Metrics for quad2m (problem 3.2.1, negative)

analyze172.0ms (1.5%)

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: 93.0ms

ival-div: 29.0ms (31.3% of total)

ival-sub: 25.0ms (27% of total)

ival-mult: 18.0ms (19.4% of total)

ival-sqrt: 10.0ms (10.8% of total)

ival-neg: 10.0ms (10.8% of total)

const: 1.0ms (1.1% of total)

backward-pass: 1.0ms (1.1% of total)

sample2.0s (17%)

Results

605.0ms	1892×	2	valid
470.0ms	5541×	0	valid
139.0ms	1069×	0	invalid
136.0ms	823×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 897.0ms

ival-mult: 281.0ms (31.3% of total)

ival-sqrt: 158.0ms (17.6% of total)

ival-sub: 155.0ms (17.3% of total)

ival-neg: 121.0ms (13.5% of total)

ival-div: 114.0ms (12.7% of total)

backward-pass: 59.0ms (6.6% of total)

const: 8.0ms (0.9% of total)

Bogosity

preprocess122.0ms (1%)

Algorithm

2×	egg-herbie

Rules

2180×	`fnmadd-define`
1686×	`fmsub-define`
1660×	`fnmsub-define`
1540×	`fmm-def`
1110×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	125
1	167	121
2	420	116
3	1378	116
4	4347	116
0	10	12
1	27	12
2	57	12
3	132	12
4	244	12
5	544	12
6	1347	12
7	2220	12
8	2593	12
9	2868	12
10	2891	12
11	2899	12
0	2899	12

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

explain182.0ms (1.6%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
109	-	0	-	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
58	-	0	-	`(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
10	-	1	(-2.8710164383507894e-258 -1.6997468107662056e+52 -1.422819659407989)	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
0	-	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

41.0ms	106×	2	valid
35.0ms	352×	0	valid
11.0ms	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: 18.0ms (36.6% of total)

ival-sub: 10.0ms (20.3% of total)

ival-div: 6.0ms (12.2% of total)

ival-sqrt: 6.0ms (12.2% of total)

ival-neg: 5.0ms (10.2% of total)

backward-pass: 5.0ms (10.2% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 17 to 11 computations (35.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.3%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify66.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

920×	`fnmadd-define`
562×	`fnmsub-define`
550×	`fmsub-define`
526×	`fma-define`
504×	`sum3-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	46
1	27	46
2	57	46
3	132	46
4	244	46
5	544	46
6	1347	46
7	2220	46
8	2593	46
9	2868	46
10	2891	46
11	2899	46
0	2899	46

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize63.0ms (0.5%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	96.5%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	accuracy	79.3%	(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	accuracy	60.0%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Results

22.0ms	176×	0	valid
21.0ms	53×	2	valid
6.0ms	27×	1	valid

Compiler

Compiled 54 to 11 computations (79.6% saved)

Precisions

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

ival-mult: 7.0ms (25.9% of total)

ival-sqrt: 6.0ms (22.2% of total)

ival-div: 4.0ms (14.8% of total)

ival-sub: 4.0ms (14.8% of total)

ival-neg: 2.0ms (7.4% of total)

backward-pass: 2.0ms (7.4% of total)

const: 0.0ms (0% of total)

series23.0ms (0.2%)

Counts

6 → 180

Calls

Call 1

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

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

Calls

45 calls:

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

rewrite285.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3632×	`-lowering-.f32`
3632×	`-lowering-.f64`
2558×	`/-lowering-/.f32`
2558×	`/-lowering-/.f64`
1300×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	41
1	70	41
2	555	39
0	8588	39

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 418

Calls

Call 1

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

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

simplify326.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

5216×	`-lowering-.f32`
5216×	`-lowering-.f64`
2128×	`+-lowering-+.f64`
2128×	`+-lowering-+.f32`
1654×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	528	3005
1	1844	2933
2	6552	2905
0	8052	2905

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

eval75.0ms (0.6%)

Compiler: Compiled 20981 to 2223 computations (89.4% saved)

prune103.0ms (0.9%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	576	22	598
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	576	23	599

Accuracy

89.5%

Counts

599 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.1%	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 b_2)) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) a)
	27.3%	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
	41.4%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
▶	51.5%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) a)
	10.2%	(/.f64 (-.f64 (neg.f64 b_2) (-.f64 #s(literal 0 binary64) b_2)) a)
	32.4%	(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2))) a)
▶	10.0%	(/.f64 (-.f64 (neg.f64 b_2) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))) a)
✓	52.3%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	37.7%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))) a)
	16.3%	(/.f64 (-.f64 a (.f64 (/.f64 a b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (.f64 (/.f64 a b_2) a))
	34.3%	(/.f64 (+.f64 (.f64 (.f64 a #s(literal 1/8 binary64)) (/.f64 (/.f64 (.f64 c c) b_2) b_2)) (.f64 c #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) b_2))
	24.0%	(/.f64 (+.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
	32.4%	(/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 (.f64 (*.f64 a c) #s(literal 1/2 binary64)) b_2)) a)
	27.3%	(/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 a (-.f64 (/.f64 (.f64 (.f64 a #s(literal 1/8 binary64)) (/.f64 (/.f64 (.f64 c c) b_2) b_2)) b_2) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))) a)
	33.4%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
	33.0%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
▶	52.3%	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
▶	32.8%	(+.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2))
	31.3%	(+.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (.f64 (.f64 a c) #s(literal 1/8 binary64)) (.f64 b_2 (.f64 b_2 b_2))))))
	52.3%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
	24.9%	(.f64 (-.f64 (.f64 b_2 a) (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (/.f64 #s(literal 1 binary64) (.f64 a a)))
	32.2%	(.f64 b_2 (+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
▶	33.0%	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))

Compiler

Compiled 822 to 506 computations (38.4% saved)

simplify225.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
✓	cost-diff	64	(-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
✓	cost-diff	64	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) a)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2)))
✓	cost-diff	384	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))
✓	cost-diff	704	(-.f64 (neg.f64 b_2) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2)))
✓	cost-diff	704	(/.f64 (-.f64 (neg.f64 b_2) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))) a)
✓	cost-diff	0	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
✓	cost-diff	0	(/.f64 b_2 a)
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
✓	cost-diff	0	(+.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2))
✓	cost-diff	0	(/.f64 b_2 a)
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
✓	cost-diff	0	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	cost-diff	0	(+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	cost-diff	0	(/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))

Rules

3174×	`-lowering-.f32`
3174×	`-lowering-.f64`
1388×	`sum5-define`
1072×	`distribute-lft-neg-in`
1008×	`sum3-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	254
1	86	248
2	232	244
3	824	238
4	4438	227
0	8259	227

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize693.0ms (5.9%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.1%	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	accuracy	96.5%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) a)
✓	accuracy	79.3%	(-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
✓	accuracy	62.3%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	accuracy	94.8%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))
✓	accuracy	85.9%	(/.f64 (-.f64 (neg.f64 b_2) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2))) a)
✓	accuracy	80.6%	(/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2))
✓	accuracy	62.6%	(-.f64 (neg.f64 b_2) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2)))
✓	accuracy	100.0%	(/.f64 b_2 a)
✓	accuracy	100.0%	(*.f64 c #s(literal 1/2 binary64))
✓	accuracy	100.0%	(+.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2))
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
✓	accuracy	100.0%	(/.f64 b_2 a)
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
✓	accuracy	99.3%	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
✓	accuracy	96.8%	(/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
✓	accuracy	79.3%	(+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	accuracy	60.0%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Results

87.0ms	79×	1	valid
84.0ms	64×	2	valid
35.0ms	98×	0	valid
21.0ms	15×	3	valid

Compiler

Compiled 285 to 36 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-mult: 55.0ms (42.6% of total)

ival-div: 28.0ms (21.7% of total)

backward-pass: 16.0ms (12.4% of total)

ival-sub: 10.0ms (7.7% of total)

ival-sqrt: 8.0ms (6.2% of total)

ival-add: 7.0ms (5.4% of total)

ival-neg: 3.0ms (2.3% of total)

const: 2.0ms (1.5% of total)

series66.0ms (0.6%)

Counts

19 → 624

Calls

Call 1

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

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

Calls

156 calls:

Time	Variable		Point	Expression
8.0ms	c	@	0	(/ (- (neg b_2) (* (+ 1 (/ (* a (* c -1/2)) (* b_2 b_2))) (- 0 b_2))) a)
3.0ms	b_2	@	-inf	(/ a (+ b_2 (sqrt (- (* b_2 b_2) (* a c)))))
3.0ms	b_2	@	0	(sqrt (/ 1 (- (* b_2 b_2) (* a c))))
2.0ms	c	@	0	(+ b_2 (sqrt (- (* b_2 b_2) (* a c))))
2.0ms	c	@	0	(/ (* a (* c -1/2)) (* b_2 b_2))

rewrite358.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

2680×	`/-lowering-/.f32`
2680×	`/-lowering-/.f64`
2194×	`-lowering-.f32`
2194×	`-lowering-.f64`
1426×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	180
1	232	171
2	2469	164
0	9480	164

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 918

Calls

Call 1

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

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

simplify441.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

6078×	`-lowering-.f32`
6078×	`-lowering-.f64`
3388×	`+-lowering-+.f64`
3388×	`+-lowering-+.f32`
1780×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1216	10727
1	4349	10359
0	8669	10359

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 624

Calls

Call 1

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

Outputs
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 a c)) b_2) (*.f64 #s(literal -2 binary64) b_2)) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/.f64 (+.f64 (.f64 a (+.f64 (.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (.f64 a (.f64 c c)) (.f64 b_2 b_2))) (/.f64 (.f64 #s(literal 1/2 binary64) c) b_2))) (*.f64 #s(literal -2 binary64) b_2)) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(/.f64 (+.f64 (.f64 a (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) c) b_2) (.f64 a (+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 a (.f64 c (.f64 c c)))) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 c c)) (.f64 b_2 (.f64 b_2 b_2))))))) (.f64 #s(literal -2 binary64) b_2)) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(-.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 b_2 a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(-.f64 (+.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 b_2 a)) (.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 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 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 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 b_2 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))))) a))
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 b_2 (/.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 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 a c))))) a)) a))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(-.f64 (.f64 b_2 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) b_2) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(-.f64 (.f64 b_2 (+.f64 (.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))))) (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 (.f64 b_2 b_2) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))) (/.f64 #s(literal -1 binary64) a))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(.f64 b_2 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) c) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(.f64 b_2 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 a (.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64)))) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) c) (.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(.f64 b_2 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a a)) (pow.f64 b_2 #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 a (.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64)))) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) c) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))))
(* -1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 a (.f64 c c)) (.f64 b_2 b_2))) (*.f64 #s(literal 1/2 binary64) c)) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(/.f64 (+.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 a (.f64 c c)) (.f64 b_2 b_2))) (.f64 #s(literal 1/2 binary64) c)) (.f64 #s(literal 1/16 binary64) (.f64 (.f64 a a) (/.f64 (.f64 c (.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 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))))))) b_2))
(/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 a a) (/.f64 (.f64 c (.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 a (.f64 c c)) (.f64 b_2 b_2))) (.f64 #s(literal 1/2 binary64) (+.f64 c (.f64 (/.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 #s(literal 5/64 binary64) a)))))) (-.f64 #s(literal 0 binary64) b_2))
(* -2 (/ b_2 a))
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+.f64 (/.f64 (.f64 #s(literal -2 binary64) b_2) a) (/.f64 (.f64 #s(literal 1/2 binary64) c) b_2))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+.f64 (/.f64 (.f64 #s(literal -2 binary64) b_2) a) (.f64 c (+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 a c)) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 #s(literal 1/2 binary64) b_2))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(+.f64 (/.f64 (.f64 #s(literal -2 binary64) b_2) a) (.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (.f64 c (+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 c (.f64 a a))) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (.f64 #s(literal 1/8 binary64) a) (.f64 b_2 (*.f64 b_2 b_2))))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(.f64 c (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 b_2 a) c)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (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 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a))))))) (/.f64 (/.f64 b_2 a) c)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(.f64 c (-.f64 (-.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a))))))) (.f64 #s(literal 1/8 binary64) (.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64))))))) (/.f64 (/.f64 b_2 a) c)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(.f64 (-.f64 (/.f64 (/.f64 b_2 a) c) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))) (neg.f64 c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(.f64 (-.f64 (-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)))) (/.f64 b_2 a)) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(.f64 (-.f64 (-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 b_2 a)) (/.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.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 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))))) c)) c)) (neg.f64 c))
(* 1/2 (/ a b_2))
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2)
(* a (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(.f64 a (+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 a c)) (.f64 b_2 (*.f64 b_2 b_2))) (/.f64 #s(literal 1/2 binary64) b_2)))
(* a (+ (* a (- (* 1/16 (/ (* a (pow c 2)) (pow b_2 5))) (* -1/8 (/ c (pow b_2 3))))) (* 1/2 (/ 1 b_2))))
(.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (.f64 a (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 a (.f64 c c)) (pow.f64 b_2 #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 c (.f64 b_2 (.f64 b_2 b_2))))))))
(* a (+ (* a (- (* a (- (* -1 (* a (+ (* -1/32 (/ (pow c 3) (pow b_2 7))) (* -1/128 (/ (pow c 3) (pow b_2 7)))))) (* -1/16 (/ (pow c 2) (pow b_2 5))))) (* -1/8 (/ c (pow b_2 3))))) (* 1/2 (/ 1 b_2))))
(.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (.f64 a (+.f64 (.f64 a (+.f64 (.f64 (.f64 (/.f64 (.f64 c (.f64 c c)) (pow.f64 b_2 #s(literal 7 binary64))) #s(literal -5/128 binary64)) (neg.f64 a)) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 c c) (pow.f64 b_2 #s(literal 5 binary64)))))) (.f64 #s(literal 1/8 binary64) (/.f64 c (.f64 b_2 (.f64 b_2 b_2))))))))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 b_2 c) #s(literal 1 binary64)))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (/ b_2 (* c (pow (sqrt -1) 2))))
(+.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 (.f64 (/.f64 (.f64 b_2 b_2) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) #s(literal -1/2 binary64)) (*.f64 a a))) (/.f64 (/.f64 b_2 c) #s(literal 1 binary64)))
(- (+ (* -1 (/ (+ (* -1 (* (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)))) (* -1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4))))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (/ b_2 (* c (pow (sqrt -1) 2))))))
(-.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 (.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a a)) (.f64 c c))) (/.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 b_2 (.f64 (.f64 (/.f64 (.f64 b_2 b_2) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 a (.f64 a a)))) (-.f64 (+.f64 (.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)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) (/.f64 b_2 c))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 b_2 b_2)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* (sqrt (/ a c)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c))
(-.f64 (/.f64 b_2 c) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a 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)))) (/ (* a b_2) c)) a)))
(-.f64 (-.f64 #s(literal 0 binary64) (/.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 (.f64 c (.f64 c c)))))) (.f64 a (/.f64 b_2 c))) a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (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 (/ (* a (pow b_2 3)) (pow c 2)))) (+ (* -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)) (/ (* a b_2) c)) a)))
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(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))))
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(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
(.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 b_2 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))))) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 b_2 (/.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 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 a c))))) a)) a)) (neg.f64 a))
(* 2 b_2)
(*.f64 b_2 #s(literal 2 binary64))
(+ (* -1/2 (/ (* a c) b_2)) (* 2 b_2))
(+.f64 (.f64 b_2 #s(literal 2 binary64)) (/.f64 (.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2))
(+ (* 2 b_2) (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+.f64 (.f64 b_2 #s(literal 2 binary64)) (.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))))))
(+ (* 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))))))))
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(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 a c)))
(* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))
(.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 b_2 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)) (/ b_2 c)))))
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(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b_2 c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (+.f64 b_2 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))))) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (-.f64 b_2 (/.f64 (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2))) (.f64 #s(literal -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)))))) c)) c)) (neg.f64 c))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 a c)))
(+ (* 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 a c))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 a c))) (.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 a c))) (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 a c))) (.f64 (.f64 b_2 b_2) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (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 #s(literal -1/2 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(.f64 b_2 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2))))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a c) (.f64 a c))) (pow.f64 b_2 #s(literal 4 binary64)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(.f64 b_2 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2)))) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a c) (.f64 a c))) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a)))) (pow.f64 b_2 #s(literal 6 binary64)))))))
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 c (.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 #s(literal -1/2 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2))))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a c) (.f64 a c))) (pow.f64 b_2 #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2)))) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a c) (.f64 a c))) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a)))) (pow.f64 b_2 #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) b_2))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (/.f64 (.f64 (.f64 a c) #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 b_2) #s(literal -1/2 binary64)) (.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b_2 (*.f64 b_2 b_2))) #s(literal -1/8 binary64)))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(+.f64 b_2 (.f64 a (+.f64 (.f64 (/.f64 c b_2) #s(literal -1/2 binary64)) (.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 a c)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(.f64 a (+.f64 (.f64 (.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))))) #s(literal -1/8 binary64)) (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 a (+.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (/.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))))) #s(literal -1/8 binary64)) (+.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))))) (.f64 #s(literal 1/16 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 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (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 (/.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)))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (/.f64 (.f64 (.f64 a c) #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 #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 a c)))
(* 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))))))
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(.f64 (-.f64 (/.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 #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 a c))))) (neg.f64 a)) b_2) (neg.f64 a)) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 a))
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 a c)) b_2) (*.f64 #s(literal -2 binary64) b_2))
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(+.f64 (.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))))) (.f64 #s(literal -2 binary64) b_2))
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(+.f64 (.f64 c (+.f64 (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2) (.f64 c (+.f64 (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 c (.f64 a (.f64 a a)))) (pow.f64 b_2 #s(literal 5 binary64))) (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 a a) (.f64 b_2 (.f64 b_2 b_2)))))))) (.f64 #s(literal -2 binary64) b_2))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(.f64 c (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 b_2 c)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a 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 #s(literal -1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64)))) (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b_2 #s(literal 4 binary64))) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b_2 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)))))))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 a c)))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (-.f64 (/.f64 b_2 c) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (neg.f64 c))
(* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (-.f64 (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64)))) b_2) (neg.f64 c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (neg.f64 c))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (.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 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)))) (neg.f64 c)) b_2) (neg.f64 c)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (neg.f64 c))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 a c)))
(+ (* 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 a c))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 a c))) (.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 a c))) (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 a c))) (.f64 (.f64 b_2 b_2) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (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 #s(literal -1/2 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(.f64 b_2 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2))))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a c) (.f64 a c))) (pow.f64 b_2 #s(literal 4 binary64)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(.f64 b_2 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2)))) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a c) (.f64 a c))) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a)))) (pow.f64 b_2 #s(literal 6 binary64)))))))
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 c (.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 #s(literal -1/2 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2))))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a c) (.f64 a c))) (pow.f64 b_2 #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2)))) (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a c) (.f64 a c))) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a)))) (pow.f64 b_2 #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) b_2))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (/.f64 (.f64 (.f64 a c) #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 b_2) #s(literal -1/2 binary64)) (.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b_2 (*.f64 b_2 b_2))) #s(literal -1/8 binary64)))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(+.f64 b_2 (.f64 a (+.f64 (.f64 (/.f64 c b_2) #s(literal -1/2 binary64)) (.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 a c)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(.f64 a (+.f64 (.f64 (.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))))) #s(literal -1/8 binary64)) (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 a (+.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (/.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))))) #s(literal -1/8 binary64)) (+.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))))) (.f64 #s(literal 1/16 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 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (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 (/.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)))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+.f64 b_2 (/.f64 (.f64 (.f64 a c) #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 #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 a c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(.f64 c (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 c (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b_2 #s(literal 4 binary64))) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (+.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)))) (+ (* 1/16 (* (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b_2 #s(literal 4 binary64))) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (+.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
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(/.f64 (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 b_2 b_2)) (.f64 c (*.f64 a a))) (/.f64 #s(literal -1 binary64) a)) c)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow b_2 4) (* (pow a 3) c))) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 c (.f64 a (.f64 a a))))) (/.f64 (.f64 b_2 b_2) (*.f64 a a))) c)) (neg.f64 c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow b_2 6) (* (pow a 4) c)) (* -1 (/ (pow b_2 4) (pow a 3)))) c)) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (.f64 c (pow.f64 a #s(literal 4 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 a (.f64 a a)))) (neg.f64 c)) (/.f64 (.f64 b_2 b_2) (*.f64 a a))) c)) (neg.f64 c))

eval285.0ms (2.4%)

Compiler: Compiled 42511 to 4228 computations (90.1% saved)

prune311.0ms (2.6%)

Pruning

41 alts after pruning (38 fresh and 3 done)

	Pruned	Kept	Total
New	1612	30	1642
Fresh	9	8	17
Picked	3	2	5
Done	0	1	1
Total	1624	41	1665

Accuracy

90.9%

Counts

1665 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.1%	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 b_2)) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) a)
	1.0%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b_2 b_2) (.f64 (.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2)))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2))) #s(literal 1 binary64)) b_2))) (+.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 (.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2))) (.f64 (.f64 b_2 b_2) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2))))))))) a)
	12.2%	(/.f64 (-.f64 (/.f64 (.f64 c (/.f64 #s(literal 1/2 binary64) b_2)) (/.f64 b_2 (.f64 c #s(literal 1/2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (/.f64 b_2 a) (/.f64 b_2 a)))) (-.f64 (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)) (/.f64 #s(literal -2 binary64) (/.f64 a b_2))))
	23.4%	(/.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
	51.9%	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))) #s(literal -1/2 binary64))) a)
	41.4%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
	31.2%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2)) (/.f64 (.f64 b_2 b_2) (.f64 (.f64 a c) #s(literal -1/2 binary64))))) b_2)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2))))) a)
▶	51.6%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) #s(literal -1/2 binary64)))) a)
▶	33.0%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b_2))) a)
	21.2%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (/.f64 (/.f64 (.f64 b_2 b_2) a) (.f64 #s(literal -1 binary64) (*.f64 c c))) (/.f64 #s(literal -1 binary64) c)) a)))) a)
	35.8%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 a c))))) a)
	10.1%	(/.f64 (-.f64 (neg.f64 b_2) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 b_2 (/.f64 (.f64 (*.f64 a c) #s(literal -1/2 binary64)) b_2)))) (-.f64 #s(literal 0 binary64) b_2))) a)
	10.1%	(/.f64 (-.f64 (neg.f64 b_2) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)) b_2) a)) (-.f64 #s(literal 0 binary64) b_2))) a)
▶	10.2%	(/.f64 (-.f64 (neg.f64 b_2) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 a b_2)) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)))) (-.f64 #s(literal 0 binary64) b_2))) a)
✓	52.3%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	37.7%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))) a)
	16.3%	(/.f64 (-.f64 a (.f64 (/.f64 a b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (.f64 (/.f64 a b_2) a))
	0.9%	(/.f64 (+.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 (.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2))) (.f64 (.f64 b_2 b_2) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2))))))) (.f64 a (+.f64 (.f64 b_2 b_2) (.f64 (.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2)))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))) #s(literal 1 binary64)) b_2)))))
	28.3%	(/.f64 (.f64 c (/.f64 (.f64 #s(literal -1/2 binary64) a) b_2)) a)
	33.4%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
	2.6%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) a))
	9.9%	(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
▶	10.2%	(/.f64 #s(literal 0 binary64) a)
	51.0%	(/.f64 #s(literal -1 binary64) (/.f64 a (fma.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) #s(literal 1/4 binary64)) b_2)))
	10.1%	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2))))) (-.f64 #s(literal 0 binary64) b_2)))))
✓	52.3%	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
	32.8%	(/.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 (.f64 a #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) c)) (-.f64 #s(literal 0 binary64) b_2)))
	32.9%	(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
	31.3%	(+.f64 (/.f64 (.f64 #s(literal -2 binary64) b_2) a) (.f64 c (+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 a c)) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 #s(literal 1/2 binary64) b_2))))
	32.8%	(+.f64 (/.f64 #s(literal -2 binary64) (/.f64 a b_2)) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)))
	32.8%	(+.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 #s(literal 1 binary64) (/.f64 b_2 (.f64 c #s(literal 1/2 binary64)))))
	14.1%	(+.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (exp.f64 (.f64 (log.f64 (/.f64 b_2 (*.f64 c #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
	2.3%	(+.f64 (.f64 #s(literal -2 binary64) (neg.f64 (/.f64 b_2 a))) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2))
▶	52.3%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
	24.9%	(.f64 (-.f64 (.f64 b_2 a) (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (/.f64 #s(literal 1 binary64) (.f64 a a)))
	32.2%	(.f64 b_2 (+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
	9.7%	(.f64 #s(literal -2 binary64) (/.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a (*.f64 b_2 b_2))))
	2.1%	(.f64 #s(literal -2 binary64) (/.f64 (.f64 b_2 b_2) (neg.f64 (*.f64 a b_2))))
✓	33.0%	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
	2.6%	(.f64 #s(literal -2 binary64) (.f64 b_2 (/.f64 #s(literal -1 binary64) a)))
	2.6%	(*.f64 #s(literal -2 binary64) (neg.f64 (/.f64 b_2 a)))

Compiler

Compiled 1745 to 967 computations (44.6% saved)

simplify176.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) #s(literal -1/2 binary64)))
✓	cost-diff	64	(-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) #s(literal -1/2 binary64))))
✓	cost-diff	64	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) #s(literal -1/2 binary64)))) a)
✓	cost-diff	64	(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 a b_2)) (.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))
✓	cost-diff	192	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 a b_2)) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)))) (-.f64 #s(literal 0 binary64) b_2))
✓	cost-diff	512	(-.f64 (neg.f64 b_2) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 a b_2)) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)))) (-.f64 #s(literal 0 binary64) b_2)))
✓	cost-diff	512	(/.f64 (-.f64 (neg.f64 b_2) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 a b_2)) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)))) (-.f64 #s(literal 0 binary64) b_2))) a)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) b_2)
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b_2))
✓	cost-diff	320	(-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b_2)))
✓	cost-diff	320	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b_2))) a)
✓	cost-diff	128	(/.f64 #s(literal 0 binary64) a)
✓	cost-diff	0	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	cost-diff	0	(+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) a)
✓	cost-diff	0	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))

Rules

2106×	`-lowering-.f32`
2106×	`-lowering-.f64`
2034×	`fma-lowering-fma.f32`
2034×	`fma-lowering-fma.f64`
1676×	`fmm-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	231
1	96	218
2	329	216
3	1487	208
4	6427	208
0	8529	208

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize447.0ms (3.8%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) #s(literal -1/2 binary64)))
✓	accuracy	96.5%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) #s(literal -1/2 binary64)))) a)
✓	accuracy	79.3%	(-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) #s(literal -1/2 binary64))))
✓	accuracy	60.0%	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) #s(literal -1/2 binary64))
✓	accuracy	95.8%	(.f64 (neg.f64 (/.f64 a b_2)) (.f64 c (/.f64 #s(literal 1/2 binary64) b_2)))
✓	accuracy	94.8%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 a b_2)) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)))) (-.f64 #s(literal 0 binary64) b_2))
✓	accuracy	85.9%	(/.f64 (-.f64 (neg.f64 b_2) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 a b_2)) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)))) (-.f64 #s(literal 0 binary64) b_2))) a)
✓	accuracy	62.6%	(-.f64 (neg.f64 b_2) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 a b_2)) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)))) (-.f64 #s(literal 0 binary64) b_2)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) b_2)
✓	accuracy	100.0%	(-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b_2)))
✓	accuracy	100.0%	(neg.f64 b_2)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b_2))
✓	accuracy	100.0%	(/.f64 #s(literal 0 binary64) a)
✓	accuracy	100.0%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	96.4%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
✓	accuracy	79.3%	(+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	accuracy	60.0%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Results

222.0ms	64×	2	valid
95.0ms	79×	1	valid
37.0ms	98×	0	valid
32.0ms	15×	3	valid

Compiler

Compiled 266 to 36 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 211.0ms

backward-pass: 59.0ms (28% of total)

ival-sub: 43.0ms (20.4% of total)

ival-div: 37.0ms (17.6% of total)

ival-mult: 29.0ms (13.8% of total)

ival-pow: 26.0ms (12.3% of total)

ival-neg: 5.0ms (2.4% of total)

ival-sqrt: 5.0ms (2.4% of total)

ival-add: 5.0ms (2.4% of total)

const: 2.0ms (0.9% of total)

series19.0ms (0.2%)

Counts

20 → 564

Calls

Call 1

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

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

Calls

141 calls:

Time	Variable		Point	Expression
2.0ms	b_2	@	inf	(/ (- (neg b_2) (/ 1 (pow (- (* b_2 b_2) (* a c)) -1/2))) a)
0.0ms	b_2	@	0	(pow (- (* b_2 b_2) (* a c)) -1/2)
0.0ms	a	@	0	(/ -1 a)
0.0ms	a	@	inf	(/ -1 a)
0.0ms	b_2	@	0	(- (neg b_2) (/ 1 (/ 1 b_2)))

rewrite265.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1890×	`/-lowering-/.f32`
1890×	`/-lowering-/.f64`
1776×	`-lowering-.f32`
1776×	`-lowering-.f64`
1192×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	157
1	248	145
2	2651	126
0	9639	126

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 1020

Calls

Call 1

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

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

simplify395.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

8538×	`-lowering-.f32`
8538×	`-lowering-.f64`
4440×	`+-lowering-+.f64`
4440×	`+-lowering-+.f32`
1492×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	840	8692
1	2987	8418
0	9147	8418

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

Calls

Call 1

Inputs
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -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)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(* -2 (/ b_2 a))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(* -1/2 (/ c b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 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))))))) b_2))
(* -2 (/ b_2 a))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(/ -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 (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (+ 1 (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))) (* (sqrt (* a c)) (sqrt -1)))
(* 2 b_2)
(* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* 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))
(* -1 (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2))
(* -1 (/ (+ (* -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 (/ (+ (* -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)
(+ (* -1/2 (/ (* a c) b_2)) (* 2 b_2))
(+ (* 2 b_2) (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ (* 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))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ 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 (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* 2 b_2)
(+ (* -1/2 (/ (* a c) b_2)) (* 2 b_2))
(+ (* 2 b_2) (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ (* 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))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ 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 (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* (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)))))))
0
0
0
0
0
0
0
0
0
0
0
0
(* -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)
b_2
b_2
b_2
b_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)
(/ 1 b_2)
(/ 1 b_2)
(/ 1 b_2)
(/ 1 b_2)
(/ 1 b_2)
(/ 1 b_2)
(/ 1 b_2)
(/ 1 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 (/ (+ b_2 (* -1 b_2)) a))
(/ (+ (* -1 (+ b_2 (* -1 b_2))) (* -1/2 (/ (* a c) b_2))) a)
(/ (+ (* -1 (+ b_2 (* -1 b_2))) (* -1/2 (/ (* a c) b_2))) a)
(/ (+ (* -1 (+ b_2 (* -1 b_2))) (* -1/2 (/ (* a c) b_2))) a)
(* -1/2 (/ c b_2))
(+ (* -1 (/ (+ b_2 (* -1 b_2)) a)) (* -1/2 (/ c b_2)))
(+ (* -1 (/ (+ b_2 (* -1 b_2)) a)) (* -1/2 (/ c b_2)))
(+ (* -1 (/ (+ b_2 (* -1 b_2)) a)) (* -1/2 (/ c b_2)))
(* -1/2 (/ c b_2))
(+ (* -1 (/ (+ b_2 (* -1 b_2)) a)) (* -1/2 (/ c b_2)))
(+ (* -1 (/ (+ b_2 (* -1 b_2)) a)) (* -1/2 (/ c b_2)))
(+ (* -1 (/ (+ b_2 (* -1 b_2)) a)) (* -1/2 (/ c b_2)))
(* -1 (/ (+ b_2 (* -1 b_2)) a))
(+ (* -1 (/ (+ b_2 (* -1 b_2)) a)) (* -1/2 (/ c b_2)))
(+ (* -1 (/ (+ b_2 (* -1 b_2)) a)) (* -1/2 (/ c b_2)))
(+ (* -1 (/ (+ b_2 (* -1 b_2)) a)) (* -1/2 (/ c b_2)))
(* -1/2 (/ c b_2))
(* c (- (* -1 (/ (+ (* -1 (/ b_2 a)) (/ b_2 a)) c)) (* 1/2 (/ 1 b_2))))
(* c (- (* -1 (/ (+ (* -1 (/ b_2 a)) (/ b_2 a)) c)) (* 1/2 (/ 1 b_2))))
(* c (- (* -1 (/ (+ (* -1 (/ b_2 a)) (/ b_2 a)) c)) (* 1/2 (/ 1 b_2))))
(* -1/2 (/ c b_2))
(* -1 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (/ 1 b_2)) (/ b_2 (* a c))))))
(* -1 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (/ 1 b_2)) (/ b_2 (* a c))))))
(* -1 (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (/ 1 b_2)) (/ b_2 (* a c))))))
(* -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 (+ b_2 (* -1 b_2)))
(- (* -1/2 (/ (* a c) b_2)) (+ b_2 (* -1 b_2)))
(- (* -1/2 (/ (* a c) b_2)) (+ b_2 (* -1 b_2)))
(- (* -1/2 (/ (* a c) b_2)) (+ b_2 (* -1 b_2)))
(* -1/2 (/ (* a c) b_2))
(* a (- (* -1 (/ (+ b_2 (* -1 b_2)) a)) (* 1/2 (/ c b_2))))
(* a (- (* -1 (/ (+ b_2 (* -1 b_2)) a)) (* 1/2 (/ c b_2))))
(* a (- (* -1 (/ (+ b_2 (* -1 b_2)) a)) (* 1/2 (/ c b_2))))
(* -1/2 (/ (* a c) b_2))
(* -1 (* a (- (+ (* -1 (/ b_2 a)) (/ b_2 a)) (* -1/2 (/ c b_2)))))
(* -1 (* a (- (+ (* -1 (/ b_2 a)) (/ b_2 a)) (* -1/2 (/ c b_2)))))
(* -1 (* a (- (+ (* -1 (/ b_2 a)) (/ b_2 a)) (* -1/2 (/ c b_2)))))
(* -1 (+ b_2 (* -1 b_2)))
(- (* -1/2 (/ (* a c) b_2)) (+ b_2 (* -1 b_2)))
(- (* -1/2 (/ (* a c) b_2)) (+ b_2 (* -1 b_2)))
(- (* -1/2 (/ (* a c) b_2)) (+ b_2 (* -1 b_2)))
(* -1/2 (/ (* a c) b_2))
(* c (- (* -1 (/ (+ b_2 (* -1 b_2)) c)) (* 1/2 (/ a b_2))))
(* c (- (* -1 (/ (+ b_2 (* -1 b_2)) c)) (* 1/2 (/ a b_2))))
(* c (- (* -1 (/ (+ b_2 (* -1 b_2)) c)) (* 1/2 (/ a b_2))))
(* -1/2 (/ (* a c) b_2))
(* -1 (* c (- (+ (* -1 (/ b_2 c)) (/ b_2 c)) (* -1/2 (/ a b_2)))))
(* -1 (* c (- (+ (* -1 (/ b_2 c)) (/ b_2 c)) (* -1/2 (/ a b_2)))))
(* -1 (* c (- (+ (* -1 (/ b_2 c)) (/ b_2 c)) (* -1/2 (/ a b_2)))))
(* -1 b_2)
(+ (* -1 b_2) (* 1/2 (/ (* a c) b_2)))
(+ (* -1 b_2) (* 1/2 (/ (* a c) b_2)))
(+ (* -1 b_2) (* 1/2 (/ (* a c) b_2)))
(* 1/2 (/ (* a c) b_2))
(* a (+ (* -1 (/ b_2 a)) (* 1/2 (/ c b_2))))
(* a (+ (* -1 (/ b_2 a)) (* 1/2 (/ c b_2))))
(* a (+ (* -1 (/ b_2 a)) (* 1/2 (/ c b_2))))
(* 1/2 (/ (* a c) b_2))
(* -1 (* a (+ (* -1/2 (/ c b_2)) (/ b_2 a))))
(* -1 (* a (+ (* -1/2 (/ c b_2)) (/ b_2 a))))
(* -1 (* a (+ (* -1/2 (/ c b_2)) (/ b_2 a))))
(* 1/2 (/ (* a c) b_2))
(/ (+ (* -1 (pow b_2 2)) (* 1/2 (* a c))) b_2)
(/ (+ (* -1 (pow b_2 2)) (* 1/2 (* a c))) b_2)
(/ (+ (* -1 (pow b_2 2)) (* 1/2 (* a c))) b_2)
(* -1 b_2)
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 1))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 1))
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 1))
(* -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 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 b_2)
(+ (* -1 b_2) (* 1/2 (/ (* a c) b_2)))
(+ (* -1 b_2) (* 1/2 (/ (* a c) b_2)))
(+ (* -1 b_2) (* 1/2 (/ (* a c) b_2)))
(* 1/2 (/ (* a c) b_2))
(* c (+ (* -1 (/ b_2 c)) (* 1/2 (/ a b_2))))
(* c (+ (* -1 (/ b_2 c)) (* 1/2 (/ a b_2))))
(* c (+ (* -1 (/ b_2 c)) (* 1/2 (/ a b_2))))
(* 1/2 (/ (* a c) b_2))
(* -1 (* c (+ (* -1/2 (/ a b_2)) (/ b_2 c))))
(* -1 (* c (+ (* -1/2 (/ a b_2)) (/ b_2 c))))
(* -1 (* c (+ (* -1/2 (/ a b_2)) (/ b_2 c))))
1
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* a (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a)))
(* a (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a)))
(* a (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1 (* a (- (* 1/2 (/ c (pow b_2 2))) (/ 1 a))))
(* -1 (* a (- (* 1/2 (/ c (pow b_2 2))) (/ 1 a))))
(* -1 (* a (- (* 1/2 (/ c (pow b_2 2))) (/ 1 a))))
(* -1/2 (/ (* a c) (pow b_2 2)))
(/ (+ (* -1/2 (* a c)) (pow b_2 2)) (pow b_2 2))
(/ (+ (* -1/2 (* a c)) (pow b_2 2)) (pow b_2 2))
(/ (+ (* -1/2 (* a c)) (pow b_2 2)) (pow b_2 2))
1
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
1
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
1
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* c (+ (* -1/2 (/ a (pow b_2 2))) (/ 1 c)))
(* c (+ (* -1/2 (/ a (pow b_2 2))) (/ 1 c)))
(* c (+ (* -1/2 (/ a (pow b_2 2))) (/ 1 c)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1 (* c (- (* 1/2 (/ a (pow b_2 2))) (/ 1 c))))
(* -1 (* c (- (* 1/2 (/ a (pow b_2 2))) (/ 1 c))))
(* -1 (* c (- (* 1/2 (/ a (pow b_2 2))) (/ 1 c))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(* -2 (/ b_2 a))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(* -1/2 (/ c b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 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))))))) b_2))
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -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)))
(* -2 (/ b_2 a))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(* -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)))
(* -2 b_2)
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1/2 (/ (* a c) b_2))
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2))
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(* -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)))))
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(* -1 (* (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)))))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(* (sqrt (/ 1 (* a c))) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (* (pow b_2 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b_2 2) (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (* (pow b_2 2) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b_2 2) (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow c 3)))) (* a (* c (pow (sqrt -1) 2))))) (/ 1 (* (pow a 4) (pow c 4))))) (sqrt -1)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/4 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1) 2))))) (/ 1 (* (pow a 3) (pow c 3)))) (sqrt -1)))))))))
(/ 1 b_2)
(/ (+ 1 (* 1/2 (/ (* a c) (pow b_2 2)))) b_2)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2))))) b_2)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow c 3))) (* -1/2 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2)))))))) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2)))))) b_2)
(/ -1 b_2)
(* -1 (/ (+ 1 (* 1/2 (/ (* a c) (pow b_2 2)))) b_2))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2))))) b_2))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (+ (* -1/2 (/ (+ (* -1 (* (pow a 3) (pow c 3))) (* -1/2 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2)))))))) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2)))))) b_2))
(/ 1 b_2)
(+ (* 1/2 (/ (* a c) (pow b_2 3))) (/ 1 b_2))
(+ (* a (+ (* -1/2 (* a (* b_2 (+ (* -1 (/ (pow c 2) (pow b_2 6))) (* 1/4 (/ (pow c 2) (pow b_2 6))))))) (* 1/2 (/ c (pow b_2 3))))) (/ 1 b_2))
(+ (* a (+ (* 1/2 (/ c (pow b_2 3))) (* a (+ (* -1/2 (* a (* b_2 (+ (* -1 (/ (pow c 3) (pow b_2 8))) (* -1/2 (/ (* c (+ (* -1 (/ (pow c 2) (pow b_2 6))) (* 1/4 (/ (pow c 2) (pow b_2 6))))) (pow b_2 2))))))) (* -1/2 (* b_2 (+ (* -1 (/ (pow c 2) (pow b_2 6))) (* 1/4 (/ (pow c 2) (pow b_2 6)))))))))) (/ 1 b_2))
(* (sqrt (/ 1 (* a c))) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/4 (/ (* a (pow b_2 4)) (* (pow c 3) (pow (sqrt -1) 2)))) (/ (pow b_2 6) (pow c 4))) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* (sqrt (/ 1 (* a c))) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a (pow c 5))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/4 (/ (* a (pow b_2 4)) (pow c 3))) (/ (pow b_2 6) (pow c 4))))))) (pow a 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(/ 1 b_2)
(+ (* 1/2 (/ (* a c) (pow b_2 3))) (/ 1 b_2))
(+ (* c (+ (* -1/2 (* b_2 (* c (+ (* -1 (/ (pow a 2) (pow b_2 6))) (* 1/4 (/ (pow a 2) (pow b_2 6))))))) (* 1/2 (/ a (pow b_2 3))))) (/ 1 b_2))
(+ (* c (+ (* 1/2 (/ a (pow b_2 3))) (* c (+ (* -1/2 (* b_2 (* c (+ (* -1 (/ (pow a 3) (pow b_2 8))) (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 6))) (* 1/4 (/ (pow a 2) (pow b_2 6))))) (pow b_2 2))))))) (* -1/2 (* b_2 (+ (* -1 (/ (pow a 2) (pow b_2 6))) (* 1/4 (/ (pow a 2) (pow b_2 6)))))))))) (/ 1 b_2))
(* (sqrt (/ 1 (* a c))) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (+ (* 1/4 (/ (* (pow b_2 4) c) (* (pow a 3) (pow (sqrt -1) 2)))) (/ (pow b_2 6) (pow a 4))) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* (sqrt (/ 1 (* a c))) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1/4 (/ (* (pow b_2 4) c) (pow a 3))) (/ (pow b_2 6) (pow a 4)))))) (* 1/2 (* (sqrt (/ c (pow a 5))) (* (pow b_2 4) (sqrt -1))))) (pow c 3))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* -1 (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(* -1 (* a c))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* c (- (/ (pow b_2 2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(* -1 (* a c))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))
(* -1/2 (/ (* a c) (pow b_2 2)))

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

eval256.0ms (2.2%)

Compiler: Compiled 45969 to 4265 computations (90.7% saved)

prune223.0ms (1.9%)

Pruning

44 alts after pruning (40 fresh and 4 done)

	Pruned	Kept	Total
New	1799	10	1809
Fresh	3	30	33
Picked	4	1	5
Done	0	3	3
Total	1806	44	1850

Accuracy

90.9%

Counts

1850 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.1%	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 b_2)) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) a)
	1.0%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b_2 b_2) (.f64 (.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2)))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2))) #s(literal 1 binary64)) b_2))) (+.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 (.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2))) (.f64 (.f64 b_2 b_2) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2))))))))) a)
	12.2%	(/.f64 (-.f64 (/.f64 (.f64 c (/.f64 #s(literal 1/2 binary64) b_2)) (/.f64 b_2 (.f64 c #s(literal 1/2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (/.f64 b_2 a) (/.f64 b_2 a)))) (-.f64 (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)) (/.f64 #s(literal -2 binary64) (/.f64 a b_2))))
	25.2%	(/.f64 (-.f64 (.f64 (.f64 b_2 b_2) (/.f64 #s(literal -1 binary64) b_2)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b_2))) a)
	23.4%	(/.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
▶	51.9%	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))) #s(literal -1/2 binary64))) a)
	31.2%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2)) (/.f64 (.f64 b_2 b_2) (.f64 (.f64 a c) #s(literal -1/2 binary64))))) b_2)) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2))))) a)
	37.7%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) #s(literal -1/2 binary64)))) a)
✓	33.0%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b_2))) a)
	21.2%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (/.f64 (/.f64 (.f64 b_2 b_2) a) (.f64 #s(literal -1 binary64) (*.f64 c c))) (/.f64 #s(literal -1 binary64) c)) a)))) a)
	35.8%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 a c))))) a)
	10.1%	(/.f64 (-.f64 (neg.f64 b_2) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)) b_2) a)) (-.f64 #s(literal 0 binary64) b_2))) a)
▶	10.1%	(/.f64 (-.f64 (neg.f64 b_2) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 a c) b_2) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) b_2))) (-.f64 #s(literal 0 binary64) b_2))) a)
✓	52.3%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	37.7%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))) a)
	30.4%	(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 b_2))) a)
	2.2%	(/.f64 (-.f64 b_2 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (/.f64 a b_2)) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)))) (-.f64 #s(literal 0 binary64) b_2))) a)
	16.3%	(/.f64 (-.f64 a (.f64 (/.f64 a b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (.f64 (/.f64 a b_2) a))
	0.9%	(/.f64 (+.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 (.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2))) (.f64 (.f64 b_2 b_2) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2))))))) (.f64 a (+.f64 (.f64 b_2 b_2) (.f64 (.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2)))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (*.f64 b_2 b_2))) #s(literal 1 binary64)) b_2)))))
	28.3%	(/.f64 (.f64 c (/.f64 (.f64 #s(literal -1/2 binary64) a) b_2)) a)
	33.4%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
	2.6%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) a))
	9.9%	(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
	10.1%	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2))))) (-.f64 #s(literal 0 binary64) b_2)))))
✓	52.3%	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
	32.8%	(/.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 (.f64 a #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) c)) (-.f64 #s(literal 0 binary64) b_2)))
	32.9%	(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
	31.3%	(+.f64 (/.f64 (.f64 #s(literal -2 binary64) b_2) a) (.f64 c (+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 a c)) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 #s(literal 1/2 binary64) b_2))))
▶	32.8%	(+.f64 (/.f64 #s(literal -2 binary64) (/.f64 a b_2)) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)))
	32.8%	(+.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 #s(literal 1 binary64) (/.f64 b_2 (.f64 c #s(literal 1/2 binary64)))))
	14.1%	(+.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (exp.f64 (.f64 (log.f64 (/.f64 b_2 (*.f64 c #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
	2.3%	(+.f64 (.f64 #s(literal -2 binary64) (neg.f64 (/.f64 b_2 a))) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2))
	51.0%	(.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) b_2))
	27.3%	(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (.f64 a (*.f64 #s(literal 1/2 binary64) c)) b_2))
	37.7%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c)))))
	36.8%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (.f64 b_2 (.f64 b_2 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (*.f64 b_2 b_2)))))))))
▶	24.9%	(.f64 (-.f64 (.f64 b_2 a) (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (/.f64 #s(literal 1 binary64) (.f64 a a)))
	32.2%	(.f64 b_2 (+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
	9.7%	(.f64 #s(literal -2 binary64) (/.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a (*.f64 b_2 b_2))))
	2.1%	(.f64 #s(literal -2 binary64) (/.f64 (.f64 b_2 b_2) (neg.f64 (*.f64 a b_2))))
✓	33.0%	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
	2.6%	(.f64 #s(literal -2 binary64) (.f64 b_2 (/.f64 #s(literal -1 binary64) a)))
	2.6%	(*.f64 #s(literal -2 binary64) (neg.f64 (/.f64 b_2 a)))
▶	10.2%	#s(literal 0 binary64)

Compiler

Compiled 1802 to 1024 computations (43.2% saved)

simplify131.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))
✓	cost-diff	0	(*.f64 b_2 a)
✓	cost-diff	128	(-.f64 (.f64 b_2 a) (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
✓	cost-diff	512	(.f64 (-.f64 (.f64 b_2 a) (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (/.f64 #s(literal 1 binary64) (.f64 a a)))
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (*.f64 a c) b_2) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) b_2)))
✓	cost-diff	512	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 a c) b_2) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) b_2))) (-.f64 #s(literal 0 binary64) b_2))
✓	cost-diff	832	(-.f64 (neg.f64 b_2) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 a c) b_2) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) b_2))) (-.f64 #s(literal 0 binary64) b_2)))
✓	cost-diff	832	(/.f64 (-.f64 (neg.f64 b_2) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 a c) b_2) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) b_2))) (-.f64 #s(literal 0 binary64) b_2))) a)
✓	cost-diff	0	(*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))
✓	cost-diff	0	(/.f64 a b_2)
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal -2 binary64) (/.f64 a b_2)) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)))
✓	cost-diff	0	(*.f64 b_2 b_2)
✓	cost-diff	0	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	cost-diff	0	(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))) #s(literal -1/2 binary64))

Rules

2668×	`-lowering-.f32`
2668×	`-lowering-.f64`
1232×	`sum5-define`
1020×	`sum4-define`
1006×	`sum3-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	274
1	96	254
2	267	251
3	1012	241
4	5679	230
0	8606	230

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize317.0ms (2.7%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 a a))
✓	accuracy	88.3%	(-.f64 (.f64 b_2 a) (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
✓	accuracy	60.0%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	accuracy	50.7%	(.f64 (-.f64 (.f64 b_2 a) (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (/.f64 #s(literal 1 binary64) (.f64 a a)))
✓	accuracy	94.8%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 a c) b_2) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) b_2))) (-.f64 #s(literal 0 binary64) b_2))
✓	accuracy	94.0%	(/.f64 (*.f64 a c) b_2)
✓	accuracy	85.9%	(/.f64 (-.f64 (neg.f64 b_2) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 a c) b_2) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) b_2))) (-.f64 #s(literal 0 binary64) b_2))) a)
✓	accuracy	62.6%	(-.f64 (neg.f64 b_2) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 a c) b_2) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) b_2))) (-.f64 #s(literal 0 binary64) b_2)))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) b_2)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal -2 binary64) (/.f64 a b_2)) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)))
✓	accuracy	99.8%	(*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))
✓	accuracy	98.7%	(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
✓	accuracy	98.1%	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	accuracy	96.5%	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))) #s(literal -1/2 binary64))) a)
✓	accuracy	79.3%	(-.f64 (neg.f64 b_2) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))) #s(literal -1/2 binary64)))
✓	accuracy	62.3%	(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))) #s(literal -1/2 binary64))

Results

129.0ms	92×	2	valid
54.0ms	26×	3	valid
38.0ms	98×	0	valid
34.0ms	40×	1	valid

Compiler

Compiled 300 to 39 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 161.0ms

ival-mult: 38.0ms (23.6% of total)

ival-pow: 34.0ms (21.1% of total)

ival-div: 33.0ms (20.5% of total)

backward-pass: 23.0ms (14.3% of total)

ival-sub: 16.0ms (9.9% of total)

ival-add: 7.0ms (4.3% of total)

ival-sqrt: 5.0ms (3.1% of total)

ival-neg: 4.0ms (2.5% of total)

const: 2.0ms (1.2% of total)

series40.0ms (0.3%)

Counts

22 → 672

Calls

Call 1

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

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

Calls

168 calls:

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

rewrite280.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2640×	`fma-lowering-fma.f32`
2640×	`fma-lowering-fma.f64`
2464×	`-lowering-.f32`
2464×	`-lowering-.f64`
1946×	`prod-diff`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	207
1	253	182
2	2399	168
0	9076	168

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 801

Calls

Call 1

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

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

simplify355.0ms (3%)

Algorithm

1×	egg-herbie

Rules

5948×	`-lowering-.f32`
5948×	`-lowering-.f64`
4038×	`+-lowering-+.f64`
4038×	`+-lowering-+.f32`
1350×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1082	9935
1	3904	9637
0	8507	9637

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 672

Calls

Call 1

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

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

eval296.0ms (2.5%)

Compiler: Compiled 44734 to 4365 computations (90.2% saved)

prune211.0ms (1.8%)

Pruning

48 alts after pruning (41 fresh and 7 done)

	Pruned	Kept	Total
New	1617	15	1632
Fresh	9	26	35
Picked	2	3	5
Done	0	4	4
Total	1628	48	1676

Accuracy

90.9%

Counts

1676 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.1%	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 b_2)) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) a)
	24.4%	(/.f64 (/.f64 (neg.f64 (.f64 (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (/.f64 b_2 a) c))) #s(literal 1 binary64)) b_2) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (/.f64 b_2 a) c))) #s(literal 1 binary64)) b_2))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (/.f64 b_2 a) c))) #s(literal 1 binary64)) b_2)) a)
	12.2%	(/.f64 (-.f64 (/.f64 (.f64 c (/.f64 #s(literal 1/2 binary64) b_2)) (/.f64 b_2 (.f64 c #s(literal 1/2 binary64)))) (.f64 #s(literal 4 binary64) (.f64 (/.f64 b_2 a) (/.f64 b_2 a)))) (-.f64 (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)) (/.f64 #s(literal -2 binary64) (/.f64 a b_2))))
	12.1%	(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (/.f64 a b_2) (/.f64 a b_2))) (.f64 (/.f64 #s(literal -1/2 binary64) b_2) (.f64 c (.f64 c (/.f64 #s(literal -1/2 binary64) b_2))))) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (.f64 c (/.f64 #s(literal -1/2 binary64) b_2))))
	25.2%	(/.f64 (-.f64 (.f64 (.f64 b_2 b_2) (/.f64 #s(literal -1 binary64) b_2)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b_2))) a)
	23.4%	(/.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
	38.0%	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (/.f64 (+.f64 (/.f64 (.f64 b_2 b_2) (.f64 c (*.f64 a a))) (/.f64 #s(literal 1 binary64) a)) (-.f64 #s(literal 0 binary64) c)) #s(literal -1/2 binary64))) a)
	37.8%	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 a c)) #s(literal -1/2 binary64))) a)
	24.6%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (/.f64 b_2 a) c))) (.f64 b_2 b_2)) b_2)) a)
	11.2%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 a (/.f64 c b_2)) (.f64 a (/.f64 c b_2))) (.f64 a (/.f64 c b_2))) #s(literal -1/8 binary64)) (.f64 b_2 (.f64 b_2 b_2)))) (.f64 b_2 (.f64 b_2 b_2))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (/.f64 b_2 a) c)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (/.f64 b_2 a) c)) #s(literal 1 binary64)))) (.f64 b_2 b_2)))) a)
	3.5%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (/.f64 b_2 a) c)))) (.f64 b_2 b_2)) b_2)) a)
	37.7%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)) #s(literal -1/2 binary64)))) a)
✓	33.0%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b_2))) a)
	21.2%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (/.f64 (/.f64 (.f64 b_2 b_2) a) (.f64 #s(literal -1 binary64) (*.f64 c c))) (/.f64 #s(literal -1 binary64) c)) a)))) a)
	35.8%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 a c))))) a)
✓	10.1%	(/.f64 (-.f64 (neg.f64 b_2) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 (.f64 a c) b_2) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) b_2))) (-.f64 #s(literal 0 binary64) b_2))) a)
✓	52.3%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	37.7%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))) a)
	30.4%	(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 b_2))) a)
	16.3%	(/.f64 (-.f64 a (.f64 (/.f64 a b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (.f64 (/.f64 a b_2) a))
	2.2%	(/.f64 (+.f64 (*.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (/.f64 b_2 a) c)))) b_2) a)
	34.2%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) a)
	1.6%	(/.f64 (.f64 (.f64 (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (/.f64 b_2 a) c))) #s(literal 1 binary64)) b_2) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (/.f64 b_2 a) c))) #s(literal 1 binary64)) b_2)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (/.f64 b_2 a) c))) #s(literal 1 binary64)) b_2))) a)
	28.3%	(/.f64 (.f64 c (/.f64 (.f64 #s(literal -1/2 binary64) a) b_2)) a)
	9.9%	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
	33.4%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
	2.6%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) a))
	2.2%	(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (/.f64 b_2 a) c))) #s(literal 1 binary64)) b_2)))
✓	52.3%	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
	32.8%	(/.f64 #s(literal -1 binary64) (.f64 (+.f64 (/.f64 (.f64 a #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) c)) (-.f64 #s(literal 0 binary64) b_2)))
	32.9%	(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
	31.3%	(+.f64 (/.f64 (.f64 #s(literal -2 binary64) b_2) a) (.f64 c (+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 a c)) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 #s(literal 1/2 binary64) b_2))))
	2.3%	(+.f64 (/.f64 #s(literal 2 binary64) (/.f64 a b_2)) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)))
	32.8%	(+.f64 (/.f64 #s(literal -2 binary64) (/.f64 a b_2)) (/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 c #s(literal 1/2 binary64)))))
✓	32.8%	(+.f64 (/.f64 #s(literal -2 binary64) (/.f64 a b_2)) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)))
	14.1%	(+.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (exp.f64 (.f64 (log.f64 (/.f64 b_2 (*.f64 c #s(literal 1/2 binary64)))) #s(literal -1 binary64))))
	5.3%	(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c (.f64 a a))) b_2) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
	51.0%	(.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)) #s(literal 1/4 binary64)) b_2))
	27.3%	(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (.f64 a (*.f64 #s(literal 1/2 binary64) c)) b_2))
	37.7%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c)))))
	36.8%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (.f64 b_2 (.f64 b_2 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (*.f64 b_2 b_2)))))))))
	32.2%	(.f64 b_2 (+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))
	9.7%	(.f64 #s(literal -2 binary64) (/.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a (*.f64 b_2 b_2))))
	2.1%	(.f64 #s(literal -2 binary64) (/.f64 (.f64 b_2 b_2) (neg.f64 (*.f64 a b_2))))
✓	33.0%	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
	2.6%	(.f64 #s(literal -2 binary64) (.f64 b_2 (/.f64 #s(literal -1 binary64) a)))
	2.6%	(*.f64 #s(literal -2 binary64) (neg.f64 (/.f64 b_2 a)))
✓	10.2%	#s(literal 0 binary64)

Compiler

Compiled 2472 to 925 computations (62.6% saved)

regimes101.0ms (0.9%)

Counts

78 → 3

Calls

Call 1

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

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

Calls

4 calls:

30.0ms	b_2
22.0ms	c
21.0ms	a
18.0ms	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
52.3%	1	`a`
84.1%	3	`b_2`
52.3%	1	`c`
75.2%	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)

regimes58.0ms (0.5%)

Counts

56 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

50.0ms

b_2

Results

Accuracy	Segments	Branch
79.4%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes24.0ms (0.2%)

Counts

55 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

16.0ms

b_2

Results

Accuracy	Segments	Branch
79.4%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes18.0ms (0.2%)

Counts

53 → 2

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

b_2

Results

Accuracy	Segments	Branch
64.1%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

b_2

Results

Accuracy	Segments	Branch
64.0%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	a
3.0ms	c
2.0ms	b_2

Results

Accuracy	Segments	Branch
33.0%	1	`a`
33.0%	1	`c`
40.4%	2	`b_2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 #s(literal 0 binary64) a)

Outputs
#s(literal 0 binary64)

Calls

3 calls:

3.0ms	b_2
1.0ms	a
1.0ms	c

Results

Accuracy	Segments	Branch
10.2%	1	`a`
10.2%	1	`c`
10.2%	1	`b_2`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch22.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	1.406451710391087e+115	2.195937414781432e+120
18.0ms	-7.431133010848076e-148	-2.6288508422321997e-149

Results

9.0ms	114×	0	valid
3.0ms	41×	0	invalid
2.0ms	13×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 230 to 159 computations (30.9% saved)

Precisions

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

ival-mult: 3.0ms (34.5% of total)

ival-sub: 2.0ms (23% of total)

ival-div: 1.0ms (11.5% of total)

ival-neg: 1.0ms (11.5% of total)

ival-sqrt: 1.0ms (11.5% of total)

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

const: 0.0ms (0% of total)

bsearch42.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.3369860326038143e-100	2.8508693929957718e-95
18.0ms	-7.431133010848076e-148	-2.6288508422321997e-149

Results

19.0ms	230×	0	valid
4.0ms	54×	0	invalid
4.0ms	22×	1	valid
1.0ms	4×	2	valid

Compiler

Compiled 476 to 355 computations (25.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 5.0ms (31.4% of total)

ival-sub: 3.0ms (18.9% of total)

ival-sqrt: 3.0ms (18.9% of total)

ival-div: 2.0ms (12.6% of total)

ival-neg: 2.0ms (12.6% of total)

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

const: 0.0ms (0% of total)

bsearch43.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.3369860326038143e-100	2.8508693929957718e-95
19.0ms	-7.431133010848076e-148	-2.6288508422321997e-149

Results

19.0ms	232×	0	valid
5.0ms	71×	0	invalid
3.0ms	19×	1	valid
1.0ms	5×	2	valid

Compiler

Compiled 460 to 339 computations (26.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 5.0ms (27.2% of total)

ival-sub: 4.0ms (21.7% of total)

ival-sqrt: 4.0ms (21.7% of total)

ival-div: 3.0ms (16.3% of total)

ival-neg: 2.0ms (10.9% of total)

backward-pass: 1.0ms (5.4% of total)

const: 0.0ms (0% of total)

bsearch27.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	-1.7287854971304132e-305	6.202872438671962e-295

Results

12.0ms	160×	0	valid
5.0ms	63×	0	invalid

Compiler

Compiled 262 to 195 computations (25.6% saved)

Precisions

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

ival-mult: 3.0ms (29.7% of total)

ival-sub: 2.0ms (19.8% of total)

ival-div: 2.0ms (19.8% of total)

ival-sqrt: 2.0ms (19.8% of total)

ival-neg: 1.0ms (9.9% of total)

const: 0.0ms (0% of total)

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

bsearch29.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	-4.0679206863207126e-284	-2.205318271917081e-295

Results

12.0ms	157×	0	valid
7.0ms	75×	0	invalid
0.0ms	3×	1	valid

Compiler

Compiled 202 to 155 computations (23.3% saved)

Precisions

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

ival-mult: 4.0ms (36.9% of total)

ival-div: 2.0ms (18.4% of total)

ival-sub: 2.0ms (18.4% of total)

ival-sqrt: 2.0ms (18.4% of total)

ival-neg: 1.0ms (9.2% of total)

const: 0.0ms (0% of total)

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

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-3.2808272769276457e-283	-4.0679206863207126e-284

Results

7.0ms	96×	0	valid
3.0ms	42×	0	invalid

Compiler

Compiled 106 to 87 computations (17.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 2.0ms (31.8% of total)

ival-sub: 1.0ms (15.9% of total)

ival-div: 1.0ms (15.9% of total)

ival-sqrt: 1.0ms (15.9% of total)

ival-neg: 1.0ms (15.9% of total)

const: 0.0ms (0% of total)

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

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

42×	`+-commutative_binary64`
34×	`*-commutative_binary64`
34×	`sub-neg_binary64`
26×	`neg-mul-1_binary64`
24×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	146
1	74	146
2	102	146
3	135	146
4	156	146
5	166	146
6	169	146

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -2591374345656881/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 20000000000000000311188322589336860485364027938421228667395411608616675623295114065299707798300948953524125617356800 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))))
(if (<=.f64 b_2 #s(literal -2591374345656881/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 211368832449645/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 a c)) #s(literal -1/2 binary64))) a) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -2591374345656881/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 8898158137613499/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c)))) a) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -2588678114201735/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
(if (<=.f64 b_2 #s(literal -6864352014787025/167423219872854268898191413915625282900219501828989626163085998182867351738271269139562246689952477832436667643367679191435491450889424069312259024604665231311477621481628609147204290704099549091843034096141351171618467832303105743111961624157454108040174944963852221369694216119572256044331338563584 binary64)) #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
#s(literal 0 binary64)

Outputs
(if (<=.f64 b_2 #s(literal -2591374345656881/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 20000000000000000311188322589336860485364027938421228667395411608616675623295114065299707798300948953524125617356800 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))))
(if (<=.f64 b_2 #s(literal -2591374345656881/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 20000000000000000311188322589336860485364027938421228667395411608616675623295114065299707798300948953524125617356800 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))))
(if (<=.f64 b_2 #s(literal -2591374345656881/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 211368832449645/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 a c)) #s(literal -1/2 binary64))) a) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -2591374345656881/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 211368832449645/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 b_2 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 c a)) #s(literal -1/2 binary64))) a)) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -2591374345656881/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 8898158137613499/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c)))) a) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -2591374345656881/3599131035634557106248430806148785487095757694641533306480604458089470064537190296255232548883112685719936728506816716098566612844395439751206812144692131084107776 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 8898158137613499/2404907604760405225358828131112281116032698930082119547604265954848982041717359046106827774346003151904701415424 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 c a)))) a) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -2588678114201735/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
(if (<=.f64 b_2 #s(literal -6864352014787025/167423219872854268898191413915625282900219501828989626163085998182867351738271269139562246689952477832436667643367679191435491450889424069312259024604665231311477621481628609147204290704099549091843034096141351171618467832303105743111961624157454108040174944963852221369694216119572256044331338563584 binary64)) #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
#s(literal 0 binary64)

soundness1.7s (14.7%)

Rules

6078×	`-lowering-.f32`
6078×	`-lowering-.f64`
5948×	`-lowering-.f32`
5948×	`-lowering-.f64`
5216×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1216	10727
1	4349	10359
0	8669	10359
0	35	180
1	232	171
2	2469	164
0	9480	164
0	528	3005
1	1844	2933
2	6552	2905
0	8052	2905
0	35	157
1	248	145
2	2651	126
0	9639	126
0	1082	9935
1	3904	9637
0	8507	9637
0	10	41
1	70	41
2	555	39
0	8588	39

Stop Event

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

Compiler

Compiled 393 to 229 computations (41.7% saved)

preprocess398.0ms (3.4%)

Compiler: Compiled 522 to 180 computations (65.5% saved)

analyze172.0ms (1.5%)

sample2.0s (17%)

preprocess122.0ms (1%)

explain182.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify66.0ms (0.6%)

localize63.0ms (0.5%)

series23.0ms (0.2%)

rewrite285.0ms (2.4%)

simplify326.0ms (2.8%)

eval75.0ms (0.6%)

prune103.0ms (0.9%)

simplify225.0ms (1.9%)

localize693.0ms (5.9%)

series66.0ms (0.6%)

rewrite358.0ms (3%)

simplify441.0ms (3.8%)

eval285.0ms (2.4%)

prune311.0ms (2.6%)

simplify176.0ms (1.5%)

localize447.0ms (3.8%)

series19.0ms (0.2%)

rewrite265.0ms (2.3%)

simplify395.0ms (3.4%)

eval256.0ms (2.2%)

prune223.0ms (1.9%)

simplify131.0ms (1.1%)

localize317.0ms (2.7%)

series40.0ms (0.3%)

rewrite280.0ms (2.4%)

simplify355.0ms (3%)

eval296.0ms (2.5%)

prune211.0ms (1.8%)

regimes101.0ms (0.9%)

regimes58.0ms (0.5%)

regimes24.0ms (0.2%)

regimes18.0ms (0.2%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch22.0ms (0.2%)

bsearch42.0ms (0.4%)

bsearch43.0ms (0.4%)

bsearch27.0ms (0.2%)

bsearch29.0ms (0.2%)

bsearch16.0ms (0.1%)

simplify15.0ms (0.1%)

soundness1.7s (14.7%)

preprocess398.0ms (3.4%)

end0.0ms (0%)

Profiling