Metrics for Quadratic roots, full range

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze180.0ms (1.7%)

Memory

-2.6MiB live, 273.3MiB 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
40%	37.4%	56.2%	0.1%	0%	6.2%	0%	7
48.3%	45.2%	48.4%	0.1%	0%	6.2%	0%	8
53%	48.4%	42.9%	0.1%	0%	8.6%	0%	9
58.1%	50.3%	36.3%	0.1%	0%	13.3%	0%	10
66.1%	56.8%	29.1%	0.1%	0%	14%	0%	11
70.4%	58.8%	24.7%	0.1%	0%	16.4%	0%	12

Compiler

Compiled 19 to 16 computations (15.8% saved)

sample2.2s (21.1%)

Memory

-691.3MiB live, 3 011.8MiB allocated

Samples

892.0ms	5 560×	0	valid
419.0ms	1 135×	2	valid
241.0ms	1 372×	1	valid
83.0ms	981×	0	invalid
65.0ms	189×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-mult: 675.0ms (49.7% of total)

ival-div: 139.0ms (10.2% of total)

ival-sqrt: 129.0ms (9.5% of total)

ival-add: 126.0ms (9.3% of total)

ival-sub: 108.0ms (8% of total)

adjust: 96.0ms (7.1% of total)

ival-neg: 65.0ms (4.8% of total)

exact: 10.0ms (0.7% of total)

ival-true: 7.0ms (0.5% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain219.0ms (2.1%)

Memory

-13.8MiB live, 428.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
109	0	-	3	(7.658647886800383e-52 6.555396314906133e-295 -2.5677387616996284e-273)	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`
62	2	(2.6383408285461523e+78 5.893428100402469e-24 -2.2033258189553448e-129)	0	-	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`
19	1	(-7.1774527058723285e-25 2.4686408399150668e+42 9.286636011296596e-281)	4	(1.768722859488822e-288 3.3131589655627694e+185 -1.782989581537402e+160)	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
5	0	-	0	-	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`
0	0	-	0	-	`a`
0	0	-	0	-	`#s(literal 4 binary64)`
0	0	-	0	-	`(.f64 (.f64 #s(literal 4 binary64) a) c)`
0	0	-	0	-	`(*.f64 b b)`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) a)`
0	0	-	0	-	`c`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(neg.f64 b)`
0	0	-	0	-	`(*.f64 #s(literal 4 binary64) a)`
0	0	-	0	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`	oflow-rescue	102	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	overflow	102
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	overflow	27
↳	`(*.f64 b b)`	overflow	87
`+.f64`	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`	cancellation	64	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`	u/n	16	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	underflow	4
↳	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`	underflow	27
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	underflow	38
↳	`(*.f64 b b)`	underflow	49
`-.f64`	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	nan-rescue	5	0
↳	`(*.f64 b b)`	overflow	87
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	overflow	27
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`	uflow-rescue	4	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	underflow	4
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	underflow	38
↳	`(*.f64 b b)`	underflow	49

Confusion

	Predicted +	Predicted -
+	132	2
-	20	102

Precision

0.868421052631579

Recall

0.9850746268656716

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	132	0	2
-	20	0	102

Precision?

0.868421052631579

Recall?

0.9850746268656716

Freqs

test

number	freq
0	104
1	117
2	31
3	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

58.0ms	334×	0	valid
20.0ms	76×	2	valid
15.0ms	90×	1	valid
3.0ms	12×	3	valid

Compiler

Compiled 164 to 46 computations (72% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-div: 32.0ms (45.3% of total)

ival-mult: 14.0ms (19.8% of total)

adjust: 8.0ms (11.3% of total)

ival-sqrt: 6.0ms (8.5% of total)

ival-sub: 4.0ms (5.7% of total)

ival-add: 4.0ms (5.7% of total)

ival-neg: 2.0ms (2.8% of total)

exact: 1.0ms (1.4% of total)

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

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

preprocess140.0ms (1.3%)

Memory

11.5MiB live, 128.5MiB allocated

Algorithm

1×	egg-herbie

Rules

1 548×	`div-sub`
1 120×	`lower-fma.f64`
1 120×	`lower-fma.f32`
1 004×	`sub-neg`
744×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	158
1	162	144
2	463	144
3	1233	144
4	3210	144
5	6057	144
0	14	17
0	23	17
1	40	16
2	77	16
3	160	16
4	240	16
5	381	16
6	662	16
7	1129	16
8	2243	16
9	2519	16
10	2629	16
11	2684	16
12	2685	16
13	2685	16
14	2691	16
0	2691	15

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Outputs

(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))

(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 a #s(literal 2 binary64)))

Compiler

Compiled 20 to 14 computations (30% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.8%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Compiler

Compiled 20 to 14 computations (30% saved)

simplify89.0ms (0.8%)

Memory

-13.1MiB live, 59.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
cost-diff	128	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
cost-diff	128	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))

Rules

1 120×	`lower-fma.f64`
1 120×	`lower-fma.f32`
744×	`lower-*.f32`
736×	`lower-*.f64`
440×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	70
0	23	70
1	40	68
2	77	68
3	160	68
4	240	68
5	381	68
6	662	68
7	1129	68
8	2243	68
9	2519	68
10	2629	68
11	2684	68
12	2685	68
13	2685	68
14	2691	68
0	2691	64

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))
(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
(*.f64 b b)
(.f64 (.f64 #s(literal 4 binary64) a) c)
(*.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)

Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) b) (*.f64 a #s(literal 2 binary64)))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
(-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) b)
(neg.f64 b)
b
(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))
(sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))
(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
(fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))
(*.f64 b b)
(.f64 (.f64 #s(literal 4 binary64) a) c)
(.f64 #s(literal 4 binary64) (.f64 a c))
(*.f64 #s(literal 4 binary64) a)
#s(literal 4 binary64)
a
c
(*.f64 #s(literal 2 binary64) a)
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)

localize85.0ms (0.8%)

Memory

-11.2MiB live, 114.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	1.0078125000000002	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
accuracy	3.6193049239494193	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
accuracy	14.029512282696162	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy	25.051515007094302	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))

Samples

16.0ms	45×	1	valid
16.0ms	167×	0	valid
9.0ms	38×	2	valid
2.0ms	6×	3	valid

Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 6.0ms (23.2% of total)

ival-sqrt: 6.0ms (23.2% of total)

ival-add: 5.0ms (19.4% of total)

ival-div: 3.0ms (11.6% of total)

ival-sub: 2.0ms (7.7% of total)

adjust: 2.0ms (7.7% of total)

ival-neg: 1.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

series34.0ms (0.3%)

Memory

3.2MiB live, 41.1MiB allocated

Counts

5 → 156

Calls

Call 1

Inputs
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())

Outputs
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) (taylor inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -2 b) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) (taylor -inf b) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) (taylor 0 a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ())
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#s(alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) (taylor inf b) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor inf b) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 b) (taylor -inf b) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) (taylor -inf b) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) (taylor 0 a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) (taylor inf c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) (taylor -inf c) (#s(alt (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ())

Calls

39 calls:

Time	Variable		Point	Expression
11.0ms	c	@	-inf	(sqrt (- (* b b) (* (* 4 a) c)))
1.0ms	b	@	inf	(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
1.0ms	c	@	inf	(sqrt (- (* b b) (* (* 4 a) c)))
1.0ms	b	@	0	(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
1.0ms	a	@	inf	(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))

simplify263.0ms (2.5%)

Memory

-10.0MiB live, 520.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 458×	`lower-fma.f64`
11 458×	`lower-fma.f32`
7 766×	`lower-*.f64`
7 766×	`lower-*.f32`
2 546×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	545	3273
1	1738	3232
2	6083	3204
0	8243	3047

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 153

Calls

Call 1

Inputs
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -4 (* a c))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -4 (* a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* -4 (* a c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))

Outputs
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (neg.f64 b))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 b (fma.f64 b (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c))))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/32 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1 binary64)) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
(* -2 (/ (* a c) b))
(.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/.f64 (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (.f64 a (.f64 c c)) (.f64 b b)) (*.f64 a c))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c))))) (.f64 (.f64 b b) (.f64 b b))) (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (.f64 a (.f64 c c)) (.f64 b b)) (*.f64 a c)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c))))) (.f64 (.f64 b b) (.f64 b b))) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (.f64 a (.f64 c c)) (.f64 b b)) (.f64 a c)) (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (pow.f64 b #s(literal 6 binary64))))))) b)
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(.f64 b (neg.f64 (fma.f64 (.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 b b)) #s(literal 2 binary64))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (.f64 b b)) (/.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 2 binary64)) (neg.f64 b))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(.f64 b (neg.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (.f64 b b)) (/.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 b b) (.f64 b b)))) (fma.f64 #s(literal -4 binary64) (.f64 (.f64 a (.f64 a a)) (/.f64 (.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 2 binary64)))))
(* -2 (/ (* a c) b))
(.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(.f64 (.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (.f64 c c) (.f64 b (*.f64 b b))) (/.f64 c b)))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(.f64 a (fma.f64 a (fma.f64 (/.f64 (.f64 c (.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (.f64 a #s(literal -4 binary64)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) (/.f64 (.f64 #s(literal -4 binary64) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))))
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b (neg.f64 a))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(.f64 a (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b (neg.f64 a)))))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(.f64 a (fma.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (*.f64 a a)))))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b (neg.f64 a))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 b a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64)) (neg.f64 b)) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 (fma.f64 (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 a c))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)))) a) b) a)) (neg.f64 a))
(* -2 (/ (* a c) b))
(.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(.f64 (.f64 c #s(literal -2 binary64)) (fma.f64 c (.f64 a (/.f64 a (.f64 b (*.f64 b b)))) (/.f64 a b)))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (.f64 a (/.f64 a (.f64 b (.f64 b b)))) (/.f64 (.f64 #s(literal -4 binary64) (.f64 c (.f64 a (.f64 a a)))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -2 binary64)) b)))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (.f64 #s(literal -4 binary64) (.f64 a (.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (.f64 b (.f64 b b)))) (/.f64 (*.f64 a #s(literal -2 binary64)) b)))
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b (neg.f64 c))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(.f64 c (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (/.f64 b (neg.f64 c)))))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(.f64 c (-.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))))) (/.f64 b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 b c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64)) (neg.f64 b)) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (.f64 (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) #s(literal -1/64 binary64)))) c) b) c)) (neg.f64 c))
(* -4 (* a c))
(.f64 a (.f64 c #s(literal -4 binary64)))
(- (pow b 2) (* 4 (* a c)))
(fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))
(- (pow b 2) (* 4 (* a c)))
(fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))
(- (pow b 2) (* 4 (* a c)))
(fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 (.f64 a c) (/.f64 #s(literal -4 binary64) (.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 (.f64 a c) (/.f64 #s(literal -4 binary64) (.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 (.f64 a c) (/.f64 #s(literal -4 binary64) (.f64 b b)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 (.f64 a c) (/.f64 #s(literal -4 binary64) (.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 (.f64 a c) (/.f64 #s(literal -4 binary64) (.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 (.f64 a c) (/.f64 #s(literal -4 binary64) (.f64 b b)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))
(* -4 (* a c))
(.f64 a (.f64 c #s(literal -4 binary64)))
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(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (.f64 c c) (.f64 b (.f64 b b))) (/.f64 c b)) b)
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(fma.f64 a (fma.f64 a (fma.f64 (/.f64 (.f64 c (.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (.f64 a #s(literal -4 binary64)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (.f64 #s(literal -2 binary64) (/.f64 c b))) b)
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(.f64 a (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (*.f64 a a))))))) (sqrt.f64 #s(literal -4 binary64)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(.f64 a (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (sqrt.f64 #s(literal -4 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(.f64 a (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64)))))) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (sqrt.f64 #s(literal -4 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (fma.f64 (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 a))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64))))) (neg.f64 a))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (.f64 (.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)))))) (neg.f64 a))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c b)) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (.f64 c #s(literal -2 binary64)) (fma.f64 c (.f64 a (/.f64 a (.f64 b (.f64 b b)))) (/.f64 a b)) b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (.f64 a (/.f64 a (.f64 b (.f64 b b)))) (/.f64 (.f64 #s(literal -4 binary64) (.f64 c (.f64 a (.f64 a a)))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 a #s(literal -2 binary64)) b)) b)
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(.f64 c (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(.f64 c (fma.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(neg.f64 (.f64 c (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 #s(literal -1/64 binary64) (.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(neg.f64 (.f64 c (fma.f64 #s(literal -1/64 binary64) (.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))))) (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (.f64 (.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64))))))))

rewrite253.0ms (2.4%)

Memory

2.5MiB live, 448.6MiB allocated

Rules

4 850×	`lower-fma.f64`
4 850×	`lower-fma.f32`
3 904×	`lower-*.f32`
3 896×	`lower-*.f64`
2 332×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	51
0	23	51
1	76	49
2	536	48
3	6864	48
0	8158	44

Stop Event

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

Counts

5 → 440

Calls

Call 1

Inputs
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
(neg.f64 b)
(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))

Outputs
(+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
(+.f64 b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))
(+.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b)
(+.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))
(+.f64 (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (neg.f64 (/.f64 (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))))
(+.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #s(literal 0 binary64)) b)
(+.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b)
(-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b)
(-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))
(-.f64 (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (/.f64 (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(-.f64 (/.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(-.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #s(literal 0 binary64)) b)
(fma.f64 b #s(literal 1 binary64) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
(fma.f64 b #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
(fma.f64 b #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))
(fma.f64 b (/.f64 b (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (neg.f64 (/.f64 (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))))
(fma.f64 (.f64 b b) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (neg.f64 (/.f64 (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))))
(fma.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) b) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))
(fma.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) b) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(fma.f64 (.f64 b (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))
(fma.f64 (.f64 b (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 b b)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(fma.f64 #s(literal 1 binary64) b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
(fma.f64 #s(literal 1 binary64) b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (neg.f64 (/.f64 (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
(fma.f64 #s(literal -1 binary64) b (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (neg.f64 (/.f64 (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 (.f64 #s(literal 16 binary64) (.f64 a c)) (*.f64 a c)))) #s(literal 1/2 binary64)) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 (.f64 #s(literal 16 binary64) (.f64 a c)) (*.f64 a c))))) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b (.f64 b (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 (.f64 #s(literal 16 binary64) (.f64 a c)) (*.f64 a c))))) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))) #s(literal 1/2 binary64)) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c))))) b)
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c))))) b)
(fma.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) #s(literal 1/4 binary64)) b)
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) b)
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
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(+.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
(fabs.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
(sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 (.f64 #s(literal 16 binary64) (.f64 a c)) (*.f64 a c)))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 (.f64 #s(literal 16 binary64) (.f64 a c)) (*.f64 a c))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b (.f64 b (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 (.f64 #s(literal 16 binary64) (.f64 a c)) (*.f64 a c))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) #s(literal 0 binary64))
(/.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b (.f64 b (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 (.f64 #s(literal 16 binary64) (.f64 a c)) (.f64 a c)))) (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (*.f64 b b)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))) (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (sqrt.f64 (fma.f64 b (.f64 b (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 (.f64 #s(literal 16 binary64) (.f64 a c)) (*.f64 a c)))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))))
(/.f64 (sqrt.f64 (fma.f64 b (.f64 (.f64 b (.f64 b b)) (.f64 b b)) (.f64 #s(literal 64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c))))))) (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 #s(literal -4 binary64) c)) (fma.f64 b b (.f64 a (*.f64 #s(literal 4 binary64) c)))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))))) (neg.f64 (sqrt.f64 (fma.f64 b (.f64 b (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 (.f64 #s(literal 16 binary64) (.f64 a c)) (*.f64 a c))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))))) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c))))))
(/.f64 (fma.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #s(literal 0 binary64)) (+.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))) #s(literal 0 binary64)))))
(/.f64 (-.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) #s(literal 0 binary64)) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #s(literal 0 binary64)))
(pow.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #s(literal 1 binary64))
(pow.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 #s(literal 16 binary64) (.f64 a c)) (.f64 a c))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 (.f64 #s(literal 16 binary64) (.f64 a c)) (.f64 a c)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 (.f64 #s(literal 16 binary64) (.f64 a c)) (.f64 a c))))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b (.f64 b (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 (.f64 #s(literal 16 binary64) (.f64 a c)) (.f64 a c))))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a (*.f64 #s(literal 4 binary64) c)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 a (*.f64 #s(literal 4 binary64) c))))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 #s(literal 4 binary64) c))))))
(.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))

eval91.0ms (0.9%)

Memory: -4.1MiB live, 187.3MiB allocated
Compiler: Compiled 22 484 to 2 093 computations (90.7% saved)

prune121.0ms (1.1%)

Memory

-7.4MiB live, 284.3MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	576	17	593
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	577	17	594

Accuracy

90.7%

Counts

594 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.5%	(/.f64 (fma.f64 b b (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))
▶	50.8%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
▶	50.7%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
	33.2%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
	44.8%	(/.f64 (+.f64 (neg.f64 b) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))) (.f64 #s(literal 2 binary64) a))
	12.1%	(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 a (.f64 #s(literal -2 binary64) (/.f64 c b)) b))) (.f64 #s(literal 2 binary64) a))
	30.1%	(/.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))
	28.1%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
	32.0%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))
	31.9%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))) a))
	28.0%	(-.f64 (/.f64 (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c))) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (*.f64 a #s(literal 2 binary64))))
	49.4%	(-.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64))))
	50.7%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
	31.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a))))
	37.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
▶	32.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
▶	30.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)))

Compiler

Compiled 714 to 408 computations (42.9% saved)

simplify158.0ms (1.5%)

Memory

29.2MiB live, 303.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 a #s(literal -4 binary64))
cost-diff	0	(fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))
cost-diff	192	(fma.f64 b b (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))
cost-diff	512	(/.f64 (fma.f64 b b (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
cost-diff	128	(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))
cost-diff	0	(fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c)
cost-diff	0	(/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)
cost-diff	0	(neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)))
cost-diff	0	(neg.f64 a)
cost-diff	0	(/.f64 b (neg.f64 a))
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
cost-diff	0	(fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))
cost-diff	0	(sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))
cost-diff	0	(-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b)
cost-diff	0	(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))

Rules

6 024×	`lower-fma.f32`
6 016×	`lower-fma.f64`
4 322×	`lower-*.f32`
4 308×	`lower-*.f64`
1 792×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	323
0	70	321
1	143	317
2	265	317
3	464	317
4	902	315
5	2086	311
6	5375	311
0	8153	309

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
(-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b)
(sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))
(fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))
c
(*.f64 a #s(literal -4 binary64))
a
#s(literal -4 binary64)
(*.f64 b b)
b
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
(/.f64 b (neg.f64 a))
b
(neg.f64 a)
a
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)))
(neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))
(/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)
(fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c)
(*.f64 c c)
c
(/.f64 a (*.f64 b b))
a
(*.f64 b b)
b
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))
(neg.f64 b)
b
(sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))
(fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))
(*.f64 a c)
a
c
#s(literal -4 binary64)
(*.f64 b b)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 (fma.f64 b b (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))
(fma.f64 b b (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))
b
(fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))
c
(*.f64 a #s(literal -4 binary64))
a
#s(literal -4 binary64)
(*.f64 b b)
(.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
(sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))

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

localize185.0ms (1.7%)

Memory

-9.1MiB live, 347.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.5367964126669666	(.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))
accuracy	12.022610307711242	(+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
accuracy	20.306007933564825	(/.f64 (fma.f64 b b (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))
accuracy	25.051515007094324	(sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))
accuracy	1.0140037597684421	(fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))
accuracy	3.6193049239494193	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
accuracy	14.029512282696162	(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))
accuracy	25.051515007094302	(sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))
accuracy	0.9577847193099658	(/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)
accuracy	8.184215898224974	(/.f64 a (*.f64 b b))
accuracy	11.629121654220066	(fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c)
accuracy	40.239499192174236	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)))
accuracy	0	(/.f64 b (neg.f64 a))
accuracy	0	(neg.f64 a)
accuracy	43.310915463635396	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
accuracy	0.0078125	(fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))
accuracy	3.6193049239494193	(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
accuracy	14.029512282696162	(-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b)
accuracy	25.051515007094324	(sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))

Samples

51.0ms	67×	2	valid
35.0ms	77×	1	valid
27.0ms	92×	0	valid
18.0ms	20×	3	valid

Compiler

Compiled 326 to 42 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-mult: 22.0ms (23.8% of total)

adjust: 21.0ms (22.7% of total)

ival-div: 16.0ms (17.3% of total)

ival-add: 16.0ms (17.3% of total)

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

ival-sub: 4.0ms (4.3% of total)

ival-neg: 3.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

series81.0ms (0.8%)

Memory

21.6MiB live, 139.6MiB allocated

Counts

22 → 696

Calls

Call 1

Inputs
#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #<representation binary64>) () ())
#s(alt (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (patch (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) #<representation binary64>) () ())
#s(alt (/.f64 b (neg.f64 a)) (patch (/.f64 b (neg.f64 a)) #<representation binary64>) () ())
#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) #<representation binary64>) () ())
#s(alt (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)) (patch (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) (patch (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) (patch (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 b b (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))) (patch (/.f64 (fma.f64 b b (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))) #<representation binary64>) () ())
#s(alt (fma.f64 b b (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (patch (fma.f64 b b (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #<representation binary64>) () ())
#s(alt (.f64 a #s(literal -4 binary64)) (patch (.f64 a #s(literal -4 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 a (.f64 b b)) (patch (/.f64 a (.f64 b b)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) (patch (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)) #<representation binary64>) () ())
#s(alt (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (patch (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())

Outputs
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) (taylor -inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) (taylor -inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) (taylor -inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) (taylor 0 a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) (taylor inf a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) (taylor inf a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
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#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
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#s(alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) (taylor inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor -inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) (taylor inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) (taylor inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) (taylor inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -2 b) (taylor -inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) (taylor -inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) (taylor inf b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor -inf b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) (taylor -inf b) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) (taylor 0 a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) (taylor inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) (taylor inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) (taylor -inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) (taylor -inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) (taylor -inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)) (patch (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)) (patch (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)) (patch (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)) (patch (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a (pow c 2)) (pow b 3))) (taylor inf c) (#s(alt (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)) (patch (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))) (taylor inf c) (#s(alt (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)) (patch (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)) #<representation binary64>) () ())) ())
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#s(alt (/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 3)) (taylor 0 b) (#s(alt (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)) (patch (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)) #<representation binary64>) () ())) ())
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#s(alt (/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 3)) (taylor 0 b) (#s(alt (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)) (patch (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)) #<representation binary64>) () ())) ())
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#s(alt (/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b) (taylor inf b) (#s(alt (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)) (patch (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b) (taylor inf b) (#s(alt (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)) (patch (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor -inf b) (#s(alt (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)) (patch (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b)) (taylor -inf b) (#s(alt (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)) (patch (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b)) (taylor -inf b) (#s(alt (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)) (patch (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)) #<representation binary64>) () ())) ())
#s(alt (/ c b) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) (patch (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) (patch (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) (patch (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) (patch (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a (pow c 2)) (pow b 3)) (taylor inf c) (#s(alt (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) (patch (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) (taylor inf c) (#s(alt (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) (patch (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) (taylor inf c) (#s(alt (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) (patch (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) (taylor inf c) (#s(alt (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) (patch (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a (pow c 2)) (pow b 3)) (taylor -inf c) (#s(alt (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) (patch (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) (patch (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) (patch (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) #<representation binary64>) () ())) ())
#s(alt (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) (patch (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) #<representation binary64>) () ())) ())
#s(alt (/ c b) (taylor 0 a) (#s(alt (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) (patch (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) #<representation binary64>) () ())) ())
#s(alt (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) (patch (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) #<representation binary64>) () ())) ())
#s(alt (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) (patch (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) #<representation binary64>) () ())) ())
#s(alt (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) (patch (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a (pow c 2)) (pow b 3)) (taylor inf a) (#s(alt (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) (patch (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))) (taylor inf a) (#s(alt (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) (patch (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))) (taylor inf a) (#s(alt (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) (patch (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))) (taylor inf a) (#s(alt (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) (patch (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a (pow c 2)) (pow b 3)) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) (patch (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) (patch (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) (patch (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) (patch (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a (pow c 2)) (pow b 3)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) (patch (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) (patch (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) (patch (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3)) (taylor 0 b) (#s(alt (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) (patch (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) #<representation binary64>) () ())) ())
#s(alt (/ c b) (taylor inf b) (#s(alt (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) (patch (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b) (taylor inf b) (#s(alt (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) (patch (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b) (taylor inf b) (#s(alt (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) (patch (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b) (taylor inf b) (#s(alt (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) (patch (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) #<representation binary64>) () ())) ())
#s(alt (/ c b) (taylor -inf b) (#s(alt (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) (patch (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)) (taylor -inf b) (#s(alt (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) (patch (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)) (taylor -inf b) (#s(alt (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) (patch (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)) (taylor -inf b) (#s(alt (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) (patch (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b) #<representation binary64>) () ())) ())
#s(alt c (taylor 0 c) (#s(alt (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) (patch (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) #<representation binary64>) () ())) ())
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#s(alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) (taylor inf a) (#s(alt (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (patch (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) (taylor inf a) (#s(alt (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (patch (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) (taylor inf a) (#s(alt (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (patch (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (patch (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (patch (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (patch (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (patch (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* a b)) (taylor 0 a) (#s(alt (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -4 (/ (* a c) b)) (* 4 b))) (taylor 0 a) (#s(alt (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 4 b) (* a (+ (* -4 (/ c b)) (* -4 (/ (* a (pow c 2)) (pow b 3))))))) (taylor 0 a) (#s(alt (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 4 b) (* a (+ (* -4 (/ c b)) (* a (+ (* -8 (/ (* a (pow c 3)) (pow b 5))) (* -4 (/ (pow c 2) (pow b 3))))))))) (taylor 0 a) (#s(alt (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (taylor inf a) (#s(alt (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* 2 (* (sqrt (/ c a)) (sqrt -4))) (* 2 (/ b a)))) (taylor inf a) (#s(alt (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* 2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* 2 (/ b a)) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) (taylor inf a) (#s(alt (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* 2 (/ b a)) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))) (taylor inf a) (#s(alt (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* (sqrt (* (pow a 3) c)) (sqrt -1))) (taylor -inf a) (#s(alt (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (* 2 (/ b a)))) (taylor -inf a) (#s(alt (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -2 b) (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)))) (taylor -inf a) (#s(alt (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -2 b) (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a))) a)))) (taylor -inf a) (#s(alt (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (taylor 0 b) (#s(alt (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))) (taylor 0 b) (#s(alt (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* 2 a) (* (sqrt (/ a c)) (/ b (sqrt -4)))))) (taylor 0 b) (#s(alt (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* 2 a) (* b (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))))))) (taylor 0 b) (#s(alt (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* a b)) (taylor inf b) (#s(alt (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -4 (/ (* (pow a 2) c) (pow b 2))) (* 4 a))) (taylor inf b) (#s(alt (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -4 (/ (* (pow a 2) c) (pow b 2))) (+ (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 4 a)))) (taylor inf b) (#s(alt (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (* -8 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -4 (/ (* (pow a 2) c) (pow b 2))) (+ (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 4 a))))) (taylor inf b) (#s(alt (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* 4 (/ (* (pow a 2) c) b)) (taylor -inf b) (#s(alt (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -4 (* (pow a 2) c)) (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 2)))) b)) (taylor -inf b) (#s(alt (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -8 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -4 (* (pow a 2) c)) (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b)) (taylor -inf b) (#s(alt (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -8 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -4 (* (pow a 2) c)) (+ (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* -1 (/ (* a (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4))))) (pow b 6)))))) b)) (taylor -inf b) (#s(alt (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* 4 (* a b)) (taylor 0 c) (#s(alt (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (/ (* (pow a 2) c) b)) (* 4 (* a b))) (taylor 0 c) (#s(alt (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 3))) (* -4 (/ (pow a 2) b))))) (taylor 0 c) (#s(alt (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (+ (* 4 (* a b)) (* c (+ (* -4 (/ (pow a 2) b)) (* c (+ (* -8 (/ (* (pow a 4) c) (pow b 5))) (* -4 (/ (pow a 3) (pow b 3)))))))) (taylor 0 c) (#s(alt (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (taylor inf c) (#s(alt (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (* 2 (/ (* a b) c)))) (taylor inf c) (#s(alt (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* 2 (/ (* a b) c)) (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))))) (taylor inf c) (#s(alt (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* 2 (/ (* a b) c)) (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4))))))) (taylor inf c) (#s(alt (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* (sqrt (* (pow a 3) c)) (sqrt -1))) (taylor -inf c) (#s(alt (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -2 (/ (* a b) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 2 (* a b))) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* a b))) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())) ())

Calls

174 calls:

Time	Variable		Point	Expression
8.0ms	a	@	-inf	(/ (+ (* b b) (+ (* c (* a -4)) (* b b))) (* (* a 2) (+ b (sqrt (+ (* c (* a -4)) (* b b))))))
5.0ms	a	@	inf	(* a -4)
3.0ms	a	@	0	(neg (/ (+ (* (* c c) (/ a (* b b))) c) b))
2.0ms	a	@	inf	(/ b (neg a))
2.0ms	c	@	inf	(/ (+ (* b b) (+ (* c (* a -4)) (* b b))) (* (* a 2) (+ b (sqrt (+ (* c (* a -4)) (* b b))))))

simplify376.0ms (3.5%)

Memory

-30.8MiB live, 563.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 636×	`lower-fma.f64`
7 636×	`lower-fma.f32`
7 258×	`lower-*.f64`
7 258×	`lower-*.f32`
5 760×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1150	14287
1	3851	13920
0	8314	13300

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 686

Calls

Call 1

Inputs
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(* -1 (/ c b))
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b))
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b))
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* a (- (* -1 (/ c (* a b))) (/ (pow c 2) (pow b 3))))
(* a (- (* -1 (/ c (* a b))) (/ (pow c 2) (pow b 3))))
(* a (- (* -1 (/ c (* a b))) (/ (pow c 2) (pow b 3))))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3))))))
(* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3))))))
(* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3))))))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 3))
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 3))
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 3))
(* -1 (/ c b))
(/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b)
(/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b)
(/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b)
(* -1 (/ c b))
(* -1 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b))
(* -1 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b))
(* -1 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b))
(/ c b)
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(/ (* a (pow c 2)) (pow b 3))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(/ (* a (pow c 2)) (pow b 3))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(/ c b)
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
(/ (* a (pow c 2)) (pow b 3))
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))
(/ (* a (pow c 2)) (pow b 3))
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))))
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))))
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))))
(/ (* a (pow c 2)) (pow b 3))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3))
(/ c b)
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)
(/ c b)
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))
c
(* c (+ 1 (/ (* a c) (pow b 2))))
(* c (+ 1 (/ (* a c) (pow b 2))))
(* c (+ 1 (/ (* a c) (pow b 2))))
(/ (* a (pow c 2)) (pow b 2))
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))
(/ (* a (pow c 2)) (pow b 2))
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))
c
(+ c (/ (* a (pow c 2)) (pow b 2)))
(+ c (/ (* a (pow c 2)) (pow b 2)))
(+ c (/ (* a (pow c 2)) (pow b 2)))
(/ (* a (pow c 2)) (pow b 2))
(* a (+ (/ c a) (/ (pow c 2) (pow b 2))))
(* a (+ (/ c a) (/ (pow c 2) (pow b 2))))
(* a (+ (/ c a) (/ (pow c 2) (pow b 2))))
(/ (* a (pow c 2)) (pow b 2))
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2))))))
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2))))))
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2))))))
(/ (* a (pow c 2)) (pow b 2))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2))
c
(+ c (/ (* a (pow c 2)) (pow b 2)))
(+ c (/ (* a (pow c 2)) (pow b 2)))
(+ c (/ (* a (pow c 2)) (pow b 2)))
c
(+ c (/ (* a (pow c 2)) (pow b 2)))
(+ c (/ (* a (pow c 2)) (pow b 2)))
(+ c (/ (* a (pow c 2)) (pow b 2)))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
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(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -1/2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (sqrt -4))) (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* 1/2 (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(* 1/2 (/ b a))
(* b (+ (* 1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a))))
(* b (+ (* -1/2 (/ (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a)))))
(* b (+ (* -1/2 (/ (+ (* -2 (* (pow a 2) (pow c 3))) (+ (* -1 (* (pow a 2) (* (pow c 2) (- (* -2 c) (* -1 c))))) (* a (* c (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (- (* -2 c) (* -1 c))))) (* -1 (* a (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* -2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a))))))
(* 1/2 (/ (pow b 3) (* (pow a 2) c)))
(* -1 (* (pow b 3) (- (* 3/2 (/ 1 (* a (pow b 2)))) (* 1/2 (/ 1 (* (pow a 2) c))))))
(* -1 (* (pow b 3) (- (+ (* -1/2 (/ (+ (* -2 c) (* 3 c)) (pow b 4))) (/ 3/2 (* a (pow b 2)))) (* 1/2 (/ 1 (* (pow a 2) c))))))
(* -1 (* (pow b 3) (- (+ (* -1/2 (/ (+ (* -2 c) (* 3 c)) (pow b 4))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (+ (* -2 c) (* 3 c))))) (+ (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 6 (* a (pow c 2))))) (pow b 6))) (/ 3/2 (* a (pow b 2))))) (* 1/2 (/ 1 (* (pow a 2) c))))))
(* 1/2 (/ b a))
(+ (* -1/2 (/ c b)) (* 1/2 (/ b a)))
(+ (* 1/2 (/ b a)) (* c (- (* -1/2 (* c (+ (* -1 (/ a (pow b 3))) (/ a (pow b 3))))) (* 1/2 (/ 1 b)))))
(+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -1/2 (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (+ (/ (* a (+ (* -1 (/ a (pow b 3))) (/ a (pow b 3)))) (pow b 2)) (/ (pow a 2) (pow b 5)))))) (* -1/2 (+ (* -1 (/ a (pow b 3))) (/ a (pow b 3)))))) (* 1/2 (/ 1 b)))))
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (pow c 2))) (* 1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (pow c 2))) (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* (pow b 2) (* c (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2))))) (pow c 3))) (* 1/2 (/ (- (* 2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (* -1 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* 1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (* -1 (/ (* b c) a)))) (* 1/2 (/ (+ (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (* -1 (/ (* b c) a)))))))) c))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (* -1 (/ (* b c) a))))))))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (* -1 (/ (* b c) a)))))))))))) (* -1/8 (/ (* (pow b 2) (* c (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (* -1 (/ (* b c) a))))) a))) c))) c)) (* 1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (* -1 (/ (* b c) a))))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(* 1/2 (/ b a))
(/ (+ (* 1/2 b) (* 1/2 (* a (- (* -2 (/ c b)) (* -1 (/ c b)))))) a)
(/ (+ (* 1/2 b) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1 (/ c b)))) (pow b 2))) (* -1 (/ (pow c 2) (pow b 3)))))) (* 1/2 (- (* -2 (/ c b)) (* -1 (/ c b))))))) a)
(/ (+ (* 1/2 b) (* a (+ (* 1/2 (- (* -2 (/ c b)) (* -1 (/ c b)))) (* a (+ (* -1/2 (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (+ (* -1 (/ (* (pow c 2) (- (* -2 (/ c b)) (* -1 (/ c b)))) (pow b 4))) (/ (* c (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1 (/ c b)))) (pow b 2))) (* -1 (/ (pow c 2) (pow b 3))))) (pow b 2)))))) (* -1/2 (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1 (/ c b)))) (pow b 2))) (* -1 (/ (pow c 2) (pow b 3)))))))))) a)
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a))) a)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow a 2))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)))) a)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* a (* (pow b 2) (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2))))) (pow a 3))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a))))) a)
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 (/ (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* -1 (* a b))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* -1 (* a b)))) (* -1/2 (/ (+ (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* -1 (* a b)))))))) a))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* -1 (* a b)))))))))))) (* -1/8 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* -1 (* a b))))) c))) a)) (* 1/2 (+ (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* -1 (* a b)))))))))) a)) (* -1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* -1 (* a b))))) a))) a))
(* -4 (* a c))
(+ (* -4 (* a c)) (* 2 (pow b 2)))
(+ (* -4 (* a c)) (* 2 (pow b 2)))
(+ (* -4 (* a c)) (* 2 (pow b 2)))
(* 2 (pow b 2))
(* (pow b 2) (+ 2 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 2 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 2 (* -4 (/ (* a c) (pow b 2)))))
(* 2 (pow b 2))
(* (pow b 2) (+ 2 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 2 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 2 (* -4 (/ (* a c) (pow b 2)))))
(* 2 (pow b 2))
(+ (* -4 (* a c)) (* 2 (pow b 2)))
(+ (* -4 (* a c)) (* 2 (pow b 2)))
(+ (* -4 (* a c)) (* 2 (pow b 2)))
(* -4 (* a c))
(* c (+ (* -4 a) (* 2 (/ (pow b 2) c))))
(* c (+ (* -4 a) (* 2 (/ (pow b 2) c))))
(* c (+ (* -4 a) (* 2 (/ (pow b 2) c))))
(* -4 (* a c))
(* -1 (* c (+ (* -2 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -2 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -2 (/ (pow b 2) c)) (* 4 a))))
(* 2 (pow b 2))
(+ (* -4 (* a c)) (* 2 (pow b 2)))
(+ (* -4 (* a c)) (* 2 (pow b 2)))
(+ (* -4 (* a c)) (* 2 (pow b 2)))
(* -4 (* a c))
(* a (+ (* -4 c) (* 2 (/ (pow b 2) a))))
(* a (+ (* -4 c) (* 2 (/ (pow b 2) a))))
(* a (+ (* -4 c) (* 2 (/ (pow b 2) a))))
(* -4 (* a c))
(* -1 (* a (+ (* -2 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -2 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -2 (/ (pow b 2) a)) (* 4 c))))
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(/ a (pow b 2))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* 4 (* a b))
(* a (+ (* -4 (/ (* a c) b)) (* 4 b)))
(* a (+ (* 4 b) (* a (+ (* -4 (/ c b)) (* -4 (/ (* a (pow c 2)) (pow b 3)))))))
(* a (+ (* 4 b) (* a (+ (* -4 (/ c b)) (* a (+ (* -8 (/ (* a (pow c 3)) (pow b 5))) (* -4 (/ (pow c 2) (pow b 3)))))))))
(* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(* (pow a 2) (+ (* 2 (* (sqrt (/ c a)) (sqrt -4))) (* 2 (/ b a))))
(* (pow a 2) (+ (* 2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* 2 (/ b a)) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(* (pow a 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* 2 (/ b a)) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))))
(* -4 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (* 2 (/ b a))))
(* (pow a 2) (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -2 b) (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a))))
(* (pow a 2) (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -2 b) (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a))) a))))
(* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(+ (* 2 (* a b)) (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4))))
(+ (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* 2 a) (* (sqrt (/ a c)) (/ b (sqrt -4))))))
(+ (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* 2 a) (* b (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))))))
(* 4 (* a b))
(* b (+ (* -4 (/ (* (pow a 2) c) (pow b 2))) (* 4 a)))
(* b (+ (* -4 (/ (* (pow a 2) c) (pow b 2))) (+ (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 4 a))))
(* b (+ (* -8 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -4 (/ (* (pow a 2) c) (pow b 2))) (+ (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 4 a)))))
(* 4 (/ (* (pow a 2) c) b))
(* -1 (/ (+ (* -4 (* (pow a 2) c)) (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -8 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -4 (* (pow a 2) c)) (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -8 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -4 (* (pow a 2) c)) (+ (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* -1 (/ (* a (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4))))) (pow b 6)))))) b))
(* 4 (* a b))
(+ (* -4 (/ (* (pow a 2) c) b)) (* 4 (* a b)))
(+ (* 4 (* a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 3))) (* -4 (/ (pow a 2) b)))))
(+ (* 4 (* a b)) (* c (+ (* -4 (/ (pow a 2) b)) (* c (+ (* -8 (/ (* (pow a 4) c) (pow b 5))) (* -4 (/ (pow a 3) (pow b 3))))))))
(* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(* c (+ (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (* 2 (/ (* a b) c))))
(* c (+ (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* 2 (/ (* a b) c)) (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4))))))
(* c (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* 2 (/ (* a b) c)) (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))))))
(* -4 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* -1 (* c (+ (* -2 (/ (* a b) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 2 (* a b))) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* a b))) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))

Outputs
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(.f64 c (fma.f64 (neg.f64 a) (/.f64 c (.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(.f64 c (fma.f64 c (-.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 c (.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (.f64 b (.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 c (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) (.f64 b a)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (neg.f64 (/.f64 a (.f64 b (.f64 b b))))) (/.f64 #s(literal -1 binary64) b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(.f64 c (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 #s(literal -1/2 binary64) (/.f64 b (*.f64 c a)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 b (.f64 c a)) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 b (.f64 c a)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 b (.f64 c a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(neg.f64 (.f64 c (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (.f64 #s(literal -1/2 binary64) b) a)) c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) b) a) (/.f64 (fma.f64 #s(literal -1/128 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (pow.f64 a #s(literal 5 binary64))))) (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c (.f64 a (*.f64 a a))))))) c)) c)) (neg.f64 c))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b (*.f64 b b))) (/.f64 c b)))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(fma.f64 a (-.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 a (.f64 c (.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 c c) (.f64 b (*.f64 b b)))) (/.f64 c (neg.f64 b)))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) b) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 c (neg.f64 c)) (.f64 b (.f64 b b)))) (/.f64 c (neg.f64 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) b) a))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 #s(literal -1/16 binary64) (.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 b #s(literal 1/2 binary64))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (.f64 b #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/128 binary64) (.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c)))))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))))) a)) a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) b) a))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal -1/2 binary64) a)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (sqrt.f64 #s(literal -4 binary64))) (.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))))) (/.f64 #s(literal -1/2 binary64) a)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c) (neg.f64 b))
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 a a) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 a a) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64))) (.f64 a (pow.f64 b #s(literal 6 binary64))))) b)
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(neg.f64 (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b)))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(.f64 (-.f64 (fma.f64 (neg.f64 a) (/.f64 (.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) a)) (/.f64 c (*.f64 b b))) (neg.f64 b))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 a a) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 6 binary64))) (-.f64 (fma.f64 (neg.f64 a) (/.f64 (.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) a)) (/.f64 c (*.f64 b b)))) (neg.f64 b))
(* -2 (/ (* a c) b))
(.f64 #s(literal -2 binary64) (/.f64 (.f64 c a) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(.f64 c (.f64 #s(literal -2 binary64) (fma.f64 (.f64 a a) (/.f64 c (.f64 b (*.f64 b b))) (/.f64 a b))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 a a) (.f64 b (.f64 b b))) (.f64 #s(literal -4 binary64) (/.f64 (.f64 c (.f64 a (.f64 a a))) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal -2 binary64) a) b)))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 c (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) b) (/.f64 (.f64 #s(literal -4 binary64) (.f64 a (.f64 a a))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (.f64 b (.f64 b b)))) (/.f64 (*.f64 #s(literal -2 binary64) a) b)))
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 c a)))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(.f64 c (-.f64 (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c)))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(.f64 c (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c)))))) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c))))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(.f64 c (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c)))))) (-.f64 (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(.f64 (neg.f64 c) (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b c)))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 b)) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(neg.f64 (.f64 c (-.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/64 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 c)) b) c))))
(* -2 (/ (* a c) b))
(.f64 #s(literal -2 binary64) (/.f64 (.f64 c a) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(.f64 a (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (.f64 c c) (.f64 b (*.f64 b b))) (/.f64 c b))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(.f64 a (fma.f64 a (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (*.f64 (/.f64 c b) #s(literal -2 binary64))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) b) (/.f64 (.f64 #s(literal -4 binary64) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (*.f64 (/.f64 c b) #s(literal -2 binary64))))
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 c a)))
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b
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b
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(.f64 c (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (*.f64 c c)))))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(neg.f64 (.f64 c (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b (neg.f64 c)))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) b) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(neg.f64 (.f64 c (-.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (/.f64 (-.f64 b (/.f64 (fma.f64 #s(literal -1/64 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64)))))) c)) c))))
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(+ (* -2 (/ (* a c) b)) (* 2 b))
(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 c a) b) (.f64 b #s(literal 2 binary64)))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 a (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (.f64 c c) (.f64 b (.f64 b b))) (/.f64 c b))) (*.f64 b #s(literal 2 binary64)))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (.f64 (/.f64 c b) #s(literal -2 binary64))) (*.f64 b #s(literal 2 binary64)))
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 c a)))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(.f64 a (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (*.f64 a a)))))) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (neg.f64 a) (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b (neg.f64 a))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (neg.f64 a) (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) b) (neg.f64 a))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (neg.f64 a) (-.f64 (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 b (/.f64 (fma.f64 (.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c)))))) #s(literal -1/64 binary64) (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))))) a)) a)))
(* 4 (* a b))
(.f64 (.f64 a #s(literal 4 binary64)) b)
(* a (+ (* -4 (/ (* a c) b)) (* 4 b)))
(.f64 a (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 c a) b) (*.f64 b #s(literal 4 binary64))))
(* a (+ (* 4 b) (* a (+ (* -4 (/ c b)) (* -4 (/ (* a (pow c 2)) (pow b 3)))))))
(.f64 a (fma.f64 a (.f64 #s(literal -4 binary64) (fma.f64 a (/.f64 (.f64 c c) (.f64 b (.f64 b b))) (/.f64 c b))) (.f64 b #s(literal 4 binary64))))
(* a (+ (* 4 b) (* a (+ (* -4 (/ c b)) (* a (+ (* -8 (/ (* a (pow c 3)) (pow b 5))) (* -4 (/ (pow c 2) (pow b 3)))))))))
(.f64 a (fma.f64 a (fma.f64 (/.f64 c b) #s(literal -4 binary64) (.f64 a (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 c c) (.f64 b (.f64 b b))) (/.f64 (.f64 #s(literal -8 binary64) (.f64 a (.f64 c (.f64 c c)))) (pow.f64 b #s(literal 5 binary64)))))) (.f64 b #s(literal 4 binary64))))
(* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 c (.f64 a (*.f64 a a))))))
(* (pow a 2) (+ (* 2 (* (sqrt (/ c a)) (sqrt -4))) (* 2 (/ b a))))
(.f64 (.f64 a a) (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a))))
(* (pow a 2) (+ (* 2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* 2 (/ b a)) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(.f64 (.f64 a a) (fma.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (*.f64 a a))))))))
(* (pow a 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* 2 (/ b a)) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))))
(.f64 (.f64 a a) (fma.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (fma.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))))))
(* -4 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(.f64 #s(literal -4 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c (.f64 a (*.f64 a a))))))
(* (pow a 2) (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (* 2 (/ b a))))
(.f64 (.f64 a a) (fma.f64 #s(literal -4 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 b #s(literal 2 binary64)) a)))
(* (pow a 2) (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -2 b) (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a))))
(.f64 (.f64 a a) (-.f64 (.f64 #s(literal -4 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b #s(literal -2 binary64))) a)))
(* (pow a 2) (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -2 b) (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a))) a))))
(.f64 (.f64 a a) (-.f64 (.f64 #s(literal -4 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (.f64 b #s(literal -2 binary64)) (/.f64 (fma.f64 (.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c)))))) #s(literal 1/32 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))))) a)) a)))
(* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 c (.f64 a (*.f64 a a))))))
(+ (* 2 (* a b)) (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4))))
(.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 c (.f64 a (.f64 a a)))) (*.f64 b a)))
(+ (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* 2 a) (* (sqrt (/ a c)) (/ b (sqrt -4))))))
(fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 c (.f64 a (.f64 a a))))) (.f64 b (fma.f64 (sqrt.f64 (/.f64 a c)) (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (.f64 a #s(literal 2 binary64)))))
(+ (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* 2 a) (* b (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (/.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) (.f64 a #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 c (.f64 a (.f64 a a)))))))
(* 4 (* a b))
(.f64 (.f64 a #s(literal 4 binary64)) b)
(* b (+ (* -4 (/ (* (pow a 2) c) (pow b 2))) (* 4 a)))
(.f64 b (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 c (.f64 a a)) (.f64 b b)) (*.f64 a #s(literal 4 binary64))))
(* b (+ (* -4 (/ (* (pow a 2) c) (pow b 2))) (+ (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 4 a))))
(.f64 b (fma.f64 #s(literal -4 binary64) (fma.f64 (.f64 a a) (/.f64 c (.f64 b b)) (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (.f64 a #s(literal 4 binary64))))
(* b (+ (* -8 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -4 (/ (* (pow a 2) c) (pow b 2))) (+ (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 4 a)))))
(.f64 b (fma.f64 #s(literal -8 binary64) (/.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -4 binary64) (fma.f64 (.f64 a a) (/.f64 c (.f64 b b)) (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 a #s(literal 4 binary64)))))
(* 4 (/ (* (pow a 2) c) b))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 c (*.f64 a a))) b)
(* -1 (/ (+ (* -4 (* (pow a 2) c)) (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 2)))) b))
(/.f64 (.f64 #s(literal -4 binary64) (fma.f64 c (.f64 a a) (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c c)) (*.f64 b b)))) (neg.f64 b))
(* -1 (/ (+ (* -8 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -4 (* (pow a 2) c)) (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b))
(/.f64 (fma.f64 #s(literal -4 binary64) (fma.f64 c (.f64 a a) (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c c)) (.f64 b b))) (.f64 #s(literal -8 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 (.f64 c (.f64 c c)) (pow.f64 b #s(literal 4 binary64)))))) (neg.f64 b))
(* -1 (/ (+ (* -8 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -4 (* (pow a 2) c)) (+ (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* -1 (/ (* a (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4))))) (pow b 6)))))) b))
(neg.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 (.f64 c (.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (-.f64 (.f64 #s(literal -4 binary64) (fma.f64 c (.f64 a a) (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c c)) (.f64 b b)))) (/.f64 (.f64 a (.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64))) (pow.f64 b #s(literal 6 binary64))))) b))
(* 4 (* a b))
(.f64 (.f64 a #s(literal 4 binary64)) b)
(+ (* -4 (/ (* (pow a 2) c) b)) (* 4 (* a b)))
(fma.f64 #s(literal -4 binary64) (/.f64 (.f64 c (.f64 a a)) b) (.f64 (.f64 a #s(literal 4 binary64)) b))
(+ (* 4 (* a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 3))) (* -4 (/ (pow a 2) b)))))
(fma.f64 c (.f64 #s(literal -4 binary64) (fma.f64 (.f64 a (.f64 a a)) (/.f64 c (.f64 b (.f64 b b))) (/.f64 (.f64 a a) b))) (.f64 (.f64 a #s(literal 4 binary64)) b))
(+ (* 4 (* a b)) (* c (+ (* -4 (/ (pow a 2) b)) (* c (+ (* -8 (/ (* (pow a 4) c) (pow b 5))) (* -4 (/ (pow a 3) (pow b 3))))))))
(fma.f64 c (fma.f64 c (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a (.f64 a a)) (.f64 b (.f64 b b))) (.f64 #s(literal -8 binary64) (/.f64 (.f64 c (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (.f64 #s(literal -4 binary64) (.f64 a a)) b)) (.f64 (.f64 a #s(literal 4 binary64)) b))
(* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 c (.f64 a (*.f64 a a))))))
(* c (+ (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (* 2 (/ (* a b) c))))
(.f64 c (.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c)) (/.f64 (*.f64 b a) c))))
(* c (+ (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* 2 (/ (* a b) c)) (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4))))))
(.f64 c (fma.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c)) (/.f64 (.f64 b a) c)) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 a (.f64 c (.f64 c c)))))))
(* c (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* 2 (/ (* a b) c)) (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))))))
(.f64 c (fma.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (pow.f64 c #s(literal 5 binary64)))))) (fma.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c)) (/.f64 (.f64 b a) c)) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 a (.f64 c (*.f64 c c))))))))
(* -4 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(.f64 #s(literal -4 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c (.f64 a (*.f64 a a))))))
(* -1 (* c (+ (* -2 (/ (* a b) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 b a) c) (.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 2 (* a b))) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(neg.f64 (.f64 c (-.f64 (.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))) (.f64 #s(literal 2 binary64) (.f64 b a))) c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* a b))) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(neg.f64 (.f64 c (-.f64 (.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c)))) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (.f64 b a)) (/.f64 (fma.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 (.f64 c a)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) c)) c))))

rewrite371.0ms (3.5%)

Memory

16.1MiB live, 607.8MiB allocated

Rules

5 230×	`lower-fma.f32`
5 222×	`lower-fma.f64`
4 420×	`lower-/.f32`
4 410×	`lower-/.f64`
4 314×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	256
0	70	254
1	294	250
2	2064	250
0	8418	250

Stop Event

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

Counts

22 → 1 172

Calls

Call 1

Inputs
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
(-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b)
(sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))
(fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
(/.f64 b (neg.f64 a))
(neg.f64 a)
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)))
(neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))
(/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)
(fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c)
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(neg.f64 b)
(sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))
(/.f64 (fma.f64 b b (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))
(fma.f64 b b (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))
(*.f64 a #s(literal -4 binary64))
(/.f64 a (*.f64 b b))
(fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))
(+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
(.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))

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

eval306.0ms (2.9%)

Memory: 32.3MiB live, 680.1MiB allocated
Compiler: Compiled 83 190 to 4 909 computations (94.1% saved)

prune356.0ms (3.3%)

Memory

19.0MiB live, 870.5MiB allocated

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	2 188	18	2 206
Fresh	7	5	12
Picked	3	2	5
Done	0	0	0
Total	2 198	25	2 223

Accuracy

90.9%

Counts

2 223 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.4%	(fma.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
	22.7%	(/.f64 (fma.f64 b b (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 (.f64 a #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) b)))
✓	23.5%	(/.f64 (fma.f64 b b (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))
	39.2%	(/.f64 (-.f64 (/.f64 (-.f64 (.f64 b b) (.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (/.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
	50.7%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
	33.5%	(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* c (* a -4)) (* b b)) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a))
	44.8%	(/.f64 (-.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b) (.f64 #s(literal 2 binary64) a))
▶	33.2%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
	42.7%	(/.f64 #s(approx (+ (* b b) (+ (* c (* a -4)) (* b b))) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))
	28.1%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
	32.0%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))
▶	31.9%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))) a))
▶	50.7%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))) b))
▶	37.1%	#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (/.f64 c (neg.f64 b)))
	2.3%	#s(approx (/ (+ (* b b) (+ (* c (* a -4)) (* b b))) (* (* a 2) (+ b (sqrt (+ (* c (* a -4)) (* b b)))))) (fma.f64 (/.f64 c b) #s(literal -1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) a)))
	2.3%	#s(approx (/ (+ (* b b) (+ (* c (* a -4)) (* b b))) (* (* a 2) (+ b (sqrt (+ (* c (* a -4)) (* b b)))))) (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 c #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) b)) (/.f64 (.f64 b #s(literal 1/2 binary64)) a)))
	2.3%	#s(approx (/ (+ (* b b) (+ (* c (* a -4)) (* b b))) (* (* a 2) (+ b (sqrt (+ (* c (* a -4)) (* b b)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 c (neg.f64 b)) a b)) a))
	6.7%	#s(approx (/ (+ (* b b) (+ (* c (* a -4)) (* b b))) (* (* a 2) (+ b (sqrt (+ (* c (* a -4)) (* b b)))))) (neg.f64 (.f64 (.f64 b (.f64 b b)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 3/2 binary64) (.f64 a (.f64 b b)))) (/.f64 #s(literal -1/2 binary64) (.f64 c (*.f64 a a)))))))
▶	31.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a))))
	24.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 a b)) (.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 a b))))
✓	32.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
	32.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 b))))
	32.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
	35.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 c a) (.f64 b b)) c c) b)))
	11.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 #s(approx (/ (+ (* (* c c) (/ a (* b b))) c) b) (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))))))

Compiler

Compiled 944 to 549 computations (41.8% saved)

simplify144.0ms (1.4%)

Memory

-30.5MiB live, 205.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))
cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))) a)
cost-diff	384	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))) a))
cost-diff	0	(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
cost-diff	128	(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))))
cost-diff	0	(*.f64 b b)
cost-diff	0	(/.f64 c (*.f64 b b))
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a))))
cost-diff	640	(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 c (neg.f64 b))
cost-diff	0	#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (/.f64 c (neg.f64 b)))
cost-diff	0	(sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))
cost-diff	0	(-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) a)
cost-diff	0	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))) b))

Rules

3 872×	`lower-fma.f32`
3 868×	`lower-fma.f64`
3 164×	`lower-*.f32`
3 150×	`lower-*.f64`
1 486×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	318
0	75	318
1	130	306
2	234	302
3	506	298
4	840	298
5	1497	298
6	3608	298
7	5471	298
8	7081	298
9	7986	298
0	8020	298

Stop Event

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

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))) b))
(/.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
(-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b)
(sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))
(fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))
c
(*.f64 a #s(literal -4 binary64))
#s(literal -4 binary64)
(*.f64 b b)
b
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (/.f64 c (neg.f64 b)))
(/.f64 c (neg.f64 b))
c
(neg.f64 b)
b
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a))))
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
b
(/.f64 c (*.f64 b b))
c
(*.f64 b b)
(/.f64 b (neg.f64 a))
(neg.f64 a)
a
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))))
(neg.f64 b)
b
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))
#s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))
(.f64 a (.f64 c #s(literal -4 binary64)))
a
(*.f64 c #s(literal -4 binary64))
c
#s(literal -4 binary64)
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))) a))
#s(literal 1/2 binary64)
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))) a)
(/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))
#s(literal 1 binary64)
(+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
b
(sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))
(fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))
c
(*.f64 a #s(literal -4 binary64))
a
#s(literal -4 binary64)
(*.f64 b b)

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

localize210.0ms (2%)

Memory

2.8MiB live, 342.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.5418084997528259	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))) a))
accuracy	2.2719227327277927	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))) a)
accuracy	12.022610307711242	(+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
accuracy	25.051515007094324	(sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))
accuracy	3.6193049239494193	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
accuracy	14.029512282696162	(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))))
accuracy	25.051515007094302	(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))
accuracy	40.27417961910649	#s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))
accuracy	0	(neg.f64 a)
accuracy	4.494578692338107	(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
accuracy	7.355594563864916	(/.f64 c (*.f64 b b))
accuracy	43.3324746617334	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a))))
accuracy	0	(/.f64 c (neg.f64 b))
accuracy	0	(neg.f64 b)
accuracy	40.25783493648236	#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (/.f64 c (neg.f64 b)))
accuracy	0.0078125	(fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))
accuracy	3.6974299239494193	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))) b))
accuracy	14.029512282696162	(-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b)
accuracy	25.051515007094324	(sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))

Samples

46.0ms	66×	2	valid
43.0ms	77×	1	valid
23.0ms	92×	0	valid
16.0ms	21×	3	valid

Compiler

Compiled 291 to 39 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-mult: 25.0ms (30.5% of total)

ival-div: 21.0ms (25.6% of total)

adjust: 13.0ms (15.8% of total)

ival-add: 9.0ms (11% of total)

ival-sqrt: 7.0ms (8.5% of total)

ival-sub: 4.0ms (4.9% of total)

ival-neg: 2.0ms (2.4% of total)

exact: 1.0ms (1.2% of total)

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

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

series55.0ms (0.5%)

Memory

-17.9MiB live, 103.2MiB allocated

Counts

21 → 636

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) a) (patch (/.f64 #s(literal 1/2 binary64) a) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (/.f64 c (neg.f64 b))) (patch #s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (/.f64 c (neg.f64 b))) #<representation binary64>) () ())
#s(alt (/.f64 c (neg.f64 b)) (patch (/.f64 c (neg.f64 b)) #<representation binary64>) () ())
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())
#s(alt (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b (neg.f64 a))) (patch (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b (neg.f64 a))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b (neg.f64 a)))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))) #<representation binary64>) () ())
#s(alt (/.f64 c (.f64 b b)) (patch (/.f64 c (.f64 b b)) #<representation binary64>) () ())
#s(alt (.f64 b b) (patch (.f64 b b) #<representation binary64>) () ())
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) (patch (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) a)) (patch (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) a)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) a) (patch (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) a) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #<representation binary64>) () ())
#s(alt (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (patch (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) #<representation binary64>) () ())
#s(alt (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (patch (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) #<representation binary64>) () ())
#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())
#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())

Outputs
#s(alt (* -1 (/ c b)) (taylor 0 a) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) (taylor 0 a) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf a) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) (taylor inf a) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) (taylor inf a) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) (taylor -inf a) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b)) #<representation binary64>) () ())) ())
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#s(alt (/ 1/2 a) (taylor 0 a) (#s(alt (/.f64 #s(literal 1/2 binary64) a) (patch (/.f64 #s(literal 1/2 binary64) a) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 a) (taylor 0 a) (#s(alt (/.f64 #s(literal 1/2 binary64) a) (patch (/.f64 #s(literal 1/2 binary64) a) #<representation binary64>) () ())) ())
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#s(alt (/ 1/2 a) (taylor inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) a) (patch (/.f64 #s(literal 1/2 binary64) a) #<representation binary64>) () ())) ())
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#s(alt (/ 1/2 a) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) a) (patch (/.f64 #s(literal 1/2 binary64) a) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 a) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) a) (patch (/.f64 #s(literal 1/2 binary64) a) #<representation binary64>) () ())) ())
#s(alt (/ 1/2 a) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) a) (patch (/.f64 #s(literal 1/2 binary64) a) #<representation binary64>) () ())) ())
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#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
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#s(alt (* -2 (/ (* a c) b)) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor -inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) (taylor -inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
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#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf c) (#s(alt (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) (taylor -inf c) (#s(alt (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) (taylor -inf c) (#s(alt (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf a) (#s(alt (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) (taylor inf a) (#s(alt (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) (taylor inf a) (#s(alt (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor 0 b) (#s(alt (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) (taylor 0 b) (#s(alt (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) (taylor 0 b) (#s(alt (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt b (taylor inf b) (#s(alt (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) (taylor inf b) (#s(alt (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) (taylor inf b) (#s(alt (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 b) (taylor -inf b) (#s(alt (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (patch (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #<representation binary64>) () ())) ())
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#s(alt (* -1 a) (taylor inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor -inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor -inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor -inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -1 a) (taylor -inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor 0 b) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (pow b 2) (* 4 (* a c))) (taylor 0 b) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (pow b 2) (* 4 (* a c))) (taylor 0 b) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (pow b 2) (* 4 (* a c))) (taylor 0 b) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor -inf b) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor -inf b) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor -inf b) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 a) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 a) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 a) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 a) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor inf a) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ (pow b 2) a) (* 4 c))) (taylor inf a) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ (pow b 2) a) (* 4 c))) (taylor inf a) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* a (- (/ (pow b 2) a) (* 4 c))) (taylor inf a) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor -inf a) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) (taylor -inf a) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) (taylor -inf a) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) (taylor -inf a) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 c) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor inf c) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ (pow b 2) c) (* 4 a))) (taylor inf c) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ (pow b 2) c) (* 4 a))) (taylor inf c) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (/ (pow b 2) c) (* 4 a))) (taylor inf c) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor -inf c) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) (taylor -inf c) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) (taylor -inf c) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) (taylor -inf c) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (patch #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #<representation binary64>) () ())) ())

Calls

159 calls:

Time	Variable		Point	Expression
3.0ms	b	@	inf	(/ c (* b b))
1.0ms	a	@	-inf	(* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a)
1.0ms	c	@	inf	(* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a)
1.0ms	a	@	inf	(* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a)
1.0ms	c	@	-inf	(/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b)))))

simplify303.0ms (2.8%)

Memory

20.3MiB live, 364.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 024×	`lower-*.f64`
7 024×	`lower-*.f32`
6 664×	`lower-fma.f64`
6 664×	`lower-fma.f32`
4 616×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1154	13167
1	3820	12803
0	8084	12297

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 630

Calls

Call 1

Inputs
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(/ c b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(/ c b)
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(/ b a)
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))
(* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))
(* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(/ c b)
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))
(/ b a)
(+ (* -1 (/ c b)) (/ b a))
(+ (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (/ b a))
(+ (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (/ b a))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))
(* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c))))))
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* 1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ b a)
(/ (+ b (* -1 (/ (* a c) b))) a)
(/ (+ b (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ b (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* -1/2 b)) a)))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(+ (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(* 1/2 (/ a b))
(/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b)
(/ (- (+ (* 1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b)
(/ (- (+ (* -1 (/ (+ (* -2 (* (pow a 4) (pow c 3))) (* -1/2 (* (pow a 4) (pow c 3)))) (pow b 6))) (* 1/2 a)) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b)
(* 1/2 (/ b c))
(* -1 (* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))))
(* -1 (* b (- (* -1 (/ (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c))) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))))
(* -1 (* b (- (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) c)) (* 1/2 (* (pow a 2) c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (* (pow a 3) (pow c 2)))) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 4))) (+ (* -1/2 (/ a (pow b 2))) (+ (* 1/2 (/ (* (pow a 2) c) (pow b 4))) (* 1/2 (/ 1 c))))))))
(* 1/2 (/ a b))
(+ (* 1/2 (/ a b)) (* 1/2 (/ (* (pow a 2) c) (pow b 3))))
(+ (* 1/2 (/ a b)) (* c (- (/ (* (pow a 3) c) (pow b 5)) (* -1/2 (/ (pow a 2) (pow b 3))))))
(+ (* 1/2 (/ a b)) (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7)))))) (* -1 (/ (pow a 3) (pow b 5))))) (* -1/2 (/ (pow a 2) (pow b 3))))))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(/ (+ (* -1 (/ b (pow (sqrt -4) 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (/ b (pow (sqrt -4) 2))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4))))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (pow (sqrt -4) 2))))) c)
(* -1/2 (* (sqrt (/ a c)) (sqrt -1)))
(* -1 (/ (+ (* -1/4 b) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* -1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) c) a))) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/4 (* b c))) c)) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c))
(* 1/2 (/ a b))
(* a (+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(* a (+ (* a (- (/ (* a (pow c 2)) (pow b 5)) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b))))
(* a (+ (* a (- (* a (- (* -1 (* a (+ (* -2 (/ (pow c 3) (pow b 7))) (* -1/2 (/ (pow c 3) (pow b 7)))))) (* -1 (/ (pow c 2) (pow b 5))))) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b))))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (/ b (* c (pow (sqrt -4) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4))))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (* c (pow (sqrt -4) 2))))))
(* -1/2 (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* 1/4 (/ b c)))
(+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))))))) (* 1/32 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))
(+ (* -1 (/ b (* a (* c (pow (sqrt -4) 2))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(+ (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(/ 1/2 b)
(/ (+ 1/2 (* 1/2 (/ (* a c) (pow b 2)))) b)
(/ (- (+ 1/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2)))) b)
(/ (- (+ 1/2 (* -1 (/ (+ (* -2 (* (pow a 3) (pow c 3))) (* -1/2 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2))))) b)
(* 1/2 (/ b (* a c)))
(* -1 (* b (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c))))))
(* -1 (* b (- (+ (* -1 (/ (+ (* -1 (* a c)) (* 1/2 (* a c))) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 1/2 (/ 1 (* a c))))))
(* -1 (* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* a c)) (* 1/2 (* a c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* (pow a 2) (pow c 2)))) (pow b 6))) (* 1/2 (/ 1 (pow b 2)))) (+ (* -1 (/ (* a c) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (* a c))))))))
(/ 1/2 b)
(+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))
(+ (* c (- (/ (* (pow a 2) c) (pow b 5)) (* -1/2 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))
(+ (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))) (* -1 (/ (pow a 2) (pow b 5))))) (* -1/2 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))
(/ (+ (* -1 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (/ b (* a (pow (sqrt -4) 2)))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4))))) (pow c 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (* a (pow (sqrt -4) 2)))))) c)
(* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(* -1 (/ (+ (* -1/4 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c))
(/ 1/2 b)
(+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))
(+ (* a (- (/ (* a (pow c 2)) (pow b 5)) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b)))
(+ (* a (- (* a (- (* -1 (* a (+ (* -2 (/ (pow c 3) (pow b 7))) (* -1/2 (/ (pow c 3) (pow b 7)))))) (* -1 (/ (pow c 2) (pow b 5))))) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b)))
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))
(/ (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) a)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (/ b (* c (pow (sqrt -4) 2)))) a)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4))))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (* c (pow (sqrt -4) 2)))))) a)
(* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(* -1 (/ (+ (* -1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -4 (* a c))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -4 (* a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* -4 (* a c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))

Outputs
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b (*.f64 b b))) (/.f64 c b)))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(fma.f64 a (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 a (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 c c) (neg.f64 (.f64 b (.f64 b b))))) (/.f64 c (neg.f64 b)))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) b) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 c c) (neg.f64 (.f64 b (.f64 b b))))) (/.f64 c (neg.f64 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 b a)))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b #s(literal 1/2 binary64))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (.f64 b #s(literal 1/2 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c)))))) (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))))) a)) a)))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(.f64 c (fma.f64 (neg.f64 a) (/.f64 c (.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(.f64 c (fma.f64 c (-.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 c (.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 a (.f64 b (.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 c (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) (.f64 b a)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (neg.f64 a) (.f64 b (.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(.f64 c (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (/.f64 (.f64 b #s(literal -1/2 binary64)) (*.f64 c a))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 b (.f64 c a)) (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a)))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 b (.f64 c a)) (fma.f64 #s(literal -1/16 binary64) (.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a)))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 b (.f64 c a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))))) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 b a))) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(neg.f64 (.f64 c (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 (fma.f64 #s(literal -1/128 binary64) (.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (pow.f64 a #s(literal 5 binary64)))))) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c (.f64 a (*.f64 a a))))))) c)) c))))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
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b
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(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
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(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 c a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
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(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
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(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 c a)))
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b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
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(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
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(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
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(* -1 b)
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(* -1 (/ c b))
(/.f64 c (neg.f64 b))
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(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
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(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
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(.f64 (neg.f64 c) (-.f64 (.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(.f64 (neg.f64 c) (-.f64 (.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)))

rewrite295.0ms (2.8%)

Memory

-0.6MiB live, 397.1MiB allocated

Rules

5 558×	`lower-/.f32`
5 544×	`lower-/.f64`
4 900×	`lower-*.f32`
4 886×	`lower-*.f64`
3 854×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	251
0	75	252
1	266	239
2	2043	231
0	9334	231

Stop Event

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

Counts

21 → 1 140

Calls

Call 1

Inputs
(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))) b))
(/.f64 #s(literal 1/2 binary64) a)
(-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b)
(sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (/.f64 c (neg.f64 b)))
(/.f64 c (neg.f64 b))
(neg.f64 b)
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a))))
(/.f64 c (*.f64 b b))
(*.f64 b b)
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))
(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))) a))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))) a)
(/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))
(+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
(fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))
(neg.f64 a)
#s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))

Outputs
(+.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 b (.f64 a #s(literal 2 binary64)))))
(+.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64))) (.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a)))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b)))
(exp.f64 (.f64 (log.f64 (/.f64 a (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) b)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 a #s(literal 2 binary64))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 b (.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 a #s(literal -2 binary64))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) b) (.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))))) (.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (.f64 b (.f64 b b)) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))))) (.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) #s(literal 0 binary64)) (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (.f64 (.f64 a #s(literal 2 binary64)) (fma.f64 b b (+.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) (.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))))))) (/.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a #s(literal 2 binary64)) (fma.f64 b b (+.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) (.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b)))))))))
(-.f64 (/.f64 (.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (.f64 (.f64 a #s(literal 2 binary64)) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))))) (/.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a #s(literal 2 binary64)) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(-.f64 (/.f64 (.f64 b b) (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))))) (/.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b)))))))
(-.f64 (/.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))))) (/.f64 (.f64 b b) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b)))))))
(-.f64 (/.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64))) (.f64 (.f64 a #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 a #s(literal 2 binary64)) b) (.f64 (.f64 a #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64))))) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64))) (fma.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64))))))) (/.f64 (/.f64 (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))) #s(literal 8 binary64)) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64))) (fma.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64))) (/.f64 b (*.f64 a #s(literal 2 binary64))))))))
(-.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) (/.f64 b (.f64 a #s(literal 2 binary64))))) (/.f64 (.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) (/.f64 b (.f64 a #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) (*.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b)))
(fma.f64 (/.f64 (pow.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a)))
(fma.f64 (/.f64 (pow.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) #s(literal 1/4 binary64)) a) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) #s(literal 1/4 binary64)) a) (*.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a)))
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) b) (*.f64 a #s(literal -2 binary64))))
(neg.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (*.f64 a #s(literal 2 binary64))))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b))) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b))) b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b))) b))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b))) b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b))) b))) #s(literal 1 binary64))))
(/.f64 (fma.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 b (.f64 b b))) (.f64 (.f64 a #s(literal 2 binary64)) (fma.f64 b b (+.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) (.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b))))))))
(/.f64 (fma.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 b (.f64 b b))) (.f64 (.f64 a #s(literal 2 binary64)) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 (-.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) (.f64 b b)) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b))) b)) a)
(/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64))) (.f64 (.f64 a #s(literal 2 binary64)) b)) (.f64 (.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (.f64 b b) (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) #s(literal 1 binary64)) (.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (.f64 a #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 b (.f64 b b))) #s(literal 1 binary64)) (.f64 (fma.f64 b b (+.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) (.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))))) (.f64 a #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 b (.f64 b b))) #s(literal 1 binary64)) (.f64 (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (*.f64 a #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) (.f64 b b)) #s(literal 1 binary64)) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (.f64 a #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 b (.f64 b b)))) (.f64 a (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) (.f64 b b))) (.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 b (.f64 b b)))) (.f64 (.f64 a #s(literal 2 binary64)) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) (.f64 b b))) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))))))
(/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 b (.f64 b b)))) (.f64 (neg.f64 a) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))))
(/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) (.f64 b b))) (.f64 (neg.f64 a) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 (.f64 (fma.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 b (.f64 b b))) #s(literal 1/2 binary64)) (.f64 (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) a))
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(pow.f64 (/.f64 (-.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (.f64 b b)) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c)) (neg.f64 (.f64 b (.f64 b (*.f64 b b)))))) #s(literal -1 binary64))
(.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b))))
(.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 #s(literal 64 binary64) (.f64 a (.f64 a a))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 c (.f64 a #s(literal 4 binary64))) (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) (.f64 b (.f64 b (.f64 b b))))))
(.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 #s(literal 64 binary64) (.f64 a (.f64 a a))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c)) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))))))
(.f64 (fma.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c)) (neg.f64 (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (.f64 b b))))
(.f64 (.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))))
(.f64 (pow.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 #s(literal 64 binary64) (.f64 a (.f64 a a))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c)) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 #s(literal 64 binary64) (.f64 a (.f64 a a))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 c (.f64 a #s(literal 4 binary64))) (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c)) (neg.f64 (.f64 b (.f64 b (.f64 b b))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (.f64 b b))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)) (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (neg.f64 a))
(-.f64 #s(literal 0 binary64) a)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 a a (.f64 #s(literal 0 binary64) a)))) (/.f64 (.f64 a (.f64 a a)) (+.f64 #s(literal 0 binary64) (fma.f64 a a (.f64 #s(literal 0 binary64) a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 a a) (+.f64 #s(literal 0 binary64) a)))
(neg.f64 a)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 a (.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 a (.f64 a a)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a))) (neg.f64 (+.f64 #s(literal 0 binary64) a)))
(*.f64 a #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) a)
(exp.f64 (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))))
(exp.f64 (.f64 (log.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))))) #s(literal 1/2 binary64)))
(fabs.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))))
(sqrt.f64 (.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))))
#s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))
(pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) #s(literal 2 binary64))
(pow.f64 (.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))))

eval296.0ms (2.8%)

Memory: 41.8MiB live, 411.1MiB allocated
Compiler: Compiled 55 488 to 5 297 computations (90.5% saved)

prune389.0ms (3.7%)

Memory

-29.6MiB live, 622.7MiB allocated

Pruning

33 alts after pruning (30 fresh and 3 done)

	Pruned	Kept	Total
New	2 005	17	2 022
Fresh	5	13	18
Picked	3	2	5
Done	1	1	2
Total	2 014	33	2 047

Accuracy

90.9%

Counts

2 047 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.0%	(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b)))
	22.7%	(/.f64 (fma.f64 b b (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 (.f64 a #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) b)))
	39.2%	(/.f64 (-.f64 (/.f64 (-.f64 (.f64 b b) (.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (/.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
	27.5%	(/.f64 (-.f64 (.f64 b b) #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))))))
▶	50.7%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
	33.6%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64)))
	44.8%	(/.f64 (-.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b) (.f64 #s(literal 2 binary64) a))
	31.8%	(/.f64 (+.f64 (neg.f64 b) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a))
	42.7%	(/.f64 #s(approx (+ (* b b) (+ (* c (* a -4)) (* b b))) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))
	33.5%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) b)))
✓	31.9%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))) a))
	24.4%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 #s(approx (+ ( c (* a -4)) (* b b)) (.f64 a (.f64 c #s(literal -4 binary64))))))) a))
	2.6%	(/.f64 #s(literal 1/2 binary64) (.f64 #s(approx (/ 1 (+ b (sqrt (+ ( c (* a -4)) (* b b))))) (/.f64 #s(literal 1/2 binary64) b)) a))
▶	11.4%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)))
	33.5%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) b))
	22.2%	(.f64 (exp.f64 (.f64 (log.f64 (.f64 a #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))) b))
✓	37.1%	#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (/.f64 c (neg.f64 b)))
	32.3%	#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
	37.0%	#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
	2.3%	#s(approx (/ (+ (* b b) (+ (* c (* a -4)) (* b b))) (* (* a 2) (+ b (sqrt (+ (* c (* a -4)) (* b b)))))) (fma.f64 (/.f64 c b) #s(literal -1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) a)))
▶	2.3%	#s(approx (/ (+ (* b b) (+ (* c (* a -4)) (* b b))) (* (* a 2) (+ b (sqrt (+ (* c (* a -4)) (* b b)))))) (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 c #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) b)) (/.f64 (.f64 b #s(literal 1/2 binary64)) a)))
	2.3%	#s(approx (/ (+ (* b b) (+ (* c (* a -4)) (* b b))) (* (* a 2) (+ b (sqrt (+ (* c (* a -4)) (* b b)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 c (neg.f64 b)) a b)) a))
	6.7%	#s(approx (/ (+ (* b b) (+ (* c (* a -4)) (* b b))) (* (* a 2) (+ b (sqrt (+ (* c (* a -4)) (* b b)))))) (neg.f64 (.f64 (.f64 b (.f64 b b)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 3/2 binary64) (.f64 a (.f64 b b)))) (/.f64 #s(literal -1/2 binary64) (.f64 c (*.f64 a a)))))))
	30.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (exp.f64 (*.f64 (log.f64 (neg.f64 b)) #s(literal 2 binary64)))) (/.f64 b (neg.f64 a))))
▶	2.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (*.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))))
	24.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 a b)) (.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 a b))))
✓	32.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
	32.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 b))))
	2.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b (neg.f64 a))))
	32.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
	35.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 c a) (.f64 b b)) c c) b)))
	11.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* b (/ c (* b b))) (/ b (neg a))) (/.f64 c b)))
▶	2.6%	#s(approx (/ 1/2 (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a)) (/.f64 b a))

Compiler

Compiled 1 158 to 682 computations (41.1% saved)

simplify231.0ms (2.2%)

Memory

29.4MiB live, 323.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (*.f64 a a)))
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (*.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))))
cost-diff	384	(*.f64 (/.f64 c b) (/.f64 c b))
cost-diff	3584	(/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (*.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a)))
cost-diff	0	(fma.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 c #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) b)) (/.f64 (.f64 b #s(literal 1/2 binary64)) a))
cost-diff	0	#s(approx (/ (+ (* b b) (+ (* c (* a -4)) (* b b))) (* (* a 2) (+ b (sqrt (+ (* c (* a -4)) (* b b)))))) (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 c #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) b)) (/.f64 (.f64 b #s(literal 1/2 binary64)) a)))
cost-diff	320	(*.f64 c #s(literal 0 binary64))
cost-diff	384	(fma.f64 #s(literal -1/2 binary64) (*.f64 c #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) b))
cost-diff	0	(*.f64 b #s(literal 1/2 binary64))
cost-diff	0	(/.f64 (*.f64 b #s(literal 1/2 binary64)) c)
cost-diff	0	#s(approx (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)))
cost-diff	0	(/.f64 b a)
cost-diff	0	#s(approx (/ 1/2 (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a)) (/.f64 b a))
cost-diff	0	(fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))
cost-diff	0	(-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b)
cost-diff	0	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))

Rules

10 544×	`lower-fma.f32`
10 540×	`lower-fma.f64`
4 796×	`lower-*.f32`
4 784×	`lower-*.f64`
1 782×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	345
0	85	331
1	181	315
2	343	314
3	758	286
4	1464	278
5	4053	278
6	7144	278
0	8020	277

Stop Event

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

Calls

Call 1

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

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

localize219.0ms (2.1%)

Memory

-14.6MiB live, 360.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	1.4062417433208234	(-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (*.f64 a a)))
accuracy	15.314816459947574	(/.f64 (.f64 b b) (.f64 a a))
accuracy	34.406358079451444	(/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (*.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a)))
accuracy	62.48767310000965	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (*.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))))
accuracy	0	(*.f64 c #s(literal 0 binary64))
accuracy	0	(*.f64 b #s(literal 1/2 binary64))
accuracy	0.1015625	(fma.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 c #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) b)) (/.f64 (.f64 b #s(literal 1/2 binary64)) a))
accuracy	37.81561324265445	#s(approx (/ (+ (* b b) (+ (* c (* a -4)) (* b b))) (* (* a 2) (+ b (sqrt (+ (* c (* a -4)) (* b b)))))) (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 c #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) b)) (/.f64 (.f64 b #s(literal 1/2 binary64)) a)))
accuracy	0	(/.f64 (*.f64 b #s(literal 1/2 binary64)) c)
accuracy	0	(*.f64 b #s(literal 1/2 binary64))
accuracy	0.5418084997528259	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)))
accuracy	43.32619356883985	#s(approx (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
accuracy	0	(/.f64 b a)
accuracy	40.11605335839215	#s(approx (/ 1/2 (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a)) (/.f64 b a))
accuracy	1.0140037597684421	(fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))
accuracy	3.6193049239494193	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
accuracy	14.029512282696162	(-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b)
accuracy	25.051515007094302	(sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)))

Samples

48.0ms	65×	2	valid
48.0ms	92×	0	valid
47.0ms	78×	1	valid
19.0ms	21×	3	valid

Compiler

Compiled 298 to 56 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-mult: 45.0ms (36.3% of total)

ival-div: 28.0ms (22.6% of total)

adjust: 20.0ms (16.1% of total)

ival-add: 13.0ms (10.5% of total)

ival-sqrt: 9.0ms (7.3% of total)

ival-sub: 7.0ms (5.7% of total)

exact: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

series43.0ms (0.4%)

Memory

17.7MiB live, 54.6MiB allocated

Counts

19 → 576

Calls

Call 1

Inputs
#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)) (patch (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b)) #<representation binary64>) () ())
#s(alt #s(approx (/ 1/2 (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a)) (/.f64 b a)) (patch #s(approx (/ 1/2 (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a)) (/.f64 b a)) #<representation binary64>) () ())
#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a) (/.f64 (.f64 b #s(literal 1/2 binary64)) c))) (patch (/.f64 #s(literal 1/2 binary64) #s(approx ( (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a) (/.f64 (.f64 b #s(literal 1/2 binary64)) c)) (patch #s(approx ( (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 b #s(literal 1/2 binary64)) c) (patch (/.f64 (.f64 b #s(literal 1/2 binary64)) c) #<representation binary64>) () ())
#s(alt (.f64 b #s(literal 1/2 binary64)) (patch (.f64 b #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/2 binary64) (.f64 c #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) b)) (patch (fma.f64 #s(literal -1/2 binary64) (.f64 c #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) b)) #<representation binary64>) () ())
#s(alt (.f64 c #s(literal 0 binary64)) (patch (.f64 c #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* b b) (+ (* c (* a -4)) (* b b))) (* (* a 2) (+ b (sqrt (+ (* c (* a -4)) (* b b)))))) (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 c #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) b)) (/.f64 (.f64 b #s(literal 1/2 binary64)) a))) (patch #s(approx (/ (+ (* b b) (+ (* c (* a -4)) (* b b))) (* (* a 2) (+ b (sqrt (+ (* c (* a -4)) (* b b)))))) (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 c #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) b)) (/.f64 (.f64 b #s(literal 1/2 binary64)) a))) #<representation binary64>) () ())
#s(alt (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 c #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) b)) (/.f64 (.f64 b #s(literal 1/2 binary64)) a)) (patch (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 c #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) b)) (/.f64 (.f64 b #s(literal 1/2 binary64)) a)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) (patch (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 c b) (/.f64 c b)) (patch (.f64 (/.f64 c b) (/.f64 c b)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a)))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (*.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a)))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (patch (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 b b) (.f64 a a)) (patch (/.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())

Outputs
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) (taylor -inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) (taylor -inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) (taylor -inf c) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) (taylor 0 a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) (taylor 0 a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) (taylor inf a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) (taylor inf a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) (taylor inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor -inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) (taylor inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) (taylor 0 a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) (taylor inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) (taylor inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) (taylor inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) (taylor inf b) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -1/2 (/ (* a c) b)) (* 1/2 b)) a) (taylor 0 a) (#s(alt (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 c #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) b)) (/.f64 (.f64 b #s(literal 1/2 binary64)) a)) (patch (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 c #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) b)) (/.f64 (.f64 b #s(literal 1/2 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor inf a) (#s(alt (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 c #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) b)) (/.f64 (.f64 b #s(literal 1/2 binary64)) a)) (patch (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 c #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) b)) (/.f64 (.f64 b #s(literal 1/2 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b)) (* 1/2 (/ b a))) (taylor inf a) (#s(alt (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 c #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) b)) (/.f64 (.f64 b #s(literal 1/2 binary64)) a)) (patch (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 c #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) b)) (/.f64 (.f64 b #s(literal 1/2 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b)) (* 1/2 (/ b a))) (taylor inf a) (#s(alt (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 c #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) b)) (/.f64 (.f64 b #s(literal 1/2 binary64)) a)) (patch (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 c #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) b)) (/.f64 (.f64 b #s(literal 1/2 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b)) (* 1/2 (/ b a))) (taylor inf a) (#s(alt (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 c #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) b)) (/.f64 (.f64 b #s(literal 1/2 binary64)) a)) (patch (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 c #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) b)) (/.f64 (.f64 b #s(literal 1/2 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (/ c b)) (taylor -inf a) (#s(alt (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 c #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) b)) (/.f64 (.f64 b #s(literal 1/2 binary64)) a)) (patch (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 c #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) b)) (/.f64 (.f64 b #s(literal 1/2 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b)) (* 1/2 (/ b a))) (taylor -inf a) (#s(alt (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 c #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) b)) (/.f64 (.f64 b #s(literal 1/2 binary64)) a)) (patch (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 c #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) b)) (/.f64 (.f64 b #s(literal 1/2 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b)) (* 1/2 (/ b a))) (taylor -inf a) (#s(alt (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 c #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) b)) (/.f64 (.f64 b #s(literal 1/2 binary64)) a)) (patch (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 c #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) b)) (/.f64 (.f64 b #s(literal 1/2 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ c b)) (* 1/2 (/ b a))) (taylor -inf a) (#s(alt (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 c #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) b)) (/.f64 (.f64 b #s(literal 1/2 binary64)) a)) (patch (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 c #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) b)) (/.f64 (.f64 b #s(literal 1/2 binary64)) a)) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor 0 c) (#s(alt (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) (patch (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (+ (/ b a) (/ c b)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) (patch (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (+ (/ b a) (/ c b)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) (patch (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (+ (/ b a) (/ c b)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) (patch (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ c b) (taylor inf c) (#s(alt (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) (patch (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (/ 1 b) (/ b (* a c)))) (taylor inf c) (#s(alt (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) (patch (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (/ 1 b) (/ b (* a c)))) (taylor inf c) (#s(alt (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) (patch (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (/ 1 b) (/ b (* a c)))) (taylor inf c) (#s(alt (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) (patch (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ c b) (taylor -inf c) (#s(alt (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) (patch (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ b (* a c))) (/ 1 b)))) (taylor -inf c) (#s(alt (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) (patch (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ b (* a c))) (/ 1 b)))) (taylor -inf c) (#s(alt (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) (patch (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ b (* a c))) (/ 1 b)))) (taylor -inf c) (#s(alt (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) (patch (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ c b) (taylor 0 b) (#s(alt (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) (patch (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ c (/ (pow b 2) a)) b) (taylor 0 b) (#s(alt (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) (patch (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ c (/ (pow b 2) a)) b) (taylor 0 b) (#s(alt (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) (patch (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ c (/ (pow b 2) a)) b) (taylor 0 b) (#s(alt (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) (patch (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor inf b) (#s(alt (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) (patch (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ 1 a) (/ c (pow b 2)))) (taylor inf b) (#s(alt (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) (patch (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ 1 a) (/ c (pow b 2)))) (taylor inf b) (#s(alt (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) (patch (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* b (+ (/ 1 a) (/ c (pow b 2)))) (taylor inf b) (#s(alt (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) (patch (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor -inf b) (#s(alt (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) (patch (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ c (pow b 2))) (/ 1 a)))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) (patch (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ c (pow b 2))) (/ 1 a)))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) (patch (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ c (pow b 2))) (/ 1 a)))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) (patch (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ b a) (taylor 0 a) (#s(alt (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) (patch (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ b (/ (* a c) b)) a) (taylor 0 a) (#s(alt (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) (patch (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ b (/ (* a c) b)) a) (taylor 0 a) (#s(alt (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) (patch (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ b (/ (* a c) b)) a) (taylor 0 a) (#s(alt (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) (patch (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ c b) (taylor inf a) (#s(alt (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) (patch (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (+ (/ b a) (/ c b)) (taylor inf a) (#s(alt (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) (patch (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (+ (/ b a) (/ c b)) (taylor inf a) (#s(alt (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) (patch (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (+ (/ b a) (/ c b)) (taylor inf a) (#s(alt (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) (patch (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ c b) (taylor -inf a) (#s(alt (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) (patch (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (+ (/ b a) (/ c b)) (taylor -inf a) (#s(alt (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) (patch (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (+ (/ b a) (/ c b)) (taylor -inf a) (#s(alt (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) (patch (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (+ (/ b a) (/ c b)) (taylor -inf a) (#s(alt (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) (patch (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (pow c 2) (pow b 2)) (taylor 0 c) (#s(alt (.f64 (/.f64 c b) (/.f64 c b)) (patch (.f64 (/.f64 c b) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ (pow c 2) (pow b 2)) (taylor 0 c) (#s(alt (.f64 (/.f64 c b) (/.f64 c b)) (patch (.f64 (/.f64 c b) (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ (pow c 2) (pow b 2)) (taylor 0 c) (#s(alt (.f64 (/.f64 c b) (/.f64 c b)) (patch (.f64 (/.f64 c b) (/.f64 c b)) #<representation binary64>) () ())) ())
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#s(alt (/ (pow b 2) (pow a 2)) (taylor -inf b) (#s(alt (/.f64 (.f64 b b) (.f64 a a)) (patch (/.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor -inf b) (#s(alt (/.f64 (.f64 b b) (.f64 a a)) (patch (/.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor -inf b) (#s(alt (/.f64 (.f64 b b) (.f64 a a)) (patch (/.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor 0 a) (#s(alt (/.f64 (.f64 b b) (.f64 a a)) (patch (/.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor 0 a) (#s(alt (/.f64 (.f64 b b) (.f64 a a)) (patch (/.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor 0 a) (#s(alt (/.f64 (.f64 b b) (.f64 a a)) (patch (/.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor 0 a) (#s(alt (/.f64 (.f64 b b) (.f64 a a)) (patch (/.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor inf a) (#s(alt (/.f64 (.f64 b b) (.f64 a a)) (patch (/.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor inf a) (#s(alt (/.f64 (.f64 b b) (.f64 a a)) (patch (/.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor inf a) (#s(alt (/.f64 (.f64 b b) (.f64 a a)) (patch (/.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor inf a) (#s(alt (/.f64 (.f64 b b) (.f64 a a)) (patch (/.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 (.f64 b b) (.f64 a a)) (patch (/.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 (.f64 b b) (.f64 a a)) (patch (/.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 (.f64 b b) (.f64 a a)) (patch (/.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (pow a 2)) (taylor -inf a) (#s(alt (/.f64 (.f64 b b) (.f64 a a)) (patch (/.f64 (.f64 b b) (.f64 a a)) #<representation binary64>) () ())) ())

Calls

144 calls:

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

simplify334.0ms (3.1%)

Memory

-9.1MiB live, 379.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 822×	`lower-*.f64`
7 822×	`lower-*.f32`
6 896×	`lower-fma.f64`
6 896×	`lower-fma.f32`
4 802×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1229	11068
1	4074	10661
0	8588	10258

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 573

Calls

Call 1

Inputs
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(/ b a)
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))
(* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))
(* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(/ c b)
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))
(/ b a)
(+ (* -1 (/ c b)) (/ b a))
(+ (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (/ b a))
(+ (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (/ b a))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))
(* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c))))))
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* 1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ b a)
(/ (+ b (* -1 (/ (* a c) b))) a)
(/ (+ b (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)
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(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a))) a)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow a 2))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)))) a)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow a 2))) (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* a (* (pow b 2) (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2))))) (pow a 3))) (* 1/2 (/ (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a))))) a)
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 (/ (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* -1 (* a b))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* -1 (* a b)))) (* -1/2 (/ (+ (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* -1 (* a b)))))))) a))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* -1 (* a b)))))))))))) (* -1/8 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* -1 (* a b))))) c))) a)) (* 1/2 (+ (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* -1 (* a b)))))))))) a)) (* -1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* -1 (* a b))))) a))) a))
(* 1/2 (/ b a))
(+ (* -1/2 (/ c b)) (* 1/2 (/ b a)))
(+ (* -1/2 (/ c b)) (* 1/2 (/ b a)))
(+ (* -1/2 (/ c b)) (* 1/2 (/ b a)))
(* -1/2 (/ c b))
(* c (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* c (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* c (- (* 1/2 (/ b (* a c))) (* 1/2 (/ 1 b))))
(* -1/2 (/ c b))
(* -1 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1 (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (/ 1 b)))))
(* -1/2 (/ c b))
(/ (+ (* -1/2 c) (* 1/2 (/ (pow b 2) a))) b)
(/ (+ (* -1/2 c) (* 1/2 (/ (pow b 2) a))) b)
(/ (+ (* -1/2 c) (* 1/2 (/ (pow b 2) a))) b)
(* 1/2 (/ b a))
(* b (+ (* -1/2 (/ c (pow b 2))) (* 1/2 (/ 1 a))))
(* b (+ (* -1/2 (/ c (pow b 2))) (* 1/2 (/ 1 a))))
(* b (+ (* -1/2 (/ c (pow b 2))) (* 1/2 (/ 1 a))))
(* 1/2 (/ b a))
(* -1 (* b (- (* 1/2 (/ c (pow b 2))) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (* 1/2 (/ c (pow b 2))) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (* 1/2 (/ c (pow b 2))) (* 1/2 (/ 1 a)))))
(* 1/2 (/ b a))
(/ (+ (* -1/2 (/ (* a c) b)) (* 1/2 b)) a)
(/ (+ (* -1/2 (/ (* a c) b)) (* 1/2 b)) a)
(/ (+ (* -1/2 (/ (* a c) b)) (* 1/2 b)) a)
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* 1/2 (/ b a)))
(+ (* -1/2 (/ c b)) (* 1/2 (/ b a)))
(+ (* -1/2 (/ c b)) (* 1/2 (/ b a)))
(* -1/2 (/ c b))
(+ (* -1/2 (/ c b)) (* 1/2 (/ b a)))
(+ (* -1/2 (/ c b)) (* 1/2 (/ b a)))
(+ (* -1/2 (/ c b)) (* 1/2 (/ b a)))
(/ b a)
(+ (/ b a) (/ c b))
(+ (/ b a) (/ c b))
(+ (/ b a) (/ c b))
(/ c b)
(* c (+ (/ 1 b) (/ b (* a c))))
(* c (+ (/ 1 b) (/ b (* a c))))
(* c (+ (/ 1 b) (/ b (* a c))))
(/ c b)
(* -1 (* c (- (* -1 (/ b (* a c))) (/ 1 b))))
(* -1 (* c (- (* -1 (/ b (* a c))) (/ 1 b))))
(* -1 (* c (- (* -1 (/ b (* a c))) (/ 1 b))))
(/ c b)
(/ (+ c (/ (pow b 2) a)) b)
(/ (+ c (/ (pow b 2) a)) b)
(/ (+ c (/ (pow b 2) a)) b)
(/ b a)
(* b (+ (/ 1 a) (/ c (pow b 2))))
(* b (+ (/ 1 a) (/ c (pow b 2))))
(* b (+ (/ 1 a) (/ c (pow b 2))))
(/ b a)
(* -1 (* b (- (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (- (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (- (* -1 (/ c (pow b 2))) (/ 1 a))))
(/ b a)
(/ (+ b (/ (* a c) b)) a)
(/ (+ b (/ (* a c) b)) a)
(/ (+ b (/ (* a c) b)) a)
(/ c b)
(+ (/ b a) (/ c b))
(+ (/ b a) (/ c b))
(+ (/ b a) (/ c b))
(/ c b)
(+ (/ b a) (/ c b))
(+ (/ b a) (/ c b))
(+ (/ b a) (/ c b))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(/ (pow c 2) (pow b 2))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (/ (pow b 2) (pow a 2)))
(- (/ (pow c 2) (pow b 2)) (/ (pow b 2) (pow a 2)))
(- (/ (pow c 2) (pow b 2)) (/ (pow b 2) (pow a 2)))
(- (/ (pow c 2) (pow b 2)) (/ (pow b 2) (pow a 2)))
(/ (pow c 2) (pow b 2))
(* (pow c 2) (+ (* -1 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (/ 1 (pow b 2))))
(* (pow c 2) (+ (* -1 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (/ 1 (pow b 2))))
(* (pow c 2) (+ (* -1 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (/ 1 (pow b 2))))
(/ (pow c 2) (pow b 2))
(* (pow c 2) (+ (* -1 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (/ 1 (pow b 2))))
(* (pow c 2) (+ (* -1 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (/ 1 (pow b 2))))
(* (pow c 2) (+ (* -1 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (/ 1 (pow b 2))))
(/ (pow c 2) (pow b 2))
(/ (+ (* -1 (/ (pow b 4) (pow a 2))) (pow c 2)) (pow b 2))
(/ (+ (* -1 (/ (pow b 4) (pow a 2))) (pow c 2)) (pow b 2))
(/ (+ (* -1 (/ (pow b 4) (pow a 2))) (pow c 2)) (pow b 2))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ (pow c 2) (pow b 4)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ (pow c 2) (pow b 4)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ (pow c 2) (pow b 4)) (/ 1 (pow a 2))))
(* -1 (/ (pow b 2) (pow a 2)))
(* (pow b 2) (- (/ (pow c 2) (pow b 4)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ (pow c 2) (pow b 4)) (/ 1 (pow a 2))))
(* (pow b 2) (- (/ (pow c 2) (pow b 4)) (/ 1 (pow a 2))))
(* -1 (/ (pow b 2) (pow a 2)))
(/ (- (/ (* (pow a 2) (pow c 2)) (pow b 2)) (pow b 2)) (pow a 2))
(/ (- (/ (* (pow a 2) (pow c 2)) (pow b 2)) (pow b 2)) (pow a 2))
(/ (- (/ (* (pow a 2) (pow c 2)) (pow b 2)) (pow b 2)) (pow a 2))
(/ (pow c 2) (pow b 2))
(+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow c 2) (pow b 2)))
(+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow c 2) (pow b 2)))
(+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow c 2) (pow b 2)))
(/ (pow c 2) (pow b 2))
(+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow c 2) (pow b 2)))
(+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow c 2) (pow b 2)))
(+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow c 2) (pow b 2)))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))
(/ (pow b 2) (pow a 2))

Outputs
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(.f64 c (fma.f64 (neg.f64 a) (/.f64 c (.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(.f64 c (fma.f64 c (-.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 c (.f64 a a))) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (.f64 b (.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 c (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)))) (.f64 b a))) (neg.f64 (/.f64 a (.f64 b (.f64 b b))))) (/.f64 #s(literal -1 binary64) b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(.f64 c (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (/.f64 (.f64 b #s(literal -1/2 binary64)) (*.f64 c a))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 b (.f64 c a)) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 b (.f64 c a)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 c a))) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(neg.f64 (.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (fma.f64 #s(literal -1/128 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (pow.f64 a #s(literal 5 binary64))))) (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c (.f64 a (.f64 a a))))))) (neg.f64 c))) c)) (neg.f64 c))
(* -1 (/ c b))
(/.f64 c (neg.f64 b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b (*.f64 b b))) (/.f64 c b)))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(-.f64 (.f64 a (-.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 a (.f64 c (.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 c c) (.f64 b (.f64 b b))))) (/.f64 c b))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) b) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 c (neg.f64 c)) (.f64 b (.f64 b b)))) (/.f64 c (neg.f64 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
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(* (sqrt (* a c)) (sqrt -4))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
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b
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(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
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(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 c a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
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(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 c a)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
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b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
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(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
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(* -1 b)
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(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
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(+ (* -4 (* a c)) (pow b 2))
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(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))
(* -4 (* a c))
(.f64 (.f64 c a) #s(literal -4 binary64))
(* c (+ (* -4 a) (/ (pow b 2) c)))
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(* c (+ (* -4 a) (/ (pow b 2) c)))
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(* c (+ (* -4 a) (/ (pow b 2) c)))
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(* -4 (* a c))
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(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))
(* -4 (* a c))
(.f64 (.f64 c a) #s(literal -4 binary64))
(* a (+ (* -4 c) (/ (pow b 2) a)))
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(* -4 (* a c))
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(* -4 (* a c))
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(pow b 2)
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(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
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(pow b 2)
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(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
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(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
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(.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 b (.f64 c a)) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 b (.f64 c a)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (pow.f64 b #s(literal 4 binary64))) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 c a))) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(neg.f64 (.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (fma.f64 #s(literal -1/128 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (pow.f64 a #s(literal 5 binary64))))) (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c (.f64 a (.f64 a a))))))) (neg.f64 c))) c)) (neg.f64 c))
(* -1 (/ (pow b 2) (pow a 2)))
(/.f64 (.f64 b (neg.f64 b)) (.f64 a a))
(- (/ (pow c 2) (pow b 2)) (/ (pow b 2) (pow a 2)))
(-.f64 (/.f64 (.f64 c c) (.f64 b b)) (/.f64 (.f64 b b) (.f64 a a)))
(- (/ (pow c 2) (pow b 2)) (/ (pow b 2) (pow a 2)))
(-.f64 (/.f64 (.f64 c c) (.f64 b b)) (/.f64 (.f64 b b) (.f64 a a)))
(- (/ (pow c 2) (pow b 2)) (/ (pow b 2) (pow a 2)))
(-.f64 (/.f64 (.f64 c c) (.f64 b b)) (/.f64 (.f64 b b) (.f64 a a)))
(/ (pow c 2) (pow b 2))
(/.f64 (.f64 c c) (.f64 b b))
(* (pow c 2) (+ (* -1 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (/ 1 (pow b 2))))
(.f64 (.f64 c c) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (.f64 b b) (.f64 (.f64 c a) (*.f64 c a)))))
(* (pow c 2) (+ (* -1 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (/ 1 (pow b 2))))
(.f64 (.f64 c c) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (.f64 b b) (.f64 (.f64 c a) (*.f64 c a)))))
(* (pow c 2) (+ (* -1 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (/ 1 (pow b 2))))
(.f64 (.f64 c c) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (.f64 b b) (.f64 (.f64 c a) (*.f64 c a)))))
(/ (pow c 2) (pow b 2))
(/.f64 (.f64 c c) (.f64 b b))
(* (pow c 2) (+ (* -1 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (/ 1 (pow b 2))))
(.f64 (.f64 c c) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (.f64 b b) (.f64 (.f64 c a) (*.f64 c a)))))
(* (pow c 2) (+ (* -1 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (/ 1 (pow b 2))))
(.f64 (.f64 c c) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (.f64 b b) (.f64 (.f64 c a) (*.f64 c a)))))
(* (pow c 2) (+ (* -1 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (/ 1 (pow b 2))))
(.f64 (.f64 c c) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (.f64 b b) (.f64 (.f64 c a) (*.f64 c a)))))
(/ (pow c 2) (pow b 2))
(/.f64 (.f64 c c) (.f64 b b))
(/ (+ (* -1 (/ (pow b 4) (pow a 2))) (pow c 2)) (pow b 2))
(/.f64 (-.f64 (.f64 c c) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 a a))) (*.f64 b b))
(/ (+ (* -1 (/ (pow b 4) (pow a 2))) (pow c 2)) (pow b 2))
(/.f64 (-.f64 (.f64 c c) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 a a))) (*.f64 b b))
(/ (+ (* -1 (/ (pow b 4) (pow a 2))) (pow c 2)) (pow b 2))
(/.f64 (-.f64 (.f64 c c) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 a a))) (*.f64 b b))
(* -1 (/ (pow b 2) (pow a 2)))
(/.f64 (.f64 b (neg.f64 b)) (.f64 a a))
(* (pow b 2) (- (/ (pow c 2) (pow b 4)) (/ 1 (pow a 2))))
(.f64 (.f64 b b) (-.f64 (/.f64 (.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 a a))))
(* (pow b 2) (- (/ (pow c 2) (pow b 4)) (/ 1 (pow a 2))))
(.f64 (.f64 b b) (-.f64 (/.f64 (.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 a a))))
(* (pow b 2) (- (/ (pow c 2) (pow b 4)) (/ 1 (pow a 2))))
(.f64 (.f64 b b) (-.f64 (/.f64 (.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 a a))))
(* -1 (/ (pow b 2) (pow a 2)))
(/.f64 (.f64 b (neg.f64 b)) (.f64 a a))
(* (pow b 2) (- (/ (pow c 2) (pow b 4)) (/ 1 (pow a 2))))
(.f64 (.f64 b b) (-.f64 (/.f64 (.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 a a))))
(* (pow b 2) (- (/ (pow c 2) (pow b 4)) (/ 1 (pow a 2))))
(.f64 (.f64 b b) (-.f64 (/.f64 (.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 a a))))
(* (pow b 2) (- (/ (pow c 2) (pow b 4)) (/ 1 (pow a 2))))
(.f64 (.f64 b b) (-.f64 (/.f64 (.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 a a))))
(* -1 (/ (pow b 2) (pow a 2)))
(/.f64 (.f64 b (neg.f64 b)) (.f64 a a))
(/ (- (/ (* (pow a 2) (pow c 2)) (pow b 2)) (pow b 2)) (pow a 2))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (.f64 b b)) (.f64 b b)) (.f64 a a))
(/ (- (/ (* (pow a 2) (pow c 2)) (pow b 2)) (pow b 2)) (pow a 2))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (.f64 b b)) (.f64 b b)) (.f64 a a))
(/ (- (/ (* (pow a 2) (pow c 2)) (pow b 2)) (pow b 2)) (pow a 2))
(/.f64 (-.f64 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (.f64 b b)) (.f64 b b)) (.f64 a a))
(/ (pow c 2) (pow b 2))
(/.f64 (.f64 c c) (.f64 b b))
(+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow c 2) (pow b 2)))
(-.f64 (/.f64 (.f64 c c) (.f64 b b)) (/.f64 (.f64 b b) (.f64 a a)))
(+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow c 2) (pow b 2)))
(-.f64 (/.f64 (.f64 c c) (.f64 b b)) (/.f64 (.f64 b b) (.f64 a a)))
(+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow c 2) (pow b 2)))
(-.f64 (/.f64 (.f64 c c) (.f64 b b)) (/.f64 (.f64 b b) (.f64 a a)))
(/ (pow c 2) (pow b 2))
(/.f64 (.f64 c c) (.f64 b b))
(+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow c 2) (pow b 2)))
(-.f64 (/.f64 (.f64 c c) (.f64 b b)) (/.f64 (.f64 b b) (.f64 a a)))
(+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow c 2) (pow b 2)))
(-.f64 (/.f64 (.f64 c c) (.f64 b b)) (/.f64 (.f64 b b) (.f64 a a)))
(+ (* -1 (/ (pow b 2) (pow a 2))) (/ (pow c 2) (pow b 2)))
(-.f64 (/.f64 (.f64 c c) (.f64 b b)) (/.f64 (.f64 b b) (.f64 a a)))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))
(/ (pow b 2) (pow a 2))
(/.f64 (.f64 b b) (.f64 a a))

rewrite310.0ms (2.9%)

Memory

33.1MiB live, 343.6MiB allocated

Rules

5 054×	`lower-/.f32`
5 036×	`lower-/.f64`
3 276×	`lower-*.f32`
3 264×	`lower-*.f64`
3 020×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	287
0	85	263
1	409	217
2	3298	217
0	8824	216

Stop Event

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

Counts

19 → 688

Calls

Call 1

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

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

eval180.0ms (1.7%)

Memory: -3.3MiB live, 354.9MiB allocated
Compiler: Compiled 37 540 to 3 321 computations (91.2% saved)

prune245.0ms (2.3%)

Memory

36.8MiB live, 420.7MiB allocated

Pruning

34 alts after pruning (28 fresh and 6 done)

	Pruned	Kept	Total
New	1 314	8	1 322
Fresh	5	20	25
Picked	2	3	5
Done	0	3	3
Total	1 321	34	1 355

Accuracy

90.9%

Counts

1 355 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.0%	(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b)))
	22.7%	(/.f64 (fma.f64 b b (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 (.f64 a #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) b)))
	39.2%	(/.f64 (-.f64 (/.f64 (-.f64 (.f64 b b) (.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (/.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
	27.5%	(/.f64 (-.f64 (.f64 b b) #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))))))
✓	50.7%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
	33.6%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64)))
	44.8%	(/.f64 (-.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b) (.f64 #s(literal 2 binary64) a))
	31.8%	(/.f64 (+.f64 (neg.f64 b) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a))
	42.7%	(/.f64 #s(approx (+ (* b b) (+ (* c (* a -4)) (* b b))) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))
	33.5%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) b)))
✓	31.9%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))) a))
	24.4%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 #s(approx (+ ( c (* a -4)) (* b b)) (.f64 a (.f64 c #s(literal -4 binary64))))))) a))
	11.4%	(/.f64 #s(literal 1/2 binary64) #s(approx (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a) (*.f64 (/.f64 #s(literal 1/2 binary64) c) b)))
	33.5%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) b))
	22.2%	(.f64 (exp.f64 (.f64 (log.f64 (.f64 a #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))) b))
✓	37.1%	#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (/.f64 c (neg.f64 b)))
	32.3%	#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
	37.0%	#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
	2.3%	#s(approx (/ (+ (* b b) (+ (* c (* a -4)) (* b b))) (* (* a 2) (+ b (sqrt (+ (* c (* a -4)) (* b b)))))) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) c (/.f64 b (*.f64 a #s(literal 2 binary64)))))
	2.3%	#s(approx (/ (+ (* b b) (+ (* c (* a -4)) (* b b))) (* (* a 2) (+ b (sqrt (+ (* c (* a -4)) (* b b)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 c (neg.f64 b)) a b)) a))
	2.2%	#s(approx (/ (+ (* b b) (+ (* c (* a -4)) (* b b))) (* (* a 2) (+ b (sqrt (+ (* c (* a -4)) (* b b)))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 b (/.f64 (.f64 c a) b))) a))
	6.7%	#s(approx (/ (+ (* b b) (+ (* c (* a -4)) (* b b))) (* (* a 2) (+ b (sqrt (+ (* c (* a -4)) (* b b)))))) (.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 c (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 3/2 binary64) (.f64 a (.f64 b b)))) (/.f64 #s(literal -1/2 binary64) (.f64 c (.f64 a a)))) (neg.f64 (.f64 b (*.f64 b b)))))
	15.6%	#s(approx (/ (+ (* b b) (+ (* c (* a -4)) (* b b))) (* (* a 2) (+ b (sqrt (+ (* c (* a -4)) (* b b)))))) #s(approx (+ (* c (+ (* -1/2 (* c 0)) (/ -1/2 b))) (/ (* b 1/2) a)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b)))
	2.2%	#s(approx (/ (+ (* b b) (+ (* c (* a -4)) (* b b))) (* (* a 2) (+ b (sqrt (+ (* c (* a -4)) (* b b)))))) #s(approx (+ (* c (+ (* -1/2 (* c 0)) (/ -1/2 b))) (/ (* b 1/2) a)) (.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)))))
	30.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (exp.f64 (*.f64 (log.f64 (neg.f64 b)) #s(literal 2 binary64)))) (/.f64 b (neg.f64 a))))
✓	2.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (.f64 (/.f64 c b) (/.f64 c b)) (/.f64 (.f64 b b) (*.f64 a a))) (-.f64 (/.f64 c b) (/.f64 b a))))
	24.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 a b)) (.f64 a #s(literal 1 binary64))) (*.f64 a (/.f64 a b))))
✓	32.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
	32.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 b))))
	2.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (/.f64 c b) (/.f64 b a)))
	32.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
	35.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 (.f64 c a) (.f64 b b)) c c) b)))
	11.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (- (* (/ c b) (/ c b)) (/ (* b b) (* a a))) (- (/ c b) (/ b a))) (/.f64 c b)))
✓	2.6%	#s(approx (/ 1/2 (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a)) (/.f64 b a))

Compiler

Compiled 1 566 to 574 computations (63.3% saved)

regimes195.0ms (1.8%)

Memory

-39.7MiB live, 129.9MiB allocated

Counts

61 → 3

Calls

Call 1

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

Outputs

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))

(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))

Calls

4 calls:

104.0ms	b
27.0ms	c
18.0ms	a
15.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
50.8%	1	`a`
86.4%	3	`b`
50.8%	1	`c`
73.8%	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes13.0ms (0.1%)

Memory

29.2MiB live, 29.2MiB allocated

Counts

37 → 3

Calls

Call 1

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

Outputs

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))

(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
86.4%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes28.0ms (0.3%)

Memory

-8.9MiB live, 27.8MiB allocated

Counts

34 → 3

Calls

Call 1

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

Outputs

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))

(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))

Calls

1 calls:

26.0ms

Results

Accuracy	Segments	Branch
86.3%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes17.0ms (0.2%)

Memory

-17.8MiB live, 23.5MiB allocated

Counts

32 → 3

Calls

Call 1

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

Outputs

#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))

(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64)))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
81.3%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Memory

21.6MiB live, 21.6MiB allocated

Counts

26 → 3

Calls

Call 1

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

Outputs

#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))

(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 c (*.f64 a #s(literal -4 binary64))))) b))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
81.3%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes19.0ms (0.2%)

Memory

-6.8MiB live, 29.3MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs
#s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))

Calls

2 calls:

11.0ms	b
7.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
49.8%	3	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
67.1%	2	`b`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes5.0ms (0%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
66.9%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

Memory

-13.9MiB live, 22.0MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (/ 1/2 (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a)) (/.f64 b a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* b (/ c (* b b))) (/ b (neg a))) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (- (* (/ c b) (/ c b)) (/ (* b b) (* a a))) (- (/ c b) (/ b a))) (/.f64 c b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))

Outputs

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* b (/ c (* b b))) (/ b (neg a))) (/.f64 c b)))

Calls

4 calls:

2.0ms	c
2.0ms	a
2.0ms	b
2.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
32.3%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
32.3%	1	`a`
32.3%	1	`c`
40.8%	2	`b`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes8.0ms (0.1%)

Memory

22.8MiB live, 22.8MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (/ 1/2 (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a)) (/.f64 b a))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* b (/ c (* b b))) (/ b (neg a))) (/.f64 c b)))

#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (/ (- (* (/ c b) (/ c b)) (/ (* b b) (* a a))) (- (/ c b) (/ b a))) (/.f64 c b)))

Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* b (/ c (* b b))) (/ b (neg a))) (/.f64 c b)))

Calls

4 calls:

2.0ms	a
2.0ms	b
2.0ms	c
2.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
11.3%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
11.3%	1	`c`
11.3%	1	`a`
11.3%	1	`b`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes7.0ms (0.1%)

Memory

-22.3MiB live, 16.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ 1/2 (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a)) (/.f64 b a))

Outputs
#s(approx (/ 1/2 (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a)) (/.f64 b a))

Calls

4 calls:

3.0ms	b
1.0ms	a
1.0ms	c
1.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
2.6%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
2.6%	1	`a`
2.6%	1	`b`
2.6%	1	`c`

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch79.0ms (0.7%)

Memory

0.6MiB live, 42.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
73.0ms	8.372132256100927e-167	6.78816562602649e-157
2.0ms	-8.775911602905155e+157	-3.1261108413075005e+147

Samples

50.0ms	33×	1	valid
11.0ms	142×	0	valid
6.0ms	70×	0	invalid
0.0ms	1×	2	valid

Compiler

Compiled 353 to 251 computations (28.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-sub: 47.0ms (78.9% of total)

ival-mult: 6.0ms (10.1% of total)

ival-div: 2.0ms (3.4% of total)

ival-sqrt: 2.0ms (3.4% of total)

adjust: 1.0ms (1.7% of total)

ival-add: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
1.0ms	8.372132256100927e-167	6.78816562602649e-157
0.0ms	-8.775911602905155e+157	-3.1261108413075005e+147

Compiler

Compiled 331 to 229 computations (30.8% saved)

bsearch18.0ms (0.2%)

Memory

10.1MiB live, 10.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8.372132256100927e-167	6.78816562602649e-157
15.0ms	-6.134074129690749e+130	-7.948270953361835e+127

Samples

10.0ms	128×	0	valid
0.0ms	3×	0	invalid

Compiler

Compiled 527 to 362 computations (31.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (45.2% of total)

ival-div: 1.0ms (15.1% of total)

ival-add: 1.0ms (15.1% of total)

ival-sub: 1.0ms (15.1% of total)

ival-sqrt: 1.0ms (15.1% of total)

ival-neg: 1.0ms (15.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch27.0ms (0.3%)

Memory

-12.9MiB live, 23.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8.372132256100927e-167	6.78816562602649e-157
24.0ms	-1.0307117243700886e-139	-3.4439837016459114e-144

Samples

14.0ms	128×	0	valid
4.0ms	47×	0	invalid

Compiler

Compiled 515 to 352 computations (31.7% saved)

Precisions

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

ival-mult: 4.0ms (45.8% of total)

ival-div: 1.0ms (11.4% of total)

ival-add: 1.0ms (11.4% of total)

ival-sub: 1.0ms (11.4% of total)

ival-sqrt: 1.0ms (11.4% of total)

ival-neg: 1.0ms (11.4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8.372132256100927e-167	6.78816562602649e-157
1.0ms	-1.0307117243700886e-139	-3.4439837016459114e-144

Compiler

Compiled 515 to 352 computations (31.7% saved)

bsearch47.0ms (0.4%)

Memory

-3.2MiB live, 33.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
44.0ms	-4.076770595246398e-305	3.1910430157318594e-303

Samples

26.0ms	71×	0	invalid
11.0ms	144×	0	valid

Compiler

Compiled 212 to 137 computations (35.4% saved)

Precisions

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

ival-mult: 5.0ms (45.6% of total)

ival-div: 1.0ms (9.1% of total)

ival-add: 1.0ms (9.1% of total)

ival-sub: 1.0ms (9.1% of total)

ival-sqrt: 1.0ms (9.1% of total)

ival-neg: 1.0ms (9.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-4.076770595246398e-305	3.1910430157318594e-303

Compiler

Compiled 185 to 128 computations (30.8% saved)

bsearch49.0ms (0.5%)

Memory

6.0MiB live, 42.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
46.0ms	5.461594391002492e-27	5.893428100402469e-24

Samples

26.0ms	51×	0	valid
7.0ms	47×	1	valid
6.0ms	30×	2	valid
2.0ms	24×	0	invalid

Compiler

Compiled 167 to 108 computations (35.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-neg: 22.0ms (62.4% of total)

ival-mult: 4.0ms (11.3% of total)

adjust: 2.0ms (5.7% of total)

ival-div: 2.0ms (5.7% of total)

ival-sqrt: 2.0ms (5.7% of total)

ival-sub: 1.0ms (2.8% of total)

ival-add: 1.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

simplify13.0ms (0.1%)

Memory

29.0MiB live, 29.0MiB allocated

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative_binary64`
30×	`+-commutative_binary64`
28×	`sub-neg_binary64`
18×	`neg-sub0_binary64`
18×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	95	569
1	124	568
2	156	568
3	172	568
4	181	568
5	183	568

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -49999999999999997643667726825605503998723091390929041589542693874892976119602893534497849501708255388193655030747466210492481655783901101005318643863821221888 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 2589240140421563/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))))
(if (<=.f64 b #s(literal -49999999999999997643667726825605503998723091390929041589542693874892976119602893534497849501708255388193655030747466210492481655783901101005318643863821221888 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 2589240140421563/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))))
(if (<=.f64 b #s(literal -1549999999999999981845628854020530752486339707458490233067369024055842518286850095687044370529418372931456866934044909143070867456 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 2589240140421563/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))))
(if (<=.f64 b #s(literal -5363123171977039/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384 binary64)) #s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 2589240140421563/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) b) (.f64 a #s(literal 2 binary64))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))))
(if (<=.f64 b #s(literal -5363123171977039/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384 binary64)) #s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 2589240140421563/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))))
(if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal 5988969657808517/1361129467683753853853498429727072845824 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* b (/ c (* b b))) (/ b (neg a))) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* b (/ c (* b b))) (/ b (neg a))) (/.f64 c b)))
#s(approx (/ 1/2 (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a)) (/.f64 b a))

Outputs
(if (<=.f64 b #s(literal -49999999999999997643667726825605503998723091390929041589542693874892976119602893534497849501708255388193655030747466210492481655783901101005318643863821221888 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 2589240140421563/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))))
(if (<=.f64 b #s(literal -49999999999999997643667726825605503998723091390929041589542693874892976119602893534497849501708255388193655030747466210492481655783901101005318643863821221888 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 2589240140421563/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 #s(literal 4 binary64) a)))) b) (.f64 a #s(literal 2 binary64))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 c b)))))
(if (<=.f64 b #s(literal -49999999999999997643667726825605503998723091390929041589542693874892976119602893534497849501708255388193655030747466210492481655783901101005318643863821221888 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 2589240140421563/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))))
(if (<=.f64 b #s(literal -49999999999999997643667726825605503998723091390929041589542693874892976119602893534497849501708255388193655030747466210492481655783901101005318643863821221888 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 2589240140421563/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (.f64 a #s(literal 2 binary64))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 c b)))))
(if (<=.f64 b #s(literal -1549999999999999981845628854020530752486339707458490233067369024055842518286850095687044370529418372931456866934044909143070867456 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 2589240140421563/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))))
(if (<=.f64 b #s(literal -1549999999999999981845628854020530752486339707458490233067369024055842518286850095687044370529418372931456866934044909143070867456 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 2589240140421563/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 c b)))))
(if (<=.f64 b #s(literal -5363123171977039/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384 binary64)) #s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 2589240140421563/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) b) (.f64 a #s(literal 2 binary64))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))))
(if (<=.f64 b #s(literal -5363123171977039/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384 binary64)) #s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 2589240140421563/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) b) (.f64 a #s(literal 2 binary64))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 c b)))))
(if (<=.f64 b #s(literal -5363123171977039/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384 binary64)) #s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 2589240140421563/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))))
(if (<=.f64 b #s(literal -5363123171977039/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336384 binary64)) #s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 2589240140421563/3864537523017258344695351890931987344298927329706434998657235251451519142289560424536193766581922577962463616031502177177365078661042987655742908673467080748696980814823424 binary64)) (.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) b) (/.f64 #s(literal 1/2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 c b)))))
(if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (sqrt (+ (* c (* a -4)) (* b b))) b) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal 5988969657808517/1361129467683753853853498429727072845824 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* b (/ c (* b b))) (/ b (neg a))) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* b (/ c (* b b))) (/ b (neg a))) (/.f64 c b)))
#s(approx (/ 1/2 (* (/ 1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) a)) (/.f64 b a))

soundness1.2s (11.5%)

Memory

-127.9MiB live, 966.1MiB allocated

Rules

11 458×	`lower-fma.f64`
11 458×	`lower-fma.f32`
7 766×	`lower-*.f64`
7 766×	`lower-*.f32`
7 024×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	545	3273
1	1738	3232
2	6083	3204
0	8243	3047
0	1154	13167
1	3820	12803
0	8084	12297
0	49	251
0	75	252
1	266	239
2	2043	231
0	9334	231
0	14	51
0	23	51
1	76	49
2	536	48
3	6864	48
0	8158	44

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 548 to 248 computations (54.7% saved)

preprocess60.0ms (0.6%)

Memory: 38.5MiB live, 197.1MiB allocated
Compiler: Compiled 490 to 150 computations (69.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze180.0ms (1.7%)

sample2.2s (21.1%)

explain219.0ms (2.1%)

preprocess140.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify89.0ms (0.8%)

localize85.0ms (0.8%)

series34.0ms (0.3%)

simplify263.0ms (2.5%)

rewrite253.0ms (2.4%)

eval91.0ms (0.9%)

prune121.0ms (1.1%)

simplify158.0ms (1.5%)

localize185.0ms (1.7%)

series81.0ms (0.8%)

simplify376.0ms (3.5%)

rewrite371.0ms (3.5%)

eval306.0ms (2.9%)

prune356.0ms (3.3%)

simplify144.0ms (1.4%)

localize210.0ms (2%)

series55.0ms (0.5%)

simplify303.0ms (2.8%)

rewrite295.0ms (2.8%)

eval296.0ms (2.8%)

prune389.0ms (3.7%)

simplify231.0ms (2.2%)

localize219.0ms (2.1%)

series43.0ms (0.4%)

simplify334.0ms (3.1%)

rewrite310.0ms (2.9%)

eval180.0ms (1.7%)

prune245.0ms (2.3%)

regimes195.0ms (1.8%)

regimes13.0ms (0.1%)

regimes28.0ms (0.3%)

regimes17.0ms (0.2%)

regimes10.0ms (0.1%)

regimes19.0ms (0.2%)

regimes5.0ms (0%)

regimes12.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch79.0ms (0.7%)

bsearch1.0ms (0%)

bsearch18.0ms (0.2%)

bsearch27.0ms (0.3%)

bsearch2.0ms (0%)

bsearch47.0ms (0.4%)

bsearch1.0ms (0%)

bsearch49.0ms (0.5%)

simplify13.0ms (0.1%)

soundness1.2s (11.5%)

preprocess60.0ms (0.6%)

end0.0ms (0%)

Profiling