Metrics for The quadratic formula (r2)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze130.0ms (1.3%)

Memory

22.9MiB live, 299.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	5
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	6
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)

sample1.6s (15.1%)

Memory

79.1MiB live, 2 380.0MiB allocated

Samples

514.0ms	5 576×	0	valid
242.0ms	1 313×	1	valid
232.0ms	1 177×	2	valid
77.0ms	901×	0	invalid
52.0ms	190×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 825.0ms

ival-mult: 278.0ms (33.7% of total)

ival-div: 153.0ms (18.5% of total)

ival-sub: 130.0ms (15.8% of total)

ival-sqrt: 123.0ms (14.9% of total)

adjust: 73.0ms (8.8% of total)

ival-neg: 48.0ms (5.8% of total)

exact: 10.0ms (1.2% of total)

ival-true: 7.0ms (0.8% of total)

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

Bogosity

explain364.0ms (3.5%)

Memory

-32.0MiB live, 256.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
104	-	-	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))`
60	-	-	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`
20	-	-	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
2	-	-	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`
0	-	-	`a`
0	-	-	`(.f64 #s(literal 4 binary64) (.f64 a c))`
0	-	-	`(*.f64 a c)`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`(*.f64 b b)`
0	-	-	`(*.f64 #s(literal 2 binary64) a)`
0	-	-	`c`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(neg.f64 b)`
0	-	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))`	oflow-rescue	100	0
↳	`(*.f64 b b)`	overflow	79
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	overflow	25
↳	`(*.f64 a c)`	overflow	25
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	overflow	100
`-.f64`	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`	cancellation	60	0
`/.f64`	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`	u/n	19	0
↳	`(*.f64 b b)`	underflow	45
↳	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`	underflow	27
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	underflow	28
↳	`(*.f64 a c)`	underflow	28
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	underflow	4
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))`	uflow-rescue	4	0
↳	`(*.f64 b b)`	underflow	45
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	underflow	28
↳	`(*.f64 a c)`	underflow	28
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	underflow	4
`-.f64`	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	nan-rescue	2	0
↳	`(*.f64 b b)`	overflow	79
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	overflow	25
↳	`(*.f64 a c)`	overflow	25
`/.f64`	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`	n/o	1	0
↳	`(*.f64 #s(literal 2 binary64) a)`	overflow	1

Confusion

	Predicted +	Predicted -
+	132	0
-	16	108

Precision

0.8918918918918919

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	132	0	0
-	16	0	108

Precision?

0.8918918918918919

Recall?

1.0

Freqs

test

number	freq
0	108
1	111
2	36
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

123.0ms	94×	1	valid
31.0ms	338×	0	valid
16.0ms	72×	2	valid
2.0ms	8×	3	valid

Compiler

Compiled 164 to 46 computations (72% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

adjust: 52.0ms (59.5% of total)

ival-mult: 13.0ms (14.9% of total)

ival-sub: 7.0ms (8% of total)

ival-sqrt: 6.0ms (6.9% of total)

ival-div: 5.0ms (5.7% of total)

ival-neg: 2.0ms (2.3% of total)

exact: 1.0ms (1.1% of total)

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

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

preprocess182.0ms (1.8%)

Memory

20.4MiB live, 93.7MiB allocated

Algorithm

1×	egg-herbie

Rules

1 418×	`times-frac`
1 146×	`distribute-rgt-in`
1 120×	`lower-fma.f64`
1 120×	`lower-fma.f32`
974×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	158
1	189	151
2	590	147
3	1942	144
4	4692	144
5	5896	144
6	6384	144
7	6472	144
8	6511	144
9	6782	144
0	14	17
0	23	17
1	45	17
2	104	17
3	247	16
4	409	16
5	743	16
6	1570	16
7	2082	16
8	2242	16
9	2312	16
10	2322	16
11	2322	16
12	2328	16
0	2328	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 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Outputs

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

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

Compiler

Compiled 20 to 14 computations (30% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.5%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Compiler

Compiled 20 to 14 computations (30% saved)

simplify96.0ms (0.9%)

Memory

-7.0MiB live, 30.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

1 120×	`lower-fma.f64`
1 120×	`lower-fma.f32`
744×	`lower-*.f32`
736×	`lower-*.f64`
456×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	70
0	23	70
1	45	70
2	104	70
3	247	69
4	409	69
5	743	69
6	1570	69
7	2082	69
8	2242	69
9	2312	69
10	2322	69
11	2322	69
12	2328	69
0	2328	65

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

localize67.0ms (0.6%)

Memory

1.2MiB live, 47.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.40234375000000006	(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))
accuracy	4.340623332926592	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))
accuracy	14.197211469509472	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))
accuracy	24.341563389008893	(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))

Samples

26.0ms	169×	0	valid
22.0ms	47×	1	valid
8.0ms	36×	2	valid
1.0ms	4×	3	valid

Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-div: 17.0ms (37.9% of total)

ival-mult: 17.0ms (37.9% of total)

ival-sub: 4.0ms (8.9% of total)

ival-sqrt: 3.0ms (6.7% of total)

adjust: 2.0ms (4.5% of total)

ival-neg: 1.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series42.0ms (0.4%)

Memory

4.3MiB live, 40.7MiB allocated

Counts

5 → 156

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
20.0ms	b	@	0	((/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (* b b) (* 4 (* a c))) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c)))))
3.0ms	c	@	inf	((/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (* b b) (* 4 (* a c))) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c)))))
3.0ms	b	@	inf	((/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (* b b) (* 4 (* a c))) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c)))))
2.0ms	a	@	-inf	((/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (* b b) (* 4 (* a c))) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c)))))
2.0ms	c	@	-inf	((/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (* b b) (* 4 (* a c))) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c)))))

simplify234.0ms (2.3%)

Memory

0.0MiB live, 185.3MiB allocated

Algorithm

1×	egg-herbie

Rules

9 868×	`lower-fma.f64`
9 868×	`lower-fma.f32`
7 984×	`lower-*.f64`
7 984×	`lower-*.f32`
2 264×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	545	3138
1	1718	3109
2	5763	3070
0	8125	2910

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 153

Calls

Call 1

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

Outputs
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(fma.f64 (fma.f64 (/.f64 c (.f64 (.f64 b b) b)) a (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) #s(literal 2 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 a (.f64 (.f64 b b) b))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(* -2 b)
(*.f64 #s(literal -2 binary64) b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(fma.f64 (.f64 #s(literal 2 binary64) (fma.f64 c (.f64 a (/.f64 a (.f64 (.f64 b b) b))) (/.f64 a b))) c (*.f64 #s(literal -2 binary64) b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(fma.f64 (fma.f64 (fma.f64 (.f64 a (/.f64 a (.f64 (.f64 b b) b))) #s(literal 2 binary64) (.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 a a) a)) (/.f64 c (pow.f64 b #s(literal 5 binary64))))) c (.f64 (/.f64 a b) #s(literal 2 binary64))) c (*.f64 #s(literal -2 binary64) b))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (.f64 (fma.f64 c (.f64 a (/.f64 a (.f64 (.f64 b b) b))) (/.f64 a b)) #s(literal -2 binary64)) c b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -4 binary64) (.f64 (.f64 a a) a)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (.f64 (.f64 a (/.f64 a (.f64 (.f64 b b) b))) #s(literal -2 binary64))) c (.f64 (/.f64 a b) #s(literal -2 binary64))) c b)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(.f64 (.f64 c #s(literal -1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (.f64 c a))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (.f64 c a))) #s(literal -1/2 binary64) (.f64 (.f64 b (.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c c) (.f64 (.f64 (*.f64 a a) a) c)))))) c)
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (.f64 c a))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/64 binary64) (.f64 (.f64 b (.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c c) (.f64 (.f64 (.f64 a a) a) c))))))) c)
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* c (- (/ (pow b 2) c) (* 4 a)))
(.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (.f64 b b) c)) c)
(* c (- (/ (pow b 2) c) (* 4 a)))
(.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (.f64 b b) c)) c)
(* c (- (/ (pow b 2) c) (* 4 a)))
(.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (.f64 b b) c)) c)
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(.f64 (neg.f64 (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (.f64 c a)))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b c))) c)
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) a) c))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b c)))) 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 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 c #s(literal 5 binary64)) a) (.f64 a a)))) (.f64 (.f64 b b) (.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) a) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b c))))) c)
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 c a)) (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 (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) a) c))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) 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 (fma.f64 #s(literal 1/32 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 c #s(literal 5 binary64)) a) (.f64 a a)))) (.f64 (.f64 b b) (.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) a) c))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))) c)
(* 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 (fma.f64 #s(literal 1/32 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 c #s(literal 5 binary64)) a) (.f64 a a)))) (.f64 (.f64 b b) (.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))))) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) a) c))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))) c)
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(.f64 (neg.f64 c) (-.f64 (.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))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c))) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) c)) c)
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) c))) (.f64 (.f64 b b) (.f64 b b))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/128 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 c (.f64 (.f64 a a) a))) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)))) (neg.f64 c))) c)) c)
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (.f64 b b) c)) c)
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (.f64 b b) c)) c)
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (.f64 b b) c)) c)
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal -2 binary64) (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 (+.f64 (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 b b)) #s(literal 1/4 binary64) (neg.f64 b)) c) (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))) 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 (neg.f64 c) (fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 (+.f64 (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (.f64 b b)) #s(literal -1/4 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c))) (.f64 (.f64 b b) (.f64 b b))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/64 binary64)))) c) b) c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -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 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) a) c))) (.f64 b b)) (*.f64 (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)))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal -1/64 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 b b) (.f64 b b)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 c #s(literal 5 binary64)) a) (.f64 a a)))) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) a) c))) (.f64 b b)) (*.f64 (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))))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 1/512 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))))) (fma.f64 (.f64 #s(literal -1/64 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 b b) (.f64 b b)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 c #s(literal 5 binary64)) a) (.f64 a a)))) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) a) c))) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) #s(literal -1/2 binary64))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
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(.f64 (sqrt.f64 (.f64 c a)) (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 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))) 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)))))
(.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c c) (.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (.f64 (.f64 b b) (.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))) a)
(* 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 (fma.f64 #s(literal 1/32 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c c) (.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (.f64 (.f64 b b) (.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 5 binary64))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))) a)
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 b b)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) b)) (neg.f64 a)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) a) c))) (.f64 (.f64 b b) (.f64 b b))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/128 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)))) (neg.f64 a))) (neg.f64 a)))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(.f64 (fma.f64 #s(literal -4 binary64) c (.f64 b (/.f64 b a))) a)
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(.f64 (fma.f64 #s(literal -4 binary64) c (.f64 b (/.f64 b a))) a)
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(.f64 (fma.f64 #s(literal -4 binary64) c (.f64 b (/.f64 b a))) a)
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b 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 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 b b)) #s(literal 1/4 binary64) (neg.f64 b)) a) (.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))) 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 (neg.f64 a) (fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 (+.f64 (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 b b)) #s(literal -1/4 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) a) c))) (.f64 (.f64 b b) (.f64 b b))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/64 binary64)))) a) b) a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c))) (.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))
(* -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 (neg.f64 a) (fma.f64 (.f64 #s(literal -1/64 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 b b) (.f64 b b)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c c) (.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c))) (.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))))
(* -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 (neg.f64 a) (fma.f64 (.f64 #s(literal 1/512 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 5 binary64))))) (fma.f64 (.f64 #s(literal -1/64 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 b b) (.f64 b b)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c c) (.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c))) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))))

rewrite248.0ms (2.4%)

Memory

-54.5MiB live, 309.0MiB allocated

Rules

5 318×	`lower-fma.f64`
5 318×	`lower-fma.f32`
4 626×	`lower-*.f32`
4 618×	`lower-*.f64`
3 036×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	51
0	23	51
1	81	51
2	591	48
0	8093	44

Stop Event

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

Counts

5 → 512

Calls

Call 1

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

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

eval129.0ms (1.2%)

Memory: 27.6MiB live, 176.1MiB allocated
Compiler: Compiled 25 299 to 2 218 computations (91.2% saved)

prune147.0ms (1.4%)

Memory

-0.1MiB live, 241.8MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	649	16	665
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	650	16	666

Accuracy

91.0%

Counts

666 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.7%	(/.f64 (fma.f64 b b (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (.f64 #s(literal -2 binary64) a)))
▶	35.2%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)))
	29.5%	(/.f64 (-.f64 (.f64 (.f64 b #s(literal -1/2 binary64)) a) (.f64 a (.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) #s(literal 1/2 binary64)))) (*.f64 a a))
▶	50.5%	(/.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a))
	43.5%	(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
	49.6%	(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
▶	34.2%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 #s(literal -4 binary64) (.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
	10.4%	(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
	28.6%	(/.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) b))
	35.3%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))))
	35.2%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) b)) a))
▶	21.3%	(.f64 (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 (.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) #s(literal 4 binary64))))
	35.3%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b)))))
	30.2%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
▶	36.2%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
	30.0%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))

Compiler

Compiled 636 to 400 computations (37.1% saved)

simplify139.0ms (1.3%)

Memory

24.2MiB live, 135.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 b #s(literal 2 binary64))
cost-diff	320	(/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) #s(literal 4 binary64)))
cost-diff	320	(fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 (.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b)))))
cost-diff	1152	(.f64 (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 (.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) #s(literal 4 binary64))))
cost-diff	0	(-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)
cost-diff	0	(/.f64 #s(literal -2 binary64) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b))
cost-diff	0	(/.f64 #s(literal 1 binary64) a)
cost-diff	1088	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)))
cost-diff	0	(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 #s(literal -4 binary64) (.f64 c a))))
cost-diff	0	(neg.f64 b)
cost-diff	0	(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 #s(literal -4 binary64) (.f64 c a)))))
cost-diff	128	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 #s(literal -4 binary64) (.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 c (neg.f64 b))
cost-diff	0	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
cost-diff	0	(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
cost-diff	0	(neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))
cost-diff	0	(-.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) b)
cost-diff	128	(/.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a))

Rules

5 736×	`lower-fma.f32`
5 732×	`lower-fma.f64`
3 596×	`lower-*.f32`
3 576×	`lower-*.f64`
1 306×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	372
0	72	358
1	139	356
2	310	349
3	803	348
4	1899	348
5	4920	348
0	8113	347

Stop Event

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

Calls

Call 1

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

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

localize357.0ms (3.4%)

Memory

-31.7MiB live, 290.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.6829490908252738	(/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) #s(literal 4 binary64)))
accuracy	15.976350834090717	(fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 (.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b)))))
accuracy	24.341563389008893	(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
accuracy	29.20476170178877	(.f64 (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 (.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) #s(literal 4 binary64))))
accuracy	0.40234375000000006	(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
accuracy	2.6297648061801318	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)))
accuracy	12.389734846937575	(-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)
accuracy	24.341563389008893	(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
accuracy	4.340623332926592	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 #s(literal -4 binary64) (.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
accuracy	14.197211469509472	(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 #s(literal -4 binary64) (.f64 c a)))))
accuracy	24.341563389008893	(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 #s(literal -4 binary64) (.f64 c a))))
accuracy	38.07433519322046	#s(approx (- (* b b) (* 4 (* a c))) (.f64 #s(literal -4 binary64) (.f64 c a)))
accuracy	0	(/.f64 c (neg.f64 b))
accuracy	0	(neg.f64 b)
accuracy	40.83422037062898	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
accuracy	0.40234375000000006	(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
accuracy	4.340623332926592	(/.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a))
accuracy	14.197211469509472	(-.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) b)
accuracy	24.341563389008893	(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))

Samples

101.0ms	52×	2	valid
90.0ms	19×	3	valid
54.0ms	98×	0	valid
39.0ms	87×	1	valid

Compiler

Compiled 362 to 40 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

ival-sqrt: 80.0ms (48.2% of total)

ival-mult: 40.0ms (24.1% of total)

ival-div: 16.0ms (9.6% of total)

adjust: 11.0ms (6.6% of total)

ival-sub: 8.0ms (4.8% of total)

ival-add: 7.0ms (4.2% of total)

ival-neg: 3.0ms (1.8% of total)

exact: 1.0ms (0.6% of total)

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

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

series75.0ms (0.7%)

Memory

6.3MiB live, 91.6MiB allocated

Counts

20 → 612

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	b	@	0	((/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (neg (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (neg b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt (- (* b b) (* 4 (* a c)))) (/ (/ 1 a) (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/ 1 a) (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (* (+ (* (* b 2) a) (* (* -2 a) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1 (* (* a a) 4))) (+ (* (* b 2) a) (* (* -2 a) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1 (* (* a a) 4)) (* b 2) (+ (* -4 (* c a)) (* b b)) (- (* b b) (* 4 (* a c))))
8.0ms	a	@	-inf	((/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (neg (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (neg b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt (- (* b b) (* 4 (* a c)))) (/ (/ 1 a) (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/ 1 a) (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (* (+ (* (* b 2) a) (* (* -2 a) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1 (* (* a a) 4))) (+ (* (* b 2) a) (* (* -2 a) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1 (* (* a a) 4)) (* b 2) (+ (* -4 (* c a)) (* b b)) (- (* b b) (* 4 (* a c))))
6.0ms	b	@	inf	((/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (neg (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (neg b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt (- (* b b) (* 4 (* a c)))) (/ (/ 1 a) (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/ 1 a) (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (* (+ (* (* b 2) a) (* (* -2 a) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1 (* (* a a) 4))) (+ (* (* b 2) a) (* (* -2 a) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1 (* (* a a) 4)) (* b 2) (+ (* -4 (* c a)) (* b b)) (- (* b b) (* 4 (* a c))))
5.0ms	c	@	0	((/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (neg (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (neg b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt (- (* b b) (* 4 (* a c)))) (/ (/ 1 a) (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/ 1 a) (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (* (+ (* (* b 2) a) (* (* -2 a) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1 (* (* a a) 4))) (+ (* (* b 2) a) (* (* -2 a) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1 (* (* a a) 4)) (* b 2) (+ (* -4 (* c a)) (* b b)) (- (* b b) (* 4 (* a c))))
4.0ms	c	@	inf	((/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (neg (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (neg b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt (- (* b b) (* 4 (* a c)))) (/ (/ 1 a) (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/ 1 a) (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (- (sqrt (+ (* -4 (* c a)) (* b b))) b) (* (+ (* (* b 2) a) (* (* -2 a) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1 (* (* a a) 4))) (+ (* (* b 2) a) (* (* -2 a) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1 (* (* a a) 4)) (* b 2) (+ (* -4 (* c a)) (* b b)) (- (* b b) (* 4 (* a c))))

simplify388.0ms (3.7%)

Memory

17.1MiB live, 204.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 272×	`lower-fma.f64`
8 272×	`lower-fma.f32`
7 660×	`lower-*.f64`
7 660×	`lower-*.f32`
5 314×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1279	13418
1	4250	13091
0	9063	12539

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 605

Calls

Call 1

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

Outputs
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(fma.f64 (fma.f64 (/.f64 c (.f64 (.f64 b b) b)) a (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 2 binary64) (/.f64 a (.f64 (.f64 b b) b))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a))
(* -2 b)
(*.f64 #s(literal -2 binary64) b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b)))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(fma.f64 (fma.f64 (/.f64 (.f64 (.f64 a a) c) (.f64 (.f64 b b) b)) #s(literal 2 binary64) (.f64 (/.f64 a b) #s(literal 2 binary64))) c (.f64 #s(literal -2 binary64) b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 4 binary64) (.f64 (/.f64 (.f64 a a) (.f64 (.f64 b b) b)) #s(literal 2 binary64))) c (.f64 (/.f64 a b) #s(literal 2 binary64))) c (*.f64 #s(literal -2 binary64) b))
(* -1 b)
(neg.f64 b)
(- (* 2 (/ (* a c) b)) b)
(-.f64 (.f64 (.f64 a (/.f64 c b)) #s(literal 2 binary64)) b)
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) b)
(fma.f64 (fma.f64 (/.f64 (.f64 (.f64 a a) c) (.f64 (.f64 b b) b)) #s(literal 2 binary64) (*.f64 (/.f64 a b) #s(literal 2 binary64))) c (neg.f64 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) b)
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 4 binary64) (.f64 (/.f64 (.f64 a a) (.f64 (.f64 b b) b)) #s(literal 2 binary64))) c (.f64 (/.f64 a b) #s(literal 2 binary64))) c (neg.f64 b))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (/.f64 (.f64 (.f64 a a) c) (.f64 (*.f64 b b) b)))) c b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (.f64 (.f64 (.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (.f64 (.f64 b b) b))) c (.f64 (/.f64 a b) #s(literal -2 binary64))) c b)
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(fma.f64 (fma.f64 (/.f64 c (.f64 (.f64 b b) b)) a (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 2 binary64) (/.f64 a (.f64 (.f64 b b) b))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a))
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(fma.f64 (fma.f64 (/.f64 c (.f64 (.f64 b b) b)) a (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 2 binary64) (/.f64 a (.f64 (.f64 b b) b))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a))
(* -2 b)
(*.f64 #s(literal -2 binary64) b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b)))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(fma.f64 (fma.f64 (/.f64 (.f64 (.f64 a a) c) (.f64 (.f64 b b) b)) #s(literal 2 binary64) (.f64 (/.f64 a b) #s(literal 2 binary64))) c (.f64 #s(literal -2 binary64) b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 4 binary64) (.f64 (/.f64 (.f64 a a) (.f64 (.f64 b b) b)) #s(literal 2 binary64))) c (.f64 (/.f64 a b) #s(literal 2 binary64))) c (*.f64 #s(literal -2 binary64) b))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (/.f64 (.f64 (.f64 a a) c) (.f64 (*.f64 b b) b)))) c b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (.f64 (.f64 (.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (.f64 (.f64 b b) b))) c (.f64 (/.f64 a b) #s(literal -2 binary64))) c b)
(/ c b)
(/.f64 c b)
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(.f64 (fma.f64 (/.f64 c (.f64 (*.f64 b b) b)) a (/.f64 #s(literal 1 binary64) b)) c)
(* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 2 binary64) (/.f64 a (.f64 (*.f64 b b) b))) c (/.f64 #s(literal 1 binary64) b)) c)
(* c (+ (* c (+ (* c (+ (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 c (/.f64 (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) (.f64 a b))) #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 a (.f64 (.f64 b b) b))) c (/.f64 #s(literal 1 binary64) b)) c)
(/ b (* a c))
(/.f64 b (*.f64 c a))
(/ (+ (* -1 (/ c b)) (/ b a)) c)
(/.f64 (-.f64 (/.f64 b a) (/.f64 c b)) c)
(/ (+ (* c (- (* -1 (* c (+ (* -1 (/ a (pow b 3))) (* 2 (/ a (pow b 3)))))) (/ 1 b))) (/ b a)) c)
(/.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 a (.f64 (.f64 b b) b)) (/.f64 #s(literal -1 binary64) b)) c (/.f64 b a)) c)
(/ (+ (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 2 (/ a (pow b 3))))) (pow b 2))) (* 1/4 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))))))) (+ (* -1 (/ a (pow b 3))) (* 2 (/ a (pow b 3)))))) (/ 1 b))) (/ b a)) c)
(/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (fma.f64 (.f64 b (/.f64 (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) (.f64 a a))) #s(literal 1/4 binary64) (.f64 (neg.f64 a) (/.f64 (/.f64 a (.f64 (.f64 b b) b)) (.f64 b b))))) c (/.f64 a (.f64 (.f64 b b) b)))) c (/.f64 #s(literal -1 binary64) b)) c (/.f64 b a)) c)
(* -2 (/ (* a c) b))
(.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(.f64 (.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (/.f64 (.f64 (.f64 a a) c) (.f64 (.f64 b b) b)))) c)
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (.f64 (.f64 (.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (.f64 (.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
(* 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 (fma.f64 (fma.f64 (fma.f64 (.f64 c (/.f64 (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -4 binary64) (.f64 (.f64 a a) a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (.f64 (.f64 b b) b))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
(* 1/4 (/ (+ (* -2 (* a b)) (* 2 (* a b))) (pow a 2)))
(/.f64 #s(literal 0 binary64) (*.f64 a a))
(+ (* 1/4 (/ (+ (* -2 (* a b)) (* 2 (* a b))) (pow a 2))) (/ c b))
(+.f64 (/.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 c b))
(+ (* 1/4 (/ (+ (* -2 (* a b)) (* 2 (* a b))) (pow a 2))) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(fma.f64 (fma.f64 (/.f64 c (.f64 (.f64 b b) b)) a (/.f64 #s(literal 1 binary64) b)) c (/.f64 #s(literal 0 binary64) (*.f64 a a)))
(+ (* 1/4 (/ (+ (* -2 (* a b)) (* 2 (* a b))) (pow a 2))) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 2 binary64) (/.f64 a (.f64 (.f64 b b) b))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 #s(literal 0 binary64) (*.f64 a a)))
(+ (* -2 (* a b)) (* 2 (* a b)))
#s(literal 0 binary64)
(+ (* -2 (* a b)) (+ (* 2 (* a b)) (* 4 (/ (* (pow a 2) c) b))))
(+.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (*.f64 a a) c) b) #s(literal 4 binary64)))
(+ (* -2 (* a b)) (+ (* 2 (* a b)) (* c (+ (* 4 (/ (* (pow a 3) c) (pow b 3))) (* 4 (/ (pow a 2) b))))))
(+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 4 binary64) (fma.f64 (.f64 (.f64 a a) a) (/.f64 c (.f64 (.f64 b b) b)) (/.f64 (*.f64 a a) b))) c))
(+ (* -2 (* a b)) (+ (* 2 (* a b)) (* c (+ (* 4 (/ (pow a 2) b)) (* c (+ (* 4 (/ (pow a 3) (pow b 3))) (* 8 (/ (* (pow a 4) c) (pow b 5)))))))))
(+.f64 #s(literal 0 binary64) (.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 8 binary64) (/.f64 (.f64 #s(literal 4 binary64) (.f64 (.f64 a a) a)) (.f64 (.f64 b b) b))) c (.f64 (/.f64 (*.f64 a a) b) #s(literal 4 binary64))) c))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (.f64 c a)))) c)
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (.f64 c a))) (.f64 (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) c) (.f64 (*.f64 a a) a))))) #s(literal -1/4 binary64))) c)
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (.f64 c a))) (fma.f64 (.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 5 binary64)))))) #s(literal 1/16 binary64) (.f64 (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) c) (.f64 (.f64 a a) a))))) #s(literal -1/4 binary64)))) c)
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(.f64 (neg.f64 (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (.f64 c a)))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b c))) c)
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) c) a)))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b c)))) 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 (-.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) (.f64 (.f64 a a) a)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) c) a))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b c)))) c)
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(.f64 (neg.f64 (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (.f64 c a)))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) c) a)))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (neg.f64 (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 a c)))) 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 (-.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) (.f64 (.f64 a a) a)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) c) a))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))) c)
(* c (- (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* -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 (-.f64 (fma.f64 (.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64)))))) #s(literal -1/16 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) (.f64 (.f64 a a) a)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) c) a))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))) c)
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 c a)) (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))))
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(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (neg.f64 a) (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (neg.f64 b)) (neg.f64 a)) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64))))
(* -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 (neg.f64 a) (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) c) a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/4 binary64))) (neg.f64 a)) b) (neg.f64 a)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) #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 (neg.f64 a) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))))
(* -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 (neg.f64 a) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 (.f64 c c) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b))))))
(* -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 (neg.f64 a) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 (.f64 c c) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 5 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal 1/2 binary64) (/.f64 b a)))
(+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (*.f64 #s(literal -1/2 binary64) b)) (neg.f64 a)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 #s(literal -1/2 binary64) b (/.f64 (fma.f64 (.f64 #s(literal -1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) c) a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 a c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) (neg.f64 a))) (neg.f64 a)))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(* (sqrt (/ 1 (* a c))) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))))
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1/2 (/ b c))) a))
(/.f64 (-.f64 (.f64 (/.f64 b c) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (neg.f64 a))
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* a b) c))) a))) a))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 a (.f64 (.f64 c c) c))) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (.f64 (*.f64 a (/.f64 b c)) #s(literal 1/2 binary64))) a))) (neg.f64 a))
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (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)))) (* 1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/2 (/ (* a b) c))) a))) a))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 b b) b) a) (.f64 c c)) #s(literal -1/16 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 a a) a) (.f64 (.f64 c c) c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b))) #s(literal 1/8 binary64))) (.f64 (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 a a) a) (.f64 (.f64 c c) c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b))) #s(literal -1/8 binary64)))) (neg.f64 a)) (.f64 (.f64 a (/.f64 b c)) #s(literal -1/2 binary64))) a))) (neg.f64 a))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) #s(literal -2 binary64))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(.f64 (neg.f64 a) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64) (/.f64 b a)))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal 2 binary64) (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 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (neg.f64 b)) (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 (neg.f64 a) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 a c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) c) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 a)) b) (neg.f64 a))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal 1/2 binary64) (/.f64 b a)))
(+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (*.f64 #s(literal -1/2 binary64) b)) (neg.f64 a)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 #s(literal -1/2 binary64) b (/.f64 (fma.f64 (.f64 #s(literal -1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) c) a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 a c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) (neg.f64 a))) (neg.f64 a)))
(* 4 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 (.f64 (*.f64 a a) a) c))) #s(literal 4 binary64))
(* (pow a 2) (+ (* 2 (/ b a)) (* 4 (* (sqrt (/ c a)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (/.f64 b a))) (.f64 a a))
(* (pow a 2) (+ (* -1 (/ (+ (* -2 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 4 (* (sqrt (/ c a)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 #s(literal 4 binary64) (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 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 #s(literal -2 binary64) b)) (neg.f64 a))) (.f64 a a))
(* (pow a 2) (+ (* -1 (/ (+ (* -2 b) (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 4 (* (sqrt (/ c a)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) b (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal -1/32 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) c) a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 a))) (neg.f64 a))) (.f64 a a))
(/ 1/4 (pow a 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 a a))
(/ 1/4 (pow a 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 a a))
(/ 1/4 (pow a 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 a a))
(/ 1/4 (pow a 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 a a))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (.f64 b b) a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (.f64 b b) a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (.f64 b b) a))))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (.f64 b b) a))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (.f64 b b) a))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (.f64 b b) a))))

rewrite610.0ms (5.9%)

Memory

10.5MiB live, 418.1MiB allocated

Rules

5 436×	`lower-fma.f32`
5 432×	`lower-fma.f64`
4 594×	`lower-*.f32`
4 574×	`lower-*.f64`
4 458×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	254
0	72	247
1	280	243
2	2063	240
0	8987	240

Stop Event

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

Counts

20 → 1 117

Calls

Call 1

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

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

eval469.0ms (4.5%)

Memory: 23.5MiB live, 552.2MiB allocated
Compiler: Compiled 73 661 to 5 904 computations (92% saved)

prune482.0ms (4.7%)

Memory

-27.3MiB live, 600.0MiB allocated

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	2 121	21	2 142
Fresh	9	2	11
Picked	3	2	5
Done	0	0	0
Total	2 133	25	2 158

Accuracy

91.0%

Counts

2 158 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.0%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))) b)))
▶	10.2%	(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (-.f64 (/.f64 b c) (/.f64 a b)) a)))
	9.7%	(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 b (*.f64 c a))))
	2.9%	(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 #s(literal 1 binary64) b)))
	10.1%	(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) b)))
	25.3%	(/.f64 (-.f64 (.f64 b b) #s(approx (- ( b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64)))) (.f64 (.f64 #s(literal 2 binary64) a) (+.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64)))) (neg.f64 b))))
	49.6%	(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
✓	34.2%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 #s(literal -4 binary64) (.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
▶	50.5%	(/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
	32.8%	(/.f64 (.f64 (-.f64 (.f64 b b) #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64)))) (neg.f64 b)))
	35.2%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) a))
	50.5%	(/.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 a (+.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))))
	35.3%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))))
	14.6%	(.f64 (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 (.f64 #s(literal -2 binary64) a) (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) #s(literal 4 binary64))))
▶	34.1%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- ( b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64))))))
	2.0%	(.f64 #s(approx (+ ( (* b 2) a) (* (* -2 a) (sqrt (+ (* -4 (* c a)) (* b b))))) (.f64 (.f64 #s(literal 4 binary64) a) b)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) #s(literal 4 binary64))))
	9.7%	#s(approx (/ (/ 1 a) (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/.f64 c b))
	2.9%	#s(approx (/ (/ 1 a) (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/.f64 b a))
	30.2%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (neg.f64 b) a))
▶	30.0%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
	25.6%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b))))
✓	36.2%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
	36.1%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
	19.2%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 b) c)) #s(literal -1 binary64))))
▶	10.4%	#s(approx (* (+ (* (* b 2) a) (* (* -2 a) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1 (* (* a a) 4))) (/.f64 #s(literal 0 binary64) a))

Compiler

Compiled 769 to 493 computations (35.9% saved)

simplify147.0ms (1.4%)

Memory

-11.3MiB live, 137.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (-.f64 (/.f64 b c) (/.f64 a b)) a))
cost-diff	0	(/.f64 #s(literal 1 binary64) a)
cost-diff	384	(/.f64 (-.f64 (/.f64 b c) (/.f64 a b)) a)
cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (-.f64 (/.f64 b c) (/.f64 a b)) a)))
cost-diff	0	(neg.f64 b)
cost-diff	0	(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64)))))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) a)
cost-diff	128	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- ( b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64))))))
cost-diff	0	(/.f64 b a)
cost-diff	0	(/.f64 c b)
cost-diff	0	(-.f64 (/.f64 c b) (/.f64 b a))
cost-diff	0	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
cost-diff	0	#s(approx (* (+ (* (* b 2) a) (* (* -2 a) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1 (* (* a a) 4))) (/.f64 #s(literal 0 binary64) a))
cost-diff	704	(/.f64 #s(literal 0 binary64) a)
cost-diff	0	(fma.f64 (.f64 a c) #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	(+.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b)
cost-diff	0	(/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))

Rules

6 374×	`lower-fma.f32`
6 372×	`lower-fma.f64`
3 426×	`lower-*.f32`
3 416×	`lower-*.f64`
2 268×	`lower-/.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	60	307
0	83	295
1	150	293
2	303	290
3	716	287
4	1796	285
5	4619	281
0	8051	281

Stop Event

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

Calls

Call 1

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

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

localize232.0ms (2.2%)

Memory

59.7MiB live, 428.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(-.f64 (/.f64 b c) (/.f64 a b))
accuracy	2.6297648061801318	(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (-.f64 (/.f64 b c) (/.f64 a b)) a)))
accuracy	11.154841940094396	(/.f64 (-.f64 (/.f64 b c) (/.f64 a b)) a)
accuracy	44.84507681546795	#s(approx (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (-.f64 (/.f64 b c) (/.f64 a b)) a))
accuracy	4.253417227487345	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- ( b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64))))))
accuracy	14.197211469509472	(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64)))))
accuracy	24.341563389008893	(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64))))
accuracy	38.07433519322046	#s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64)))
accuracy	0	(/.f64 c b)
accuracy	0	(/.f64 b a)
accuracy	0.0078125	(-.f64 (/.f64 c b) (/.f64 b a))
accuracy	44.829545016749165	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
accuracy	0	(/.f64 #s(literal 0 binary64) a)
accuracy	57.05655164525255	#s(approx (* (+ (* (* b 2) a) (* (* -2 a) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1 (* (* a a) 4))) (/.f64 #s(literal 0 binary64) a))
accuracy	0.40234375000000006	(fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))
accuracy	4.340623332926592	(/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
accuracy	14.197211469509472	(+.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b)
accuracy	24.341563389008893	(sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))

Samples

63.0ms	87×	1	valid
49.0ms	52×	2	valid
31.0ms	98×	0	valid
22.0ms	19×	3	valid

Compiler

Compiled 257 to 55 computations (78.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-div: 40.0ms (33% of total)

ival-mult: 28.0ms (23.1% of total)

adjust: 16.0ms (13.2% of total)

ival-add: 13.0ms (10.7% of total)

ival-sub: 11.0ms (9.1% of total)

ival-sqrt: 9.0ms (7.4% of total)

ival-neg: 3.0ms (2.5% of total)

exact: 1.0ms (0.8% of total)

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

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

series63.0ms (0.6%)

Memory

-15.3MiB live, 106.6MiB allocated

Counts

21 → 636

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
15.0ms	c	@	0	((/ (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (sqrt (+ (* (* a c) -4) (* b b))) (+ (* (* a c) -4) (* b b)) (/ 0 a) (* (+ (* (* b 2) a) (* (* -2 a) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1 (* (* a a) 4))) (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (- (/ c b) (/ b a)) (/ c b) (/ b a) (* (/ 1/2 a) (- (neg b) (sqrt (- (* b b) (* 4 (* a c)))))) (/ 1/2 a) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (/ (/ 1 a) (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/ (- (/ b c) (/ a b)) a) (/ 1 a) (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (- (* b b) (* 4 (* a c))) (sqrt (- (* b b) (* 4 (* a c)))) (- (/ b c) (/ a b)))
3.0ms	b	@	-inf	((/ (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (sqrt (+ (* (* a c) -4) (* b b))) (+ (* (* a c) -4) (* b b)) (/ 0 a) (* (+ (* (* b 2) a) (* (* -2 a) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1 (* (* a a) 4))) (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (- (/ c b) (/ b a)) (/ c b) (/ b a) (* (/ 1/2 a) (- (neg b) (sqrt (- (* b b) (* 4 (* a c)))))) (/ 1/2 a) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (/ (/ 1 a) (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/ (- (/ b c) (/ a b)) a) (/ 1 a) (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (- (* b b) (* 4 (* a c))) (sqrt (- (* b b) (* 4 (* a c)))) (- (/ b c) (/ a b)))
3.0ms	a	@	-inf	((/ (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (sqrt (+ (* (* a c) -4) (* b b))) (+ (* (* a c) -4) (* b b)) (/ 0 a) (* (+ (* (* b 2) a) (* (* -2 a) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1 (* (* a a) 4))) (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (- (/ c b) (/ b a)) (/ c b) (/ b a) (* (/ 1/2 a) (- (neg b) (sqrt (- (* b b) (* 4 (* a c)))))) (/ 1/2 a) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (/ (/ 1 a) (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/ (- (/ b c) (/ a b)) a) (/ 1 a) (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (- (* b b) (* 4 (* a c))) (sqrt (- (* b b) (* 4 (* a c)))) (- (/ b c) (/ a b)))
2.0ms	b	@	inf	((/ (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (sqrt (+ (* (* a c) -4) (* b b))) (+ (* (* a c) -4) (* b b)) (/ 0 a) (* (+ (* (* b 2) a) (* (* -2 a) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1 (* (* a a) 4))) (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (- (/ c b) (/ b a)) (/ c b) (/ b a) (* (/ 1/2 a) (- (neg b) (sqrt (- (* b b) (* 4 (* a c)))))) (/ 1/2 a) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (/ (/ 1 a) (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/ (- (/ b c) (/ a b)) a) (/ 1 a) (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (- (* b b) (* 4 (* a c))) (sqrt (- (* b b) (* 4 (* a c)))) (- (/ b c) (/ a b)))
2.0ms	a	@	inf	((/ (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* (* a c) -4) (* b b))) b) (sqrt (+ (* (* a c) -4) (* b b))) (+ (* (* a c) -4) (* b b)) (/ 0 a) (* (+ (* (* b 2) a) (* (* -2 a) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1 (* (* a a) 4))) (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (- (/ c b) (/ b a)) (/ c b) (/ b a) (* (/ 1/2 a) (- (neg b) (sqrt (- (* b b) (* 4 (* a c)))))) (/ 1/2 a) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (/ (/ 1 a) (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/ (- (/ b c) (/ a b)) a) (/ 1 a) (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (- (* b b) (* 4 (* a c))) (sqrt (- (* b b) (* 4 (* a c)))) (- (/ b c) (/ a b)))

simplify187.0ms (1.8%)

Memory

-6.9MiB live, 347.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 506×	`lower-fma.f64`
8 506×	`lower-fma.f32`
6 416×	`lower-*.f64`
6 416×	`lower-*.f32`
5 594×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1066	11367
1	3496	11032
0	8364	10552

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 630

Calls

Call 1

Inputs
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 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))))))))
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))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* 1/4 (/ (+ (* -2 (* a b)) (* 2 (* a b))) (pow a 2)))
(+ (* 1/4 (/ (+ (* -2 (* a b)) (* 2 (* a b))) (pow a 2))) (/ c b))
(+ (* 1/4 (/ (+ (* -2 (* a b)) (* 2 (* a b))) (pow a 2))) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* 1/4 (/ (+ (* -2 (* a b)) (* 2 (* a b))) (pow a 2))) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1 (/ b a))
(- (/ c b) (/ b a))
(- (/ c b) (/ b a))
(- (/ c b) (/ b a))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(/ c b)
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))
(* c (+ (* c (+ (* c (+ (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b)))
(/ b (* a c))
(/ (+ (* -1 (/ c b)) (/ b a)) c)
(/ (+ (* -1 (/ c b)) (/ b a)) c)
(/ (+ (* -1 (/ c b)) (/ b a)) c)
(/ b (* a c))
(/ (+ (* -1 (/ c b)) (/ b a)) c)
(/ (+ (* c (- (* -1 (* c (+ (* -1 (/ a (pow b 3))) (* 2 (/ a (pow b 3)))))) (/ 1 b))) (/ b a)) c)
(/ (+ (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 2 (/ a (pow b 3))))) (pow b 2))) (* 1/4 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))))))) (+ (* -1 (/ a (pow b 3))) (* 2 (/ a (pow b 3)))))) (/ 1 b))) (/ b a)) c)
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
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))))))))
(/ b c)
(/ (+ b (* -1 (/ (* a c) b))) c)
(/ (+ b (* -1 (/ (* a c) b))) c)
(/ (+ b (* -1 (/ (* a c) b))) c)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 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)))))
(* (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))))))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b (* a c))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b (* a c)))))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(/ 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)
(/ c b)
(/ c b)
(/ c b)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* -1 (* (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)))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b (* a c))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b (* a c)))))))
(/ -1 b)
(- (/ b (* a c)) (/ 1 b))
(- (/ b (* a c)) (/ 1 b))
(- (/ b (* a c)) (/ 1 b))
(* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(/ (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) c)
(/ (- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) c)
(/ (- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))))) c)
(* -4 (* a c))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* (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))))))
(* -1 (/ a b))
(- (/ b c) (/ a b))
(- (/ b c) (/ a b))
(- (/ b c) (/ a b))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) 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 (* (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))))))))
(* -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))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* 1/2 (/ b a))) c)))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(/ c b)
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -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))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* 1/2 (/ b a))) c)))))
(/ -1 b)
(- (/ b (* a c)) (/ 1 b))
(- (/ b (* a c)) (/ 1 b))
(- (/ b (* a c)) (/ 1 b))
(* (sqrt (/ 1 (* a c))) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) c))
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c))) c))
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c))) 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))))
(* -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 (/ a b))
(- (/ b c) (/ a b))
(- (/ b c) (/ a b))
(- (/ b c) (/ a b))
(* -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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 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)))
(* (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)))))))))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(/ c b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(* -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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -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)))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(/ -1 b)
(/ (- (/ (pow b 2) (* a c)) 1) b)
(/ (- (/ (pow b 2) (* a c)) 1) b)
(/ (- (/ (pow b 2) (* a c)) 1) b)
(* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* -2 (/ b (* a (* c (pow (sqrt -4) 2))))))
(+ (* -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)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2))))))))
(+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (- (* b (- (* b (- (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 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)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2))))))))
(* -4 (* a c))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(* (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)))))))))
(* -1 (/ a b))
(/ (- (/ (pow b 2) c) a) b)
(/ (- (/ (pow b 2) c) a) b)
(/ (- (/ (pow b 2) c) a) b)
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* 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)))))))
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)))))))
(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)))))
(* 1/4 (/ (* b (+ (* -2 a) (* 2 a))) (pow a 2)))
(* b (+ (* 1/4 (/ (+ (* -2 a) (* 2 a)) (pow a 2))) (/ c (pow b 2))))
(* b (+ (* 1/4 (/ (+ (* -2 a) (* 2 a)) (pow a 2))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))))
(* b (+ (* 1/4 (/ (+ (* -2 a) (* 2 a)) (pow a 2))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -2 b)
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(/ c b)
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)
(/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)
(/ b (* a c))
(* b (- (/ 1 (* a c)) (/ 1 (pow b 2))))
(* b (- (/ 1 (* a c)) (/ 1 (pow b 2))))
(* b (- (/ 1 (* a c)) (/ 1 (pow b 2))))
(/ b (* a c))
(* b (- (/ 1 (* a c)) (/ 1 (pow b 2))))
(* b (- (+ (* -1 (/ (+ (* -1 (* a c)) (* 2 (* a c))) (pow b 4))) (/ 1 (* a c))) (/ 1 (pow b 2))))
(* b (- (+ (* -1 (/ (+ (* -2 (* (pow a 2) (pow c 2))) (+ (* -1 (* a (* c (+ (* -1 (* a c)) (* 2 (* a c)))))) (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))))) (pow b 6))) (/ 1 (* a c))) (+ (* -1 (/ (* a c) (pow b 4))) (+ (* 2 (/ (* a c) (pow b 4))) (/ 1 (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)))))
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)))))))
(/ b c)
(* b (+ (* -1 (/ a (pow b 2))) (/ 1 c)))
(* b (+ (* -1 (/ a (pow b 2))) (/ 1 c)))
(* b (+ (* -1 (/ a (pow b 2))) (/ 1 c)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* 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))
(* -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)
(* (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)))))
(/ b a)
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -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))))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -2 (/ (* a c) b))
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) 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 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -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 b)
(* -1 b)
(* -1 b)
(* -1 b)
(/ b a)
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))))
(/ b (* a c))
(* -1 (* b (- (/ 1 (pow b 2)) (/ 1 (* a c)))))
(* -1 (* b (- (/ 1 (pow b 2)) (/ 1 (* a c)))))
(* -1 (* b (- (/ 1 (pow b 2)) (/ 1 (* a c)))))
(/ 1 b)
(* -1 (/ (- (* -1 (/ (* a c) (pow b 2))) 1) b))
(* -1 (/ (- (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 1 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (- (* -1 (/ (+ (* 4 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))) (pow b 6))) (+ 1 (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (/ (* a c) (pow b 2))))) b))
(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 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 c)
(* -1 (* b (- (/ a (pow b 2)) (/ 1 c))))
(* -1 (* b (- (/ a (pow b 2)) (/ 1 c))))
(* -1 (* b (- (/ a (pow b 2)) (/ 1 c))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* 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))))))))
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))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
0
0
0
0
(* 1/4 (/ (+ (* -2 b) (* 2 b)) a))
(/ (+ (* 1/4 (+ (* -2 b) (* 2 b))) (/ (* a c) b)) a)
(/ (+ (* 1/4 (+ (* -2 b) (* 2 b))) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* 1/4 (+ (* -2 b) (* 2 b))) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1 (/ b a))
(/ (- (/ (* a c) b) b) a)
(/ (- (/ (* a c) b) b) a)
(/ (- (/ (* a c) b) b) a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(/ c b)
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
(+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))
(+ (* a (+ (* a (+ (* 1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b))
(/ b (* a c))
(/ (+ (* -1 (/ a b)) (/ b c)) a)
(/ (+ (* -1 (/ a b)) (/ b c)) a)
(/ (+ (* -1 (/ a b)) (/ b c)) a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ b (* a c))
(/ (+ (* -1 (/ a b)) (/ b c)) a)
(/ (+ (* a (- (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 2 (/ c (pow b 3)))))) (/ 1 b))) (/ b c)) a)
(/ (+ (* a (- (* a (- (* -1 (* a (+ (* -2 (/ (pow c 2) (pow b 5))) (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 2 (/ c (pow b 3))))) (pow b 2))) (* 1/4 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))))))) (+ (* -1 (/ c (pow b 3))) (* 2 (/ c (pow b 3)))))) (/ 1 b))) (/ b c)) a)
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
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))))))))
(/ b c)
(+ (* -1 (/ a b)) (/ b c))
(+ (* -1 (/ a b)) (/ b c))
(+ (* -1 (/ a b)) (/ b c))
(* -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))) (+ (* -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)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 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)))))
(* (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))))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
0
0
0
0
(* -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))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b a))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b a)))))
(* -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))) (+ (* -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)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(* -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))) (+ (* -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)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* -1 (* (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)))))
(* -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))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b a))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b a)))))
(/ -1 b)
(- (/ b (* a c)) (/ 1 b))
(- (/ b (* a c)) (/ 1 b))
(- (/ b (* a c)) (/ 1 b))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(/ (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -2 (/ b (* c (pow (sqrt -4) 2))))) a)
(/ (- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))) a)
(/ (- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))))) a)
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* (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))))))
(* -1 (/ a b))
(* a (- (/ b (* a c)) (/ 1 b)))
(* a (- (/ b (* a c)) (/ 1 b)))
(* a (- (/ b (* a c)) (/ 1 b)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -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))))))
(* -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))))))))
(* -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))))
0
0
0
0
(* (sqrt (/ c a)) (sqrt -1))
(+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -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 (/ c a)) (sqrt -1))
(+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(/ -1 b)
(- (/ b (* a c)) (/ 1 b))
(- (/ b (* a c)) (/ 1 b))
(- (/ b (* a c)) (/ 1 b))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(* (sqrt (/ 1 (* a c))) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1/2 (/ b c))) a))
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* a b) c))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (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)))) (* 1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/2 (/ (* a b) c))) a))) 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))))
(* -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))))))))
(* -1 (/ a b))
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ 1 b))))
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ 1 b))))
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ 1 b))))

Outputs
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(fma.f64 (fma.f64 (/.f64 c (.f64 (.f64 b b) b)) a (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 2 binary64) (/.f64 a (.f64 (.f64 b b) b))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a))
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(fma.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64) (.f64 #s(literal 2 binary64) b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (.f64 a a) (/.f64 c (.f64 (.f64 b b) b)) (/.f64 a b))) c (*.f64 #s(literal 2 binary64) b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 a a) (.f64 (.f64 b b) b)) #s(literal -2 binary64) (/.f64 (.f64 #s(literal -4 binary64) (.f64 (.f64 (.f64 a a) a) c)) (pow.f64 b #s(literal 5 binary64)))) c (.f64 (/.f64 a b) #s(literal -2 binary64))) c (*.f64 #s(literal 2 binary64) b))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (.f64 a a) (/.f64 c (.f64 (.f64 b b) b)) (/.f64 a b))) c b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 a a) (.f64 (.f64 b b) b)) #s(literal -2 binary64) (/.f64 (.f64 #s(literal -4 binary64) (.f64 (.f64 (.f64 a a) a) c)) (pow.f64 b #s(literal 5 binary64)))) c (.f64 (/.f64 a b) #s(literal -2 binary64))) c b)
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(* 1/4 (/ (+ (* -2 (* a b)) (* 2 (* a b))) (pow a 2)))
(/.f64 #s(literal 0 binary64) (*.f64 a a))
(+ (* 1/4 (/ (+ (* -2 (* a b)) (* 2 (* a b))) (pow a 2))) (/ c b))
(+.f64 (/.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 c b))
(+ (* 1/4 (/ (+ (* -2 (* a b)) (* 2 (* a b))) (pow a 2))) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(fma.f64 (fma.f64 (/.f64 c (.f64 (.f64 b b) b)) a (/.f64 #s(literal 1 binary64) b)) c (/.f64 #s(literal 0 binary64) (*.f64 a a)))
(+ (* 1/4 (/ (+ (* -2 (* a b)) (* 2 (* a b))) (pow a 2))) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 2 binary64) (/.f64 a (.f64 (.f64 b b) b))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 #s(literal 0 binary64) (*.f64 a a)))
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(fma.f64 (fma.f64 (/.f64 c (.f64 (.f64 b b) b)) a (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 2 binary64) (/.f64 a (.f64 (.f64 b b) b))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a))
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(.f64 (neg.f64 a) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 (.f64 c c) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b))))))
(* -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 (neg.f64 a) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 5 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 (.f64 c c) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))))))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (.f64 b b) a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (.f64 b b) a))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (.f64 b b) a))))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal 1/2 binary64) (/.f64 b a)))
(+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (*.f64 #s(literal -1/2 binary64) b)) (neg.f64 a)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 #s(literal -1/2 binary64) b (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 a c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal -1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) c) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 a))) (neg.f64 a)))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (*.f64 #s(literal 1/2 binary64) b)) (neg.f64 a)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 a c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal -1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) c) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 a))) (neg.f64 a)))
(/ c b)
(/.f64 c b)
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (*.f64 #s(literal 1/2 binary64) b)) (neg.f64 a)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 a c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal -1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) c) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 a))) (neg.f64 a)))
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) #s(literal 2 binary64))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (neg.f64 a) (-.f64 (/.f64 b a) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64))))
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (neg.f64 a) (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (neg.f64 b)) (neg.f64 a)) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64))))
(* -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 (neg.f64 a) (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) c) a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/4 binary64))) (neg.f64 a)) b) (neg.f64 a)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal 1/2 binary64) (/.f64 b a)))
(+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (*.f64 #s(literal -1/2 binary64) b)) (neg.f64 a)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 #s(literal -1/2 binary64) b (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 a c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal -1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) c) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 a))) (neg.f64 a)))
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
(- (/ b (* a c)) (/ 1 b))
(-.f64 (/.f64 b (*.f64 c a)) (/.f64 #s(literal 1 binary64) b))
(- (/ b (* a c)) (/ 1 b))
(-.f64 (/.f64 b (*.f64 c a)) (/.f64 #s(literal 1 binary64) b))
(- (/ b (* a c)) (/ 1 b))
(-.f64 (/.f64 b (*.f64 c a)) (/.f64 #s(literal 1 binary64) b))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(* (sqrt (/ 1 (* a c))) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))))
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1/2 (/ b c))) a))
(/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 b c)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (neg.f64 a))
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* a b) c))) a))) a))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 a (.f64 (.f64 c c) c))) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (.f64 (*.f64 a (/.f64 b c)) #s(literal 1/2 binary64))) a))) (neg.f64 a))
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (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)))) (* 1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/2 (/ (* a b) c))) a))) a))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 a a) a) (.f64 (.f64 c c) c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b))) #s(literal 1/8 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 b b) b) a) (.f64 c c)) #s(literal -1/16 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 a a) a) (.f64 (.f64 c c) c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b))) #s(literal -1/8 binary64)))) (neg.f64 a)) (.f64 (.f64 a (/.f64 b c)) #s(literal -1/2 binary64))) a))) (neg.f64 a))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (.f64 b b) a))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (.f64 b b) a))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (.f64 b b) a))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) #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 (neg.f64 a) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))))
(* -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 (neg.f64 a) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 (.f64 c c) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b))))))
(* -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 (neg.f64 a) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 5 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 (.f64 c c) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))))))
(* -1 (/ a b))
(/.f64 (neg.f64 a) b)
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ 1 b))))
(.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (.f64 c a))))
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ 1 b))))
(.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (.f64 c a))))
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ 1 b))))
(.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (.f64 c a))))

rewrite195.0ms (1.9%)

Memory

-22.9MiB live, 314.2MiB allocated

Rules

5 856×	`lower-fma.f32`
5 854×	`lower-fma.f64`
4 280×	`lower-/.f32`
4 262×	`lower-/.f64`
3 750×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	265
0	83	251
1	355	250
2	2739	250
0	8681	249

Stop Event

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

Counts

21 → 760

Calls

Call 1

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

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

eval260.0ms (2.5%)

Memory: 28.6MiB live, 283.6MiB allocated
Compiler: Compiled 35 535 to 3 463 computations (90.3% saved)

prune244.0ms (2.4%)

Memory

6.3MiB live, 370.3MiB allocated

Pruning

29 alts after pruning (25 fresh and 4 done)

	Pruned	Kept	Total
New	1 380	10	1 390
Fresh	3	15	18
Picked	2	3	5
Done	1	1	2
Total	1 386	29	1 415

Accuracy

91.0%

Counts

1 415 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.0%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))) b)))
	7.7%	(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 (/.f64 (-.f64 (.f64 b (/.f64 b a)) (.f64 c #s(literal 1 binary64))) (*.f64 c (/.f64 b a))) a)))
▶	9.7%	(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 b (*.f64 c a))))
	2.9%	(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 #s(literal 1 binary64) b)))
	10.5%	(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (-.f64 (/.f64 b (.f64 c a)) (/.f64 a (.f64 b a)))))
	30.0%	(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) #s(approx (/ (- (/ b c) (/ a b)) a) (/.f64 #s(literal -1 binary64) b))))
▶	25.3%	(/.f64 (-.f64 (.f64 b b) #s(approx (- ( b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64)))) (.f64 (.f64 #s(literal 2 binary64) a) (+.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64)))) (neg.f64 b))))
	49.6%	(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
✓	50.5%	(/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
	34.2%	(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))) b) (*.f64 #s(literal -2 binary64) a))
	32.8%	(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (.f64 b b) #s(approx (- (* b b) (* 4 (* a c))) (.f64 #s(literal -4 binary64) (.f64 c a))))) (+.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 #s(literal -4 binary64) (.f64 c a)))) (neg.f64 b)))
▶	50.4%	(/.f64 #s(literal 1 binary64) (/.f64 a (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) #s(literal -1/2 binary64))))
	35.2%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) a))
	35.3%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))))
	14.6%	(.f64 (fma.f64 (.f64 b #s(literal 2 binary64)) a (.f64 (.f64 #s(literal -2 binary64) a) (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) #s(literal 4 binary64))))
✓	34.1%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- ( b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64))))))
	29.9%	(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64))))
	30.1%	(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (*.f64 #s(literal -2 binary64) b)))
	2.0%	(.f64 #s(approx (+ ( (* b 2) a) (* (* -2 a) (sqrt (+ (* -4 (* c a)) (* b b))))) (.f64 (.f64 #s(literal 4 binary64) a) b)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) #s(literal 4 binary64))))
	9.7%	#s(approx (/ (/ 1 a) (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/.f64 c b))
	2.9%	#s(approx (/ (/ 1 a) (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/.f64 b a))
▶	18.5%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (fma.f64 c a (.f64 (neg.f64 b) b)) (.f64 b a)))
	30.2%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (neg.f64 b) a))
✓	30.0%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
	25.6%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b))))
✓	36.2%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
	36.1%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
	19.2%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 b) c)) #s(literal -1 binary64))))
▶	10.4%	#s(approx (* (+ (* (* b 2) a) (* (* -2 a) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1 (* (* a a) 4))) #s(approx (/ 0 a) #s(literal 0 binary64)))

Compiler

Compiled 854 to 543 computations (36.4% saved)

simplify129.0ms (1.3%)

Memory

-2.1MiB live, 111.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 b b)
cost-diff	0	(-.f64 (.f64 b b) #s(approx (- ( b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64))))
cost-diff	0	(/.f64 (-.f64 (.f64 b b) #s(approx (- ( b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64)))) (.f64 (.f64 #s(literal 2 binary64) a) (+.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64)))) (neg.f64 b))))
cost-diff	128	(+.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64)))) (neg.f64 b))
cost-diff	0	(/.f64 b (*.f64 c a))
cost-diff	0	#s(approx (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 b (*.f64 c a)))
cost-diff	0	(/.f64 #s(literal 1 binary64) a)
cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 b (*.f64 c a))))
cost-diff	0	(*.f64 (neg.f64 b) b)
cost-diff	0	(fma.f64 c a (*.f64 (neg.f64 b) b))
cost-diff	0	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (fma.f64 c a (.f64 (neg.f64 b) b)) (.f64 b a)))
cost-diff	256	(/.f64 (fma.f64 c a (.f64 (neg.f64 b) b)) (.f64 b a))
cost-diff	0	#s(approx (/ 0 a) #s(literal 0 binary64))
cost-diff	0	#s(approx (* (+ (* (* b 2) a) (* (* -2 a) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1 (* (* a a) 4))) #s(approx (/ 0 a) #s(literal 0 binary64)))
cost-diff	0	(+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b)
cost-diff	0	(.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) #s(literal -1/2 binary64))
cost-diff	0	(/.f64 a (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) #s(literal -1/2 binary64)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 a (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) #s(literal -1/2 binary64))))

Rules

8 334×	`lower-fma.f32`
8 330×	`lower-fma.f64`
3 372×	`lower-*.f32`
3 352×	`lower-*.f64`
1 774×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	399
0	91	381
1	179	379
2	382	374
3	956	374
4	2345	366
5	6566	362
0	8204	361

Stop Event

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

Calls

Call 1

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

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

localize542.0ms (5.2%)

Memory

-103.4MiB live, 302.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	20.416968470974652	(/.f64 (-.f64 (.f64 b b) #s(approx (- ( b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64)))) (.f64 (.f64 #s(literal 2 binary64) a) (+.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64)))) (neg.f64 b))))
accuracy	24.341563389008893	(sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64))))
accuracy	33.79106826917955	(-.f64 (.f64 b b) #s(approx (- ( b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64))))
accuracy	38.07433519322046	#s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64)))
accuracy	0	(*.f64 c a)
accuracy	2.6297648061801318	(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 b (*.f64 c a))))
accuracy	3.892545866761379	(/.f64 b (*.f64 c a))
accuracy	44.61035491395987	#s(approx (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 b (*.f64 c a)))
accuracy	0	(neg.f64 b)
accuracy	0.00390625	(fma.f64 c a (*.f64 (neg.f64 b) b))
accuracy	21.860450814995797	(/.f64 (fma.f64 c a (.f64 (neg.f64 b) b)) (.f64 b a))
accuracy	44.829545016749165	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (fma.f64 c a (.f64 (neg.f64 b) b)) (.f64 b a)))
accuracy	0	#s(approx (/ 0 a) #s(literal 0 binary64))
accuracy	57.05655164525255	#s(approx (* (+ (* (* b 2) a) (* (* -2 a) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1 (* (* a a) 4))) #s(approx (/ 0 a) #s(literal 0 binary64)))
accuracy	0.5110158111254823	(/.f64 #s(literal 1 binary64) (/.f64 a (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) #s(literal -1/2 binary64))))
accuracy	3.8676104741980404	(/.f64 a (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) #s(literal -1/2 binary64)))
accuracy	14.197211469509472	(+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b)
accuracy	24.341563389008893	(sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))

Samples

347.0ms	61×	2	valid
47.0ms	98×	0	valid
46.0ms	78×	1	valid
23.0ms	19×	3	valid

Compiler

Compiled 335 to 58 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 413.0ms

ival-mult: 299.0ms (72.4% of total)

adjust: 40.0ms (9.7% of total)

ival-div: 39.0ms (9.4% of total)

ival-add: 12.0ms (2.9% of total)

ival-sqrt: 10.0ms (2.4% of total)

ival-sub: 9.0ms (2.2% of total)

ival-neg: 3.0ms (0.7% of total)

exact: 1.0ms (0.2% of total)

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

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

series104.0ms (1%)

Memory

-0.3MiB live, 151.6MiB allocated

Counts

23 → 696

Calls

Call 1

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

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

9 calls:

Time	Variable		Point	Expression
27.0ms	c	@	inf	((/ 1 (/ a (* (+ (sqrt (+ (* (* -4 a) c) (* b b))) b) -1/2))) (/ a (* (+ (sqrt (+ (* (* -4 a) c) (* b b))) b) -1/2)) (* (+ (sqrt (+ (* (* -4 a) c) (* b b))) b) -1/2) (+ (sqrt (+ (* (* -4 a) c) (* b b))) b) (* (+ (* (* b 2) a) (* (* -2 a) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1 (* (* a a) 4))) (/ 0 a) (/ (+ (* c a) (* (neg b) b)) (* b a)) (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (+ (* c a) (* (neg b) b)) (* (neg b) b) (/ (/ 1 a) (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/ 1 a) (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/ b (* c a)) (+ (sqrt (- (* b b) (* 4 (* a c)))) (neg b)) (/ (- (* b b) (- (* b b) (* 4 (* a c)))) (* (* 2 a) (+ (sqrt (- (* b b) (* 4 (* a c)))) (neg b)))) (- (* b b) (- (* b b) (* 4 (* a c)))) (* b b) (sqrt (+ (* (* -4 a) c) (* b b))) (neg b) (* c a) (- (* b b) (* 4 (* a c))) (sqrt (- (* b b) (* 4 (* a c)))))
9.0ms	a	@	-inf	((/ 1 (/ a (* (+ (sqrt (+ (* (* -4 a) c) (* b b))) b) -1/2))) (/ a (* (+ (sqrt (+ (* (* -4 a) c) (* b b))) b) -1/2)) (* (+ (sqrt (+ (* (* -4 a) c) (* b b))) b) -1/2) (+ (sqrt (+ (* (* -4 a) c) (* b b))) b) (* (+ (* (* b 2) a) (* (* -2 a) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1 (* (* a a) 4))) (/ 0 a) (/ (+ (* c a) (* (neg b) b)) (* b a)) (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (+ (* c a) (* (neg b) b)) (* (neg b) b) (/ (/ 1 a) (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/ 1 a) (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/ b (* c a)) (+ (sqrt (- (* b b) (* 4 (* a c)))) (neg b)) (/ (- (* b b) (- (* b b) (* 4 (* a c)))) (* (* 2 a) (+ (sqrt (- (* b b) (* 4 (* a c)))) (neg b)))) (- (* b b) (- (* b b) (* 4 (* a c)))) (* b b) (sqrt (+ (* (* -4 a) c) (* b b))) (neg b) (* c a) (- (* b b) (* 4 (* a c))) (sqrt (- (* b b) (* 4 (* a c)))))
5.0ms	b	@	inf	((/ 1 (/ a (* (+ (sqrt (+ (* (* -4 a) c) (* b b))) b) -1/2))) (/ a (* (+ (sqrt (+ (* (* -4 a) c) (* b b))) b) -1/2)) (* (+ (sqrt (+ (* (* -4 a) c) (* b b))) b) -1/2) (+ (sqrt (+ (* (* -4 a) c) (* b b))) b) (* (+ (* (* b 2) a) (* (* -2 a) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1 (* (* a a) 4))) (/ 0 a) (/ (+ (* c a) (* (neg b) b)) (* b a)) (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (+ (* c a) (* (neg b) b)) (* (neg b) b) (/ (/ 1 a) (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/ 1 a) (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/ b (* c a)) (+ (sqrt (- (* b b) (* 4 (* a c)))) (neg b)) (/ (- (* b b) (- (* b b) (* 4 (* a c)))) (* (* 2 a) (+ (sqrt (- (* b b) (* 4 (* a c)))) (neg b)))) (- (* b b) (- (* b b) (* 4 (* a c)))) (* b b) (sqrt (+ (* (* -4 a) c) (* b b))) (neg b) (* c a) (- (* b b) (* 4 (* a c))) (sqrt (- (* b b) (* 4 (* a c)))))
4.0ms	b	@	-inf	((/ 1 (/ a (* (+ (sqrt (+ (* (* -4 a) c) (* b b))) b) -1/2))) (/ a (* (+ (sqrt (+ (* (* -4 a) c) (* b b))) b) -1/2)) (* (+ (sqrt (+ (* (* -4 a) c) (* b b))) b) -1/2) (+ (sqrt (+ (* (* -4 a) c) (* b b))) b) (* (+ (* (* b 2) a) (* (* -2 a) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1 (* (* a a) 4))) (/ 0 a) (/ (+ (* c a) (* (neg b) b)) (* b a)) (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (+ (* c a) (* (neg b) b)) (* (neg b) b) (/ (/ 1 a) (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/ 1 a) (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/ b (* c a)) (+ (sqrt (- (* b b) (* 4 (* a c)))) (neg b)) (/ (- (* b b) (- (* b b) (* 4 (* a c)))) (* (* 2 a) (+ (sqrt (- (* b b) (* 4 (* a c)))) (neg b)))) (- (* b b) (- (* b b) (* 4 (* a c)))) (* b b) (sqrt (+ (* (* -4 a) c) (* b b))) (neg b) (* c a) (- (* b b) (* 4 (* a c))) (sqrt (- (* b b) (* 4 (* a c)))))
4.0ms	a	@	inf	((/ 1 (/ a (* (+ (sqrt (+ (* (* -4 a) c) (* b b))) b) -1/2))) (/ a (* (+ (sqrt (+ (* (* -4 a) c) (* b b))) b) -1/2)) (* (+ (sqrt (+ (* (* -4 a) c) (* b b))) b) -1/2) (+ (sqrt (+ (* (* -4 a) c) (* b b))) b) (* (+ (* (* b 2) a) (* (* -2 a) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1 (* (* a a) 4))) (/ 0 a) (/ (+ (* c a) (* (neg b) b)) (* b a)) (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (+ (* c a) (* (neg b) b)) (* (neg b) b) (/ (/ 1 a) (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/ 1 a) (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/ b (* c a)) (+ (sqrt (- (* b b) (* 4 (* a c)))) (neg b)) (/ (- (* b b) (- (* b b) (* 4 (* a c)))) (* (* 2 a) (+ (sqrt (- (* b b) (* 4 (* a c)))) (neg b)))) (- (* b b) (- (* b b) (* 4 (* a c)))) (* b b) (sqrt (+ (* (* -4 a) c) (* b b))) (neg b) (* c a) (- (* b b) (* 4 (* a c))) (sqrt (- (* b b) (* 4 (* a c)))))

simplify237.0ms (2.3%)

Memory

13.4MiB live, 378.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 778×	`lower-fma.f64`
7 778×	`lower-fma.f32`
6 712×	`lower-*.f64`
6 712×	`lower-*.f32`
4 486×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1497	13476
1	5048	12955
0	8330	12432

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 690

Calls

Call 1

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

Outputs
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(fma.f64 (fma.f64 (/.f64 c (.f64 (.f64 b b) b)) a (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 2 binary64) (/.f64 a (.f64 (.f64 b b) b))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a))
(* -1 (/ a b))
(/.f64 (neg.f64 a) b)
(+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3))))
(neg.f64 (fma.f64 (.f64 a a) (/.f64 c (.f64 (*.f64 b b) b)) (/.f64 a b)))
(+ (* -1 (/ a b)) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 5))) (* -1 (/ (pow a 2) (pow b 3))))))
(fma.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 (neg.f64 (.f64 a a)) (.f64 (.f64 b b) b))) c (/.f64 (neg.f64 a) b))
(+ (* -1 (/ a b)) (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* c (+ (* -2 (/ (pow a 3) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7)))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 2 binary64) c) (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -5/2 binary64)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 a a) a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 (.f64 a a)) (.f64 (.f64 b b) b))) c (/.f64 (neg.f64 a) b))
(* -1 b)
(neg.f64 b)
(+ (* -1 b) (/ (* a c) b))
(fma.f64 a (/.f64 c b) (neg.f64 b))
(+ (* -1 b) (* c (+ (/ a b) (/ (* (pow a 2) c) (pow b 3)))))
(fma.f64 (fma.f64 (.f64 a a) (/.f64 c (.f64 (*.f64 b b) b)) (/.f64 a b)) c (neg.f64 b))
(+ (* -1 b) (* c (+ (* c (+ (* 2 (/ (* (pow a 3) c) (pow b 5))) (/ (pow a 2) (pow b 3)))) (/ a b))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 2 binary64) (/.f64 (.f64 a a) (.f64 (.f64 b b) b))) c (/.f64 a b)) c (neg.f64 b))
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(fma.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64) (.f64 #s(literal 2 binary64) b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (.f64 a a) (/.f64 c (.f64 (.f64 b b) b)) (/.f64 a b))) c (*.f64 #s(literal 2 binary64) b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (.f64 (.f64 (.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (.f64 (.f64 b b) b))) c (.f64 #s(literal -2 binary64) (/.f64 a b))) c (*.f64 #s(literal 2 binary64) b))
(* 1/4 (/ (+ (* -2 (* a b)) (* 2 (* a b))) (pow a 2)))
(/.f64 #s(literal 0 binary64) (*.f64 a a))
(+ (* 1/4 (/ (+ (* -2 (* a b)) (* 2 (* a b))) (pow a 2))) (/ c b))
(+.f64 (/.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 c b))
(+ (* 1/4 (/ (+ (* -2 (* a b)) (* 2 (* a b))) (pow a 2))) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(fma.f64 (fma.f64 (/.f64 c (.f64 (.f64 b b) b)) a (/.f64 #s(literal 1 binary64) b)) c (/.f64 #s(literal 0 binary64) (*.f64 a a)))
(+ (* 1/4 (/ (+ (* -2 (* a b)) (* 2 (* a b))) (pow a 2))) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 2 binary64) (/.f64 a (.f64 (.f64 b b) b))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 #s(literal 0 binary64) (*.f64 a a)))
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(fma.f64 (fma.f64 (/.f64 c (.f64 (.f64 b b) b)) a (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 2 binary64) (/.f64 a (.f64 (.f64 b b) b))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a))
(* -1 (pow b 2))
(*.f64 (neg.f64 b) b)
(+ (* -1 (pow b 2)) (* a c))
(fma.f64 (neg.f64 b) b (*.f64 c a))
(+ (* -1 (pow b 2)) (* a c))
(fma.f64 (neg.f64 b) b (*.f64 c a))
(+ (* -1 (pow b 2)) (* a c))
(fma.f64 (neg.f64 b) b (*.f64 c a))
(/ c b)
(/.f64 c b)
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(.f64 (fma.f64 (/.f64 c (.f64 (*.f64 b b) b)) a (/.f64 #s(literal 1 binary64) b)) c)
(* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 2 binary64) (/.f64 a (.f64 (*.f64 b b) b))) c (/.f64 #s(literal 1 binary64) b)) c)
(* c (+ (* c (+ (* c (+ (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 c (/.f64 (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) (.f64 a b))) #s(literal 1/4 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 a (.f64 (.f64 b b) b))) c (/.f64 #s(literal 1 binary64) b)) c)
(/ b (* a c))
(/.f64 b (*.f64 c a))
(/ (+ (* -1 (/ c b)) (/ b a)) c)
(/.f64 (-.f64 (/.f64 b a) (/.f64 c b)) c)
(/ (+ (* c (- (* -1 (* c (+ (* -1 (/ a (pow b 3))) (* 2 (/ a (pow b 3)))))) (/ 1 b))) (/ b a)) c)
(/.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 a (.f64 (.f64 b b) b)) (/.f64 #s(literal -1 binary64) b)) c (/.f64 b a)) c)
(/ (+ (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 2 (/ a (pow b 3))))) (pow b 2))) (* 1/4 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))))))) (+ (* -1 (/ a (pow b 3))) (* 2 (/ a (pow b 3)))))) (/ 1 b))) (/ b a)) c)
(/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (fma.f64 (.f64 b (/.f64 (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) (.f64 a a))) #s(literal 1/4 binary64) (/.f64 (.f64 (/.f64 a (.f64 (.f64 b b) b)) a) (.f64 (neg.f64 b) b)))) c (/.f64 a (.f64 (.f64 b b) b)))) c (/.f64 #s(literal -1 binary64) b)) c (/.f64 b a)) c)
(/ b (* a c))
(/.f64 b (*.f64 c a))
(/ b (* a c))
(/.f64 b (*.f64 c a))
(/ b (* a c))
(/.f64 b (*.f64 c a))
(/ b (* a c))
(/.f64 b (*.f64 c a))
(* -2 (/ (* a c) b))
(.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(.f64 (.f64 #s(literal -2 binary64) (fma.f64 (.f64 a a) (/.f64 c (.f64 (*.f64 b b) b)) (/.f64 a b))) c)
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (.f64 (.f64 (.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (.f64 (.f64 b b) b))) c (*.f64 #s(literal -2 binary64) (/.f64 a b))) c)
(* 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 (fma.f64 (fma.f64 (fma.f64 (.f64 c (/.f64 (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -4 binary64) (.f64 (.f64 a a) a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (.f64 (.f64 b b) b))) c (*.f64 #s(literal -2 binary64) (/.f64 a b))) c)
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b))))
(fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) c) (.f64 (/.f64 a (.f64 (.f64 b b) b)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b))))
(fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (neg.f64 a) (/.f64 (.f64 (/.f64 a (.f64 (.f64 b b) b)) #s(literal -1/2 binary64)) (.f64 b b)) (fma.f64 #s(literal -1/8 binary64) (.f64 b (/.f64 (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) (.f64 a a))) (/.f64 (.f64 a a) (pow.f64 b #s(literal 5 binary64))))) c (.f64 (/.f64 a (.f64 (.f64 b b) b)) #s(literal -1/2 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a))
(* 4 (* a c))
(.f64 #s(literal 4 binary64) (.f64 c a))
(* 4 (* a c))
(.f64 #s(literal 4 binary64) (.f64 c a))
(* 4 (* a c))
(.f64 #s(literal 4 binary64) (.f64 c a))
(* 4 (* a c))
(.f64 #s(literal 4 binary64) (.f64 c a))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (.f64 a a) (/.f64 c (.f64 (.f64 b b) b)) (/.f64 a b))) c b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (.f64 (.f64 (.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (.f64 (.f64 b b) b))) c (.f64 #s(literal -2 binary64) (/.f64 a b))) c b)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (.f64 a a) (/.f64 c (.f64 (.f64 b b) b)) (/.f64 a b))) c b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (.f64 (.f64 (.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (.f64 (.f64 b b) b))) c (.f64 #s(literal -2 binary64) (/.f64 a b))) c b)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 #s(literal -1/2 binary64) b (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 a c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal -1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) c) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 a))) (neg.f64 a)))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(/ c b)
(/.f64 c b)
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (*.f64 #s(literal 1/2 binary64) b)) (neg.f64 a)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 a c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal -1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) c) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 a))) (neg.f64 a)))
(* a c)
(*.f64 c a)
(* -1 (* a (+ (* -1 c) (/ (pow b 2) a))))
(.f64 (-.f64 (/.f64 (.f64 b b) a) c) (neg.f64 a))
(* -1 (* a (+ (* -1 c) (/ (pow b 2) a))))
(.f64 (-.f64 (/.f64 (.f64 b b) a) c) (neg.f64 a))
(* -1 (* a (+ (* -1 c) (/ (pow b 2) a))))
(.f64 (-.f64 (/.f64 (.f64 b b) a) c) (neg.f64 a))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal 1/2 binary64) (/.f64 b a)))
(+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (*.f64 #s(literal -1/2 binary64) b)) (neg.f64 a)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 #s(literal -1/2 binary64) b (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 a c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal -1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) c) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 a))) (neg.f64 a)))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(* (sqrt (/ 1 (* a c))) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))))
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1/2 (/ b c))) a))
(/.f64 (-.f64 (.f64 (/.f64 b c) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (neg.f64 a))
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* a b) c))) a))) a))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 a (.f64 (.f64 c c) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (*.f64 a (/.f64 b c)) #s(literal 1/2 binary64))) a))) (neg.f64 a))
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (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)))) (* 1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/2 (/ (* a b) c))) a))) a))
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 b b) b) a) (.f64 c c)) #s(literal -1/16 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 a a) a) (.f64 (.f64 c c) c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b))) #s(literal 1/8 binary64))) (.f64 (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 a a) a) (.f64 (.f64 c c) c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b))) #s(literal -1/8 binary64)))) (neg.f64 a)) (.f64 (.f64 a (/.f64 b c)) #s(literal -1/2 binary64))) a))) (neg.f64 a))
(/ b (* a c))
(/.f64 b (*.f64 c a))
(/ b (* a c))
(/.f64 b (*.f64 c a))
(/ b (* a c))
(/.f64 b (*.f64 c a))
(/ b (* a c))
(/.f64 b (*.f64 c a))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) #s(literal -2 binary64))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #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 (fma.f64 (.f64 #s(literal 2 binary64) (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 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (neg.f64 b)) (neg.f64 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 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) c) a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 a c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) (neg.f64 a)) b) (neg.f64 a))) (neg.f64 a))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a))
(/.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a)) (.f64 #s(literal 1/2 binary64) b)) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(/.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a)) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 a a) a) c)) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/16 binary64)) a) #s(literal 2 binary64) (.f64 (*.f64 a b) #s(literal -1/2 binary64))) (neg.f64 a))) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(/.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) b (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 a a) a) c)) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/16 binary64))) (.f64 (.f64 (.f64 a a) (/.f64 (.f64 (.f64 b b) b) c)) #s(literal 1/32 binary64))) a) #s(literal 2 binary64) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 a a) a) c)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/16 binary64)) #s(literal -2 binary64))) (neg.f64 a))) (neg.f64 a))) (neg.f64 a))
(* 4 (* a c))
(.f64 #s(literal 4 binary64) (.f64 c a))
(* 4 (* a c))
(.f64 #s(literal 4 binary64) (.f64 c a))
(* 4 (* a c))
(.f64 #s(literal 4 binary64) (.f64 c a))
(* 4 (* a c))
(.f64 #s(literal 4 binary64) (.f64 c a))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) #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 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) (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 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 (.f64 c c) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b))))) (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 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 (.f64 c c) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 5 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))))) (neg.f64 a))
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(.f64 (-.f64 (/.f64 (.f64 (neg.f64 b) b) a) (*.f64 #s(literal -4 binary64) c)) (neg.f64 a))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(.f64 (-.f64 (/.f64 (.f64 (neg.f64 b) b) a) (*.f64 #s(literal -4 binary64) c)) (neg.f64 a))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(.f64 (-.f64 (/.f64 (.f64 (neg.f64 b) b) a) (*.f64 #s(literal -4 binary64) c)) (neg.f64 a))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) #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 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) (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 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 (.f64 c c) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b))))) (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 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 (.f64 c c) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 5 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))))) (neg.f64 a))

rewrite304.0ms (2.9%)

Memory

30.5MiB live, 399.0MiB allocated

Rules

5 386×	`lower-*.f32`
5 366×	`lower-*.f64`
5 334×	`lower-/.f32`
5 320×	`lower-/.f64`
3 832×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	327
0	91	309
1	375	306
2	2564	306
0	9844	305

Stop Event

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

Counts

23 → 900

Calls

Call 1

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

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

eval352.0ms (3.4%)

Memory: -2.8MiB live, 470.5MiB allocated
Compiler: Compiled 52 622 to 4 765 computations (90.9% saved)

prune353.0ms (3.4%)

Memory

-28.1MiB live, 465.8MiB allocated

Pruning

30 alts after pruning (24 fresh and 6 done)

	Pruned	Kept	Total
New	1 675	11	1 686
Fresh	7	13	20
Picked	3	2	5
Done	0	4	4
Total	1 685	30	1 715

Accuracy

91.0%

Counts

1 715 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.9%	(/.f64 (/.f64 (-.f64 (.f64 b b) #s(approx (- ( b b) (* 4 (* a c))) (.f64 (.f64 c a) #s(literal -4 binary64)))) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 c a) #s(literal -4 binary64)))) b)) (*.f64 #s(literal 2 binary64) a))
	29.0%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))) b)))
✓	9.7%	(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 b (*.f64 c a))))
	2.9%	(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (/.f64 #s(literal 1 binary64) b)))
	10.5%	(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (-.f64 (/.f64 b (.f64 c a)) (/.f64 a (.f64 b a)))))
	9.7%	(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) (*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 a b) #s(literal -1 binary64)))))
	30.0%	(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b)) #s(approx (/ (- (/ b c) (/ a b)) a) (/.f64 #s(literal -1 binary64) b))))
✓	50.5%	(/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
	34.2%	(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))) b) (*.f64 #s(literal -2 binary64) a))
	32.8%	(/.f64 (.f64 (-.f64 (.f64 b b) #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 c a) #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 c a) #s(literal -4 binary64)))) b))
	26.9%	(/.f64 #s(approx (- (* b b) (- (* b b) (* 4 (* a c)))) (.f64 #s(literal 4 binary64) (.f64 c a))) (.f64 (.f64 #s(literal 2 binary64) a) (+.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64)))) (neg.f64 b))))
	50.3%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -2 binary64) (+.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (*.f64 b b))) b)) a))
	9.7%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ -2 (- (sqrt (+ ( -4 (* c a)) (* b b))) b)) (/.f64 b (*.f64 c a))) a))
	35.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ a (* (+ (sqrt (+ (* (* -4 a) c) (* b b))) b) -1/2)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (.f64 b b))) (neg.f64 b))))
	35.3%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))))
	25.3%	(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) a)) (-.f64 (.f64 b b) #s(approx (- ( b b) (* 4 (* a c))) (.f64 (.f64 c a) #s(literal -4 binary64)))))
✓	34.1%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- ( b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64))))))
	29.9%	(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64))))
	30.1%	(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (*.f64 #s(literal -2 binary64) b)))
	2.0%	(.f64 #s(approx (+ ( (* b 2) a) (* (* -2 a) (sqrt (+ (* -4 (* c a)) (* b b))))) (.f64 (.f64 #s(literal 4 binary64) a) b)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 a a) #s(literal 4 binary64))))
	9.7%	#s(approx (/ (/ 1 a) (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/.f64 c b))
	2.9%	#s(approx (/ (/ 1 a) (/ -2 (- (sqrt (+ (* -4 (* c a)) (* b b))) b))) (/.f64 b a))
	30.2%	#s(approx (/ (- (* b b) (- (* b b) (* 4 (* a c)))) (* (* 2 a) (+ (sqrt (- (* b b) (* 4 (* a c)))) (neg b)))) (/.f64 (neg.f64 b) a))
	18.8%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 #s(approx (+ (* c a) (* (neg b) b)) (.f64 (neg.f64 b) b)) (.f64 b a)))
	9.6%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 #s(approx (+ (* c a) (* (neg b) b)) (.f64 c a)) (.f64 b a)))
✓	30.0%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
	25.6%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b))))
✓	36.2%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
	36.1%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
✓	10.4%	#s(approx (* (+ (* (* b 2) a) (* (* -2 a) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1 (* (* a a) 4))) #s(approx (/ 0 a) #s(literal 0 binary64)))

Compiler

Compiled 1 322 to 478 computations (63.8% saved)

regimes104.0ms (1%)

Memory

27.6MiB live, 99.1MiB allocated

Counts

59 → 3

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

48.0ms	b
20.0ms	c
17.0ms	a
16.0ms	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
50.5%	1	`a`
84.7%	3	`b`
55.9%	4	`c`
75.5%	5	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes10.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

27 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
81.9%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes30.0ms (0.3%)

Memory

-10.3MiB live, 27.8MiB allocated

Counts

23 → 2

Calls

Call 1

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

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

Calls

2 calls:

21.0ms	b
7.0ms	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
47.2%	3	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
64.0%	2	`b`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

13 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
63.9%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes35.0ms (0.3%)

Memory

-22.5MiB live, 21.9MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

27.0ms	b
2.0ms	a
2.0ms	c
2.0ms	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
36.2%	1	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
36.2%	1	`a`
36.2%	1	`c`
36.2%	1	`b`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes9.0ms (0.1%)

Memory

20.4MiB live, 20.3MiB allocated

Accuracy

Total -5.6b remaining (-9.8%)

Threshold costs -5.6b (-9.8%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
10.4%	1	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
10.4%	1	`b`
10.4%	1	`c`
10.4%	1	`a`

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch42.0ms (0.4%)

Memory

6.1MiB live, 77.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.254278973270377e+146	3.286300659425858e+149
27.0ms	-6.582367804432683e-87	-2.0177822037276334e-93

Samples

16.0ms	203×	0	valid
6.0ms	29×	1	valid
2.0ms	24×	0	invalid
2.0ms	8×	2	valid

Compiler

Compiled 443 to 305 computations (31.2% saved)

Precisions

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

ival-mult: 9.0ms (48.9% of total)

ival-sub: 3.0ms (16.3% of total)

ival-div: 2.0ms (10.9% of total)

ival-sqrt: 2.0ms (10.9% of total)

adjust: 1.0ms (5.4% of total)

ival-neg: 1.0ms (5.4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch30.0ms (0.3%)

Memory

-38.9MiB live, 47.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	7.123490485623535e-61	1.0288782579644911e-54
1.0ms	-6.582367804432683e-87	-2.0177822037276334e-93

Samples

19.0ms	144×	0	valid
2.0ms	27×	0	invalid

Compiler

Compiled 518 to 353 computations (31.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-neg: 6.0ms (43.5% of total)

ival-mult: 4.0ms (29% of total)

ival-sub: 2.0ms (14.5% of total)

ival-div: 1.0ms (7.3% of total)

ival-sqrt: 1.0ms (7.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch28.0ms (0.3%)

Memory

5.1MiB live, 42.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	-5.950420069214808e-307	1.0714429633675798e-306

Samples

14.0ms	128×	0	valid
5.0ms	63×	0	invalid

Compiler

Compiled 191 to 124 computations (35.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-neg: 5.0ms (36.4% of total)

ival-mult: 4.0ms (29.1% of total)

ival-sub: 2.0ms (14.6% of total)

ival-div: 1.0ms (7.3% of total)

ival-sqrt: 1.0ms (7.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch31.0ms (0.3%)

Memory

10.6MiB live, 48.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	-2.3353252016186715e-287	-6.659670926642224e-299

Samples

12.0ms	160×	0	valid
8.0ms	67×	0	invalid

Compiler

Compiled 203 to 140 computations (31% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 7.0ms (50% of total)

ival-sub: 2.0ms (14.3% of total)

ival-div: 2.0ms (14.3% of total)

ival-sqrt: 1.0ms (7.1% of total)

ival-neg: 1.0ms (7.1% of total)

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

exact: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	299
1	88	299
2	99	299
3	108	299
4	114	299
5	116	299

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -537538738122673/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 20000000000000000979534531503010411591444540070614877774900847491803365271867695123224630584945529275862261293630205535241068658373251704342045523968 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 a c) #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 (neg.f64 b) a))))
(if (<=.f64 b #s(literal -537538738122673/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 4693187515817583/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))) b) (.f64 #s(literal -2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -6597562568034857/94250893829069388263158195986839619953910191433570402840572110390025349132714488958921462158410402245441022265850013080700211570312172862173529993715108609721771173307935875544541938110298112193699817954782743504532616344943965179202194956899229230517898712545800381131625461678593653502029519299346025224452702208 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (* (+ (* (* b 2) a) (* (* -2 a) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1 (* (* a a) 4))) #s(approx (/ 0 a) #s(literal 0 binary64)))

Outputs
(if (<=.f64 b #s(literal -537538738122673/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 20000000000000000979534531503010411591444540070614877774900847491803365271867695123224630584945529275862261293630205535241068658373251704342045523968 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 a c) #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 (neg.f64 b) a))))
(if (<=.f64 b #s(literal -537538738122673/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 20000000000000000979534531503010411591444540070614877774900847491803365271867695123224630584945529275862261293630205535241068658373251704342045523968 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 c 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 (neg.f64 b) a))))
(if (<=.f64 b #s(literal -537538738122673/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 4693187515817583/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))) b) (.f64 #s(literal -2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -537538738122673/559936185544451052639360570142111069530411374308662383724997275240947967795040236345219373317901778944 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 4693187515817583/55213970774324510299478046898216203619608871777363092441300193790394368 binary64)) (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (.f64 #s(literal -2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -6597562568034857/94250893829069388263158195986839619953910191433570402840572110390025349132714488958921462158410402245441022265850013080700211570312172862173529993715108609721771173307935875544541938110298112193699817954782743504532616344943965179202194956899229230517898712545800381131625461678593653502029519299346025224452702208 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (* (+ (* (* b 2) a) (* (* -2 a) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ 1 (* (* a a) 4))) #s(approx (/ 0 a) #s(literal 0 binary64)))

soundness860.0ms (8.3%)

Memory

-3.6MiB live, 719.1MiB allocated

Rules

9 868×	`lower-fma.f64`
9 868×	`lower-fma.f32`
8 506×	`lower-fma.f64`
8 506×	`lower-fma.f32`
8 272×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	545	3138
1	1718	3109
2	5763	3070
0	8125	2910
0	1066	11367
1	3496	11032
0	8364	10552
0	1279	13418
1	4250	13091
0	9063	12539
0	45	254
0	72	247
1	280	243
2	2063	240
0	8987	240
0	14	51
0	23	51
1	81	51
2	591	48
0	8093	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
1×	iter limit
1×	node limit

Compiler

Compiled 380 to 190 computations (50% saved)

preprocess91.0ms (0.9%)

Memory: -34.4MiB live, 188.8MiB allocated
Compiler: Compiled 348 to 148 computations (57.5% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

start0.0ms (0%)

analyze130.0ms (1.3%)

sample1.6s (15.1%)

explain364.0ms (3.5%)

preprocess182.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify96.0ms (0.9%)

localize67.0ms (0.6%)

series42.0ms (0.4%)

simplify234.0ms (2.3%)

rewrite248.0ms (2.4%)

eval129.0ms (1.2%)

prune147.0ms (1.4%)

simplify139.0ms (1.3%)

localize357.0ms (3.4%)

series75.0ms (0.7%)

simplify388.0ms (3.7%)

rewrite610.0ms (5.9%)

eval469.0ms (4.5%)

prune482.0ms (4.7%)

simplify147.0ms (1.4%)

localize232.0ms (2.2%)

series63.0ms (0.6%)

simplify187.0ms (1.8%)

rewrite195.0ms (1.9%)

eval260.0ms (2.5%)

prune244.0ms (2.4%)

simplify129.0ms (1.3%)

localize542.0ms (5.2%)

series104.0ms (1%)

simplify237.0ms (2.3%)

rewrite304.0ms (2.9%)

eval352.0ms (3.4%)

prune353.0ms (3.4%)

regimes104.0ms (1%)

regimes10.0ms (0.1%)

regimes30.0ms (0.3%)

regimes6.0ms (0.1%)

regimes35.0ms (0.3%)

regimes9.0ms (0.1%)

bsearch42.0ms (0.4%)

bsearch30.0ms (0.3%)

bsearch28.0ms (0.3%)

bsearch31.0ms (0.3%)

simplify9.0ms (0.1%)

soundness860.0ms (8.3%)

preprocess91.0ms (0.9%)

end0.0ms (0%)

Profiling