Metrics for quad2p (problem 3.2.1, positive)

analyze223.0ms (1.8%)

Memory

-45.8MiB live, 177.0MiB allocated

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 15 to 12 computations (20% saved)

sample1.7s (13.8%)

Memory

25.8MiB live, 1 706.7MiB allocated

Samples

517.0ms	5 575×	0	valid
280.0ms	1 171×	2	valid
254.0ms	1 310×	1	valid
141.0ms	1 053×	0	invalid
47.0ms	200×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 820.0ms

ival-mult: 203.0ms (24.8% of total)

ival-sqrt: 173.0ms (21.1% of total)

ival-add: 127.0ms (15.5% of total)

ival-sub: 91.0ms (11.1% of total)

ival-div: 89.0ms (10.9% of total)

ival-neg: 83.0ms (10.1% of total)

adjust: 45.0ms (5.5% of total)

ival-true: 6.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

preprocess126.0ms (1%)

Memory

31.0MiB live, 110.2MiB allocated

Algorithm

2×	egg-herbie

Rules

1 014×	`div-sub`
798×	`times-frac`
442×	`associate-/r*`
416×	`accelerator-lowering-fma.f32`
416×	`accelerator-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	131
1	119	123
2	250	121
3	694	121
4	1801	121
5	3275	121
6	3876	121
7	3981	121
8	4069	121
9	4093	121
10	4093	121
0	10	13
1	21	12
2	38	12
3	67	12
4	106	12
5	182	12
6	314	12
7	460	12
8	802	12
9	915	12
10	947	12
11	958	12
12	959	12
0	959	12

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain198.0ms (1.6%)

Memory

-39.6MiB live, 314.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
108	0	-	0	-	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
66	1	(-2.6557573040482856e-66 2.3889604277162593e+85 1.6892078865245657e-172)	0	-	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
13	0	-	2	(-2.6557573040482856e-66 2.3889604277162593e+85 1.6892078865245657e-172)	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
4	0	-	0	-	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`
0	0	-	0	-	`(*.f64 b_2 b_2)`
0	0	-	0	-	`a`
0	0	-	0	-	`(neg.f64 b_2)`
0	0	-	0	-	`b_2`
0	0	-	0	-	`(*.f64 a c)`
0	0	-	0	-	`c`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	oflow-rescue	96	0
↳	`(*.f64 b_2 b_2)`	overflow	85
↳	`(*.f64 a c)`	overflow	17
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	overflow	96
`+.f64`	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	cancellation	67	0
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	uflow-rescue	12	0
↳	`(*.f64 b_2 b_2)`	underflow	46
↳	`(*.f64 a c)`	underflow	35
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	12
`/.f64`	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`	u/n	11	0
↳	`(*.f64 b_2 b_2)`	underflow	46
↳	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	underflow	24
↳	`(*.f64 a c)`	underflow	35
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	12
`-.f64`	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	nan-rescue	4	0
↳	`(*.f64 b_2 b_2)`	overflow	85
↳	`(*.f64 a c)`	overflow	17

Confusion

	Predicted +	Predicted -
+	134	0
-	14	108

Precision

0.9054054054054054

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	134	0	0
-	14	0	108

Precision?

0.9054054054054054

Recall?

1.0

Freqs

test

number	freq
0	108
1	107
2	40
3	1

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

40.0ms	332×	0	valid
31.0ms	86×	2	valid
11.0ms	78×	1	valid
5.0ms	16×	3	valid

Compiler

Compiled 136 to 44 computations (67.6% saved)

Precisions

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

ival-mult: 22.0ms (35.2% of total)

ival-div: 18.0ms (28.8% of total)

ival-sqrt: 7.0ms (11.2% of total)

ival-sub: 4.0ms (6.4% of total)

ival-neg: 4.0ms (6.4% of total)

ival-add: 4.0ms (6.4% of total)

adjust: 3.0ms (4.8% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.9%	(/.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)

simplify34.0ms (0.3%)

Memory

3.3MiB live, 41.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	cost-diff	0	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	cost-diff	128	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))

Rules

416×	`accelerator-lowering-fma.f32`
416×	`accelerator-lowering-fma.f64`
264×	`-lowering-.f32`
264×	`-lowering-.f64`
146×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	50
1	21	48
2	38	48
3	67	48
4	106	48
5	182	48
6	314	48
7	460	48
8	802	48
9	915	48
10	947	48
11	958	48
12	959	48
0	959	48

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

localize47.0ms (0.4%)

Memory

-20.7MiB live, 100.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.7%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	95.5%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	accuracy	76.3%	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	accuracy	60.6%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Samples

13.0ms	166×	0	valid
10.0ms	43×	2	valid
6.0ms	39×	1	valid
2.0ms	8×	3	valid

Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions

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

ival-mult: 5.0ms (28.1% of total)

ival-div: 3.0ms (16.9% of total)

ival-sqrt: 3.0ms (16.9% of total)

ival-sub: 2.0ms (11.2% of total)

adjust: 2.0ms (11.2% of total)

ival-neg: 2.0ms (11.2% of total)

ival-add: 2.0ms (11.2% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory

8.9MiB live, 46.9MiB allocated

Counts

4 → 144

Calls

Call 1

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

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

Calls

36 calls:

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

rewrite289.0ms (2.4%)

Memory

9.3MiB live, 527.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 898×	`accelerator-lowering-fma.f32`
3 898×	`accelerator-lowering-fma.f64`
3 070×	`-lowering-.f32`
3 070×	`-lowering-.f64`
1 432×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	57	37
2	456	37
3	5874	37
0	8926	33

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 416

Calls

Call 1

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

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

simplify460.0ms (3.8%)

Memory

16.5MiB live, 845.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 022×	`accelerator-lowering-fma.f32`
11 022×	`accelerator-lowering-fma.f64`
7 132×	`-lowering-.f32`
7 132×	`-lowering-.f64`
3 498×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	508	3176
1	1606	3136
2	5520	3120
0	8782	2984

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval96.0ms (0.8%)

Memory: 18.9MiB live, 127.4MiB allocated
Compiler: Compiled 18 725 to 2 053 computations (89% saved)

prune95.0ms (0.8%)

Memory

-16.9MiB live, 190.4MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	547	13	560
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	547	14	561

Accuracy

92.9%

Counts

561 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.4%	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
▶	28.9%	(/.f64 (+.f64 (.f64 c #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c c))) (*.f64 b_2 b_2))) b_2)
▶	30.7%	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (+.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (.f64 c (.f64 a (.f64 a c)))) #s(literal 1/4 binary64))) a)
	11.9%	(/.f64 (+.f64 (neg.f64 b_2) (.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (.f64 b_2 b_2))))) a)
✓	49.9%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	33.4%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))) a)
	9.2%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (+.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))) (.f64 a (.f64 c (.f64 c (.f64 a (.f64 a c)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 c (.f64 a (.f64 a c))) (.f64 (.f64 b_2 b_2) (+.f64 (.f64 b_2 b_2) (.f64 a c))))))))) a)
	14.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (+.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (.f64 c (.f64 a (.f64 a c)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b_2 b_2) (*.f64 a c))))))) a)
▶	46.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a)))) a)
	30.4%	(/.f64 (.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (.f64 b_2 b_2))) (-.f64 #s(literal 0 binary64) b_2)) a)
	37.5%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
▶	33.2%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
▶	33.3%	(-.f64 #s(literal 0 binary64) (.f64 b_2 (+.f64 (/.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) b_2) (/.f64 #s(literal 2 binary64) a))))
	35.6%	(.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)))))

Compiler

Compiled 564 to 344 computations (39% saved)

simplify201.0ms (1.7%)

Memory

13.5MiB live, 326.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (.f64 c (.f64 a (.f64 a c))))
✓	cost-diff	0	(pow.f64 (+.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (.f64 c (.f64 a (.f64 a c)))) #s(literal 1/4 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (+.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (.f64 c (.f64 a (.f64 a c)))) #s(literal 1/4 binary64))) a)
✓	cost-diff	128	(+.f64 (neg.f64 b_2) (pow.f64 (+.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (.f64 c (.f64 a (.f64 a c)))) #s(literal 1/4 binary64)))
✓	cost-diff	0	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c c))) (.f64 b_2 b_2))
✓	cost-diff	0	(*.f64 c #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (.f64 c #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c c))) (*.f64 b_2 b_2))) b_2)
✓	cost-diff	128	(+.f64 (.f64 c #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c c))) (*.f64 b_2 b_2)))
✓	cost-diff	0	(/.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2)
✓	cost-diff	0	(+.f64 (/.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2) (/.f64 #s(literal 2 binary64) a))
✓	cost-diff	128	(.f64 b_2 (+.f64 (/.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) b_2) (/.f64 #s(literal 2 binary64) a)))
✓	cost-diff	128	(-.f64 #s(literal 0 binary64) (.f64 b_2 (+.f64 (/.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) b_2) (/.f64 #s(literal 2 binary64) a))))
✓	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 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a)))
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a)))) a)
✓	cost-diff	128	(.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))
✓	cost-diff	128	(+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))))

Rules

3 896×	`-lowering-.f32`
3 896×	`-lowering-.f64`
3 478×	`accelerator-lowering-fma.f32`
3 478×	`accelerator-lowering-fma.f64`
1 628×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	307
1	96	293
2	228	293
3	570	284
4	1312	284
5	2552	276
6	4638	276
7	6608	276
0	8093	267

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize290.0ms (2.4%)

Memory

-19.0MiB live, 458.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	97.2%	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (+.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (.f64 c (.f64 a (.f64 a c)))) #s(literal 1/4 binary64))) a)
✓	accuracy	92.6%	(.f64 c (.f64 a (*.f64 a c)))
✓	accuracy	89.3%	(+.f64 (neg.f64 b_2) (pow.f64 (+.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (.f64 c (.f64 a (.f64 a c)))) #s(literal 1/4 binary64)))
✓	accuracy	33.2%	(pow.f64 (+.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (.f64 c (.f64 a (.f64 a c)))) #s(literal 1/4 binary64))
✓	accuracy	99.7%	(.f64 #s(literal -1/8 binary64) (.f64 a (*.f64 c c)))
✓	accuracy	98.8%	(/.f64 (+.f64 (.f64 c #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c c))) (*.f64 b_2 b_2))) b_2)
✓	accuracy	86.9%	(.f64 a (.f64 c c))
✓	accuracy	75.5%	(/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c c))) (.f64 b_2 b_2))
✓	accuracy	100.0%	(*.f64 c #s(literal -1/2 binary64))
✓	accuracy	100.0%	(+.f64 (/.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2) (/.f64 #s(literal 2 binary64) a))
✓	accuracy	99.8%	(/.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2)
✓	accuracy	93.2%	(.f64 b_2 (+.f64 (/.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) b_2) (/.f64 #s(literal 2 binary64) a)))
✓	accuracy	100.0%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
✓	accuracy	100.0%	(*.f64 b_2 #s(literal -2 binary64))
✓	accuracy	91.9%	(.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))
✓	accuracy	85.8%	(/.f64 (*.f64 b_2 b_2) c)
✓	accuracy	76.3%	(+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))))
✓	accuracy	60.6%	(sqrt.f64 (.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a)))

Samples

98.0ms	165×	0	valid
70.0ms	54×	2	valid
31.0ms	17×	3	valid
24.0ms	20×	1	valid

Compiler

Compiled 322 to 43 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-pow: 34.0ms (26.2% of total)

ival-mult: 30.0ms (23.1% of total)

ival-div: 22.0ms (16.9% of total)

ival-add: 21.0ms (16.2% of total)

ival-sub: 9.0ms (6.9% of total)

adjust: 7.0ms (5.4% of total)

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

ival-neg: 2.0ms (1.5% of total)

exact: 1.0ms (0.8% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series103.0ms (0.8%)

Memory

38.8MiB live, 180.4MiB allocated

Counts

22 → 672

Calls

Call 1

Inputs
#<alt (+ (neg b_2) (sqrt (* c (- (/ (* b_2 b_2) c) a))))>
#<alt (* c (- (/ (* b_2 b_2) c) a))>
#<alt (/ (+ (neg b_2) (sqrt (* c (- (/ (* b_2 b_2) c) a)))) a)>
#<alt (sqrt (* c (- (/ (* b_2 b_2) c) a)))>
#<alt (/ (* b_2 -2) a)>
#<alt (* b_2 -2)>
#<alt (- 0 (* b_2 (+ (/ (/ (* c -1/2) b_2) b_2) (/ 2 a))))>
#<alt (* b_2 (+ (/ (/ (* c -1/2) b_2) b_2) (/ 2 a)))>
#<alt (+ (/ (/ (* c -1/2) b_2) b_2) (/ 2 a))>
#<alt (/ (/ (* c -1/2) b_2) b_2)>
#<alt (+ (* c -1/2) (/ (* -1/8 (* a (* c c))) (* b_2 b_2)))>
#<alt (/ (+ (* c -1/2) (/ (* -1/8 (* a (* c c))) (* b_2 b_2))) b_2)>
#<alt (* c -1/2)>
#<alt (/ (* -1/8 (* a (* c c))) (* b_2 b_2))>
#<alt (+ (neg b_2) (pow (+ (* b_2 (* b_2 (* b_2 b_2))) (* c (* a (* a c)))) 1/4))>
#<alt (/ (+ (neg b_2) (pow (+ (* b_2 (* b_2 (* b_2 b_2))) (* c (* a (* a c)))) 1/4)) a)>
#<alt (pow (+ (* b_2 (* b_2 (* b_2 b_2))) (* c (* a (* a c)))) 1/4)>
#<alt (+ (* b_2 (* b_2 (* b_2 b_2))) (* c (* a (* a c))))>
#<alt (/ (* b_2 b_2) c)>
#<alt (* a (* c c))>
#<alt (* -1/8 (* a (* c c)))>
#<alt (* c (* a (* a c)))>

Outputs
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 b_2)>
#<alt (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))>
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))>
#<alt (* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 3)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 4) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 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)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))>
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (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 (+ (* -1 a) (/ (pow b_2 2) c)))>
#<alt (* c (+ (* -1 a) (/ (pow b_2 2) c)))>
#<alt (* c (+ (* -1 a) (/ (pow b_2 2) c)))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))>
#<alt (* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))>
#<alt (* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))>
#<alt (* -1 (* a c))>
#<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 (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 (+ (* -1 c) (/ (pow b_2 2) a)))>
#<alt (* a (+ (* -1 c) (/ (pow b_2 2) a)))>
#<alt (* a (+ (* -1 c) (/ (pow b_2 2) a)))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))>
#<alt (* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))>
#<alt (* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)))))>
#<alt (* -1 (* c (+ (* -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)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))>
#<alt 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)) (pow (sqrt -1) 3)))>
#<alt (* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))>
#<alt (* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))))>
#<alt (* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (+ (* -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) (pow (sqrt -1) 3)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))>
#<alt b_2>
#<alt (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))>
#<alt (* -1 b_2)>
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#<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>
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#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))>
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#<alt (* (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)))) (+ (* 1/16 (* (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 (* -2 (/ b_2 a))>
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#<alt (* -2 b_2)>
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#<alt (* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))>
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#<alt (/ 2 a)>
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#<alt (/ 2 a)>
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#<alt (/ 2 a)>
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#<alt (* -1/2 c)>
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#<alt (* -1/2 c)>
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#<alt (* -1/2 c)>
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#<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)))))>
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#<alt (* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))>
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#<alt (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))>
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#<alt (/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))>
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#<alt (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)>
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#<alt (* -1/2 c)>
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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)))>
#<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)))>
#<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)))>
#<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)))>
#<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)))>
#<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)))>
#<alt (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))>
#<alt (* (pow 1 1/4) (sqrt (* a c)))>
#<alt (+ (* -1 b_2) (* (pow 1 1/4) (sqrt (* a c))))>
#<alt (+ (* b_2 (- (* 1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 3)))) 1)) (* (pow 1 1/4) (sqrt (* a c))))>
#<alt (+ (* b_2 (- (* (pow b_2 3) (+ (* -3/32 (* (pow 1 1/4) (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (pow b_2 4)))) (* 1/4 (* (pow 1 1/4) (sqrt (/ 1 (* (pow a 3) (pow c 3)))))))) 1)) (* (pow 1 1/4) (sqrt (* a c))))>
#<alt (* -1 b_2)>
#<alt 0>
#<alt (* 1/4 (/ (* (pow a 2) (pow c 2)) (pow b_2 3)))>
#<alt (* b_2 (+ (* -1/8 (/ (* (pow a 4) (pow c 4)) (pow b_2 8))) (+ (* 1/32 (/ (* (pow a 4) (pow c 4)) (pow b_2 8))) (* 1/4 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))>
#<alt (* -1 b_2)>
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#<alt (* -1 (* b_2 (+ 1 (* -1 (/ (+ (* -1 b_2) (+ (* -1/4 (/ (* (pow a 2) (pow c 2)) (pow b_2 3))) (+ (* -1/32 (/ (* (pow a 4) (pow c 4)) (pow b_2 7))) (* 1/8 (/ (* (pow a 4) (pow c 4)) (pow b_2 7)))))) b_2)))))>
#<alt (- (* (pow 1 1/4) b_2) b_2)>
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#<alt (- (+ (* (pow 1 1/4) b_2) (* (pow c 2) (+ (* 1/4 (* (pow 1 1/4) (/ (pow a 2) (pow b_2 3)))) (* (pow c 2) (+ (* (pow 1 1/4) (* b_2 (* (pow c 2) (+ (* -1/32 (/ (pow a 6) (pow b_2 12))) (+ (* 1/384 (/ (pow a 6) (pow b_2 12))) (* 1/12 (/ (pow a 6) (pow b_2 12)))))))) (* (pow 1 1/4) (* b_2 (+ (* -1/8 (/ (pow a 4) (pow b_2 8))) (* 1/32 (/ (pow a 4) (pow b_2 8))))))))))) b_2)>
#<alt (- (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) b_2)>
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#<alt (- (+ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) (+ (* -1/8 (/ (pow b_2 8) (pow a 4))) (* 1/32 (/ (pow b_2 8) (pow a 4))))) (pow c 4)))) b_2)>
#<alt (- (+ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) (+ (* -1/8 (/ (pow b_2 8) (pow a 4))) (* 1/32 (/ (pow b_2 8) (pow a 4))))) (pow c 4)) (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) (+ (* -1/32 (/ (pow b_2 12) (pow a 6))) (+ (* 1/384 (/ (pow b_2 12) (pow a 6))) (* 1/12 (/ (pow b_2 12) (pow a 6)))))) (pow c 6))))) b_2)>
#<alt (- (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) b_2)>
#<alt (- (+ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2))))) b_2)>
#<alt (- (+ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) (+ (* -1/8 (/ (pow b_2 8) (pow a 4))) (* 1/32 (/ (pow b_2 8) (pow a 4))))) (pow c 4)))) b_2)>
#<alt (- (+ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) (+ (* -1/8 (/ (pow b_2 8) (pow a 4))) (* 1/32 (/ (pow b_2 8) (pow a 4))))) (pow c 4)) (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) (+ (* -1/32 (/ (pow b_2 12) (pow a 6))) (+ (* 1/384 (/ (pow b_2 12) (pow a 6))) (* 1/12 (/ (pow b_2 12) (pow a 6)))))) (pow c 6))))) b_2)>
#<alt (- (* (pow 1 1/4) b_2) b_2)>
#<alt (- (+ (* 1/4 (* (pow 1 1/4) (/ (* (pow a 2) (pow c 2)) (pow b_2 3)))) (* (pow 1 1/4) b_2)) b_2)>
#<alt (- (+ (* (pow 1 1/4) b_2) (* (pow a 2) (+ (* 1/4 (* (pow 1 1/4) (/ (pow c 2) (pow b_2 3)))) (* (pow 1 1/4) (* (pow a 2) (* b_2 (+ (* -1/8 (/ (pow c 4) (pow b_2 8))) (* 1/32 (/ (pow c 4) (pow b_2 8)))))))))) b_2)>
#<alt (- (+ (* (pow 1 1/4) b_2) (* (pow a 2) (+ (* 1/4 (* (pow 1 1/4) (/ (pow c 2) (pow b_2 3)))) (* (pow a 2) (+ (* (pow 1 1/4) (* b_2 (+ (* -1/8 (/ (pow c 4) (pow b_2 8))) (* 1/32 (/ (pow c 4) (pow b_2 8)))))) (* (pow 1 1/4) (* (pow a 2) (* b_2 (+ (* -1/32 (/ (pow c 6) (pow b_2 12))) (+ (* 1/384 (/ (pow c 6) (pow b_2 12))) (* 1/12 (/ (pow c 6) (pow b_2 12))))))))))))) b_2)>
#<alt (- (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) b_2)>
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#<alt (- (+ (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) (+ (* -1/8 (/ (pow b_2 8) (pow c 4))) (* 1/32 (/ (pow b_2 8) (pow c 4))))) (pow a 4)))) b_2)>
#<alt (- (+ (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) (+ (* -1/8 (/ (pow b_2 8) (pow c 4))) (* 1/32 (/ (pow b_2 8) (pow c 4))))) (pow a 4)) (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) (+ (* -1/32 (/ (pow b_2 12) (pow c 6))) (+ (* 1/384 (/ (pow b_2 12) (pow c 6))) (* 1/12 (/ (pow b_2 12) (pow c 6)))))) (pow a 6))))) b_2)>
#<alt (- (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) b_2)>
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#<alt (- (+ (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) (+ (* -1/8 (/ (pow b_2 8) (pow c 4))) (* 1/32 (/ (pow b_2 8) (pow c 4))))) (pow a 4)))) b_2)>
#<alt (- (+ (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) (+ (* -1/8 (/ (pow b_2 8) (pow c 4))) (* 1/32 (/ (pow b_2 8) (pow c 4))))) (pow a 4)) (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) (+ (* -1/32 (/ (pow b_2 12) (pow c 6))) (+ (* 1/384 (/ (pow b_2 12) (pow c 6))) (* 1/12 (/ (pow b_2 12) (pow c 6)))))) (pow a 6))))) b_2)>
#<alt (* (pow 1 1/4) (sqrt (/ c a)))>
#<alt (+ (* -1 (/ b_2 a)) (* (pow 1 1/4) (sqrt (/ c a))))>
#<alt (+ (* b_2 (- (* 1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 3)))) (/ 1 a))) (* (pow 1 1/4) (sqrt (/ c a))))>
#<alt (+ (* b_2 (- (* (pow b_2 3) (+ (* -3/32 (* (pow 1 1/4) (* (sqrt (/ 1 (* (pow a 9) (pow c 7)))) (pow b_2 4)))) (* 1/4 (* (pow 1 1/4) (sqrt (/ 1 (* (pow a 5) (pow c 3)))))))) (/ 1 a))) (* (pow 1 1/4) (sqrt (/ c a))))>
#<alt (* -1 (/ b_2 a))>
#<alt 0>
#<alt (* 1/4 (/ (* a (pow c 2)) (pow b_2 3)))>
#<alt (* b_2 (+ (* -1/8 (/ (* (pow a 3) (pow c 4)) (pow b_2 8))) (+ (* 1/32 (/ (* (pow a 3) (pow c 4)) (pow b_2 8))) (* 1/4 (/ (* a (pow c 2)) (pow b_2 4))))))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/4 (/ (* a (pow c 2)) (pow b_2 3)))) b_2)) (/ 1 a))))>
#<alt (* -1 (* b_2 (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (+ (* -1/4 (/ (* a (pow c 2)) (pow b_2 3))) (+ (* -1/32 (/ (* (pow a 3) (pow c 4)) (pow b_2 7))) (* 1/8 (/ (* (pow a 3) (pow c 4)) (pow b_2 7)))))) b_2)) (/ 1 a))))>
#<alt (/ (- (* (pow 1 1/4) b_2) b_2) a)>
#<alt (- (+ (* 1/4 (* (pow 1 1/4) (/ (* a (pow c 2)) (pow b_2 3)))) (* (pow 1 1/4) (/ b_2 a))) (/ b_2 a))>
#<alt (- (+ (* (pow 1 1/4) (/ b_2 a)) (* (pow c 2) (+ (* 1/4 (* (pow 1 1/4) (/ a (pow b_2 3)))) (* (pow 1 1/4) (/ (* b_2 (* (pow c 2) (+ (* -1/8 (/ (pow a 4) (pow b_2 8))) (* 1/32 (/ (pow a 4) (pow b_2 8)))))) a))))) (/ b_2 a))>
#<alt (- (+ (* (pow 1 1/4) (/ b_2 a)) (* (pow c 2) (+ (* 1/4 (* (pow 1 1/4) (/ a (pow b_2 3)))) (* (pow c 2) (+ (* (pow 1 1/4) (/ (* b_2 (* (pow c 2) (+ (* -1/32 (/ (pow a 6) (pow b_2 12))) (+ (* 1/384 (/ (pow a 6) (pow b_2 12))) (* 1/12 (/ (pow a 6) (pow b_2 12))))))) a)) (* (pow 1 1/4) (/ (* b_2 (+ (* -1/8 (/ (pow a 4) (pow b_2 8))) (* 1/32 (/ (pow a 4) (pow b_2 8))))) a))))))) (/ b_2 a))>
#<alt (/ (- (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) b_2) a)>
#<alt (- (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c))))))) (* (pow a 3) (pow c 2)))) (/ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) a)) (/ b_2 a))>
#<alt (- (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c))))))) (* (pow a 3) (pow c 2)))) (+ (/ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) a) (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) (+ (* -1/8 (/ (pow b_2 8) (pow a 4))) (* 1/32 (/ (pow b_2 8) (pow a 4))))) (* a (pow c 4))))) (/ b_2 a))>
#<alt (- (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c))))))) (* (pow a 3) (pow c 2)))) (+ (/ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) a) (+ (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) (+ (* -1/8 (/ (pow b_2 8) (pow a 4))) (* 1/32 (/ (pow b_2 8) (pow a 4))))) (* a (pow c 4))) (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) (+ (* -1/32 (/ (pow b_2 12) (pow a 6))) (+ (* 1/384 (/ (pow b_2 12) (pow a 6))) (* 1/12 (/ (pow b_2 12) (pow a 6)))))) (* a (pow c 6)))))) (/ b_2 a))>
#<alt (/ (- (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) b_2) a)>
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#<alt (- (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c))))))) (* (pow a 3) (pow c 2)))) (+ (/ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) a) (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) (+ (* -1/8 (/ (pow b_2 8) (pow a 4))) (* 1/32 (/ (pow b_2 8) (pow a 4))))) (* a (pow c 4))))) (/ b_2 a))>
#<alt (- (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c))))))) (* (pow a 3) (pow c 2)))) (+ (/ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) a) (+ (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) (+ (* -1/8 (/ (pow b_2 8) (pow a 4))) (* 1/32 (/ (pow b_2 8) (pow a 4))))) (* a (pow c 4))) (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) (+ (* -1/32 (/ (pow b_2 12) (pow a 6))) (+ (* 1/384 (/ (pow b_2 12) (pow a 6))) (* 1/12 (/ (pow b_2 12) (pow a 6)))))) (* a (pow c 6)))))) (/ b_2 a))>
#<alt (/ (- (* (pow 1 1/4) b_2) b_2) a)>
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#<alt (/ (- (+ (* (pow 1 1/4) b_2) (* (pow a 2) (+ (* 1/4 (* (pow 1 1/4) (/ (pow c 2) (pow b_2 3)))) (* (pow a 2) (+ (* (pow 1 1/4) (* b_2 (+ (* -1/8 (/ (pow c 4) (pow b_2 8))) (* 1/32 (/ (pow c 4) (pow b_2 8)))))) (* (pow 1 1/4) (* (pow a 2) (* b_2 (+ (* -1/32 (/ (pow c 6) (pow b_2 12))) (+ (* 1/384 (/ (pow c 6) (pow b_2 12))) (* 1/12 (/ (pow c 6) (pow b_2 12))))))))))))) b_2) a)>
#<alt (/ (- (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) b_2) a)>
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#<alt (/ (- (+ (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) (+ (* -1/8 (/ (pow b_2 8) (pow c 4))) (* 1/32 (/ (pow b_2 8) (pow c 4))))) (pow a 4)))) b_2) a)>
#<alt (/ (- (+ (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) (+ (* -1/8 (/ (pow b_2 8) (pow c 4))) (* 1/32 (/ (pow b_2 8) (pow c 4))))) (pow a 4)) (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) (+ (* -1/32 (/ (pow b_2 12) (pow c 6))) (+ (* 1/384 (/ (pow b_2 12) (pow c 6))) (* 1/12 (/ (pow b_2 12) (pow c 6)))))) (pow a 6))))) b_2) a)>
#<alt (/ (- (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) b_2) a)>
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#<alt (* -1 (/ (+ (* -1 (- (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) b_2)) (+ (* -1 (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) (+ (* -1/8 (/ (pow b_2 8) (pow c 4))) (* 1/32 (/ (pow b_2 8) (pow c 4))))) (pow a 4))) (* -1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2)))))) a))>
#<alt (* -1 (/ (+ (* -1 (- (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) b_2)) (+ (* -1 (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) (+ (* -1/8 (/ (pow b_2 8) (pow c 4))) (* 1/32 (/ (pow b_2 8) (pow c 4))))) (pow a 4))) (+ (* -1 (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) (+ (* -1/32 (/ (pow b_2 12) (pow c 6))) (+ (* 1/384 (/ (pow b_2 12) (pow c 6))) (* 1/12 (/ (pow b_2 12) (pow c 6)))))) (pow a 6))) (* -1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2))))))) a))>
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#<alt (+ (* (pow 1 1/4) (sqrt (* a c))) (* (pow b_2 4) (+ (* 1/4 (* (pow 1 1/4) (sqrt (/ 1 (* (pow a 3) (pow c 3)))))) (* (pow b_2 4) (+ (* -3/32 (* (pow 1 1/4) (sqrt (/ 1 (* (pow a 7) (pow c 7)))))) (* 7/128 (* (pow 1 1/4) (* (sqrt (/ 1 (* (pow a 11) (pow c 11)))) (pow b_2 4)))))))))>
#<alt b_2>
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#<alt (+ b_2 (+ (* -1/8 (/ (* (pow a 4) (pow c 4)) (pow b_2 7))) (+ (* 1/32 (/ (* (pow a 4) (pow c 4)) (pow b_2 7))) (* 1/4 (/ (* (pow a 2) (pow c 2)) (pow b_2 3))))))>
#<alt (+ b_2 (+ (* -1/8 (/ (* (pow a 4) (pow c 4)) (pow b_2 7))) (+ (* -1/32 (/ (* (pow a 6) (pow c 6)) (pow b_2 11))) (+ (* 1/384 (/ (* (pow a 6) (pow c 6)) (pow b_2 11))) (+ (* 1/32 (/ (* (pow a 4) (pow c 4)) (pow b_2 7))) (+ (* 1/12 (/ (* (pow a 6) (pow c 6)) (pow b_2 11))) (* 1/4 (/ (* (pow a 2) (pow c 2)) (pow b_2 3)))))))))>
#<alt (* -1 b_2)>
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#<alt (+ (* -1 b_2) (+ (* -1 (/ (+ (* -1/8 (* (pow a 4) (pow c 4))) (* 1/32 (* (pow a 4) (pow c 4)))) (pow b_2 7))) (+ (* -1 (/ (+ (* -1/32 (* (pow a 6) (pow c 6))) (+ (* 1/384 (* (pow a 6) (pow c 6))) (* 1/12 (* (pow a 6) (pow c 6))))) (pow b_2 11))) (* -1/4 (/ (* (pow a 2) (pow c 2)) (pow b_2 3))))))>
#<alt (* (pow 1 1/4) b_2)>
#<alt (+ (* 1/4 (* (pow 1 1/4) (/ (* (pow a 2) (pow c 2)) (pow b_2 3)))) (* (pow 1 1/4) b_2))>
#<alt (+ (* (pow 1 1/4) b_2) (* (pow c 2) (+ (* 1/4 (* (pow 1 1/4) (/ (pow a 2) (pow b_2 3)))) (* (pow 1 1/4) (* b_2 (* (pow c 2) (+ (* -1/8 (/ (pow a 4) (pow b_2 8))) (* 1/32 (/ (pow a 4) (pow b_2 8))))))))))>
#<alt (+ (* (pow 1 1/4) b_2) (* (pow c 2) (+ (* 1/4 (* (pow 1 1/4) (/ (pow a 2) (pow b_2 3)))) (* (pow c 2) (+ (* (pow 1 1/4) (* b_2 (* (pow c 2) (+ (* -1/32 (/ (pow a 6) (pow b_2 12))) (+ (* 1/384 (/ (pow a 6) (pow b_2 12))) (* 1/12 (/ (pow a 6) (pow b_2 12)))))))) (* (pow 1 1/4) (* b_2 (+ (* -1/8 (/ (pow a 4) (pow b_2 8))) (* 1/32 (/ (pow a 4) (pow b_2 8)))))))))))>
#<alt (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c))))))>
#<alt (+ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2)))))>
#<alt (+ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) (+ (* -1/8 (/ (pow b_2 8) (pow a 4))) (* 1/32 (/ (pow b_2 8) (pow a 4))))) (pow c 4))))>
#<alt (+ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) (+ (* -1/8 (/ (pow b_2 8) (pow a 4))) (* 1/32 (/ (pow b_2 8) (pow a 4))))) (pow c 4)) (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) (+ (* -1/32 (/ (pow b_2 12) (pow a 6))) (+ (* 1/384 (/ (pow b_2 12) (pow a 6))) (* 1/12 (/ (pow b_2 12) (pow a 6)))))) (pow c 6)))))>
#<alt (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c))))))>
#<alt (+ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2)))))>
#<alt (+ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) (+ (* -1/8 (/ (pow b_2 8) (pow a 4))) (* 1/32 (/ (pow b_2 8) (pow a 4))))) (pow c 4))))>
#<alt (+ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) (+ (* -1/8 (/ (pow b_2 8) (pow a 4))) (* 1/32 (/ (pow b_2 8) (pow a 4))))) (pow c 4)) (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) (+ (* -1/32 (/ (pow b_2 12) (pow a 6))) (+ (* 1/384 (/ (pow b_2 12) (pow a 6))) (* 1/12 (/ (pow b_2 12) (pow a 6)))))) (pow c 6)))))>
#<alt (* (pow 1 1/4) b_2)>
#<alt (+ (* 1/4 (* (pow 1 1/4) (/ (* (pow a 2) (pow c 2)) (pow b_2 3)))) (* (pow 1 1/4) b_2))>
#<alt (+ (* (pow 1 1/4) b_2) (* (pow a 2) (+ (* 1/4 (* (pow 1 1/4) (/ (pow c 2) (pow b_2 3)))) (* (pow 1 1/4) (* (pow a 2) (* b_2 (+ (* -1/8 (/ (pow c 4) (pow b_2 8))) (* 1/32 (/ (pow c 4) (pow b_2 8))))))))))>
#<alt (+ (* (pow 1 1/4) b_2) (* (pow a 2) (+ (* 1/4 (* (pow 1 1/4) (/ (pow c 2) (pow b_2 3)))) (* (pow a 2) (+ (* (pow 1 1/4) (* b_2 (+ (* -1/8 (/ (pow c 4) (pow b_2 8))) (* 1/32 (/ (pow c 4) (pow b_2 8)))))) (* (pow 1 1/4) (* (pow a 2) (* b_2 (+ (* -1/32 (/ (pow c 6) (pow b_2 12))) (+ (* 1/384 (/ (pow c 6) (pow b_2 12))) (* 1/12 (/ (pow c 6) (pow b_2 12)))))))))))))>
#<alt (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a))))))>
#<alt (+ (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a))))))) (* (pow a 2) (pow c 2)))))>
#<alt (+ (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) (+ (* -1/8 (/ (pow b_2 8) (pow c 4))) (* 1/32 (/ (pow b_2 8) (pow c 4))))) (pow a 4))))>
#<alt (+ (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) (+ (* -1/8 (/ (pow b_2 8) (pow c 4))) (* 1/32 (/ (pow b_2 8) (pow c 4))))) (pow a 4)) (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) (+ (* -1/32 (/ (pow b_2 12) (pow c 6))) (+ (* 1/384 (/ (pow b_2 12) (pow c 6))) (* 1/12 (/ (pow b_2 12) (pow c 6)))))) (pow a 6)))))>
#<alt (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a))))))>
#<alt (+ (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2)))))>
#<alt (+ (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) (+ (* -1/8 (/ (pow b_2 8) (pow c 4))) (* 1/32 (/ (pow b_2 8) (pow c 4))))) (pow a 4))))>
#<alt (+ (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) (+ (* -1/8 (/ (pow b_2 8) (pow c 4))) (* 1/32 (/ (pow b_2 8) (pow c 4))))) (pow a 4)) (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) (+ (* -1/32 (/ (pow b_2 12) (pow c 6))) (+ (* 1/384 (/ (pow b_2 12) (pow c 6))) (* 1/12 (/ (pow b_2 12) (pow c 6)))))) (pow a 6)))))>
#<alt (* (pow a 2) (pow c 2))>
#<alt (+ (* (pow a 2) (pow c 2)) (pow b_2 4))>
#<alt (+ (* (pow a 2) (pow c 2)) (pow b_2 4))>
#<alt (+ (* (pow a 2) (pow c 2)) (pow b_2 4))>
#<alt (pow b_2 4)>
#<alt (* (pow b_2 4) (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))>
#<alt (* (pow b_2 4) (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))>
#<alt (* (pow b_2 4) (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))>
#<alt (pow b_2 4)>
#<alt (* (pow b_2 4) (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))>
#<alt (* (pow b_2 4) (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))>
#<alt (* (pow b_2 4) (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))>
#<alt (pow b_2 4)>
#<alt (+ (* (pow a 2) (pow c 2)) (pow b_2 4))>
#<alt (+ (* (pow a 2) (pow c 2)) (pow b_2 4))>
#<alt (+ (* (pow a 2) (pow c 2)) (pow b_2 4))>
#<alt (* (pow a 2) (pow c 2))>
#<alt (* (pow c 2) (+ (/ (pow b_2 4) (pow c 2)) (pow a 2)))>
#<alt (* (pow c 2) (+ (/ (pow b_2 4) (pow c 2)) (pow a 2)))>
#<alt (* (pow c 2) (+ (/ (pow b_2 4) (pow c 2)) (pow a 2)))>
#<alt (* (pow a 2) (pow c 2))>
#<alt (* (pow c 2) (+ (/ (pow b_2 4) (pow c 2)) (pow a 2)))>
#<alt (* (pow c 2) (+ (/ (pow b_2 4) (pow c 2)) (pow a 2)))>
#<alt (* (pow c 2) (+ (/ (pow b_2 4) (pow c 2)) (pow a 2)))>
#<alt (pow b_2 4)>
#<alt (+ (* (pow a 2) (pow c 2)) (pow b_2 4))>
#<alt (+ (* (pow a 2) (pow c 2)) (pow b_2 4))>
#<alt (+ (* (pow a 2) (pow c 2)) (pow b_2 4))>
#<alt (* (pow a 2) (pow c 2))>
#<alt (* (pow a 2) (+ (/ (pow b_2 4) (pow a 2)) (pow c 2)))>
#<alt (* (pow a 2) (+ (/ (pow b_2 4) (pow a 2)) (pow c 2)))>
#<alt (* (pow a 2) (+ (/ (pow b_2 4) (pow a 2)) (pow c 2)))>
#<alt (* (pow a 2) (pow c 2))>
#<alt (* (pow a 2) (+ (/ (pow b_2 4) (pow a 2)) (pow c 2)))>
#<alt (* (pow a 2) (+ (/ (pow b_2 4) (pow a 2)) (pow c 2)))>
#<alt (* (pow a 2) (+ (/ (pow b_2 4) (pow a 2)) (pow c 2)))>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 2) c)>
#<alt (/ (pow b_2 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 (* -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 (* -1/8 (* 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 (* -1/8 (* 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 (* (pow a 2) (pow c 2))>
#<alt (* (pow a 2) (pow c 2))>
#<alt (* (pow a 2) (pow c 2))>
#<alt (* (pow a 2) (pow c 2))>
#<alt (* (pow a 2) (pow c 2))>
#<alt (* (pow a 2) (pow c 2))>
#<alt (* (pow a 2) (pow c 2))>
#<alt (* (pow a 2) (pow c 2))>
#<alt (* (pow a 2) (pow c 2))>
#<alt (* (pow a 2) (pow c 2))>
#<alt (* (pow a 2) (pow c 2))>
#<alt (* (pow a 2) (pow c 2))>
#<alt (* (pow a 2) (pow c 2))>
#<alt (* (pow a 2) (pow c 2))>
#<alt (* (pow a 2) (pow c 2))>
#<alt (* (pow a 2) (pow c 2))>
#<alt (* (pow a 2) (pow c 2))>
#<alt (* (pow a 2) (pow c 2))>
#<alt (* (pow a 2) (pow c 2))>
#<alt (* (pow a 2) (pow c 2))>
#<alt (* (pow a 2) (pow c 2))>
#<alt (* (pow a 2) (pow c 2))>
#<alt (* (pow a 2) (pow c 2))>
#<alt (* (pow a 2) (pow c 2))>

Calls

168 calls:

Time	Variable		Point	Expression
14.0ms	a	@	inf	(* -1/8 (* a (* c c)))
9.0ms	b_2	@	0	(pow (+ (* b_2 (* b_2 (* b_2 b_2))) (* c (* a (* a c)))) 1/4)
5.0ms	a	@	-inf	(/ (* -1/8 (* a (* c c))) (* b_2 b_2))
4.0ms	b_2	@	inf	(+ (neg b_2) (pow (+ (* b_2 (* b_2 (* b_2 b_2))) (* c (* a (* a c)))) 1/4))
3.0ms	c	@	-inf	(* b_2 (+ (/ (/ (* c -1/2) b_2) b_2) (/ 2 a)))

rewrite392.0ms (3.2%)

Memory

-1.4MiB live, 806.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 786×	`accelerator-lowering-fma.f32`
4 786×	`accelerator-lowering-fma.f64`
4 734×	`/-lowering-/.f32`
4 734×	`/-lowering-/.f64`
4 498×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	236
1	247	214
2	2389	214
0	8171	209

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 980

Calls

Call 1

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

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

simplify582.0ms (4.8%)

Memory

7.8MiB live, 990.0MiB allocated

Algorithm

1×	egg-herbie

Rules

11 422×	`accelerator-lowering-fma.f32`
11 422×	`accelerator-lowering-fma.f64`
7 482×	`-lowering-.f32`
7 482×	`-lowering-.f64`
5 756×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1040	11675
1	3399	11060
0	8497	10546

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 672

Calls

Call 1

Inputs
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(* -1/2 (/ (* a c) b_2))
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1/2 (/ (* a c) b_2))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))
(* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 3)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 4) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 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)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(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 (+ (* -1 a) (/ (pow b_2 2) c)))
(* c (+ (* -1 a) (/ (pow b_2 2) c)))
(* c (+ (* -1 a) (/ (pow b_2 2) c)))
(* -1 (* a c))
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))
(* -1 (* a c))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -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)
(* (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 (+ (* -1 c) (/ (pow b_2 2) a)))
(* a (+ (* -1 c) (/ (pow b_2 2) a)))
(* a (+ (* -1 c) (/ (pow b_2 2) a)))
(* -1 (* a c))
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1/2 (/ c b_2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -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)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
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)) (pow (sqrt -1) 3)))
(* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))))
(* -1 (* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (+ (* -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) (pow (sqrt -1) 3)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* 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)))))))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* 1/2 (/ c b_2))
(/ (- (* -2 (/ (pow b_2 2) a)) (* -1/2 c)) b_2)
(/ (- (* -2 (/ (pow b_2 2) a)) (* -1/2 c)) b_2)
(/ (- (* -2 (/ (pow b_2 2) a)) (* -1/2 c)) b_2)
(* -2 (/ b_2 a))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -2 (/ b_2 a))
(- (* 1/2 (/ c b_2)) (* 2 (/ b_2 a)))
(- (* 1/2 (/ c b_2)) (* 2 (/ b_2 a)))
(- (* 1/2 (/ c b_2)) (* 2 (/ b_2 a)))
(* 1/2 (/ c b_2))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* 1/2 (/ c b_2))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -2 (/ b_2 a))
(/ (- (* 1/2 (/ (* a c) b_2)) (* 2 b_2)) a)
(/ (- (* 1/2 (/ (* a c) b_2)) (* 2 b_2)) a)
(/ (- (* 1/2 (/ (* a c) b_2)) (* 2 b_2)) a)
(* 1/2 (/ c b_2))
(- (* -2 (/ b_2 a)) (* -1/2 (/ c b_2)))
(- (* -2 (/ b_2 a)) (* -1/2 (/ c b_2)))
(- (* -2 (/ b_2 a)) (* -1/2 (/ c b_2)))
(* 1/2 (/ c b_2))
(- (* -2 (/ b_2 a)) (* -1/2 (/ c b_2)))
(- (* -2 (/ b_2 a)) (* -1/2 (/ c b_2)))
(- (* -2 (/ b_2 a)) (* -1/2 (/ c b_2)))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) b_2)
(/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) b_2)
(/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) b_2)
(* 2 (/ b_2 a))
(* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* 2 (/ b_2 a))
(* -1 (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* 2 (/ b_2 a))
(+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))
(+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))
(+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))
(* -1/2 (/ c b_2))
(* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* -1/2 (/ c b_2))
(* -1 (* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* 2 (/ b_2 a))
(/ (+ (* -1/2 (/ (* a c) b_2)) (* 2 b_2)) a)
(/ (+ (* -1/2 (/ (* a c) b_2)) (* 2 b_2)) a)
(/ (+ (* -1/2 (/ (* a c) b_2)) (* 2 b_2)) a)
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))
(+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))
(+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))
(+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))
(+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a)))
(/ 2 a)
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(* -1/2 (/ c (pow b_2 2)))
(* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))
(* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))
(* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))
(* -1/2 (/ c (pow b_2 2)))
(* -1 (* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c))))))
(* -1 (* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c))))))
(* -1 (* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c))))))
(* -1/2 (/ c (pow b_2 2)))
(/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2))
(/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2))
(/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2))
(/ 2 a)
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(/ 2 a)
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(/ 2 a)
(/ (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))) a)
(/ (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))) a)
(/ (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))) a)
(* -1/2 (/ c (pow b_2 2)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(* -1/2 (/ c (pow b_2 2)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 (/ c (pow b_2 2)))
(* -1/2 c)
(* c (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
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(* (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))))
(* -1/2 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))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* a (+ (* -1/2 (/ c a)) (* -1/8 (/ (pow c 2) (pow b_2 2)))))
(* a (+ (* -1/2 (/ c a)) (* -1/8 (/ (pow c 2) (pow b_2 2)))))
(* a (+ (* -1/2 (/ c a)) (* -1/8 (/ (pow c 2) (pow b_2 2)))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 2))) (* 1/2 (/ c a)))))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 2))) (* 1/2 (/ c a)))))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 2))) (* 1/2 (/ c a)))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 2))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 2))
(/ (+ (* -1/2 (* (pow b_2 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)
(+ (* -1/2 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 b_2))
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(* 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)))))
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(* (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)))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
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(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))
(* -1/8 (/ (* a (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)
(* -1/2 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)
(* -1/8 (/ (* 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)))
(* (pow 1 1/4) (sqrt (* a c)))
(+ (* -1 b_2) (* (pow 1 1/4) (sqrt (* a c))))
(+ (* b_2 (- (* 1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 3)))) 1)) (* (pow 1 1/4) (sqrt (* a c))))
(+ (* b_2 (- (* (pow b_2 3) (+ (* -3/32 (* (pow 1 1/4) (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (pow b_2 4)))) (* 1/4 (* (pow 1 1/4) (sqrt (/ 1 (* (pow a 3) (pow c 3)))))))) 1)) (* (pow 1 1/4) (sqrt (* a c))))
(* -1 b_2)
0
(* 1/4 (/ (* (pow a 2) (pow c 2)) (pow b_2 3)))
(* b_2 (+ (* -1/8 (/ (* (pow a 4) (pow c 4)) (pow b_2 8))) (+ (* 1/32 (/ (* (pow a 4) (pow c 4)) (pow b_2 8))) (* 1/4 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* -1 b_2)
(* -2 b_2)
(* -1 (* b_2 (+ 1 (* -1 (/ (+ (* -1 b_2) (* -1/4 (/ (* (pow a 2) (pow c 2)) (pow b_2 3)))) b_2)))))
(* -1 (* b_2 (+ 1 (* -1 (/ (+ (* -1 b_2) (+ (* -1/4 (/ (* (pow a 2) (pow c 2)) (pow b_2 3))) (+ (* -1/32 (/ (* (pow a 4) (pow c 4)) (pow b_2 7))) (* 1/8 (/ (* (pow a 4) (pow c 4)) (pow b_2 7)))))) b_2)))))
(- (* (pow 1 1/4) b_2) b_2)
(- (+ (* 1/4 (* (pow 1 1/4) (/ (* (pow a 2) (pow c 2)) (pow b_2 3)))) (* (pow 1 1/4) b_2)) b_2)
(- (+ (* (pow 1 1/4) b_2) (* (pow c 2) (+ (* 1/4 (* (pow 1 1/4) (/ (pow a 2) (pow b_2 3)))) (* (pow 1 1/4) (* b_2 (* (pow c 2) (+ (* -1/8 (/ (pow a 4) (pow b_2 8))) (* 1/32 (/ (pow a 4) (pow b_2 8)))))))))) b_2)
(- (+ (* (pow 1 1/4) b_2) (* (pow c 2) (+ (* 1/4 (* (pow 1 1/4) (/ (pow a 2) (pow b_2 3)))) (* (pow c 2) (+ (* (pow 1 1/4) (* b_2 (* (pow c 2) (+ (* -1/32 (/ (pow a 6) (pow b_2 12))) (+ (* 1/384 (/ (pow a 6) (pow b_2 12))) (* 1/12 (/ (pow a 6) (pow b_2 12)))))))) (* (pow 1 1/4) (* b_2 (+ (* -1/8 (/ (pow a 4) (pow b_2 8))) (* 1/32 (/ (pow a 4) (pow b_2 8))))))))))) b_2)
(- (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) b_2)
(- (+ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2))))) b_2)
(- (+ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) (+ (* -1/8 (/ (pow b_2 8) (pow a 4))) (* 1/32 (/ (pow b_2 8) (pow a 4))))) (pow c 4)))) b_2)
(- (+ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) (+ (* -1/8 (/ (pow b_2 8) (pow a 4))) (* 1/32 (/ (pow b_2 8) (pow a 4))))) (pow c 4)) (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) (+ (* -1/32 (/ (pow b_2 12) (pow a 6))) (+ (* 1/384 (/ (pow b_2 12) (pow a 6))) (* 1/12 (/ (pow b_2 12) (pow a 6)))))) (pow c 6))))) b_2)
(- (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) b_2)
(- (+ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2))))) b_2)
(- (+ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) (+ (* -1/8 (/ (pow b_2 8) (pow a 4))) (* 1/32 (/ (pow b_2 8) (pow a 4))))) (pow c 4)))) b_2)
(- (+ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) (+ (* -1/8 (/ (pow b_2 8) (pow a 4))) (* 1/32 (/ (pow b_2 8) (pow a 4))))) (pow c 4)) (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) (+ (* -1/32 (/ (pow b_2 12) (pow a 6))) (+ (* 1/384 (/ (pow b_2 12) (pow a 6))) (* 1/12 (/ (pow b_2 12) (pow a 6)))))) (pow c 6))))) b_2)
(- (* (pow 1 1/4) b_2) b_2)
(- (+ (* 1/4 (* (pow 1 1/4) (/ (* (pow a 2) (pow c 2)) (pow b_2 3)))) (* (pow 1 1/4) b_2)) b_2)
(- (+ (* (pow 1 1/4) b_2) (* (pow a 2) (+ (* 1/4 (* (pow 1 1/4) (/ (pow c 2) (pow b_2 3)))) (* (pow 1 1/4) (* (pow a 2) (* b_2 (+ (* -1/8 (/ (pow c 4) (pow b_2 8))) (* 1/32 (/ (pow c 4) (pow b_2 8)))))))))) b_2)
(- (+ (* (pow 1 1/4) b_2) (* (pow a 2) (+ (* 1/4 (* (pow 1 1/4) (/ (pow c 2) (pow b_2 3)))) (* (pow a 2) (+ (* (pow 1 1/4) (* b_2 (+ (* -1/8 (/ (pow c 4) (pow b_2 8))) (* 1/32 (/ (pow c 4) (pow b_2 8)))))) (* (pow 1 1/4) (* (pow a 2) (* b_2 (+ (* -1/32 (/ (pow c 6) (pow b_2 12))) (+ (* 1/384 (/ (pow c 6) (pow b_2 12))) (* 1/12 (/ (pow c 6) (pow b_2 12))))))))))))) b_2)
(- (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) b_2)
(- (+ (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a))))))) (* (pow a 2) (pow c 2))))) b_2)
(- (+ (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) (+ (* -1/8 (/ (pow b_2 8) (pow c 4))) (* 1/32 (/ (pow b_2 8) (pow c 4))))) (pow a 4)))) b_2)
(- (+ (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) (+ (* -1/8 (/ (pow b_2 8) (pow c 4))) (* 1/32 (/ (pow b_2 8) (pow c 4))))) (pow a 4)) (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) (+ (* -1/32 (/ (pow b_2 12) (pow c 6))) (+ (* 1/384 (/ (pow b_2 12) (pow c 6))) (* 1/12 (/ (pow b_2 12) (pow c 6)))))) (pow a 6))))) b_2)
(- (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) b_2)
(- (+ (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2))))) b_2)
(- (+ (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) (+ (* -1/8 (/ (pow b_2 8) (pow c 4))) (* 1/32 (/ (pow b_2 8) (pow c 4))))) (pow a 4)))) b_2)
(- (+ (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) (+ (* -1/8 (/ (pow b_2 8) (pow c 4))) (* 1/32 (/ (pow b_2 8) (pow c 4))))) (pow a 4)) (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) (+ (* -1/32 (/ (pow b_2 12) (pow c 6))) (+ (* 1/384 (/ (pow b_2 12) (pow c 6))) (* 1/12 (/ (pow b_2 12) (pow c 6)))))) (pow a 6))))) b_2)
(* (pow 1 1/4) (sqrt (/ c a)))
(+ (* -1 (/ b_2 a)) (* (pow 1 1/4) (sqrt (/ c a))))
(+ (* b_2 (- (* 1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 3)))) (/ 1 a))) (* (pow 1 1/4) (sqrt (/ c a))))
(+ (* b_2 (- (* (pow b_2 3) (+ (* -3/32 (* (pow 1 1/4) (* (sqrt (/ 1 (* (pow a 9) (pow c 7)))) (pow b_2 4)))) (* 1/4 (* (pow 1 1/4) (sqrt (/ 1 (* (pow a 5) (pow c 3)))))))) (/ 1 a))) (* (pow 1 1/4) (sqrt (/ c a))))
(* -1 (/ b_2 a))
0
(* 1/4 (/ (* a (pow c 2)) (pow b_2 3)))
(* b_2 (+ (* -1/8 (/ (* (pow a 3) (pow c 4)) (pow b_2 8))) (+ (* 1/32 (/ (* (pow a 3) (pow c 4)) (pow b_2 8))) (* 1/4 (/ (* a (pow c 2)) (pow b_2 4))))))
(* -1 (/ b_2 a))
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/4 (/ (* a (pow c 2)) (pow b_2 3)))) b_2)) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (+ (* -1/4 (/ (* a (pow c 2)) (pow b_2 3))) (+ (* -1/32 (/ (* (pow a 3) (pow c 4)) (pow b_2 7))) (* 1/8 (/ (* (pow a 3) (pow c 4)) (pow b_2 7)))))) b_2)) (/ 1 a))))
(/ (- (* (pow 1 1/4) b_2) b_2) a)
(- (+ (* 1/4 (* (pow 1 1/4) (/ (* a (pow c 2)) (pow b_2 3)))) (* (pow 1 1/4) (/ b_2 a))) (/ b_2 a))
(- (+ (* (pow 1 1/4) (/ b_2 a)) (* (pow c 2) (+ (* 1/4 (* (pow 1 1/4) (/ a (pow b_2 3)))) (* (pow 1 1/4) (/ (* b_2 (* (pow c 2) (+ (* -1/8 (/ (pow a 4) (pow b_2 8))) (* 1/32 (/ (pow a 4) (pow b_2 8)))))) a))))) (/ b_2 a))
(- (+ (* (pow 1 1/4) (/ b_2 a)) (* (pow c 2) (+ (* 1/4 (* (pow 1 1/4) (/ a (pow b_2 3)))) (* (pow c 2) (+ (* (pow 1 1/4) (/ (* b_2 (* (pow c 2) (+ (* -1/32 (/ (pow a 6) (pow b_2 12))) (+ (* 1/384 (/ (pow a 6) (pow b_2 12))) (* 1/12 (/ (pow a 6) (pow b_2 12))))))) a)) (* (pow 1 1/4) (/ (* b_2 (+ (* -1/8 (/ (pow a 4) (pow b_2 8))) (* 1/32 (/ (pow a 4) (pow b_2 8))))) a))))))) (/ b_2 a))
(/ (- (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) b_2) a)
(- (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c))))))) (* (pow a 3) (pow c 2)))) (/ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) a)) (/ b_2 a))
(- (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c))))))) (* (pow a 3) (pow c 2)))) (+ (/ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) a) (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) (+ (* -1/8 (/ (pow b_2 8) (pow a 4))) (* 1/32 (/ (pow b_2 8) (pow a 4))))) (* a (pow c 4))))) (/ b_2 a))
(- (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c))))))) (* (pow a 3) (pow c 2)))) (+ (/ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) a) (+ (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) (+ (* -1/8 (/ (pow b_2 8) (pow a 4))) (* 1/32 (/ (pow b_2 8) (pow a 4))))) (* a (pow c 4))) (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) (+ (* -1/32 (/ (pow b_2 12) (pow a 6))) (+ (* 1/384 (/ (pow b_2 12) (pow a 6))) (* 1/12 (/ (pow b_2 12) (pow a 6)))))) (* a (pow c 6)))))) (/ b_2 a))
(/ (- (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) b_2) a)
(- (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c))))))) (* (pow a 3) (pow c 2)))) (/ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) a)) (/ b_2 a))
(- (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c))))))) (* (pow a 3) (pow c 2)))) (+ (/ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) a) (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) (+ (* -1/8 (/ (pow b_2 8) (pow a 4))) (* 1/32 (/ (pow b_2 8) (pow a 4))))) (* a (pow c 4))))) (/ b_2 a))
(- (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c))))))) (* (pow a 3) (pow c 2)))) (+ (/ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) a) (+ (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) (+ (* -1/8 (/ (pow b_2 8) (pow a 4))) (* 1/32 (/ (pow b_2 8) (pow a 4))))) (* a (pow c 4))) (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) (+ (* -1/32 (/ (pow b_2 12) (pow a 6))) (+ (* 1/384 (/ (pow b_2 12) (pow a 6))) (* 1/12 (/ (pow b_2 12) (pow a 6)))))) (* a (pow c 6)))))) (/ b_2 a))
(/ (- (* (pow 1 1/4) b_2) b_2) a)
(/ (- (+ (* 1/4 (* (pow 1 1/4) (/ (* (pow a 2) (pow c 2)) (pow b_2 3)))) (* (pow 1 1/4) b_2)) b_2) a)
(/ (- (+ (* (pow 1 1/4) b_2) (* (pow a 2) (+ (* 1/4 (* (pow 1 1/4) (/ (pow c 2) (pow b_2 3)))) (* (pow 1 1/4) (* (pow a 2) (* b_2 (+ (* -1/8 (/ (pow c 4) (pow b_2 8))) (* 1/32 (/ (pow c 4) (pow b_2 8)))))))))) b_2) a)
(/ (- (+ (* (pow 1 1/4) b_2) (* (pow a 2) (+ (* 1/4 (* (pow 1 1/4) (/ (pow c 2) (pow b_2 3)))) (* (pow a 2) (+ (* (pow 1 1/4) (* b_2 (+ (* -1/8 (/ (pow c 4) (pow b_2 8))) (* 1/32 (/ (pow c 4) (pow b_2 8)))))) (* (pow 1 1/4) (* (pow a 2) (* b_2 (+ (* -1/32 (/ (pow c 6) (pow b_2 12))) (+ (* 1/384 (/ (pow c 6) (pow b_2 12))) (* 1/12 (/ (pow c 6) (pow b_2 12))))))))))))) b_2) a)
(/ (- (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) b_2) a)
(/ (- (+ (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a))))))) (* (pow a 2) (pow c 2))))) b_2) a)
(/ (- (+ (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) (+ (* -1/8 (/ (pow b_2 8) (pow c 4))) (* 1/32 (/ (pow b_2 8) (pow c 4))))) (pow a 4)))) b_2) a)
(/ (- (+ (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) (+ (* -1/8 (/ (pow b_2 8) (pow c 4))) (* 1/32 (/ (pow b_2 8) (pow c 4))))) (pow a 4)) (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) (+ (* -1/32 (/ (pow b_2 12) (pow c 6))) (+ (* 1/384 (/ (pow b_2 12) (pow c 6))) (* 1/12 (/ (pow b_2 12) (pow c 6)))))) (pow a 6))))) b_2) a)
(/ (- (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) b_2) a)
(* -1 (/ (+ (* -1 (- (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) b_2)) (* -1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2))))) a))
(* -1 (/ (+ (* -1 (- (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) b_2)) (+ (* -1 (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) (+ (* -1/8 (/ (pow b_2 8) (pow c 4))) (* 1/32 (/ (pow b_2 8) (pow c 4))))) (pow a 4))) (* -1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2)))))) a))
(* -1 (/ (+ (* -1 (- (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) b_2)) (+ (* -1 (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) (+ (* -1/8 (/ (pow b_2 8) (pow c 4))) (* 1/32 (/ (pow b_2 8) (pow c 4))))) (pow a 4))) (+ (* -1 (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) (+ (* -1/32 (/ (pow b_2 12) (pow c 6))) (+ (* 1/384 (/ (pow b_2 12) (pow c 6))) (* 1/12 (/ (pow b_2 12) (pow c 6)))))) (pow a 6))) (* -1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2))))))) a))
(* (pow 1 1/4) (sqrt (* a c)))
(+ (* 1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 4)))) (* (pow 1 1/4) (sqrt (* a c))))
(+ (* (pow 1 1/4) (sqrt (* a c))) (* (pow b_2 4) (+ (* -3/32 (* (pow 1 1/4) (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (pow b_2 4)))) (* 1/4 (* (pow 1 1/4) (sqrt (/ 1 (* (pow a 3) (pow c 3)))))))))
(+ (* (pow 1 1/4) (sqrt (* a c))) (* (pow b_2 4) (+ (* 1/4 (* (pow 1 1/4) (sqrt (/ 1 (* (pow a 3) (pow c 3)))))) (* (pow b_2 4) (+ (* -3/32 (* (pow 1 1/4) (sqrt (/ 1 (* (pow a 7) (pow c 7)))))) (* 7/128 (* (pow 1 1/4) (* (sqrt (/ 1 (* (pow a 11) (pow c 11)))) (pow b_2 4)))))))))
b_2
(+ b_2 (* 1/4 (/ (* (pow a 2) (pow c 2)) (pow b_2 3))))
(+ b_2 (+ (* -1/8 (/ (* (pow a 4) (pow c 4)) (pow b_2 7))) (+ (* 1/32 (/ (* (pow a 4) (pow c 4)) (pow b_2 7))) (* 1/4 (/ (* (pow a 2) (pow c 2)) (pow b_2 3))))))
(+ b_2 (+ (* -1/8 (/ (* (pow a 4) (pow c 4)) (pow b_2 7))) (+ (* -1/32 (/ (* (pow a 6) (pow c 6)) (pow b_2 11))) (+ (* 1/384 (/ (* (pow a 6) (pow c 6)) (pow b_2 11))) (+ (* 1/32 (/ (* (pow a 4) (pow c 4)) (pow b_2 7))) (+ (* 1/12 (/ (* (pow a 6) (pow c 6)) (pow b_2 11))) (* 1/4 (/ (* (pow a 2) (pow c 2)) (pow b_2 3)))))))))
(* -1 b_2)
(+ (* -1 b_2) (* -1/4 (/ (* (pow a 2) (pow c 2)) (pow b_2 3))))
(+ (* -1 b_2) (+ (* -1 (/ (+ (* -1/8 (* (pow a 4) (pow c 4))) (* 1/32 (* (pow a 4) (pow c 4)))) (pow b_2 7))) (* -1/4 (/ (* (pow a 2) (pow c 2)) (pow b_2 3)))))
(+ (* -1 b_2) (+ (* -1 (/ (+ (* -1/8 (* (pow a 4) (pow c 4))) (* 1/32 (* (pow a 4) (pow c 4)))) (pow b_2 7))) (+ (* -1 (/ (+ (* -1/32 (* (pow a 6) (pow c 6))) (+ (* 1/384 (* (pow a 6) (pow c 6))) (* 1/12 (* (pow a 6) (pow c 6))))) (pow b_2 11))) (* -1/4 (/ (* (pow a 2) (pow c 2)) (pow b_2 3))))))
(* (pow 1 1/4) b_2)
(+ (* 1/4 (* (pow 1 1/4) (/ (* (pow a 2) (pow c 2)) (pow b_2 3)))) (* (pow 1 1/4) b_2))
(+ (* (pow 1 1/4) b_2) (* (pow c 2) (+ (* 1/4 (* (pow 1 1/4) (/ (pow a 2) (pow b_2 3)))) (* (pow 1 1/4) (* b_2 (* (pow c 2) (+ (* -1/8 (/ (pow a 4) (pow b_2 8))) (* 1/32 (/ (pow a 4) (pow b_2 8))))))))))
(+ (* (pow 1 1/4) b_2) (* (pow c 2) (+ (* 1/4 (* (pow 1 1/4) (/ (pow a 2) (pow b_2 3)))) (* (pow c 2) (+ (* (pow 1 1/4) (* b_2 (* (pow c 2) (+ (* -1/32 (/ (pow a 6) (pow b_2 12))) (+ (* 1/384 (/ (pow a 6) (pow b_2 12))) (* 1/12 (/ (pow a 6) (pow b_2 12)))))))) (* (pow 1 1/4) (* b_2 (+ (* -1/8 (/ (pow a 4) (pow b_2 8))) (* 1/32 (/ (pow a 4) (pow b_2 8)))))))))))
(exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c))))))
(+ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2)))))
(+ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) (+ (* -1/8 (/ (pow b_2 8) (pow a 4))) (* 1/32 (/ (pow b_2 8) (pow a 4))))) (pow c 4))))
(+ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) (+ (* -1/8 (/ (pow b_2 8) (pow a 4))) (* 1/32 (/ (pow b_2 8) (pow a 4))))) (pow c 4)) (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) (+ (* -1/32 (/ (pow b_2 12) (pow a 6))) (+ (* 1/384 (/ (pow b_2 12) (pow a 6))) (* 1/12 (/ (pow b_2 12) (pow a 6)))))) (pow c 6)))))
(exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c))))))
(+ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2)))))
(+ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) (+ (* -1/8 (/ (pow b_2 8) (pow a 4))) (* 1/32 (/ (pow b_2 8) (pow a 4))))) (pow c 4))))
(+ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) (+ (* -1/8 (/ (pow b_2 8) (pow a 4))) (* 1/32 (/ (pow b_2 8) (pow a 4))))) (pow c 4)) (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) (+ (* -1/32 (/ (pow b_2 12) (pow a 6))) (+ (* 1/384 (/ (pow b_2 12) (pow a 6))) (* 1/12 (/ (pow b_2 12) (pow a 6)))))) (pow c 6)))))
(* (pow 1 1/4) b_2)
(+ (* 1/4 (* (pow 1 1/4) (/ (* (pow a 2) (pow c 2)) (pow b_2 3)))) (* (pow 1 1/4) b_2))
(+ (* (pow 1 1/4) b_2) (* (pow a 2) (+ (* 1/4 (* (pow 1 1/4) (/ (pow c 2) (pow b_2 3)))) (* (pow 1 1/4) (* (pow a 2) (* b_2 (+ (* -1/8 (/ (pow c 4) (pow b_2 8))) (* 1/32 (/ (pow c 4) (pow b_2 8))))))))))
(+ (* (pow 1 1/4) b_2) (* (pow a 2) (+ (* 1/4 (* (pow 1 1/4) (/ (pow c 2) (pow b_2 3)))) (* (pow a 2) (+ (* (pow 1 1/4) (* b_2 (+ (* -1/8 (/ (pow c 4) (pow b_2 8))) (* 1/32 (/ (pow c 4) (pow b_2 8)))))) (* (pow 1 1/4) (* (pow a 2) (* b_2 (+ (* -1/32 (/ (pow c 6) (pow b_2 12))) (+ (* 1/384 (/ (pow c 6) (pow b_2 12))) (* 1/12 (/ (pow c 6) (pow b_2 12)))))))))))))
(exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a))))))
(+ (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a))))))) (* (pow a 2) (pow c 2)))))
(+ (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) (+ (* -1/8 (/ (pow b_2 8) (pow c 4))) (* 1/32 (/ (pow b_2 8) (pow c 4))))) (pow a 4))))
(+ (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) (+ (* -1/8 (/ (pow b_2 8) (pow c 4))) (* 1/32 (/ (pow b_2 8) (pow c 4))))) (pow a 4)) (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ 1 a)))))) (+ (* -1/32 (/ (pow b_2 12) (pow c 6))) (+ (* 1/384 (/ (pow b_2 12) (pow c 6))) (* 1/12 (/ (pow b_2 12) (pow c 6)))))) (pow a 6)))))
(exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a))))))
(+ (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2)))))
(+ (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) (+ (* -1/8 (/ (pow b_2 8) (pow c 4))) (* 1/32 (/ (pow b_2 8) (pow c 4))))) (pow a 4))))
(+ (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) (+ (* -1/8 (/ (pow b_2 8) (pow c 4))) (* 1/32 (/ (pow b_2 8) (pow c 4))))) (pow a 4)) (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) (+ (* -1/32 (/ (pow b_2 12) (pow c 6))) (+ (* 1/384 (/ (pow b_2 12) (pow c 6))) (* 1/12 (/ (pow b_2 12) (pow c 6)))))) (pow a 6)))))
(* (pow a 2) (pow c 2))
(+ (* (pow a 2) (pow c 2)) (pow b_2 4))
(+ (* (pow a 2) (pow c 2)) (pow b_2 4))
(+ (* (pow a 2) (pow c 2)) (pow b_2 4))
(pow b_2 4)
(* (pow b_2 4) (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))
(* (pow b_2 4) (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))
(* (pow b_2 4) (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))
(pow b_2 4)
(* (pow b_2 4) (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))
(* (pow b_2 4) (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))
(* (pow b_2 4) (+ 1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))
(pow b_2 4)
(+ (* (pow a 2) (pow c 2)) (pow b_2 4))
(+ (* (pow a 2) (pow c 2)) (pow b_2 4))
(+ (* (pow a 2) (pow c 2)) (pow b_2 4))
(* (pow a 2) (pow c 2))
(* (pow c 2) (+ (/ (pow b_2 4) (pow c 2)) (pow a 2)))
(* (pow c 2) (+ (/ (pow b_2 4) (pow c 2)) (pow a 2)))
(* (pow c 2) (+ (/ (pow b_2 4) (pow c 2)) (pow a 2)))
(* (pow a 2) (pow c 2))
(* (pow c 2) (+ (/ (pow b_2 4) (pow c 2)) (pow a 2)))
(* (pow c 2) (+ (/ (pow b_2 4) (pow c 2)) (pow a 2)))
(* (pow c 2) (+ (/ (pow b_2 4) (pow c 2)) (pow a 2)))
(pow b_2 4)
(+ (* (pow a 2) (pow c 2)) (pow b_2 4))
(+ (* (pow a 2) (pow c 2)) (pow b_2 4))
(+ (* (pow a 2) (pow c 2)) (pow b_2 4))
(* (pow a 2) (pow c 2))
(* (pow a 2) (+ (/ (pow b_2 4) (pow a 2)) (pow c 2)))
(* (pow a 2) (+ (/ (pow b_2 4) (pow a 2)) (pow c 2)))
(* (pow a 2) (+ (/ (pow b_2 4) (pow a 2)) (pow c 2)))
(* (pow a 2) (pow c 2))
(* (pow a 2) (+ (/ (pow b_2 4) (pow a 2)) (pow c 2)))
(* (pow a 2) (+ (/ (pow b_2 4) (pow a 2)) (pow c 2)))
(* (pow a 2) (+ (/ (pow b_2 4) (pow a 2)) (pow c 2)))
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 2) c)
(/ (pow b_2 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))
(* -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)))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))
(* (pow a 2) (pow c 2))

Outputs
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 a c)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 a c))) b_2)
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b_2
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b_2
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(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
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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))
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(* (sqrt (* a c)) (sqrt -1))
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(* -1 (* (sqrt (* a c)) (sqrt -1)))
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(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
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(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(* 1/2 (/ c b_2))
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(/ (- (* -2 (/ (pow b_2 2) a)) (* -1/2 c)) b_2)
(/.f64 (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 b_2 b_2)) a) (*.f64 c #s(literal 1/2 binary64))) b_2)
(/ (- (* -2 (/ (pow b_2 2) a)) (* -1/2 c)) b_2)
(/.f64 (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 b_2 b_2)) a) (*.f64 c #s(literal 1/2 binary64))) b_2)
(/ (- (* -2 (/ (pow b_2 2) a)) (* -1/2 c)) b_2)
(/.f64 (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 b_2 b_2)) a) (*.f64 c #s(literal 1/2 binary64))) b_2)
(* -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 (- (* 1/2 (/ 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 (- (* 1/2 (/ 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)))
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)) (-.f64 #s(literal 0 binary64) b_2))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
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(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
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(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(- (* 1/2 (/ c b_2)) (* 2 (/ b_2 a)))
(+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a))
(- (* 1/2 (/ c b_2)) (* 2 (/ b_2 a)))
(+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a))
(- (* 1/2 (/ c b_2)) (* 2 (/ b_2 a)))
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(* 1/2 (/ c b_2))
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (.f64 #s(literal -2 binary64) (/.f64 (/.f64 b_2 a) c))))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
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(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (.f64 #s(literal -2 binary64) (/.f64 (/.f64 b_2 a) c))))
(* 1/2 (/ c b_2))
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
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(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
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(-.f64 #s(literal 0 binary64) (.f64 c (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (/.f64 b_2 a) c)) (/.f64 #s(literal -1/2 binary64) b_2))))
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(/ (- (* 1/2 (/ (* a c) b_2)) (* 2 b_2)) a)
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(/.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 a c)) b_2) (*.f64 b_2 #s(literal -2 binary64))) a)
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(* -1/2 (/ c b_2))
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(* -1 (/ (+ (* -1 (- (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) b_2)) (+ (* -1 (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) (+ (* -1/8 (/ (pow b_2 8) (pow c 4))) (* 1/32 (/ (pow b_2 8) (pow c 4))))) (pow a 4))) (* -1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2)))))) a))
(/.f64 (-.f64 (-.f64 (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 b_2 #s(literal 4 binary64))) (exp.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 c c))) (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) (.f64 (.f64 a c) (.f64 a c))) (/.f64 (.f64 (.f64 (/.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal -3/32 binary64)) (exp.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 c c))) (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a)))))) (pow.f64 a #s(literal 4 binary64)))) (-.f64 (exp.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 c c))) (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a))))) b_2)) (-.f64 #s(literal 0 binary64) a))
(* -1 (/ (+ (* -1 (- (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) b_2)) (+ (* -1 (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) (+ (* -1/8 (/ (pow b_2 8) (pow c 4))) (* 1/32 (/ (pow b_2 8) (pow c 4))))) (pow a 4))) (+ (* -1 (/ (* (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a)))))) (+ (* -1/32 (/ (pow b_2 12) (pow c 6))) (+ (* 1/384 (/ (pow b_2 12) (pow c 6))) (* 1/12 (/ (pow b_2 12) (pow c 6)))))) (pow a 6))) (* -1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow c 2)) (* -2 (log (/ -1 a))))))) (* (pow a 2) (pow c 2))))))) a))
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(* (pow 1 1/4) (sqrt (* a c)))
(sqrt.f64 (*.f64 a c))
(+ (* 1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 4)))) (* (pow 1 1/4) (sqrt (* a c))))
(+.f64 (sqrt.f64 (.f64 a c)) (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (.f64 c (*.f64 c c))))))
(+ (* (pow 1 1/4) (sqrt (* a c))) (* (pow b_2 4) (+ (* -3/32 (* (pow 1 1/4) (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (pow b_2 4)))) (* 1/4 (* (pow 1 1/4) (sqrt (/ 1 (* (pow a 3) (pow c 3)))))))))
(+.f64 (sqrt.f64 (.f64 a c)) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (+.f64 (.f64 (.f64 #s(literal -3/32 binary64) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 7 binary64))))) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (.f64 c (*.f64 c c)))) #s(literal 1/4 binary64)))))
(+ (* (pow 1 1/4) (sqrt (* a c))) (* (pow b_2 4) (+ (* 1/4 (* (pow 1 1/4) (sqrt (/ 1 (* (pow a 3) (pow c 3)))))) (* (pow b_2 4) (+ (* -3/32 (* (pow 1 1/4) (sqrt (/ 1 (* (pow a 7) (pow c 7)))))) (* 7/128 (* (pow 1 1/4) (* (sqrt (/ 1 (* (pow a 11) (pow c 11)))) (pow b_2 4)))))))))
(+.f64 (sqrt.f64 (.f64 a c)) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (+.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (.f64 c (.f64 c c)))) #s(literal 1/4 binary64)) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (+.f64 (.f64 #s(literal -3/32 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 7 binary64))))) (.f64 (.f64 #s(literal 7/128 binary64) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 11 binary64)) (pow.f64 c #s(literal 11 binary64)))))))))))
b_2
(+ b_2 (* 1/4 (/ (* (pow a 2) (pow c 2)) (pow b_2 3))))
(+.f64 b_2 (.f64 (/.f64 #s(literal 1/4 binary64) b_2) (.f64 (/.f64 (.f64 c c) b_2) (/.f64 (.f64 a a) b_2))))
(+ b_2 (+ (* -1/8 (/ (* (pow a 4) (pow c 4)) (pow b_2 7))) (+ (* 1/32 (/ (* (pow a 4) (pow c 4)) (pow b_2 7))) (* 1/4 (/ (* (pow a 2) (pow c 2)) (pow b_2 3))))))
(+.f64 (.f64 (/.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 7 binary64))) #s(literal -3/32 binary64)) (+.f64 b_2 (.f64 (/.f64 #s(literal 1/4 binary64) b_2) (.f64 (/.f64 (.f64 c c) b_2) (/.f64 (.f64 a a) b_2)))))
(+ b_2 (+ (* -1/8 (/ (* (pow a 4) (pow c 4)) (pow b_2 7))) (+ (* -1/32 (/ (* (pow a 6) (pow c 6)) (pow b_2 11))) (+ (* 1/384 (/ (* (pow a 6) (pow c 6)) (pow b_2 11))) (+ (* 1/32 (/ (* (pow a 4) (pow c 4)) (pow b_2 7))) (+ (* 1/12 (/ (* (pow a 6) (pow c 6)) (pow b_2 11))) (* 1/4 (/ (* (pow a 2) (pow c 2)) (pow b_2 3)))))))))
(+.f64 (+.f64 (+.f64 b_2 (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 7 binary64)))) (.f64 (/.f64 (.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) (pow.f64 b_2 #s(literal 11 binary64))) #s(literal -11/384 binary64))) (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/32 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 7 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1/4 binary64) b_2) (.f64 (/.f64 (.f64 c c) b_2) (/.f64 (.f64 a a) b_2))) (/.f64 (.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 a #s(literal 6 binary64))) (pow.f64 c #s(literal 6 binary64))) (pow.f64 b_2 #s(literal 11 binary64))))))
(* -1 b_2)
(-.f64 #s(literal 0 binary64) b_2)
(+ (* -1 b_2) (* -1/4 (/ (* (pow a 2) (pow c 2)) (pow b_2 3))))
(-.f64 (.f64 (/.f64 #s(literal -1/4 binary64) b_2) (.f64 (/.f64 (.f64 c c) b_2) (/.f64 (.f64 a a) b_2))) b_2)
(+ (* -1 b_2) (+ (* -1 (/ (+ (* -1/8 (* (pow a 4) (pow c 4))) (* 1/32 (* (pow a 4) (pow c 4)))) (pow b_2 7))) (* -1/4 (/ (* (pow a 2) (pow c 2)) (pow b_2 3)))))
(-.f64 (-.f64 (.f64 (/.f64 #s(literal -1/4 binary64) b_2) (.f64 (/.f64 (.f64 c c) b_2) (/.f64 (.f64 a a) b_2))) (/.f64 (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal -3/32 binary64)) (pow.f64 b_2 #s(literal 7 binary64)))) b_2)
(+ (* -1 b_2) (+ (* -1 (/ (+ (* -1/8 (* (pow a 4) (pow c 4))) (* 1/32 (* (pow a 4) (pow c 4)))) (pow b_2 7))) (+ (* -1 (/ (+ (* -1/32 (* (pow a 6) (pow c 6))) (+ (* 1/384 (* (pow a 6) (pow c 6))) (* 1/12 (* (pow a 6) (pow c 6))))) (pow b_2 11))) (* -1/4 (/ (* (pow a 2) (pow c 2)) (pow b_2 3))))))
(-.f64 (-.f64 (-.f64 (.f64 (/.f64 #s(literal -1/4 binary64) b_2) (.f64 (/.f64 (.f64 c c) b_2) (/.f64 (.f64 a a) b_2))) (/.f64 (.f64 (.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) #s(literal 7/128 binary64)) (pow.f64 b_2 #s(literal 11 binary64)))) (/.f64 (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal -3/32 binary64)) (pow.f64 b_2 #s(literal 7 binary64)))) b_2)
(* (pow 1 1/4) b_2)
b_2
(+ (* 1/4 (* (pow 1 1/4) (/ (* (pow a 2) (pow c 2)) (pow b_2 3)))) (* (pow 1 1/4) b_2))
(+.f64 b_2 (.f64 (/.f64 #s(literal 1/4 binary64) b_2) (.f64 (/.f64 (.f64 c c) b_2) (/.f64 (.f64 a a) b_2))))
(+ (* (pow 1 1/4) b_2) (* (pow c 2) (+ (* 1/4 (* (pow 1 1/4) (/ (pow a 2) (pow b_2 3)))) (* (pow 1 1/4) (* b_2 (* (pow c 2) (+ (* -1/8 (/ (pow a 4) (pow b_2 8))) (* 1/32 (/ (pow a 4) (pow b_2 8))))))))))
(+.f64 b_2 (.f64 (.f64 c c) (+.f64 (.f64 (/.f64 (.f64 a a) (.f64 b_2 (.f64 b_2 b_2))) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 b_2 (.f64 c c)) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)))) #s(literal -3/32 binary64)))))
(+ (* (pow 1 1/4) b_2) (* (pow c 2) (+ (* 1/4 (* (pow 1 1/4) (/ (pow a 2) (pow b_2 3)))) (* (pow c 2) (+ (* (pow 1 1/4) (* b_2 (* (pow c 2) (+ (* -1/32 (/ (pow a 6) (pow b_2 12))) (+ (* 1/384 (/ (pow a 6) (pow b_2 12))) (* 1/12 (/ (pow a 6) (pow b_2 12)))))))) (* (pow 1 1/4) (* b_2 (+ (* -1/8 (/ (pow a 4) (pow b_2 8))) (* 1/32 (/ (pow a 4) (pow b_2 8)))))))))))
(+.f64 b_2 (.f64 (.f64 c c) (+.f64 (.f64 (/.f64 (.f64 a a) (.f64 b_2 (.f64 b_2 b_2))) #s(literal 1/4 binary64)) (.f64 (.f64 c c) (.f64 b_2 (+.f64 (.f64 (.f64 c c) (.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b_2 #s(literal 12 binary64))) #s(literal 7/128 binary64))) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64))) #s(literal -3/32 binary64))))))))
(exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c))))))
(exp.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 a a))) (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) c)))))
(+ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2)))))
(+.f64 (exp.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 a a))) (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) c))))) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 b_2 #s(literal 4 binary64))) (exp.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 a a))) (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) c)))))) (.f64 (.f64 a c) (*.f64 a c))))
(+ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) (+ (* -1/8 (/ (pow b_2 8) (pow a 4))) (* 1/32 (/ (pow b_2 8) (pow a 4))))) (pow c 4))))
(+.f64 (exp.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 a a))) (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) c))))) (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 b_2 #s(literal 4 binary64))) (exp.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 a a))) (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) c)))))) (.f64 (.f64 a c) (.f64 a c))) (.f64 (exp.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 a a))) (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) c))))) (/.f64 (.f64 (/.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -3/32 binary64)) (pow.f64 c #s(literal 4 binary64))))))
(+ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) (+ (* -1/8 (/ (pow b_2 8) (pow a 4))) (* 1/32 (/ (pow b_2 8) (pow a 4))))) (pow c 4)) (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ 1 c)))))) (+ (* -1/32 (/ (pow b_2 12) (pow a 6))) (+ (* 1/384 (/ (pow b_2 12) (pow a 6))) (* 1/12 (/ (pow b_2 12) (pow a 6)))))) (pow c 6)))))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 b_2 #s(literal 4 binary64))) (exp.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 a a))) (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) c)))))) (.f64 (.f64 a c) (.f64 a c))) (+.f64 (exp.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 a a))) (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) c))))) (.f64 (exp.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 a a))) (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) c))))) (+.f64 (/.f64 (.f64 (/.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -3/32 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 (*.f64 (/.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 7/128 binary64)) (pow.f64 c #s(literal 6 binary64)))))))
(exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c))))))
(exp.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 a a))) (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) c)))))
(+ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2)))))
(+.f64 (exp.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 a a))) (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) c))))) (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 b_2 #s(literal 4 binary64))) (exp.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 a a))) (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) c)))))) (.f64 (.f64 a c) (*.f64 a c))))
(+ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2)))) (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) (+ (* -1/8 (/ (pow b_2 8) (pow a 4))) (* 1/32 (/ (pow b_2 8) (pow a 4))))) (pow c 4))))
(+.f64 (exp.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 a a))) (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) c))))) (+.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 b_2 #s(literal 4 binary64))) (exp.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 a a))) (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) c)))))) (.f64 (.f64 a c) (.f64 a c))) (.f64 (exp.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 a a))) (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) c))))) (/.f64 (.f64 (/.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -3/32 binary64)) (pow.f64 c #s(literal 4 binary64))))))
(+ (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) (+ (* 1/4 (/ (* (pow b_2 4) (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c))))))) (* (pow a 2) (pow c 2)))) (+ (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) (+ (* -1/8 (/ (pow b_2 8) (pow a 4))) (* 1/32 (/ (pow b_2 8) (pow a 4))))) (pow c 4)) (/ (* (exp (* 1/4 (+ (log (pow a 2)) (* -2 (log (/ -1 c)))))) (+ (* -1/32 (/ (pow b_2 12) (pow a 6))) (+ (* 1/384 (/ (pow b_2 12) (pow a 6))) (* 1/12 (/ (pow b_2 12) (pow a 6)))))) (pow c 6)))))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 b_2 #s(literal 4 binary64))) (exp.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 a a))) (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) c)))))) (.f64 (.f64 a c) (.f64 a c))) (+.f64 (exp.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 a a))) (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) c))))) (.f64 (exp.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 a a))) (.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) c))))) (+.f64 (/.f64 (.f64 (/.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal -3/32 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 (*.f64 (/.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 a #s(literal 6 binary64))) #s(literal 7/128 binary64)) (pow.f64 c #s(literal 6 binary64)))))))
(* (pow 1 1/4) b_2)
b_2
(+ (* 1/4 (* (pow 1 1/4) (/ (* (pow a 2) (pow c 2)) (pow b_2 3)))) (* (pow 1 1/4) b_2))
(+.f64 b_2 (.f64 (/.f64 #s(literal 1/4 binary64) b_2) (.f64 (/.f64 (.f64 c c) b_2) (/.f64 (.f64 a a) b_2))))
(+ (* (pow 1 1/4) b_2) (* (pow a 2) (+ (* 1/4 (* (pow 1 1/4) (/ (pow c 2) (pow b_2 3)))) (* (pow 1 1/4) (* (pow a 2) (* b_2 (+ (* -1/8 (/ (pow c 4) (pow b_2 8))) (* 1/32 (/ (pow c 4) (pow b_2 8))))))))))
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(.f64 (.f64 a c) (*.f64 a c))
(* (pow a 2) (pow c 2))
(.f64 (.f64 a c) (*.f64 a c))
(* (pow a 2) (pow c 2))
(.f64 (.f64 a c) (*.f64 a c))
(* (pow a 2) (pow c 2))
(.f64 (.f64 a c) (*.f64 a c))
(* (pow a 2) (pow c 2))
(.f64 (.f64 a c) (*.f64 a c))
(* (pow a 2) (pow c 2))
(.f64 (.f64 a c) (*.f64 a c))
(* (pow a 2) (pow c 2))
(.f64 (.f64 a c) (*.f64 a c))
(* (pow a 2) (pow c 2))
(.f64 (.f64 a c) (*.f64 a c))
(* (pow a 2) (pow c 2))
(.f64 (.f64 a c) (*.f64 a c))
(* (pow a 2) (pow c 2))
(.f64 (.f64 a c) (*.f64 a c))
(* (pow a 2) (pow c 2))
(.f64 (.f64 a c) (*.f64 a c))
(* (pow a 2) (pow c 2))
(.f64 (.f64 a c) (*.f64 a c))
(* (pow a 2) (pow c 2))
(.f64 (.f64 a c) (*.f64 a c))
(* (pow a 2) (pow c 2))
(.f64 (.f64 a c) (*.f64 a c))
(* (pow a 2) (pow c 2))
(.f64 (.f64 a c) (*.f64 a c))
(* (pow a 2) (pow c 2))
(.f64 (.f64 a c) (*.f64 a c))
(* (pow a 2) (pow c 2))
(.f64 (.f64 a c) (*.f64 a c))
(* (pow a 2) (pow c 2))
(.f64 (.f64 a c) (*.f64 a c))
(* (pow a 2) (pow c 2))
(.f64 (.f64 a c) (*.f64 a c))

eval262.0ms (2.2%)

Memory: -4.9MiB live, 394.8MiB allocated
Compiler: Compiled 45 399 to 4 338 computations (90.4% saved)

prune313.0ms (2.6%)

Memory

2.4MiB live, 402.3MiB allocated

Pruning

31 alts after pruning (29 fresh and 2 done)

	Pruned	Kept	Total
New	1 639	27	1 666
Fresh	6	2	8
Picked	4	1	5
Done	0	1	1
Total	1 649	31	1 680

Accuracy

98.4%

Counts

1 680 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.4%	(/.f64 (/.f64 (-.f64 (.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a)) (.f64 b_2 b_2)) (-.f64 (sqrt.f64 (.f64 c (-.f64 (/.f64 (*.f64 b_2 b_2) c) a))) (-.f64 #s(literal 0 binary64) b_2))) a)
	31.4%	(/.f64 (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) b_2) a)
	23.6%	(/.f64 (-.f64 (.f64 b_2 b_2) (.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))) (.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))))))
▶	46.3%	(/.f64 (-.f64 (sqrt.f64 (.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))) b_2) a)
	12.1%	(/.f64 (-.f64 (exp.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 c c))) (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) a))))) b_2) a)
	27.6%	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (.f64 (.f64 a c) (*.f64 a c)) #s(literal 1/4 binary64))) a)
	31.7%	(/.f64 (+.f64 (neg.f64 b_2) (.f64 (pow.f64 (-.f64 (/.f64 (.f64 b_2 b_2) c) a) #s(literal 1/2 binary64)) (sqrt.f64 c))) a)
	11.9%	(/.f64 (+.f64 (neg.f64 b_2) (.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2))))) a)
✓	49.9%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	33.4%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))) a)
	27.4%	(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))) (/.f64 #s(literal 1 binary64) a)) (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a)))))
	35.9%	(/.f64 (.f64 c (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a c)) (.f64 b_2 b_2)) #s(literal -1/2 binary64))) b_2)
	11.5%	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
	37.5%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	33.2%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
	1.5%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64)))) (.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64)))))))
	46.2%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))) b_2)))
	33.1%	(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
▶	11.3%	(-.f64 #s(literal 0 binary64) (.f64 b_2 (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 b_2 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))) (.f64 a #s(literal 1 binary64))) (.f64 a (/.f64 b_2 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))))))
	33.3%	(-.f64 #s(literal 0 binary64) (.f64 b_2 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal -1/2 binary64))))) (/.f64 #s(literal 2 binary64) a))))
	27.9%	(-.f64 #s(literal 0 binary64) (.f64 b_2 (.f64 c (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a c)) (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2))))))
▶	11.5%	(-.f64 #s(literal 0 binary64) (.f64 b_2 (.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2)))))
	33.5%	(+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a))
	2.9%	(.f64 (/.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a))) (/.f64 (.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64)))) (.f64 b_2 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))))))
	0.8%	(.f64 (/.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (.f64 b_2 b_2)) (/.f64 (.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64)))) (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)))))
	0.8%	(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)) (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)))) (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64)))) (/.f64 (.f64 b_2 (.f64 b_2 b_2)) (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64)))))
	30.4%	(.f64 (/.f64 #s(literal 1 binary64) b_2) (+.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 (.f64 c (.f64 c a)) (/.f64 #s(literal -1/8 binary64) (.f64 b_2 b_2)))))
▶	46.2%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (.f64 c (-.f64 (/.f64 (*.f64 b_2 b_2) c) a))) b_2))
	33.1%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
	30.2%	(.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (.f64 #s(literal -2 binary64) (/.f64 (/.f64 b_2 a) c))))
▶	11.8%	#s(literal 0 binary64)

Compiler

Compiled 1 518 to 750 computations (50.6% saved)

simplify368.0ms (3%)

Memory

6.4MiB live, 494.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

8 032×	`accelerator-lowering-fma.f32`
8 032×	`accelerator-lowering-fma.f64`
4 530×	`-lowering-.f32`
4 530×	`-lowering-.f64`
3 974×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	293
1	79	293
2	261	281
3	1052	261
4	4684	245
5	7942	245
0	9410	241

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize169.0ms (1.4%)

Memory

-14.6MiB live, 345.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	91.9%	(.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))
✓	accuracy	85.8%	(/.f64 (*.f64 b_2 b_2) c)
✓	accuracy	76.3%	(-.f64 (sqrt.f64 (.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))) b_2)
✓	accuracy	60.6%	(sqrt.f64 (.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a)))
✓	accuracy	99.8%	(/.f64 b_2 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
✓	accuracy	93.2%	(.f64 b_2 (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 b_2 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))) (.f64 a #s(literal 1 binary64))) (.f64 a (/.f64 b_2 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))))
✓	accuracy	89.2%	(.f64 a (/.f64 b_2 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
✓	accuracy	50.3%	(/.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 b_2 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))) (.f64 a #s(literal 1 binary64))) (.f64 a (/.f64 b_2 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))))
✓	accuracy	100.0%	(*.f64 b_2 b_2)
✓	accuracy	100.0%	(.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2)))
✓	accuracy	85.8%	(/.f64 c (*.f64 b_2 b_2))
✓	accuracy	73.9%	(.f64 b_2 (.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2))))
✓	accuracy	91.9%	(.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))
✓	accuracy	85.8%	(/.f64 (*.f64 b_2 b_2) c)
✓	accuracy	76.3%	(-.f64 (sqrt.f64 (.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))) b_2)
✓	accuracy	60.6%	(sqrt.f64 (.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a)))

Samples

42.0ms	166×	0	valid
29.0ms	43×	2	valid
20.0ms	39×	1	valid
6.0ms	8×	3	valid

Compiler

Compiled 305 to 32 computations (89.5% saved)

Precisions

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

ival-mult: 27.0ms (40.4% of total)

ival-div: 22.0ms (32.9% of total)

ival-sub: 8.0ms (12% of total)

adjust: 4.0ms (6% of total)

ival-sqrt: 3.0ms (4.5% of total)

ival-add: 2.0ms (3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series50.0ms (0.4%)

Memory

20.3MiB live, 95.1MiB allocated

Counts

19 → 528

Calls

Call 1

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

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

Calls

132 calls:

Time	Variable		Point	Expression
13.0ms	c	@	-inf	(/ c (* b_2 b_2))
8.0ms	c	@	0	(* (/ 1 a) (- (sqrt (* c (- (/ (* b_2 b_2) c) a))) b_2))
1.0ms	b_2	@	inf	(* b_2 (/ (+ (* 2 (/ b_2 (/ (* c -1/2) b_2))) (* a 1)) (* a (/ b_2 (/ (* c -1/2) b_2)))))
1.0ms	c	@	0	(* b_2 (/ (+ (* 2 (/ b_2 (/ (* c -1/2) b_2))) (* a 1)) (* a (/ b_2 (/ (* c -1/2) b_2)))))
1.0ms	b_2	@	0	(* b_2 (/ (+ (* 2 (/ b_2 (/ (* c -1/2) b_2))) (* a 1)) (* a (/ b_2 (/ (* c -1/2) b_2)))))

rewrite502.0ms (4.1%)

Memory

-1.1MiB live, 901.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 958×	`/-lowering-/.f32`
4 958×	`/-lowering-/.f64`
4 114×	`-lowering-.f32`
4 114×	`-lowering-.f64`
4 038×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	195
1	185	194
2	1609	194
0	8254	191

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1 104

Calls

Call 1

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

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

simplify543.0ms (4.5%)

Memory

-18.4MiB live, 954.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 122×	`accelerator-lowering-fma.f32`
12 122×	`accelerator-lowering-fma.f64`
7 284×	`-lowering-.f32`
7 284×	`-lowering-.f64`
2 566×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	563	6676
1	1781	6598
2	6027	6542
0	8091	6289

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

Calls

Call 1

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

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

eval347.0ms (2.9%)

Memory: 29.0MiB live, 531.0MiB allocated
Compiler: Compiled 58 641 to 4 319 computations (92.6% saved)

prune287.0ms (2.4%)

Memory

-4.0MiB live, 544.0MiB allocated

Pruning

40 alts after pruning (37 fresh and 3 done)

	Pruned	Kept	Total
New	2 012	20	2 032
Fresh	7	17	24
Picked	3	2	5
Done	1	1	2
Total	2 023	40	2 063

Accuracy

98.8%

Counts

2 063 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.8%	(fma.f64 (/.f64 (sqrt.f64 c) a) (/.f64 (sqrt.f64 (-.f64 (/.f64 b_2 (/.f64 c b_2)) a)) #s(literal 1 binary64)) (neg.f64 (/.f64 b_2 a)))
	33.2%	(fma.f64 (sqrt.f64 c) (/.f64 (sqrt.f64 (-.f64 (/.f64 b_2 (/.f64 c b_2)) a)) a) (neg.f64 (/.f64 b_2 a)))
	31.4%	(/.f64 (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) b_2) a)
	46.3%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 c (-.f64 (/.f64 b_2 (/.f64 c b_2)) a))) b_2))) a)
	33.9%	(/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 (.f64 c (-.f64 (/.f64 b_2 (/.f64 c b_2)) a))) a) (/.f64 a b_2)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 a b_2)))
	33.6%	(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 (/.f64 b_2 (/.f64 c b_2)) a)) (sqrt.f64 c)) b_2) a)
▶	28.0%	(/.f64 (-.f64 (.f64 (sqrt.f64 (.f64 c (-.f64 (/.f64 b_2 (/.f64 c b_2)) a))) a) (.f64 b_2 a)) (.f64 a a))
	11.9%	(/.f64 (-.f64 (.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) a)
	46.3%	(/.f64 (-.f64 (sqrt.f64 (/.f64 c (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 b_2 (/.f64 c b_2)) a)))) b_2) a)
▶	49.9%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	33.4%	(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))) b_2) a)
✓	46.3%	(/.f64 (-.f64 (sqrt.f64 (.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))) b_2) a)
	12.1%	(/.f64 (-.f64 (exp.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 c c))) (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) a))))) b_2) a)
	27.6%	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (.f64 (.f64 a c) (*.f64 a c)) #s(literal 1/4 binary64))) a)
	27.4%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (.f64 c (-.f64 (/.f64 b_2 (/.f64 c b_2)) a)) (.f64 b_2 b_2))) (+.f64 b_2 (sqrt.f64 (.f64 c (-.f64 (/.f64 b_2 (/.f64 c b_2)) a)))))
	35.9%	(/.f64 (.f64 c (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a c)) (.f64 b_2 b_2)) #s(literal -1/2 binary64))) b_2)
	11.5%	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
	37.5%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	33.2%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
	11.6%	(/.f64 (neg.f64 (*.f64 b_2 #s(literal -1/2 binary64))) (/.f64 b_2 (/.f64 c b_2)))
	1.5%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64)))) (.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64)))))))
	46.2%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))) b_2)))
	33.1%	(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
	9.6%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 b_2 (+.f64 a (.f64 #s(literal 2 binary64) (/.f64 b_2 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))))) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 b_2 b_2))))
	13.1%	(-.f64 #s(literal 0 binary64) (.f64 b_2 (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 b_2 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))) (.f64 a #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 b_2 a) c) (/.f64 #s(literal -1/2 binary64) b_2)))))
	33.3%	(-.f64 #s(literal 0 binary64) (.f64 b_2 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal -1/2 binary64))))) (/.f64 #s(literal 2 binary64) a))))
	27.9%	(-.f64 #s(literal 0 binary64) (.f64 b_2 (.f64 c (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a c)) (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2))))))
	33.5%	(+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a))
	2.9%	(.f64 (/.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a))) (/.f64 (.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64)))) (.f64 b_2 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))))))
▶	0.8%	(.f64 (/.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (.f64 b_2 b_2)) (/.f64 (.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64)))) (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)))))
	0.8%	(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)) (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)))) (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64)))) (/.f64 (.f64 b_2 (.f64 b_2 b_2)) (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64)))))
	30.4%	(.f64 (/.f64 #s(literal 1 binary64) b_2) (+.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 (.f64 c (.f64 c a)) (/.f64 #s(literal -1/8 binary64) (.f64 b_2 b_2)))))
	33.5%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (.f64 (sqrt.f64 (-.f64 (/.f64 b_2 (/.f64 c b_2)) a)) (sqrt.f64 c)) b_2))
	33.4%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c))) b_2))
	31.4%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) b_2)))
▶	33.1%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
	27.8%	(.f64 (-.f64 (.f64 (sqrt.f64 (.f64 c (-.f64 (/.f64 b_2 (/.f64 c b_2)) a))) a) (.f64 b_2 a)) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
	11.5%	(.f64 (.f64 b_2 #s(literal -1/2 binary64)) (neg.f64 (/.f64 c (*.f64 b_2 b_2))))
▶	30.2%	(.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) c)))
✓	11.8%	#s(literal 0 binary64)

Compiler

Compiled 1 821 to 966 computations (47% saved)

simplify411.0ms (3.4%)

Memory

6.5MiB live, 642.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

11 878×	`accelerator-lowering-fma.f32`
11 878×	`accelerator-lowering-fma.f64`
5 142×	`-lowering-.f32`
5 142×	`-lowering-.f64`
3 808×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	419
1	129	419
2	371	397
3	1246	397
4	3870	391
5	7371	391
0	8110	375

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize277.0ms (2.3%)

Memory

-12.1MiB live, 516.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	91.9%	(*.f64 c (-.f64 (/.f64 b_2 (/.f64 c b_2)) a))
✓	accuracy	79.8%	(-.f64 (.f64 (sqrt.f64 (.f64 c (-.f64 (/.f64 b_2 (/.f64 c b_2)) a))) a) (*.f64 b_2 a))
✓	accuracy	60.6%	(sqrt.f64 (*.f64 c (-.f64 (/.f64 b_2 (/.f64 c b_2)) a)))
✓	accuracy	51.3%	(/.f64 (-.f64 (.f64 (sqrt.f64 (.f64 c (-.f64 (/.f64 b_2 (/.f64 c b_2)) a))) a) (.f64 b_2 a)) (.f64 a a))
✓	accuracy	85.8%	(/.f64 c (*.f64 b_2 b_2))
✓	accuracy	73.2%	(/.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (*.f64 b_2 b_2))
✓	accuracy	56.8%	(/.f64 (.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64)))) (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a))))
✓	accuracy	55.9%	(.f64 (/.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (.f64 b_2 b_2)) (/.f64 (.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64)))) (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)))))
✓	accuracy	100.0%	(*.f64 b_2 #s(literal -2 binary64))
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) c))
✓	accuracy	92.8%	(.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) c)))
✓	accuracy	89.6%	(/.f64 (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) c)
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) a)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
✓	accuracy	98.7%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	95.5%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
✓	accuracy	76.3%	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
✓	accuracy	60.6%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Samples

66.0ms	166×	0	valid
43.0ms	42×	2	valid
24.0ms	33×	1	valid
16.0ms	15×	3	valid

Compiler

Compiled 455 to 49 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-div: 42.0ms (40.4% of total)

ival-mult: 32.0ms (30.7% of total)

ival-add: 9.0ms (8.6% of total)

ival-sub: 7.0ms (6.7% of total)

adjust: 6.0ms (5.8% of total)

ival-sqrt: 6.0ms (5.8% of total)

exact: 1.0ms (1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series76.0ms (0.6%)

Memory

23.9MiB live, 176.7MiB allocated

Counts

22 → 684

Calls

Call 1

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

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

Calls

171 calls:

Time	Variable		Point	Expression
7.0ms	b_2	@	inf	(* (/ (+ (/ b_2 (/ a 2)) (* (/ (* c -1/2) b_2) 1)) (* b_2 b_2)) (/ (* (+ (/ b_2 (/ a 2)) (* (/ (* c -1/2) b_2) 1)) (+ (/ b_2 (/ a 2)) (* (/ (* c -1/2) b_2) 1))) (* (+ (* -1/2 (/ c (* b_2 b_2))) (/ 2 a)) (+ (* -1/2 (/ c (* b_2 b_2))) (/ 2 a)))))
4.0ms	c	@	inf	(- (* (sqrt (* c (- (/ b_2 (/ c b_2)) a))) a) (* b_2 a))
3.0ms	b_2	@	inf	(/ (* (+ (/ b_2 (/ a 2)) (* (/ (* c -1/2) b_2) 1)) (+ (/ b_2 (/ a 2)) (* (/ (* c -1/2) b_2) 1))) (* (+ (* -1/2 (/ c (* b_2 b_2))) (/ 2 a)) (+ (* -1/2 (/ c (* b_2 b_2))) (/ 2 a))))
3.0ms	c	@	0	(/ (+ (/ b_2 (/ a 2)) (* (/ (* c -1/2) b_2) 1)) (* b_2 b_2))
2.0ms	b_2	@	-inf	(* (/ (+ (/ b_2 (/ a 2)) (* (/ (* c -1/2) b_2) 1)) (* b_2 b_2)) (/ (* (+ (/ b_2 (/ a 2)) (* (/ (* c -1/2) b_2) 1)) (+ (/ b_2 (/ a 2)) (* (/ (* c -1/2) b_2) 1))) (* (+ (* -1/2 (/ c (* b_2 b_2))) (/ 2 a)) (+ (* -1/2 (/ c (* b_2 b_2))) (/ 2 a)))))

rewrite521.0ms (4.3%)

Memory

-24.9MiB live, 872.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 244×	`accelerator-lowering-fma.f32`
5 244×	`accelerator-lowering-fma.f64`
5 168×	`-lowering-.f32`
5 168×	`-lowering-.f64`
4 308×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	251
1	310	235
2	3497	235
0	9376	227

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 701

Calls

Call 1

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

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

simplify785.0ms (6.5%)

Memory

17.2MiB live, 886.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 052×	`accelerator-lowering-fma.f32`
8 052×	`accelerator-lowering-fma.f64`
8 016×	`-lowering-.f32`
8 016×	`-lowering-.f64`
5 590×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1290	12589
1	4297	12451
0	9124	11920

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 684

Calls

Call 1

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

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

eval471.0ms (3.9%)

Memory: -13.9MiB live, 392.3MiB allocated
Compiler: Compiled 79 028 to 4 635 computations (94.1% saved)

prune490.0ms (4%)

Memory

-10.7MiB live, 523.3MiB allocated

Pruning

42 alts after pruning (36 fresh and 6 done)

	Pruned	Kept	Total
New	1 719	16	1 735
Fresh	12	20	32
Picked	2	3	5
Done	0	3	3
Total	1 733	42	1 775

Accuracy

98.8%

Counts

1 775 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.2%	(fma.f64 (sqrt.f64 c) (/.f64 (sqrt.f64 (-.f64 (/.f64 b_2 (/.f64 c b_2)) a)) a) (neg.f64 (/.f64 b_2 a)))
	28.4%	(/.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)
	31.4%	(/.f64 (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) b_2) a)
	46.3%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 c (-.f64 (/.f64 b_2 (/.f64 c b_2)) a))) b_2))) a)
	17.7%	(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (-.f64 (/.f64 (.f64 b_2 b_2) c) a) #s(literal 1/2 binary64)) (sqrt.f64 c)) a) (.f64 b_2 a)) (*.f64 a a))
	33.6%	(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 (/.f64 b_2 (/.f64 c b_2)) a)) (sqrt.f64 c)) b_2) a)
	20.5%	(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 c a))) a) (.f64 b_2 a)) (.f64 a a))
	11.9%	(/.f64 (-.f64 (.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) a)
	46.3%	(/.f64 (-.f64 (sqrt.f64 (/.f64 c (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 b_2 (/.f64 c b_2)) a)))) b_2) a)
✓	49.9%	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
	33.4%	(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a)
✓	46.3%	(/.f64 (-.f64 (sqrt.f64 (.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))) b_2) a)
	12.1%	(/.f64 (-.f64 (exp.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 c c))) (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) a))))) b_2) a)
	1.9%	(/.f64 (+.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 a (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 c b_2) #s(literal -6 binary64))) (.f64 b_2 b_2)) (/.f64 c b_2)))) a)
	27.6%	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (.f64 (.f64 a c) (*.f64 a c)) #s(literal 1/4 binary64))) a)
	28.4%	(/.f64 (.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 b_2)) (/.f64 #s(literal 1 binary64) a)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
	1.4%	(/.f64 (.f64 (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 b_2 (/.f64 a #s(literal 2 binary64)))) (.f64 (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 b_2 (/.f64 a #s(literal 2 binary64)))) (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 b_2 (/.f64 a #s(literal 2 binary64)))))) (.f64 (.f64 b_2 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b_2 b_2) c)) (/.f64 #s(literal 2 binary64) a))) (.f64 b_2 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b_2 b_2) c)) (/.f64 #s(literal 2 binary64) a)))))
	35.9%	(/.f64 (.f64 c (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a c)) (.f64 b_2 b_2)) #s(literal -1/2 binary64))) b_2)
	37.5%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	33.2%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
	11.6%	(/.f64 (neg.f64 (*.f64 b_2 #s(literal -1/2 binary64))) (/.f64 b_2 (/.f64 c b_2)))
	33.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -2 binary64)) b_2))
	49.8%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
	9.6%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 b_2 (+.f64 a (.f64 #s(literal 2 binary64) (/.f64 b_2 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))))) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 b_2 b_2))))
	13.1%	(-.f64 #s(literal 0 binary64) (.f64 b_2 (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 b_2 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))) (.f64 a #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 b_2 a) c) (/.f64 #s(literal -1/2 binary64) b_2)))))
	33.3%	(-.f64 #s(literal 0 binary64) (.f64 b_2 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal -1/2 binary64))))) (/.f64 #s(literal 2 binary64) a))))
	27.9%	(-.f64 #s(literal 0 binary64) (.f64 b_2 (.f64 c (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a c)) (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2))))))
	33.5%	(+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a))
	4.7%	(.f64 (/.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (.f64 b_2 b_2)) (/.f64 (.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64)))) (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)))))
	0.7%	(.f64 (/.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (.f64 b_2 b_2)) (/.f64 (.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) b_2) (.f64 b_2 #s(literal 2 binary64))) a) (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64)))) (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)))))
	2.8%	(*.f64 (/.f64 b_2 a) #s(literal 2 binary64))
	27.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 a (-.f64 (sqrt.f64 (.f64 c (-.f64 (/.f64 (*.f64 b_2 b_2) c) a))) b_2)))
	33.5%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (.f64 (sqrt.f64 (-.f64 (/.f64 b_2 (/.f64 c b_2)) a)) (sqrt.f64 c)) b_2))
	33.4%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c))) b_2))
	31.4%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) b_2)))
✓	33.1%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
	2.6%	(.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (.f64 (/.f64 b_2 a) #s(literal 2 binary64)) c)))
	11.5%	(.f64 (.f64 b_2 #s(literal -1/2 binary64)) (neg.f64 (/.f64 c (*.f64 b_2 b_2))))
	15.0%	(.f64 (exp.f64 (.f64 (log.f64 (/.f64 a #s(literal -2 binary64))) #s(literal -1 binary64))) b_2)
	11.5%	(*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))
✓	30.2%	(.f64 c (+.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) c)))
✓	11.8%	#s(literal 0 binary64)

Compiler

Compiled 2 499 to 834 computations (66.6% saved)

regimes114.0ms (0.9%)

Memory

31.5MiB live, 225.6MiB allocated

Counts

77 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 b_2 a) #s(literal 2 binary64))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -2 binary64)) b_2))
(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
(/.f64 (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) b_2) a)
(.f64 (.f64 b_2 #s(literal -1/2 binary64)) (neg.f64 (/.f64 c (*.f64 b_2 b_2))))
(/.f64 (neg.f64 (*.f64 b_2 #s(literal -1/2 binary64))) (/.f64 b_2 (/.f64 c b_2)))
(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) b_2)))
(+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a))
(-.f64 #s(literal 0 binary64) (.f64 b_2 (.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2)))))
(.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 (.f64 b_2 #s(literal -2 binary64)) a) c)))
(.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (.f64 (/.f64 b_2 a) #s(literal 2 binary64)) c)))
(-.f64 #s(literal 0 binary64) (.f64 b_2 (+.f64 (/.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) b_2) (/.f64 #s(literal 2 binary64) a))))
(/.f64 (.f64 c (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a c)) (.f64 b_2 b_2)) #s(literal -1/2 binary64))) b_2)
(.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 #s(literal 0 binary64) (.f64 b_2 (.f64 c (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a c)) (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2))))))
(/.f64 (.f64 (+.f64 #s(literal 2 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 c #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c c))) (*.f64 b_2 b_2))) b_2)
(/.f64 (-.f64 (.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) a)
(/.f64 (+.f64 (neg.f64 b_2) (.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (.f64 b_2 b_2))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2))))) a)
(.f64 (/.f64 #s(literal 1 binary64) b_2) (+.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 (.f64 c (.f64 c a)) (/.f64 #s(literal -1/8 binary64) (.f64 b_2 b_2)))))
(-.f64 #s(literal 0 binary64) (.f64 b_2 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal -1/2 binary64))))) (/.f64 #s(literal 2 binary64) a))))
(/.f64 (+.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 a (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 c b_2) #s(literal -6 binary64))) (.f64 b_2 b_2)) (/.f64 c b_2)))) a)
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 b_2 (+.f64 a (.f64 #s(literal 2 binary64) (/.f64 b_2 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))))) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 b_2 b_2))))
(-.f64 #s(literal 0 binary64) (.f64 b_2 (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 b_2 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))) (.f64 a #s(literal 1 binary64))) (.f64 a (/.f64 b_2 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))))))
(-.f64 #s(literal 0 binary64) (.f64 b_2 (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 b_2 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))) (.f64 a #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 b_2 a) c) (/.f64 #s(literal -1/2 binary64) b_2)))))
(.f64 (/.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (.f64 b_2 b_2)) (/.f64 (.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64)))) (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)))))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 b_2 (/.f64 a #s(literal 2 binary64)))) (.f64 (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 b_2 (/.f64 a #s(literal 2 binary64)))) (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 b_2 (/.f64 a #s(literal 2 binary64)))))) (.f64 (.f64 b_2 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b_2 b_2) c)) (/.f64 #s(literal 2 binary64) a))) (.f64 b_2 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b_2 b_2) c)) (/.f64 #s(literal 2 binary64) a)))))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)) (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)))) (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64)))) (/.f64 (.f64 b_2 (.f64 b_2 b_2)) (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (.f64 b_2 b_2)) (/.f64 (.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64)))) (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)))))
(.f64 (/.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (.f64 b_2 b_2)) (/.f64 (.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) b_2) (.f64 b_2 #s(literal 2 binary64))) a) (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64)))) (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)))))
(.f64 (/.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a))) (/.f64 (.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64)))) (.f64 b_2 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64)))) (.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 c a))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 a c)))) a)
(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c))) b_2))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (.f64 (.f64 a c) (*.f64 a c)) #s(literal 1/4 binary64))) a)
(/.f64 (-.f64 (sqrt.f64 (.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a)))) a)
(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (.f64 c (-.f64 (/.f64 (*.f64 b_2 b_2) c) a))) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))) b_2)))
(/.f64 (-.f64 (sqrt.f64 (/.f64 c (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 b_2 (/.f64 c b_2)) a)))) b_2) a)
(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 c a))) a) (.f64 b_2 a)) (.f64 a a))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 c (-.f64 (/.f64 b_2 (/.f64 c b_2)) a))) b_2))) a)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 a (-.f64 (sqrt.f64 (.f64 c (-.f64 (/.f64 (*.f64 b_2 b_2) c) a))) b_2)))
(/.f64 (-.f64 (.f64 (sqrt.f64 (.f64 c (-.f64 (/.f64 b_2 (/.f64 c b_2)) a))) a) (.f64 b_2 a)) (.f64 a a))
(.f64 (-.f64 (.f64 (sqrt.f64 (.f64 c (-.f64 (/.f64 b_2 (/.f64 c b_2)) a))) a) (.f64 b_2 a)) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (+.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (.f64 c (.f64 a (.f64 a c)))) #s(literal 1/4 binary64))) a)
(/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 (.f64 c (-.f64 (/.f64 b_2 (/.f64 c b_2)) a))) a) (/.f64 a b_2)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 a b_2)))
(/.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 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 b_2)) (/.f64 #s(literal 1 binary64) a)) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (.f64 c (-.f64 (/.f64 b_2 (/.f64 c b_2)) a)) (.f64 b_2 b_2))) (+.f64 b_2 (sqrt.f64 (.f64 c (-.f64 (/.f64 b_2 (/.f64 c b_2)) a)))))
(/.f64 (-.f64 (.f64 b_2 b_2) (.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))) (.f64 a (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))))))
(/.f64 (/.f64 (-.f64 (.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a)) (.f64 b_2 b_2)) (-.f64 (sqrt.f64 (.f64 c (-.f64 (/.f64 (*.f64 b_2 b_2) c) a))) (-.f64 #s(literal 0 binary64) b_2))) a)
(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a))) (/.f64 #s(literal 1 binary64) a)) (-.f64 (-.f64 #s(literal 0 binary64) b_2) (sqrt.f64 (.f64 c (-.f64 (/.f64 (.f64 b_2 b_2) c) a)))))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (+.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (.f64 c (.f64 a (.f64 a c)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b_2 b_2) (*.f64 a c))))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (+.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))) (.f64 a (.f64 c (.f64 c (.f64 a (.f64 a c)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 c (.f64 a (.f64 a c))) (.f64 (.f64 b_2 b_2) (+.f64 (.f64 b_2 b_2) (.f64 a c))))))))) a)
(.f64 (exp.f64 (.f64 (log.f64 (/.f64 a #s(literal -2 binary64))) #s(literal -1 binary64))) b_2)
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 (/.f64 b_2 (/.f64 c b_2)) a)) (sqrt.f64 c)) b_2) a)
(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (.f64 (sqrt.f64 (-.f64 (/.f64 b_2 (/.f64 c b_2)) a)) (sqrt.f64 c)) b_2))
(/.f64 (+.f64 (neg.f64 b_2) (.f64 (pow.f64 (-.f64 (/.f64 (.f64 b_2 b_2) c) a) #s(literal 1/2 binary64)) (sqrt.f64 c))) a)
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (-.f64 (/.f64 (.f64 b_2 b_2) c) a) #s(literal 1/2 binary64)) (sqrt.f64 c)) a) (.f64 b_2 a)) (*.f64 a a))
(fma.f64 (sqrt.f64 c) (/.f64 (sqrt.f64 (-.f64 (/.f64 b_2 (/.f64 c b_2)) a)) a) (neg.f64 (/.f64 b_2 a)))
(/.f64 (-.f64 (exp.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (.f64 c c))) (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) a))))) b_2) a)
(fma.f64 (/.f64 (sqrt.f64 c) a) (/.f64 (sqrt.f64 (-.f64 (/.f64 b_2 (/.f64 c b_2)) a)) #s(literal 1 binary64)) (neg.f64 (/.f64 b_2 a)))

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

Calls

4 calls:

35.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
25.0ms	b_2
23.0ms	a
22.0ms	c

Results

Accuracy	Segments	Branch
53.8%	3	`a`
87.9%	3	`b_2`
56.9%	3	`c`
76.5%	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes27.0ms (0.2%)

Memory

-24.1MiB live, 52.5MiB allocated

Counts

45 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

13.0ms

b_2

Results

Accuracy	Segments	Branch
84.6%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes17.0ms (0.1%)

Memory

3.9MiB live, 39.5MiB allocated

Counts

41 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 b_2 a) #s(literal 2 binary64))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal -2 binary64)) b_2))
(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
(/.f64 (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) b_2) a)
(.f64 (.f64 b_2 #s(literal -1/2 binary64)) (neg.f64 (/.f64 c (*.f64 b_2 b_2))))
(/.f64 (neg.f64 (*.f64 b_2 #s(literal -1/2 binary64))) (/.f64 b_2 (/.f64 c b_2)))
(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) b_2)))
(+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a))
(-.f64 #s(literal 0 binary64) (.f64 b_2 (.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2)))))
(.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 (.f64 b_2 #s(literal -2 binary64)) a) c)))
(.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (.f64 (/.f64 b_2 a) #s(literal 2 binary64)) c)))
(-.f64 #s(literal 0 binary64) (.f64 b_2 (+.f64 (/.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) b_2) (/.f64 #s(literal 2 binary64) a))))
(/.f64 (.f64 c (+.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a c)) (.f64 b_2 b_2)) #s(literal -1/2 binary64))) b_2)
(.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 #s(literal 0 binary64) (.f64 b_2 (.f64 c (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a c)) (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2))))))
(/.f64 (.f64 (+.f64 #s(literal 2 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 c #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c c))) (*.f64 b_2 b_2))) b_2)
(/.f64 (-.f64 (.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) a)
(/.f64 (+.f64 (neg.f64 b_2) (.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (.f64 b_2 b_2))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (.f64 b_2 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) (.f64 b_2 b_2))))) a)
(.f64 (/.f64 #s(literal 1 binary64) b_2) (+.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 (.f64 c (.f64 c a)) (/.f64 #s(literal -1/8 binary64) (.f64 b_2 b_2)))))
(-.f64 #s(literal 0 binary64) (.f64 b_2 (+.f64 (.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal -1/2 binary64))))) (/.f64 #s(literal 2 binary64) a))))
(/.f64 (+.f64 (.f64 b_2 #s(literal 2 binary64)) (.f64 a (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 c b_2) #s(literal -6 binary64))) (.f64 b_2 b_2)) (/.f64 c b_2)))) a)
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 b_2 (+.f64 a (.f64 #s(literal 2 binary64) (/.f64 b_2 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))))) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 b_2 b_2))))
(-.f64 #s(literal 0 binary64) (.f64 b_2 (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 b_2 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))) (.f64 a #s(literal 1 binary64))) (.f64 a (/.f64 b_2 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))))))
(-.f64 #s(literal 0 binary64) (.f64 b_2 (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 b_2 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))) (.f64 a #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 b_2 a) c) (/.f64 #s(literal -1/2 binary64) b_2)))))
(.f64 (/.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (.f64 b_2 b_2)) (/.f64 (.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64)))) (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)))))
(/.f64 (.f64 (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 b_2 (/.f64 a #s(literal 2 binary64)))) (.f64 (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 b_2 (/.f64 a #s(literal 2 binary64)))) (+.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 b_2 (/.f64 a #s(literal 2 binary64)))))) (.f64 (.f64 b_2 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b_2 b_2) c)) (/.f64 #s(literal 2 binary64) a))) (.f64 b_2 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 (.f64 b_2 b_2) c)) (/.f64 #s(literal 2 binary64) a)))))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)) (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)))) (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64)))) (/.f64 (.f64 b_2 (.f64 b_2 b_2)) (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (.f64 b_2 b_2)) (/.f64 (.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64)))) (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)))))
(.f64 (/.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (.f64 b_2 b_2)) (/.f64 (.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 c a)) b_2) (.f64 b_2 #s(literal 2 binary64))) a) (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64)))) (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a)))))
(.f64 (/.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2))) (/.f64 #s(literal 2 binary64) a))) (/.f64 (.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64)))) (.f64 b_2 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64)))) (.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64))) (+.f64 (/.f64 b_2 (/.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) #s(literal 1 binary64)))))))

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

Calls

1 calls:

14.0ms

b_2

Results

Accuracy	Segments	Branch
68.6%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

14 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

b_2

Results

Accuracy	Segments	Branch
68.2%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Memory

-11.5MiB live, 26.0MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	c
2.0ms	a
2.0ms	b_2

Results

Accuracy	Segments	Branch
33.2%	1	`a`
33.2%	1	`c`
42.3%	2	`b_2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

b_2

Results

Accuracy	Segments	Branch
42.1%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

Memory

16.8MiB live, 16.8MiB allocated

Accuracy

Total -0.6b remaining (-1.1%)

Threshold costs -0.6b (-1.1%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 0 binary64)

Calls

3 calls:

2.0ms	b_2
2.0ms	c
1.0ms	a

Results

Accuracy	Segments	Branch
11.8%	1	`a`
11.8%	1	`c`
11.8%	1	`b_2`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch36.0ms (0.3%)

Memory

-5.1MiB live, 74.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
21.0ms	2.1412445890571138e-39	1.5059609859826167e-37
12.0ms	-5.681813275842902e+112	-3.167945095235715e+112

Samples

13.0ms	80×	0	valid
7.0ms	29×	2	valid
4.0ms	35×	1	valid
2.0ms	36×	0	invalid

Compiler

Compiled 244 to 169 computations (30.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 11.0ms (56.9% of total)

ival-div: 2.0ms (10.3% of total)

ival-sqrt: 2.0ms (10.3% of total)

adjust: 1.0ms (5.2% of total)

ival-sub: 1.0ms (5.2% of total)

ival-neg: 1.0ms (5.2% of total)

ival-add: 1.0ms (5.2% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

bsearch65.0ms (0.5%)

Memory

-18.2MiB live, 102.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
37.0ms	5.686323943979855e-53	1.9149254001373072e-48
23.0ms	-5.312392908787947e-33	-4.835809024919477e-52

Samples

20.0ms	27×	2	valid
17.0ms	231×	0	valid
7.0ms	80×	0	invalid
4.0ms	30×	1	valid

Compiler

Compiled 493 to 362 computations (26.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-neg: 18.0ms (52.8% of total)

ival-mult: 5.0ms (14.7% of total)

ival-div: 3.0ms (8.8% of total)

ival-sqrt: 3.0ms (8.8% of total)

ival-sub: 2.0ms (5.9% of total)

ival-add: 2.0ms (5.9% of total)

adjust: 1.0ms (2.9% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

bsearch30.0ms (0.3%)

Memory

34.8MiB live, 68.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	-5.053206155381446e-298	1.9952471140834967e-293

Samples

12.0ms	176×	0	valid
3.0ms	50×	0	invalid

Compiler

Compiled 283 to 214 computations (24.4% saved)

Precisions

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

ival-mult: 3.0ms (33.1% of total)

ival-div: 2.0ms (22% of total)

ival-sub: 1.0ms (11% of total)

ival-add: 1.0ms (11% of total)

ival-sqrt: 1.0ms (11% of total)

ival-neg: 1.0ms (11% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch28.0ms (0.2%)

Memory

-25.5MiB live, 51.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	-5.053206155381446e-298	1.9952471140834967e-293

Samples

12.0ms	176×	0	valid
5.0ms	66×	0	invalid

Compiler

Compiled 217 to 170 computations (21.7% saved)

Precisions

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

ival-mult: 3.0ms (28.7% of total)

ival-div: 2.0ms (19.2% of total)

ival-sqrt: 2.0ms (19.2% of total)

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

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

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

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch34.0ms (0.3%)

Memory

12.8MiB live, 56.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	-5.053206155381446e-298	1.9952471140834967e-293

Samples

18.0ms	176×	0	valid
5.0ms	81×	0	invalid

Compiler

Compiled 173 to 148 computations (14.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 10.0ms (58.4% of total)

ival-div: 2.0ms (11.7% of total)

ival-sqrt: 2.0ms (11.7% of total)

ival-sub: 1.0ms (5.8% of total)

ival-add: 1.0ms (5.8% of total)

ival-neg: 1.0ms (5.8% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch31.0ms (0.3%)

Memory

-21.2MiB live, 57.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	-5.053206155381446e-298	1.9952471140834967e-293

Samples

11.0ms	176×	0	valid
8.0ms	102×	0	invalid

Compiler

Compiled 173 to 148 computations (14.5% saved)

Precisions

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

ival-mult: 3.0ms (25.2% of total)

ival-sqrt: 3.0ms (25.2% of total)

ival-div: 2.0ms (16.8% of total)

ival-sub: 1.0ms (8.4% of total)

ival-add: 1.0ms (8.4% of total)

ival-neg: 1.0ms (8.4% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Memory

22.6MiB live, 22.6MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
16×	`+-commutative_binary64`
14×	`sub-neg_binary64`
8×	`cancel-sign-sub-inv_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	118
1	61	118
2	77	118
3	84	118
4	88	118
5	89	118

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 6742980379809911/3064991081731777716716694054300618367237478244367204352 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -1376851462496697/11972621413014756705924586149611790497021399392059392 binary64)) (+.f64 (/.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 2123095800038113/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c))) b_2) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) #s(literal 0 binary64))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 0 binary64))
#s(literal 0 binary64)

Outputs
(if (<=.f64 b_2 #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 6742980379809911/3064991081731777716716694054300618367237478244367204352 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -1376851462496697/11972621413014756705924586149611790497021399392059392 binary64)) (+.f64 (/.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 2123095800038113/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c))) b_2) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -1376851462496697/11972621413014756705924586149611790497021399392059392 binary64)) (+.f64 (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2)) (if (<=.f64 b_2 #s(literal 2123095800038113/1684996666696914987166688442938726917102321526408785780068975640576 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 a c))) b_2) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (+.f64 (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (+.f64 (/.f64 (.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))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) #s(literal 0 binary64))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 0 binary64))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness926.0ms (7.6%)

Memory

-5.3MiB live, 998.3MiB allocated

Rules

12 122×	`accelerator-lowering-fma.f32`
12 122×	`accelerator-lowering-fma.f64`
11 422×	`accelerator-lowering-fma.f32`
11 422×	`accelerator-lowering-fma.f64`
11 022×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	508	3176
1	1606	3136
2	5520	3120
0	8782	2984
0	10	39
1	57	37
2	456	37
3	5874	37
0	8926	33
0	1040	11675
1	3399	11060
0	8497	10546
0	41	236
1	247	214
2	2389	214
0	8171	209
0	563	6676
1	1781	6598
2	6027	6542
0	8091	6289

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 368 to 216 computations (41.3% saved)

preprocess100.0ms (0.8%)

Memory: -23.6MiB live, 183.7MiB allocated
Compiler: Compiled 460 to 160 computations (65.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	50
1	21	48
2	38	48
3	67	48
4	106	48
5	182	48
6	314	48
7	460	48
8	802	48
9	915	48
10	947	48
11	958	48
12	959	48
0	959	48

Iter	Nodes	Cost
0	10	50
1	21	48
2	38	48
3	67	48
4	106	48
5	182	48
6	314	48
7	460	48
8	802	48
9	915	48
10	947	48
11	958	48
12	959	48
0	959	48

analyze223.0ms (1.8%)

sample1.7s (13.8%)

preprocess126.0ms (1%)

explain198.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify34.0ms (0.3%)

localize47.0ms (0.4%)

series19.0ms (0.2%)

rewrite289.0ms (2.4%)

simplify460.0ms (3.8%)

eval96.0ms (0.8%)

prune95.0ms (0.8%)

simplify201.0ms (1.7%)

localize290.0ms (2.4%)

series103.0ms (0.8%)

rewrite392.0ms (3.2%)

simplify582.0ms (4.8%)

eval262.0ms (2.2%)

prune313.0ms (2.6%)

simplify368.0ms (3%)

localize169.0ms (1.4%)

series50.0ms (0.4%)

rewrite502.0ms (4.1%)

simplify543.0ms (4.5%)

eval347.0ms (2.9%)

prune287.0ms (2.4%)

simplify411.0ms (3.4%)

localize277.0ms (2.3%)

series76.0ms (0.6%)

rewrite521.0ms (4.3%)

simplify785.0ms (6.5%)

eval471.0ms (3.9%)

prune490.0ms (4%)

regimes114.0ms (0.9%)

regimes27.0ms (0.2%)

regimes17.0ms (0.1%)

regimes6.0ms (0%)

regimes10.0ms (0.1%)

regimes3.0ms (0%)

regimes5.0ms (0%)

bsearch36.0ms (0.3%)

bsearch65.0ms (0.5%)

bsearch30.0ms (0.3%)

bsearch28.0ms (0.2%)

bsearch34.0ms (0.3%)

bsearch31.0ms (0.3%)

simplify10.0ms (0.1%)

soundness926.0ms (7.6%)

preprocess100.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	50
1	21	48
2	38	48
3	67	48
4	106	48
5	182	48
6	314	48
7	460	48
8	802	48
9	915	48
10	947	48
11	958	48
12	959	48
0	959	48