Metrics for quad2m (problem 3.2.1, negative)

analyze383.0ms (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: 192.0ms

ival-sub: 80.0ms (41.7% of total)

ival-mult: 45.0ms (23.4% of total)

ival-sqrt: 29.0ms (15.1% of total)

ival-div: 20.0ms (10.4% of total)

ival-neg: 15.0ms (7.8% of total)

const: 2.0ms (1% of total)

backward-pass: 1.0ms (0.5% of total)

sample3.3s (13.3%)

Results

1.0s	1884×	2	valid
1.0s	5537×	0	valid
291.0ms	835×	1	valid
195.0ms	1094×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-mult: 551.0ms (31.5% of total)

ival-sub: 350.0ms (20% of total)

ival-div: 288.0ms (16.5% of total)

ival-sqrt: 266.0ms (15.2% of total)

ival-neg: 173.0ms (9.9% of total)

backward-pass: 109.0ms (6.2% of total)

const: 13.0ms (0.7% of total)

Bogosity

preprocess279.0ms (1.1%)

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)

explain321.0ms (1.3%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
100	-	1	(-1.3050475422182474e-211 4.1450859988735356e-160 2.485836660065525e-99)	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
54	-	0	-	`(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
12	-	1	(-7.516993847818031e-21 -30942608.046943985 1.3662767350403578e-288)	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
5	-	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

103.0ms	116×	2	valid
95.0ms	354×	0	valid
21.0ms	42×	1	valid

Compiler

Compiled 124 to 32 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-mult: 29.0ms (28.6% of total)

ival-div: 19.0ms (18.7% of total)

ival-sub: 19.0ms (18.7% of total)

ival-sqrt: 14.0ms (13.8% of total)

backward-pass: 10.0ms (9.9% of total)

ival-neg: 9.0ms (8.9% of total)

const: 1.0ms (1% of total)

eval1.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.2%	(/.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)

simplify149.0ms (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

localize167.0ms (0.7%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.4%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	96.3%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	accuracy	80.3%	(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	accuracy	63.9%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Results

73.0ms	177×	0	valid
49.0ms	58×	2	valid
11.0ms	21×	1	valid

Compiler

Compiled 54 to 11 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 14.0ms (29.7% of total)

ival-sub: 9.0ms (19.1% of total)

ival-sqrt: 7.0ms (14.8% of total)

ival-div: 7.0ms (14.8% of total)

backward-pass: 5.0ms (10.6% of total)

ival-neg: 4.0ms (8.5% of total)

const: 0.0ms (0% of total)

series55.0ms (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
4.0ms	c	@	-inf	(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
3.0ms	a	@	0	(- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
3.0ms	a	@	-inf	(sqrt (- (* b_2 b_2) (* a c)))
3.0ms	c	@	inf	(sqrt (- (* b_2 b_2) (* a c)))
3.0ms	a	@	inf	(sqrt (- (* b_2 b_2) (* a c)))

rewrite626.0ms (2.5%)

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)))))

simplify737.0ms (3%)

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)))

eval324.0ms (1.3%)

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

prune250.0ms (1%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	575	23	598
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	575	24	599

Accuracy

91.5%

Counts

599 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.8%	(/.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)
	29.4%	(/.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)))))
	25.8%	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
	36.5%	(/.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))))))
	38.3%	(/.f64 (-.f64 (.f64 b_2 a) (.f64 (-.f64 #s(literal 0 binary64) a) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (*.f64 (-.f64 #s(literal 0 binary64) a) a))
	25.5%	(/.f64 (-.f64 (.f64 b_2 a) (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (*.f64 a a))
	48.2%	(/.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)
	30.5%	(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2))) a)
▶	25.1%	(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 c (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) c) (.f64 b_2 (*.f64 b_2 b_2))))))) a)
	11.1%	(/.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)
	54.8%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) a)
✓	55.2%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	38.1%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))) a)
	17.9%	(/.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))
	32.6%	(/.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))
▶	30.5%	(/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 (.f64 (*.f64 a c) #s(literal 1/2 binary64)) b_2)) a)
	32.9%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
▶	31.8%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
	55.1%	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
▶	36.5%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) (-.f64 #s(literal 0 binary64) a)))
	31.8%	(+.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2))
	28.2%	(+.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))))))
▶	55.1%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
	31.5%	(.f64 b_2 (+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) a)))

Compiler

Compiled 912 to 558 computations (38.8% saved)

simplify1.2s (5%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	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) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
✓	cost-diff	256	(.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))
✓	cost-diff	384	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) (-.f64 #s(literal 0 binary64) a)))
✓	cost-diff	256	(.f64 c (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) c) (.f64 b_2 (*.f64 b_2 b_2)))))
✓	cost-diff	256	(+.f64 b_2 (.f64 c (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) c) (.f64 b_2 (*.f64 b_2 b_2))))))
✓	cost-diff	320	(-.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 c (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) c) (.f64 b_2 (*.f64 b_2 b_2)))))))
✓	cost-diff	320	(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 c (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) c) (.f64 b_2 (*.f64 b_2 b_2))))))) a)
✓	cost-diff	0	(/.f64 (.f64 (.f64 a c) #s(literal 1/2 binary64)) b_2)
✓	cost-diff	0	(*.f64 b_2 #s(literal -2 binary64))
✓	cost-diff	0	(+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 (.f64 (*.f64 a c) #s(literal 1/2 binary64)) b_2))
✓	cost-diff	0	(/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 (.f64 (*.f64 a c) #s(literal 1/2 binary64)) b_2)) a)
✓	cost-diff	0	(*.f64 b_2 #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
✓	cost-diff	0	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	cost-diff	0	(+.f64 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

3504×	`-lowering-.f32`
3504×	`-lowering-.f64`
1316×	`/-lowering-/.f32`
1316×	`/-lowering-/.f64`
1176×	`fnmsub-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	332
1	117	321
2	341	320
3	1109	311
4	5026	310
0	8345	310

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

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

localize881.0ms (3.6%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.4%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	96.8%	(.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))
✓	accuracy	79.2%	(-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	accuracy	63.9%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	accuracy	91.9%	(.f64 c (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) c) (.f64 b_2 (*.f64 b_2 b_2)))))
✓	accuracy	88.2%	(+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) c) (.f64 b_2 (.f64 b_2 b_2))))
✓	accuracy	87.6%	(.f64 (.f64 #s(literal -1/8 binary64) (*.f64 a a)) c)
✓	accuracy	80.2%	(/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) c) (.f64 b_2 (*.f64 b_2 b_2)))
✓	accuracy	100.0%	(+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 (.f64 (*.f64 a c) #s(literal 1/2 binary64)) b_2))
✓	accuracy	100.0%	(.f64 (.f64 a c) #s(literal 1/2 binary64))
✓	accuracy	94.8%	(/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 (.f64 (*.f64 a c) #s(literal 1/2 binary64)) b_2)) a)
✓	accuracy	91.5%	(/.f64 (.f64 (.f64 a c) #s(literal 1/2 binary64)) b_2)
✓	accuracy	100.0%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
✓	accuracy	100.0%	(*.f64 b_2 #s(literal -2 binary64))
✓	accuracy	98.4%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	96.1%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
✓	accuracy	80.3%	(+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	accuracy	63.9%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Results

419.0ms	107×	2	valid
155.0ms	45×	1	valid
128.0ms	104×	0	valid

Compiler

Compiled 368 to 42 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 369.0ms

ival-mult: 126.0ms (34.1% of total)

ival-div: 78.0ms (21.1% of total)

ival-sub: 73.0ms (19.8% of total)

backward-pass: 50.0ms (13.5% of total)

ival-add: 25.0ms (6.8% of total)

ival-sqrt: 10.0ms (2.7% of total)

const: 4.0ms (1.1% of total)

ival-neg: 4.0ms (1.1% of total)

series254.0ms (1%)

Counts

22 → 708

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

Calls

177 calls:

Time	Variable		Point	Expression
15.0ms	a	@	0	(* c (+ (/ (* a -1/2) b_2) (/ (* (* -1/8 (* a a)) c) (* b_2 (* b_2 b_2)))))
14.0ms	b_2	@	inf	(* (/ 1 (- b_2 (sqrt (- (* b_2 b_2) (* a c))))) (- 0 a))
7.0ms	a	@	inf	(/ (* b_2 -2) a)
6.0ms	a	@	0	(* (/ 1 (- b_2 (sqrt (- (* b_2 b_2) (* a c))))) (- 0 a))
4.0ms	c	@	inf	(* (/ 1 (- b_2 (sqrt (- (* b_2 b_2) (* a c))))) (- 0 a))

rewrite843.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3116×	`-lowering-.f32`
3116×	`-lowering-.f64`
2224×	`/-lowering-/.f32`
2224×	`/-lowering-/.f64`
2006×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	252
1	269	239
2	2901	239
0	8303	239

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 680

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

Outputs
(+.f64 (/.f64 (-.f64 #s(literal 0 binary64) b_2) a) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (-.f64 #s(literal 0 binary64) a)))
(+.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (-.f64 #s(literal 0 binary64) a)) (/.f64 (-.f64 #s(literal 0 binary64) b_2) a))
(fma.f64 #s(literal -1 binary64) (/.f64 b_2 a) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) (/.f64 (-.f64 #s(literal 0 binary64) b_2) a))
(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) a) b_2) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (/.f64 #s(literal -1 binary64) a) b_2 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 (-.f64 #s(literal 0 binary64) b_2) a))
(fma.f64 b_2 (/.f64 #s(literal -1 binary64) a) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (-.f64 #s(literal 0 binary64) a)))
(fma.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 #s(literal 0 binary64) b_2) a))
(fma.f64 (-.f64 #s(literal 0 binary64) b_2) (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (-.f64 #s(literal 0 binary64) 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 (-.f64 #s(literal 0 binary64) b_2) a))
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (/.f64 a #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))
(/.f64 (neg.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 (.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 #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 (.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 (-.f64 #s(literal 0 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 #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 (/.f64 a #s(literal -1 binary64)) (-.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)))))))
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(-.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) b_2) a) (/.f64 (.f64 c (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (.f64 b_2 b_2))) b_2)) a))
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(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) a) b_2) (neg.f64 (/.f64 (+.f64 b_2 (.f64 c (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (*.f64 b_2 b_2))) b_2))) a)))
(fma.f64 (/.f64 #s(literal -1 binary64) a) b_2 (neg.f64 (/.f64 (+.f64 b_2 (.f64 c (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (.f64 b_2 b_2))) b_2))) a)))
(fma.f64 b_2 (/.f64 #s(literal -1 binary64) a) (neg.f64 (/.f64 (+.f64 b_2 (.f64 c (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (.f64 b_2 b_2))) b_2))) a)))
(fma.f64 (-.f64 #s(literal 0 binary64) b_2) (/.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 (+.f64 b_2 (.f64 c (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (.f64 b_2 b_2))) b_2))) a)))
(neg.f64 (/.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (.f64 c (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (.f64 b_2 b_2))) b_2))) b_2) (-.f64 #s(literal 0 binary64) a)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (.f64 c (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (.f64 b_2 b_2))) b_2))) b_2)) a))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (.f64 c (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (.f64 b_2 b_2))) b_2))) b_2))))
(/.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (.f64 c (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (.f64 b_2 b_2))) b_2))) b_2) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (.f64 c (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (.f64 b_2 b_2))) b_2))) b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (.f64 c (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (.f64 b_2 b_2))) b_2))) b_2)) #s(literal 1 binary64)))
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(/.f64 (-.f64 (.f64 b_2 b_2) (.f64 (+.f64 b_2 (.f64 c (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (.f64 b_2 b_2))) b_2))) (+.f64 b_2 (.f64 c (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (.f64 b_2 b_2))) b_2))))) (.f64 a (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) b_2) b_2) (.f64 c (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (*.f64 b_2 b_2))) b_2)))))
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(/.f64 (-.f64 (.f64 (/.f64 b_2 a) (/.f64 b_2 a)) (.f64 (/.f64 (+.f64 b_2 (.f64 c (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (.f64 b_2 b_2))) b_2))) a) (/.f64 (+.f64 b_2 (.f64 c (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (.f64 b_2 b_2))) b_2))) a))) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) b_2) a) (/.f64 (+.f64 b_2 (.f64 c (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (.f64 b_2 b_2))) b_2))) a)))
(/.f64 (-.f64 b_2 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (.f64 c (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (.f64 b_2 b_2))) b_2)))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (.f64 c (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (*.f64 b_2 b_2))) b_2))) b_2) #s(literal 1 binary64)) a)
(/.f64 (.f64 (-.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 (+.f64 b_2 (.f64 c (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (.f64 b_2 b_2))) b_2))) (.f64 (+.f64 b_2 (.f64 c (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (.f64 b_2 b_2))) b_2))) (+.f64 b_2 (.f64 c (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (.f64 b_2 b_2))) b_2)))))) (/.f64 #s(literal 1 binary64) a)) (+.f64 (.f64 b_2 b_2) (.f64 (+.f64 b_2 (.f64 c (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (.f64 b_2 b_2))) b_2))) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) b_2) b_2) (.f64 c (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (*.f64 b_2 b_2))) b_2))))))
(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 (+.f64 b_2 (.f64 c (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (.f64 b_2 b_2))) b_2))) (+.f64 b_2 (.f64 c (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (.f64 b_2 b_2))) b_2))))) (/.f64 #s(literal 1 binary64) a)) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) b_2) b_2) (.f64 c (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (*.f64 b_2 b_2))) b_2))))
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(/.f64 (-.f64 (.f64 #s(literal 1 binary64) b_2) (-.f64 (-.f64 #s(literal 0 binary64) b_2) (.f64 c (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (*.f64 b_2 b_2))) b_2)))) (-.f64 #s(literal 0 binary64) a))
(/.f64 (-.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b_2)) (-.f64 (-.f64 #s(literal 0 binary64) b_2) (.f64 c (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (.f64 b_2 b_2))) b_2)))) (-.f64 #s(literal 0 binary64) a))
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(.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (.f64 c (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (*.f64 b_2 b_2))) b_2))) b_2) a))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (.f64 c (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (*.f64 b_2 b_2))) b_2))) b_2)) (/.f64 #s(literal -1 binary64) a))
(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (.f64 c (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (*.f64 b_2 b_2))) b_2))) b_2))
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(pow.f64 (/.f64 (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (.f64 b_2 b_2))) b_2) (.f64 (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (.f64 b_2 b_2))) b_2) (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (.f64 b_2 b_2))) b_2))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 (.f64 a #s(literal -1/2 binary64)) (.f64 b_2 (.f64 b_2 b_2))) (.f64 b_2 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)))) (/.f64 #s(literal 1 binary64) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))))
(.f64 (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 a a))) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))) #s(literal -1/512 binary64)) (.f64 c (.f64 c c))) (.f64 b_2 (.f64 b_2 b_2))) (.f64 (.f64 b_2 b_2) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 b_2 (.f64 a #s(literal -1/2 binary64)))) (/.f64 (/.f64 (-.f64 (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (.f64 b_2 b_2)) (.f64 a #s(literal -1/2 binary64))) b_2) (/.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)))))))
(.f64 (.f64 (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (.f64 b_2 b_2))) b_2) (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (.f64 b_2 b_2))) b_2)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (*.f64 b_2 b_2))) b_2)))

simplify964.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

5560×	`-lowering-.f32`
5560×	`-lowering-.f64`
2742×	`+-lowering-+.f64`
2742×	`+-lowering-+.f32`
1708×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1320	12023
1	4808	11752
0	8334	11752

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 708

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

eval546.0ms (2.2%)

Compiler: Compiled 45953 to 4756 computations (89.7% saved)

prune519.0ms (2.1%)

Pruning

41 alts after pruning (38 fresh and 3 done)

	Pruned	Kept	Total
New	1533	28	1561
Fresh	8	10	18
Picked	3	2	5
Done	0	1	1
Total	1544	41	1585

Accuracy

91.5%

Counts

1585 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.8%	(/.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)
	25.8%	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
	11.1%	(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 a c)) b_2) a)
	36.5%	(/.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))))))
	22.6%	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) b_2) a) (.f64 a (+.f64 b_2 (.f64 c (/.f64 (-.f64 (.f64 a #s(literal -1/2 binary64)) (/.f64 (.f64 (.f64 a a) (.f64 #s(literal -1/8 binary64) c)) (.f64 b_2 b_2))) b_2))))) (*.f64 a a))
	22.8%	(/.f64 (-.f64 (.f64 (.f64 b_2 b_2) #s(literal 4 binary64)) (.f64 (/.f64 c (/.f64 b_2 (.f64 a #s(literal -1/2 binary64)))) (/.f64 c (/.f64 b_2 (.f64 a #s(literal -1/2 binary64)))))) (.f64 a (-.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 a (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))))
	38.3%	(/.f64 (-.f64 (.f64 b_2 a) (.f64 (-.f64 #s(literal 0 binary64) a) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (*.f64 (-.f64 #s(literal 0 binary64) a) a))
	25.5%	(/.f64 (-.f64 (.f64 b_2 a) (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (*.f64 a a))
	31.7%	(/.f64 (-.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 c (/.f64 b_2 (.f64 a #s(literal -1/2 binary64))))) a)
	48.2%	(/.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)
	27.1%	(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 c (/.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) c) (.f64 b_2 b_2)) (.f64 a #s(literal -1/2 binary64))) b_2)))) a)
✓	55.2%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	38.1%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))) a)
	17.9%	(/.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))
▶	28.0%	(/.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))
	23.9%	(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) c) (/.f64 (.f64 #s(literal -2 binary64) (*.f64 b_2 b_2)) a)) b_2)
	32.8%	(/.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)))))
	32.9%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
	2.5%	(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
✓	31.8%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
	11.2%	(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
	31.7%	(/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 a (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))))
	11.5%	(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) b_2) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 a c)) b_2)) c))
	2.5%	(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2))
▶	55.1%	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
	11.5%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2) (/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)) c) (-.f64 #s(literal 0 binary64) a)))
▶	29.8%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c))))) (-.f64 #s(literal 0 binary64) a)))
	2.5%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (-.f64 #s(literal 0 binary64) a)))
	11.2%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (/.f64 b_2 a) c)) (-.f64 #s(literal 0 binary64) a)))
	11.4%	(/.f64 #s(literal -1 binary64) (.f64 b_2 (+.f64 (/.f64 (.f64 a #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) c))))
▶	31.8%	(+.f64 (/.f64 (.f64 #s(literal -2 binary64) b_2) a) (/.f64 (.f64 #s(literal 1/2 binary64) c) b_2))
	28.2%	(+.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))))
	23.0%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (-.f64 #s(literal 0 binary64) (.f64 a a))) a)
	20.5%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 a (.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))) (-.f64 #s(literal 0 binary64) (*.f64 a a))) a)
	25.8%	(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 a c)) b_2))
	25.1%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (+.f64 b_2 (.f64 c (+.f64 (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) c) (.f64 b_2 (.f64 b_2 b_2))))))))
✓	55.1%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
	38.0%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c)))))
▶	31.7%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
	29.2%	(.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (.f64 #s(literal -2 binary64) (/.f64 (/.f64 b_2 a) c))))
	14.7%	(exp.f64 (.f64 (log.f64 (/.f64 a (.f64 b_2 #s(literal -2 binary64)))) #s(literal -1 binary64)))

Compiler

Compiled 1483 to 949 computations (36% saved)

simplify382.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))))
✓	cost-diff	256	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c))))) (-.f64 #s(literal 0 binary64) a))
✓	cost-diff	384	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c))))) (-.f64 #s(literal 0 binary64) a)))
✓	cost-diff	0	(.f64 #s(literal 1/8 binary64) (.f64 a (*.f64 c c)))
✓	cost-diff	0	(/.f64 (.f64 #s(literal 1/8 binary64) (.f64 a (.f64 c c))) (.f64 b_2 b_2))
✓	cost-diff	128	(+.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))
✓	cost-diff	256	(/.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))
✓	cost-diff	0	(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) b_2)
✓	cost-diff	0	(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
✓	cost-diff	0	(+.f64 (/.f64 (.f64 #s(literal -2 binary64) b_2) a) (/.f64 (.f64 #s(literal 1/2 binary64) c) b_2))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) a)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
✓	cost-diff	0	(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

3122×	`-lowering-.f32`
3122×	`-lowering-.f64`
1296×	`distribute-lft-neg-in`
1188×	`fmsub-define`
1150×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	37	231
1	86	226
2	199	224
3	530	220
4	1251	217
5	2504	217
6	5692	216
0	8025	216

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

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

localize478.0ms (1.9%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))))
✓	accuracy	99.7%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c))))) (-.f64 #s(literal 0 binary64) a))
✓	accuracy	99.7%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c))))) (-.f64 #s(literal 0 binary64) a)))
✓	accuracy	84.9%	(sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))
✓	accuracy	99.7%	(.f64 #s(literal 1/8 binary64) (.f64 a (*.f64 c c)))
✓	accuracy	98.9%	(/.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))
✓	accuracy	90.3%	(.f64 a (.f64 c c))
✓	accuracy	83.7%	(/.f64 (.f64 #s(literal 1/8 binary64) (.f64 a (.f64 c c))) (.f64 b_2 b_2))
✓	accuracy	100.0%	(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) c)
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) b_2)
✓	accuracy	100.0%	(+.f64 (/.f64 (.f64 #s(literal -2 binary64) b_2) a) (/.f64 (.f64 #s(literal 1/2 binary64) c) b_2))
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) a)
✓	accuracy	99.9%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
✓	accuracy	99.7%	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
✓	accuracy	98.2%	(/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
✓	accuracy	91.1%	(+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	accuracy	77.8%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Results

146.0ms	136×	0	valid
87.0ms	27×	2	valid
77.0ms	80×	0	invalid
20.0ms	4×	3	valid
19.0ms	9×	1	valid

Compiler

Compiled 254 to 38 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 155.0ms

ival-div: 47.0ms (30.3% of total)

ival-mult: 47.0ms (30.3% of total)

ival-sub: 22.0ms (14.2% of total)

backward-pass: 13.0ms (8.4% of total)

ival-sqrt: 12.0ms (7.7% of total)

ival-add: 11.0ms (7.1% of total)

const: 2.0ms (1.3% of total)

series176.0ms (0.7%)

Counts

21 → 612

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

Calls

153 calls:

Time	Variable		Point	Expression
33.0ms	c	@	0	(/ -1 (* (/ 1 (- b_2 (sqrt (- 0 (* a c))))) (- 0 a)))
15.0ms	a	@	0	(* (/ 1 (- b_2 (sqrt (- 0 (* a c))))) (- 0 a))
7.0ms	a	@	inf	(/ a (+ b_2 (sqrt (- (* b_2 b_2) (* a c)))))
6.0ms	a	@	-inf	(* 1/8 (* a (* c c)))
3.0ms	a	@	0	(/ (+ (/ (* 1/8 (* a (* c c))) (* b_2 b_2)) (* 1/2 c)) (- 0 b_2))

rewrite764.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3300×	`/-lowering-/.f32`
3300×	`/-lowering-/.f64`
2602×	`-lowering-.f32`
2602×	`-lowering-.f64`
1654×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	175
1	249	167
2	2447	157
0	8825	157

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 635

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

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

simplify864.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

5942×	`-lowering-.f32`
5942×	`-lowering-.f64`
3682×	`+-lowering-+.f64`
3682×	`+-lowering-+.f32`
1550×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1039	8823
1	3679	8440
0	8203	8440

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 612

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

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

eval349.0ms (1.4%)

Compiler: Compiled 27280 to 3152 computations (88.4% saved)

prune456.0ms (1.8%)

Pruning

49 alts after pruning (42 fresh and 7 done)

	Pruned	Kept	Total
New	1247	14	1261
Fresh	5	28	33
Picked	1	4	5
Done	0	3	3
Total	1253	49	1302

Accuracy

99.6%

Counts

1302 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.8%	(/.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)
	11.1%	(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 a c)) b_2) a)
▶	36.5%	(/.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))))))
	38.3%	(/.f64 (-.f64 (.f64 b_2 a) (.f64 (-.f64 #s(literal 0 binary64) a) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (*.f64 (-.f64 #s(literal 0 binary64) a) a))
	25.5%	(/.f64 (-.f64 (.f64 b_2 a) (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (*.f64 a a))
	31.7%	(/.f64 (-.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 c (/.f64 b_2 (.f64 a #s(literal -1/2 binary64))))) a)
▶	48.2%	(/.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)
	27.1%	(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 c (/.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) c) (.f64 b_2 b_2)) (.f64 a #s(literal -1/2 binary64))) b_2)))) a)
✓	55.2%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	38.1%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))) a)
	17.9%	(/.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))
	2.9%	(/.f64 (+.f64 (.f64 (.f64 b_2 (.f64 b_2 b_2)) (/.f64 #s(literal -8 binary64) (.f64 a (.f64 a a)))) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 c (.f64 c c))) (.f64 b_2 (.f64 b_2 b_2)))) (+.f64 (/.f64 (.f64 (.f64 c c) #s(literal 1/4 binary64)) (.f64 b_2 b_2)) (/.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal -2 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))))
	20.8%	(/.f64 (+.f64 (.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 b_2 (.f64 c #s(literal 1/2 binary64)))) (.f64 a #s(literal 1 binary64))) (.f64 a (/.f64 b_2 (.f64 c #s(literal 1/2 binary64)))))
	23.3%	(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (/.f64 b_2 (.f64 c #s(literal 1/2 binary64)))) (.f64 (/.f64 a (.f64 b_2 #s(literal -2 binary64))) #s(literal 1 binary64))) (.f64 (/.f64 a (.f64 b_2 #s(literal -2 binary64))) (/.f64 b_2 (*.f64 c #s(literal 1/2 binary64)))))
	23.9%	(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) c) (/.f64 (.f64 #s(literal -2 binary64) (*.f64 b_2 b_2)) a)) b_2)
	32.8%	(/.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)))))
	32.9%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
	2.5%	(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
✓	31.8%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
	11.2%	(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
▶	2.5%	(/.f64 b_2 a)
	31.7%	(/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 a (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))))
	11.5%	(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) b_2) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 a c)) b_2)) c))
	32.5%	(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 b_2 #s(literal 2 binary64)) c))
	2.5%	(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2))
	25.1%	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (+.f64 b_2 (.f64 c (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c (.f64 a a))) (.f64 b_2 (*.f64 b_2 b_2)))))))))
✓	55.1%	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
	11.5%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2) (/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)) c) (-.f64 #s(literal 0 binary64) a)))
	11.1%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b_2 (pow.f64 (.f64 (.f64 c c) (.f64 a a)) #s(literal 1/4 binary64)))) (-.f64 #s(literal 0 binary64) a)))
	19.6%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b_2 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) c)) (sqrt.f64 a)))) (-.f64 #s(literal 0 binary64) a)))
	18.5%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b_2 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 c)))) (-.f64 #s(literal 0 binary64) a)))
✓	29.8%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c))))) (-.f64 #s(literal 0 binary64) a)))
	2.5%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (-.f64 #s(literal 0 binary64) a)))
	32.1%	(/.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)))
	11.2%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (/.f64 b_2 a) c)) (-.f64 #s(literal 0 binary64) a)))
	11.4%	(/.f64 #s(literal -1 binary64) (.f64 b_2 (+.f64 (/.f64 (.f64 a #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) c))))
✓	31.8%	(+.f64 (/.f64 (.f64 #s(literal -2 binary64) b_2) a) (/.f64 (.f64 #s(literal 1/2 binary64) c) b_2))
	15.7%	(+.f64 (/.f64 (.f64 #s(literal -2 binary64) b_2) a) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 (.f64 b_2 b_2) (-.f64 #s(literal 0 binary64) b_2))) (.f64 b_2 b_2)))
▶	31.8%	(+.f64 (/.f64 (.f64 #s(literal -2 binary64) b_2) a) (.f64 c (/.f64 #s(literal 1/2 binary64) b_2)))
	28.2%	(+.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))))
	23.0%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (-.f64 #s(literal 0 binary64) (.f64 a a))) a)
▶	20.5%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 a (.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))) (-.f64 #s(literal 0 binary64) (*.f64 a a))) a)
	25.8%	(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 a c)) b_2))
✓	55.1%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
	38.0%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c)))))
✓	31.7%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
	13.3%	(.f64 (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (.f64 a (.f64 a a)))) (*.f64 a a)) b_2)
	22.6%	(.f64 (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a a))) a) b_2)
	14.7%	(exp.f64 (.f64 (log.f64 (/.f64 a (.f64 b_2 #s(literal -2 binary64)))) #s(literal -1 binary64)))

Compiler

Compiled 1737 to 1112 computations (36% saved)

simplify322.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	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) (-.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	256	(/.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))))))
✓	cost-diff	0	(+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 a (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))
✓	cost-diff	128	(-.f64 #s(literal 0 binary64) (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 a (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)))))
✓	cost-diff	384	(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 a (.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))) (-.f64 #s(literal 0 binary64) (.f64 a a)))
✓	cost-diff	640	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 a (.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))) (-.f64 #s(literal 0 binary64) (*.f64 a a))) a)
✓	cost-diff	0	(*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) b_2)
✓	cost-diff	0	(/.f64 (*.f64 #s(literal -2 binary64) b_2) a)
✓	cost-diff	0	(+.f64 (/.f64 (.f64 #s(literal -2 binary64) b_2) a) (.f64 c (/.f64 #s(literal 1/2 binary64) b_2)))
✓	cost-diff	0	(/.f64 b_2 a)
✓	cost-diff	0	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	cost-diff	0	(/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	cost-diff	64	(-.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)))))
✓	cost-diff	64	(/.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)

Rules

1998×	`-lowering-.f32`
1998×	`-lowering-.f64`
1842×	`fnmadd-define`
1704×	`fmsub-define`
1688×	`fmm-def`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	247
1	87	244
2	226	240
3	766	237
4	3537	236
0	8556	236

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize899.0ms (3.6%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.4%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	96.6%	(/.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))))))
✓	accuracy	79.2%	(-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	accuracy	63.9%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	accuracy	99.7%	(*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))
✓	accuracy	92.9%	(.f64 a (.f64 c (/.f64 #s(literal 1/2 binary64) b_2)))
✓	accuracy	82.8%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 a (.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))) (-.f64 #s(literal 0 binary64) (*.f64 a a))) a)
✓	accuracy	78.8%	(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b_2 #s(literal -2 binary64)) (.f64 a (.f64 c (/.f64 #s(literal 1/2 binary64) b_2))))) (-.f64 #s(literal 0 binary64) (.f64 a a)))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) b_2)
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) b_2)
✓	accuracy	100.0%	(+.f64 (/.f64 (.f64 #s(literal -2 binary64) b_2) a) (.f64 c (/.f64 #s(literal 1/2 binary64) b_2)))
✓	accuracy	99.7%	(*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))
✓	accuracy	100.0%	(/.f64 b_2 a)
✓	accuracy	96.3%	(/.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)
✓	accuracy	80.3%	(-.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)))))
✓	accuracy	63.9%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	accuracy	63.7%	(/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))

Results

256.0ms	89×	2	valid
156.0ms	103×	0	valid
108.0ms	40×	1	valid
87.0ms	24×	3	valid

Compiler

Compiled 285 to 34 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 247.0ms

ival-div: 71.0ms (28.8% of total)

ival-mult: 64.0ms (25.9% of total)

backward-pass: 49.0ms (19.9% of total)

ival-sub: 35.0ms (14.2% of total)

ival-sqrt: 10.0ms (4.1% of total)

ival-add: 10.0ms (4.1% of total)

ival-neg: 6.0ms (2.4% of total)

const: 2.0ms (0.8% of total)

series57.0ms (0.2%)

Counts

20 → 612

Calls

Call 1

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

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

Calls

153 calls:

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

rewrite856.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2712×	`fma-lowering-fma.f32`
2712×	`fma-lowering-fma.f64`
2400×	`-lowering-.f32`
2400×	`-lowering-.f64`
1968×	`prod-diff`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	196
1	236	189
2	2289	160
0	8444	160

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 656

Calls

Call 1

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

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

simplify932.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

6090×	`-lowering-.f32`
6090×	`-lowering-.f64`
3898×	`+-lowering-+.f64`
3898×	`+-lowering-+.f32`
1356×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1020	9424
1	3693	9234
0	8482	9234

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 612

Calls

Call 1

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

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

eval595.0ms (2.4%)

Compiler: Compiled 45571 to 4412 computations (90.3% saved)

prune639.0ms (2.6%)

Pruning

56 alts after pruning (47 fresh and 9 done)

	Pruned	Kept	Total
New	1633	21	1654
Fresh	11	26	37
Picked	3	2	5
Done	0	7	7
Total	1647	56	1703

Accuracy

99.6%

Counts

1703 → 56

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.8%	(/.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)
	11.1%	(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 a c)) b_2) a)
	11.5%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) (.f64 (/.f64 b_2 a) #s(literal 2 binary64))) c))
	11.1%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 c a)))
	11.1%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 c a)) b_2)))
	36.6%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 b_2 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) #s(literal -1/2 binary64))))))
	29.8%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))))))
	2.5%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1/2 binary64) b_2))
	38.3%	(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) b_2) a) (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (*.f64 a a))
	25.5%	(/.f64 (-.f64 (.f64 b_2 a) (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (*.f64 a a))
	31.7%	(/.f64 (-.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 c (/.f64 b_2 (.f64 a #s(literal -1/2 binary64))))) a)
	24.7%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (+.f64 b_2 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) b_2)))) a)
	19.6%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (+.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)))))))) a)
	24.5%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) (.f64 b_2 b_2)))))) a)
✓	48.2%	(/.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)
	36.5%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))))) a)
	55.1%	(/.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)
	27.1%	(/.f64 (-.f64 (neg.f64 b_2) (+.f64 b_2 (.f64 c (/.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) c) (.f64 b_2 b_2)) (.f64 a #s(literal -1/2 binary64))) b_2)))) a)
✓	55.2%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	38.1%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))) a)
	17.9%	(/.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))
	32.8%	(/.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)))))
	11.2%	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
	32.9%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
	2.5%	(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
✓	31.8%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
✓	2.5%	(/.f64 b_2 a)
	11.5%	(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) b_2) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 a c)) b_2)) c))
	32.5%	(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 b_2 #s(literal 2 binary64)) c))
	2.5%	(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2))
	25.1%	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (+.f64 b_2 (.f64 c (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 a b_2)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c (.f64 a a))) (.f64 b_2 (*.f64 b_2 b_2)))))))))
✓	55.1%	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
	11.5%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2) (/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)) c) (-.f64 #s(literal 0 binary64) a)))
	19.6%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b_2 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) c)) (sqrt.f64 a)))) (-.f64 #s(literal 0 binary64) a)))
	18.5%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b_2 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) a)) (sqrt.f64 c)))) (-.f64 #s(literal 0 binary64) a)))
✓	29.8%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c))))) (-.f64 #s(literal 0 binary64) a)))
	32.1%	(/.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)))
	11.2%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal 2 binary64) (/.f64 (/.f64 b_2 a) c)) (-.f64 #s(literal 0 binary64) a)))
	11.4%	(/.f64 #s(literal -1 binary64) (.f64 b_2 (+.f64 (/.f64 (.f64 a #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 #s(literal -2 binary64) c))))
	28.2%	(+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (.f64 c (+.f64 (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 c a)) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 #s(literal 1/2 binary64) b_2))))
✓	31.8%	(+.f64 (/.f64 (.f64 #s(literal -2 binary64) b_2) a) (/.f64 (.f64 #s(literal 1/2 binary64) c) b_2))
	15.7%	(+.f64 (/.f64 (.f64 #s(literal -2 binary64) b_2) a) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 (.f64 b_2 b_2) (-.f64 #s(literal 0 binary64) b_2))) (.f64 b_2 b_2)))
	30.7%	(+.f64 (/.f64 (.f64 #s(literal -2 binary64) b_2) a) (.f64 c (exp.f64 (*.f64 (log.f64 (/.f64 b_2 #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
	31.7%	(+.f64 (/.f64 #s(literal -2 binary64) (/.f64 a b_2)) (*.f64 c (/.f64 #s(literal 1/2 binary64) b_2)))
	17.3%	(.f64 (/.f64 (+.f64 (/.f64 (.f64 (.f64 b_2 b_2) #s(literal -2 binary64)) (.f64 a a)) (/.f64 (*.f64 c #s(literal 1/2 binary64)) a)) b_2) a)
	24.3%	(.f64 (/.f64 (+.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 (.f64 (.f64 a c) #s(literal 1/2 binary64)) b_2)) (*.f64 a a)) a)
	11.7%	(.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) (*.f64 a b_2)) a)
	25.1%	(.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) (*.f64 a a)) a)
	25.8%	(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 a c)) b_2))
✓	55.1%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
	38.0%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c)))))
✓	31.7%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
	13.3%	(.f64 (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (.f64 a (.f64 a a)))) (*.f64 a a)) b_2)
	22.6%	(.f64 (.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 a a))) a) b_2)
	27.4%	(.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) (*.f64 c a))))
	14.7%	(exp.f64 (.f64 (log.f64 (/.f64 a (.f64 b_2 #s(literal -2 binary64)))) #s(literal -1 binary64)))

Compiler

Compiled 2456 to 1035 computations (57.9% saved)

regimes178.0ms (0.7%)

Counts

87 → 3

Calls

Call 1

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

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

Calls

4 calls:

38.0ms	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
37.0ms	a
36.0ms	b_2
36.0ms	c

Results

Accuracy	Segments	Branch
57.8%	2	`a`
87.9%	3	`b_2`
57.5%	2	`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)

regimes49.0ms (0.2%)

Counts

62 → 3

Calls

Call 1

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

27.0ms

b_2

Results

Accuracy	Segments	Branch
82.5%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes35.0ms (0.1%)

Counts

60 → 2

Calls

Call 1

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

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:

26.0ms

b_2

Results

Accuracy	Segments	Branch
62.4%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes52.0ms (0.2%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

1 calls:

49.0ms

b_2

Results

Accuracy	Segments	Branch
62.1%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	b_2
4.0ms	a
4.0ms	c

Results

Accuracy	Segments	Branch
31.8%	1	`c`
31.8%	1	`a`
40.0%	2	`b_2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

b_2

Results

Accuracy	Segments	Branch
40.0%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	c
3.0ms	a
3.0ms	b_2

Results

Accuracy	Segments	Branch
31.7%	1	`c`
31.7%	1	`a`
31.7%	1	`b_2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes11.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 b_2 a)

Outputs
(/.f64 b_2 a)

Calls

3 calls:

6.0ms	c
2.0ms	b_2
2.0ms	a

Results

Accuracy	Segments	Branch
2.5%	1	`b_2`
2.5%	1	`c`
2.5%	1	`a`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch69.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
33.0ms	2.1782567834426836e+94	3.631913765392126e+95
28.0ms	-2.9088476051491758e-98	-1.8089822794204288e-98

Results

28.0ms	151×	0	valid
6.0ms	16×	1	valid
5.0ms	9×	2	valid
4.0ms	21×	0	invalid

Compiler

Compiled 364 to 248 computations (31.9% saved)

Precisions

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

ival-mult: 8.0ms (29.8% of total)

ival-sub: 6.0ms (22.4% of total)

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

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

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

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

const: 0.0ms (0% of total)

bsearch81.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
44.0ms	1.2310411535265626e-63	6.956832415896645e-59
27.0ms	-2.9088476051491758e-98	-1.8089822794204288e-98

Results

31.0ms	170×	0	valid
9.0ms	51×	0	invalid
7.0ms	18×	1	valid
2.0ms	4×	2	valid

Compiler

Compiled 358 to 263 computations (26.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 10.0ms (32.5% of total)

ival-sub: 6.0ms (19.5% of total)

ival-sqrt: 6.0ms (19.5% of total)

ival-div: 5.0ms (16.3% of total)

ival-neg: 3.0ms (9.8% of total)

backward-pass: 1.0ms (3.3% of total)

const: 0.0ms (0% of total)

bsearch86.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
79.0ms	-1.663875372287113e-303	2.848473588093916e-307

Results

36.0ms	62×	0	invalid
25.0ms	144×	0	valid

Compiler

Compiled 238 to 177 computations (25.6% saved)

Precisions

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

ival-mult: 8.0ms (36.3% of total)

ival-sub: 5.0ms (22.7% of total)

ival-div: 4.0ms (18.1% of total)

ival-sqrt: 3.0ms (13.6% of total)

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

const: 0.0ms (0% of total)

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

bsearch71.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
64.0ms	-8.81086685387217e-279	-3.249844716427271e-292

Results

30.0ms	160×	0	valid
13.0ms	73×	0	invalid

Compiler

Compiled 202 to 155 computations (23.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 9.0ms (35.8% of total)

ival-sub: 5.0ms (19.9% of total)

ival-div: 4.0ms (15.9% of total)

ival-sqrt: 4.0ms (15.9% of total)

ival-neg: 3.0ms (11.9% of total)

const: 0.0ms (0% of total)

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

bsearch97.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
88.0ms	-1.0769005566711236e-31	-4.606899845894266e-61

Results

25.0ms	46×	2	valid
19.0ms	92×	0	valid
14.0ms	38×	1	valid
10.0ms	34×	0	invalid

Compiler

Compiled 220 to 169 computations (23.2% saved)

Precisions

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

ival-mult: 12.0ms (30.7% of total)

ival-sub: 8.0ms (20.4% of total)

ival-sqrt: 6.0ms (15.3% of total)

ival-div: 6.0ms (15.3% of total)

ival-neg: 4.0ms (10.2% of total)

backward-pass: 3.0ms (7.7% of total)

const: 0.0ms (0% of total)

bsearch96.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
87.0ms	-1.0769005566711236e-31	-4.606899845894266e-61

Results

33.0ms	59×	2	valid
17.0ms	81×	0	valid
13.0ms	36×	1	valid
4.0ms	26×	0	invalid

Compiler

Compiled 220 to 169 computations (23.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 14.0ms (32.3% of total)

ival-sub: 8.0ms (18.4% of total)

ival-div: 6.0ms (13.8% of total)

ival-sqrt: 6.0ms (13.8% of total)

backward-pass: 4.0ms (9.2% of total)

ival-neg: 4.0ms (9.2% of total)

const: 0.0ms (0% of total)

simplify36.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

42×	`*-commutative_binary64`
42×	`+-commutative_binary64`
36×	`sub-neg_binary64`
28×	`neg-mul-1_binary64`
26×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	143
1	84	143
2	113	143
3	144	143
4	169	143
5	181	143
6	186	143
7	187	143

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -8003532508642629/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 88000000000000004743538847665017937838113692665273922263835970786702791849952609826141527605248 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 (-.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 c (/.f64 b_2 (*.f64 a #s(literal -1/2 binary64))))) a)))
(if (<=.f64 b_2 #s(literal -8003532508642629/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 5427754182999197/113078212145816597093331040047546785012958969400039613319782796882727665664 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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 -983113433127829/2808895523222368605827039360607851146278089029597354019897345018089573059460952548948569958162617750330001779372990521213418590137725259726450741103741783193402623334763523207442222181269470220616454421126328215138096104411600982523029892352200425580677351729446660909999175717788745567263052442650378502144 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a))
(if (<=.f64 b_2 #s(literal -4795552247492025/45671926166590716193865151022383844364247891968 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) c) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a))
(if (<=.f64 b_2 #s(literal -3390683798607695/11692013098647223345629478661730264157247460343808 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) c) b_2) (.f64 (/.f64 #s(literal -2 binary64) a) b_2))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(/.f64 b_2 a)

Outputs
(if (<=.f64 b_2 #s(literal -8003532508642629/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 88000000000000004743538847665017937838113692665273922263835970786702791849952609826141527605248 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 (-.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 c (/.f64 b_2 (*.f64 a #s(literal -1/2 binary64))))) a)))
(if (<=.f64 b_2 #s(literal -8003532508642629/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 88000000000000004743538847665017937838113692665273922263835970786702791849952609826141527605248 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a) (/.f64 (-.f64 (.f64 b_2 #s(literal -2 binary64)) (/.f64 c (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) a)))) a)))
(if (<=.f64 b_2 #s(literal -8003532508642629/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 5427754182999197/113078212145816597093331040047546785012958969400039613319782796882727665664 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 -8003532508642629/307828173409331868845930000782371982852185463050511302093346042220669701339821957901673955116288403443801781174272 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 5427754182999197/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (.f64 a (-.f64 #s(literal 0 binary64) 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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 -983113433127829/2808895523222368605827039360607851146278089029597354019897345018089573059460952548948569958162617750330001779372990521213418590137725259726450741103741783193402623334763523207442222181269470220616454421126328215138096104411600982523029892352200425580677351729446660909999175717788745567263052442650378502144 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a))
(if (<=.f64 b_2 #s(literal -4795552247492025/45671926166590716193865151022383844364247891968 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) c) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a))
(if (<=.f64 b_2 #s(literal -4795552247492025/45671926166590716193865151022383844364247891968 binary64)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a))
(if (<=.f64 b_2 #s(literal -3390683798607695/11692013098647223345629478661730264157247460343808 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) c) b_2) (.f64 (/.f64 #s(literal -2 binary64) a) b_2))
(if (<=.f64 b_2 #s(literal -3390683798607695/11692013098647223345629478661730264157247460343808 binary64)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2) (.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(/.f64 b_2 a)

soundness4.0s (16.3%)

Rules

5942×	`-lowering-.f32`
5942×	`-lowering-.f64`
5560×	`-lowering-.f32`
5560×	`-lowering-.f64`
5216×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	252
1	269	239
2	2901	239
0	8303	239
0	1039	8823
1	3679	8440
0	8203	8440
0	10	41
1	70	41
2	555	39
0	8588	39
0	528	3005
1	1844	2933
2	6552	2905
0	8052	2905
0	1320	12023
1	4808	11752
0	8334	11752

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

Compiler

Compiled 376 to 221 computations (41.2% saved)

preprocess195.0ms (0.8%)

Compiler: Compiled 514 to 186 computations (63.8% saved)

analyze383.0ms (1.5%)

sample3.3s (13.3%)

preprocess279.0ms (1.1%)

explain321.0ms (1.3%)

eval1.0ms (0%)

prune2.0ms (0%)

simplify149.0ms (0.6%)

localize167.0ms (0.7%)

series55.0ms (0.2%)

rewrite626.0ms (2.5%)

simplify737.0ms (3%)

eval324.0ms (1.3%)

prune250.0ms (1%)

simplify1.2s (5%)

localize881.0ms (3.6%)

series254.0ms (1%)

rewrite843.0ms (3.4%)

simplify964.0ms (3.9%)

eval546.0ms (2.2%)

prune519.0ms (2.1%)

simplify382.0ms (1.5%)

localize478.0ms (1.9%)

series176.0ms (0.7%)

rewrite764.0ms (3.1%)

simplify864.0ms (3.5%)

eval349.0ms (1.4%)

prune456.0ms (1.8%)

simplify322.0ms (1.3%)

localize899.0ms (3.6%)

series57.0ms (0.2%)

rewrite856.0ms (3.5%)

simplify932.0ms (3.8%)

eval595.0ms (2.4%)

prune639.0ms (2.6%)

regimes178.0ms (0.7%)

regimes49.0ms (0.2%)

regimes35.0ms (0.1%)

regimes52.0ms (0.2%)

regimes14.0ms (0.1%)

regimes5.0ms (0%)

regimes10.0ms (0%)

regimes11.0ms (0%)

bsearch69.0ms (0.3%)

bsearch81.0ms (0.3%)

bsearch86.0ms (0.3%)

bsearch71.0ms (0.3%)

bsearch97.0ms (0.4%)

bsearch96.0ms (0.4%)

simplify36.0ms (0.1%)

soundness4.0s (16.3%)

preprocess195.0ms (0.8%)

end0.0ms (0%)

Profiling