Metrics for quad2p (problem 3.2.1, positive)

analyze159.0ms (1.5%)

Memory

-27.3MiB live, 168.8MiB 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)

sample1.6s (15.5%)

Memory

48.3MiB live, 1 789.1MiB allocated

Samples

587.0ms	5 510×	0	valid
269.0ms	1 188×	2	valid
188.0ms	1 337×	1	valid
142.0ms	1 104×	0	invalid
54.0ms	212×	3	valid
3.0ms	9×	4	valid

Precisions

Click to see histograms. Total time spent on operations: 800.0ms

ival-mult: 190.0ms (23.7% of total)

ival-sqrt: 162.0ms (20.2% of total)

ival-div: 115.0ms (14.4% of total)

ival-neg: 114.0ms (14.2% of total)

ival-sub: 78.0ms (9.7% of total)

ival-add: 69.0ms (8.6% of total)

adjust: 62.0ms (7.7% of total)

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

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

Bogosity

preprocess151.0ms (1.4%)

Memory

-18.3MiB live, 98.7MiB allocated

Algorithm

1×	egg-herbie

Rules

986×	`div-sub`
756×	`times-frac`
416×	`lower-fma.f64`
416×	`lower-fma.f32`
416×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	118
1	114	111
2	245	109
3	674	109
4	1757	109
5	3192	109
6	3780	109
7	3870	109
8	3962	109
9	3994	109
10	3994	109
0	10	13
0	17	13
1	28	12
2	45	12
3	74	12
4	113	12
5	189	12
6	319	12
7	464	12
8	807	12
9	920	12
10	952	12
11	963	12
12	964	12
0	964	12

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

explain160.0ms (1.5%)

Memory

3.6MiB live, 309.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
110	0	-	0	-	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
60	1	(-1.2015125032742831e+85 2.3844327065683205e+236 -9.924102044507508e-172)	0	-	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
15	0	-	2	(3.232005739663296e-280 1.651678138376079e-257 -1.728046291260752e-298)	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
2	0	-	0	-	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`
0	0	-	0	-	`(*.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	100	0
↳	`(*.f64 b_2 b_2)`	overflow	82
↳	`(*.f64 a c)`	overflow	30
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	overflow	100
`+.f64`	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	cancellation	61	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`	u/n	13	0
↳	`(*.f64 b_2 b_2)`	underflow	44
↳	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	underflow	25
↳	`(*.f64 a c)`	underflow	33
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	10
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	uflow-rescue	10	0
↳	`(*.f64 b_2 b_2)`	underflow	44
↳	`(*.f64 a c)`	underflow	33
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	10
`-.f64`	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	nan-rescue	2	0
↳	`(*.f64 b_2 b_2)`	overflow	82
↳	`(*.f64 a c)`	overflow	30

Confusion

	Predicted +	Predicted -
+	139	0
-	12	105

Precision

0.9205298013245033

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	139	0	0
-	12	0	105

Precision?

0.9205298013245033

Recall?

1.0

Freqs

test

number	freq
0	105
1	117
2	33
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms	344×	0	valid
15.0ms	70×	2	valid
13.0ms	80×	1	valid
5.0ms	18×	3	valid

Compiler

Compiled 136 to 44 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 10.0ms (26.3% of total)

ival-sqrt: 6.0ms (15.8% of total)

ival-div: 5.0ms (13.2% of total)

ival-sub: 4.0ms (10.5% of total)

adjust: 4.0ms (10.5% of total)

ival-add: 4.0ms (10.5% of total)

ival-neg: 3.0ms (7.9% of total)

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

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

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune4.0ms (0%)

Memory

-36.1MiB live, 2.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.0%	(/.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)

simplify38.0ms (0.4%)

Memory

27.9MiB live, 68.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	cost-diff	0	(neg.f64 b_2)
✓	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×	`lower-fma.f64`
416×	`lower-fma.f32`
264×	`lower-*.f32`
260×	`lower-*.f64`
142×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	50
0	17	50
1	28	48
2	45	48
3	74	48
4	113	48
5	189	48
6	319	48
7	464	48
8	807	48
9	920	48
10	952	48
11	963	48
12	964	48
0	964	48

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize45.0ms (0.4%)

Memory

6.6MiB live, 85.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	94.7%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	accuracy	78.8%	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	accuracy	59.9%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Samples

13.0ms	172×	0	valid
11.0ms	35×	2	valid
7.0ms	40×	1	valid
2.0ms	9×	3	valid

Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions

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

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

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

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

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

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

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

adjust: 2.0ms (9% of total)

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

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

series19.0ms (0.2%)

Memory

2.9MiB live, 41.8MiB allocated

Counts

5 → 156

Calls

Call 1

Inputs
#<alt (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))>
#<alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)>
#<alt (neg.f64 b_2)>
#<alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))>
#<alt (-.f64 (.f64 b_2 b_2) (.f64 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 (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* (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

39 calls:

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

simplify427.0ms (4.1%)

Memory

29.7MiB live, 682.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 022×	`lower-fma.f64`
11 022×	`lower-fma.f32`
7 132×	`lower-*.f64`
7 132×	`lower-*.f32`
3 498×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	508	3200
1	1606	3160
2	5520	3144
0	8782	3008

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 153

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

rewrite303.0ms (2.9%)

Memory

-15.1MiB live, 390.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 984×	`lower-fma.f64`
3 984×	`lower-fma.f32`
2 962×	`lower-*.f32`
2 958×	`lower-*.f64`
1 432×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
0	17	41
1	64	39
2	463	38
3	5888	38
0	8611	34

Stop Event

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

Counts

5 → 449

Calls

Call 1

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

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

eval79.0ms (0.8%)

Memory: -10.2MiB live, 136.1MiB allocated
Compiler: Compiled 18 587 to 2 099 computations (88.7% saved)

prune98.0ms (0.9%)

Memory

-3.2MiB live, 256.8MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	595	7	602
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	596	7	603

Accuracy

90.5%

Counts

603 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))) a)
▶	33.8%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c))))) a)
	10.7%	(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2))) a)
▶	27.6%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2)) a)
▶	31.6%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
	27.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a (.f64 c c)) (.f64 b_2 b_2)) (.f64 c #s(literal -1/2 binary64))) b_2))
▶	35.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))

Compiler

Compiled 184 to 122 computations (33.7% saved)

simplify116.0ms (1.1%)

Memory

3.6MiB live, 81.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c))))
✓	cost-diff	0	(neg.f64 b_2)
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c))))) a)
✓	cost-diff	1088	(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c)))))
✓	cost-diff	0	(*.f64 c #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 a (.f64 c #s(literal -1/2 binary64)))
✓	cost-diff	0	(/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2)
✓	cost-diff	0	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2)) a)
✓	cost-diff	0	(*.f64 b_2 #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
✓	cost-diff	0	(*.f64 c #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	cost-diff	0	(neg.f64 b_2)
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))) a)
✓	cost-diff	384	(fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))
✓	cost-diff	1088	(+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))))

Rules

1 008×	`lower-fma.f32`
1 006×	`lower-fma.f64`
856×	`lower-*.f32`
846×	`lower-*.f64`
728×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	196
0	52	196
1	76	187
2	105	187
3	157	187
4	209	187
5	283	187
6	438	187
7	613	187
8	1063	187
9	1681	187
10	2463	187
11	2582	187
12	2600	187
13	2615	187
14	2627	187
15	2627	187
16	2629	187
17	2733	187
18	3384	187
0	3384	187

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize113.0ms (1.1%)

Memory

15.5MiB live, 207.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 b_2)
✓	accuracy	94.7%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c))))) a)
✓	accuracy	78.8%	(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c)))))
✓	accuracy	59.9%	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c))))
✓	accuracy	100.0%	(*.f64 c #s(literal -1/2 binary64))
✓	accuracy	100.0%	(.f64 a (.f64 c #s(literal -1/2 binary64)))
✓	accuracy	94.7%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2)) a)
✓	accuracy	92.1%	(/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2)
✓	accuracy	100.0%	(*.f64 b_2 #s(literal -2 binary64))
✓	accuracy	94.7%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
✓	accuracy	100.0%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	accuracy	100.0%	(*.f64 c #s(literal -1/2 binary64))
✓	accuracy	100.0%	(fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))
✓	accuracy	94.7%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))) a)
✓	accuracy	78.8%	(+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))))
✓	accuracy	59.9%	(sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))

Samples

33.0ms	172×	0	valid
16.0ms	35×	2	valid
13.0ms	40×	1	valid
4.0ms	6×	3	valid
2.0ms	3×	4	valid

Compiler

Compiled 202 to 26 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 12.0ms (27.3% of total)

ival-div: 11.0ms (25.1% of total)

ival-sqrt: 6.0ms (13.7% of total)

ival-add: 5.0ms (11.4% of total)

adjust: 4.0ms (9.1% of total)

ival-neg: 3.0ms (6.8% of total)

ival-sub: 2.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

series54.0ms (0.5%)

Memory

-7.1MiB live, 35.5MiB allocated

Counts

15 → 444

Calls

Call 1

Inputs
#<alt (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))))>
#<alt (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))>
#<alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))) a)>
#<alt (neg.f64 b_2)>
#<alt (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)>
#<alt (*.f64 c #s(literal -1/2 binary64))>
#<alt (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)>
#<alt (*.f64 b_2 #s(literal -2 binary64))>
#<alt (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2)) a)>
#<alt (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2)>
#<alt (.f64 a (.f64 c #s(literal -1/2 binary64)))>
#<alt (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c)))))>
#<alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c))))) a)>
#<alt (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c))))>
#<alt (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))>

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

Calls

111 calls:

Time	Variable		Point	Expression
32.0ms	a	@	0	(/ (* a (* c -1/2)) b_2)
1.0ms	a	@	-inf	(/ (* a (* c -1/2)) b_2)
1.0ms	c	@	0	(/ (* a (* c -1/2)) b_2)
1.0ms	a	@	inf	(/ (* a (* c -1/2)) b_2)
1.0ms	c	@	0	(/ (* c -1/2) b_2)

simplify439.0ms (4.2%)

Memory

-7.5MiB live, 596.7MiB allocated

Algorithm

1×	egg-herbie

Rules

13 914×	`lower-fma.f64`
13 914×	`lower-fma.f32`
7 274×	`lower-*.f64`
7 274×	`lower-*.f32`
3 478×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	507	8508
1	1614	8379
2	5552	8311
0	8195	7955

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 438

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

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

rewrite283.0ms (2.7%)

Memory

11.3MiB live, 370.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 248×	`lower-fma.f32`
5 246×	`lower-fma.f64`
3 736×	`lower-*.f32`
3 726×	`lower-*.f64`
2 126×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	122
0	51	122
1	151	116
2	782	115
0	9875	106

Stop Event

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

Counts

15 → 1 018

Calls

Call 1

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

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

eval137.0ms (1.3%)

Memory: -3.5MiB live, 251.6MiB allocated
Compiler: Compiled 31 431 to 2 000 computations (93.6% saved)

prune162.0ms (1.5%)

Memory

25.5MiB live, 221.3MiB allocated

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	1 193	9	1 202
Fresh	1	1	2
Picked	2	3	5
Done	0	0	0
Total	1 196	13	1 209

Accuracy

90.5%

Counts

1 209 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.9%	(fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))) (/.f64 #s(literal 1 binary64) a) (/.f64 b_2 a))
▶	2.6%	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))) a)
▶	33.8%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))) b_2) a)
	31.2%	(/.f64 (+.f64 (neg.f64 b_2) (/.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))))) a)
✓	48.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))) a)
▶	2.6%	(/.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))) a)
✓	31.6%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
	31.5%	(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))))
▶	31.4%	(.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))
	2.6%	(.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))
	15.3%	(exp.f64 (.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))) #s(literal -1 binary64)))
▶	27.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a (.f64 c c)) (.f64 b_2 b_2)) (.f64 c #s(literal -1/2 binary64))) b_2))
✓	35.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))

Compiler

Compiled 286 to 204 computations (28.7% saved)

simplify1.0s (9.7%)

Memory

-7.0MiB live, 1 202.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 a (.f64 c c))
✓	cost-diff	0	(/.f64 (.f64 a (.f64 c c)) (*.f64 b_2 b_2))
✓	cost-diff	0	(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a (.f64 c c)) (.f64 b_2 b_2)) (.f64 c #s(literal -1/2 binary64))) b_2)
✓	cost-diff	320	(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a (.f64 c c)) (.f64 b_2 b_2)) (.f64 c #s(literal -1/2 binary64)))
✓	cost-diff	0	(*.f64 b_2 #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))
✓	cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))) a)
✓	cost-diff	1280	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))))
✓	cost-diff	0	(*.f64 b_2 #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) a)
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))
✓	cost-diff	0	(*.f64 b_2 #s(literal -2 binary64))
✓	cost-diff	0	(neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))
✓	cost-diff	0	(/.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))) a)
✓	cost-diff	0	(*.f64 c (neg.f64 a))
✓	cost-diff	0	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a))))
✓	cost-diff	0	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))) b_2) a)
✓	cost-diff	960	(-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))) b_2)

Rules

50 820×	`lower-fma.f32`
50 818×	`lower-fma.f64`
3 406×	`lower-*.f32`
3 392×	`lower-*.f64`
2 568×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	260
0	62	242
1	113	238
2	226	238
3	691	238
4	2690	236
5	4938	236
6	6039	236
7	6528	236
8	6893	236
9	7028	236
10	7041	236
11	7672	236
12	7861	236
13	7903	236
14	7905	236
15	7907	236
16	7911	236
17	7911	236
0	8941	234

Stop Event

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

Calls

Call 1

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

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

localize254.0ms (2.4%)

Memory

-19.7MiB live, 265.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a (.f64 c c)) (.f64 b_2 b_2)) (.f64 c #s(literal -1/2 binary64)))
✓	accuracy	99.2%	(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a (.f64 c c)) (.f64 b_2 b_2)) (.f64 c #s(literal -1/2 binary64))) b_2)
✓	accuracy	88.4%	(.f64 a (.f64 c c))
✓	accuracy	73.4%	(/.f64 (.f64 a (.f64 c c)) (*.f64 b_2 b_2))
✓	accuracy	100.0%	(*.f64 b_2 #s(literal -2 binary64))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))
✓	accuracy	99.2%	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))))
✓	accuracy	94.7%	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))) a)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) a)
✓	accuracy	100.0%	(*.f64 b_2 #s(literal -2 binary64))
✓	accuracy	94.4%	(.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))
✓	accuracy	100.0%	(*.f64 b_2 #s(literal -2 binary64))
✓	accuracy	100.0%	(neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))
✓	accuracy	94.7%	(/.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))) a)
✓	accuracy	100.0%	(neg.f64 a)
✓	accuracy	94.7%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))) b_2) a)
✓	accuracy	78.8%	(-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))) b_2)
✓	accuracy	59.9%	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a))))

Samples

83.0ms	9×	3	valid
62.0ms	172×	0	valid
20.0ms	35×	2	valid
18.0ms	40×	1	valid

Compiler

Compiled 264 to 36 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-mult: 40.0ms (39.7% of total)

ival-neg: 24.0ms (23.8% of total)

ival-div: 20.0ms (19.8% of total)

ival-sqrt: 5.0ms (5% of total)

ival-sub: 4.0ms (4% of total)

adjust: 4.0ms (4% of total)

ival-add: 4.0ms (4% of total)

exact: 1.0ms (1% of total)

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

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

series53.0ms (0.5%)

Memory

17.2MiB live, 134.7MiB allocated

Counts

17 → 516

Calls

Call 1

Inputs
#<alt (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))) b_2)>
#<alt (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))) b_2) a)>
#<alt (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a))))>
#<alt (*.f64 c (neg.f64 a))>
#<alt (/.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))) a)>
#<alt (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))>
#<alt (*.f64 b_2 #s(literal -2 binary64))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) a)>
#<alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))))>
#<alt (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))) a)>
#<alt (/.f64 #s(literal 1 binary64) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))>
#<alt (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a (.f64 c c)) (.f64 b_2 b_2)) (.f64 c #s(literal -1/2 binary64)))>
#<alt (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a (.f64 c c)) (.f64 b_2 b_2)) (.f64 c #s(literal -1/2 binary64))) b_2)>
#<alt (/.f64 (.f64 a (.f64 c c)) (*.f64 b_2 b_2))>
#<alt (.f64 a (.f64 c c))>
#<alt (neg.f64 a)>

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

Calls

129 calls:

Time	Variable		Point	Expression
6.0ms	a	@	inf	(+ (* -1/8 (/ (* a (* c c)) (* b_2 b_2))) (* c -1/2))
3.0ms	a	@	-inf	(/ 1 (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))
2.0ms	c	@	0	(/ -1 (/ 1 (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))))
1.0ms	a	@	inf	(/ 1 (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))
1.0ms	c	@	inf	(/ 1 (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))

simplify442.0ms (4.2%)

Memory

-9.6MiB live, 676.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 790×	`lower-fma.f64`
7 790×	`lower-fma.f32`
6 704×	`lower-*.f64`
6 704×	`lower-*.f32`
5 352×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1107	10419
1	3701	10240
0	8158	9814

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 513

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

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

rewrite467.0ms (4.5%)

Memory

27.9MiB live, 659.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 356×	`lower-fma.f32`
5 354×	`lower-fma.f64`
4 174×	`lower-*.f32`
4 160×	`lower-*.f64`
4 010×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	172
0	59	158
1	210	154
2	1431	148
0	8506	148

Stop Event

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

Counts

17 → 1 319

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))) #s(literal -1 binary64))))
(+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c)))) (neg.f64 b_2))
(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c)))))
(+.f64 #s(literal 0 binary64) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))
(+.f64 (/.f64 (.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 a (neg.f64 c))) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 a (neg.f64 c))))) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 a (neg.f64 c))))) #s(approx (- ( b_2 b_2) (* a c)) (.f64 a (neg.f64 c))))) (neg.f64 (/.f64 (.f64 b_2 (.f64 b_2 b_2)) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 a (neg.f64 c))))) #s(approx (- ( b_2 b_2) (* a c)) (*.f64 a (neg.f64 c)))))))
(+.f64 (/.f64 (.f64 b_2 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 a (neg.f64 c)))))) (neg.f64 (/.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 a (neg.f64 c))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 a (neg.f64 c))))))))
(+.f64 (/.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 a (neg.f64 c))) (+.f64 b_2 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 a (neg.f64 c)))))) (neg.f64 (/.f64 (.f64 b_2 b_2) (+.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c))))))))
(-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c)))) b_2)
(-.f64 (neg.f64 b_2) (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c))))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))))
(-.f64 (/.f64 (.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 a (neg.f64 c))) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 a (neg.f64 c))))) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 a (neg.f64 c))))) #s(approx (- ( b_2 b_2) (* a c)) (.f64 a (neg.f64 c))))) (/.f64 (.f64 b_2 (.f64 b_2 b_2)) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 a (neg.f64 c))))) #s(approx (- ( b_2 b_2) (* a c)) (*.f64 a (neg.f64 c))))))
(-.f64 (/.f64 (.f64 b_2 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 a (neg.f64 c)))))) (/.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 a (neg.f64 c))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 a (neg.f64 c)))))))
(-.f64 (/.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 a (neg.f64 c))) (+.f64 b_2 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 a (neg.f64 c)))))) (/.f64 (.f64 b_2 b_2) (+.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c)))))))
(-.f64 (/.f64 b_2 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 a (neg.f64 c))) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 a (neg.f64 c))))) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 a (neg.f64 c))))) #s(approx (- ( b_2 b_2) (* a c)) (.f64 a (neg.f64 c))))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 b_2 (.f64 b_2 b_2)) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 a (neg.f64 c))))) #s(approx (- ( b_2 b_2) (* a c)) (*.f64 a (neg.f64 c))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 b_2 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 a (neg.f64 c)))))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 a (neg.f64 c))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 a (neg.f64 c)))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 a (neg.f64 c))) (+.f64 b_2 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 a (neg.f64 c)))))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 b_2 b_2) (+.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c)))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 a (neg.f64 c))) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 a (neg.f64 c))))) (+.f64 (fma.f64 b_2 b_2 #s(approx (- ( b_2 b_2) (* a c)) (.f64 a (neg.f64 c)))) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 a (neg.f64 c))))))) (/.f64 (.f64 b_2 (.f64 b_2 b_2)) (+.f64 (fma.f64 b_2 b_2 #s(approx (- ( b_2 b_2) (* a c)) (.f64 a (neg.f64 c)))) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c))))))))
(fma.f64 b_2 #s(literal -1 binary64) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c)))))
(fma.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 a (neg.f64 c))) (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 a (neg.f64 c)))))) (neg.f64 (/.f64 (.f64 b_2 b_2) (+.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c))))))))
(fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c)))) #s(literal 1 binary64) (neg.f64 b_2))
(fma.f64 (neg.f64 b_2) #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c)))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c)))) (neg.f64 b_2))
(fma.f64 #s(literal 1 binary64) (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c)))))
(fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c)))))
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(.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 c (.f64 a c)) (.f64 b_2 b_2)) (*.f64 c #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b_2))
(.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 c (.f64 c c)) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 c (.f64 a c))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 c (.f64 a c)) (.f64 c (.f64 a c))))) (.f64 (.f64 b_2 b_2) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 c #s(literal -1/2 binary64)) (-.f64 (.f64 c #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c (.f64 a c))) (.f64 b_2 b_2))) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 c (.f64 a c)) (.f64 c (.f64 a c)))) (.f64 b_2 (.f64 b_2 (*.f64 b_2 b_2)))))) b_2))
(.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 c (.f64 c c)) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 c (.f64 a c))) (.f64 #s(literal 1/64 binary64) (.f64 (.f64 c (.f64 a c)) (.f64 c (.f64 a c))))) (.f64 (.f64 b_2 b_2) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 c #s(literal -1/2 binary64)) (-.f64 (.f64 c #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c (.f64 a c))) (.f64 b_2 b_2))) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 c (.f64 a c)) (.f64 c (.f64 a c)))) (.f64 b_2 (.f64 b_2 (*.f64 b_2 b_2)))))) (neg.f64 b_2)))
(.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 c (.f64 a c)) (.f64 c (.f64 a c)))) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))) (.f64 (.f64 c c) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 (.f64 c (/.f64 c (.f64 b_2 b_2))) #s(literal -1/8 binary64)) (.f64 #s(literal 1/2 binary64) c))) b_2))
(.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 c (.f64 a c)) (.f64 c (.f64 a c)))) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))) (.f64 (.f64 c c) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 (.f64 c (/.f64 c (.f64 b_2 b_2))) #s(literal -1/8 binary64)) (.f64 #s(literal 1/2 binary64) c))) (neg.f64 b_2)))
(.f64 (/.f64 (fma.f64 (.f64 c #s(literal -1/2 binary64)) (-.f64 (.f64 c #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c (.f64 a c))) (.f64 b_2 b_2))) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 c (.f64 a c)) (.f64 c (.f64 a c)))) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))) b_2) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 c (.f64 a c)) (.f64 b_2 b_2)) (.f64 c #s(literal -1/2 binary64))) (fma.f64 (.f64 c #s(literal -1/2 binary64)) (-.f64 (.f64 c #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c (.f64 a c))) (.f64 b_2 b_2))) (/.f64 (.f64 #s(literal 1/64 binary64) (.f64 (.f64 c (.f64 a c)) (.f64 c (.f64 a c)))) (.f64 b_2 (.f64 b_2 (*.f64 b_2 b_2)))))))
(.f64 (pow.f64 (/.f64 b_2 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 c (.f64 a c)) (.f64 b_2 b_2)) (.f64 c #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 b_2 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 c (.f64 a c)) (.f64 b_2 b_2)) (*.f64 c #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 b_2 b_2) (.f64 c (.f64 a c)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 c (.f64 a c)) (*.f64 b_2 (neg.f64 b_2))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 b_2 (neg.f64 b_2))) (/.f64 (.f64 c (.f64 a c)) (.f64 b_2 (neg.f64 b_2))))
(neg.f64 (/.f64 (.f64 c (.f64 a c)) (*.f64 b_2 (neg.f64 b_2))))
(/.f64 a (/.f64 (.f64 b_2 b_2) (.f64 c c)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b_2 b_2) (.f64 c (*.f64 a c))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 b_2 b_2) (.f64 c (*.f64 a c))))))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (.f64 (/.f64 a b_2) (.f64 c c))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 b_2 b_2) (.f64 c (*.f64 a c)))))
(/.f64 (.f64 c (.f64 a c)) (*.f64 b_2 b_2))
(/.f64 (.f64 (.f64 a (neg.f64 c)) c) (*.f64 b_2 (neg.f64 b_2)))
(/.f64 (/.f64 a b_2) (/.f64 b_2 (*.f64 c c)))
(/.f64 (/.f64 (*.f64 c c) b_2) (/.f64 b_2 a))
(/.f64 (/.f64 (.f64 c (.f64 a c)) b_2) b_2)
(/.f64 (.f64 c (/.f64 c (.f64 b_2 b_2))) (/.f64 #s(literal 1 binary64) a))
(/.f64 (neg.f64 (/.f64 (.f64 c (.f64 a c)) b_2)) (neg.f64 b_2))
(/.f64 (.f64 (/.f64 a b_2) (.f64 c c)) b_2)
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 c (.f64 a c)) b_2))) b_2)
(/.f64 (neg.f64 (.f64 (/.f64 a b_2) (.f64 c c))) (neg.f64 b_2))
(pow.f64 (/.f64 (.f64 b_2 b_2) (.f64 c (*.f64 a c))) #s(literal -1 binary64))
(.f64 a (.f64 c (/.f64 c (*.f64 b_2 b_2))))
(.f64 (.f64 a c) (/.f64 c (*.f64 b_2 b_2)))
(.f64 (neg.f64 a) (/.f64 (.f64 c c) (*.f64 b_2 (neg.f64 b_2))))
(.f64 (neg.f64 a) (/.f64 (neg.f64 (.f64 c c)) (*.f64 b_2 b_2)))
(.f64 (neg.f64 a) (/.f64 (/.f64 (.f64 c c) b_2) (neg.f64 b_2)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 c (.f64 a c)) (.f64 b_2 b_2)))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 c (.f64 a c)) (.f64 b_2 (neg.f64 b_2))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (.f64 b_2 b_2) (.f64 c (.f64 a c))))))
(.f64 (.f64 c c) (/.f64 a (*.f64 b_2 b_2)))
(.f64 (.f64 c (.f64 a c)) (/.f64 #s(literal 1 binary64) (.f64 b_2 b_2)))
(.f64 (.f64 (.f64 a (neg.f64 c)) c) (/.f64 #s(literal -1 binary64) (.f64 b_2 b_2)))
(.f64 (/.f64 a b_2) (/.f64 (.f64 c c) b_2))
(.f64 (/.f64 (.f64 c c) b_2) (/.f64 a b_2))
(.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 (.f64 c (*.f64 a c)) b_2))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 b_2 b_2)) (.f64 c (.f64 a c)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 b_2 b_2)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a c))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 c (*.f64 a c)) b_2) (/.f64 #s(literal 1 binary64) b_2))
(.f64 (.f64 c (/.f64 c (*.f64 b_2 b_2))) a)
(.f64 (neg.f64 (/.f64 (.f64 c (*.f64 a c)) b_2)) (/.f64 #s(literal -1 binary64) b_2))
(.f64 (/.f64 (.f64 a c) b_2) (/.f64 c b_2))
(.f64 (/.f64 c b_2) (/.f64 (.f64 a c) b_2))
(.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 (.f64 c (*.f64 a c)) (neg.f64 b_2)))
(.f64 (.f64 (/.f64 a b_2) (*.f64 c c)) (/.f64 #s(literal 1 binary64) b_2))
(.f64 (pow.f64 (/.f64 b_2 (.f64 a c)) #s(literal -1 binary64)) (pow.f64 (/.f64 b_2 c) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 c (*.f64 a c)) (neg.f64 b_2)) (/.f64 #s(literal -1 binary64) b_2))
(.f64 (/.f64 a (neg.f64 b_2)) (/.f64 (.f64 c c) (neg.f64 b_2)))
(.f64 (/.f64 a (neg.f64 b_2)) (/.f64 (neg.f64 (.f64 c c)) b_2))
(.f64 (/.f64 (.f64 c c) (neg.f64 b_2)) (/.f64 a (neg.f64 b_2)))
(.f64 (/.f64 (.f64 c c) (neg.f64 b_2)) (/.f64 (neg.f64 a) b_2))
(.f64 (/.f64 a (.f64 (neg.f64 b_2) #s(literal -1 binary64))) (/.f64 (*.f64 c c) b_2))
(.f64 (/.f64 c (neg.f64 b_2)) (/.f64 (.f64 a c) (neg.f64 b_2)))
(.f64 (/.f64 (.f64 a c) (neg.f64 b_2)) (/.f64 c (neg.f64 b_2)))
(.f64 (/.f64 (.f64 a c) (neg.f64 b_2)) (/.f64 (neg.f64 c) b_2))
(.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 (.f64 a c) (*.f64 b_2 b_2)))
(.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 (.f64 a c) (*.f64 b_2 (neg.f64 b_2))))
(.f64 (/.f64 c (.f64 (neg.f64 b_2) #s(literal -1 binary64))) (/.f64 (*.f64 a c) b_2))
(.f64 (/.f64 (.f64 a c) #s(literal 1 binary64)) (/.f64 c (*.f64 b_2 b_2)))
(.f64 (/.f64 (.f64 a c) #s(literal 1 binary64)) (/.f64 (/.f64 c b_2) b_2))
(.f64 (/.f64 (.f64 a c) #s(literal -1 binary64)) (/.f64 c (*.f64 b_2 (neg.f64 b_2))))
(.f64 (/.f64 (.f64 a c) #s(literal -1 binary64)) (/.f64 (neg.f64 c) (*.f64 b_2 b_2)))
(.f64 (/.f64 (.f64 a c) #s(literal -1 binary64)) (/.f64 (/.f64 c b_2) (neg.f64 b_2)))
(.f64 (/.f64 (.f64 a c) (*.f64 (neg.f64 b_2) #s(literal -1 binary64))) (/.f64 c b_2))
(.f64 (/.f64 (.f64 c c) #s(literal 1 binary64)) (/.f64 a (*.f64 b_2 b_2)))
(.f64 (/.f64 (.f64 c c) #s(literal 1 binary64)) (/.f64 (/.f64 a b_2) b_2))
(.f64 (/.f64 (.f64 c c) #s(literal -1 binary64)) (/.f64 a (*.f64 b_2 (neg.f64 b_2))))
(.f64 (/.f64 (.f64 c c) #s(literal -1 binary64)) (/.f64 (neg.f64 a) (*.f64 b_2 b_2)))
(.f64 (/.f64 (.f64 c c) #s(literal -1 binary64)) (/.f64 (/.f64 a b_2) (neg.f64 b_2)))
(.f64 (/.f64 (.f64 c c) (*.f64 (neg.f64 b_2) #s(literal -1 binary64))) (/.f64 a b_2))
(.f64 (/.f64 (neg.f64 (.f64 c c)) b_2) (/.f64 a (neg.f64 b_2)))
(.f64 (/.f64 (neg.f64 a) b_2) (/.f64 (.f64 c c) (neg.f64 b_2)))
(.f64 (/.f64 (.f64 a (neg.f64 c)) b_2) (/.f64 c (neg.f64 b_2)))
(.f64 (/.f64 (.f64 a (neg.f64 c)) #s(literal -1 binary64)) (/.f64 c (*.f64 b_2 b_2)))
(.f64 (/.f64 (neg.f64 (.f64 c c)) #s(literal -1 binary64)) (/.f64 a (*.f64 b_2 b_2)))
(.f64 (/.f64 (.f64 c (.f64 a c)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 b_2 b_2)))
(.f64 (/.f64 (.f64 c (.f64 a c)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 b_2 b_2)))
(.f64 (/.f64 (.f64 c (*.f64 a c)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) b_2) (neg.f64 b_2)))
(.f64 (/.f64 (.f64 c (.f64 a c)) (.f64 (neg.f64 b_2) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) b_2))
(.f64 (/.f64 (/.f64 a b_2) #s(literal 1 binary64)) (/.f64 (.f64 c c) b_2))
(.f64 (/.f64 (/.f64 a b_2) #s(literal -1 binary64)) (/.f64 (.f64 c c) (neg.f64 b_2)))
(.f64 (pow.f64 (/.f64 (.f64 b_2 b_2) (.f64 c (.f64 a c))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (.f64 b_2 b_2) (.f64 c (*.f64 a c))) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 a (neg.f64 c)) c))
(neg.f64 (.f64 (.f64 a (neg.f64 c)) c))
(/.f64 (*.f64 c c) (/.f64 #s(literal 1 binary64) a))
(.f64 a (.f64 c c))
(.f64 c (.f64 a c))
(.f64 (.f64 a c) c)
(.f64 #s(literal -1 binary64) (.f64 (*.f64 a (neg.f64 c)) c))
(.f64 (.f64 c c) a)
(.f64 (.f64 c (*.f64 a c)) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 a))
(-.f64 #s(literal 0 binary64) a)
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) a))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))) (/.f64 (.f64 a (.f64 a a)) (fma.f64 a a #s(literal 0 binary64))))
(neg.f64 a)
(/.f64 a #s(literal -1 binary64))
(/.f64 (neg.f64 a) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a #s(literal 0 binary64)) (neg.f64 (.f64 a (.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 (*.f64 a a))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a))
(/.f64 (neg.f64 (.f64 a (.f64 a a))) (fma.f64 a a #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 a a)) a)
(/.f64 (neg.f64 (neg.f64 (.f64 a (.f64 a a)))) (neg.f64 (fma.f64 a a #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 a a))) (neg.f64 a))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 (neg.f64 a) (neg.f64 a)) (.f64 #s(literal 0 binary64) (neg.f64 a)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) (neg.f64 a))) a)
(*.f64 a #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) a)
(.f64 (neg.f64 (.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 0 binary64))))
(.f64 (neg.f64 (.f64 a a)) (/.f64 #s(literal 1 binary64) a))

eval162.0ms (1.5%)

Memory: 0.6MiB live, 327.6MiB allocated
Compiler: Compiled 36 261 to 2 691 computations (92.6% saved)

prune181.0ms (1.7%)

Memory

26.9MiB live, 337.0MiB allocated

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	1 374	13	1 387
Fresh	1	4	5
Picked	2	3	5
Done	0	3	3
Total	1 377	23	1 400

Accuracy

90.6%

Counts

1 400 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.9%	(fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))) (/.f64 #s(literal 1 binary64) a) (/.f64 b_2 a))
	24.1%	(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 a (neg.f64 c)))) a (.f64 a (neg.f64 b_2))) (*.f64 a a))
	20.5%	(/.f64 (/.f64 (fma.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 a (neg.f64 c))) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 a (neg.f64 c)))) (.f64 b_2 (.f64 b_2 b_2))) a) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 a (neg.f64 c))))) #s(approx (- ( b_2 b_2) (* a c)) (*.f64 a (neg.f64 c)))))
▶	32.6%	(/.f64 (/.f64 (-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 a (neg.f64 c))) (.f64 b_2 b_2)) a) (+.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c))))))
▶	1.5%	(/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64)))) (.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))))))) a)
	10.5%	(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 a b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c)) a))) a)
▶	2.6%	(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/.f64 #s(literal -1/2 binary64) b_2))) a)
✓	33.8%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))) b_2) a)
▶	28.6%	(/.f64 (-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 a (neg.f64 c))) (.f64 b_2 b_2)) (.f64 (+.f64 b_2 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 a (neg.f64 c))))) a))
	2.1%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (/.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a))) (/.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a))
	31.2%	(/.f64 (+.f64 (neg.f64 b_2) (/.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))))) a)
✓	48.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))) a)
	1.8%	(/.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))) #s(literal -1 binary64))) a)
	28.2%	(/.f64 (exp.f64 (.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))) #s(literal 1 binary64))) a)
	2.6%	(/.f64 #s(approx (/ -1 (/ 1 (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (*.f64 b_2 #s(literal 2 binary64))) a)
✓	31.6%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
	31.5%	(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))))
✓	31.4%	(.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))
	2.6%	(.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))
	15.4%	(.f64 (exp.f64 (.f64 (log.f64 a) #s(literal -1 binary64))) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))
▶	10.2%	#s(approx (/ (/ -1 (/ 1 (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
✓	27.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a (.f64 c c)) (.f64 b_2 b_2)) (.f64 c #s(literal -1/2 binary64))) b_2))
✓	35.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))

Compiler

Compiled 637 to 394 computations (38.1% saved)

simplify294.0ms (2.8%)

Memory

28.4MiB live, 329.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	192	(+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))) #s(literal 3 binary64)))
✓	cost-diff	768	(.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))))
✓	cost-diff	2944	(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64)))) (.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))))))
✓	cost-diff	5184	(pow.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))) #s(literal 3 binary64))
✓	cost-diff	0	(neg.f64 c)
✓	cost-diff	0	(*.f64 a (neg.f64 c))
✓	cost-diff	512	(-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 a (neg.f64 c))) (.f64 b_2 b_2))
✓	cost-diff	640	(/.f64 (-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 a (neg.f64 c))) (.f64 b_2 b_2)) (.f64 (+.f64 b_2 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 a (neg.f64 c))))) a))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) b_2)
✓	cost-diff	128	(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/.f64 #s(literal -1/2 binary64) b_2))) a)
✓	cost-diff	960	(/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/.f64 #s(literal -1/2 binary64) b_2)))
✓	cost-diff	0	(*.f64 c #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
✓	cost-diff	0	(*.f64 a (neg.f64 c))
✓	cost-diff	0	(/.f64 (/.f64 (-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 a (neg.f64 c))) (.f64 b_2 b_2)) a) (+.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c))))))
✓	cost-diff	512	(-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 a (neg.f64 c))) (.f64 b_2 b_2))
✓	cost-diff	1024	(/.f64 (-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 a (neg.f64 c))) (.f64 b_2 b_2)) a)

Rules

4 560×	`lower-fma.f64`
4 560×	`lower-fma.f32`
2 446×	`lower-*.f32`
2 434×	`lower-*.f64`
2 068×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	541
0	77	437
1	152	407
2	376	407
3	1529	324
4	7099	324
0	8059	324

Stop Event

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

Calls

Call 1

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

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

localize249.0ms (2.4%)

Memory

-43.2MiB live, 468.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(pow.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))) #s(literal 3 binary64))
✓	accuracy	99.7%	(.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))
✓	accuracy	94.7%	(/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64)))) (.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))))))) a)
✓	accuracy	42.1%	(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64)))) (.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))))))
✓	accuracy	80.8%	(+.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c)))))
✓	accuracy	66.5%	(/.f64 (-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 a (neg.f64 c))) (.f64 b_2 b_2)) (.f64 (+.f64 b_2 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 a (neg.f64 c))))) a))
✓	accuracy	59.9%	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c))))
✓	accuracy	48.0%	(-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 a (neg.f64 c))) (.f64 b_2 b_2))
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) b_2)
✓	accuracy	99.2%	(/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/.f64 #s(literal -1/2 binary64) b_2)))
✓	accuracy	94.7%	(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/.f64 #s(literal -1/2 binary64) b_2))) a)
✓	accuracy	100.0%	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
✓	accuracy	100.0%	(*.f64 c #s(literal 1/2 binary64))
✓	accuracy	80.8%	(+.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c)))))
✓	accuracy	76.9%	(/.f64 (-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 a (neg.f64 c))) (.f64 b_2 b_2)) a)
✓	accuracy	59.9%	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c))))
✓	accuracy	48.0%	(-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 a (neg.f64 c))) (.f64 b_2 b_2))

Samples

110.0ms	128×	1	valid
35.0ms	99×	0	valid
18.0ms	25×	2	valid
4.0ms	4×	3	valid

Compiler

Compiled 543 to 42 computations (92.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-neg: 45.0ms (35.2% of total)

ival-div: 27.0ms (21.1% of total)

ival-mult: 16.0ms (12.5% of total)

ival-pow: 12.0ms (9.4% of total)

adjust: 9.0ms (7% of total)

ival-add: 8.0ms (6.3% of total)

ival-sub: 6.0ms (4.7% of total)

ival-sqrt: 4.0ms (3.1% of total)

exact: 1.0ms (0.8% of total)

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

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

series107.0ms (1%)

Memory

7.5MiB live, 87.8MiB allocated

Counts

19 → 588

Calls

Call 1

Inputs
#<alt (/.f64 (-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 a (neg.f64 c))) (.f64 b_2 b_2)) a)>
#<alt (-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 a (neg.f64 c))) (.f64 b_2 b_2))>
#<alt (/.f64 (/.f64 (-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 a (neg.f64 c))) (.f64 b_2 b_2)) a) (+.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c))))))>
#<alt (*.f64 a (neg.f64 c))>
#<alt (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)>
#<alt (*.f64 c #s(literal 1/2 binary64))>
#<alt (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/.f64 #s(literal -1/2 binary64) b_2)))>
#<alt (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/.f64 #s(literal -1/2 binary64) b_2))) a)>
#<alt (/.f64 #s(literal -1/2 binary64) b_2)>
#<alt (/.f64 (-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 a (neg.f64 c))) (.f64 b_2 b_2)) (.f64 (+.f64 b_2 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 a (neg.f64 c))))) a))>
#<alt (neg.f64 c)>
#<alt (pow.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))) #s(literal 3 binary64))>
#<alt (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64)))) (.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))))))>
#<alt (.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))))>
#<alt (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))) #s(literal 3 binary64)))>
#<alt (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c))))>
#<alt (+.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c)))))>
#<alt (/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64)))) (.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))))))) a)>
#<alt (.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))>

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

Calls

147 calls:

Time	Variable		Point	Expression
27.0ms	b_2	@	inf	(pow (neg (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) 3)
9.0ms	c	@	inf	(* (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))
4.0ms	a	@	inf	(+ b_2 (sqrt (- (* b_2 b_2) (* a c))))
3.0ms	b_2	@	inf	(/ (+ 0 (pow (neg (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) 3)) (+ 0 (- (* (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* 0 (neg (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))))))
3.0ms	b_2	@	inf	(/ (/ (+ 0 (pow (neg (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) 3)) (+ 0 (- (* (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* 0 (neg (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))))))) a)

simplify663.0ms (6.3%)

Memory

-1.6MiB live, 581.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 462×	`lower-*.f64`
7 462×	`lower-*.f32`
6 976×	`lower-fma.f64`
6 976×	`lower-fma.f32`
3 884×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1610	15924
1	5530	15295
0	8089	14664

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 585

Calls

Call 1

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

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

rewrite733.0ms (7%)

Memory

-66.1MiB live, 1 023.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 406×	`lower-/.f32`
3 390×	`lower-/.f64`
3 162×	`lower-fma.f64`
3 162×	`lower-fma.f32`
3 124×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	322
0	75	201
1	308	188
2	2562	188
0	9191	184

Stop Event

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

Counts

19 → 1 398

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 a (-.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) (.f64 b_2 b_2)))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) a) (neg.f64 (/.f64 (.f64 b_2 b_2) a)))
(-.f64 (/.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) a) (/.f64 (.f64 b_2 b_2) a))
(-.f64 (/.f64 (.f64 b_2 b_2) a) (/.f64 (fma.f64 a c (.f64 b_2 b_2)) a))
(-.f64 (/.f64 (.f64 b_2 b_2) a) (/.f64 (-.f64 (.f64 a c) (*.f64 b_2 (neg.f64 b_2))) a))
(-.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 (-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) (.f64 b_2 b_2)) (neg.f64 a)))
(-.f64 (/.f64 (/.f64 (.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) (.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a))))) (fma.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 #s(approx (- (* b_2 b_2) (* a c)) (.f64 c (neg.f64 a)))) (.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a)))))) a) (/.f64 (/.f64 (.f64 (.f64 b_2 b_2) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))) (fma.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a)))) (.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) #s(approx (- ( b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))))) a))
(-.f64 (/.f64 (/.f64 (.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a)))) (fma.f64 b_2 b_2 #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a))))) a) (/.f64 (/.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (fma.f64 b_2 b_2 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a))))) a))
(-.f64 (/.f64 (.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) (.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a))))) (.f64 a (fma.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a)))) (.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a))))))) (/.f64 (.f64 (.f64 b_2 b_2) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))) (.f64 a (fma.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 #s(approx (- (* b_2 b_2) (* a c)) (.f64 c (neg.f64 a)))) (.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) #s(approx (- ( b_2 b_2) (* a c)) (*.f64 c (neg.f64 a))))))))
(-.f64 (/.f64 (.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a)))) (.f64 a (fma.f64 b_2 b_2 #s(approx (- (* b_2 b_2) (* a c)) (.f64 c (neg.f64 a)))))) (/.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (.f64 a (fma.f64 b_2 b_2 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))))))
(-.f64 (/.f64 (.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) a) (.f64 a a)) (/.f64 (.f64 a (.f64 b_2 b_2)) (*.f64 a a)))
(-.f64 (/.f64 (/.f64 (.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) (.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a))))) (.f64 a (.f64 a a))) (fma.f64 (/.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) a) (/.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) a) (fma.f64 (/.f64 (.f64 b_2 b_2) a) (/.f64 (.f64 b_2 b_2) a) (.f64 (/.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) a) (/.f64 (.f64 b_2 b_2) a))))) (/.f64 (/.f64 (.f64 (.f64 b_2 b_2) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))) (.f64 a (.f64 a a))) (fma.f64 (/.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) a) (/.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) a) (fma.f64 (/.f64 (.f64 b_2 b_2) a) (/.f64 (.f64 b_2 b_2) a) (.f64 (/.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) a) (/.f64 (.f64 b_2 b_2) a))))))
(-.f64 (/.f64 (.f64 (/.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) a) (/.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) a)) (+.f64 (/.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) a) (/.f64 (.f64 b_2 b_2) a))) (/.f64 (.f64 (/.f64 (.f64 b_2 b_2) a) (/.f64 (.f64 b_2 b_2) a)) (+.f64 (/.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) a) (/.f64 (.f64 b_2 b_2) a))))
(fma.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) (/.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 (.f64 b_2 b_2) a)))
(neg.f64 (/.f64 (-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) (.f64 b_2 b_2)) (neg.f64 a)))
(/.f64 (-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) (.f64 b_2 b_2)) a)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) (.f64 b_2 b_2)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a (-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) (.f64 b_2 b_2))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) (.f64 b_2 b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) (.f64 b_2 b_2))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a (-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) (.f64 b_2 b_2))))))
(/.f64 (neg.f64 (-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) (.f64 b_2 b_2))) (neg.f64 a))
(/.f64 (fma.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) (.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a)))) (.f64 (.f64 b_2 b_2) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))) (.f64 a (fma.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 #s(approx (- (* b_2 b_2) (* a c)) (.f64 c (neg.f64 a)))) (.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) #s(approx (- ( b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))))))
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(.f64 (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))))) (/.f64 #s(literal -1 binary64) (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))))
(.f64 (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))))) (neg.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))))))
(.f64 (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))))) (pow.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))))) #s(literal 1 binary64)))
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(.f64 (fma.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a)))) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (+.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))))))))
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(.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64)))))) (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))))))
(.f64 (pow.f64 (pow.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
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(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (.f64 c (neg.f64 a))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 b_2 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))))))
(.f64 (pow.f64 (fma.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a)))) (.f64 b_2 (.f64 b_2 b_2))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (+.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a))) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (.f64 c (neg.f64 a)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 b_2 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(literal -7 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (.f64 (.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))))) (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))))))
(.f64 (pow.f64 (/.f64 (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64)))) (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (.f64 (.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))))) (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))))))
(.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))
#s(literal 0 binary64)
(exp.f64 (.f64 #s(literal 3 binary64) (log.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))))
(exp.f64 (.f64 (log.f64 (pow.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64)))) #s(literal 3/2 binary64) (.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))) #s(literal 3/2 binary64))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))))) #s(literal 3 binary64)) (.f64 #s(literal 3 binary64) (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))))))
(exp.f64 (-.f64 (fma.f64 #s(literal 3 binary64) (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64)))) (.f64 #s(literal 3 binary64) (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64)))))) (.f64 #s(literal 3 binary64) (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))))) #s(literal 3 binary64)) (.f64 (.f64 #s(literal 2 binary64) (log.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))) #s(literal 3 binary64))))
(exp.f64 (-.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))))) #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (log.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64)))) (.f64 #s(literal 3 binary64) (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))))))
(+.f64 (.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))))
(+.f64 (.f64 (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64)))) b_2) (.f64 (.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64)))) (neg.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))))))
(+.f64 (.f64 b_2 (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))))) (.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 c (neg.f64 a))))) (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))))
(-.f64 (.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))) #s(literal 0 binary64))
(-.f64 (.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))))) (/.f64 #s(literal 0 binary64) (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))))))
(-.f64 (.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))))) (/.f64 #s(literal 0 binary64) #s(approx (/ 1 (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c))))) (/.f64 #s(literal -1/2 binary64) b_2))))
(-.f64 (.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))))) (/.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))))))) #s(approx (/ 1 (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c))))) (/.f64 #s(literal -1/2 binary64) b_2))))
(-.f64 (.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))))) (/.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))))) #s(approx (/ 1 (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c))))) (/.f64 #s(literal -1/2 binary64) b_2))))
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eval440.0ms (4.2%)

Memory: -1.7MiB live, 461.1MiB allocated
Compiler: Compiled 84 432 to 5 877 computations (93% saved)

prune324.0ms (3.1%)

Memory

7.7MiB live, 598.2MiB allocated

Pruning

20 alts after pruning (12 fresh and 8 done)

	Pruned	Kept	Total
New	2 084	6	2 090
Fresh	6	6	12
Picked	3	2	5
Done	0	6	6
Total	2 093	20	2 113

Accuracy

90.6%

Counts

2 113 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	9.9%	(/.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64)))) (.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))))))) a)
	10.8%	(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))))))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64)))) (.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))))))) a)
	1.5%	(/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64)))) #s(approx ( 0 (neg (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) #s(literal 0 binary64))))) a)
	10.5%	(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 a b_2) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c)) a))) a)
✓	2.6%	(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/.f64 #s(literal -1/2 binary64) b_2))) a)
✓	33.8%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))) b_2) a)
	2.1%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (/.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a))) (/.f64 #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a))
✓	48.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))) a)
	1.8%	(/.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))) #s(literal -1 binary64))) a)
	28.2%	(/.f64 (exp.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))) a)
	34.9%	(/.f64 #s(approx (/ (- (- (* b_2 b_2) (* a c)) (* b_2 b_2)) a) (neg.f64 c)) (+.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 a (neg.f64 c))))))
	2.6%	(/.f64 #s(approx (/ (+ 0 (pow (neg (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) 3)) (+ 0 (- (* (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* 0 (neg (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))))))) (*.f64 b_2 #s(literal 2 binary64))) a)
✓	31.6%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
	31.5%	(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))))
✓	31.4%	(.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))
	2.6%	(.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))
	15.4%	(.f64 (exp.f64 (.f64 (log.f64 a) #s(literal -1 binary64))) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))))
✓	10.2%	#s(approx (/ (/ -1 (/ 1 (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) a) (/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2))
✓	27.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a (.f64 c c)) (.f64 b_2 b_2)) (.f64 c #s(literal -1/2 binary64))) b_2))
✓	35.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))

Compiler

Compiled 762 to 330 computations (56.7% saved)

regimes76.0ms (0.7%)

Memory

0.3MiB live, 95.3MiB allocated

Counts

36 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

42.0ms	c
12.0ms	a
10.0ms	b_2
9.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
48.0%	1	`a`
83.9%	3	`b_2`
48.0%	1	`c`
74.6%	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)

regimes8.0ms (0.1%)

Memory

-18.8MiB live, 19.9MiB allocated

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

5.0ms

b_2

Results

Accuracy	Segments	Branch
83.9%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Memory

20.0MiB live, 20.0MiB allocated

Counts

16 → 3

Calls

Call 1

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

Outputs

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

(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 c (neg.f64 a)))) b_2) a)

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

Calls

1 calls:

5.0ms

b_2

Results

Accuracy	Segments	Branch
79.9%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory

-21.3MiB live, 17.9MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

3.0ms	b_2
3.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
49.7%	4	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
64.4%	2	`b_2`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes6.0ms (0.1%)

Memory

18.9MiB live, 18.9MiB allocated

Accuracy

Total -17.0b remaining (-41%)

Threshold costs -17b (-41%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

2.0ms	b_2
1.0ms	a
1.0ms	c
1.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
35.4%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
35.4%	1	`a`
35.4%	1	`c`
35.4%	1	`b_2`

Compiler

Compiled 28 to 19 computations (32.1% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.5432389646453017e-84	1.4818931414472343e-76
0.0ms	-1.87921820101358e+115	-1.691755750536029e+114

Compiler

Compiled 19 to 16 computations (15.8% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.5432389646453017e-84	1.4818931414472343e-76
0.0ms	-1.87921820101358e+115	-1.691755750536029e+114

Compiler

Compiled 19 to 16 computations (15.8% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.5432389646453017e-84	1.4818931414472343e-76
0.0ms	-7.588198409192255e-18	-3.9247142470234375e-18

Compiler

Compiled 19 to 16 computations (15.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.178612891230689e-276	1.328639941577826e-257

Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify11.0ms (0.1%)

Memory

-18.7MiB live, 22.3MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative_binary64`
16×	`+-commutative_binary64`
12×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	234
1	71	232
2	86	232
3	91	232
4	92	232

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -10000000000000000155594161294668430242682013969210614333697705804308337811647557032649853899150474476762062808678400 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (if (<=.f64 b_2 #s(literal 2734063405978765/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 c) a (.f64 b_2 b_2)))) a) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -10000000000000000155594161294668430242682013969210614333697705804308337811647557032649853899150474476762062808678400 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (if (<=.f64 b_2 #s(literal 2734063405978765/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -6490371073168535/1298074214633706907132624082305024 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (if (<=.f64 b_2 #s(literal 2734063405978765/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a)))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal 6237000967295999/623700096729599941142616472824012051896078518886080481719546013261628716209051270557799364216448656590419514638810154763741386871372998018980991186964009818850001772797214273911730537951363433494579173982669976247915878267225271996527767271390013799220975283398673763013237029759482503102464 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))

Outputs
(if (<=.f64 b_2 #s(literal -10000000000000000155594161294668430242682013969210614333697705804308337811647557032649853899150474476762062808678400 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (if (<=.f64 b_2 #s(literal 2734063405978765/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (neg.f64 c) a (.f64 b_2 b_2)))) a) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -10000000000000000155594161294668430242682013969210614333697705804308337811647557032649853899150474476762062808678400 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (if (<=.f64 b_2 #s(literal 2734063405978765/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 c) a (.f64 b_2 b_2))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -10000000000000000155594161294668430242682013969210614333697705804308337811647557032649853899150474476762062808678400 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (if (<=.f64 b_2 #s(literal 2734063405978765/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -10000000000000000155594161294668430242682013969210614333697705804308337811647557032649853899150474476762062808678400 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (if (<=.f64 b_2 #s(literal 2734063405978765/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -6490371073168535/1298074214633706907132624082305024 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (if (<=.f64 b_2 #s(literal 2734063405978765/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 c (neg.f64 a)))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal -6490371073168535/1298074214633706907132624082305024 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (if (<=.f64 b_2 #s(literal 2734063405978765/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (neg.f64 (.f64 a c)))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))))
(if (<=.f64 b_2 #s(literal 6237000967295999/623700096729599941142616472824012051896078518886080481719546013261628716209051270557799364216448656590419514638810154763741386871372998018980991186964009818850001772797214273911730537951363433494579173982669976247915878267225271996527767271390013799220975283398673763013237029759482503102464 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))

soundness490.0ms (4.7%)

Memory

26.3MiB live, 417.2MiB allocated

Rules

11 022×	`lower-fma.f64`
11 022×	`lower-fma.f32`
7 132×	`lower-*.f64`
7 132×	`lower-*.f32`
5 248×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	122
0	51	122
1	151	116
2	782	115
0	9875	106
0	10	41
0	17	41
1	64	39
2	463	38
3	5888	38
0	8611	34
0	508	3200
1	1606	3160
2	5520	3144
0	8782	3008

Stop Event

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

Compiler

Compiled 213 to 113 computations (46.9% saved)

preprocess75.0ms (0.7%)

Memory: -5.4MiB live, 162.2MiB allocated
Compiler: Compiled 434 to 150 computations (65.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	50
0	17	50
1	28	48
2	45	48
3	74	48
4	113	48
5	189	48
6	319	48
7	464	48
8	807	48
9	920	48
10	952	48
11	963	48
12	964	48
0	964	48

Iter	Nodes	Cost
0	10	50
0	17	50
1	28	48
2	45	48
3	74	48
4	113	48
5	189	48
6	319	48
7	464	48
8	807	48
9	920	48
10	952	48
11	963	48
12	964	48
0	964	48

analyze159.0ms (1.5%)

sample1.6s (15.5%)

preprocess151.0ms (1.4%)

explain160.0ms (1.5%)

eval0.0ms (0%)

prune4.0ms (0%)

simplify38.0ms (0.4%)

localize45.0ms (0.4%)

series19.0ms (0.2%)

simplify427.0ms (4.1%)

rewrite303.0ms (2.9%)

eval79.0ms (0.8%)

prune98.0ms (0.9%)

simplify116.0ms (1.1%)

localize113.0ms (1.1%)

series54.0ms (0.5%)

simplify439.0ms (4.2%)

rewrite283.0ms (2.7%)

eval137.0ms (1.3%)

prune162.0ms (1.5%)

simplify1.0s (9.7%)

localize254.0ms (2.4%)

series53.0ms (0.5%)

simplify442.0ms (4.2%)

rewrite467.0ms (4.5%)

eval162.0ms (1.5%)

prune181.0ms (1.7%)

simplify294.0ms (2.8%)

localize249.0ms (2.4%)

series107.0ms (1%)

simplify663.0ms (6.3%)

rewrite733.0ms (7%)

eval440.0ms (4.2%)

prune324.0ms (3.1%)

regimes76.0ms (0.7%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify11.0ms (0.1%)

soundness490.0ms (4.7%)

preprocess75.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	50
0	17	50
1	28	48
2	45	48
3	74	48
4	113	48
5	189	48
6	319	48
7	464	48
8	807	48
9	920	48
10	952	48
11	963	48
12	964	48
0	964	48