* -1/128 (* (pow a 4) (pow c 3)))) (pow b_2 6))) (* 1/2 a)) (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))))) b_2))>
#<alt (* -2 (/ b_2 c))>
#<alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) c)>
#<alt (/ (+ (* -2 b_2) (* c (- (* -1 (* c (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3)))))) (* -1/2 (/ a b_2))))) c)>
#<alt (/ (+ (* -2 b_2) (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) a)) (+ (* -1/4 (/ (* a (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow a 3) (pow b_2 5))))))) (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3)))))) (* -1/2 (/ a b_2))))) c)>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -1)))>
#<alt (/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2))) c)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) c)>
#<alt (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 4)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))) c)>
#<alt (* -1 (* (sqrt (/ a c)) (sqrt -1)))>
#<alt (* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b_2 3) c) a)) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))))))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))) c)) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 b_2)>
#<alt (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))>
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))>
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))>
#<alt b_2>
#<alt (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* 1/2 (/ c b_2))>
#<alt (/ (- (* -2 (/ (pow b_2 2) a)) (* -1/2 c)) b_2)>
#<alt (/ (- (* -2 (/ (pow b_2 2) a)) (* -1/2 c)) b_2)>
#<alt (/ (- (* -2 (/ (pow b_2 2) a)) (* -1/2 c)) b_2)>
#<alt (* -2 (/ b_2 a))>
#<alt (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))>
#<alt (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))>
#<alt (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -2 (/ b_2 a))>
#<alt (- (* 1/2 (/ c b_2)) (* 2 (/ b_2 a)))>
#<alt (- (* 1/2 (/ c b_2)) (* 2 (/ b_2 a)))>
#<alt (- (* 1/2 (/ c b_2)) (* 2 (/ b_2 a)))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))>
#<alt (* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))>
#<alt (* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))>
#<alt (* -2 (/ b_2 a))>
#<alt (/ (- (* 1/2 (/ (* a c) b_2)) (* 2 b_2)) a)>
#<alt (/ (- (* 1/2 (/ (* a c) b_2)) (* 2 b_2)) a)>
#<alt (/ (- (* 1/2 (/ (* a c) b_2)) (* 2 b_2)) a)>
#<alt (* 1/2 (/ c b_2))>
#<alt (- (* -2 (/ b_2 a)) (* -1/2 (/ c b_2)))>
#<alt (- (* -2 (/ b_2 a)) (* -1/2 (/ c b_2)))>
#<alt (- (* -2 (/ b_2 a)) (* -1/2 (/ c b_2)))>
#<alt (* 1/2 (/ c b_2))>
#<alt (- (* -2 (/ b_2 a)) (* -1/2 (/ c b_2)))>
#<alt (- (* -2 (/ b_2 a)) (* -1/2 (/ c b_2)))>
#<alt (- (* -2 (/ b_2 a)) (* -1/2 (/ c b_2)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) b_2)>
#<alt (/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) b_2)>
#<alt (/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) b_2)>
#<alt (* 2 (/ b_2 a))>
#<alt (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))>
#<alt (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))>
#<alt (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))>
#<alt (* 2 (/ b_2 a))>
#<alt (* -1 (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* 2 (/ b_2 a))>
#<alt (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))>
#<alt (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))>
#<alt (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1 (* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))>
#<alt (* -1 (* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))>
#<alt (* -1 (* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))>
#<alt (* 2 (/ b_2 a))>
#<alt (/ (+ (* -1/2 (/ (* a c) b_2)) (* 2 b_2)) a)>
#<alt (/ (+ (* -1/2 (/ (* a c) b_2)) (* 2 b_2)) a)>
#<alt (/ (+ (* -1/2 (/ (* a c) b_2)) (* 2 b_2)) a)>
#<alt (* -1/2 (/ c b_2))>
#<alt (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))>
#<alt (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))>
#<alt (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))>
#<alt (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))>
#<alt (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))>
#<alt (/ 2 a)>
#<alt (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))>
#<alt (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))>
#<alt (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))>
#<alt (* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))>
#<alt (* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1 (* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c))))))>
#<alt (* -1 (* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c))))))>
#<alt (* -1 (* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c))))))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2))>
#<alt (/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2))>
#<alt (/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2))>
#<alt (/ 2 a)>
#<alt (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))>
#<alt (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))>
#<alt (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))>
#<alt (/ 2 a)>
#<alt (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))>
#<alt (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))>
#<alt (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))>
#<alt (/ 2 a)>
#<alt (/ (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))) a)>
#<alt (/ (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))) a)>
#<alt (/ (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))) a)>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))>
#<alt (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))>
#<alt (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))>
#<alt (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))>
#<alt (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt (* -1/2 (/ c (pow b_2 2)))>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 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)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1/2 (/ (* (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 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* (pow a 2) (+ (* -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 (* (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 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a))))>
#<alt (* (pow a 2) (+ (* -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 (* (pow a 3) c)) (sqrt -1))>
#<alt (+ (* -1 (* a b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1)))>
#<alt (+ (* b_2 (+ (* -1 a) (* 1/2 (* (sqrt (/ a c)) (/ b_2 (sqrt -1)))))) (* (sqrt (* (pow a 3) c)) (sqrt -1)))>
#<alt (+ (* b_2 (+ (* -1 a) (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))))))) (* (sqrt (* (pow a 3) c)) (sqrt -1)))>
#<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 (* -2 (* a b_2))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (* 2 a))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 2 a)))))>
#<alt (* -1 (* b_2 (+ (* -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))) (* 2 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 (/ (* a b_2) c)) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))>
#<alt (* c (+ (* -1 (/ (* a b_2) 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 (* -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 (* a b_2)) (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (* a b_2)) (* -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))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))>
#<alt (* -1 (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (pow b_2 2)>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (* -1 (* a c))>
#<alt (* a (- (/ (pow b_2 2) a) c))>
#<alt (* a (- (/ (pow b_2 2) a) c))>
#<alt (* a (- (/ (pow b_2 2) a) c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))>
#<alt (pow b_2 2)>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (* -1 (* a c))>
#<alt (* c (- (/ (pow b_2 2) c) a))>
#<alt (* c (- (/ (pow b_2 2) c) a))>
#<alt (* c (- (/ (pow b_2 2) c) a))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>

Calls

123 calls:

Time	Variable		Point	Expression
4.0ms	c	@	-inf	(* a (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
2.0ms	b_2	@	inf	(/ (* b_2 -2) a)
2.0ms	a	@	0	(/ (* b_2 -2) a)
2.0ms	a	@	inf	(/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
1.0ms	c	@	inf	(/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2))

rewrite713.0ms (5.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4070×	`-lowering-.f32`
4070×	`-lowering-.f64`
2628×	`/-lowering-/.f32`
2628×	`/-lowering-/.f64`
1978×	`--lowering--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	134
1	135	129
2	612	114
3	3882	111
0	10304	111

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 1837

Calls

Call 1

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

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

simplify1.3s (10.4%)

Algorithm

1×	egg-herbie

Rules

6090×	`-lowering-.f32`
6090×	`-lowering-.f64`
5264×	`+-lowering-+.f64`
5264×	`+-lowering-+.f32`
1254×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	950	7531
1	3436	7001
0	8305	7001

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

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))
(/ (- (* -2 (/ (pow b_2 2) a)) (* -1/2 c)) b_2)
(/ (- (* -2 (/ (pow b_2 2) a)) (* -1/2 c)) b_2)
(/ (- (* -2 (/ (pow b_2 2) a)) (* -1/2 c)) b_2)
(* -2 (/ b_2 a))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -2 (/ b_2 a))
(- (* 1/2 (/ c b_2)) (* 2 (/ b_2 a)))
(- (* 1/2 (/ c b_2)) (* 2 (/ b_2 a)))
(- (* 1/2 (/ c b_2)) (* 2 (/ b_2 a)))
(* 1/2 (/ c b_2))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* 1/2 (/ c b_2))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -2 (/ b_2 a))
(/ (- (* 1/2 (/ (* a c) b_2)) (* 2 b_2)) a)
(/ (- (* 1/2 (/ (* a c) b_2)) (* 2 b_2)) a)
(/ (- (* 1/2 (/ (* a c) b_2)) (* 2 b_2)) a)
(* 1/2 (/ c b_2))
(- (* -2 (/ b_2 a)) (* -1/2 (/ c b_2)))
(- (* -2 (/ b_2 a)) (* -1/2 (/ c b_2)))
(- (* -2 (/ b_2 a)) (* -1/2 (/ c b_2)))
(* 1/2 (/ c b_2))
(- (* -2 (/ b_2 a)) (* -1/2 (/ c b_2)))
(- (* -2 (/ b_2 a)) (* -1/2 (/ c b_2)))
(- (* -2 (/ b_2 a)) (* -1/2 (/ c b_2)))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) b_2)
(/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) b_2)
(/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) b_2)
(* 2 (/ b_2 a))
(* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* 2 (/ b_2 a))
(* -1 (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* 2 (/ b_2 a))
(+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))
(+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))
(+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))
(* -1/2 (/ c b_2))
(* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* -1/2 (/ c b_2))
(* -1 (* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* 2 (/ b_2 a))
(/ (+ (* -1/2 (/ (* a c) b_2)) (* 2 b_2)) a)
(/ (+ (* -1/2 (/ (* a c) b_2)) (* 2 b_2)) a)
(/ (+ (* -1/2 (/ (* a c) b_2)) (* 2 b_2)) a)
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))
(+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))
(+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))
(+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))
(+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))
(/ 2 a)
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(* -1/2 (/ c (pow b_2 2)))
(* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))
(* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))
(* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))
(* -1/2 (/ c (pow b_2 2)))
(* -1 (* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c))))))
(* -1 (* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c))))))
(* -1 (* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c))))))
(* -1/2 (/ c (pow b_2 2)))
(/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2))
(/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2))
(/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2))
(/ 2 a)
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(/ 2 a)
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(/ 2 a)
(/ (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))) a)
(/ (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))) a)
(/ (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))) a)
(* -1/2 (/ c (pow b_2 2)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(* -1/2 (/ c (pow b_2 2)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
0
0
0
0
0
0
0
0
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 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 (+ (* -1/8 (/ (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)))))
(* -1/2 (/ (* (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 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (pow a 2) (+ (* -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 (* (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 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a))))
(* (pow a 2) (+ (* -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 (* (pow a 3) c)) (sqrt -1))
(+ (* -1 (* a b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (+ (* -1 a) (* 1/2 (* (sqrt (/ a c)) (/ b_2 (sqrt -1)))))) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* b_2 (+ (* -1 a) (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))))))) (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* -1/2 (/ (* (pow a 2) c) b_2))
(/ (+ (* -1/2 (* (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)
(* -2 (* a b_2))
(* -1 (* b_2 (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (* 2 a))))
(* -1 (* b_2 (+ (* -1/2 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 2 a)))))
(* -1 (* b_2 (+ (* -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))) (* 2 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 (/ (* a b_2) c)) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* c (+ (* -1 (/ (* a b_2) 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))))))
(* -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 (* a b_2)) (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (* a b_2)) (* -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))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* -1 (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(* -1 (* a c))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* c (- (/ (pow b_2 2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(* -1 (* a c))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(/ -1/2 (pow b_2 2))
(/ -1/2 (pow b_2 2))
(/ -1/2 (pow b_2 2))
(/ -1/2 (pow b_2 2))
(/ -1/2 (pow b_2 2))
(/ -1/2 (pow b_2 2))
(/ -1/2 (pow b_2 2))
(/ -1/2 (pow b_2 2))
(/ -1/2 (pow b_2 2))
(/ -1/2 (pow b_2 2))
(/ -1/2 (pow b_2 2))
(/ -1/2 (pow b_2 2))

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

eval716.0ms (5.6%)

Compiler: Compiled 60546 to 7377 computations (87.8% saved)

prune429.0ms (3.4%)

Pruning

38 alts after pruning (36 fresh and 2 done)

	Pruned	Kept	Total
New	2761	31	2792
Fresh	5	5	10
Picked	4	1	5
Done	0	1	1
Total	2770	38	2808

Accuracy

91.8%

Counts

2808 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.9%	(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))))
	35.4%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1/2 binary64) b_2))
	17.1%	(/.f64 (-.f64 (/.f64 (.f64 b_2 b_2) #s(literal -1/2 binary64)) (.f64 (/.f64 a b_2) (.f64 b_2 (.f64 c #s(literal -1/2 binary64))))) (.f64 (/.f64 a b_2) (.f64 b_2 b_2)))
	21.1%	(/.f64 (-.f64 (/.f64 (.f64 b_2 b_2) #s(literal -1/2 binary64)) (.f64 a (/.f64 (.f64 b_2 (.f64 c #s(literal -1/2 binary64))) b_2))) (*.f64 a b_2))
	23.6%	(/.f64 (-.f64 (/.f64 (.f64 b_2 b_2) #s(literal -1/2 binary64)) (.f64 a (.f64 (/.f64 c (/.f64 b_2 #s(literal -1/2 binary64))) b_2))) (.f64 a b_2))
▶	35.4%	(/.f64 (-.f64 (/.f64 b_2 #s(literal -1/2 binary64)) (.f64 (/.f64 a b_2) (.f64 (/.f64 c (/.f64 b_2 #s(literal -1/2 binary64))) b_2))) (*.f64 (/.f64 a b_2) b_2))
	12.4%	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) b_2) #s(literal 1/2 binary64)) (.f64 (/.f64 (/.f64 (.f64 b_2 b_2) #s(literal -1/2 binary64)) c) (/.f64 b_2 a))) (.f64 (/.f64 (/.f64 (*.f64 b_2 b_2) #s(literal -1/2 binary64)) c) #s(literal 1/2 binary64)))
	11.3%	(/.f64 (-.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 b_2 b_2) (.f64 b_2 (.f64 c #s(literal -1/2 binary64))))) (.f64 (/.f64 a b_2) #s(literal 1 binary64))) (.f64 (/.f64 a b_2) (/.f64 (.f64 b_2 b_2) (.f64 b_2 (*.f64 c #s(literal -1/2 binary64))))))
✓	51.7%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	31.8%	(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a)
	45.3%	(/.f64 (-.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) b_2) a)
	33.3%	(/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 c a)) b_2)) a)
	17.5%	(/.f64 (.f64 (-.f64 #s(literal 0 binary64) b_2) (+.f64 (.f64 b_2 b_2) (/.f64 (.f64 c (/.f64 a #s(literal 2 binary64))) #s(literal -2 binary64)))) (.f64 b_2 (*.f64 b_2 (/.f64 a #s(literal 2 binary64)))))
	35.9%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	35.6%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
	22.9%	(/.f64 (.f64 a (-.f64 (sqrt.f64 (.f64 a (-.f64 #s(literal 0 binary64) c))) b_2)) (*.f64 a a))
	22.4%	(/.f64 (.f64 a (.f64 b_2 #s(literal -2 binary64))) (*.f64 a a))
	32.1%	(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) b_2)) #s(literal -1 binary64))) a)
	36.2%	(/.f64 a (/.f64 (.f64 a a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)))
	24.4%	(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a))))
	34.4%	(/.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))
	35.4%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c))
	18.5%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (exp.f64 (log.f64 (.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))))))
	28.3%	(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) b_2)))
	34.3%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (.f64 (.f64 b_2 b_2) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2)))))) b_2)))
	31.8%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c))) b_2)))
	35.6%	(/.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)))
	51.6%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) a))
	34.8%	(/.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))))
▶	35.6%	(-.f64 (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)) (/.f64 b_2 (/.f64 a #s(literal 2 binary64))))
▶	36.0%	(.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (.f64 a a)) a)
	13.6%	(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
	35.4%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) b_2)) (/.f64 #s(literal -1 binary64) a))
	37.1%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)))
▶	51.6%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
	35.4%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
	24.5%	(exp.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))
▶	13.8%	#s(literal 0 binary64)

Compiler

Compiled 1273 to 819 computations (35.7% saved)

simplify197.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

3468×	`/-lowering-/.f32`
3468×	`/-lowering-/.f64`
2978×	`-lowering-.f32`
2978×	`-lowering-.f64`
1102×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	192
1	88	190
2	263	168
3	1220	168
4	5042	168
0	8150	168

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

localize252.0ms (2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	79.4%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (*.f64 a a))
✓	accuracy	79.0%	(.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) (.f64 a a)) a)
✓	accuracy	77.5%	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	accuracy	62.4%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	accuracy	94.4%	(.f64 (/.f64 a b_2) (.f64 (/.f64 c (/.f64 b_2 #s(literal -1/2 binary64))) b_2))
✓	accuracy	93.3%	(/.f64 (-.f64 (/.f64 b_2 #s(literal -1/2 binary64)) (.f64 (/.f64 a b_2) (.f64 (/.f64 c (/.f64 b_2 #s(literal -1/2 binary64))) b_2))) (*.f64 (/.f64 a b_2) b_2))
✓	accuracy	80.9%	(*.f64 (/.f64 a b_2) b_2)
✓	accuracy	76.0%	(*.f64 (/.f64 c (/.f64 b_2 #s(literal -1/2 binary64))) b_2)
✓	accuracy	100.0%	(/.f64 a #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) b_2)
✓	accuracy	100.0%	(-.f64 (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)) (/.f64 b_2 (/.f64 a #s(literal 2 binary64))))
✓	accuracy	99.7%	(*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))
✓	accuracy	99.1%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	96.1%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2))
✓	accuracy	77.5%	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	accuracy	62.4%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Results

87.0ms	169×	0	valid
76.0ms	55×	2	valid
32.0ms	28×	1	valid
7.0ms	4×	3	valid

Compiler

Compiled 230 to 32 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-div: 25.0ms (35% of total)

ival-mult: 23.0ms (32.2% of total)

backward-pass: 11.0ms (15.4% of total)

ival-sub: 8.0ms (11.2% of total)

ival-sqrt: 4.0ms (5.6% of total)

const: 1.0ms (1.4% of total)

series37.0ms (0.3%)

Counts

17 → 492

Calls

Call 1

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

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

Calls

123 calls:

Time	Variable		Point	Expression
5.0ms	b_2	@	0	(/ b_2 (/ a 2))
2.0ms	a	@	-inf	(/ (- (/ b_2 -1/2) (* (/ a b_2) (* (/ c (/ b_2 -1/2)) b_2))) (* (/ a b_2) b_2))
2.0ms	a	@	0	(* (/ 1 a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2))
1.0ms	b_2	@	-inf	(* (/ a b_2) b_2)
1.0ms	c	@	0	(- (* c (/ 1/2 b_2)) (/ b_2 (/ a 2)))

rewrite259.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

3960×	`-lowering-.f32`
3960×	`-lowering-.f64`
3482×	`/-lowering-/.f32`
3482×	`/-lowering-/.f64`
1222×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	134
1	153	131
2	900	109
0	8799	109

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1232

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

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

simplify366.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

6914×	`-lowering-.f32`
6914×	`-lowering-.f64`
3532×	`+-lowering-+.f64`
3532×	`+-lowering-+.f32`
1654×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	704	6535
1	2402	6209
0	8270	6209

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

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

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

eval263.0ms (2.1%)

Compiler: Compiled 38890 to 3794 computations (90.2% saved)

prune308.0ms (2.4%)

Pruning

53 alts after pruning (49 fresh and 4 done)

	Pruned	Kept	Total
New	1879	26	1905
Fresh	8	23	31
Picked	3	2	5
Done	0	2	2
Total	1890	53	1943

Accuracy

91.8%

Counts

1943 → 53

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.9%	(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))))
	25.2%	(/.f64 (/.f64 (-.f64 (/.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) (.f64 (/.f64 (.f64 a a) b_2) (/.f64 c #s(literal -2 binary64)))) a) a)
	35.2%	(/.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 c (/.f64 a (/.f64 b_2 #s(literal 1/2 binary64))))) b_2) b_2) (/.f64 a (/.f64 b_2 #s(literal 1/2 binary64))))
	33.1%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 b_2 #s(literal -1/2 binary64)) (/.f64 (*.f64 a (/.f64 c #s(literal 2 binary64))) b_2))))
	35.4%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1/2 binary64) b_2))
	21.1%	(/.f64 (-.f64 (/.f64 (.f64 b_2 b_2) #s(literal -1/2 binary64)) (.f64 a (/.f64 (.f64 b_2 (.f64 c #s(literal -1/2 binary64))) b_2))) (*.f64 a b_2))
	23.6%	(/.f64 (-.f64 (/.f64 b_2 (/.f64 #s(literal -1/2 binary64) b_2)) (/.f64 a (/.f64 #s(literal -2 binary64) c))) (*.f64 a b_2))
	26.2%	(/.f64 (-.f64 (/.f64 b_2 #s(literal -1/2 binary64)) (/.f64 (.f64 b_2 c) (/.f64 b_2 (/.f64 a (/.f64 b_2 #s(literal -1/2 binary64)))))) (.f64 (/.f64 a b_2) b_2))
	15.9%	(/.f64 (-.f64 (/.f64 b_2 #s(literal -1/2 binary64)) (.f64 (/.f64 a b_2) (/.f64 (.f64 c (.f64 a b_2)) (.f64 (/.f64 a b_2) (/.f64 b_2 (/.f64 #s(literal -1/2 binary64) b_2)))))) (*.f64 (/.f64 a b_2) b_2))
	23.8%	(/.f64 (-.f64 (/.f64 b_2 #s(literal -1/2 binary64)) (.f64 (/.f64 a b_2) (.f64 (/.f64 (/.f64 a (/.f64 #s(literal -2 binary64) c)) (/.f64 #s(literal 1 binary64) b_2)) (/.f64 #s(literal 1 binary64) (.f64 a b_2))))) (.f64 (/.f64 a b_2) b_2))
▶	30.0%	(/.f64 (-.f64 (/.f64 b_2 #s(literal -1/2 binary64)) (.f64 (/.f64 a b_2) (.f64 (/.f64 c (/.f64 b_2 #s(literal -1/2 binary64))) b_2))) (/.f64 (*.f64 a b_2) b_2))
	27.9%	(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) a) (.f64 (/.f64 a (/.f64 b_2 #s(literal -1/2 binary64))) (/.f64 (.f64 a (/.f64 c #s(literal 2 binary64))) b_2))) (*.f64 (/.f64 a (/.f64 b_2 #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) a)))
	16.0%	(/.f64 (-.f64 (.f64 (/.f64 b_2 (/.f64 a (/.f64 b_2 #s(literal -1/2 binary64)))) (.f64 a b_2)) (.f64 b_2 (/.f64 a (/.f64 #s(literal -2 binary64) c)))) (.f64 b_2 (*.f64 a b_2)))
	18.6%	(/.f64 (-.f64 (.f64 (/.f64 b_2 #s(literal -1/2 binary64)) (/.f64 b_2 (/.f64 c #s(literal -2 binary64)))) a) (.f64 a (/.f64 b_2 (/.f64 c #s(literal -2 binary64)))))
	18.8%	(/.f64 (-.f64 (.f64 (/.f64 b_2 #s(literal -1/2 binary64)) (/.f64 a b_2)) (.f64 a (/.f64 (/.f64 c (/.f64 b_2 #s(literal -1/2 binary64))) (/.f64 b_2 a)))) (/.f64 (*.f64 a a) b_2))
	12.4%	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) b_2) #s(literal 1/2 binary64)) (.f64 (/.f64 (/.f64 (.f64 b_2 b_2) #s(literal -1/2 binary64)) c) (/.f64 b_2 a))) (.f64 (/.f64 (/.f64 (*.f64 b_2 b_2) #s(literal -1/2 binary64)) c) #s(literal 1/2 binary64)))
	35.5%	(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 c (/.f64 a (/.f64 b_2 #s(literal 1/2 binary64))))) b_2) (/.f64 a #s(literal 2 binary64)))
✓	51.7%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	31.8%	(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a)
	33.3%	(/.f64 (+.f64 (/.f64 b_2 #s(literal -1/2 binary64)) (/.f64 (*.f64 a (/.f64 c #s(literal 2 binary64))) b_2)) a)
	33.0%	(/.f64 (+.f64 (+.f64 (/.f64 b_2 #s(literal -1/2 binary64)) (/.f64 (.f64 a (/.f64 c #s(literal 2 binary64))) b_2)) (fma.f64 (/.f64 c (/.f64 b_2 #s(literal 1/2 binary64))) a (/.f64 a (/.f64 b_2 (/.f64 c #s(literal -2 binary64)))))) (.f64 (/.f64 a b_2) b_2))
	33.0%	(/.f64 (+.f64 (+.f64 (/.f64 b_2 #s(literal -1/2 binary64)) (/.f64 (.f64 a (/.f64 c #s(literal 2 binary64))) b_2)) (+.f64 (+.f64 (/.f64 (.f64 a (/.f64 c #s(literal 2 binary64))) b_2) (/.f64 a (/.f64 b_2 (/.f64 c #s(literal -2 binary64))))) (+.f64 (/.f64 (.f64 a (/.f64 c #s(literal 2 binary64))) b_2) (/.f64 a (/.f64 b_2 (/.f64 c #s(literal -2 binary64))))))) (.f64 (/.f64 a b_2) b_2))
	17.5%	(/.f64 (.f64 (-.f64 #s(literal 0 binary64) b_2) (+.f64 (.f64 b_2 b_2) (/.f64 (.f64 c (/.f64 a #s(literal 2 binary64))) #s(literal -2 binary64)))) (.f64 b_2 (*.f64 b_2 (/.f64 a #s(literal 2 binary64)))))
	13.6%	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
	35.9%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	35.6%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
	22.9%	(/.f64 (.f64 a (-.f64 (sqrt.f64 (.f64 a (-.f64 #s(literal 0 binary64) c))) b_2)) (*.f64 a a))
	22.4%	(/.f64 (.f64 a (.f64 b_2 #s(literal -2 binary64))) (*.f64 a a))
	32.1%	(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) b_2)) #s(literal -1 binary64))) a)
	24.4%	(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a))))
	34.4%	(/.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))
	35.4%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c))
	18.5%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (exp.f64 (log.f64 (.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))))))
	28.3%	(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) b_2)))
	31.8%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 a (-.f64 #s(literal 0 binary64) c))) b_2)))
	35.6%	(/.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)))
▶	51.6%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) a))
	34.8%	(/.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))))
	35.6%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 b_2 (/.f64 c #s(literal 2 binary64)))) (/.f64 b_2 (/.f64 a #s(literal 2 binary64))))
▶	30.1%	(-.f64 (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)) (/.f64 b_2 (/.f64 (/.f64 b_2 (/.f64 #s(literal 2 binary64) a)) b_2)))
✓	35.6%	(-.f64 (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)) (/.f64 b_2 (/.f64 a #s(literal 2 binary64))))
	33.1%	(+.f64 (+.f64 (/.f64 c (/.f64 b_2 #s(literal 1/2 binary64))) (/.f64 b_2 (/.f64 a #s(literal -2 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 (.f64 a (/.f64 c #s(literal 2 binary64))) b_2) (/.f64 a (/.f64 b_2 (/.f64 c #s(literal -2 binary64)))))))
	31.1%	(.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2) a) a)
	24.3%	(.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 c a))) b_2) (*.f64 a a)) a)
	44.9%	(.f64 (/.f64 b_2 (.f64 a b_2)) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2))
	35.4%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) b_2)) (/.f64 #s(literal -1 binary64) a))
	23.3%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 a b_2)) (.f64 b_2 (+.f64 (/.f64 b_2 #s(literal -1/2 binary64)) (/.f64 (.f64 a (/.f64 c #s(literal 2 binary64))) b_2))))
	37.1%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)))
▶	31.8%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 c a))) b_2))
▶	35.4%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
	35.5%	(.f64 (-.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (/.f64 c (/.f64 b_2 #s(literal 1/2 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) b_2) (/.f64 #s(literal 1 binary64) b_2)))
	24.5%	(exp.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)))
✓	13.8%	#s(literal 0 binary64)

Compiler

Compiled 2015 to 1265 computations (37.2% saved)

simplify247.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

3822×	`/-lowering-/.f32`
3822×	`/-lowering-/.f64`
3234×	`-lowering-.f32`
3234×	`-lowering-.f64`
1214×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	230
1	111	210
2	300	191
3	1364	191
4	4784	191
0	8458	191

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize297.0ms (2.3%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 c a)
✓	accuracy	100.0%	(-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2)
✓	accuracy	99.7%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 c a))) b_2))
✓	accuracy	81.8%	(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a)))
✓	accuracy	96.8%	(.f64 (/.f64 a b_2) (.f64 (/.f64 c (/.f64 b_2 #s(literal -1/2 binary64))) b_2))
✓	accuracy	93.3%	(/.f64 (-.f64 (/.f64 b_2 #s(literal -1/2 binary64)) (.f64 (/.f64 a b_2) (.f64 (/.f64 c (/.f64 b_2 #s(literal -1/2 binary64))) b_2))) (/.f64 (*.f64 a b_2) b_2))
✓	accuracy	84.4%	(/.f64 (*.f64 a b_2) b_2)
✓	accuracy	83.9%	(*.f64 (/.f64 c (/.f64 b_2 #s(literal -1/2 binary64))) b_2)
✓	accuracy	100.0%	(-.f64 (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)) (/.f64 b_2 (/.f64 (/.f64 b_2 (/.f64 #s(literal 2 binary64) a)) b_2)))
✓	accuracy	99.8%	(/.f64 b_2 (/.f64 #s(literal 2 binary64) a))
✓	accuracy	99.8%	(*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))
✓	accuracy	84.4%	(/.f64 (/.f64 b_2 (/.f64 #s(literal 2 binary64) a)) b_2)
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) a)
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) a))
✓	accuracy	97.6%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2)) a)
✓	accuracy	89.1%	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	accuracy	77.3%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Results

102.0ms	125×	0	valid
56.0ms	86×	0	invalid
54.0ms	27×	2	valid
19.0ms	16×	1	valid
4.0ms	2×	3	valid

Compiler

Compiled 263 to 42 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-div: 38.0ms (43% of total)

ival-mult: 21.0ms (23.8% of total)

ival-sqrt: 11.0ms (12.4% of total)

ival-sub: 9.0ms (10.2% of total)

backward-pass: 9.0ms (10.2% of total)

const: 1.0ms (1.1% of total)

series28.0ms (0.2%)

Counts

22 → 624

Calls

Call 1

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

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

Calls

156 calls:

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

rewrite302.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3896×	`-lowering-.f32`
3896×	`-lowering-.f64`
3302×	`/-lowering-/.f32`
3302×	`/-lowering-/.f64`
834×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	172
1	199	143
2	1188	134
0	8745	134

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1542

Calls

Call 1

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

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

simplify360.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

6416×	`-lowering-.f32`
6416×	`-lowering-.f64`
4146×	`+-lowering-+.f64`
4146×	`+-lowering-+.f32`
1450×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1022	8046
1	3689	7622
0	8570	7622

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 624

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

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

eval273.0ms (2.1%)

Compiler: Compiled 43705 to 4677 computations (89.3% saved)

prune300.0ms (2.4%)

Pruning

55 alts after pruning (48 fresh and 7 done)

	Pruned	Kept	Total
New	2142	24	2166
Fresh	20	24	44
Picked	2	3	5
Done	0	4	4
Total	2164	55	2219

Accuracy

99.9%

Counts

2219 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.2%	(/.f64 (/.f64 (-.f64 (/.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) (.f64 (/.f64 (.f64 a a) b_2) (/.f64 c #s(literal -2 binary64)))) a) a)
	25.8%	(/.f64 (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))) b_2) b_2) (/.f64 a b_2))
	23.5%	(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) b_2) (/.f64 #s(literal 1 binary64) b_2)) (/.f64 b_2 (/.f64 #s(literal 2 binary64) a)))
	24.6%	(/.f64 (/.f64 (.f64 (+.f64 (/.f64 b_2 #s(literal -1/2 binary64)) (.f64 c (*.f64 a (/.f64 #s(literal 1/2 binary64) b_2)))) b_2) b_2) a)
	23.6%	(/.f64 (/.f64 (.f64 b_2 b_2) #s(literal -1/2 binary64)) (.f64 b_2 a))
	13.3%	(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2) (/.f64 (*.f64 a b_2) b_2))
	35.4%	(/.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 #s(literal -1 binary64) b_2))
	33.1%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 b_2 #s(literal -1/2 binary64)) (/.f64 (*.f64 a (/.f64 c #s(literal 2 binary64))) b_2))))
	23.6%	(/.f64 (-.f64 (/.f64 b_2 (/.f64 #s(literal -1/2 binary64) b_2)) (/.f64 a (/.f64 #s(literal -2 binary64) c))) (*.f64 a b_2))
	30.1%	(/.f64 (-.f64 (/.f64 b_2 #s(literal -1/2 binary64)) (/.f64 (.f64 (/.f64 c b_2) a) #s(literal -2 binary64))) (/.f64 (.f64 a b_2) b_2))
	26.2%	(/.f64 (-.f64 (/.f64 b_2 #s(literal -1/2 binary64)) (/.f64 (.f64 b_2 c) (/.f64 b_2 (/.f64 a (/.f64 b_2 #s(literal -1/2 binary64)))))) (.f64 (/.f64 a b_2) b_2))
	15.9%	(/.f64 (-.f64 (/.f64 b_2 #s(literal -1/2 binary64)) (.f64 (/.f64 a b_2) (/.f64 (.f64 c (.f64 a b_2)) (.f64 (/.f64 a b_2) (/.f64 b_2 (/.f64 #s(literal -1/2 binary64) b_2)))))) (*.f64 (/.f64 a b_2) b_2))
	23.8%	(/.f64 (-.f64 (/.f64 b_2 #s(literal -1/2 binary64)) (.f64 (/.f64 a b_2) (.f64 (/.f64 (/.f64 a (/.f64 #s(literal -2 binary64) c)) (/.f64 #s(literal 1 binary64) b_2)) (/.f64 #s(literal 1 binary64) (.f64 a b_2))))) (.f64 (/.f64 a b_2) b_2))
	22.8%	(/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (.f64 b_2 a)) (.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 (/.f64 (/.f64 (.f64 a c) #s(literal -2 binary64)) b_2) (.f64 b_2 a)))) (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)))
	16.0%	(/.f64 (-.f64 (.f64 (/.f64 b_2 (/.f64 a (/.f64 b_2 #s(literal -1/2 binary64)))) (.f64 a b_2)) (.f64 b_2 (/.f64 a (/.f64 #s(literal -2 binary64) c)))) (.f64 b_2 (*.f64 a b_2)))
	18.6%	(/.f64 (-.f64 (.f64 (/.f64 b_2 #s(literal -1/2 binary64)) (/.f64 b_2 (/.f64 c #s(literal -2 binary64)))) a) (.f64 a (/.f64 b_2 (/.f64 c #s(literal -2 binary64)))))
	18.8%	(/.f64 (-.f64 (.f64 (/.f64 b_2 #s(literal -1/2 binary64)) (/.f64 a b_2)) (.f64 a (/.f64 (/.f64 c (/.f64 b_2 #s(literal -1/2 binary64))) (/.f64 b_2 a)))) (/.f64 (*.f64 a a) b_2))
	12.4%	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) b_2) #s(literal 1/2 binary64)) (.f64 (/.f64 (/.f64 (.f64 b_2 b_2) #s(literal -1/2 binary64)) c) (/.f64 b_2 a))) (.f64 (/.f64 (/.f64 (*.f64 b_2 b_2) #s(literal -1/2 binary64)) c) #s(literal 1/2 binary64)))
	16.7%	(/.f64 (-.f64 (.f64 (.f64 c #s(literal 1/2 binary64)) (/.f64 b_2 (/.f64 #s(literal 2 binary64) a))) (.f64 b_2 (.f64 b_2 b_2))) (*.f64 b_2 (/.f64 b_2 (/.f64 #s(literal 2 binary64) a))))
✓	51.7%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	31.8%	(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a)
	27.9%	(/.f64 (-.f64 a (.f64 (/.f64 a (/.f64 b_2 #s(literal -1/2 binary64))) (/.f64 (/.f64 (.f64 a c) #s(literal -2 binary64)) b_2))) (*.f64 (/.f64 a (/.f64 b_2 #s(literal -1/2 binary64))) a))
	35.5%	(/.f64 (+.f64 (/.f64 b_2 #s(literal -1/2 binary64)) (.f64 c (.f64 a (/.f64 #s(literal 1/2 binary64) b_2)))) a)
	33.0%	(/.f64 (+.f64 (+.f64 (/.f64 b_2 #s(literal -1/2 binary64)) (/.f64 (.f64 a (/.f64 c #s(literal 2 binary64))) b_2)) (fma.f64 (/.f64 c (/.f64 b_2 #s(literal 1/2 binary64))) a (/.f64 a (/.f64 b_2 (/.f64 c #s(literal -2 binary64)))))) (.f64 (/.f64 a b_2) b_2))
	29.8%	(/.f64 (+.f64 (+.f64 (/.f64 b_2 #s(literal -1/2 binary64)) (.f64 c (.f64 a (/.f64 #s(literal 1/2 binary64) b_2)))) (+.f64 (+.f64 (.f64 c (.f64 a (/.f64 #s(literal 1/2 binary64) b_2))) (/.f64 (/.f64 (.f64 a c) #s(literal -2 binary64)) b_2)) (+.f64 (.f64 c (.f64 a (/.f64 #s(literal 1/2 binary64) b_2))) (/.f64 (/.f64 (.f64 a c) #s(literal -2 binary64)) b_2)))) (/.f64 (*.f64 a b_2) b_2))
	13.6%	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
	35.9%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	35.6%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
	22.9%	(/.f64 (.f64 a (-.f64 (sqrt.f64 (.f64 a (-.f64 #s(literal 0 binary64) c))) b_2)) (*.f64 a a))
	22.4%	(/.f64 (.f64 a (.f64 b_2 #s(literal -2 binary64))) (*.f64 a a))
	23.6%	(/.f64 (.f64 #s(literal -1 binary64) (.f64 b_2 b_2)) (/.f64 b_2 (/.f64 #s(literal 2 binary64) a)))
	32.1%	(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) b_2)) #s(literal -1 binary64))) a)
	34.4%	(/.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))
	35.4%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c))
	28.3%	(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) b_2)))
	31.8%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))) b_2)))
	35.6%	(/.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)))
	31.3%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b_2)))) a))
	35.4%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a))
	29.3%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -2 binary64) (/.f64 (/.f64 b_2 a) c)) a))
	34.8%	(/.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))))
✓	30.1%	(-.f64 (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)) (/.f64 b_2 (/.f64 (/.f64 b_2 (/.f64 #s(literal 2 binary64) a)) b_2)))
✓	35.6%	(-.f64 (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)) (/.f64 b_2 (/.f64 a #s(literal 2 binary64))))
	33.1%	(+.f64 (+.f64 (/.f64 c (/.f64 b_2 #s(literal 1/2 binary64))) (/.f64 b_2 (/.f64 a #s(literal -2 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 (.f64 a (/.f64 c #s(literal 2 binary64))) b_2) (/.f64 a (/.f64 b_2 (/.f64 c #s(literal -2 binary64)))))))
	31.1%	(.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2) a) a)
	30.1%	(.f64 (/.f64 (/.f64 b_2 #s(literal -1/2 binary64)) (.f64 b_2 a)) b_2)
	23.3%	(.f64 (/.f64 (.f64 b_2 b_2) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b_2 a)))
	29.1%	(.f64 (/.f64 b_2 (.f64 b_2 a)) (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2))
	34.9%	(.f64 (/.f64 b_2 a) (-.f64 #s(literal -2 binary64) (/.f64 c (/.f64 (/.f64 (.f64 b_2 b_2) #s(literal -1/2 binary64)) a))))
	20.7%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) c)) (sqrt.f64 a)) b_2))
	17.5%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 c)) b_2))
✓	31.8%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 c a))) b_2))
✓	35.4%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
	23.3%	(.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 c (/.f64 a #s(literal 2 binary64)))) (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) (*.f64 b_2 a)))
✓	13.8%	#s(literal 0 binary64)

Compiler

Compiled 2589 to 1020 computations (60.6% saved)

regimes128.0ms (1%)

Counts

98 → 3

Calls

Call 1

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

Outputs

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

4 calls:

34.0ms	c
32.0ms	a
26.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
25.0ms	b_2

Results

Accuracy	Segments	Branch
59.2%	4	`a`
87.3%	3	`b_2`
60.0%	5	`c`
77.5%	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes96.0ms (0.8%)

Counts

72 → 3

Calls

Call 1

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

Outputs

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

Calls

1 calls:

19.0ms

b_2

Results

Accuracy	Segments	Branch
83.8%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes23.0ms (0.2%)

Counts

68 → 2

Calls

Call 1

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

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

Calls

1 calls:

18.0ms

b_2

Results

Accuracy	Segments	Branch
69.3%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

b_2

Results

Accuracy	Segments	Branch
69.0%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	a
2.0ms	c
2.0ms	b_2

Results

Accuracy	Segments	Branch
35.6%	1	`c`
35.6%	1	`a`
46.7%	2	`b_2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

b_2

Results

Accuracy	Segments	Branch
46.6%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

3 calls:

1.0ms	a
1.0ms	c
1.0ms	b_2

Results

Accuracy	Segments	Branch
13.8%	1	`a`
13.8%	1	`c`
13.8%	1	`b_2`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch421.0ms (3.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
399.0ms	4.9680771576632987e-172	3.3583242395826414e-146
18.0ms	-2.5265604769101013e+157	-3.2053154203016384e+152

Results

371.0ms	30×	1	valid
25.0ms	281×	0	valid
6.0ms	70×	0	invalid
3.0ms	9×	2	valid

Compiler

Compiled 576 to 391 computations (32.1% saved)

Precisions

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

ival-mult: 7.0ms (31.6% of total)

ival-sqrt: 4.0ms (18% of total)

ival-div: 3.0ms (13.5% of total)

ival-sub: 2.0ms (9% of total)

ival-neg: 2.0ms (9% of total)

ival-add: 2.0ms (9% of total)

backward-pass: 1.0ms (4.5% of total)

const: 0.0ms (0% of total)

bsearch66.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
44.0ms	4.9680771576632987e-172	3.3583242395826414e-146
16.0ms	-9.193396928947834e-29	-5.216557676609614e-30

Results

22.0ms	255×	0	valid
8.0ms	98×	0	invalid
5.0ms	28×	1	valid
1.0ms	5×	2	valid

Compiler

Compiled 478 to 349 computations (27% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 6.0ms (29.1% of total)

ival-div: 3.0ms (14.5% of total)

ival-sqrt: 3.0ms (14.5% of total)

ival-sub: 2.0ms (9.7% of total)

ival-neg: 2.0ms (9.7% of total)

ival-add: 2.0ms (9.7% of total)

backward-pass: 1.0ms (4.8% of total)

const: 0.0ms (0% of total)

bsearch38.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
35.0ms	-5.010047845475266e-286	3.353702163689175e-305

Results

16.0ms	176×	0	valid
11.0ms	106×	0	invalid

Compiler

Compiled 286 to 213 computations (25.5% saved)

Precisions

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

ival-mult: 4.0ms (30% of total)

ival-div: 2.0ms (15% of total)

ival-add: 2.0ms (15% of total)

ival-sqrt: 2.0ms (15% of total)

ival-neg: 2.0ms (15% of total)

ival-sub: 1.0ms (7.5% of total)

const: 0.0ms (0% of total)

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

bsearch51.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
47.0ms	-5.010047845475266e-286	3.353702163689175e-305

Results

31.0ms	176×	0	valid
8.0ms	99×	0	invalid

Compiler

Compiled 220 to 169 computations (23.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-neg: 17.0ms (59.6% of total)

ival-mult: 4.0ms (14% of total)

ival-div: 2.0ms (7% of total)

ival-sqrt: 2.0ms (7% of total)

ival-sub: 1.0ms (3.5% of total)

ival-add: 1.0ms (3.5% of total)

const: 0.0ms (0% of total)

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

bsearch55.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
52.0ms	-5.010047845475266e-286	3.353702163689175e-305

Results

39.0ms	176×	0	valid
6.0ms	72×	0	invalid

Compiler

Compiled 176 to 147 computations (16.5% saved)

Precisions

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

ival-mult: 4.0ms (34.5% of total)

ival-div: 2.0ms (17.3% of total)

ival-sqrt: 2.0ms (17.3% of total)

ival-sub: 1.0ms (8.6% of total)

ival-add: 1.0ms (8.6% of total)

ival-neg: 1.0ms (8.6% of total)

const: 0.0ms (0% of total)

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

bsearch34.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	-5.010047845475266e-286	3.353702163689175e-305

Results

15.0ms	176×	0	valid
9.0ms	90×	0	invalid

Compiler

Compiled 176 to 147 computations (16.5% saved)

Precisions

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

ival-mult: 4.0ms (32.2% of total)

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

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

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

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

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

const: 0.0ms (0% of total)

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
22×	`+-commutative_binary64`
22×	`sub-neg_binary64`
14×	`neg-mul-1_binary64`
12×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	124
1	70	124
2	91	124
3	105	124
4	113	124
5	116	124
6	117	124

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -349999999999999981299619709475567412636749174758536760746825232213187044626699217561156140144611668304793384316062770151616854812531005478560753858379776 binary64)) (-.f64 (.f64 c (/.f64 #s(literal 1/2 binary64) b_2)) (/.f64 b_2 (/.f64 a #s(literal 2 binary64)))) (if (<=.f64 b_2 #s(literal 6748370691814795/224945689727159819140526925384299092943484855915095831655037778630591879033574393515952034305194542857496045531676044756160413302774714984450425759043258192756736 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 -501766766966939/11150372599265311570767859136324180752990208 binary64)) (-.f64 (.f64 c (/.f64 #s(literal 1/2 binary64) b_2)) (/.f64 b_2 (/.f64 a #s(literal 2 binary64)))) (if (<=.f64 b_2 #s(literal 3711603880498137/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368 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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (.f64 c (/.f64 #s(literal 1/2 binary64) b_2)) (/.f64 b_2 (/.f64 a #s(literal 2 binary64)))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) #s(literal 0 binary64))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 0 binary64))
#s(literal 0 binary64)

Outputs
(if (<=.f64 b_2 #s(literal -349999999999999981299619709475567412636749174758536760746825232213187044626699217561156140144611668304793384316062770151616854812531005478560753858379776 binary64)) (-.f64 (.f64 c (/.f64 #s(literal 1/2 binary64) b_2)) (/.f64 b_2 (/.f64 a #s(literal 2 binary64)))) (if (<=.f64 b_2 #s(literal 6748370691814795/224945689727159819140526925384299092943484855915095831655037778630591879033574393515952034305194542857496045531676044756160413302774714984450425759043258192756736 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 -349999999999999981299619709475567412636749174758536760746825232213187044626699217561156140144611668304793384316062770151616854812531005478560753858379776 binary64)) (-.f64 (.f64 c (/.f64 #s(literal 1/2 binary64) b_2)) (/.f64 b_2 (/.f64 a #s(literal 2 binary64)))) (if (<=.f64 b_2 #s(literal 6748370691814795/224945689727159819140526925384299092943484855915095831655037778630591879033574393515952034305194542857496045531676044756160413302774714984450425759043258192756736 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -501766766966939/11150372599265311570767859136324180752990208 binary64)) (-.f64 (.f64 c (/.f64 #s(literal 1/2 binary64) b_2)) (/.f64 b_2 (/.f64 a #s(literal 2 binary64)))) (if (<=.f64 b_2 #s(literal 3711603880498137/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368 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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (.f64 c (/.f64 #s(literal 1/2 binary64) b_2)) (/.f64 b_2 (/.f64 a #s(literal 2 binary64)))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) #s(literal 0 binary64))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 0 binary64))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness1.1s (9%)

Rules

5240×	`-lowering-.f32`
5240×	`-lowering-.f64`
4070×	`-lowering-.f32`
4070×	`-lowering-.f64`
2628×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	134
1	135	129
2	612	114
3	3882	111
0	10304	111
0	508	2984
1	1738	2788
2	6461	2769
0	8032	2769
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×	fuel
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 538 to 320 computations (40.5% saved)

preprocess58.0ms (0.5%)

Compiler: Compiled 472 to 166 computations (64.8% saved)

analyze160.0ms (1.3%)

sample2.0s (15.4%)

preprocess144.0ms (1.1%)

explain173.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify64.0ms (0.5%)

localize84.0ms (0.7%)

series20.0ms (0.2%)

rewrite190.0ms (1.5%)

simplify325.0ms (2.5%)

eval111.0ms (0.9%)

prune77.0ms (0.6%)

simplify193.0ms (1.5%)

localize372.0ms (2.9%)

series42.0ms (0.3%)

rewrite713.0ms (5.6%)

simplify1.3s (10.4%)

eval716.0ms (5.6%)

prune429.0ms (3.4%)

simplify197.0ms (1.5%)

localize252.0ms (2%)

series37.0ms (0.3%)

rewrite259.0ms (2%)

simplify366.0ms (2.9%)

eval263.0ms (2.1%)

prune308.0ms (2.4%)

simplify247.0ms (1.9%)

localize297.0ms (2.3%)

series28.0ms (0.2%)

rewrite302.0ms (2.4%)

simplify360.0ms (2.8%)

eval273.0ms (2.1%)

prune300.0ms (2.4%)

regimes128.0ms (1%)

regimes96.0ms (0.8%)

regimes23.0ms (0.2%)

regimes6.0ms (0%)

regimes7.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

bsearch421.0ms (3.3%)

bsearch66.0ms (0.5%)

bsearch38.0ms (0.3%)

bsearch51.0ms (0.4%)

bsearch55.0ms (0.4%)

bsearch34.0ms (0.3%)

simplify12.0ms (0.1%)

soundness1.1s (9%)

preprocess58.0ms (0.5%)

end0.0ms (0%)

Profiling