Metrics for Quadratic roots, full range

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze114.0ms (1.8%)

Memory

48.0MiB live, 48.0MiB allocated

Algorithm

1×

Search

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

sample1.2s (19.1%)

Memory

466.3MiB live, 466.3MiB allocated

Samples

394.0ms	5 539×	0	valid
208.0ms	1 192×	2	valid
168.0ms	1 334×	1	valid
71.0ms	980×	0	invalid
43.0ms	191×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 640.0ms

ival-mult: 210.0ms (32.8% of total)

ival-sqrt: 94.0ms (14.7% of total)

ival-div: 83.0ms (13% of total)

adjust: 70.0ms (10.9% of total)

ival-sub: 61.0ms (9.5% of total)

ival-add: 59.0ms (9.2% of total)

ival-neg: 43.0ms (6.7% of total)

exact: 9.0ms (1.4% of total)

ival-true: 7.0ms (1.1% of total)

ival-assert: 4.0ms (0.6% of total)

Bogosity

explain233.0ms (3.6%)

Memory

105.7MiB live, 105.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
112	0	-	0	-	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`
52	28	(-3.784055040137831e-199 6.949132425734737e+212 1.1662044340931283e-185)	0	-	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`
14	0	-	14	(-4.813194414716799e-112 5.807927690053909e+133 3.960510050975654e-128)	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
4	0	-	4	(-2.7983128571321473e+186 -9.316873118737732e+290 -1.4259127606314712e+215)	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`
0	0	-	0	-	`a`
0	0	-	0	-	`#s(literal 4 binary64)`
0	0	-	0	-	`(.f64 (.f64 #s(literal 4 binary64) a) c)`
0	0	-	0	-	`(*.f64 b b)`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) a)`
0	0	-	0	-	`c`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(neg.f64 b)`
0	0	-	0	-	`(*.f64 #s(literal 4 binary64) a)`
0	0	-	0	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`	oflow-rescue	107	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	overflow	107
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	overflow	30
↳	`(*.f64 b b)`	overflow	88
`+.f64`	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`	cancellation	80	1
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`	uflow-rescue	5	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	underflow	5
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	underflow	35
↳	`(*.f64 b b)`	underflow	41

Confusion

	Predicted +	Predicted -
+	130	0
-	20	106

Precision

0.8666666666666667

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	130	0	0
-	20	1	105

Precision?

0.8609271523178808

Recall?

1.0

Freqs

test

number	freq
0	106
1	108
2	42

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

35.0ms	356×	0	valid
18.0ms	74×	2	valid
12.0ms	72×	1	valid
3.0ms	10×	3	valid

Compiler

Compiled 371 to 136 computations (63.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 13.0ms (31.4% of total)

ival-sqrt: 6.0ms (14.5% of total)

ival-div: 5.0ms (12.1% of total)

ival-sub: 4.0ms (9.7% of total)

adjust: 4.0ms (9.7% of total)

ival-add: 4.0ms (9.7% of total)

ival-neg: 3.0ms (7.2% of total)

ival-true: 1.0ms (2.4% of total)

exact: 1.0ms (2.4% of total)

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

preprocess119.0ms (1.8%)

Memory

10.3MiB live, 10.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 17 to 14 computations (17.6% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.7%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify69.0ms (1.1%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize48.0ms (0.7%)

Memory

17.2MiB live, 17.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.8085937500000001	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
accuracy	2.992927419484257	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
accuracy	12.041835145667298	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy	26.261857725404685	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))

Samples

18.0ms	178×	0	valid
9.0ms	37×	2	valid
6.0ms	36×	1	valid
2.0ms	5×	3	valid

Compiler

Compiled 142 to 30 computations (78.9% saved)

Precisions

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

ival-mult: 7.0ms (32.3% of total)

ival-sqrt: 3.0ms (13.8% of total)

ival-div: 3.0ms (13.8% of total)

ival-sub: 2.0ms (9.2% of total)

adjust: 2.0ms (9.2% of total)

ival-add: 2.0ms (9.2% of total)

ival-neg: 1.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.4%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

5 → 156

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	c	@	inf	((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
3.0ms	b	@	inf	((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
3.0ms	c	@	-inf	((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
2.0ms	a	@	-inf	((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
2.0ms	b	@	0	((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))

simplify153.0ms (2.4%)

Memory

46.3MiB live, 46.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	545	3273
1	1738	3232
2	6070	3204
0	8235	3047

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 153

Calls

Call 1

Inputs
(* -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))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ 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)))
(* -4 (* a c))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -4 (* a c))
(* -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 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 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)))
(* -4 (* a c))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 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)))))))))
(* -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)
(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) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 b)
(* -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)))))))
(* -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))))))))
(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 a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 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))))))))
(* -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))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ 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)))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 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))))))
(* -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))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -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
(* -2 (/ (* a c) b))
(.f64 (.f64 (/.f64 c b) #s(literal -2 binary64)) a)
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(.f64 (.f64 c #s(literal -2 binary64)) (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (*.f64 a a) (/.f64 a b)))
(* 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 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 (.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 3 binary64)))) 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 #s(literal -1/2 binary64) c) (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (.f64 (.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 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))
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(neg.f64 (*.f64 c (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) a (/.f64 #s(literal 1 binary64) b))))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(.f64 (fma.f64 (fma.f64 (.f64 (*.f64 a #s(literal -2 binary64)) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (.f64 (/.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (.f64 c #s(literal -2 binary64)) (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (.f64 a a) (/.f64 a b)) b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 (.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 3 binary64)))) c (.f64 (/.f64 a b) #s(literal -2 binary64))) c b)
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 c a)))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (neg.f64 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 (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (neg.f64 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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (.f64 (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (neg.f64 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 b (/.f64 b c))) c)
(* c (- (/ (pow b 2) c) (* 4 a)))
(.f64 (fma.f64 #s(literal -4 binary64) a (.f64 b (/.f64 b c))) c)
(* c (- (/ (pow b 2) c) (* 4 a)))
(.f64 (fma.f64 #s(literal -4 binary64) a (.f64 b (/.f64 b c))) c)
(* 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 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (.f64 (/.f64 (/.f64 b c) a) #s(literal -1/2 binary64))) c)
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/4 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (.f64 (/.f64 (/.f64 b c) a) #s(literal -1/2 binary64)))) c)
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(.f64 (fma.f64 #s(literal 1/64 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/4 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (*.f64 (/.f64 (/.f64 b c) a) #s(literal -1/2 binary64))))) c)
(* (sqrt (* a c)) (sqrt -4))
(.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 (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (.f64 (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) (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 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (.f64 (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))) 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 (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(.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 (neg.f64 c) (fma.f64 (.f64 (sqrt.f64 (/.f64 a c)) #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64)) (neg.f64 b)) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/64 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 c a)) (.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) c) b) 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 b (/.f64 b c))) c)
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(.f64 (fma.f64 #s(literal -4 binary64) a (.f64 b (/.f64 b c))) c)
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(.f64 (fma.f64 #s(literal -4 binary64) a (.f64 b (/.f64 b c))) c)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 1/2 binary64) c) (/.f64 b a) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 (neg.f64 c) (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 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/128 binary64)))) (neg.f64 c))) (neg.f64 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 (pow.f64 c #s(literal 3 binary64)) a))) (.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)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (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 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))))
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rewrite131.0ms (2%)

Memory

43.6MiB live, 43.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 440

Calls

Call 1

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

Outputs
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval83.0ms (1.3%)

Memory: 53.5MiB live, 53.5MiB allocated
Compiler: Compiled 18 694 to 2 137 computations (88.6% saved)

prune33.0ms (0.5%)

Memory

32.2MiB live, 32.2MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	579	14	593
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	580	14	594

Accuracy

91.3%

Counts

594 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.6%	(/.f64 (fma.f64 b b (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)))
	43.2%	(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
▶	50.7%	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
	27.7%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
	32.2%	(/.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))
	10.6%	(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 2 binary64) a))
	29.2%	(/.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
	51.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)))
	51.6%	(-.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal 2 binary64) a)))
▶	51.6%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
▶	36.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)))
	33.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
▶	36.9%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
▶	30.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)))

Compiler

Compiled 452 to 326 computations (27.9% saved)

simplify116.0ms (1.8%)

Memory

21.5MiB live, 21.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
cost-diff	128	(+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))))
cost-diff	0	(fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)
cost-diff	0	(/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)
cost-diff	0	(neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)))
cost-diff	0	(/.f64 c b)
cost-diff	0	(/.f64 (/.f64 c b) b)
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)))
cost-diff	1024	(fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 (neg.f64 b) a)
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))
cost-diff	0	(-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) a)
cost-diff	0	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	319
0	69	319
1	119	311
2	226	307
3	444	303
4	849	303
5	2284	303
6	4578	303
7	6335	303
8	7931	303
0	8087	303

Stop Event

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

Calls

Call 1

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

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

localize141.0ms (2.2%)

Memory

51.0MiB live, 51.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.0983001598636197	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))
accuracy	2.992927419484257	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
accuracy	12.041835145667298	(+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))))
accuracy	24.879883616355134	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))
accuracy	0.0546875	(fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c)
accuracy	0.7563103849435531	(/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)
accuracy	4.328882435848853	(/.f64 (*.f64 c a) b)
accuracy	42.79254740193719	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)))
accuracy	0	(neg.f64 b)
accuracy	0.12890625	(/.f64 (/.f64 c b) b)
accuracy	3.5891578088791922	(fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))
accuracy	40.431269257946745	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)))
accuracy	0	(/.f64 (neg.f64 b) a)
accuracy	0	(neg.f64 b)
accuracy	40.38734496260663	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
accuracy	0.0078125	(fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))
accuracy	3.0927592480957866	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
accuracy	12.041835145667298	(-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)
accuracy	26.261857725404685	(sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))

Samples

53.0ms	178×	0	valid
27.0ms	37×	2	valid
18.0ms	36×	1	valid
5.0ms	5×	3	valid

Compiler

Compiled 572 to 75 computations (86.9% saved)

Precisions

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

ival-div: 22.0ms (30.9% of total)

ival-mult: 17.0ms (23.9% of total)

ival-add: 9.0ms (12.6% of total)

ival-sqrt: 9.0ms (12.6% of total)

adjust: 6.0ms (8.4% of total)

ival-sub: 4.0ms (5.6% of total)

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

exact: 1.0ms (1.4% of total)

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

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

series76.0ms (1.2%)

Memory

28.3MiB live, 28.3MiB allocated

Counts

22 → 708

Calls

Call 1

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

Outputs
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) 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 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) 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 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)) (patch (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)) (patch (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)) (patch (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)) (patch (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (/.f64 c b) b) b (/.f64 (neg.f64 b) a))) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 2)) (taylor 0 c) (#s(alt (/.f64 (/.f64 c b) b) (patch (/.f64 (/.f64 c b) b) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 2)) (taylor 0 c) (#s(alt (/.f64 (/.f64 c b) b) (patch (/.f64 (/.f64 c b) b) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 2)) (taylor 0 c) (#s(alt (/.f64 (/.f64 c b) b) (patch (/.f64 (/.f64 c b) b) #<representation binary64>) () ())) ())
#s(alt (/ c (pow b 2)) (taylor 0 c) (#s(alt (/.f64 (/.f64 c b) b) (patch (/.f64 (/.f64 c b) 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 (/ c b) (taylor 0 c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b)) (patch (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b)) (patch (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b)) (patch (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b)) (patch (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b)) #<representation binary64>) () ())) ())
#s(alt (/ c b) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b) (patch (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b) (patch (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b) (patch (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b) (patch (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b) #<representation binary64>) () ())) ())
#s(alt c (taylor 0 c) (#s(alt (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) (patch (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (/ (* a c) (pow b 2)))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) (patch (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (/ (* a c) (pow b 2)))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) (patch (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (/ (* a c) (pow b 2)))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) (patch (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))) (patch (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))) (patch (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))) (patch (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))) (patch (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
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#s(alt (/ (* a c) b) (taylor inf c) (#s(alt (/.f64 (.f64 c a) b) (patch (/.f64 (.f64 c a) b) #<representation binary64>) () ())) ())
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#s(alt (/ (* a c) b) (taylor inf c) (#s(alt (/.f64 (.f64 c a) b) (patch (/.f64 (.f64 c a) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor inf c) (#s(alt (/.f64 (.f64 c a) b) (patch (/.f64 (.f64 c a) b) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* a (pow c 2)) (pow b 3))) (taylor -inf a) (#s(alt (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b)) (patch (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3)))))) (taylor -inf a) (#s(alt (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b)) (patch (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3)))))) (taylor -inf a) (#s(alt (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b)) (patch (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3)))))) (taylor -inf a) (#s(alt (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b)) (patch (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b)) #<representation binary64>) () ())) ())
#s(alt (/ (* a (pow c 2)) (pow b 3)) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b) (patch (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b) (patch (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b) (patch (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b) (patch (/.f64 (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a (pow c 2)) (pow b 2)) (taylor -inf a) (#s(alt (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) (patch (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) (patch (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) (patch (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) (patch (fma.f64 (/.f64 c b) (/.f64 (.f64 c a) b) c) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))) (patch (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))) (patch (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 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 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))) (patch (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 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 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))) (patch (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor -inf a) (#s(alt (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (patch (fma.f64 (.f64 #s(literal -4 binary64) 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 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (patch (fma.f64 (.f64 #s(literal -4 binary64) 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 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (patch (fma.f64 (.f64 #s(literal -4 binary64) 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 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (patch (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (/.f64 (.f64 c a) b) (patch (/.f64 (.f64 c a) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (/.f64 (.f64 c a) b) (patch (/.f64 (.f64 c a) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (/.f64 (.f64 c a) b) (patch (/.f64 (.f64 c a) b) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (/.f64 (.f64 c a) b) (patch (/.f64 (.f64 c a) b) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (taylor -inf a) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))) (taylor -inf a) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) (taylor -inf a) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) (taylor -inf a) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (/ -1/4 (* a c)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* a (pow c 3)))) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* a (pow c 4)))) (* -1/64 (/ (pow b 4) (pow c 3)))) a)) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	a	@	inf	((* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (/ c b) b) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (/ (+ (* (/ c b) (/ (* c a) b)) c) b)) (/ (+ (* (/ c b) (/ (* c a) b)) c) b) (+ (* (/ c b) (/ (* c a) b)) c) (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (* 2 a)) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b))))) (+ (* (* -4 c) a) (* b b)) (/ (* c a) b) (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))) (/ 1 (+ (* (* -4 c) a) (* b b))))
7.0ms	c	@	0	((* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (/ c b) b) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (/ (+ (* (/ c b) (/ (* c a) b)) c) b)) (/ (+ (* (/ c b) (/ (* c a) b)) c) b) (+ (* (/ c b) (/ (* c a) b)) c) (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (* 2 a)) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b))))) (+ (* (* -4 c) a) (* b b)) (/ (* c a) b) (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))) (/ 1 (+ (* (* -4 c) a) (* b b))))
6.0ms	a	@	-inf	((* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (/ c b) b) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (/ (+ (* (/ c b) (/ (* c a) b)) c) b)) (/ (+ (* (/ c b) (/ (* c a) b)) c) b) (+ (* (/ c b) (/ (* c a) b)) c) (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (* 2 a)) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b))))) (+ (* (* -4 c) a) (* b b)) (/ (* c a) b) (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))) (/ 1 (+ (* (* -4 c) a) (* b b))))
5.0ms	c	@	inf	((* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (/ c b) b) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (/ (+ (* (/ c b) (/ (* c a) b)) c) b)) (/ (+ (* (/ c b) (/ (* c a) b)) c) b) (+ (* (/ c b) (/ (* c a) b)) c) (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (* 2 a)) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b))))) (+ (* (* -4 c) a) (* b b)) (/ (* c a) b) (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))) (/ 1 (+ (* (* -4 c) a) (* b b))))
5.0ms	c	@	-inf	((* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (/ c b) b) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (/ (+ (* (/ c b) (/ (* c a) b)) c) b)) (/ (+ (* (/ c b) (/ (* c a) b)) c) b) (+ (* (/ c b) (/ (* c a) b)) c) (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (* 2 a)) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b))))) (+ (* (* -4 c) a) (* b b)) (/ (* c a) b) (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))) (/ 1 (+ (* (* -4 c) a) (* b b))))

simplify202.0ms (3.1%)

Memory

72.2MiB live, 72.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	958	13320
1	3085	13103
0	9011	12564

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 698

Calls

Call 1

Inputs
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -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))))))))
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 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -1 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(/ c b)
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
c
(* c (+ 1 (/ (* a c) (pow b 2))))
(* c (+ 1 (/ (* a c) (pow b 2))))
(* c (+ 1 (/ (* a c) (pow b 2))))
(* -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 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
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))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ 1 b)
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))
(+ (* c (+ (* -1/2 (* b (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))) (* 2 (/ a (pow b 3))))) (/ 1 b))
(+ (* c (+ (* 2 (/ a (pow b 3))) (* c (+ (* -1/2 (* b (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))) (/ 1 b))
(/ 1 (pow b 2))
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))
(+ (* c (- (* 16 (/ (* (pow a 2) c) (pow b 6))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))
(+ (* c (- (* c (- (* 64 (/ (* (pow a 3) c) (pow b 8))) (* -16 (/ (pow a 2) (pow b 6))))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* (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 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(/ 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 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(/ (* a (pow c 2)) (pow b 3))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(/ (* a (pow c 2)) (pow b 2))
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))
(* (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 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* (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)))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))
(+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))
(/ -1/4 (* a c))
(/ (- (* -1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c)
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a)))) c)
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 4) (pow c 3)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))))) c)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -2 (* (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 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ c b)
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(/ (* a (pow c 2)) (pow b 3))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(/ (* a (pow c 2)) (pow b 2))
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2))))
(* -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 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -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))))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ c (pow a 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4))))))) (pow c 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ -1/4 (* a c))
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) c))) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* (pow a 4) c))) (* -1/64 (/ (pow b 4) (pow a 3)))) c)) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* (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 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(/ c b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 3))
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 3))
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 3))
(/ (* a (pow c 2)) (pow b 3))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3))
(/ (* a (pow c 2)) (pow b 2))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2))
(* (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 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* (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))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (sqrt -1/4)))) (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))))))
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/32 (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/4) 2))))) (* 1/256 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/4)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/4)))))))))
(/ -1/4 (* a c))
(- (* -1/16 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (* 1/4 (/ 1 (* a c))))
(- (* (pow b 2) (- (* -1/64 (/ (pow b 2) (* (pow a 3) (pow c 3)))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))
(- (* (pow b 2) (- (* (pow b 2) (- (* -1/256 (/ (pow b 2) (* (pow a 4) (pow c 4)))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -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)
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) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ c b))
(/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b)
(/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b)
(/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b)
(/ c b)
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)
c
(+ c (/ (* a (pow c 2)) (pow b 2)))
(+ c (/ (* a (pow c 2)) (pow b 2)))
(+ c (/ (* a (pow c 2)) (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 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
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)))))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ 1 b)
(/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b)
(/ 1 (pow b 2))
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -2 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 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 (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 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))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(* -1 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b))
(* -1 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b))
(* -1 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b))
(/ c b)
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))
c
(+ c (/ (* a (pow c 2)) (pow b 2)))
(+ c (/ (* a (pow c 2)) (pow b 2)))
(+ c (/ (* a (pow c 2)) (pow b 2)))
(* -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 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 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)))))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ -1 b)
(* -1 (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b))
(/ 1 (pow b 2))
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* -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))))))))
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 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -1 (/ c b))
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b))
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b))
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b))
(/ c b)
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
c
(+ c (/ (* a (pow c 2)) (pow b 2)))
(+ c (/ (* a (pow c 2)) (pow b 2)))
(+ c (/ (* a (pow c 2)) (pow b 2)))
(* -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 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
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))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ 1 b)
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))
(+ (* a (+ (* -1/2 (* a (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (* 2 (/ c (pow b 3))))) (/ 1 b))
(+ (* a (+ (* 2 (/ c (pow b 3))) (* a (+ (* -1/2 (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))) (/ 1 b))
(/ 1 (pow b 2))
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))
(+ (* a (- (* 16 (/ (* a (pow c 2)) (pow b 6))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))
(+ (* a (- (* a (- (* 64 (/ (* a (pow c 3)) (pow b 8))) (* -16 (/ (pow c 2) (pow b 6))))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* (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))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* a (- (* -1 (/ c (* a b))) (/ (pow c 2) (pow b 3))))
(* a (- (* -1 (/ c (* a b))) (/ (pow c 2) (pow b 3))))
(* a (- (* -1 (/ c (* a b))) (/ (pow c 2) (pow b 3))))
(/ (* a (pow c 2)) (pow b 3))
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))
(/ (* a (pow c 2)) (pow b 2))
(* a (+ (/ c a) (/ (pow c 2) (pow b 2))))
(* a (+ (/ c a) (/ (pow c 2) (pow b 2))))
(* a (+ (/ c a) (/ (pow c 2) (pow b 2))))
(* (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 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (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)))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))
(+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))
(/ -1/4 (* a c))
(/ (- (* -1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a)
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c)))) a)
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 3) (pow c 4)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))))) a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (* (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 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3))))))
(* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3))))))
(* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3))))))
(/ (* a (pow c 2)) (pow b 3))
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))))
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))))
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))))
(/ (* a (pow c 2)) (pow b 2))
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2))))))
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2))))))
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2))))))
(* -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 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -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))))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ -1/4 (* a c))
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* a (pow c 3)))) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* a (pow c 4)))) (* -1/64 (/ (pow b 4) (pow c 3)))) a)) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))

Outputs
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(.f64 (fma.f64 (fma.f64 (.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 #s(literal 20 binary64) c)) (.f64 a b)) #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) 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) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.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 (.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 (.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) 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 (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 #s(literal 20 binary64) c)) b) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (.f64 (.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) 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 (pow.f64 b #s(literal 3 binary64))) (/.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 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 (.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (.f64 (/.f64 a b) #s(literal -2 binary64))) c b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(.f64 (fma.f64 (fma.f64 (.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 #s(literal 20 binary64) c)) (.f64 a b)) #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) 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 b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(.f64 (fma.f64 (fma.f64 (.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 #s(literal 20 binary64) c)) (.f64 a b)) #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(.f64 (fma.f64 (fma.f64 (.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 #s(literal 20 binary64) c)) (.f64 a b)) #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c)
(/ c b)
(/.f64 c b)
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(*.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c)
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(*.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c)
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(*.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c)
c
(* c (+ 1 (/ (* a c) (pow b 2))))
(*.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) c)
(* c (+ 1 (/ (* a c) (pow b 2))))
(*.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) c)
(* c (+ 1 (/ (* a c) (pow b 2))))
(*.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) 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) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.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 (.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 (.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) 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 (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 #s(literal 20 binary64) c)) b) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (.f64 (.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(.f64 (fma.f64 (fma.f64 (.f64 (*.f64 #s(literal -2 binary64) a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (.f64 #s(literal 20 binary64) c)) (.f64 a b)) #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c)
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) 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 (pow.f64 b #s(literal 3 binary64))) (/.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 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 (.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 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 a c) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 a c) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 a c) (.f64 b b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))
(fma.f64 a (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) b))
(+ (* c (+ (* -1/2 (* b (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))) (* 2 (/ a (pow b 3))))) (/ 1 b))
(fma.f64 (fma.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 (/.f64 (.f64 a a) (pow.f64 b #s(literal 6 binary64))) (.f64 #s(literal -12 binary64) b)) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) c (/.f64 #s(literal 1 binary64) b))
(+ (* c (+ (* 2 (/ a (pow b 3))) (* c (+ (* -1/2 (* b (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))) (/ 1 b))
(fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) b) (fma.f64 (/.f64 (.f64 a a) (pow.f64 b #s(literal 6 binary64))) #s(literal -12 binary64) (.f64 (fma.f64 (/.f64 (.f64 (/.f64 (.f64 a a) (pow.f64 b #s(literal 6 binary64))) (.f64 #s(literal -12 binary64) a)) (.f64 b b)) #s(literal -2 binary64) (/.f64 (.f64 #s(literal -64 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 8 binary64)))) c))) c (.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) c (/.f64 #s(literal 1 binary64) b))
(/ 1 (pow b 2))
(/.f64 #s(literal 1 binary64) (*.f64 b b))
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))
(fma.f64 (.f64 #s(literal 4 binary64) a) (/.f64 c (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 b b)))
(+ (* c (- (* 16 (/ (* (pow a 2) c) (pow b 6))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))
(fma.f64 (fma.f64 (.f64 #s(literal 16 binary64) (.f64 a a)) (/.f64 c (pow.f64 b #s(literal 6 binary64))) (.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64))) c (/.f64 #s(literal 1 binary64) (.f64 b b)))
(+ (* c (- (* c (- (* 64 (/ (* (pow a 3) c) (pow b 8))) (* -16 (/ (pow a 2) (pow b 6))))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 64 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 8 binary64))) (.f64 (/.f64 (.f64 a a) (pow.f64 b #s(literal 6 binary64))) #s(literal 16 binary64))) c (.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64))) c (/.f64 #s(literal 1 binary64) (*.f64 b 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 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64))) c)
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(.f64 (fma.f64 (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/4 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64)))) c)
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/4 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64))))) c)
(* (sqrt (* a c)) (sqrt -4))
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(* -4 (* a c))
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(.f64 (neg.f64 a) (+.f64 (/.f64 (/.f64 c a) b) (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64)))))
(* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3))))))
(.f64 (neg.f64 a) (+.f64 (/.f64 (/.f64 c a) b) (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64)))))
(/ (* a (pow c 2)) (pow b 3))
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(/ (* a (pow c 2)) (pow b 2))
(.f64 (/.f64 (.f64 c c) b) (/.f64 a b))
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2))))))
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 (/.f64 c b) (/.f64 c b) (/.f64 c a))))
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2))))))
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 (/.f64 c b) (/.f64 c b) (/.f64 c a))))
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(*.f64 (neg.f64 a) (neg.f64 (fma.f64 (/.f64 c b) (/.f64 c b) (/.f64 c a))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 a c)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(.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 (neg.f64 a) (fma.f64 (.f64 #s(literal 2 binary64) (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 a c)))) (.f64 b b)) #s(literal -1/4 binary64) (neg.f64 b)) (neg.f64 a))))
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(.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 (sqrt.f64 (/.f64 a c)) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/64 binary64)))) (neg.f64 a)) b) (neg.f64 a))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(-.f64 (.f64 (/.f64 b a) #s(literal -1/2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(neg.f64 (fma.f64 (sqrt.f64 #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 a c)))) (.f64 b b)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(neg.f64 (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 a c)) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/128 binary64)))) (neg.f64 a))) a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 a c)))
(* -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 (pow.f64 a #s(literal 3 binary64)) 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)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (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 (pow.f64 a #s(literal 3 binary64)) 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 -1/64 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (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 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (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 (pow.f64 a #s(literal 3 binary64)) c))) (.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (.f64 (neg.f64 b) b) a)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (.f64 (neg.f64 b) b) a)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (.f64 (neg.f64 b) b) a)))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/16 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(fma.f64 (.f64 #s(literal -1/16 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal -1/64 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))))))
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(fma.f64 (.f64 #s(literal -1/16 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) b)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/64 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal -1/256 binary64) a) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 c #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 c #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))) (neg.f64 (pow.f64 a #s(literal 3 binary64))))))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 a c))
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a))
(/.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (.f64 c c)) (/.f64 (.f64 b b) a) (/.f64 #s(literal 1/4 binary64) c)) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* a (pow c 3)))) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) c) (/.f64 (fma.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 c #s(literal 3 binary64))) (/.f64 (pow.f64 b #s(literal 4 binary64)) a) (.f64 (.f64 (/.f64 b c) (/.f64 b c)) #s(literal -1/16 binary64))) a)) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* a (pow c 4)))) (* -1/64 (/ (pow b 4) (pow c 3)))) a)) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) c) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 c #s(literal 4 binary64))) (/.f64 (pow.f64 b #s(literal 6 binary64)) a) (.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal 1/64 binary64))) a) #s(literal -1 binary64) (.f64 (*.f64 (/.f64 b c) (/.f64 b c)) #s(literal -1/16 binary64))) a)) (neg.f64 a))

rewrite154.0ms (2.4%)

Memory

64.2MiB live, 64.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	263
0	69	249
1	265	242
2	2271	234
0	8228	234

Stop Event

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

Counts

22 → 1 035

Calls

Call 1

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

Outputs
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eval263.0ms (4.1%)

Memory: 171.4MiB live, 171.4MiB allocated
Compiler: Compiled 48 519 to 5 522 computations (88.6% saved)

prune103.0ms (1.6%)

Memory

97.1MiB live, 97.1MiB allocated

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	1 975	19	1 994
Fresh	3	6	9
Picked	3	2	5
Done	0	0	0
Total	1 981	27	2 008

Accuracy

92.6%

Counts

2 008 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.2%	(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b)))
	25.6%	(/.f64 (fma.f64 b b (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)))
▶	43.2%	(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
	21.3%	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* -4 c) a) (* b b))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) (.f64 c c)) (/.f64 (.f64 b b) a) (/.f64 #s(literal -1/4 binary64) c)) a))))) (*.f64 #s(literal 2 binary64) a))
	30.3%	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* -4 c) a) (* b b))) (/.f64 #s(literal -1/4 binary64) (.f64 a c)))))) (.f64 #s(literal 2 binary64) a))
▶	32.2%	(/.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))
	29.2%	(/.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
▶	51.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)))
	51.6%	(-.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal 2 binary64) a)))
✓	51.6%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
	32.2%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ ( (* -4 c) a) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) b))
	36.8%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ ( (* -4 c) a) (* b b))) (neg.f64 b)) b))
	28.6%	(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ ( (* -4 c) a) (* b b))) b) (.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64))))
	33.2%	#s(approx (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (* 2 a)) (/.f64 (neg.f64 c) b))
	17.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64))) b) b (/.f64 (neg.f64 b) a)))
	2.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) b (/.f64 b a)))
	30.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (.f64 c a) (/.f64 c (.f64 b b)) c) (neg.f64 b)))
	1.9%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 a b) (.f64 (/.f64 b (.f64 c #s(literal 1 binary64))) #s(literal 1 binary64))) (.f64 (/.f64 b (.f64 c #s(literal 1 binary64))) (/.f64 a b))))
	25.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) a) (.f64 a b)) (*.f64 a a)))
✓	36.9%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
	36.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))
	36.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
	33.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (*.f64 (/.f64 a b) c) c) b)))
	17.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 a) b)) #s(literal -1 binary64))))
	36.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)))
▶	24.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)))
▶	9.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))

Compiler

Compiled 758 to 576 computations (24% saved)

simplify110.0ms (1.7%)

Memory

28.1MiB live, 28.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	399
0	70	399
1	114	383
2	208	375
3	423	361
4	806	361
5	2024	361
6	6388	361
0	8156	361

Stop Event

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

Calls

Call 1

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

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

localize132.0ms (2%)

Memory

48.8MiB live, 48.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	2.992927419484257	(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
accuracy	12.041835145667298	(+.f64 (neg.f64 b) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))
accuracy	26.261857725404685	(sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))
accuracy	26.382951475404685	(/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))
accuracy	2.992927419484257	(/.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	12.041835145667298	(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 #s(literal -4 binary64) (.f64 c a)))))
accuracy	26.261857725404685	(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 #s(literal -4 binary64) (.f64 c a))))
accuracy	39.91648357464482	#s(approx (- (* b b) (* (* 4 a) c)) (.f64 #s(literal -4 binary64) (.f64 c a)))
accuracy	0	#s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b))
accuracy	8.252174687634032	(/.f64 (*.f64 b b) a)
accuracy	10.266164706420845	(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)
accuracy	40.431269257946745	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)))
accuracy	0	(/.f64 c b)
accuracy	40.431269257946745	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))
accuracy	41.89903390291097	#s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b))
accuracy	0.33716788498651884	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)))
accuracy	2.9391236709916626	(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b))
accuracy	12.041835145667298	(-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)
accuracy	26.261857725404685	(sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))

Samples

48.0ms	178×	0	valid
22.0ms	33×	2	valid
18.0ms	36×	1	valid
8.0ms	9×	3	valid

Compiler

Compiled 617 to 70 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-div: 22.0ms (33.8% of total)

ival-mult: 15.0ms (23.1% of total)

ival-add: 8.0ms (12.3% of total)

ival-sub: 6.0ms (9.2% of total)

adjust: 6.0ms (9.2% of total)

ival-sqrt: 6.0ms (9.2% of total)

exact: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

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

series54.0ms (0.8%)

Memory

22.1MiB live, 22.1MiB allocated

Counts

20 → 672

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b))) #<representation binary64>) () ())
#s(alt (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)) (patch (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)) #<representation binary64>) () ())
#s(alt (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b) #<representation binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)) (patch #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)) #<representation binary64>) () ())
#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 c (/.f64 (.f64 b b) a)) b) (patch (/.f64 (-.f64 c (/.f64 (.f64 b b) a)) b) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (.f64 b b) a)) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (.f64 b b) a)) b)) (patch #s(approx (+ ( (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)) #<representation binary64>) () ())
#s(alt (-.f64 c (/.f64 (.f64 b b) a)) (patch (-.f64 c (/.f64 (.f64 b b) 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 (/.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 (neg.f64 b) (patch (neg.f64 b) #<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 (neg.f64 b) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))) (patch (+.f64 (neg.f64 b) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (patch (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 b b) a) (patch (/.f64 (.f64 b b) a) #<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 (/ c b)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b))) #<representation binary64>) () ())) ())
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#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) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))) (patch (+.f64 (neg.f64 b) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (patch (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (patch (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (patch (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (patch (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) a) (taylor -inf a) (#s(alt (/.f64 (.f64 b b) a) (patch (/.f64 (.f64 b b) a) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) a) (taylor -inf a) (#s(alt (/.f64 (.f64 b b) a) (patch (/.f64 (.f64 b b) a) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) a) (taylor -inf a) (#s(alt (/.f64 (.f64 b b) a) (patch (/.f64 (.f64 b b) a) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) a) (taylor -inf a) (#s(alt (/.f64 (.f64 b b) a) (patch (/.f64 (.f64 b b) a) #<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
3.0ms	c	@	inf	((/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ c b) (/ (- c (/ (* b b) a)) b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (- c (/ (* b b) a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b)))) (/ (* b b) a) (- (* b b) (* (* 4 a) c)))
3.0ms	c	@	-inf	((/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ c b) (/ (- c (/ (* b b) a)) b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (- c (/ (* b b) a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b)))) (/ (* b b) a) (- (* b b) (* (* 4 a) c)))
3.0ms	b	@	inf	((/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ c b) (/ (- c (/ (* b b) a)) b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (- c (/ (* b b) a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b)))) (/ (* b b) a) (- (* b b) (* (* 4 a) c)))
3.0ms	a	@	-inf	((/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ c b) (/ (- c (/ (* b b) a)) b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (- c (/ (* b b) a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b)))) (/ (* b b) a) (- (* b b) (* (* 4 a) c)))
3.0ms	b	@	-inf	((/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/ c b) (/ (- c (/ (* b b) a)) b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (- c (/ (* b b) a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b)))) (/ (* b b) a) (- (* b b) (* (* 4 a) c)))

simplify195.0ms (3%)

Memory

70.2MiB live, 70.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	849	13597
1	2803	13282
0	8708	12766

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 658

Calls

Call 1

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

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

rewrite155.0ms (2.4%)

Memory

61.5MiB live, 61.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	323
0	70	294
1	275	280
2	2343	264
0	8896	264

Stop Event

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

Counts

20 → 720

Calls

Call 1

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

Outputs
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eval177.0ms (2.7%)

Memory: 122.3MiB live, 122.3MiB allocated
Compiler: Compiled 42 848 to 3 993 computations (90.7% saved)

prune93.0ms (1.4%)

Memory

84.9MiB live, 84.9MiB allocated

Pruning

33 alts after pruning (28 fresh and 5 done)

	Pruned	Kept	Total
New	1 470	15	1 485
Fresh	7	13	20
Picked	2	3	5
Done	0	2	2
Total	1 479	33	1 512

Accuracy

92.6%

Counts

1 512 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.2%	(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b)))
	31.0%	(/.f64 (/.f64 (-.f64 (.f64 b b) #s(approx (- ( b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64)))) (-.f64 (neg.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))
	27.3%	(/.f64 (-.f64 (.f64 b b) #s(approx (- ( b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64)))) (.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64)))))))
▶	32.2%	(/.f64 (-.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))
	21.3%	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* -4 c) a) (* b b))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) (.f64 c c)) (/.f64 (.f64 b b) a) (/.f64 #s(literal -1/4 binary64) c)) a))))) (*.f64 #s(literal 2 binary64) a))
	30.3%	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* -4 c) a) (* b b))) (/.f64 #s(literal -1/4 binary64) (.f64 a c)))))) (.f64 #s(literal 2 binary64) a))
	31.0%	(/.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 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64))))))
	32.2%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64)))) b)))
✓	51.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)))
	36.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 a #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (.f64 (neg.f64 b) (fma.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) (/.f64 c b) #s(literal 2 binary64))))))
	33.5%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))))
	32.9%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))
▶	51.6%	(-.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal 2 binary64) a)))
✓	51.6%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
	32.2%	(.f64 (/.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))
	36.8%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ ( (* -4 c) a) (* b b))) (neg.f64 b)) b))
	28.6%	(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ ( (* -4 c) a) (* b b))) b) (.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64))))
▶	33.2%	#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
	2.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) b (/.f64 b a)))
	30.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (.f64 c a) (/.f64 c (.f64 b b)) c) (neg.f64 b)))
	1.9%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 a b) (.f64 (/.f64 b (.f64 c #s(literal 1 binary64))) #s(literal 1 binary64))) (.f64 (/.f64 b (.f64 c #s(literal 1 binary64))) (/.f64 a b))))
	25.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) a) (.f64 a b)) (*.f64 a a)))
✓	36.9%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
	36.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))
	36.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
	17.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 a) b)) #s(literal -1 binary64))))
✓	24.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)))
	9.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (.f64 c b) (.f64 b b))))
	24.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (fma.f64 a c (*.f64 (neg.f64 b) b)) a)) b)))
▶	24.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a)) b)))
✓	9.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))
	24.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 c (/.f64 (*.f64 b b) a))))))
	5.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64)))))

Compiler

Compiled 855 to 693 computations (18.9% saved)

simplify103.0ms (1.6%)

Memory

26.7MiB live, 26.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) a)
cost-diff	128	(*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b))
cost-diff	896	(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b)))
cost-diff	0	#s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64))))
cost-diff	0	(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64)))) b)
cost-diff	0	(/.f64 (-.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))
cost-diff	0	#s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a))
cost-diff	0	(/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a)) b)
cost-diff	0	#s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a)) b))
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a)) b)))
cost-diff	0	(neg.f64 c)
cost-diff	0	(/.f64 (neg.f64 c) b)
cost-diff	0	#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
cost-diff	0	(fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))
cost-diff	0	(/.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (*.f64 #s(literal 2 binary64) a))
cost-diff	1024	(-.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal 2 binary64) a)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	371
0	92	371
1	164	361
2	291	349
3	529	345
4	851	345
5	1909	345
6	5865	345
0	8175	345

Stop Event

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

Calls

Call 1

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

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

localize168.0ms (2.6%)

Memory

62.4MiB live, 62.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))
accuracy	0.1953125	(*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b))
accuracy	19.344829920148104	(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b)))
accuracy	26.261857725404685	(sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))
accuracy	2.992927419484257	(/.f64 (-.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))
accuracy	12.041835145667298	(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64)))) b)
accuracy	26.261857725404685	(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64))))
accuracy	39.91648357464482	#s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64)))
accuracy	8.252174687634032	(/.f64 (*.f64 (neg.f64 b) b) a)
accuracy	10.266164706420845	(/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a)) b)
accuracy	20.960597186033674	#s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a))
accuracy	40.431269257946745	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a)) b)))
accuracy	0	(/.f64 (neg.f64 c) b)
accuracy	0	(neg.f64 c)
accuracy	42.760302042933674	#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
accuracy	0.0078125	(fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))
accuracy	0.09765625	(/.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (*.f64 #s(literal 2 binary64) a))
accuracy	15.823999077341817	(-.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (.f64 #s(literal 2 binary64) a)))
accuracy	26.261857725404685	(sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))

Samples

64.0ms	178×	0	valid
41.0ms	46×	2	valid
18.0ms	27×	1	valid
6.0ms	5×	3	valid

Compiler

Compiled 534 to 88 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-div: 32.0ms (33.2% of total)

ival-mult: 25.0ms (26% of total)

ival-add: 11.0ms (11.4% of total)

adjust: 9.0ms (9.4% of total)

ival-sqrt: 9.0ms (9.4% of total)

ival-sub: 7.0ms (7.3% of total)

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

exact: 1.0ms (1% of total)

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

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

series53.0ms (0.8%)

Memory

23.1MiB live, 23.1MiB allocated

Counts

21 → 672

Calls

Call 1

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

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

Calls

9 calls:

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

simplify189.0ms (2.9%)

Memory

63.0MiB live, 63.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	693	12199
1	2229	11865
2	7445	11859
0	8019	11418

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 658

Calls

Call 1

Inputs
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (/ b a))
(+ (* -1 (/ c b)) (* 1/2 (/ b a)))
(+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))
(+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 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))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -1 (/ 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 b))
(+ (* -1 (/ b a)) (/ c b))
(* -1 (/ (pow b 2) a))
(- c (/ (pow b 2) a))
(- c (/ (pow b 2) a))
(- c (/ (pow b 2) a))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -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))))))))
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))
(+ (* -1/2 (/ b a)) (* 1/2 (/ b a)))
(+ (* -1 (/ c b)) (+ (* -1/2 (/ b a)) (* 1/2 (/ b a))))
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 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))))))))
(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 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (- (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))) (* 1/2 (/ b (* a c)))))
(* c (- (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) (* 1/2 (/ b (* a c)))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* 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))))))
(* -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 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(/ 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 (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
c
(* c (+ 1 (* -1 (/ (pow b 2) (* a c)))))
(* c (+ 1 (* -1 (/ (pow b 2) (* a c)))))
(* c (+ 1 (* -1 (/ (pow b 2) (* a c)))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* (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))))))
(* -4 (* a c))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* (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 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* 1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* 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))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ c b)
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(/ c b)
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
c
(* -1 (* c (- (/ (pow b 2) (* a c)) 1)))
(* -1 (* c (- (/ (pow b 2) (* a c)) 1)))
(* -1 (* c (- (/ (pow b 2) (* a c)) 1)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -2 (* (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))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -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))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(* (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 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(/ 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 (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
c
(+ c (* -1 (/ (pow b 2) a)))
(+ c (* -1 (/ (pow b 2) a)))
(+ c (* -1 (/ (pow b 2) a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* (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)))))))))
(* -4 (* a c))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* (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 (/ (pow b 2) a))
(* -1 (/ (pow b 2) a))
(* -1 (/ (pow b 2) a))
(* -1 (/ (pow b 2) a))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* 1/2 (/ b a))
(* b (+ (* -1 (/ c (pow b 2))) (* 1/2 (/ 1 a))))
(* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))))
(* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))))
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 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* 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)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* -1 (/ (pow b 2) a))
(* (pow b 2) (- (/ c (pow b 2)) (/ 1 a)))
(* (pow b 2) (- (/ c (pow b 2)) (/ 1 a)))
(* (pow b 2) (- (/ c (pow b 2)) (/ 1 a)))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -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)
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 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
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 (/ (pow b 2) a))
(* -1 (/ (pow b 2) a))
(* -1 (/ (pow b 2) a))
(* -1 (/ (pow b 2) 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)))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1/2 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))))))
(* -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)))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ c b))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (/ b a))
(* -1 (* b (+ (* -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 (/ (pow b 2) a))
(* (pow b 2) (- (/ c (pow b 2)) (/ 1 a)))
(* (pow b 2) (- (/ c (pow b 2)) (/ 1 a)))
(* (pow b 2) (- (/ c (pow b 2)) (/ 1 a)))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -2 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 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)))))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -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 (/ (pow b 2) a))
(* -1 (/ (pow b 2) a))
(* -1 (/ (pow b 2) a))
(* -1 (/ (pow b 2) 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)))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (/ b a))
(/ (+ (* -1 (/ (* a c) b)) (* 1/2 b)) a)
(/ (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/ (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)
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))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -1 (/ 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)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(* -1 (/ (pow b 2) a))
(/ (- (* a c) (pow b 2)) a)
(/ (- (* a c) (pow b 2)) a)
(/ (- (* a c) (pow b 2)) a)
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* -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))))))))
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))
(/ (+ (* -1/2 b) (* 1/2 b)) a)
(/ (+ (* -1 (/ (* a c) b)) (+ (* -1/2 b) (* 1/2 b))) a)
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))) a)
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))) a)
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
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 (/ (pow b 2) a))
(* -1 (/ (pow b 2) a))
(* -1 (/ (pow b 2) a))
(* -1 (/ (pow b 2) a))
(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)))
(+ (* -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 (* (sqrt (/ c a)) (sqrt -4)))) (* 1/2 (/ b a)))
(- (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) (* 1/2 (/ b a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (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)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
c
(+ c (* -1 (/ (pow b 2) a)))
(+ c (* -1 (/ (pow b 2) a)))
(+ c (* -1 (/ (pow b 2) a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (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))))))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 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))))))
(* -1 (/ (pow b 2) a))
(* -1 (/ (pow b 2) a))
(* -1 (/ (pow b 2) a))
(* -1 (/ (pow b 2) a))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* -1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* -1/2 b)) a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (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))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
c
(+ c (* -1 (/ (pow b 2) a)))
(+ c (* -1 (/ (pow b 2) a)))
(+ c (* -1 (/ (pow b 2) a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (* (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))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* -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 (/ (pow b 2) a))
(* -1 (/ (pow b 2) a))
(* -1 (/ (pow b 2) a))
(* -1 (/ (pow b 2) a))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))

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

rewrite152.0ms (2.3%)

Memory

59.7MiB live, 59.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	313
0	92	305
1	370	295
2	3105	278
0	8792	278

Stop Event

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

Counts

21 → 1 040

Calls

Call 1

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

Outputs
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eval216.0ms (3.3%)

Memory: 143.5MiB live, 143.5MiB allocated
Compiler: Compiled 46 028 to 3 663 computations (92% saved)

prune99.0ms (1.5%)

Memory

91.9MiB live, 91.9MiB allocated

Pruning

38 alts after pruning (30 fresh and 8 done)

	Pruned	Kept	Total
New	1 717	12	1 729
Fresh	5	18	23
Picked	2	3	5
Done	0	5	5
Total	1 724	38	1 762

Accuracy

92.6%

Counts

1 762 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.2%	(fma.f64 (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 (*.f64 #s(literal -1/2 binary64) b) a))
	51.6%	(fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a))
	31.0%	(/.f64 (/.f64 (-.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 a c) #s(literal -4 binary64))) (.f64 b b)) (+.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 (.f64 a c) #s(literal -4 binary64)))) b)) (*.f64 #s(literal 2 binary64) a))
✓	32.2%	(/.f64 (-.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))
	27.3%	(/.f64 (-.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 a c) #s(literal -4 binary64))) (.f64 b b)) (.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)))) b)))
	21.3%	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* -4 c) a) (* b b))) (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) (.f64 c c)) (/.f64 (.f64 b b) a) (/.f64 #s(literal -1/4 binary64) c)) a))))) (*.f64 #s(literal 2 binary64) a))
	30.3%	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* -4 c) a) (* b b))) (/.f64 #s(literal -1/4 binary64) (.f64 a c)))))) (.f64 #s(literal 2 binary64) a))
	31.0%	(/.f64 (.f64 (-.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 (.f64 a c) #s(literal -4 binary64))) (.f64 b b)) (/.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)))) b))
	32.2%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64)))) b)))
✓	51.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)))
	36.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 a #s(approx (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (.f64 (neg.f64 b) (fma.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) (/.f64 c b) #s(literal 2 binary64))))))
	33.5%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 (/.f64 a b) #s(literal 1/2 binary64) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))))
	36.9%	(-.f64 #s(approx (/ (sqrt (+ (* (* -4 c) a) (* b b))) (* 2 a)) (.f64 #s(literal -1/2 binary64) (/.f64 b a))) (/.f64 b (.f64 #s(literal 2 binary64) a)))
✓	51.6%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
	32.2%	(.f64 (/.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))
	36.8%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ ( (* -4 c) a) (* b b))) (neg.f64 b)) b))
	28.6%	(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ ( (* -4 c) a) (* b b))) b) (.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64))))
	27.2%	#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 c c)) (+.f64 #s(literal 0 binary64) c)) b))
✓	33.2%	#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 (neg.f64 c) b))
	32.9%	#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c)))
	33.1%	#s(approx (/ (+ (neg b) (/ (+ (* (* -4 c) a) (* b b)) (sqrt (+ (* (* -4 c) a) (* b b))))) (* 2 a)) (*.f64 c (/.f64 #s(literal -1 binary64) b)))
	2.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) b (/.f64 b a)))
	30.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (.f64 c a) (/.f64 c (.f64 b b)) c) (neg.f64 b)))
	1.9%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 a b) (.f64 (/.f64 b (.f64 c #s(literal 1 binary64))) #s(literal 1 binary64))) (.f64 (/.f64 b (.f64 c #s(literal 1 binary64))) (/.f64 a b))))
	25.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) a) (.f64 a b)) (*.f64 a a)))
✓	36.9%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
	36.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))
	36.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
	17.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 a) b)) #s(literal -1 binary64))))
✓	24.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)))
	9.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 (.f64 c b) (.f64 b b))))
	24.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (fma.f64 (neg.f64 b) b (*.f64 a c)) a)) b)))
✓	24.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a)) b)))
✓	9.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 c b)))
	24.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 c (/.f64 (*.f64 b b) a))))))
	28.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (.f64 (neg.f64 #s(approx (- c (/ ( b b) a)) (*.f64 b (/.f64 (neg.f64 b) a)))) (/.f64 #s(literal -1 binary64) b))))
	5.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (+ (* (/ (/ c b) b) b) (/ (neg b) a)) (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64)))))
	10.1%	#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* (* c -4) a) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64))

Compiler

Compiled 1 363 to 672 computations (50.7% saved)

regimes73.0ms (1.1%)

Memory

29.0MiB live, 29.0MiB allocated

Counts

61 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
51.7%	1	`a`
86.4%	3	`b`
51.7%	1	`c`
74.1%	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`

Compiler

Compiled 20 to 23 computations (-15% saved)

regimes15.0ms (0.2%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

42 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
86.4%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes14.0ms (0.2%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

37 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
86.3%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes13.0ms (0.2%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

34 → 3

Calls

Call 1

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

Outputs

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

(/.f64 (-.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))

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
82.2%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes10.0ms (0.2%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

27 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
82.1%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes18.0ms (0.3%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

25 → 2

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	b
8.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
51.0%	3	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
67.8%	2	`b`

Compiler

Compiled 18 to 17 computations (5.6% saved)

regimes5.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs
#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 (neg.f64 c) b))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
67.6%	2	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes10.0ms (0.2%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Results

Accuracy	Segments	Branch
36.9%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
36.9%	1	`a`
36.9%	1	`c`
44.4%	2	`b`

Compiler

Compiled 20 to 23 computations (-15% saved)

regimes8.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Accuracy

Total -0.6b remaining (-1.1%)

Threshold costs -0.6b (-1.1%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Results

Accuracy	Segments	Branch
10.1%	1	`c`
10.1%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
10.1%	1	`a`
10.1%	1	`b`

Compiler

Compiled 20 to 23 computations (-15% saved)

bsearch38.0ms (0.6%)

Memory

11.5MiB live, 11.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
26.0ms	5.030426665059779e-68	2.112743818491915e-64
6.0ms	-5.603231054309569e+157	-3.099248320693138e+149

Samples

10.0ms	117×	0	valid
6.0ms	37×	1	valid
5.0ms	22×	2	valid
3.0ms	35×	0	invalid

Compiler

Compiled 282 to 265 computations (6% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 6.0ms (36.5% of total)

ival-div: 2.0ms (12.2% of total)

ival-sub: 2.0ms (12.2% of total)

ival-sqrt: 2.0ms (12.2% of total)

ival-add: 2.0ms (12.2% of total)

adjust: 1.0ms (6.1% of total)

ival-neg: 1.0ms (6.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
1.0ms	5.030426665059779e-68	2.112743818491915e-64
1.0ms	-5.603231054309569e+157	-3.099248320693138e+149

Compiler

Compiled 271 to 265 computations (2.2% saved)

bsearch17.0ms (0.3%)

Memory

5.6MiB live, 5.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.030426665059779e-68	2.112743818491915e-64
13.0ms	-5.603231054309569e+157	-3.099248320693138e+149

Samples

8.0ms	96×	0	valid
0.0ms	3×	0	invalid

Compiler

Compiled 387 to 369 computations (4.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 2.0ms (34.1% of total)

ival-div: 1.0ms (17% of total)

ival-add: 1.0ms (17% of total)

ival-sub: 1.0ms (17% of total)

ival-sqrt: 1.0ms (17% of total)

ival-neg: 1.0ms (17% of total)

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

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

exact: 0.0ms (0% of total)

bsearch18.0ms (0.3%)

Memory

5.9MiB live, 5.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.030426665059779e-68	2.112743818491915e-64
14.0ms	-2.2408857696810938e-41	-2.0584393940065815e-42

Samples

9.0ms	96×	0	valid
1.0ms	15×	0	invalid

Compiler

Compiled 290 to 306 computations (-5.5% saved)

Precisions

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

ival-mult: 3.0ms (45.4% of total)

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

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

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.030426665059779e-68	2.112743818491915e-64
1.0ms	-2.2408857696810938e-41	-2.0584393940065815e-42

Compiler

Compiled 290 to 306 computations (-5.5% saved)

bsearch29.0ms (0.5%)

Memory

9.3MiB live, 9.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	-1.2852692300480788e-306	7.320969192829664e-303

Samples

13.0ms	144×	0	valid
5.0ms	59×	0	invalid

Compiler

Compiled 137 to 155 computations (-13.1% saved)

Precisions

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

ival-mult: 5.0ms (41.9% of total)

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

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

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch34.0ms (0.5%)

Memory

10.6MiB live, 10.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	5.068898447881776e-302	9.46493470176819e-292

Samples

14.0ms	160×	0	valid
7.0ms	77×	0	invalid

Compiler

Compiled 120 to 160 computations (-33.3% saved)

Precisions

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

ival-mult: 6.0ms (43.6% of total)

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

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

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch32.0ms (0.5%)

Memory

9.9MiB live, 9.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	-1.184639951289448e-290	-1.182342413842664e-295

Samples

13.0ms	144×	0	valid
7.0ms	78×	0	invalid

Compiler

Compiled 83 to 137 computations (-65.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 6.0ms (44.9% of total)

ival-div: 2.0ms (15% of total)

ival-sqrt: 2.0ms (15% of total)

ival-add: 1.0ms (7.5% of total)

ival-sub: 1.0ms (7.5% of total)

ival-neg: 1.0ms (7.5% of total)

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

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

exact: 0.0ms (0% of total)

simplify33.0ms (0.5%)

Memory

19.3MiB live, 19.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	100	540
1	127	539
2	157	539
3	171	539
4	179	539
5	181	539

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 1156068218945365/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) a) (/.f64 (.f64 #s(literal -1/2 binary64) b) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 1156068218945365/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -659999999999999998254074338242770588018116327580078418744789185011476978276780852473946178987674810188249120482129647002212065432590215608853050949632 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 1156068218945365/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -1667355148462087/196159429230833773869868419475239575503198607639501078528 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 1156068218945365/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (-.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)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -1667355148462087/196159429230833773869868419475239575503198607639501078528 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 1156068218945365/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ ( (* -4 c) a) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b #s(literal 5018671594610287/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) #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 (neg.f64 c) b)))
(if (<=.f64 b #s(literal -2761256655148517/23010472126237643618935106442099516590310105330461524130999050388189782503104123280986685097268164610703374576623538349780325090408245327679084471121852687920354290358382782115366684108959500047289994617866880738411283287339835248828660878149225886356908865367627046174713247480125403687018925610191900689563648 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (+ (* (/ 1/2 a) (sqrt (+ (* (* c -4) a) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64)))
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* (* c -4) a) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64))

Outputs
(if (<=.f64 b #s(literal -20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 1156068218945365/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) a) (/.f64 (.f64 #s(literal -1/2 binary64) b) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 1156068218945365/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))) a) (/.f64 (.f64 #s(literal -1/2 binary64) b) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 1156068218945365/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -20000000000000000343550647744354382360786208168610910215464656890400062525563770840165253485722346365445091919087085669573862252890346012499269098930176 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 1156068218945365/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) b) (.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -659999999999999998254074338242770588018116327580078418744789185011476978276780852473946178987674810188249120482129647002212065432590215608853050949632 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 1156068218945365/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -659999999999999998254074338242770588018116327580078418744789185011476978276780852473946178987674810188249120482129647002212065432590215608853050949632 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 1156068218945365/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -1667355148462087/196159429230833773869868419475239575503198607639501078528 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 1156068218945365/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (-.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)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -1667355148462087/196159429230833773869868419475239575503198607639501078528 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 1156068218945365/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 a c) #s(literal -4 binary64)))) b) (.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -1667355148462087/196159429230833773869868419475239575503198607639501078528 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 1156068218945365/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ ( (* -4 c) a) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -1667355148462087/196159429230833773869868419475239575503198607639501078528 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b #s(literal 1156068218945365/59285549689505892056868344324448208820874232148807968788202283012051522375647232 binary64)) (.f64 (-.f64 (sqrt.f64 #s(approx (+ ( (* -4 c) a) (* b b)) (.f64 (.f64 a c) #s(literal -4 binary64)))) b) (/.f64 #s(literal 1/2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))
(if (<=.f64 b #s(literal 5018671594610287/96512915280967053581473992690523770832804036027976092508745841039385957511899636693935577250212251899331606800230413394637016647999665010865694713564271216355093681467326336557610944624945266886348613585697529348641399137222620343503047635864810732050328281646899590278784472758879901186078227762530329829839567060992 binary64)) #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 (neg.f64 c) b)))
(if (<=.f64 b #s(literal -2761256655148517/23010472126237643618935106442099516590310105330461524130999050388189782503104123280986685097268164610703374576623538349780325090408245327679084471121852687920354290358382782115366684108959500047289994617866880738411283287339835248828660878149225886356908865367627046174713247480125403687018925610191900689563648 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (+ (* (/ 1/2 a) (sqrt (+ (* (* c -4) a) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64)))
#s(approx (+ (* (/ 1/2 a) (sqrt (+ (* (* c -4) a) (* b b)))) (* (/ 1/2 a) (neg b))) #s(literal 0 binary64))

soundness834.0ms (12.9%)

Memory

21.7MiB live, 21.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	323
0	70	294
1	275	280
2	2343	264
0	8896	264
0	545	3273
1	1738	3232
2	6070	3204
0	8235	3047
0	693	12199
1	2229	11865
2	7445	11859
0	8019	11418
0	958	13320
1	3085	13103
0	9011	12564
0	60	313
0	92	305
1	370	295
2	3105	278
0	8792	278
0	43	263
0	69	249
1	265	242
2	2271	234
0	8228	234
0	14	51
0	23	51
1	76	49
2	536	48
3	6864	48
0	8158	44

Stop Event

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

Compiler

Compiled 699 to 384 computations (45.1% saved)

preprocess72.0ms (1.1%)

Memory: 44.5MiB live, 44.5MiB allocated
Compiler: Compiled 482 to 182 computations (62.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze114.0ms (1.8%)

sample1.2s (19.1%)

explain233.0ms (3.6%)

preprocess119.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify69.0ms (1.1%)

localize48.0ms (0.7%)

series27.0ms (0.4%)

simplify153.0ms (2.4%)

rewrite131.0ms (2%)

eval83.0ms (1.3%)

prune33.0ms (0.5%)

simplify116.0ms (1.8%)

localize141.0ms (2.2%)

series76.0ms (1.2%)

simplify202.0ms (3.1%)

rewrite154.0ms (2.4%)

eval263.0ms (4.1%)

prune103.0ms (1.6%)

simplify110.0ms (1.7%)

localize132.0ms (2%)

series54.0ms (0.8%)

simplify195.0ms (3%)

rewrite155.0ms (2.4%)

eval177.0ms (2.7%)

prune93.0ms (1.4%)

simplify103.0ms (1.6%)

localize168.0ms (2.6%)

series53.0ms (0.8%)

simplify189.0ms (2.9%)

rewrite152.0ms (2.3%)

eval216.0ms (3.3%)

prune99.0ms (1.5%)

regimes73.0ms (1.1%)

regimes15.0ms (0.2%)

regimes14.0ms (0.2%)

regimes13.0ms (0.2%)

regimes10.0ms (0.2%)

regimes18.0ms (0.3%)

regimes5.0ms (0.1%)

regimes10.0ms (0.2%)

regimes8.0ms (0.1%)

bsearch38.0ms (0.6%)

bsearch2.0ms (0%)

bsearch17.0ms (0.3%)

bsearch18.0ms (0.3%)

bsearch3.0ms (0%)

bsearch29.0ms (0.5%)

bsearch34.0ms (0.5%)

bsearch32.0ms (0.5%)

simplify33.0ms (0.5%)

soundness834.0ms (12.9%)

preprocess72.0ms (1.1%)

end0.0ms (0%)

Profiling