Metrics for quad2m (problem 3.2.1, negative)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze135.0ms (1.7%)

Memory

22.9MiB live, 217.6MiB 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)

sample1.9s (24.1%)

Memory

26.7MiB live, 1 999.6MiB allocated

Samples

726.0ms	5 553×	0	valid
373.0ms	1 215×	2	valid
188.0ms	1 341×	1	valid
117.0ms	1 043×	0	invalid
61.0ms	147×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 848.0ms

ival-sub: 191.0ms (22.5% of total)

ival-sqrt: 189.0ms (22.3% of total)

ival-mult: 164.0ms (19.3% of total)

ival-div: 139.0ms (16.4% of total)

adjust: 103.0ms (12.1% of total)

ival-neg: 50.0ms (5.9% of total)

ival-true: 9.0ms (1.1% of total)

ival-assert: 4.0ms (0.5% of total)

Bogosity

explain248.0ms (3.2%)

Memory

5.1MiB live, 255.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
89	-	3	(1.9502899669760243e-297 1.2349369441720353e-201 -1.0459418971770771e-14)	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
51	-	0	-	`(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
14	-	4	(-1.286097770289912e-17 -8.000313889056117e+38 1.480132836345591e-257)	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
5	-	0	-	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`
0	-	0	-	`(*.f64 b_2 b_2)`
0	-	0	-	`a`
0	-	0	-	`(neg.f64 b_2)`
0	-	0	-	`b_2`
0	-	0	-	`(*.f64 a c)`
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	79	0
↳	`(*.f64 b_2 b_2)`	overflow	67
↳	`(*.f64 a c)`	overflow	20
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	overflow	79
`-.f64`	`(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	cancellation	51	0
`/.f64`	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`	u/n	10	0
↳	`(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	underflow	28
↳	`(*.f64 b_2 b_2)`	underflow	50
↳	`(*.f64 a c)`	underflow	33
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	7
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	uflow-rescue	7	0
↳	`(*.f64 b_2 b_2)`	underflow	50
↳	`(*.f64 a c)`	underflow	33
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	7
`-.f64`	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	nan-rescue	5	0
↳	`(*.f64 b_2 b_2)`	overflow	67
↳	`(*.f64 a c)`	overflow	20

Confusion

	Predicted +	Predicted -
+	106	3
-	18	129

Precision

0.8548387096774194

Recall

0.9724770642201835

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	106	0	3
-	18	0	129

Precision?

0.8548387096774194

Recall?

0.9724770642201835

Freqs

test

number	freq
0	132
1	98
2	24
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

97.0ms	354×	0	valid
19.0ms	88×	2	valid
10.0ms	66×	1	valid
1.0ms	4×	3	valid

Compiler

Compiled 117 to 34 computations (70.9% saved)

Precisions

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

ival-mult: 66.0ms (64.9% of total)

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

ival-sub: 8.0ms (7.9% of total)

ival-sqrt: 6.0ms (5.9% of total)

adjust: 5.0ms (4.9% of total)

ival-neg: 3.0ms (2.9% of total)

ival-true: 1.0ms (1% of total)

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

preprocess130.0ms (1.7%)

Memory

-18.2MiB live, 89.3MiB allocated

Algorithm

1×	egg-herbie

Rules

820×	`div-sub`
774×	`times-frac`
416×	`lower-fma.f64`
416×	`lower-fma.f32`
372×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	118
1	142	118
2	354	113
3	1075	113
4	2452	113
5	3228	113
6	3298	113
7	3420	113
8	3512	113
9	3512	113
10	3512	113
0	10	13
0	17	13
1	32	13
2	59	13
3	121	13
4	200	13
5	353	13
6	594	13
7	708	13
8	769	13
9	785	13
10	786	13
0	786	13

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.8%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify26.0ms (0.3%)

Memory

22.0MiB live, 22.0MiB 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 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
cost-diff	0	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Rules

416×	`lower-fma.f64`
416×	`lower-fma.f32`
264×	`lower-*.f32`
260×	`lower-*.f64`
120×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	50
0	17	50
1	32	50
2	59	50
3	121	50
4	200	50
5	353	50
6	594	50
7	708	50
8	769	50
9	785	50
10	786	50
0	786	50

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

localize63.0ms (0.8%)

Memory

8.0MiB live, 84.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	1.0039062500000002	(-.f64 (.f64 b_2 b_2) (.f64 a c))
accuracy	2.592671911210892	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
accuracy	11.54191562534175	(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
accuracy	20.36671800158089	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Samples

37.0ms	177×	0	valid
9.0ms	44×	2	valid
5.0ms	33×	1	valid
1.0ms	2×	3	valid

Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 20.0ms (59.8% of total)

ival-sub: 4.0ms (12% of total)

ival-sqrt: 3.0ms (9% of total)

ival-div: 3.0ms (9% of total)

adjust: 2.0ms (6% of total)

ival-neg: 1.0ms (3% of total)

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

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

series29.0ms (0.4%)

Memory

-13.9MiB live, 54.7MiB allocated

Counts

5 → 156

Calls

Call 1

Inputs
#s(alt (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())
#s(alt (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())
#s(alt (neg.f64 b_2) (patch (neg.f64 b_2) #<representation binary64>) () ())
#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())

Outputs
#s(alt (* -2 (/ b_2 a)) (taylor 0 a) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) (taylor 0 a) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a) (taylor 0 a) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a) (taylor 0 a) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (* -2 b_2) (taylor 0 a) (#s(alt (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ (* a c) b_2)) (* 2 b_2)) (taylor 0 a) (#s(alt (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2)) (taylor 0 a) (#s(alt (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2)) (taylor 0 a) (#s(alt (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt b_2 (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (+ b_2 (* -1/2 (/ (* a c) b_2))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (pow b_2 2) (taylor 0 a) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a c)) (pow b_2 2)) (taylor 0 a) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a c)) (pow b_2 2)) (taylor 0 a) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a c)) (pow b_2 2)) (taylor 0 a) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor inf a) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) (taylor inf a) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))))) (taylor inf a) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))) (taylor inf a) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a c)) (sqrt -1))) (taylor inf a) (#s(alt (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) (taylor inf a) (#s(alt (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) (taylor inf a) (#s(alt (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf a) (#s(alt (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -1)) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* a c)) (taylor inf a) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ (pow b_2 2) a) c)) (taylor inf a) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ (pow b_2 2) a) c)) (taylor inf a) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ (pow b_2 2) a) c)) (taylor inf a) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor -inf a) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt (* a c)) (sqrt -1)) (taylor -inf a) (#s(alt (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())) ())
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#s(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))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a c)) (taylor -inf a) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c)))) (taylor -inf a) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c)))) (taylor -inf a) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ b_2 a)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (* -2 b_2) (taylor 0 c) (#s(alt (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ (* a c) b_2)) (* 2 b_2)) (taylor 0 c) (#s(alt (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2)) (taylor 0 c) (#s(alt (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2)) (taylor 0 c) (#s(alt (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt b_2 (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (+ b_2 (* -1/2 (/ (* a c) b_2))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (pow b_2 2) (taylor 0 c) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a c)) (pow b_2 2)) (taylor 0 c) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a c)) (pow b_2 2)) (taylor 0 c) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a c)) (pow b_2 2)) (taylor 0 c) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1))))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a c)) (sqrt -1))) (taylor inf c) (#s(alt (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())) ())
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#s(alt (* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) (taylor inf c) (#s(alt (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf c) (#s(alt (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (patch (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -1)) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a c)) (taylor inf c) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ (pow b_2 2) c) a)) (taylor inf c) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ (pow b_2 2) c) a)) (taylor inf c) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ (pow b_2 2) c) a)) (taylor inf c) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor -inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c))))) (taylor -inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c))))) (taylor -inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c))))) (taylor -inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))) (taylor -inf b_2) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(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))))))) (taylor -inf b_2) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(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)))))))) (taylor -inf b_2) (#s(alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (patch (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) #<representation binary64>) () ())) ())
#s(alt (pow b_2 2) (taylor -inf b_2) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) (taylor -inf b_2) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) (taylor -inf b_2) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())
#s(alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) (taylor -inf b_2) (#s(alt (-.f64 (.f64 b_2 b_2) (.f64 a c)) (patch (-.f64 (.f64 b_2 b_2) (.f64 a c)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	a	@	inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
3.0ms	c	@	-inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
2.0ms	c	@	inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
2.0ms	b_2	@	-inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
2.0ms	a	@	-inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))

simplify171.0ms (2.2%)

Memory

8.7MiB live, 320.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 494×	`lower-fma.f64`
8 494×	`lower-fma.f32`
6 878×	`lower-*.f64`
6 878×	`lower-*.f32`
2 476×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	528	3105
1	1657	3067
2	5512	3045
0	8289	2913

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 153

Calls

Call 1

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

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

rewrite279.0ms (3.6%)

Memory

-14.7MiB live, 238.4MiB allocated

Rules

4 618×	`lower-fma.f64`
4 618×	`lower-fma.f32`
3 760×	`lower-*.f32`
3 756×	`lower-*.f64`
2 318×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	41
0	17	41
1	68	41
2	503	38
3	6607	38
0	8430	38

Stop Event

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

Counts

5 → 440

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)
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
(-.f64 (.f64 b_2 b_2) (.f64 a c))

Outputs
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eval225.0ms (2.9%)

Memory: 32.0MiB live, 191.8MiB allocated
Compiler: Compiled 17 104 to 2 072 computations (87.9% saved)

prune23.0ms (0.3%)

Memory

-3.6MiB live, 72.3MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	580	13	593
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	580	14	594

Accuracy

93.9%

Counts

594 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.9%	(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a))
	27.8%	(/.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2))
▶	15.3%	(/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) (.f64 a a))
▶	27.7%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) a)
✓	59.8%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
▶	35.3%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
	26.2%	(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))) a)
	12.6%	(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (fma.f64 (.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) (/.f64 c b_2) #s(literal -1 binary64)) b_2))) a)
	35.6%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (fma.f64 (.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) c (.f64 b_2 #s(literal -2 binary64)))) a)
	27.4%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
	35.7%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
	27.9%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
▶	35.7%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
▶	33.1%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))

Compiler

Compiled 387 to 282 computations (27.1% saved)

simplify118.0ms (1.5%)

Memory

-8.7MiB live, 151.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))
cost-diff	0	(/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))
cost-diff	0	(neg.f64 b_2)
cost-diff	256	(-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))))
cost-diff	0	(.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)
cost-diff	0	(*.f64 a b_2)
cost-diff	320	(-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a))
cost-diff	640	(/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) (.f64 a a))
cost-diff	0	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
cost-diff	0	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
cost-diff	0	(/.f64 c b_2)
cost-diff	0	(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
cost-diff	0	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
cost-diff	0	(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) b_2)
cost-diff	0	(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
cost-diff	0	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))

Rules

7 304×	`lower-fma.f32`
7 300×	`lower-fma.f64`
3 302×	`lower-*.f32`
3 288×	`lower-*.f64`
1 734×	`lower--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	310
0	66	310
1	121	304
2	235	300
3	558	298
4	1511	298
5	5086	298
6	7453	298
0	8294	298

Stop Event

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

Calls

Call 1

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

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

localize182.0ms (2.3%)

Memory

-41.9MiB live, 179.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))))
accuracy	0.08984375	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) a)
accuracy	3.9012150118658044	(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
accuracy	4.022294595180112	(/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))
accuracy	0.0546875	(.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)
accuracy	0.44921668583020585	(-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a))
accuracy	3.9012150118658044	(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
accuracy	11.087985798398007	(/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) (.f64 a a))
accuracy	0	(neg.f64 a)
accuracy	0.08984375	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
accuracy	0.34523310255422407	#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))
accuracy	3.9012150118658044	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
accuracy	0	(/.f64 c b_2)
accuracy	0	(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
accuracy	21.511294793711944	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
accuracy	0	(/.f64 #s(literal 1/2 binary64) b_2)
accuracy	0	(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
accuracy	0.078125	(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
accuracy	21.54596107261579	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))

Samples

81.0ms	167×	0	invalid
36.0ms	89×	0	valid

Compiler

Compiled 291 to 36 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-mult: 40.0ms (42% of total)

ival-div: 27.0ms (28.3% of total)

ival-neg: 18.0ms (18.9% of total)

ival-sub: 4.0ms (4.2% of total)

ival-sqrt: 3.0ms (3.1% of total)

ival-add: 2.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series100.0ms (1.3%)

Memory

17.9MiB live, 92.2MiB allocated

Counts

22 → 672

Calls

Call 1

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

Outputs
#s(alt (* -2 (/ b_2 a)) (taylor 0 a) (#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) (patch #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) (taylor 0 a) (#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) (patch #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a) (taylor 0 a) (#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) (patch #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a) (taylor 0 a) (#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) (patch #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ b_2 a)) (taylor 0 a) (#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64))) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) (taylor 0 a) (#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64))) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) (taylor 0 a) (#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64))) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) (taylor 0 a) (#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64))) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ b_2 a)) (taylor 0 a) (#s(alt (.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (patch (.f64 (/.f64 b_2 a) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* a b_2) (taylor 0 a) (#s(alt (.f64 a b_2) (patch (.f64 a b_2) #<representation binary64>) () ())) ())
#s(alt (* a b_2) (taylor 0 a) (#s(alt (.f64 a b_2) (patch (.f64 a b_2) #<representation binary64>) () ())) ())
#s(alt (* a b_2) (taylor 0 a) (#s(alt (.f64 a b_2) (patch (.f64 a b_2) #<representation binary64>) () ())) ())
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#s(alt (* a (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1)))) (taylor 0 a) (#s(alt (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a) (patch (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1)))) (taylor 0 a) (#s(alt (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a) (patch (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ b_2 (* -1 (/ b_2 (sqrt -1))))) (taylor 0 a) (#s(alt (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (patch (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ (* a c) (* b_2 (sqrt -1)))) (+ b_2 (* -1 (/ b_2 (sqrt -1))))) (taylor 0 a) (#s(alt (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (patch (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (- (* a (- (* -1/8 (/ (* a (pow c 2)) (* (pow b_2 3) (sqrt -1)))) (* -1/2 (/ c (* b_2 (sqrt -1)))))) (+ b_2 (* -1 (/ b_2 (sqrt -1))))) (taylor 0 a) (#s(alt (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (patch (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (* (pow b_2 5) (sqrt -1)))) (* 1/8 (/ (pow c 2) (* (pow b_2 3) (sqrt -1)))))) (* -1/2 (/ c (* b_2 (sqrt -1)))))) (+ b_2 (* -1 (/ b_2 (sqrt -1))))) (taylor 0 a) (#s(alt (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (patch (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b_2 (sqrt -1))) (taylor 0 a) (#s(alt (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) (patch (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b_2 (sqrt -1))) (* -1/2 (/ (* a c) (* b_2 (sqrt -1))))) (taylor 0 a) (#s(alt (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) (patch (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b_2 (sqrt -1))) (* a (+ (* -1/2 (/ c (* b_2 (sqrt -1)))) (* 1/8 (/ (* a (pow c 2)) (* (pow b_2 3) (sqrt -1))))))) (taylor 0 a) (#s(alt (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) (patch (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b_2 (sqrt -1))) (* a (+ (* -1/2 (/ c (* b_2 (sqrt -1)))) (* a (+ (* -1/16 (/ (* a (pow c 3)) (* (pow b_2 5) (sqrt -1)))) (* 1/8 (/ (pow c 2) (* (pow b_2 3) (sqrt -1))))))))) (taylor 0 a) (#s(alt (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) (patch (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow b_2 2)) (taylor 0 a) (#s(alt (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (patch (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (* a c)) (pow b_2 2)) (taylor 0 a) (#s(alt (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (patch (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (* a c)) (pow b_2 2)) (taylor 0 a) (#s(alt (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (patch (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (* a c)) (pow b_2 2)) (taylor 0 a) (#s(alt (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (patch (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (pow b_2 2) (taylor 0 a) (#s(alt #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (patch #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a c)) (pow b_2 2)) (taylor 0 a) (#s(alt #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (patch #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a c)) (pow b_2 2)) (taylor 0 a) (#s(alt #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (patch #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a c)) (pow b_2 2)) (taylor 0 a) (#s(alt #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (patch #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor 0 a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor 0 a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor 0 a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor 0 a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* b_2 (sqrt -1)) (taylor 0 a) (#s(alt (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) (patch (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (* a c)) (pow b_2 2)) (taylor 0 c) (#s(alt #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (patch #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* a c)) (pow b_2 2)) (taylor 0 c) (#s(alt #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (patch #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #<representation binary64>) () ())) ())
#s(alt (* b_2 (sqrt -1)) (taylor 0 c) (#s(alt (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) (patch (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) #<representation binary64>) () ())) ())
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#s(alt (+ (* b_2 (sqrt -1)) (* c (+ (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2))))) (taylor 0 c) (#s(alt (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) (patch (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ (+ b_2 (* -1 (/ b_2 (sqrt -1)))) a)) (* 1/2 (/ c (* b_2 (sqrt -1))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ b_2 (* -1 (/ b_2 (sqrt -1)))) a)) (* c (+ (* -1/8 (/ (* a c) (* (pow b_2 3) (sqrt -1)))) (* 1/2 (/ 1 (* b_2 (sqrt -1))))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ b_2 (* -1 (/ b_2 (sqrt -1)))) a)) (* c (+ (* c (+ (* -1/8 (/ a (* (pow b_2 3) (sqrt -1)))) (* 1/16 (/ (* (pow a 2) c) (* (pow b_2 5) (sqrt -1)))))) (* 1/2 (/ 1 (* b_2 (sqrt -1))))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor inf c) (#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) (patch #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c))))) (taylor inf c) (#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) (patch #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1))))))) (taylor inf c) (#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) (patch #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))) (taylor inf c) (#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) (patch #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ c b_2)) (taylor inf c) (#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64))) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))) (taylor inf c) (#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64))) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))) (taylor inf c) (#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64))) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))) (taylor inf c) (#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64))) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor inf c) (#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (patch #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c))))) (taylor inf c) (#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (patch #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1))))))) (taylor inf c) (#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (patch #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))) (taylor inf c) (#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (patch #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b_2)) (taylor inf c) (#s(alt (.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) (patch (.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b_2)) (taylor inf c) (#s(alt (.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) (patch (.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b_2)) (taylor inf c) (#s(alt (.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) (patch (.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b_2)) (taylor inf c) (#s(alt (.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) (patch (.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) #<representation binary64>) () ())) ())
#s(alt (/ c b_2) (taylor inf c) (#s(alt (/.f64 c b_2) (patch (/.f64 c b_2) #<representation binary64>) () ())) ())
#s(alt (/ c b_2) (taylor inf c) (#s(alt (/.f64 c b_2) (patch (/.f64 c b_2) #<representation binary64>) () ())) ())
#s(alt (/ c b_2) (taylor inf c) (#s(alt (/.f64 c b_2) (patch (/.f64 c b_2) #<representation binary64>) () ())) ())
#s(alt (/ c b_2) (taylor inf c) (#s(alt (/.f64 c b_2) (patch (/.f64 c b_2) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1))))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a c)) (sqrt -1))) (taylor inf c) (#s(alt (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (patch (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) (taylor inf c) (#s(alt (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (patch (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) (taylor inf c) (#s(alt (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (patch (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf c) (#s(alt (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (patch (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -1)) (taylor inf c) (#s(alt (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (patch (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (taylor inf c) (#s(alt (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (patch (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf c) (#s(alt (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (patch (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) #<representation binary64>) () ())) ())
#s(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)))))) (taylor inf c) (#s(alt (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (patch (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor inf c) (#s(alt (/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))) (taylor inf c) (#s(alt (/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(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) (sqrt -1)))) (/ b_2 (* a c)))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) (taylor inf c) (#s(alt (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) (patch (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) #<representation binary64>) () ())) ())
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#s(alt (* c (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (/ (* a b_2) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))) (taylor inf c) (#s(alt (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) (patch (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (/ (* a b_2) c)) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))) (taylor inf c) (#s(alt (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) (patch (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* (pow a 3) c)) (sqrt -1)) (taylor inf c) (#s(alt (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a) (patch (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))) (taylor inf c) (#s(alt (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a) (patch (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))) (taylor inf c) (#s(alt (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a) (patch (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) (taylor inf c) (#s(alt (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a) (patch (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (/ 1 (sqrt -1))) (taylor inf c) (#s(alt (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (patch (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ b_2 c)) (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))))) (taylor inf c) (#s(alt (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (patch (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (/ b_2 c)))) (taylor inf c) (#s(alt (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (patch (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (/ b_2 c))))) (taylor inf c) (#s(alt (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (patch (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (taylor inf c) (#s(alt (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) (patch (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))) (taylor inf c) (#s(alt (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) (patch (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (* (sqrt (/ a c)) (/ 1 (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) (sqrt -1))))))) (taylor inf c) (#s(alt (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) (patch (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))))))) (taylor inf c) (#s(alt (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) (patch (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a c)) (taylor inf c) (#s(alt (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (patch (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (pow b_2 2) c)) a)) (taylor inf c) (#s(alt (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (patch (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (pow b_2 2) c)) a)) (taylor inf c) (#s(alt (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (patch (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (pow b_2 2) c)) a)) (taylor inf c) (#s(alt (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (patch (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a c)) (taylor inf c) (#s(alt #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (patch #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ (pow b_2 2) c) a)) (taylor inf c) (#s(alt #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (patch #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ (pow b_2 2) c) a)) (taylor inf c) (#s(alt #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (patch #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ (pow b_2 2) c) a)) (taylor inf c) (#s(alt #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (patch #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -1)) (taylor inf c) (#s(alt (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) (patch (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (taylor inf c) (#s(alt (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) (patch (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) #<representation binary64>) () ())) ())
#s(alt (* 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))))) (taylor inf c) (#s(alt (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) (patch (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) #<representation binary64>) () ())) ())
#s(alt (* 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)))))) (taylor inf c) (#s(alt (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) (patch (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (/ 1 (sqrt -1))) (taylor inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) a) #<representation binary64>) () ())) ())
#s(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))) (/ 1 (sqrt -1)))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) a) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor -inf c) (#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) (patch #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c))))) (taylor -inf c) (#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) (patch #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c))))) (taylor -inf c) (#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) (patch #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c))))) (taylor -inf c) (#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) (patch #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ c b_2)) (taylor -inf c) (#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64))) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))) (taylor -inf c) (#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64))) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))) (taylor -inf c) (#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64))) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))) (taylor -inf c) (#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64))) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (.f64 (/.f64 b_2 a) #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor -inf c) (#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (patch #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) #<representation binary64>) () ())) ())
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#s(alt (/ 1/2 b_2) (taylor inf b_2) (#s(alt (/.f64 #s(literal 1/2 binary64) b_2) (patch (/.f64 #s(literal 1/2 binary64) b_2) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 b_2) (taylor inf b_2) (#s(alt (/.f64 #s(literal 1/2 binary64) b_2) (patch (/.f64 #s(literal 1/2 binary64) b_2) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 b_2) (taylor inf b_2) (#s(alt (/.f64 #s(literal 1/2 binary64) b_2) (patch (/.f64 #s(literal 1/2 binary64) b_2) #<representation binary64>) () ())) ())
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#s(alt (* -2 (/ b_2 a)) (taylor inf b_2) (#s(alt (.f64 (/.f64 b_2 a) #s(literal -2 binary64)) (patch (.f64 (/.f64 b_2 a) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* a b_2) (taylor inf b_2) (#s(alt (.f64 a b_2) (patch (.f64 a b_2) #<representation binary64>) () ())) ())
#s(alt (* a b_2) (taylor inf b_2) (#s(alt (.f64 a b_2) (patch (.f64 a b_2) #<representation binary64>) () ())) ())
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#s(alt (* b_2 (- (+ (* 1/2 (/ (* a c) (* (pow b_2 2) (sqrt -1)))) (/ 1 (sqrt -1))) 1)) (taylor inf b_2) (#s(alt (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (patch (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (* b_2 (- (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (* (pow b_2 4) (sqrt -1)))) (/ 1 (sqrt -1))) (+ 1 (* -1/2 (/ (* a c) (* (pow b_2 2) (sqrt -1))))))) (taylor inf b_2) (#s(alt (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (patch (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (* b_2 (- (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (* (pow b_2 6) (sqrt -1)))) (/ 1 (sqrt -1))) (+ 1 (+ (* -1/2 (/ (* a c) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (/ (* (pow a 2) (pow c 2)) (* (pow b_2 4) (sqrt -1)))))))) (taylor inf b_2) (#s(alt (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (patch (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
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#s(alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1)) (taylor inf b_2) (#s(alt (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (patch (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1)) (taylor inf b_2) (#s(alt (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (patch (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (pow b_2 2) (taylor inf b_2) (#s(alt #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (patch #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (* b_2 (- (* -1 a) (* a (sqrt -1)))) (pow a 2))) (taylor -inf b_2) (#s(alt (/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (- (+ (* -1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ -1 a)) (/ (sqrt -1) a)))) (taylor -inf b_2) (#s(alt (/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (- (+ (* -1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (/ -1 a))) (/ (sqrt -1) a)))) (taylor -inf b_2) (#s(alt (/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (- (+ (* -1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (* -1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (/ -1 a)))) (/ (sqrt -1) a)))) (taylor -inf b_2) (#s(alt (/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (- (* -1 a) (* a (sqrt -1))))) (taylor -inf b_2) (#s(alt (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) (patch (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (- (+ (* -1 a) (* -1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2)))) (* a (sqrt -1))))) (taylor -inf b_2) (#s(alt (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) (patch (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (- (+ (* -1 a) (* 1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow b_2 4)))) (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* a (sqrt -1)))))) (taylor -inf b_2) (#s(alt (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) (patch (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (- (+ (* -1 a) (* -1/16 (/ (* (pow a 4) (* (pow c 3) (sqrt -1))) (pow b_2 6)))) (+ (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* a (sqrt -1))))))) (taylor -inf b_2) (#s(alt (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) (patch (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) #<representation binary64>) () ())) ())
#s(alt (* a b_2) (taylor -inf b_2) (#s(alt (.f64 a b_2) (patch (.f64 a b_2) #<representation binary64>) () ())) ())
#s(alt (* a b_2) (taylor -inf b_2) (#s(alt (.f64 a b_2) (patch (.f64 a b_2) #<representation binary64>) () ())) ())
#s(alt (* a b_2) (taylor -inf b_2) (#s(alt (.f64 a b_2) (patch (.f64 a b_2) #<representation binary64>) () ())) ())
#s(alt (* a b_2) (taylor -inf b_2) (#s(alt (.f64 a b_2) (patch (.f64 a b_2) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (* b_2 (sqrt -1)))) (taylor -inf b_2) (#s(alt (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a) (patch (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* a (sqrt -1))))) (taylor -inf b_2) (#s(alt (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a) (patch (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (+ (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* a (sqrt -1)))))) (taylor -inf b_2) (#s(alt (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a) (patch (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (+ (* -1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 4) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* a (sqrt -1))))))) (taylor -inf b_2) (#s(alt (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a) (patch (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (+ 1 (/ 1 (sqrt -1))))) (taylor -inf b_2) (#s(alt (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (patch (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (+ 1 (+ (* 1/2 (/ (* a c) (* (pow b_2 2) (sqrt -1)))) (/ 1 (sqrt -1)))))) (taylor -inf b_2) (#s(alt (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (patch (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (- (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (* (pow b_2 4) (sqrt -1)))) (/ 1 (sqrt -1)))) (* -1/2 (/ (* a c) (* (pow b_2 2) (sqrt -1))))))) (taylor -inf b_2) (#s(alt (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (patch (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (- (+ 1 (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (* (pow b_2 6) (sqrt -1)))) (/ 1 (sqrt -1)))) (+ (* -1/2 (/ (* a c) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (/ (* (pow a 2) (pow c 2)) (* (pow b_2 4) (sqrt -1)))))))) (taylor -inf b_2) (#s(alt (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (patch (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) #<representation binary64>) () ())) ())
#s(alt (/ b_2 (sqrt -1)) (taylor -inf b_2) (#s(alt (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) (patch (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (- (* -1/2 (/ (* a c) (* (pow b_2 2) (sqrt -1)))) (/ 1 (sqrt -1))))) (taylor -inf b_2) (#s(alt (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) (patch (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (- (+ (* -1/2 (/ (* a c) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (/ (* (pow a 2) (pow c 2)) (* (pow b_2 4) (sqrt -1))))) (/ 1 (sqrt -1))))) (taylor -inf b_2) (#s(alt (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) (patch (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (- (+ (* -1/2 (/ (* a c) (* (pow b_2 2) (sqrt -1)))) (+ (* -1/16 (/ (* (pow a 3) (pow c 3)) (* (pow b_2 6) (sqrt -1)))) (* 1/8 (/ (* (pow a 2) (pow c 2)) (* (pow b_2 4) (sqrt -1)))))) (/ 1 (sqrt -1))))) (taylor -inf b_2) (#s(alt (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) (patch (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow b_2 2)) (taylor -inf b_2) (#s(alt (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (patch (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1)) (taylor -inf b_2) (#s(alt (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (patch (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1)) (taylor -inf b_2) (#s(alt (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (patch (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1)) (taylor -inf b_2) (#s(alt (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (patch (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) #<representation binary64>) () ())) ())
#s(alt (pow b_2 2) (taylor -inf b_2) (#s(alt #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (patch #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #<representation binary64>) () ())) ())
#s(alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) (taylor -inf b_2) (#s(alt #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (patch #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #<representation binary64>) () ())) ())
#s(alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) (taylor -inf b_2) (#s(alt #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (patch #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #<representation binary64>) () ())) ())
#s(alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) (taylor -inf b_2) (#s(alt #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (patch #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (sqrt -1))) (taylor -inf b_2) (#s(alt (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) (patch (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))) (taylor -inf b_2) (#s(alt (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) (patch (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))) (taylor -inf b_2) (#s(alt (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) (patch (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))) (taylor -inf b_2) (#s(alt (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) (patch (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* b_2 (+ 1 (/ 1 (sqrt -1)))) a)) (taylor -inf b_2) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (+ (* 1/2 (/ c (* (pow b_2 2) (sqrt -1)))) (+ (/ 1 a) (/ 1 (* a (sqrt -1))))))) (taylor -inf b_2) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (/ c (* (pow b_2 2) (sqrt -1)))) (+ (/ 1 a) (/ 1 (* a (sqrt -1)))))))) (taylor -inf b_2) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (/ c (* (pow b_2 2) (sqrt -1)))) (+ (/ 1 a) (/ 1 (* a (sqrt -1))))))))) (taylor -inf b_2) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) a) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	c	@	-inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (/ 1/2 b_2) (* (/ b_2 a) -2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (/ c b_2)) (/ c b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (- (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a)) (* a a)) (- (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a)) (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a) (- (neg b_2) (/ (neg (+ (* c a) (* b_2 b_2))) (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (/ (neg (+ (* c a) (* b_2 b_2))) (sqrt (neg (+ (* c a) (* b_2 b_2))))) (neg (+ (* c a) (* b_2 b_2))) (- (* b_2 b_2) (* a c)) (neg a) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (/ (- (neg b_2) (/ (neg (+ (* c a) (* b_2 b_2))) (sqrt (neg (+ (* c a) (* b_2 b_2)))))) a))
10.0ms	b_2	@	0	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (/ 1/2 b_2) (* (/ b_2 a) -2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (/ c b_2)) (/ c b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (- (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a)) (* a a)) (- (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a)) (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a) (- (neg b_2) (/ (neg (+ (* c a) (* b_2 b_2))) (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (/ (neg (+ (* c a) (* b_2 b_2))) (sqrt (neg (+ (* c a) (* b_2 b_2))))) (neg (+ (* c a) (* b_2 b_2))) (- (* b_2 b_2) (* a c)) (neg a) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (/ (- (neg b_2) (/ (neg (+ (* c a) (* b_2 b_2))) (sqrt (neg (+ (* c a) (* b_2 b_2)))))) a))
7.0ms	c	@	inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (/ 1/2 b_2) (* (/ b_2 a) -2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (/ c b_2)) (/ c b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (- (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a)) (* a a)) (- (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a)) (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a) (- (neg b_2) (/ (neg (+ (* c a) (* b_2 b_2))) (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (/ (neg (+ (* c a) (* b_2 b_2))) (sqrt (neg (+ (* c a) (* b_2 b_2))))) (neg (+ (* c a) (* b_2 b_2))) (- (* b_2 b_2) (* a c)) (neg a) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (/ (- (neg b_2) (/ (neg (+ (* c a) (* b_2 b_2))) (sqrt (neg (+ (* c a) (* b_2 b_2)))))) a))
6.0ms	a	@	inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (/ 1/2 b_2) (* (/ b_2 a) -2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (/ c b_2)) (/ c b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (- (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a)) (* a a)) (- (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a)) (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a) (- (neg b_2) (/ (neg (+ (* c a) (* b_2 b_2))) (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (/ (neg (+ (* c a) (* b_2 b_2))) (sqrt (neg (+ (* c a) (* b_2 b_2))))) (neg (+ (* c a) (* b_2 b_2))) (- (* b_2 b_2) (* a c)) (neg a) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (/ (- (neg b_2) (/ (neg (+ (* c a) (* b_2 b_2))) (sqrt (neg (+ (* c a) (* b_2 b_2)))))) a))
6.0ms	b_2	@	inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (/ 1/2 b_2) (* (/ b_2 a) -2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (/ c b_2)) (/ c b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (- (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a)) (* a a)) (- (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a)) (* a b_2) (* (sqrt (neg (+ (* c a) (* b_2 b_2)))) a) (- (neg b_2) (/ (neg (+ (* c a) (* b_2 b_2))) (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (/ (neg (+ (* c a) (* b_2 b_2))) (sqrt (neg (+ (* c a) (* b_2 b_2))))) (neg (+ (* c a) (* b_2 b_2))) (- (* b_2 b_2) (* a c)) (neg a) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (/ (- (neg b_2) (/ (neg (+ (* c a) (* b_2 b_2))) (sqrt (neg (+ (* c a) (* b_2 b_2)))))) a))

simplify262.0ms (3.4%)

Memory

29.0MiB live, 183.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 508×	`lower-fma.f64`
9 508×	`lower-fma.f32`
6 420×	`lower-*.f64`
6 420×	`lower-*.f32`
5 582×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1449	13741
1	4864	13473
0	8464	12952

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 669

Calls

Call 1

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

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

rewrite275.0ms (3.5%)

Memory

-5.5MiB live, 111.5MiB allocated

Rules

5 468×	`lower-fma.f32`
5 464×	`lower-fma.f64`
5 106×	`lower-/.f32`
5 092×	`lower-/.f64`
4 618×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	248
0	66	256
1	256	250
2	1931	220
0	9535	220

Stop Event

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

Counts

22 → 880

Calls

Call 1

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

Outputs
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eval488.0ms (6.3%)

Memory: 12.4MiB live, 286.1MiB allocated
Compiler: Compiled 55 107 to 6 127 computations (88.9% saved)

prune144.0ms (1.8%)

Memory

-17.7MiB live, 144.9MiB allocated

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	1 952	12	1 964
Fresh	5	3	8
Picked	2	3	5
Done	0	1	1
Total	1 959	19	1 978

Accuracy

93.9%

Counts

1 978 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.8%	(/.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2))
	34.7%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) a)
	30.4%	(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (.f64 a (fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))))
▶	15.8%	(/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) a)) (.f64 a a))
▶	29.2%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))))) a)
✓	59.8%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	35.3%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
	33.6%	(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))) a)
	12.6%	(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (fma.f64 (.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) (/.f64 c b_2) #s(literal -1 binary64)) b_2))) a)
▶	35.7%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
▶	25.6%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c a) b_2))) a)
	35.3%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))))
✓	35.7%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
	35.7%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
	32.9%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
	33.1%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2)))
✓	33.1%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
	13.1%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (exp.f64 (.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64)))))
▶	12.4%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))

Compiler

Compiled 449 to 367 computations (18.3% saved)

simplify108.0ms (1.4%)

Memory

21.7MiB live, 136.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))))
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))))) a)
cost-diff	256	(-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))))
cost-diff	0	(.f64 (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))) a)
cost-diff	0	(*.f64 a b_2)
cost-diff	320	(-.f64 (.f64 a b_2) (.f64 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))) a))
cost-diff	640	(/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) a)) (.f64 a a))
cost-diff	0	(/.f64 (*.f64 c a) b_2)
cost-diff	0	(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c a) b_2))
cost-diff	0	#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c a) b_2)))
cost-diff	0	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c a) b_2))) a)
cost-diff	0	(/.f64 c b_2)
cost-diff	0	(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
cost-diff	0	(*.f64 b_2 #s(literal -2 binary64))
cost-diff	0	#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.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)

Rules

6 660×	`lower-fma.f32`
6 658×	`lower-fma.f64`
2 852×	`lower-*.f32`
2 834×	`lower-*.f64`
1 850×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	376
0	72	376
1	130	370
2	238	366
3	535	364
4	1451	364
5	5037	364
6	7550	364
0	8174	362

Stop Event

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

Calls

Call 1

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

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

localize112.0ms (1.4%)

Memory

-47.0MiB live, 169.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.08984375	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))))) a)
accuracy	0.34523310255422407	#s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))
accuracy	3.9012150118658044	(sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))
accuracy	4.022294595180112	(/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))))
accuracy	0.34523310255422407	#s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))
accuracy	0.44921668583020585	(-.f64 (.f64 a b_2) (.f64 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))) a))
accuracy	3.9012150118658044	(sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))
accuracy	11.087985798398007	(/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) a)) (.f64 a a))
accuracy	0	(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c a) b_2))
accuracy	0.08984375	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c a) b_2))) a)
accuracy	1.5701721994633735	(/.f64 (*.f64 c a) b_2)
accuracy	21.50891847991675	#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c a) b_2)))
accuracy	0	(/.f64 c b_2)
accuracy	0	(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
accuracy	0.36049048786356164	#s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
accuracy	21.54596107261579	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
accuracy	0	(*.f64 b_2 #s(literal -2 binary64))
accuracy	0.08984375	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
accuracy	21.509265176229928	#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64)))

Samples

52.0ms	167×	0	invalid
26.0ms	89×	0	valid

Compiler

Compiled 295 to 39 computations (86.8% saved)

Precisions

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

ival-mult: 20.0ms (42.5% of total)

ival-div: 12.0ms (25.5% of total)

ival-sub: 5.0ms (10.6% of total)

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

ival-sqrt: 3.0ms (6.4% of total)

ival-add: 2.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

series50.0ms (0.6%)

Memory

12.4MiB live, 90.1MiB allocated

Counts

21 → 672

Calls

Call 1

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

Outputs
#s(alt (* -2 (/ b_2 a)) (taylor 0 a) (#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) (taylor 0 a) (#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a) (taylor 0 a) (#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a) (taylor 0 a) (#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* -2 b_2) (taylor 0 a) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ (* a c) b_2)) (* 2 b_2)) (taylor 0 a) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2)) (taylor 0 a) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2)) (taylor 0 a) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ b_2 a)) (taylor 0 a) (#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))) (patch #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) (taylor 0 a) (#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))) (patch #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a) (taylor 0 a) (#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))) (patch #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a) (taylor 0 a) (#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))) (patch #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ b_2 a)) (taylor 0 a) (#s(alt #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) (patch #s(approx (+ ( (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) (taylor 0 a) (#s(alt #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) (patch #s(approx (+ ( (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) (taylor 0 a) (#s(alt #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) (patch #s(approx (+ ( (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) (taylor 0 a) (#s(alt #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) (patch #s(approx (+ ( (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ b_2 a)) (taylor 0 a) (#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c a) b_2))) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c a) b_2))) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) (taylor 0 a) (#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c a) b_2))) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c a) b_2))) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a) (taylor 0 a) (#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c a) b_2))) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c a) b_2))) a) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a) (taylor 0 a) (#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c a) b_2))) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c a) b_2))) a) #<representation binary64>) () ())) ())
#s(alt (* -2 b_2) (taylor 0 a) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c a) b_2))) (patch #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c a) b_2))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/2 (/ (* a c) b_2)) (* 2 b_2)) (taylor 0 a) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c a) b_2))) (patch #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c a) b_2))) #<representation binary64>) () ())) ())
#s(alt (- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2)) (taylor 0 a) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c a) b_2))) (patch #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c a) b_2))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ b_2 (sqrt -1))) (* -1/2 (/ (* a c) (* b_2 (sqrt -1))))) (taylor 0 a) (#s(alt (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (patch (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ b_2 (sqrt -1))) (* a (+ (* -1/2 (/ c (* b_2 (sqrt -1)))) (* a (+ (* -1/16 (/ (* a (pow c 3)) (* (pow b_2 5) (sqrt -1)))) (* 1/8 (/ (pow c 2) (* (pow b_2 3) (sqrt -1))))))))) (taylor 0 a) (#s(alt (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (patch (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) #<representation binary64>) () ())) ())
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#s(alt (* -1/2 (/ (* a c) b_2)) (taylor inf c) (#s(alt (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c a) b_2)) (patch (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c a) b_2)) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b_2) (taylor inf c) (#s(alt (/.f64 (.f64 c a) b_2) (patch (/.f64 (.f64 c a) b_2) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b_2) (taylor inf c) (#s(alt (/.f64 (.f64 c a) b_2) (patch (/.f64 (.f64 c a) b_2) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b_2) (taylor inf c) (#s(alt (/.f64 (.f64 c a) b_2) (patch (/.f64 (.f64 c a) b_2) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b_2) (taylor inf c) (#s(alt (/.f64 (.f64 c a) b_2) (patch (/.f64 (.f64 c a) b_2) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor inf c) (#s(alt (/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) a)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) a)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))) (taylor inf c) (#s(alt (/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) a)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) a)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) a)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) a)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(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) (sqrt -1)))) (/ b_2 (* a c)))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) a)) (.f64 a a)) (patch (/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) a)) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) (taylor inf c) (#s(alt (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) a)) (patch (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ (* a b_2) c) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))) (taylor inf c) (#s(alt (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) a)) (patch (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (/ (* a b_2) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))) (taylor inf c) (#s(alt (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) a)) (patch (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (/ (* a b_2) c)) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))) (taylor inf c) (#s(alt (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) a)) (patch (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))) a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* (pow a 3) c)) (sqrt -1)) (taylor inf c) (#s(alt (.f64 (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) a) (patch (.f64 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))) (taylor inf c) (#s(alt (.f64 (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) a) (patch (.f64 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))) (taylor inf c) (#s(alt (.f64 (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) a) (patch (.f64 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) (taylor inf c) (#s(alt (.f64 (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) a) (patch (.f64 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))) a) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (/ 1 (sqrt -1))) (taylor inf c) (#s(alt (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))))) (patch (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ b_2 c)) (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))))) (taylor inf c) (#s(alt (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))))) (patch (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (/ b_2 c)))) (taylor inf c) (#s(alt (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))))) (patch (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (/ b_2 c))))) (taylor inf c) (#s(alt (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))))) (patch (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (/ 1 (sqrt -1))) (taylor inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))))) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))))) a) #<representation binary64>) () ())) ())
#s(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))) (/ 1 (sqrt -1)))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))))) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (taylor inf c) (#s(alt (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (patch (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))) (taylor inf c) (#s(alt (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (patch (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (* (sqrt (/ a c)) (/ 1 (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) (sqrt -1))))))) (taylor inf c) (#s(alt (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (patch (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))))))) (taylor inf c) (#s(alt (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (patch (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -1)) (taylor inf c) (#s(alt (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) (patch (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (taylor inf c) (#s(alt (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) (patch (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))) #<representation binary64>) () ())) ())
#s(alt (* 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))))) (taylor inf c) (#s(alt (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) (patch (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))) #<representation binary64>) () ())) ())
#s(alt (* 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)))))) (taylor inf c) (#s(alt (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) (patch (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a c)) (taylor inf c) (#s(alt #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)) (patch #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (pow b_2 2) c)) a)) (taylor inf c) (#s(alt #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)) (patch #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (pow b_2 2) c)) a)) (taylor inf c) (#s(alt #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)) (patch #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (pow b_2 2) c)) a)) (taylor inf c) (#s(alt #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)) (patch #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor -inf c) (#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c))))) (taylor -inf c) (#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c))))) (taylor -inf c) (#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c))))) (taylor -inf c) (#s(alt (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) a) (patch (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -1)) (taylor -inf c) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1))))) (taylor -inf c) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 b_2 #s(literal -2 binary64))) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (- (* b_2 (+ a (* b_2 (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -1))))))) (* (sqrt (* (pow a 3) c)) (sqrt -1))) (taylor 0 b_2) (#s(alt (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) a)) (patch (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))) a)) #<representation binary64>) () ())) ())
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#s(alt (* a b_2) (taylor 0 b_2) (#s(alt (.f64 a b_2) (patch (.f64 a b_2) #<representation binary64>) () ())) ())
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#s(alt (+ (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (* (pow a 3) c)) (sqrt -1))) (taylor 0 b_2) (#s(alt (.f64 (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) a) (patch (.f64 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* (sqrt (* (pow a 3) c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor 0 b_2) (#s(alt (.f64 (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) a) (patch (.f64 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* (sqrt (* (pow a 3) c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ a c)) (sqrt -1))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (sqrt -1))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 2) (sqrt -1))))))))) (taylor 0 b_2) (#s(alt (.f64 (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) a) (patch (.f64 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))) a) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (/ 1 (sqrt -1))) (taylor 0 b_2) (#s(alt (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))))) (patch (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 b_2) (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1))))) (taylor 0 b_2) (#s(alt (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))))) (patch (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))))) #<representation binary64>) () ())) ())
#s(alt (- (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1))))) (taylor 0 b_2) (#s(alt (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))))) (patch (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))))) #<representation binary64>) () ())) ())
#s(alt (- (* b_2 (- (* b_2 (- (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1))))) (taylor 0 b_2) (#s(alt (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))))) (patch (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (/ 1 (sqrt -1))) (taylor 0 b_2) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (taylor 0 b_2) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (taylor 0 b_2) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))))) a) #<representation binary64>) () ())) ())
#s(alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (taylor 0 b_2) (#s(alt (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))))) a) (patch (/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))))) a) #<representation binary64>) () ())) ())
#s(alt (* -1 b_2) (taylor 0 b_2) (#s(alt (neg.f64 b_2) (patch (neg.f64 b_2) #<representation binary64>) () ())) ())
#s(alt (* -1 b_2) (taylor 0 b_2) (#s(alt (neg.f64 b_2) (patch (neg.f64 b_2) #<representation binary64>) () ())) ())
#s(alt (* -1 b_2) (taylor 0 b_2) (#s(alt (neg.f64 b_2) (patch (neg.f64 b_2) #<representation binary64>) () ())) ())
#s(alt (* -1 b_2) (taylor 0 b_2) (#s(alt (neg.f64 b_2) (patch (neg.f64 b_2) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (taylor 0 b_2) (#s(alt (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (patch (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1))))) (taylor 0 b_2) (#s(alt (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (patch (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1))))))) (taylor 0 b_2) (#s(alt (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (patch (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1))))))))) (taylor 0 b_2) (#s(alt (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (patch (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -1)) (taylor 0 b_2) (#s(alt (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) (patch (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1))) (taylor 0 b_2) (#s(alt (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) (patch (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) (taylor 0 b_2) (#s(alt (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) (patch (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (sqrt -1))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 2) (sqrt -1))))))))) (taylor 0 b_2) (#s(alt (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) (patch (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))) #<representation binary64>) () ())) ())
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#s(alt (* -1 b_2) (taylor -inf b_2) (#s(alt (neg.f64 b_2) (patch (neg.f64 b_2) #<representation binary64>) () ())) ())
#s(alt (/ b_2 (sqrt -1)) (taylor -inf b_2) (#s(alt (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (patch (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (- (* -1/2 (/ (* a c) (* (pow b_2 2) (sqrt -1)))) (/ 1 (sqrt -1))))) (taylor -inf b_2) (#s(alt (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (patch (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (- (+ (* -1/2 (/ (* a c) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (/ (* (pow a 2) (pow c 2)) (* (pow b_2 4) (sqrt -1))))) (/ 1 (sqrt -1))))) (taylor -inf b_2) (#s(alt (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (patch (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (- (+ (* -1/2 (/ (* a c) (* (pow b_2 2) (sqrt -1)))) (+ (* -1/16 (/ (* (pow a 3) (pow c 3)) (* (pow b_2 6) (sqrt -1)))) (* 1/8 (/ (* (pow a 2) (pow c 2)) (* (pow b_2 4) (sqrt -1)))))) (/ 1 (sqrt -1))))) (taylor -inf b_2) (#s(alt (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (patch (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (sqrt -1))) (taylor -inf b_2) (#s(alt (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) (patch (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))) (taylor -inf b_2) (#s(alt (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) (patch (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))) (taylor -inf b_2) (#s(alt (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) (patch (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))) (taylor -inf b_2) (#s(alt (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) (patch (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow b_2 2)) (taylor -inf b_2) (#s(alt #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)) (patch #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1)) (taylor -inf b_2) (#s(alt #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)) (patch #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1)) (taylor -inf b_2) (#s(alt #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)) (patch #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1)) (taylor -inf b_2) (#s(alt #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)) (patch #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)) #<representation binary64>) () ())) ())

Calls

9 calls:

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

simplify204.0ms (2.6%)

Memory

4.1MiB live, 357.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 598×	`lower-fma.f64`
8 598×	`lower-fma.f32`
8 090×	`lower-*.f64`
8 090×	`lower-*.f32`
5 508×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1361	13521
1	4543	13275
0	9175	12786

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 672

Calls

Call 1

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

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

rewrite179.0ms (2.3%)

Memory

5.6MiB live, 326.9MiB allocated

Rules

5 050×	`lower-/.f32`
5 036×	`lower-/.f64`
4 742×	`lower-fma.f32`
4 740×	`lower-fma.f64`
4 604×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	301
0	72	301
1	262	295
2	1834	295
0	8713	293

Stop Event

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

Counts

21 → 536

Calls

Call 1

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

Outputs
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eval159.0ms (2%)

Memory: 26.2MiB live, 412.1MiB allocated
Compiler: Compiled 33 910 to 3 719 computations (89% saved)

prune63.0ms (0.8%)

Memory

-40.2MiB live, 174.0MiB allocated

Pruning

27 alts after pruning (21 fresh and 6 done)

	Pruned	Kept	Total
New	1 284	12	1 296
Fresh	1	9	10
Picked	3	2	5
Done	0	4	4
Total	1 288	27	1 315

Accuracy

93.9%

Counts

1 315 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.8%	(/.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2))
	17.9%	(/.f64 (-.f64 (.f64 (neg.f64 b_2) (.f64 a (/.f64 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (.f64 a #s(literal 1 binary64))) (.f64 a (.f64 a (/.f64 (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))))
	30.4%	(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (.f64 a (fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))))
	29.2%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) a)
✓	59.8%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	35.3%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
	33.6%	(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))) a)
	12.6%	(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (fma.f64 (.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) (/.f64 c b_2) #s(literal -1 binary64)) b_2))) a)
▶	29.2%	(/.f64 (+.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) (neg.f64 b_2)) a)
▶	15.8%	(/.f64 (.f64 a (-.f64 b_2 (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))))) (.f64 a a))
✓	35.7%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
✓	25.6%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c a) b_2))) a)
	14.0%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -1/2 binary64) (exp.f64 (.f64 (log.f64 (/.f64 (/.f64 b_2 a) c)) #s(literal -1 binary64))))) a)
	35.3%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))))
	29.1%	(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)))))
	35.6%	(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
	35.6%	(.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #s(literal -1 binary64)) #s(literal -1 binary64)))
	15.9%	(exp.f64 (.f64 (log.f64 (/.f64 a #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))))) #s(literal -1 binary64)))
▶	15.6%	(exp.f64 (.f64 (log.f64 (/.f64 a #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64)))
✓	35.7%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
▶	35.7%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
	32.9%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
	33.1%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2)))
✓	33.1%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
	13.1%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (exp.f64 (.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64)))))
	12.4%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c))))
▶	12.4%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))

Compiler

Compiled 661 to 539 computations (18.5% saved)

simplify92.0ms (1.2%)

Memory

23.4MiB live, 139.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))
cost-diff	0	(log.f64 (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
cost-diff	192	(.f64 (log.f64 (/.f64 a #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64))
cost-diff	12928	(exp.f64 (.f64 (log.f64 (/.f64 a #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64)))
cost-diff	0	(fma.f64 c a (*.f64 b_2 b_2))
cost-diff	0	(/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))))
cost-diff	0	(/.f64 (+.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) (neg.f64 b_2)) a)
cost-diff	128	(+.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) (neg.f64 b_2))
cost-diff	0	(sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))
cost-diff	0	(-.f64 b_2 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))))
cost-diff	0	(.f64 a (-.f64 b_2 (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))))
cost-diff	640	(/.f64 (.f64 a (-.f64 b_2 (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))))) (.f64 a a))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) b_2)
cost-diff	0	(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
cost-diff	0	#s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))
cost-diff	0	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))
cost-diff	0	(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
cost-diff	0	(/.f64 #s(literal -2 binary64) a)
cost-diff	0	(fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))

Rules

4 520×	`lower-fma.f32`
4 516×	`lower-fma.f64`
2 556×	`lower-*.f32`
2 540×	`lower-*.f64`
1 908×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	50	410
0	75	406
1	129	401
2	206	399
3	339	399
4	612	397
5	1563	397
6	5229	397
0	8056	397

Stop Event

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

Calls

Call 1

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

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

localize113.0ms (1.5%)

Memory

-8.0MiB live, 189.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(log.f64 (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
accuracy	0.0390625	(/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))
accuracy	0.869614302494475	(exp.f64 (.f64 (log.f64 (/.f64 a #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64)))
accuracy	10.674084987249028	#s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
accuracy	0.0546875	(/.f64 (+.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) (neg.f64 b_2)) a)
accuracy	0.19252429499164275	#s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))
accuracy	2.199003133029726	(sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))
accuracy	2.2536905375810665	(/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))))
accuracy	0.03515625	(.f64 a (-.f64 b_2 (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))))
accuracy	0.19252429499164275	#s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))
accuracy	2.199003133029726	(sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))
accuracy	5.26289407550401	(/.f64 (.f64 a (-.f64 b_2 (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))))) (.f64 a a))
accuracy	0	(/.f64 #s(literal 1/2 binary64) b_2)
accuracy	0.02734375	(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
accuracy	0.19927786806875766	#s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))
accuracy	10.719569433977421	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))
accuracy	0	(/.f64 c b_2)
accuracy	0	(/.f64 #s(literal -2 binary64) a)
accuracy	0	(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))
accuracy	10.719569433977421	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))

Samples

64.0ms	212×	0	invalid
13.0ms	44×	0	valid

Compiler

Compiled 322 to 43 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 21.0ms (38.4% of total)

ival-div: 14.0ms (25.6% of total)

ival-add: 4.0ms (7.3% of total)

ival-sub: 4.0ms (7.3% of total)

ival-neg: 4.0ms (7.3% of total)

ival-sqrt: 3.0ms (5.5% of total)

ival-exp: 2.0ms (3.7% of total)

ival-log: 2.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

series117.0ms (1.5%)

Memory

16.0MiB live, 126.3MiB allocated

Counts

23 → 744

Calls

Call 1

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

Outputs
#s(alt (* -2 (/ b_2 a)) (taylor 0 a) (#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))) (patch #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) (taylor 0 a) (#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))) (patch #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a) (taylor 0 a) (#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))) (patch #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a) (taylor 0 a) (#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))) (patch #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ b_2 a)) (taylor 0 a) (#s(alt (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) (patch (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) (taylor 0 a) (#s(alt (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) (patch (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) (taylor 0 a) (#s(alt (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) (patch (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) (taylor 0 a) (#s(alt (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) (patch (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -2 a) (taylor 0 a) (#s(alt (/.f64 #s(literal -2 binary64) a) (patch (/.f64 #s(literal -2 binary64) a) #<representation binary64>) () ())) ())
#s(alt (/ -2 a) (taylor 0 a) (#s(alt (/.f64 #s(literal -2 binary64) a) (patch (/.f64 #s(literal -2 binary64) a) #<representation binary64>) () ())) ())
#s(alt (/ -2 a) (taylor 0 a) (#s(alt (/.f64 #s(literal -2 binary64) a) (patch (/.f64 #s(literal -2 binary64) a) #<representation binary64>) () ())) ())
#s(alt (/ -2 a) (taylor 0 a) (#s(alt (/.f64 #s(literal -2 binary64) a) (patch (/.f64 #s(literal -2 binary64) a) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ b_2 a)) (taylor 0 a) (#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))) (patch #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) (taylor 0 a) (#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))) (patch #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a) (taylor 0 a) (#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))) (patch #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a) (taylor 0 a) (#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))) (patch #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ b_2 a)) (taylor 0 a) (#s(alt #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)) (patch #s(approx (+ ( (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) (taylor 0 a) (#s(alt #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)) (patch #s(approx (+ ( (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) (taylor 0 a) (#s(alt #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)) (patch #s(approx (+ ( (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) (taylor 0 a) (#s(alt #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)) (patch #s(approx (+ ( (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)) #<representation binary64>) () ())) ())
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#s(alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1))))))) (taylor inf c) (#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))) (patch #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))) (taylor inf c) (#s(alt #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))) (patch #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ c b_2)) (taylor inf c) (#s(alt #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)) (patch #s(approx (+ ( (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))) (taylor inf c) (#s(alt #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)) (patch #s(approx (+ ( (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))) (taylor inf c) (#s(alt #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)) (patch #s(approx (+ ( (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))) (taylor inf c) (#s(alt #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)) (patch #s(approx (+ ( (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ c b_2)) (taylor inf c) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) (patch (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ c b_2)) (taylor inf c) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) (patch (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ c b_2)) (taylor inf c) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) (patch (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ c b_2)) (taylor inf c) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) (patch (.f64 (/.f64 #s(literal 1/2 binary64) b_2) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor inf c) (#s(alt (/.f64 (.f64 a (-.f64 b_2 (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))))) (.f64 a a)) (patch (/.f64 (.f64 a (-.f64 b_2 (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))) (taylor inf c) (#s(alt (/.f64 (.f64 a (-.f64 b_2 (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))))) (.f64 a a)) (patch (/.f64 (.f64 a (-.f64 b_2 (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf c) (#s(alt (/.f64 (.f64 a (-.f64 b_2 (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))))) (.f64 a a)) (patch (/.f64 (.f64 a (-.f64 b_2 (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(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) (sqrt -1)))) (/ b_2 (* a c)))))) (taylor inf c) (#s(alt (/.f64 (.f64 a (-.f64 b_2 (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))))) (.f64 a a)) (patch (/.f64 (.f64 a (-.f64 b_2 (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) (taylor inf c) (#s(alt (.f64 a (-.f64 b_2 (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))))) (patch (.f64 a (-.f64 b_2 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c))) (taylor inf c) (#s(alt (.f64 a (-.f64 b_2 (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))))) (patch (.f64 a (-.f64 b_2 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (/ (* a b_2) c)))) (taylor inf c) (#s(alt (.f64 a (-.f64 b_2 (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))))) (patch (.f64 a (-.f64 b_2 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (/ (* a b_2) c))))) (taylor inf c) (#s(alt (.f64 a (-.f64 b_2 (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))))) (patch (.f64 a (-.f64 b_2 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* a c)) (sqrt -1))) (taylor inf c) (#s(alt (-.f64 b_2 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (patch (-.f64 b_2 (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))) (taylor inf c) (#s(alt (-.f64 b_2 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (patch (-.f64 b_2 (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) (taylor inf c) (#s(alt (-.f64 b_2 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (patch (-.f64 b_2 (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (/ b_2 c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) (taylor inf c) (#s(alt (-.f64 b_2 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (patch (-.f64 b_2 (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -1)) (taylor inf c) (#s(alt (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) (patch (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (taylor inf c) (#s(alt (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) (patch (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))) #<representation binary64>) () ())) ())
#s(alt (* 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))))) (taylor inf c) (#s(alt (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) (patch (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))) #<representation binary64>) () ())) ())
#s(alt (* 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)))))) (taylor inf c) (#s(alt (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) (patch (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (/ 1 (sqrt -1))) (taylor inf c) (#s(alt (+.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (neg.f64 b_2)) (patch (+.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) (neg.f64 b_2)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))) (taylor inf c) (#s(alt (+.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (neg.f64 b_2)) (patch (+.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) (neg.f64 b_2)) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (/ b_2 c))) (taylor inf c) (#s(alt (+.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (neg.f64 b_2)) (patch (+.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) (neg.f64 b_2)) #<representation binary64>) () ())) ())
#s(alt (* 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)) (/ 1 (sqrt -1))))) (/ b_2 c))) (taylor inf c) (#s(alt (+.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (neg.f64 b_2)) (patch (+.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) (neg.f64 b_2)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (/ 1 (sqrt -1))) (taylor inf c) (#s(alt (/.f64 (+.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (neg.f64 b_2)) a) (patch (/.f64 (+.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) (neg.f64 b_2)) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (neg.f64 b_2)) a) (patch (/.f64 (+.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) (neg.f64 b_2)) a) #<representation binary64>) () ())) ())
#s(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))) (/ 1 (sqrt -1)))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (neg.f64 b_2)) a) (patch (/.f64 (+.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) (neg.f64 b_2)) a) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (neg.f64 b_2)) a) (patch (/.f64 (+.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) (neg.f64 b_2)) a) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (/ 1 (sqrt -1))) (taylor inf c) (#s(alt (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (patch (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))) (taylor inf c) (#s(alt (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (patch (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) #<representation binary64>) () ())) ())
#s(alt (* 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)) (/ 1 (sqrt -1)))))) (taylor inf c) (#s(alt (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (patch (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) #<representation binary64>) () ())) ())
#s(alt (* 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)) (/ 1 (sqrt -1))))))) (taylor inf c) (#s(alt (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (patch (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (fma.f64 c a (.f64 b_2 b_2)) (patch (fma.f64 c a (.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (pow b_2 2) c))) (taylor inf c) (#s(alt (fma.f64 c a (.f64 b_2 b_2)) (patch (fma.f64 c a (.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (pow b_2 2) c))) (taylor inf c) (#s(alt (fma.f64 c a (.f64 b_2 b_2)) (patch (fma.f64 c a (.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (pow b_2 2) c))) (taylor inf c) (#s(alt (fma.f64 c a (.f64 b_2 b_2)) (patch (fma.f64 c a (.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor inf c) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 a #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c))))) (taylor inf c) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 a #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (taylor 0 b_2) (#s(alt (+.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (neg.f64 b_2)) (patch (+.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) (neg.f64 b_2)) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt (/ c a)) (/ 1 (sqrt -1))) (taylor 0 b_2) (#s(alt (/.f64 (+.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (neg.f64 b_2)) a) (patch (/.f64 (+.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) (neg.f64 b_2)) a) #<representation binary64>) () ())) ())
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#s(alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (taylor 0 b_2) (#s(alt (/.f64 (+.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (neg.f64 b_2)) a) (patch (/.f64 (+.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) (neg.f64 b_2)) a) #<representation binary64>) () ())) ())
#s(alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (taylor 0 b_2) (#s(alt (/.f64 (+.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (neg.f64 b_2)) a) (patch (/.f64 (+.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) (neg.f64 b_2)) a) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (/ 1 (sqrt -1))) (taylor 0 b_2) (#s(alt (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (patch (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (taylor 0 b_2) (#s(alt (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (patch (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))))) (taylor 0 b_2) (#s(alt (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (patch (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (sqrt (* a c)) (/ 1 (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 (sqrt -1)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (sqrt -1))))))))) (taylor 0 b_2) (#s(alt (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (patch (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) #<representation binary64>) () ())) ())
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#s(alt (+ (* a c) (pow b_2 2)) (taylor 0 b_2) (#s(alt (fma.f64 c a (.f64 b_2 b_2)) (patch (fma.f64 c a (.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (pow b_2 2)) (taylor 0 b_2) (#s(alt (fma.f64 c a (.f64 b_2 b_2)) (patch (fma.f64 c a (.f64 b_2 b_2)) #<representation binary64>) () ())) ())
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#s(alt (* b_2 (- (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (/ (* a c) (* (pow b_2 2) (sqrt -1)))) (/ 1 (sqrt -1)))) 1)) (taylor inf b_2) (#s(alt (+.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (neg.f64 b_2)) (patch (+.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) (neg.f64 b_2)) #<representation binary64>) () ())) ())
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#s(alt (* b_2 (- (+ (* -1/8 (/ (* a (pow c 2)) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (/ c (* (pow b_2 2) (sqrt -1)))) (/ 1 (* a (sqrt -1))))) (/ 1 a))) (taylor inf b_2) (#s(alt (/.f64 (+.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (neg.f64 b_2)) a) (patch (/.f64 (+.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) (neg.f64 b_2)) a) #<representation binary64>) () ())) ())
#s(alt (* b_2 (- (+ (* -1/8 (/ (* a (pow c 2)) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (/ c (* (pow b_2 2) (sqrt -1)))) (/ 1 (* a (sqrt -1)))))) (/ 1 a))) (taylor inf b_2) (#s(alt (/.f64 (+.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (neg.f64 b_2)) a) (patch (/.f64 (+.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) (neg.f64 b_2)) a) #<representation binary64>) () ())) ())
#s(alt (/ b_2 (sqrt -1)) (taylor inf b_2) (#s(alt (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (patch (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) #<representation binary64>) () ())) ())
#s(alt (* b_2 (+ (* 1/2 (/ (* a c) (* (pow b_2 2) (sqrt -1)))) (/ 1 (sqrt -1)))) (taylor inf b_2) (#s(alt (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (patch (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) #<representation binary64>) () ())) ())
#s(alt (* b_2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (/ (* a c) (* (pow b_2 2) (sqrt -1)))) (/ 1 (sqrt -1))))) (taylor inf b_2) (#s(alt (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (patch (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) #<representation binary64>) () ())) ())
#s(alt (* b_2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (/ (* a c) (* (pow b_2 2) (sqrt -1)))) (/ 1 (sqrt -1)))))) (taylor inf b_2) (#s(alt (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)))) (patch (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) #<representation binary64>) () ())) ())
#s(alt (pow b_2 2) (taylor inf b_2) (#s(alt (fma.f64 c a (.f64 b_2 b_2)) (patch (fma.f64 c a (.f64 b_2 b_2)) #<representation binary64>) () ())) ())
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#s(alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2)))) (taylor inf b_2) (#s(alt (fma.f64 c a (.f64 b_2 b_2)) (patch (fma.f64 c a (.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2)))) (taylor inf b_2) (#s(alt (fma.f64 c a (.f64 b_2 b_2)) (patch (fma.f64 c a (.f64 b_2 b_2)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ b_2 a)) (taylor inf b_2) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 a #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))) (taylor inf b_2) (#s(alt (exp.f64 (.f64 (log.f64 (/.f64 a #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (+ (log (/ 2 c)) (* -1 (log (/ -1 b_2))))) (* 1/4 (/ (* a c) (pow b_2 2)))) (taylor -inf b_2) (#s(alt (.f64 (log.f64 (/.f64 a #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64)) (patch (.f64 (log.f64 (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (+ (log (/ 2 c)) (* -1 (log (/ -1 b_2))))) (+ (* -1/24 (/ (+ (* -12 (* c (+ (* -1/8 (* (pow a 2) c)) (* 1/4 (* (pow a 2) c))))) (* -3/4 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 1/4 (/ (* a c) (pow b_2 2))))) (taylor -inf b_2) (#s(alt (.f64 (log.f64 (/.f64 a #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64)) (patch (.f64 (log.f64 (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (+ (log (/ 2 c)) (* -1 (log (/ -1 b_2))))) (+ (* -1/24 (/ (+ (* -12 (* c (+ (* -1/8 (* (pow a 2) c)) (* 1/4 (* (pow a 2) c))))) (* -3/4 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (+ (* -1/720 (/ (+ (* -360 (* c (+ (* -1/4 (* a (* c (+ (* -1/8 (* (pow a 2) c)) (* 1/4 (* (pow a 2) c)))))) (+ (* -1/16 (* (pow a 3) (pow c 2))) (* 2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))))))) (+ (* -90 (* a (* (pow c 2) (+ (* -1/8 (* (pow a 2) c)) (* 1/4 (* (pow a 2) c)))))) (* -15/4 (* (pow a 3) (pow c 3))))) (pow b_2 6))) (* 1/4 (/ (* a c) (pow b_2 2)))))) (taylor -inf b_2) (#s(alt (.f64 (log.f64 (/.f64 a #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64)) (patch (.f64 (log.f64 (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ 2 c)) (* -1 (log (/ -1 b_2)))) (taylor -inf b_2) (#s(alt (log.f64 (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)))) (patch (log.f64 (/.f64 a #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ 2 c)) (+ (* -1 (log (/ -1 b_2))) (* -1/4 (/ (* a c) (pow b_2 2))))) (taylor -inf b_2) (#s(alt (log.f64 (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)))) (patch (log.f64 (/.f64 a #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ 2 c)) (+ (* -1 (log (/ -1 b_2))) (+ (* -1/4 (/ (* a c) (pow b_2 2))) (* 1/24 (/ (+ (* -12 (* c (+ (* -1/8 (* (pow a 2) c)) (* 1/4 (* (pow a 2) c))))) (* -3/4 (* (pow a 2) (pow c 2)))) (pow b_2 4)))))) (taylor -inf b_2) (#s(alt (log.f64 (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)))) (patch (log.f64 (/.f64 a #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #<representation binary64>) () ())) ())
#s(alt (+ (log (/ 2 c)) (+ (* -1 (log (/ -1 b_2))) (+ (* -1/4 (/ (* a c) (pow b_2 2))) (+ (* 1/720 (/ (+ (* -360 (* c (+ (* -1/4 (* a (* c (+ (* -1/8 (* (pow a 2) c)) (* 1/4 (* (pow a 2) c)))))) (+ (* -1/16 (* (pow a 3) (pow c 2))) (* 2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))))))) (+ (* -90 (* a (* (pow c 2) (+ (* -1/8 (* (pow a 2) c)) (* 1/4 (* (pow a 2) c)))))) (* -15/4 (* (pow a 3) (pow c 3))))) (pow b_2 6))) (* 1/24 (/ (+ (* -12 (* c (+ (* -1/8 (* (pow a 2) c)) (* 1/4 (* (pow a 2) c))))) (* -3/4 (* (pow a 2) (pow c 2)))) (pow b_2 4))))))) (taylor -inf b_2) (#s(alt (log.f64 (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)))) (patch (log.f64 (/.f64 a #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ b_2 c)) (taylor -inf b_2) (#s(alt (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (patch (/.f64 a #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))) (taylor -inf b_2) (#s(alt (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (patch (/.f64 a #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (- (+ (* -1 (/ (+ (* -1/8 (* (pow a 2) c)) (* 1/4 (* (pow a 2) c))) (pow b_2 4))) (* 2 (/ 1 c))) (* 1/2 (/ a (pow b_2 2)))))) (taylor -inf b_2) (#s(alt (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (patch (/.f64 a #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b_2 (- (+ (* -1 (/ (+ (* -1/4 (* a (* c (+ (* -1/8 (* (pow a 2) c)) (* 1/4 (* (pow a 2) c)))))) (+ (* -1/16 (* (pow a 3) (pow c 2))) (* 2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))))) (pow b_2 6))) (* 2 (/ 1 c))) (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 4))) (+ (* 1/4 (/ (* (pow a 2) c) (pow b_2 4))) (* 1/2 (/ a (pow b_2 2)))))))) (taylor -inf b_2) (#s(alt (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (patch (/.f64 a #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #<representation binary64>) () ())) ())
#s(alt (/ c b_2) (taylor -inf b_2) (#s(alt (/.f64 c b_2) (patch (/.f64 c b_2) #<representation binary64>) () ())) ())
#s(alt (/ c b_2) (taylor -inf b_2) (#s(alt (/.f64 c b_2) (patch (/.f64 c b_2) #<representation binary64>) () ())) ())
#s(alt (/ c b_2) (taylor -inf b_2) (#s(alt (/.f64 c b_2) (patch (/.f64 c b_2) #<representation binary64>) () ())) ())
#s(alt (/ c b_2) (taylor -inf b_2) (#s(alt (/.f64 c b_2) (patch (/.f64 c b_2) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow b_2 2)) (taylor -inf b_2) (#s(alt #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)) (patch #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1)) (taylor -inf b_2) (#s(alt #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)) (patch #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1)) (taylor -inf b_2) (#s(alt #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)) (patch #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)) #<representation binary64>) () ())) ())
#s(alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1)) (taylor -inf b_2) (#s(alt #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a)) (patch #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ (* a c) b_2)) (taylor -inf b_2) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2)) (taylor -inf b_2) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2)) (taylor -inf b_2) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)) (taylor -inf b_2) (#s(alt #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) (patch #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	b_2	@	-inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* b_2 (/ -2 a)) (* (/ c b_2) 1/2)) (/ -2 a) (* (/ c b_2) 1/2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ 1/2 b_2) c) (/ 1/2 b_2) (/ (* a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (* a a)) (* a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (+ (/ (+ (* c a) (* b_2 b_2)) (sqrt (neg (+ (* c a) (* b_2 b_2))))) (neg b_2)) (/ (+ (/ (+ (* c a) (* b_2 b_2)) (sqrt (neg (+ (* c a) (* b_2 b_2))))) (neg b_2)) a) (/ (+ (* c a) (* b_2 b_2)) (sqrt (neg (+ (* c a) (* b_2 b_2))))) (+ (* c a) (* b_2 b_2)) (exp (* (log (/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1)) (* (log (/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1) (log (/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ c b_2) (neg (+ (* c a) (* b_2 b_2))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))
13.0ms	b_2	@	inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* b_2 (/ -2 a)) (* (/ c b_2) 1/2)) (/ -2 a) (* (/ c b_2) 1/2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ 1/2 b_2) c) (/ 1/2 b_2) (/ (* a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (* a a)) (* a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (+ (/ (+ (* c a) (* b_2 b_2)) (sqrt (neg (+ (* c a) (* b_2 b_2))))) (neg b_2)) (/ (+ (/ (+ (* c a) (* b_2 b_2)) (sqrt (neg (+ (* c a) (* b_2 b_2))))) (neg b_2)) a) (/ (+ (* c a) (* b_2 b_2)) (sqrt (neg (+ (* c a) (* b_2 b_2))))) (+ (* c a) (* b_2 b_2)) (exp (* (log (/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1)) (* (log (/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1) (log (/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ c b_2) (neg (+ (* c a) (* b_2 b_2))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))
11.0ms	c	@	inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* b_2 (/ -2 a)) (* (/ c b_2) 1/2)) (/ -2 a) (* (/ c b_2) 1/2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ 1/2 b_2) c) (/ 1/2 b_2) (/ (* a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (* a a)) (* a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (+ (/ (+ (* c a) (* b_2 b_2)) (sqrt (neg (+ (* c a) (* b_2 b_2))))) (neg b_2)) (/ (+ (/ (+ (* c a) (* b_2 b_2)) (sqrt (neg (+ (* c a) (* b_2 b_2))))) (neg b_2)) a) (/ (+ (* c a) (* b_2 b_2)) (sqrt (neg (+ (* c a) (* b_2 b_2))))) (+ (* c a) (* b_2 b_2)) (exp (* (log (/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1)) (* (log (/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1) (log (/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ c b_2) (neg (+ (* c a) (* b_2 b_2))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))
8.0ms	a	@	-inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* b_2 (/ -2 a)) (* (/ c b_2) 1/2)) (/ -2 a) (* (/ c b_2) 1/2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ 1/2 b_2) c) (/ 1/2 b_2) (/ (* a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (* a a)) (* a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (+ (/ (+ (* c a) (* b_2 b_2)) (sqrt (neg (+ (* c a) (* b_2 b_2))))) (neg b_2)) (/ (+ (/ (+ (* c a) (* b_2 b_2)) (sqrt (neg (+ (* c a) (* b_2 b_2))))) (neg b_2)) a) (/ (+ (* c a) (* b_2 b_2)) (sqrt (neg (+ (* c a) (* b_2 b_2))))) (+ (* c a) (* b_2 b_2)) (exp (* (log (/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1)) (* (log (/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1) (log (/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ c b_2) (neg (+ (* c a) (* b_2 b_2))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))
7.0ms	a	@	inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* b_2 (/ -2 a)) (* (/ c b_2) 1/2)) (/ -2 a) (* (/ c b_2) 1/2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ 1/2 b_2) c) (/ 1/2 b_2) (/ (* a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (* a a)) (* a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (+ (/ (+ (* c a) (* b_2 b_2)) (sqrt (neg (+ (* c a) (* b_2 b_2))))) (neg b_2)) (/ (+ (/ (+ (* c a) (* b_2 b_2)) (sqrt (neg (+ (* c a) (* b_2 b_2))))) (neg b_2)) a) (/ (+ (* c a) (* b_2 b_2)) (sqrt (neg (+ (* c a) (* b_2 b_2))))) (+ (* c a) (* b_2 b_2)) (exp (* (log (/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1)) (* (log (/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1) (log (/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ c b_2) (neg (+ (* c a) (* b_2 b_2))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))

simplify253.0ms (3.3%)

Memory

19.1MiB live, 211.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 580×	`lower-*.f64`
7 580×	`lower-*.f32`
6 916×	`lower-fma.f64`
6 916×	`lower-fma.f32`
4 198×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1981	17746
1	6615	17138
0	8286	16528

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 744

Calls

Call 1

Inputs
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ -2 a)
(/ -2 a)
(/ -2 a)
(/ -2 a)
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (- b_2 (* b_2 (sqrt -1))) a)
(/ (- (+ b_2 (* -1/2 (/ (* a (* c (sqrt -1))) b_2))) (* b_2 (sqrt -1))) a)
(/ (- (+ b_2 (* a (+ (* -1/2 (/ (* c (sqrt -1)) b_2)) (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3)))))) (* b_2 (sqrt -1))) a)
(/ (- (+ b_2 (* a (+ (* -1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))) (* 1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3)))))))) (* b_2 (sqrt -1))) a)
(* a (- b_2 (* b_2 (sqrt -1))))
(* a (- (+ b_2 (* -1/2 (/ (* a (* c (sqrt -1))) b_2))) (* b_2 (sqrt -1))))
(* a (- (+ b_2 (* a (+ (* -1/2 (/ (* c (sqrt -1)) b_2)) (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3)))))) (* b_2 (sqrt -1))))
(* a (- (+ b_2 (* a (+ (* -1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))) (* 1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3)))))))) (* b_2 (sqrt -1))))
(- b_2 (* b_2 (sqrt -1)))
(- (+ b_2 (* -1/2 (/ (* a (* c (sqrt -1))) b_2))) (* b_2 (sqrt -1)))
(- (+ b_2 (* a (- (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2))))) (* b_2 (sqrt -1)))
(- (+ b_2 (* a (- (* a (- (* -1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))) (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))))) (* 1/2 (/ (* c (sqrt -1)) b_2))))) (* b_2 (sqrt -1)))
(* b_2 (sqrt -1))
(+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1)))
(+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1)))
(+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1)))
(- (/ b_2 (sqrt -1)) b_2)
(- (+ (* 1/2 (/ (* a c) (* b_2 (sqrt -1)))) (/ b_2 (sqrt -1))) b_2)
(- (+ (* a (+ (* -1/8 (/ (* a (pow c 2)) (* (pow b_2 3) (sqrt -1)))) (* 1/2 (/ c (* b_2 (sqrt -1)))))) (/ b_2 (sqrt -1))) b_2)
(- (+ (* a (+ (* 1/2 (/ c (* b_2 (sqrt -1)))) (* a (+ (* -1/8 (/ (pow c 2) (* (pow b_2 3) (sqrt -1)))) (* 1/16 (/ (* a (pow c 3)) (* (pow b_2 5) (sqrt -1)))))))) (/ b_2 (sqrt -1))) b_2)
(/ (- (/ b_2 (sqrt -1)) b_2) a)
(/ (- (+ (* 1/2 (/ (* a c) (* b_2 (sqrt -1)))) (/ b_2 (sqrt -1))) b_2) a)
(/ (- (+ (* a (+ (* -1/8 (/ (* a (pow c 2)) (* (pow b_2 3) (sqrt -1)))) (* 1/2 (/ c (* b_2 (sqrt -1)))))) (/ b_2 (sqrt -1))) b_2) a)
(/ (- (+ (* a (+ (* 1/2 (/ c (* b_2 (sqrt -1)))) (* a (+ (* -1/8 (/ (pow c 2) (* (pow b_2 3) (sqrt -1)))) (* 1/16 (/ (* a (pow c 3)) (* (pow b_2 5) (sqrt -1)))))))) (/ b_2 (sqrt -1))) b_2) a)
(/ b_2 (sqrt -1))
(+ (* 1/2 (/ (* a c) (* b_2 (sqrt -1)))) (/ b_2 (sqrt -1)))
(+ (* a (+ (* -1/8 (/ (* a (pow c 2)) (* (pow b_2 3) (sqrt -1)))) (* 1/2 (/ c (* b_2 (sqrt -1)))))) (/ b_2 (sqrt -1)))
(+ (* a (+ (* 1/2 (/ c (* b_2 (sqrt -1)))) (* a (+ (* -1/8 (/ (pow c 2) (* (pow b_2 3) (sqrt -1)))) (* 1/16 (/ (* a (pow c 3)) (* (pow b_2 5) (sqrt -1)))))))) (/ b_2 (sqrt -1)))
(pow b_2 2)
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(* -1 (+ (log a) (log (/ -1/2 b_2))))
(+ (* -1 (+ (log a) (log (/ -1/2 b_2)))) (* -1/4 (/ (* a c) (pow b_2 2))))
(+ (* -1 (+ (log a) (log (/ -1/2 b_2)))) (* a (+ (* -1/2 (* a (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (* 1/4 (/ (pow c 2) (pow b_2 4)))))) (* -1/4 (/ c (pow b_2 2))))))
(+ (* -1 (+ (log a) (log (/ -1/2 b_2)))) (* a (+ (* -1/4 (/ c (pow b_2 2))) (* a (+ (* -1/2 (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (* 1/4 (/ (pow c 2) (pow b_2 4))))) (* -1/6 (* a (+ (* -12 (* b_2 (+ (* -1/32 (/ (pow c 3) (pow b_2 7))) (* -1/128 (/ (pow c 3) (pow b_2 7)))))) (+ (* -3/16 (/ (pow c 3) (pow b_2 6))) (* 1/32 (/ (pow c 3) (pow b_2 6))))))))))))
(+ (log a) (log (/ -1/2 b_2)))
(+ (log a) (+ (log (/ -1/2 b_2)) (* 1/4 (/ (* a c) (pow b_2 2)))))
(+ (log a) (+ (log (/ -1/2 b_2)) (* a (+ (* 1/4 (/ c (pow b_2 2))) (* 1/2 (* a (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (* 1/4 (/ (pow c 2) (pow b_2 4))))))))))
(+ (log a) (+ (log (/ -1/2 b_2)) (* a (+ (* 1/4 (/ c (pow b_2 2))) (* a (+ (* 1/6 (* a (+ (* -12 (* b_2 (+ (* -1/32 (/ (pow c 3) (pow b_2 7))) (* -1/128 (/ (pow c 3) (pow b_2 7)))))) (+ (* -3/16 (/ (pow c 3) (pow b_2 6))) (* 1/32 (/ (pow c 3) (pow b_2 6))))))) (* 1/2 (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (* 1/4 (/ (pow c 2) (pow b_2 4)))))))))))
(* -1/2 (/ a b_2))
(* a (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* a (- (* a (+ (* -1/8 (/ c (pow b_2 3))) (* -1/16 (/ (* a (pow c 2)) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* a (- (* a (+ (* -1/8 (/ c (pow b_2 3))) (* a (+ (* -1/16 (/ (pow c 2) (pow b_2 5))) (* a (+ (* -1/32 (/ (pow c 3) (pow b_2 7))) (* -1/128 (/ (pow c 3) (pow b_2 7))))))))) (* 1/2 (/ 1 b_2))))
(* -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))
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* 1/2 (/ c b_2))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(/ -2 a)
(/ -2 a)
(/ -2 a)
(/ -2 a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* 1/2 (/ c b_2))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(* -1 (* (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) (sqrt -1)))) (/ b_2 a))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (/ b_2 a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (/ b_2 a)))))
(* -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) (sqrt -1)))) (/ 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))
(* 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) (sqrt -1)))) (+ (* 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) (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)) (/ 1 (sqrt -1)))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (/ 1 (sqrt -1)))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (/ b_2 a)))
(* 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)) (/ 1 (sqrt -1))))) (/ b_2 a)))
(* (sqrt (/ c a)) (/ 1 (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (/ 1 (sqrt -1)))))
(+ (* -1 (/ b_2 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)) (/ 1 (sqrt -1))))))
(* (sqrt (* a c)) (/ 1 (sqrt -1)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (/ 1 (sqrt -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)) (/ 1 (sqrt -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)) (/ 1 (sqrt -1)))))))
(* a c)
(* a (+ c (/ (pow b_2 2) a)))
(* a (+ c (/ (pow b_2 2) a)))
(* a (+ c (/ (pow b_2 2) a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* -1 (log (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1))))))
(+ (* -1 (log (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))))) (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1))))
(+ (* -1 (log (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))))) (+ (* -1/2 (/ (+ (* -1 (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))) (pow a 2))) (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))))
(+ (* -1 (log (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))))) (+ (* -1/2 (/ (+ (* -1 (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))) (pow a 2))) (+ (* -1/6 (/ (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (+ (* 6 (* b_2 (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (* 6 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (sqrt -1)))) (* 1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4)))))))))) (pow a 3))) (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1))))))
(log (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))))
(+ (log (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))))
(+ (log (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1))))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) (* 1/2 (/ (+ (* -1 (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))) (pow a 2)))))
(+ (log (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1))))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) (+ (* 1/6 (/ (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (+ (* 6 (* b_2 (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (* 6 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (sqrt -1)))) (* 1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4)))))))))) (pow a 3))) (* 1/2 (/ (+ (* -1 (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2)))) (* 2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))) (pow a 2))))))
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (/ b_2 (* c (pow (sqrt -1) 2))))
(- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (pow a 2)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))))
(- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (sqrt -1)))) (* 1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4))))) (pow a 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)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))
(* -1 (* a c))
(* a (- (* -1 (/ (pow b_2 2) a)) c))
(* a (- (* -1 (/ (pow b_2 2) a)) c))
(* a (- (* -1 (/ (pow b_2 2) a)) c))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* 1/2 (/ c b_2))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(/ -2 a)
(/ -2 a)
(/ -2 a)
(/ -2 a)
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* 1/2 (/ c b_2))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(* (sqrt (/ c a)) (pow (sqrt -1) 3))
(+ (* (sqrt (/ c a)) (pow (sqrt -1) 3)) (/ b_2 a))
(+ (* -1 (/ (+ (* -1 b_2) (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))
(+ (* -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)) (pow (sqrt -1) 3)))
(* (sqrt (* (pow a 3) c)) (pow (sqrt -1) 3))
(* (pow a 2) (+ (* (sqrt (/ c a)) (pow (sqrt -1) 3)) (/ b_2 a)))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 b_2) (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 b_2) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3))))
(* (sqrt (* a c)) (pow (sqrt -1) 3))
(* -1 (* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -1 (* a (- (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -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)) (pow (sqrt -1) 3)))))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))
(* -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)) (pow (sqrt -1) 3))))))
(* -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) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))))
(* -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) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 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) (pow (sqrt -1) 3))))) a))) a)))
(* -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) (pow (sqrt -1) 3)))) (+ (* 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) (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)))))))
(* a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (log (* (sqrt (/ a c)) (sqrt -1))))
(+ (* -1 (log (* (sqrt (/ a c)) (sqrt -1)))) (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1)))))
(+ (* -1 (log (* (sqrt (/ a c)) (sqrt -1)))) (* -1 (/ (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ c a)) (* (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 (pow b_2 2)) c)) a)) (* (sqrt (/ a c)) (* b_2 (sqrt -1)))) a)))
(+ (* -1 (log (* (sqrt (/ a c)) (sqrt -1)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -2 (* (sqrt (/ c a)) (* (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 (pow b_2 2)) c))) (* 1/6 (/ (+ (* -6 (* b_2 (+ (* -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))))))) (+ (* -6 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (* (sqrt (/ 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))))))))) (* -1/2 (/ (* (pow a 2) (pow b_2 3)) (pow c 2))))))) (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 3) (sqrt -1)))))) a))) a)) (* (sqrt (/ a c)) (* b_2 (sqrt -1)))) a)))
(log (* (sqrt (/ a c)) (sqrt -1)))
(+ (log (* (sqrt (/ a c)) (sqrt -1))) (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1))))
(+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (* b_2 (sqrt -1)))) (* -1/2 (/ (+ (* -2 (* (sqrt (/ c a)) (* (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 (pow b_2 2)) c)) a))) a)))
(+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (* b_2 (sqrt -1)))) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (* b_2 (+ (* -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))))))) (+ (* -6 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (* (sqrt (/ 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))))))))) (* -1/2 (/ (* (pow a 2) (pow b_2 3)) (pow c 2))))))) (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 3) (sqrt -1)))))) a)) (* 1/2 (+ (* -2 (* (sqrt (/ c a)) (* (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 (pow b_2 2)) c)))) a))) a)))
(* (sqrt (/ a c)) (sqrt -1))
(+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -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))))) (* -1 (/ (* a b_2) c))) a)) (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (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))))))))) (* -1/2 (/ (* a (pow b_2 3)) (pow c 2)))) (+ (* -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)) (* -1 (/ (* a b_2) c))) a)) (* (sqrt (/ a c)) (sqrt -1)))
(* -1 (* a c))
(* -1 (* a (- (/ (pow b_2 2) a) (* -1 c))))
(* -1 (* a (- (/ (pow b_2 2) a) (* -1 c))))
(* -1 (* a (- (/ (pow b_2 2) a) (* -1 c))))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -2 (/ b_2 a))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(* -2 (/ b_2 a))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* -2 (/ b_2 a))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(* -2 (/ b_2 a))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(/ (- b_2 (* b_2 (sqrt -1))) a)
(- (+ (* -1/2 (/ (* c (sqrt -1)) b_2)) (/ b_2 a)) (/ (* b_2 (sqrt -1)) a))
(- (+ (* c (+ (* -1/2 (/ (sqrt -1) b_2)) (* 1/8 (/ (* a (* c (sqrt -1))) (pow b_2 3))))) (/ b_2 a)) (/ (* b_2 (sqrt -1)) a))
(- (+ (* c (+ (* -1/2 (/ (sqrt -1) b_2)) (* c (+ (* -1/16 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 5))) (* 1/8 (/ (* a (sqrt -1)) (pow b_2 3))))))) (/ b_2 a)) (/ (* b_2 (sqrt -1)) a))
(* a (- b_2 (* b_2 (sqrt -1))))
(+ (* -1/2 (/ (* (pow a 2) (* c (sqrt -1))) b_2)) (* a (- b_2 (* b_2 (sqrt -1)))))
(+ (* a (- b_2 (* b_2 (sqrt -1)))) (* c (+ (* -1/2 (/ (* (pow a 2) (sqrt -1)) b_2)) (* 1/8 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 3))))))
(+ (* a (- b_2 (* b_2 (sqrt -1)))) (* c (+ (* -1/2 (/ (* (pow a 2) (sqrt -1)) b_2)) (* c (+ (* -1/16 (/ (* (pow a 4) (* c (sqrt -1))) (pow b_2 5))) (* 1/8 (/ (* (pow a 3) (sqrt -1)) (pow b_2 3))))))))
(- b_2 (* b_2 (sqrt -1)))
(- (+ b_2 (* -1/2 (/ (* a (* c (sqrt -1))) b_2))) (* b_2 (sqrt -1)))
(- (+ b_2 (* c (- (* 1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2))))) (* b_2 (sqrt -1)))
(- (+ b_2 (* c (- (* c (- (* -1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5))) (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))))) (* 1/2 (/ (* a (sqrt -1)) b_2))))) (* b_2 (sqrt -1)))
(* b_2 (sqrt -1))
(+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1)))
(+ (* b_2 (sqrt -1)) (* c (+ (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2)))))
(+ (* b_2 (sqrt -1)) (* c (+ (* 1/2 (/ (* a (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5))))))))
(- (/ b_2 (sqrt -1)) b_2)
(- (+ (* 1/2 (/ (* a c) (* b_2 (sqrt -1)))) (/ b_2 (sqrt -1))) b_2)
(- (+ (* c (+ (* -1/8 (/ (* (pow a 2) c) (* (pow b_2 3) (sqrt -1)))) (* 1/2 (/ a (* b_2 (sqrt -1)))))) (/ b_2 (sqrt -1))) b_2)
(- (+ (* c (+ (* 1/2 (/ a (* b_2 (sqrt -1)))) (* c (+ (* -1/8 (/ (pow a 2) (* (pow b_2 3) (sqrt -1)))) (* 1/16 (/ (* (pow a 3) c) (* (pow b_2 5) (sqrt -1)))))))) (/ b_2 (sqrt -1))) b_2)
(/ (- (/ b_2 (sqrt -1)) b_2) a)
(- (+ (* 1/2 (/ c (* b_2 (sqrt -1)))) (/ b_2 (* a (sqrt -1)))) (/ b_2 a))
(- (+ (* c (+ (* -1/8 (/ (* a c) (* (pow b_2 3) (sqrt -1)))) (* 1/2 (/ 1 (* b_2 (sqrt -1)))))) (/ b_2 (* a (sqrt -1)))) (/ b_2 a))
(- (+ (* c (+ (* c (+ (* -1/8 (/ a (* (pow b_2 3) (sqrt -1)))) (* 1/16 (/ (* (pow a 2) c) (* (pow b_2 5) (sqrt -1)))))) (* 1/2 (/ 1 (* b_2 (sqrt -1)))))) (/ b_2 (* a (sqrt -1)))) (/ b_2 a))
(/ b_2 (sqrt -1))
(+ (* 1/2 (/ (* a c) (* b_2 (sqrt -1)))) (/ b_2 (sqrt -1)))
(+ (* c (+ (* -1/8 (/ (* (pow a 2) c) (* (pow b_2 3) (sqrt -1)))) (* 1/2 (/ a (* b_2 (sqrt -1)))))) (/ b_2 (sqrt -1)))
(+ (* c (+ (* 1/2 (/ a (* b_2 (sqrt -1)))) (* c (+ (* -1/8 (/ (pow a 2) (* (pow b_2 3) (sqrt -1)))) (* 1/16 (/ (* (pow a 3) c) (* (pow b_2 5) (sqrt -1)))))))) (/ b_2 (sqrt -1)))
(pow b_2 2)
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(* -2 (/ b_2 a))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))
(* -1 (log (* -1/2 (/ a b_2))))
(+ (* -1 (log (* -1/2 (/ a b_2)))) (* -1/4 (/ (* a c) (pow b_2 2))))
(+ (* -1 (log (* -1/2 (/ a b_2)))) (* c (+ (* -1/2 (* c (+ (* -1/16 (/ (pow a 2) (pow b_2 4))) (* 1/4 (/ (pow a 2) (pow b_2 4)))))) (* -1/4 (/ a (pow b_2 2))))))
(+ (* -1 (log (* -1/2 (/ a b_2)))) (* c (+ (* -1/4 (/ a (pow b_2 2))) (* c (+ (* -1/2 (+ (* -1/16 (/ (pow a 2) (pow b_2 4))) (* 1/4 (/ (pow a 2) (pow b_2 4))))) (* -1/6 (* c (+ (* -12 (/ (* b_2 (+ (* -1/32 (/ (pow a 4) (pow b_2 7))) (* -1/128 (/ (pow a 4) (pow b_2 7))))) a)) (+ (* -3/16 (/ (pow a 3) (pow b_2 6))) (* 1/32 (/ (pow a 3) (pow b_2 6))))))))))))
(log (* -1/2 (/ a b_2)))
(+ (log (* -1/2 (/ a b_2))) (* 1/4 (/ (* a c) (pow b_2 2))))
(+ (log (* -1/2 (/ a b_2))) (* c (+ (* 1/4 (/ a (pow b_2 2))) (* 1/2 (* c (+ (* -1/16 (/ (pow a 2) (pow b_2 4))) (* 1/4 (/ (pow a 2) (pow b_2 4)))))))))
(+ (log (* -1/2 (/ a b_2))) (* c (+ (* 1/4 (/ a (pow b_2 2))) (* c (+ (* 1/6 (* c (+ (* -12 (/ (* b_2 (+ (* -1/32 (/ (pow a 4) (pow b_2 7))) (* -1/128 (/ (pow a 4) (pow b_2 7))))) a)) (+ (* -3/16 (/ (pow a 3) (pow b_2 6))) (* 1/32 (/ (pow a 3) (pow b_2 6))))))) (* 1/2 (+ (* -1/16 (/ (pow a 2) (pow b_2 4))) (* 1/4 (/ (pow a 2) (pow b_2 4))))))))))
(* -1/2 (/ a b_2))
(+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))
(+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))
(+ (* -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))) (* c (+ (* -1/32 (/ (pow a 4) (pow b_2 7))) (* -1/128 (/ (pow a 4) (pow b_2 7))))))))))
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(* -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))
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* 1/2 (/ c b_2))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* 1/2 (/ c b_2))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c 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) (sqrt -1)))) (/ b_2 (* a c))))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c)))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (/ (* a b_2) c))))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (/ (* a b_2) c)))))
(* -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) (sqrt -1)))) (/ 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))
(* 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) (sqrt -1)))) (+ (* 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) (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)) (/ 1 (sqrt -1)))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (/ b_2 c)))
(* 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)) (/ 1 (sqrt -1))))) (/ b_2 c)))
(* (sqrt (/ c a)) (/ 1 (sqrt -1)))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (/ 1 (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))) (/ 1 (sqrt -1))))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(* (sqrt (* a c)) (/ 1 (sqrt -1)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (/ 1 (sqrt -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)) (/ 1 (sqrt -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)) (/ 1 (sqrt -1)))))))
(* a c)
(* c (+ a (/ (pow b_2 2) c)))
(* c (+ a (/ (pow b_2 2) c)))
(* c (+ a (/ (pow b_2 2) c)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))
(* -1 (+ (log (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1))))) (log (/ 1 c))))
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(/ (+ (* -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))))) c)
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(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(* -1 (* a c))
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(* c (- (* -1 (/ (pow b_2 2) c)) a))
(* c (- (* -1 (/ (pow b_2 2) c)) a))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
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(* (sqrt (/ c a)) (sqrt -1))
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(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
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(* 1/2 (/ c b_2))
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(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* (sqrt (/ c a)) (sqrt -1))
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(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))
(* 1/2 (/ c b_2))
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(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* (sqrt (/ c a)) (pow (sqrt -1) 3))
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(* (sqrt (* (pow a 3) c)) (pow (sqrt -1) 3))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (pow (sqrt -1) 3))) (* -1 (/ (* a b_2) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (pow (sqrt -1) 3))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* a b_2)) c)))))
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(* (sqrt (* a c)) (pow (sqrt -1) 3))
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(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))
(* -1 (* c (+ (* -1/8 (* (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)) (pow (sqrt -1) 3))))))
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(* -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) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* 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) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* 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) (pow (sqrt -1) 3)))) (+ (* 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) (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)))))))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(* -1 (+ (log (* -1 (* (sqrt (* a c)) (sqrt -1)))) (log (/ -1 c))))
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(+ (log (* -1 (* (sqrt (* a c)) (sqrt -1)))) (log (/ -1 c)))
(+ (log (* -1 (* (sqrt (* a c)) (sqrt -1)))) (+ (log (/ -1 c)) (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1)))))
(+ (log (* -1 (* (sqrt (* a c)) (sqrt -1)))) (+ (log (/ -1 c)) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (* b_2 (sqrt -1)))) (* -1/2 (/ (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))))) (/ (* (pow b_2 2) c) a)) c))) c))))
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(* (sqrt (/ a c)) (sqrt -1))
(* -1 (/ (+ b_2 (* -1 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* b_2 c)) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))) c))) c))) c))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* b_2 c)) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))))))) (* -1/2 (/ (* (pow b_2 3) (pow c 2)) a))) c)) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))) c))) c))) c))
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(* -1 (* a c))
(* -1 (* c (- (/ (pow b_2 2) c) (* -1 a))))
(* -1 (* c (- (/ (pow b_2 2) c) (* -1 a))))
(* -1 (* c (- (/ (pow b_2 2) c) (* -1 a))))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
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(* 1/2 (/ c b_2))
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(* 1/2 (/ c b_2))
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2)
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(/ 1/2 b_2)
(/ 1/2 b_2)
(/ 1/2 b_2)
(/ 1/2 b_2)
(* -1 (* (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))) (sqrt -1))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))))) (/ 1 a))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) (* a b_2))
(+ (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) (* b_2 (+ a (* -1/2 (* (sqrt (/ a c)) (* b_2 (sqrt -1)))))))
(+ (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) (* b_2 (+ a (* b_2 (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))))))))
(* -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) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) (* (sqrt (* a c)) (sqrt -1)))
(* (sqrt (* a c)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (sqrt -1))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 2) (sqrt -1)))))))))
(* (sqrt (* a c)) (/ 1 (sqrt -1)))
(+ (* -1 b_2) (* (sqrt (* a c)) (/ 1 (sqrt -1))))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (/ 1 (sqrt -1))))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (/ 1 (sqrt -1))))
(* (sqrt (/ c a)) (/ 1 (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(* (sqrt (* a c)) (/ 1 (sqrt -1)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (/ 1 (sqrt -1))))
(+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (/ 1 (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 (sqrt -1)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (sqrt -1)))))))))
(* a c)
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))
(* -1 (log (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1))))))
(+ (* -1 (log (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))))) (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1))))
(+ (* -1 (log (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))))) (* b_2 (+ (* -1/2 (* b_2 (- (* -2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))))) (/ 1 (* a (* c (pow (sqrt -1) 2))))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))))
(+ (* -1 (log (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))))) (* b_2 (+ (* b_2 (+ (* -1/2 (- (* -2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))))) (/ 1 (* a (* c (pow (sqrt -1) 2)))))) (* -1/6 (* b_2 (+ (* -6 (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))) a)) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 6 (* (sqrt (/ c a)) (* (sqrt -1) (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -1) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))))))))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))))
(log (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))))
(+ (log (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))))
(+ (log (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1))))) (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* 1/2 (* b_2 (- (* -2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))))) (/ 1 (* a (* c (pow (sqrt -1) 2))))))))))
(+ (log (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1))))) (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* b_2 (+ (* 1/6 (* b_2 (+ (* -6 (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))) a)) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 6 (* (sqrt (/ c a)) (* (sqrt -1) (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -1) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))))))))) (* 1/2 (- (* -2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))))) (/ 1 (* a (* c (pow (sqrt -1) 2)))))))))))
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (/ b_2 (* c (pow (sqrt -1) 2))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* b_2 (+ (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (* c (pow (sqrt -1) 2))))))
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* b_2 (+ (* b_2 (+ (* -1 (* b_2 (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -1) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1))))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))))
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(* -1 (* a c))
(- (* -1 (pow b_2 2)) (* a c))
(- (* -1 (pow b_2 2)) (* a c))
(- (* -1 (pow b_2 2)) (* a c))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(- (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(- (* b_2 (- (* b_2 (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(* -2 (/ b_2 a))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(* -2 (/ b_2 a))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* -2 (/ b_2 a))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(* -2 (/ b_2 a))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(/ 1/2 b_2)
(/ 1/2 b_2)
(/ 1/2 b_2)
(/ 1/2 b_2)
(/ (* b_2 (- 1 (sqrt -1))) a)
(* b_2 (- (+ (* -1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ 1 a)) (/ (sqrt -1) a)))
(* b_2 (- (+ (* -1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (/ 1 a))) (/ (sqrt -1) a)))
(* b_2 (- (+ (* -1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (* -1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (/ 1 a)))) (/ (sqrt -1) a)))
(* a (* b_2 (- 1 (sqrt -1))))
(* b_2 (+ (* -1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* a (- 1 (sqrt -1)))))
(* b_2 (+ (* -1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (+ (* 1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* a (- 1 (sqrt -1))))))
(* b_2 (+ (* -1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (+ (* -1/16 (/ (* (pow a 4) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* a (- 1 (sqrt -1)))))))
(* b_2 (- 1 (sqrt -1)))
(* b_2 (- (+ 1 (* -1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))) (sqrt -1)))
(* b_2 (- (+ 1 (* 1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4)))) (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* b_2 (- (+ 1 (* -1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6)))) (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* b_2 (sqrt -1))
(* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* b_2 (- (/ 1 (sqrt -1)) 1))
(* b_2 (- (+ (* 1/2 (/ (* a c) (* (pow b_2 2) (sqrt -1)))) (/ 1 (sqrt -1))) 1))
(* b_2 (- (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (/ (* a c) (* (pow b_2 2) (sqrt -1)))) (/ 1 (sqrt -1)))) 1))
(* b_2 (- (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (/ (* a c) (* (pow b_2 2) (sqrt -1)))) (/ 1 (sqrt -1))))) 1))
(/ (* b_2 (- (/ 1 (sqrt -1)) 1)) a)
(* b_2 (- (+ (* 1/2 (/ c (* (pow b_2 2) (sqrt -1)))) (/ 1 (* a (sqrt -1)))) (/ 1 a)))
(* b_2 (- (+ (* -1/8 (/ (* a (pow c 2)) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (/ c (* (pow b_2 2) (sqrt -1)))) (/ 1 (* a (sqrt -1))))) (/ 1 a)))
(* b_2 (- (+ (* -1/8 (/ (* a (pow c 2)) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (/ c (* (pow b_2 2) (sqrt -1)))) (/ 1 (* a (sqrt -1)))))) (/ 1 a)))
(/ b_2 (sqrt -1))
(* b_2 (+ (* 1/2 (/ (* a c) (* (pow b_2 2) (sqrt -1)))) (/ 1 (sqrt -1))))
(* b_2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (/ (* a c) (* (pow b_2 2) (sqrt -1)))) (/ 1 (sqrt -1)))))
(* b_2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (/ (* a c) (* (pow b_2 2) (sqrt -1)))) (/ 1 (sqrt -1))))))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* -2 (/ b_2 a))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(* -1 (+ (log (* -1/2 a)) (log (/ 1 b_2))))
(+ (* -1 (+ (log (* -1/2 a)) (log (/ 1 b_2)))) (* -1/4 (/ (* a c) (pow b_2 2))))
(+ (* -1 (+ (log (* -1/2 a)) (log (/ 1 b_2)))) (+ (* -1/4 (/ (* a c) (pow b_2 2))) (* -1/24 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3 (* (pow a 2) (pow c 2)))) (pow b_2 4)))))
(+ (* -1 (+ (log (* -1/2 a)) (log (/ 1 b_2)))) (+ (* -1/4 (/ (* a c) (pow b_2 2))) (+ (* -1/24 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* -1/720 (/ (+ (* -1440 (/ (+ (* -1/32 (* (pow a 4) (pow c 3))) (* -1/128 (* (pow a 4) (pow c 3)))) a)) (+ (* -45/2 (* (pow a 3) (pow c 3))) (* 15/4 (* (pow a 3) (pow c 3))))) (pow b_2 6))))))
(+ (log (* -1/2 a)) (log (/ 1 b_2)))
(+ (log (* -1/2 a)) (+ (log (/ 1 b_2)) (* 1/4 (/ (* a c) (pow b_2 2)))))
(+ (log (* -1/2 a)) (+ (log (/ 1 b_2)) (+ (* 1/24 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 1/4 (/ (* a c) (pow b_2 2))))))
(+ (log (* -1/2 a)) (+ (log (/ 1 b_2)) (+ (* 1/720 (/ (+ (* -1440 (/ (+ (* -1/32 (* (pow a 4) (pow c 3))) (* -1/128 (* (pow a 4) (pow c 3)))) a)) (+ (* -45/2 (* (pow a 3) (pow c 3))) (* 15/4 (* (pow a 3) (pow c 3))))) (pow b_2 6))) (+ (* 1/24 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 1/4 (/ (* a c) (pow b_2 2)))))))
(* -1/2 (/ a b_2))
(/ (+ (* -1/2 a) (* -1/8 (/ (* (pow a 2) c) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 a) (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 a) (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 2))) (+ (* -1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (+ (* -1/32 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))) (* -1/128 (/ (* (pow a 4) (pow c 3)) (pow b_2 6))))))) b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(* -1 (pow b_2 2))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(* -2 b_2)
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1/2 (/ c b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2))
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* 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 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2))
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(/ 1/2 b_2)
(/ 1/2 b_2)
(/ 1/2 b_2)
(/ 1/2 b_2)
(/ (* b_2 (+ 1 (sqrt -1))) a)
(* -1 (* b_2 (+ (* -1 (/ (+ 1 (sqrt -1)) a)) (* -1/2 (/ (* c (sqrt -1)) (pow b_2 2))))))
(* -1 (* b_2 (+ (* -1 (/ (+ 1 (sqrt -1)) a)) (+ (* -1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4)))))))
(* -1 (* b_2 (+ (* -1 (/ (+ 1 (sqrt -1)) a)) (+ (* -1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (* -1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))))))))
(* a (* b_2 (+ 1 (sqrt -1))))
(* -1 (* b_2 (+ (* -1 (* a (+ 1 (sqrt -1)))) (* -1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))))))
(* -1 (* b_2 (+ (* -1 (* a (+ 1 (sqrt -1)))) (+ (* -1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (* 1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow b_2 4)))))))
(* -1 (* b_2 (+ (* -1 (* a (+ 1 (sqrt -1)))) (+ (* -1/2 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 2))) (+ (* -1/16 (/ (* (pow a 4) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/8 (/ (* (pow a 3) (* (pow c 2) (sqrt -1))) (pow b_2 4))))))))
(* b_2 (+ 1 (sqrt -1)))
(* -1 (* b_2 (- (* -1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))) (+ 1 (sqrt -1)))))
(* -1 (* b_2 (- (* 1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ 1 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))
(* -1 (* b_2 (- (* -1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ 1 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))))
(* -1 (* b_2 (sqrt -1)))
(* -1 (* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))
(* -1 (* b_2 (+ 1 (/ 1 (sqrt -1)))))
(* -1 (* b_2 (+ 1 (+ (* 1/2 (/ (* a c) (* (pow b_2 2) (sqrt -1)))) (/ 1 (sqrt -1))))))
(* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (/ (* a c) (* (pow b_2 2) (sqrt -1)))) (/ 1 (sqrt -1)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (/ (* a c) (* (pow b_2 2) (sqrt -1)))) (/ 1 (sqrt -1))))))))
(* -1 (/ (* b_2 (+ 1 (/ 1 (sqrt -1)))) a))
(* -1 (* b_2 (+ (* 1/2 (/ c (* (pow b_2 2) (sqrt -1)))) (+ (/ 1 a) (/ 1 (* a (sqrt -1)))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (/ c (* (pow b_2 2) (sqrt -1)))) (+ (/ 1 a) (/ 1 (* a (sqrt -1))))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (/ c (* (pow b_2 2) (sqrt -1)))) (+ (/ 1 a) (/ 1 (* a (sqrt -1)))))))))
(* -1 (/ b_2 (sqrt -1)))
(* -1 (* b_2 (+ (* 1/2 (/ (* a c) (* (pow b_2 2) (sqrt -1)))) (/ 1 (sqrt -1)))))
(* -1 (* b_2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (/ (* a c) (* (pow b_2 2) (sqrt -1)))) (/ 1 (sqrt -1))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (/ (* a c) (* (pow b_2 2) (sqrt -1)))) (/ 1 (sqrt -1)))))))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (+ 1 (/ (* a c) (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 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2))
(* -1 (+ (log (/ 2 c)) (* -1 (log (/ -1 b_2)))))
(+ (* -1 (+ (log (/ 2 c)) (* -1 (log (/ -1 b_2))))) (* 1/4 (/ (* a c) (pow b_2 2))))
(+ (* -1 (+ (log (/ 2 c)) (* -1 (log (/ -1 b_2))))) (+ (* -1/24 (/ (+ (* -12 (* c (+ (* -1/8 (* (pow a 2) c)) (* 1/4 (* (pow a 2) c))))) (* -3/4 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 1/4 (/ (* a c) (pow b_2 2)))))
(+ (* -1 (+ (log (/ 2 c)) (* -1 (log (/ -1 b_2))))) (+ (* -1/24 (/ (+ (* -12 (* c (+ (* -1/8 (* (pow a 2) c)) (* 1/4 (* (pow a 2) c))))) (* -3/4 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (+ (* -1/720 (/ (+ (* -360 (* c (+ (* -1/4 (* a (* c (+ (* -1/8 (* (pow a 2) c)) (* 1/4 (* (pow a 2) c)))))) (+ (* -1/16 (* (pow a 3) (pow c 2))) (* 2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))))))) (+ (* -90 (* a (* (pow c 2) (+ (* -1/8 (* (pow a 2) c)) (* 1/4 (* (pow a 2) c)))))) (* -15/4 (* (pow a 3) (pow c 3))))) (pow b_2 6))) (* 1/4 (/ (* a c) (pow b_2 2))))))
(+ (log (/ 2 c)) (* -1 (log (/ -1 b_2))))
(+ (log (/ 2 c)) (+ (* -1 (log (/ -1 b_2))) (* -1/4 (/ (* a c) (pow b_2 2)))))
(+ (log (/ 2 c)) (+ (* -1 (log (/ -1 b_2))) (+ (* -1/4 (/ (* a c) (pow b_2 2))) (* 1/24 (/ (+ (* -12 (* c (+ (* -1/8 (* (pow a 2) c)) (* 1/4 (* (pow a 2) c))))) (* -3/4 (* (pow a 2) (pow c 2)))) (pow b_2 4))))))
(+ (log (/ 2 c)) (+ (* -1 (log (/ -1 b_2))) (+ (* -1/4 (/ (* a c) (pow b_2 2))) (+ (* 1/720 (/ (+ (* -360 (* c (+ (* -1/4 (* a (* c (+ (* -1/8 (* (pow a 2) c)) (* 1/4 (* (pow a 2) c)))))) (+ (* -1/16 (* (pow a 3) (pow c 2))) (* 2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))))))) (+ (* -90 (* a (* (pow c 2) (+ (* -1/8 (* (pow a 2) c)) (* 1/4 (* (pow a 2) c)))))) (* -15/4 (* (pow a 3) (pow c 3))))) (pow b_2 6))) (* 1/24 (/ (+ (* -12 (* c (+ (* -1/8 (* (pow a 2) c)) (* 1/4 (* (pow a 2) c))))) (* -3/4 (* (pow a 2) (pow c 2)))) (pow b_2 4)))))))
(* -2 (/ b_2 c))
(* -1 (* b_2 (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))
(* -1 (* b_2 (- (+ (* -1 (/ (+ (* -1/8 (* (pow a 2) c)) (* 1/4 (* (pow a 2) c))) (pow b_2 4))) (* 2 (/ 1 c))) (* 1/2 (/ a (pow b_2 2))))))
(* -1 (* b_2 (- (+ (* -1 (/ (+ (* -1/4 (* a (* c (+ (* -1/8 (* (pow a 2) c)) (* 1/4 (* (pow a 2) c)))))) (+ (* -1/16 (* (pow a 3) (pow c 2))) (* 2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))))) (pow b_2 6))) (* 2 (/ 1 c))) (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 4))) (+ (* 1/4 (/ (* (pow a 2) c) (pow b_2 4))) (* 1/2 (/ a (pow b_2 2))))))))
(/ c b_2)
(/ c b_2)
(/ c b_2)
(/ c b_2)
(* -1 (pow b_2 2))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(* -1/2 (/ (* a c) b_2))
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2))

Outputs
(* -2 (/ b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/.f64 (fma.f64 (/.f64 (.f64 c a) b_2) #s(literal 1/2 binary64) (.f64 b_2 #s(literal -2 binary64))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/.f64 (fma.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 c c) a)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 b_2 #s(literal -2 binary64))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1/8 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b_2 #s(literal 5 binary64)))) a (.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a (*.f64 b_2 #s(literal -2 binary64))) a)
(* -2 (/ b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/.f64 (fma.f64 (/.f64 (.f64 c a) b_2) #s(literal 1/2 binary64) (.f64 b_2 #s(literal -2 binary64))) a)
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/.f64 (fma.f64 (/.f64 (.f64 c a) b_2) #s(literal 1/2 binary64) (.f64 b_2 #s(literal -2 binary64))) a)
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/.f64 (fma.f64 (/.f64 (.f64 c a) b_2) #s(literal 1/2 binary64) (.f64 b_2 #s(literal -2 binary64))) a)
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
(* -2 (/ b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/.f64 (fma.f64 (/.f64 (.f64 c a) b_2) #s(literal 1/2 binary64) (.f64 b_2 #s(literal -2 binary64))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/.f64 (fma.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 c c) a)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 b_2 #s(literal -2 binary64))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1/8 binary64) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b_2 #s(literal 5 binary64)))) a (.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) a (*.f64 b_2 #s(literal -2 binary64))) a)
(* -2 (/ b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/.f64 (fma.f64 (/.f64 (.f64 c a) b_2) #s(literal 1/2 binary64) (.f64 b_2 #s(literal -2 binary64))) a)
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/.f64 (fma.f64 (/.f64 (.f64 c a) b_2) #s(literal 1/2 binary64) (.f64 b_2 #s(literal -2 binary64))) a)
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/.f64 (fma.f64 (/.f64 (.f64 c a) b_2) #s(literal 1/2 binary64) (.f64 b_2 #s(literal -2 binary64))) a)
(/ (- b_2 (* b_2 (sqrt -1))) a)
(/.f64 (-.f64 b_2 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)) a)
(/ (- (+ b_2 (* -1/2 (/ (* a (* c (sqrt -1))) b_2))) (* b_2 (sqrt -1))) a)
(/.f64 (-.f64 (fma.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) c) a) b_2) #s(literal -1/2 binary64) b_2) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)) a)
(/ (- (+ b_2 (* a (+ (* -1/2 (/ (* c (sqrt -1)) b_2)) (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3)))))) (* b_2 (sqrt -1))) a)
(/.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 c c) a) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal -1/2 binary64))) a b_2) (.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)) a)
(/ (- (+ b_2 (* a (+ (* -1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))) (* 1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3)))))))) (* b_2 (sqrt -1))) a)
(/.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64))) a (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal -1/2 binary64))) a b_2) (.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)) a)
(* a (- b_2 (* b_2 (sqrt -1))))
(.f64 (-.f64 b_2 (.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)) a)
(* a (- (+ b_2 (* -1/2 (/ (* a (* c (sqrt -1))) b_2))) (* b_2 (sqrt -1))))
(.f64 (-.f64 (fma.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) c) a) b_2) #s(literal -1/2 binary64) b_2) (.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)) a)
(* a (- (+ b_2 (* a (+ (* -1/2 (/ (* c (sqrt -1)) b_2)) (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3)))))) (* b_2 (sqrt -1))))
(.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 c c) a) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal -1/2 binary64))) a b_2) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)) a)
(* a (- (+ b_2 (* a (+ (* -1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))) (* 1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3)))))))) (* b_2 (sqrt -1))))
(.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64))) a (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal -1/2 binary64))) a b_2) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)) a)
(- b_2 (* b_2 (sqrt -1)))
(-.f64 b_2 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2))
(- (+ b_2 (* -1/2 (/ (* a (* c (sqrt -1))) b_2))) (* b_2 (sqrt -1)))
(-.f64 (fma.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) c) a) b_2) #s(literal -1/2 binary64) b_2) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2))
(- (+ b_2 (* a (- (* 1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2))))) (* b_2 (sqrt -1)))
(-.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 c c) a) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal -1/2 binary64))) a b_2) (.f64 (sqrt.f64 #s(literal -1 binary64)) b_2))
(- (+ b_2 (* a (- (* a (- (* -1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))) (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))))) (* 1/2 (/ (* c (sqrt -1)) b_2))))) (* b_2 (sqrt -1)))
(-.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1/8 binary64) (.f64 (/.f64 (.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64))) a (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal -1/2 binary64))) a b_2) (.f64 (sqrt.f64 #s(literal -1 binary64)) b_2))
(* b_2 (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)
(+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1)))
(fma.f64 (/.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) c) a) b_2) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2))
(+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 c c) a) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 3 binary64))) (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal 1/2 binary64))) a (.f64 (sqrt.f64 #s(literal -1 binary64)) b_2))
(+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64))) (.f64 (/.f64 (.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal 1/16 binary64))) a (.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal 1/2 binary64))) a (.f64 (sqrt.f64 #s(literal -1 binary64)) b_2))
(- (/ b_2 (sqrt -1)) b_2)
(-.f64 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))) b_2)
(- (+ (* 1/2 (/ (* a c) (* b_2 (sqrt -1)))) (/ b_2 (sqrt -1))) b_2)
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 c a) b_2) (-.f64 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))) b_2))
(- (+ (* a (+ (* -1/8 (/ (* a (pow c 2)) (* (pow b_2 3) (sqrt -1)))) (* 1/2 (/ c (* b_2 (sqrt -1)))))) (/ b_2 (sqrt -1))) b_2)
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 c b_2) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))))) a (-.f64 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))) b_2))
(- (+ (* a (+ (* 1/2 (/ c (* b_2 (sqrt -1)))) (* a (+ (* -1/8 (/ (pow c 2) (* (pow b_2 3) (sqrt -1)))) (* 1/16 (/ (* a (pow c 3)) (* (pow b_2 5) (sqrt -1)))))))) (/ b_2 (sqrt -1))) b_2)
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))))) a (.f64 (/.f64 c (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)) #s(literal 1/2 binary64))) a (-.f64 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))) b_2))
(/ (- (/ b_2 (sqrt -1)) b_2) a)
(/.f64 (-.f64 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))) b_2) a)
(/ (- (+ (* 1/2 (/ (* a c) (* b_2 (sqrt -1)))) (/ b_2 (sqrt -1))) b_2) a)
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 c a) b_2) (-.f64 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))) b_2)) a)
(/ (- (+ (* a (+ (* -1/8 (/ (* a (pow c 2)) (* (pow b_2 3) (sqrt -1)))) (* 1/2 (/ c (* b_2 (sqrt -1)))))) (/ b_2 (sqrt -1))) b_2) a)
(/.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 c b_2) (.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))))) a (-.f64 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))) b_2)) a)
(/ (- (+ (* a (+ (* 1/2 (/ c (* b_2 (sqrt -1)))) (* a (+ (* -1/8 (/ (pow c 2) (* (pow b_2 3) (sqrt -1)))) (* 1/16 (/ (* a (pow c 3)) (* (pow b_2 5) (sqrt -1)))))))) (/ b_2 (sqrt -1))) b_2) a)
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(.f64 (neg.f64 b_2) (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (.f64 (.f64 a a) (.f64 c c)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (/.f64 a b_2) (/.f64 c b_2)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
(pow b_2 2)
(*.f64 b_2 b_2)
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(.f64 (fma.f64 (/.f64 a b_2) (/.f64 c b_2) #s(literal 1 binary64)) (.f64 b_2 b_2))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(.f64 (fma.f64 (/.f64 a b_2) (/.f64 c b_2) #s(literal 1 binary64)) (.f64 b_2 b_2))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(.f64 (fma.f64 (/.f64 a b_2) (/.f64 c b_2) #s(literal 1 binary64)) (.f64 b_2 b_2))
(* -1/2 (/ c b_2))
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (*.f64 c #s(literal 1/2 binary64)))) b_2)
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (*.f64 c #s(literal 1/2 binary64))))) b_2)
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/2 c) (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6))))))) b_2))
(/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 #s(literal 1/2 binary64) (+.f64 c (.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 #s(literal 5/64 binary64) a))))))) b_2)
(* -1 (+ (log (/ 2 c)) (* -1 (log (/ -1 b_2)))))
(neg.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) c)) (log.f64 (/.f64 #s(literal -1 binary64) b_2))))
(+ (* -1 (+ (log (/ 2 c)) (* -1 (log (/ -1 b_2))))) (* 1/4 (/ (* a c) (pow b_2 2))))
(-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) b_2) (/.f64 (.f64 c a) b_2)) (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) c)) (log.f64 (/.f64 #s(literal -1 binary64) b_2))))
(+ (* -1 (+ (log (/ 2 c)) (* -1 (log (/ -1 b_2))))) (+ (* -1/24 (/ (+ (* -12 (* c (+ (* -1/8 (* (pow a 2) c)) (* 1/4 (* (pow a 2) c))))) (* -3/4 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 1/4 (/ (* a c) (pow b_2 2)))))
(-.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -3/4 binary64) (.f64 a a)) (.f64 c c) (.f64 (.f64 (.f64 (.f64 (.f64 a a) c) #s(literal 1/8 binary64)) c) #s(literal -12 binary64))) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/24 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) b_2) (/.f64 (.f64 c a) b_2))) (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) c)) (log.f64 (/.f64 #s(literal -1 binary64) b_2))))
(+ (* -1 (+ (log (/ 2 c)) (* -1 (log (/ -1 b_2))))) (+ (* -1/24 (/ (+ (* -12 (* c (+ (* -1/8 (* (pow a 2) c)) (* 1/4 (* (pow a 2) c))))) (* -3/4 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (+ (* -1/720 (/ (+ (* -360 (* c (+ (* -1/4 (* a (* c (+ (* -1/8 (* (pow a 2) c)) (* 1/4 (* (pow a 2) c)))))) (+ (* -1/16 (* (pow a 3) (pow c 2))) (* 2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))))))) (+ (* -90 (* a (* (pow c 2) (+ (* -1/8 (* (pow a 2) c)) (* 1/4 (* (pow a 2) c)))))) (* -15/4 (* (pow a 3) (pow c 3))))) (pow b_2 6))) (* 1/4 (/ (* a c) (pow b_2 2))))))
(-.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -3/4 binary64) (.f64 a a)) (.f64 c c) (.f64 (.f64 (.f64 (.f64 (.f64 a a) c) #s(literal 1/8 binary64)) c) #s(literal -12 binary64))) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/24 binary64) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -360 binary64) c) (fma.f64 (.f64 #s(literal -1/4 binary64) a) (.f64 (.f64 (.f64 (.f64 a a) c) #s(literal 1/8 binary64)) c) (fma.f64 (.f64 (/.f64 (.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (.f64 c c)) (/.f64 #s(literal 5/64 binary64) a)) #s(literal 2 binary64) (.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 a #s(literal 3 binary64))) (.f64 c c)))) (fma.f64 (.f64 #s(literal -90 binary64) a) (.f64 (.f64 (.f64 (.f64 a a) c) #s(literal 1/8 binary64)) (.f64 c c)) (.f64 (.f64 #s(literal -15/4 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1/720 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) b_2) (/.f64 (.f64 c a) b_2)))) (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) c)) (log.f64 (/.f64 #s(literal -1 binary64) b_2))))
(+ (log (/ 2 c)) (* -1 (log (/ -1 b_2))))
(-.f64 (log.f64 (/.f64 #s(literal 2 binary64) c)) (log.f64 (/.f64 #s(literal -1 binary64) b_2)))
(+ (log (/ 2 c)) (+ (* -1 (log (/ -1 b_2))) (* -1/4 (/ (* a c) (pow b_2 2)))))
(+.f64 (fma.f64 (*.f64 (/.f64 a b_2) (/.f64 c b_2)) #s(literal -1/4 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) b_2)))) (log.f64 (/.f64 #s(literal 2 binary64) c)))
(+ (log (/ 2 c)) (+ (* -1 (log (/ -1 b_2))) (+ (* -1/4 (/ (* a c) (pow b_2 2))) (* 1/24 (/ (+ (* -12 (* c (+ (* -1/8 (* (pow a 2) c)) (* 1/4 (* (pow a 2) c))))) (* -3/4 (* (pow a 2) (pow c 2)))) (pow b_2 4))))))
(+.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -3/4 binary64) (.f64 a a)) (.f64 c c) (.f64 (.f64 (.f64 (.f64 (.f64 a a) c) #s(literal 1/8 binary64)) c) #s(literal -12 binary64))) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1/24 binary64) (.f64 (/.f64 #s(literal -1/4 binary64) b_2) (/.f64 (.f64 c a) b_2))) (log.f64 (/.f64 #s(literal -1 binary64) b_2))) (log.f64 (/.f64 #s(literal 2 binary64) c)))
(+ (log (/ 2 c)) (+ (* -1 (log (/ -1 b_2))) (+ (* -1/4 (/ (* a c) (pow b_2 2))) (+ (* 1/720 (/ (+ (* -360 (* c (+ (* -1/4 (* a (* c (+ (* -1/8 (* (pow a 2) c)) (* 1/4 (* (pow a 2) c)))))) (+ (* -1/16 (* (pow a 3) (pow c 2))) (* 2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))))))) (+ (* -90 (* a (* (pow c 2) (+ (* -1/8 (* (pow a 2) c)) (* 1/4 (* (pow a 2) c)))))) (* -15/4 (* (pow a 3) (pow c 3))))) (pow b_2 6))) (* 1/24 (/ (+ (* -12 (* c (+ (* -1/8 (* (pow a 2) c)) (* 1/4 (* (pow a 2) c))))) (* -3/4 (* (pow a 2) (pow c 2)))) (pow b_2 4)))))))
(+.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) c)) (log.f64 (/.f64 #s(literal -1 binary64) b_2))) (fma.f64 (/.f64 #s(literal -1/4 binary64) b_2) (/.f64 (.f64 c a) b_2) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal -360 binary64) c) (fma.f64 (.f64 #s(literal -1/4 binary64) a) (.f64 (.f64 (.f64 (.f64 a a) c) #s(literal 1/8 binary64)) c) (fma.f64 (.f64 (/.f64 (.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (.f64 c c)) (/.f64 #s(literal 5/64 binary64) a)) #s(literal 2 binary64) (.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 a #s(literal 3 binary64))) (.f64 c c)))) (fma.f64 (.f64 #s(literal -90 binary64) a) (.f64 (.f64 (.f64 (.f64 a a) c) #s(literal 1/8 binary64)) (.f64 c c)) (.f64 (.f64 #s(literal -15/4 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1/720 binary64) (.f64 (/.f64 (fma.f64 (.f64 #s(literal -3/4 binary64) (.f64 a a)) (.f64 c c) (.f64 (.f64 (.f64 (.f64 (.f64 a a) c) #s(literal 1/8 binary64)) c) #s(literal -12 binary64))) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1/24 binary64)))))
(* -2 (/ b_2 c))
(*.f64 (/.f64 b_2 c) #s(literal -2 binary64))
(* -1 (* b_2 (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))
(.f64 (neg.f64 b_2) (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c)))
(* -1 (* b_2 (- (+ (* -1 (/ (+ (* -1/8 (* (pow a 2) c)) (* 1/4 (* (pow a 2) c))) (pow b_2 4))) (* 2 (/ 1 c))) (* 1/2 (/ a (pow b_2 2))))))
(.f64 (neg.f64 b_2) (fma.f64 (/.f64 (.f64 (.f64 (.f64 a a) c) #s(literal 1/8 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c))))
(* -1 (* b_2 (- (+ (* -1 (/ (+ (* -1/4 (* a (* c (+ (* -1/8 (* (pow a 2) c)) (* 1/4 (* (pow a 2) c)))))) (+ (* -1/16 (* (pow a 3) (pow c 2))) (* 2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))))) (pow b_2 6))) (* 2 (/ 1 c))) (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 4))) (+ (* 1/4 (/ (* (pow a 2) c) (pow b_2 4))) (* 1/2 (/ a (pow b_2 2))))))))
(.f64 (neg.f64 b_2) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) c) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) a) (.f64 (.f64 (.f64 (.f64 a a) c) #s(literal 1/8 binary64)) c) (fma.f64 (.f64 (/.f64 (.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (.f64 c c)) (/.f64 #s(literal 5/64 binary64) a)) #s(literal 2 binary64) (.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 a #s(literal 3 binary64))) (.f64 c c)))) (pow.f64 b_2 #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 a a) (/.f64 c (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (.f64 (.f64 a a) (/.f64 c (pow.f64 b_2 #s(literal 4 binary64)))) #s(literal 1/4 binary64) (.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal 1/2 binary64))))))
(/ c b_2)
(/.f64 c b_2)
(/ c b_2)
(/.f64 c b_2)
(/ c b_2)
(/.f64 c b_2)
(/ c b_2)
(/.f64 c b_2)
(* -1 (pow b_2 2))
(neg.f64 (*.f64 b_2 b_2))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) (.f64 b_2 b_2))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) (.f64 b_2 b_2))
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))
(.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) (.f64 b_2 b_2))
(* -1/2 (/ (* a c) b_2))
(.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c a) b_2))
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))
(/.f64 (neg.f64 (fma.f64 (.f64 (/.f64 (.f64 c c) b_2) (/.f64 (.f64 a a) b_2)) #s(literal 1/8 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 c a)))) b_2)
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))
(/.f64 (neg.f64 (-.f64 (fma.f64 (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1/16 binary64) (.f64 #s(literal 1/2 binary64) (.f64 c a))) (.f64 (.f64 (/.f64 (.f64 c c) b_2) (/.f64 (*.f64 a a) b_2)) #s(literal -1/8 binary64)))) b_2)
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2))
(/.f64 (neg.f64 (-.f64 (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 5/64 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 c a))) (fma.f64 (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/16 binary64) (.f64 (.f64 (/.f64 (.f64 c c) b_2) (/.f64 (*.f64 a a) b_2)) #s(literal -1/8 binary64))))) b_2)

rewrite178.0ms (2.3%)

Memory

0.7MiB live, 248.3MiB allocated

Rules

4 918×	`lower-/.f32`
4 904×	`lower-/.f64`
4 074×	`lower-*.f32`
4 058×	`lower-*.f64`
3 680×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	344
0	75	340
1	277	333
2	1942	332
0	8173	332

Stop Event

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

Counts

23 → 865

Calls

Call 1

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

Outputs
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eval223.0ms (2.9%)

Memory: 24.4MiB live, 272.6MiB allocated
Compiler: Compiled 43 549 to 5 905 computations (86.4% saved)

prune91.0ms (1.2%)

Memory

-38.0MiB live, 138.1MiB allocated

Pruning

30 alts after pruning (21 fresh and 9 done)

	Pruned	Kept	Total
New	1 695	8	1 703
Fresh	3	13	16
Picked	2	3	5
Done	0	6	6
Total	1 700	30	1 730

Accuracy

93.9%

Counts

1 730 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	11.6%	(pow.f64 (.f64 (/.f64 a #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2))) (/.f64 a #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1/2 binary64))
	15.5%	(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))))
	14.7%	(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 a))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))))
	27.8%	(/.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2))
	17.9%	(/.f64 (-.f64 (.f64 (neg.f64 b_2) (.f64 a (/.f64 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) (.f64 a #s(literal 1 binary64))) (.f64 a (.f64 a (/.f64 (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))))
	30.4%	(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (.f64 a (fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))))
✓	59.8%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	35.3%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
	33.6%	(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))) a)
	12.6%	(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (fma.f64 (.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) (/.f64 c b_2) #s(literal -1 binary64)) b_2))) a)
	32.1%	(/.f64 (+.f64 (/.f64 #s(approx (+ (* c a) (* b_2 b_2)) (.f64 c a)) (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (*.f64 (neg.f64 c) a)))) (neg.f64 b_2)) a)
	29.2%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(approx (neg (+ (* c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))) (fma.f64 c a (.f64 b_2 b_2)))) (neg.f64 b_2)) a)
✓	15.8%	(/.f64 (.f64 a (-.f64 b_2 (sqrt.f64 #s(approx (neg (+ ( c a) (* b_2 b_2))) (.f64 (neg.f64 c) a))))) (.f64 a a))
✓	35.7%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 b_2 #s(literal -2 binary64))) a)
✓	25.6%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c a) b_2))) a)
	35.3%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))))
	29.1%	(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)))))
	35.6%	(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
	35.6%	(.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #s(literal -1 binary64)) #s(literal -1 binary64)))
	17.8%	(exp.f64 (.f64 (log.f64 #s(approx (/ a (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c))))) (.f64 (neg.f64 b_2) (fma.f64 (/.f64 a (.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) c))))) #s(literal -1 binary64)))
	15.7%	(exp.f64 (log.f64 (/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)))
	14.6%	(exp.f64 #s(approx (* (log (/ a (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1) (neg.f64 (-.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) a)) (log.f64 b_2)))))
✓	35.7%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
✓	35.7%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
	32.9%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
	33.1%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2)))
✓	33.1%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
	13.1%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (exp.f64 (.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64)))))
	12.4%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c))))
✓	12.4%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))

Compiler

Compiled 1 045 to 531 computations (49.2% saved)

regimes56.0ms (0.7%)

Memory

20.0MiB live, 62.6MiB allocated

Counts

46 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

15.0ms	b_2
13.0ms	a
13.0ms	c
12.0ms	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
59.8%	1	`a`
89.8%	3	`b_2`
59.8%	1	`c`
79.8%	5	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes6.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

5.0ms

b_2

Results

Accuracy	Segments	Branch
86.4%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

-31.8MiB live, 7.0MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

5.0ms

b_2

Results

Accuracy	Segments	Branch
86.4%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

4.0ms	b_2
4.0ms	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
52.1%	3	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
66.5%	2	`b_2`

Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes5.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

b_2

Results

Accuracy	Segments	Branch
66.5%	2	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes4.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

b_2

Results

Accuracy	Segments	Branch
66.2%	2	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.1%)

Memory

-26.9MiB live, 12.2MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

3.0ms	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
2.0ms	c
2.0ms	b_2
2.0ms	a

Results

Accuracy	Segments	Branch
33.1%	1	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
33.1%	1	`a`
33.1%	1	`c`
33.1%	1	`b_2`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes7.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
12.4%	1	`b_2`
12.4%	1	`c`
12.4%	1	`a`
12.4%	1	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch41.0ms (0.5%)

Memory

-6.2MiB live, 32.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1.2398958203959866e+71	3.061204527247806e+71
29.0ms	-2.9403324023918745e-19	-1.6443924550781054e-43

Samples

11.0ms	156×	0	valid
8.0ms	42×	2	valid
5.0ms	42×	1	valid
2.0ms	27×	0	invalid

Compiler

Compiled 329 to 317 computations (3.6% saved)

Precisions

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

ival-mult: 4.0ms (23.2% of total)

ival-sub: 4.0ms (23.2% of total)

ival-div: 3.0ms (17.4% of total)

ival-sqrt: 3.0ms (17.4% of total)

adjust: 2.0ms (11.6% of total)

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

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

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

bsearch43.0ms (0.6%)

Memory

-3.0MiB live, 37.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.1657053650120305e-97	3.770776440084807e-96
19.0ms	-7.165244364134698e-44	-4.819365820863869e-46

Samples

12.0ms	175×	0	valid
5.0ms	26×	2	valid
4.0ms	55×	0	invalid
3.0ms	23×	1	valid

Compiler

Compiled 303 to 310 computations (-2.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 4.0ms (26.6% of total)

ival-sqrt: 3.0ms (20% of total)

ival-sub: 3.0ms (20% of total)

ival-div: 2.0ms (13.3% of total)

adjust: 1.0ms (6.7% of total)

ival-neg: 1.0ms (6.7% of total)

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

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

bsearch2.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.1657053650120305e-97	3.770776440084807e-96
1.0ms	-7.165244364134698e-44	-4.819365820863869e-46

Compiler

Compiled 289 to 303 computations (-4.8% saved)

bsearch22.0ms (0.3%)

Memory

19.7MiB live, 19.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	-7.874055509382967e-306	8.332268788030009e-308

Samples

9.0ms	128×	0	valid
4.0ms	64×	0	invalid

Compiler

Compiled 152 to 168 computations (-10.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-sub: 2.0ms (25.1% of total)

ival-mult: 2.0ms (25.1% of total)

ival-div: 1.0ms (12.6% of total)

ival-sqrt: 1.0ms (12.6% of total)

ival-neg: 1.0ms (12.6% of total)

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

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

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-7.874055509382967e-306	8.332268788030009e-308

Compiler

Compiled 152 to 168 computations (-10.5% saved)

bsearch22.0ms (0.3%)

Memory

-21.6MiB live, 16.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	-7.874055509382967e-306	8.332268788030009e-308

Samples

8.0ms	112×	0	valid
6.0ms	67×	0	invalid

Compiler

Compiled 112 to 144 computations (-28.6% saved)

Precisions

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

ival-div: 3.0ms (33.3% of total)

ival-sub: 2.0ms (22.2% of total)

ival-mult: 2.0ms (22.2% of total)

ival-sqrt: 1.0ms (11.1% of total)

ival-neg: 1.0ms (11.1% of total)

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

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

simplify26.0ms (0.3%)

Memory

32.0MiB live, 32.0MiB allocated

Algorithm

1×	egg-herbie

Rules

36×	`-commutative-binary64-.f64`
30×	`+-commutative-binary64-+.f64`
26×	`sub-neg-binary64-neg.f64-+.f64--.f64`
20×	`neg-sub0-binary64--.f64-neg.f64`
20×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	386
1	96	386
2	117	386
3	141	386
4	156	386
5	163	386
6	165	386

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -4442964977485945/5846006549323611672814739330865132078623730171904 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (if (<=.f64 b_2 #s(literal 179999999999999997730703140016373739125037122233282115805886606150205440 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (fma.f64 (.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) c (.f64 b_2 #s(literal -2 binary64)))) a)))
(if (<=.f64 b_2 #s(literal -5142201741628769/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (if (<=.f64 b_2 #s(literal 7791900639423713/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) a) (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (fma.f64 (.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) c (.f64 b_2 #s(literal -2 binary64)))) a)))
(if (<=.f64 b_2 #s(literal -5142201741628769/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (if (<=.f64 b_2 #s(literal 7791900639423713/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) a) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))))
(if (<=.f64 b_2 #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
(if (<=.f64 b_2 #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -1454766195646295/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (/.f64 c 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)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))

Outputs
(if (<=.f64 b_2 #s(literal -4442964977485945/5846006549323611672814739330865132078623730171904 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (if (<=.f64 b_2 #s(literal 179999999999999997730703140016373739125037122233282115805886606150205440 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (fma.f64 (.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) c (.f64 b_2 #s(literal -2 binary64)))) a)))
(if (<=.f64 b_2 #s(literal -4442964977485945/5846006549323611672814739330865132078623730171904 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) (if (<=.f64 b_2 #s(literal 179999999999999997730703140016373739125037122233282115805886606150205440 binary64)) (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) b_2) (neg.f64 a)) (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 a b_2)) c (.f64 #s(literal -2 binary64) b_2))) a)))
(if (<=.f64 b_2 #s(literal -5142201741628769/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (if (<=.f64 b_2 #s(literal 7791900639423713/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) a) (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (fma.f64 (.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) c (.f64 b_2 #s(literal -2 binary64)))) a)))
(if (<=.f64 b_2 #s(literal -5142201741628769/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) (if (<=.f64 b_2 #s(literal 7791900639423713/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (/.f64 (+.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) b_2) (neg.f64 a)) (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 a b_2)) c (.f64 #s(literal -2 binary64) b_2))) a)))
(if (<=.f64 b_2 #s(literal -5142201741628769/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (if (<=.f64 b_2 #s(literal 7791900639423713/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) a) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))))
(if (<=.f64 b_2 #s(literal -5142201741628769/3213876088517980551083924184682325205044405987565585670602752 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) (if (<=.f64 b_2 #s(literal 7791900639423713/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (/.f64 (+.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) b_2) (neg.f64 a)) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))))
(if (<=.f64 b_2 #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
(if (<=.f64 b_2 #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
(if (<=.f64 b_2 #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 b_2 (/.f64 #s(literal -2 binary64) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))))
(if (<=.f64 b_2 #s(literal -1454766195646295/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) (/.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 -1454766195646295/12650140831706913647030959169932331690597290610258882397306334876714396222999709180747523981339820280949192366519800744461863046086612092304188337496296156870094839017285397585279181733880826021327485479904546566785125467714043293663631459728072472271300628532022423097020838413451906408261645469290375391456731733818343424 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) (/.f64 #s(approx (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))

soundness626.0ms (8.1%)

Memory

-0.7MiB live, 352.0MiB allocated

Rules

9 508×	`lower-fma.f64`
9 508×	`lower-fma.f32`
8 494×	`lower-fma.f64`
8 494×	`lower-fma.f32`
6 878×	`lower-*.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	528	3105
1	1657	3067
2	5512	3045
0	8289	2913
0	1449	13741
1	4864	13473
0	8464	12952
0	49	301
0	72	301
1	262	295
2	1834	295
0	8713	293
0	40	248
0	66	256
1	256	250
2	1931	220
0	9535	220

Stop Event

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

Compiler

Compiled 327 to 205 computations (37.3% saved)

preprocess173.0ms (2.2%)

Memory: -10.9MiB live, 116.2MiB allocated
Compiler: Compiled 574 to 196 computations (65.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	50
0	17	50
1	32	50
2	59	50
3	121	50
4	200	50
5	353	50
6	594	50
7	708	50
8	769	50
9	785	50
10	786	50
0	786	50

Iter	Nodes	Cost
0	10	50
0	17	50
1	32	50
2	59	50
3	121	50
4	200	50
5	353	50
6	594	50
7	708	50
8	769	50
9	785	50
10	786	50
0	786	50

start0.0ms (0%)

analyze135.0ms (1.7%)

sample1.9s (24.1%)

explain248.0ms (3.2%)

preprocess130.0ms (1.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify26.0ms (0.3%)

localize63.0ms (0.8%)

series29.0ms (0.4%)

simplify171.0ms (2.2%)

rewrite279.0ms (3.6%)

eval225.0ms (2.9%)

prune23.0ms (0.3%)

simplify118.0ms (1.5%)

localize182.0ms (2.3%)

series100.0ms (1.3%)

simplify262.0ms (3.4%)

rewrite275.0ms (3.5%)

eval488.0ms (6.3%)

prune144.0ms (1.8%)

simplify108.0ms (1.4%)

localize112.0ms (1.4%)

series50.0ms (0.6%)

simplify204.0ms (2.6%)

rewrite179.0ms (2.3%)

eval159.0ms (2%)

prune63.0ms (0.8%)

simplify92.0ms (1.2%)

localize113.0ms (1.5%)

series117.0ms (1.5%)

simplify253.0ms (3.3%)

rewrite178.0ms (2.3%)

eval223.0ms (2.9%)

prune91.0ms (1.2%)

regimes56.0ms (0.7%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes9.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch41.0ms (0.5%)

bsearch43.0ms (0.6%)

bsearch2.0ms (0%)

bsearch22.0ms (0.3%)

bsearch1.0ms (0%)

bsearch22.0ms (0.3%)

simplify26.0ms (0.3%)

soundness626.0ms (8.1%)

preprocess173.0ms (2.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	50
0	17	50
1	32	50
2	59	50
3	121	50
4	200	50
5	353	50
6	594	50
7	708	50
8	769	50
9	785	50
10	786	50
0	786	50