Metrics for The quadratic formula (r1)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze185.0ms (1.8%)

Memory

34.7MiB live, 226.3MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	5
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	6
40%	37.4%	56.2%	0.1%	0%	6.2%	0%	7
48.3%	45.2%	48.4%	0.1%	0%	6.2%	0%	8
53%	48.4%	42.9%	0.1%	0%	8.6%	0%	9
58.1%	50.3%	36.3%	0.1%	0%	13.3%	0%	10
66.1%	56.8%	29.1%	0.1%	0%	14%	0%	11
70.4%	58.8%	24.7%	0.1%	0%	16.4%	0%	12

Compiler

Compiled 19 to 16 computations (15.8% saved)

sample2.1s (20.7%)

Memory

40.3MiB live, 2 596.0MiB allocated

Samples

775.0ms	5 541×	0	valid
287.0ms	1 180×	2	valid
256.0ms	1 352×	1	valid
131.0ms	936×	0	invalid
62.0ms	183×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-mult: 365.0ms (32.1% of total)

ival-neg: 143.0ms (12.6% of total)

ival-div: 136.0ms (12% of total)

ival-sub: 132.0ms (11.6% of total)

ival-sqrt: 128.0ms (11.3% of total)

ival-add: 124.0ms (10.9% of total)

adjust: 85.0ms (7.5% of total)

exact: 11.0ms (1% of total)

ival-true: 8.0ms (0.7% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain209.0ms (2.1%)

Memory

-25.7MiB live, 322.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
112	-	0	-	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`
68	-	0	-	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`
27	-	6	(3.882428093963871e-284 3.1126029276247797e-90 2.7689613165056565e-124)	`(/.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))`
3	-	0	-	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`
0	-	0	-	`a`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`(.f64 (.f64 #s(literal 4 binary64) a) c)`
0	-	0	-	`(*.f64 b b)`
0	-	0	-	`(*.f64 #s(literal 2 binary64) a)`
0	-	0	-	`c`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(neg.f64 b)`
0	-	0	-	`(*.f64 #s(literal 4 binary64) a)`
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	106	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	overflow	106
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	overflow	29
↳	`(*.f64 b b)`	overflow	87
`+.f64`	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`	cancellation	68	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`	u/n	21	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	underflow	6
↳	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`	underflow	34
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	underflow	41
↳	`(*.f64 b b)`	underflow	45
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`	uflow-rescue	6	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	underflow	6
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	underflow	41
↳	`(*.f64 b b)`	underflow	45
`-.f64`	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	nan-rescue	3	0
↳	`(*.f64 b b)`	overflow	87
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	overflow	29

Confusion

	Predicted +	Predicted -
+	145	0
-	16	95

Precision

0.9006211180124224

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	145	0	0
-	16	0	95

Precision?

0.9006211180124224

Recall?

1.0

Freqs

test

number	freq
0	95
1	120
2	39
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms	308×	0	valid
27.0ms	108×	2	valid
18.0ms	80×	1	valid
5.0ms	16×	3	valid

Compiler

Compiled 231 to 60 computations (74% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 20.0ms (37.9% of total)

ival-sqrt: 7.0ms (13.3% of total)

adjust: 6.0ms (11.4% of total)

ival-div: 6.0ms (11.4% of total)

ival-sub: 5.0ms (9.5% of total)

ival-add: 4.0ms (7.6% of total)

ival-neg: 2.0ms (3.8% of total)

ival-true: 1.0ms (1.9% of total)

exact: 1.0ms (1.9% of total)

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

preprocess129.0ms (1.3%)

Memory

-7.1MiB live, 75.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	158
1	162	144
2	463	144
3	1244	144
4	3263	144
5	6182	144
0	14	17
0	23	17
1	40	16
2	77	16
3	160	16
4	240	16
5	381	16
6	665	16
7	1142	16
8	2316	16
9	2622	16
10	2737	16
11	2792	16
12	2793	16
13	2793	16
14	2799	16
0	2799	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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	45.4%	(/.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)

simplify83.0ms (0.8%)

Memory

7.5MiB live, 44.7MiB 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	665	68
7	1142	68
8	2316	68
9	2622	68
10	2737	68
11	2792	68
12	2793	68
13	2793	68
14	2799	68
0	2799	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)

localize55.0ms (0.6%)

Memory

12.1MiB live, 85.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.6015625000000001	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
accuracy	5.705014639941481	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
accuracy	14.829762667976151	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy	26.121898606788356	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))

Samples

18.0ms	54×	2	valid
17.0ms	154×	0	valid
7.0ms	40×	1	valid
2.0ms	8×	3	valid

Compiler

Compiled 142 to 30 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 7.0ms (26.2% of total)

ival-mult: 7.0ms (26.2% of total)

adjust: 3.0ms (11.2% of total)

ival-sqrt: 3.0ms (11.2% of total)

ival-sub: 2.0ms (7.5% of total)

ival-add: 2.0ms (7.5% of total)

ival-neg: 1.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

series43.0ms (0.4%)

Memory

-18.7MiB live, 26.0MiB 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>) () ())) ())
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#s(alt (* a (- (/ (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 (* 1/2 (* (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)) (* 1/2 (* (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
21.0ms	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	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	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	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))))

simplify227.0ms (2.3%)

Memory

18.2MiB live, 203.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	545	3273
1	1738	3232
2	6108	3204
0	8374	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)))
(*.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) a (/.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 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)))))
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rewrite219.0ms (2.2%)

Memory

-18.8MiB live, 178.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	51
0	23	51
1	76	49
2	536	48
3	6892	48
0	8186	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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eval83.0ms (0.8%)

Memory: 29.9MiB live, 180.5MiB allocated
Compiler: Compiled 18 694 to 2 144 computations (88.5% saved)

prune27.0ms (0.3%)

Memory

-14.8MiB live, 72.4MiB 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

90.7%

Counts

594 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	22.1%	(/.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)))
	39.2%	(/.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))
	45.0%	(/.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))
	23.8%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
	29.1%	(/.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))
	25.9%	(/.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))
▶	33.1%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a))
▶	45.4%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)))
	45.2%	(-.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)))
	23.7%	(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #s(literal -1/2 binary64)))
▶	45.4%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
	29.8%	#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)))
	41.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
▶	29.9%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))

Compiler

Compiled 486 to 332 computations (31.7% saved)

simplify157.0ms (1.6%)

Memory

5.7MiB live, 190.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal -4 binary64) c)
cost-diff	0	(fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))
cost-diff	64	(fma.f64 b b (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))
cost-diff	576	(/.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)))
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)))
cost-diff	0	(*.f64 (/.f64 c b) #s(literal -2 binary64))
cost-diff	0	(.f64 (.f64 (/.f64 c b) #s(literal -2 binary64)) a)
cost-diff	0	#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 c b) #s(literal -2 binary64)) a))
cost-diff	0	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) 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: 0 (0.0ms)

Iter	Nodes	Cost
0	38	318
0	58	318
1	101	312
2	214	312
3	434	312
4	775	310
5	1789	306
6	6246	306
0	8228	304

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

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

localize195.0ms (2%)

Memory

-3.7MiB live, 317.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.3875019382569557	(.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b))
accuracy	14.829762667976151	(-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)
accuracy	18.850383055181588	(/.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)))
accuracy	26.121898606788356	(sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))
accuracy	0.46812479968813747	(/.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	5.635496632325234	(/.f64 a (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b))
accuracy	14.829762667976151	(-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)
accuracy	26.121898606788356	(sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))
accuracy	0.0078125	(*.f64 (/.f64 c b) #s(literal -2 binary64))
accuracy	4.299204662844242	(.f64 (.f64 (/.f64 c b) #s(literal -2 binary64)) a)
accuracy	5.705014639941481	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 #s(literal 2 binary64) a))
accuracy	37.231770314821524	#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 (.f64 (/.f64 c b) #s(literal -2 binary64)) a))
accuracy	0	(/.f64 (neg.f64 b) a)
accuracy	0	(neg.f64 b)
accuracy	44.88750657460082	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
accuracy	0.00390625	(fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))
accuracy	5.787045889941477	(.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	14.829762667976151	(-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)
accuracy	26.121898606788356	(sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))

Samples

86.0ms	154×	0	valid
54.0ms	52×	2	valid
16.0ms	40×	1	valid
7.0ms	10×	3	valid

Compiler

Compiled 592 to 63 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 113.0ms

ival-add: 55.0ms (48.5% of total)

ival-mult: 22.0ms (19.4% of total)

ival-div: 14.0ms (12.3% of total)

ival-sub: 7.0ms (6.2% of total)

adjust: 7.0ms (6.2% of total)

ival-sqrt: 7.0ms (6.2% of total)

exact: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

series88.0ms (0.9%)

Memory

31.2MiB live, 144.2MiB allocated

Counts

18 → 552

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

Calls

9 calls:

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

simplify243.0ms (2.4%)

Memory

21.1MiB live, 279.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1337	12377
1	4510	12006
0	8755	11585

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 549

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

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

rewrite290.0ms (2.9%)

Memory

-47.8MiB live, 224.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	216
0	58	216
1	211	210
2	1611	210
0	8595	210

Stop Event

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

Counts

18 → 955

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

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

eval568.0ms (5.7%)

Memory: 23.4MiB live, 505.7MiB allocated
Compiler: Compiled 80 426 to 5 501 computations (93.2% saved)

prune261.0ms (2.6%)

Memory

-13.9MiB live, 150.1MiB allocated

Pruning

31 alts after pruning (29 fresh and 2 done)

	Pruned	Kept	Total
New	2 335	26	2 361
Fresh	6	3	9
Picked	3	2	5
Done	0	0	0
Total	2 344	31	2 375

Accuracy

90.7%

Counts

2 375 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.3%	(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)))
	29.1%	(/.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))
▶	45.3%	(/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) a) c) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
	39.3%	(/.f64 (.f64 (.f64 #s(literal 4 binary64) a) c) (.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (.f64 #s(literal 2 binary64) a)))
	25.6%	(/.f64 #s(approx (+ (* b b) (+ (* (* -4 c) a) (* b b))) (.f64 #s(literal -4 binary64) (.f64 a c))) (.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)))
	29.1%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) b)))
▶	41.4%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))))
	41.2%	(/.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))))
✓	45.4%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
	29.1%	(.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))
	32.9%	(.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))))
	29.7%	(.f64 (/.f64 #s(literal 1/2 binary64) 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)))))
	5.2%	#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (fma.f64 (/.f64 (.f64 b #s(literal 3 binary64)) b) (/.f64 c b) (.f64 #s(literal -2 binary64) (/.f64 c b))) (.f64 (.f64 b #s(literal 3 binary64)) #s(literal 1/2 binary64))) a (.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (*.f64 a a)))
	2.5%	#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (pow.f64 b #s(literal 3 binary64)) a) (.f64 (.f64 (*.f64 (/.f64 b a) #s(literal 3 binary64)) c) #s(literal 1/2 binary64))) c))
	2.0%	#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (pow.f64 b #s(literal 3 binary64)) a) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (.f64 (/.f64 (.f64 (/.f64 b a) #s(literal 3 binary64)) b) (/.f64 a b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))) c)) c))
▶	5.6%	#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 (fma.f64 (.f64 (.f64 b #s(literal 3 binary64)) a) #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (.f64 a a)))
	5.0%	#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 3/2 binary64) (.f64 (.f64 b b) a)) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) c)))) (pow.f64 b #s(literal 3 binary64))))
	13.2%	#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))
	5.2%	#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (.f64 (.f64 b b) a)) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) c))) (pow.f64 b #s(literal 3 binary64))))
	12.9%	#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (.f64 (neg.f64 b) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))))))
	29.8%	#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)))
	1.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (pow.f64 b #s(literal 3 binary64)))) a))
	21.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 (neg.f64 b) b))) a))
	1.9%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))) (neg.f64 b)) a))
	19.0%	#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)))
▶	41.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
✓	29.9%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
	29.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
▶	29.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b)))))
	29.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 b (/.f64 #s(literal -1 binary64) a)))
	13.8%	#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))))

Compiler

Compiled 936 to 760 computations (18.8% saved)

simplify224.0ms (2.2%)

Memory

-2.9MiB live, 118.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 b #s(literal 3 binary64)) a)
cost-diff	0	(/.f64 (fma.f64 (.f64 (.f64 b #s(literal 3 binary64)) a) #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (.f64 a a))
cost-diff	0	#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 (fma.f64 (.f64 (.f64 b #s(literal 3 binary64)) a) #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (.f64 a a)))
cost-diff	6464	(fma.f64 (.f64 (.f64 b #s(literal 3 binary64)) a) #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) c) #s(literal -1/2 binary64)))
cost-diff	0	(/.f64 a b)
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))))
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))
cost-diff	0	(neg.f64 b)
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b)))))
cost-diff	768	(.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))))
cost-diff	0	(neg.f64 c)
cost-diff	0	(/.f64 (neg.f64 c) b)
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
cost-diff	0	(*.f64 #s(literal 4 binary64) a)
cost-diff	0	(.f64 (.f64 #s(literal 4 binary64) a) c)
cost-diff	128	(/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) a) c) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
cost-diff	1344	(.f64 (.f64 (*.f64 #s(literal 4 binary64) a) c) (/.f64 #s(literal 1/2 binary64) a))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	374
0	96	370
1	173	366
2	359	358
3	899	355
4	2263	333
5	6075	333
0	8112	329

Stop Event

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

Calls

Call 1

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

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

localize279.0ms (2.8%)

Memory

-10.6MiB live, 428.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	3.0786977991325735	(/.f64 (pow.f64 b #s(literal 3 binary64)) c)
accuracy	4.050762672471853	(fma.f64 (.f64 (.f64 b #s(literal 3 binary64)) a) #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) c) #s(literal -1/2 binary64)))
accuracy	19.82973874258863	(/.f64 (fma.f64 (.f64 (.f64 b #s(literal 3 binary64)) a) #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (.f64 a a))
accuracy	34.92596435754947	#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 (fma.f64 (.f64 (.f64 b #s(literal 3 binary64)) a) #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (.f64 a a)))
accuracy	0	(*.f64 (/.f64 b c) #s(literal -1/2 binary64))
accuracy	0.0078125	(fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))
accuracy	0.46812479968813747	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))))
accuracy	37.257695808701335	#s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64))))
accuracy	0.00390625	(-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b)))
accuracy	4.360116140518601	(.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))))
accuracy	7.832219726769092	(/.f64 c (*.f64 b b))
accuracy	44.9028920393232	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b)))))
accuracy	0	(/.f64 (neg.f64 c) b)
accuracy	0	(neg.f64 c)
accuracy	37.28009720225905	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
accuracy	3.0369462534377107	(/.f64 (.f64 (.f64 (.f64 #s(literal 4 binary64) a) c) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
accuracy	10.211693705393804	(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))))
accuracy	16.80883167322225	(.f64 (.f64 (*.f64 #s(literal 4 binary64) a) c) (/.f64 #s(literal 1/2 binary64) a))
accuracy	26.121898606788356	(sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))

Samples

93.0ms	89×	2	valid
50.0ms	67×	1	valid
33.0ms	84×	0	valid
19.0ms	16×	3	valid

Compiler

Compiled 606 to 102 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 131.0ms

ival-mult: 34.0ms (26% of total)

ival-div: 30.0ms (22.9% of total)

adjust: 21.0ms (16% of total)

ival-add: 14.0ms (10.7% of total)

ival-sqrt: 13.0ms (9.9% of total)

ival-sub: 8.0ms (6.1% of total)

ival-pow: 7.0ms (5.3% of total)

ival-neg: 2.0ms (1.5% of total)

exact: 1.0ms (0.8% of total)

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

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

series90.0ms (0.9%)

Memory

33.2MiB live, 186.7MiB allocated

Counts

24 → 696

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	c	@	-inf	((* (* (* 4 a) c) (/ 1/2 a)) (/ (* (* (* 4 a) c) (/ 1/2 a)) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b))))) (* (* 4 a) c) (* 4 a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (* (neg b) (- (/ 1 a) (/ c (* b b)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (- (/ 1 a) (/ c (* b b))) (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (+ (* 1/2 (/ a b)) (* (/ b c) -1/2)) (/ a b) (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (* a a)) (* (* b 3) a) (sqrt (+ (* (* c -4) a) (* b b))) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (/ c (* b b)) (* (/ b c) -1/2) (/ (pow b 3) c))
8.0ms	a	@	-inf	((* (* (* 4 a) c) (/ 1/2 a)) (/ (* (* (* 4 a) c) (/ 1/2 a)) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b))))) (* (* 4 a) c) (* 4 a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (* (neg b) (- (/ 1 a) (/ c (* b b)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (- (/ 1 a) (/ c (* b b))) (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (+ (* 1/2 (/ a b)) (* (/ b c) -1/2)) (/ a b) (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (* a a)) (* (* b 3) a) (sqrt (+ (* (* c -4) a) (* b b))) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (/ c (* b b)) (* (/ b c) -1/2) (/ (pow b 3) c))
7.0ms	b	@	-inf	((* (* (* 4 a) c) (/ 1/2 a)) (/ (* (* (* 4 a) c) (/ 1/2 a)) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b))))) (* (* 4 a) c) (* 4 a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (* (neg b) (- (/ 1 a) (/ c (* b b)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (- (/ 1 a) (/ c (* b b))) (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (+ (* 1/2 (/ a b)) (* (/ b c) -1/2)) (/ a b) (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (* a a)) (* (* b 3) a) (sqrt (+ (* (* c -4) a) (* b b))) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (/ c (* b b)) (* (/ b c) -1/2) (/ (pow b 3) c))
6.0ms	c	@	inf	((* (* (* 4 a) c) (/ 1/2 a)) (/ (* (* (* 4 a) c) (/ 1/2 a)) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b))))) (* (* 4 a) c) (* 4 a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (* (neg b) (- (/ 1 a) (/ c (* b b)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (- (/ 1 a) (/ c (* b b))) (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (+ (* 1/2 (/ a b)) (* (/ b c) -1/2)) (/ a b) (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (* a a)) (* (* b 3) a) (sqrt (+ (* (* c -4) a) (* b b))) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (/ c (* b b)) (* (/ b c) -1/2) (/ (pow b 3) c))
5.0ms	b	@	0	((* (* (* 4 a) c) (/ 1/2 a)) (/ (* (* (* 4 a) c) (/ 1/2 a)) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b))))) (* (* 4 a) c) (* 4 a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (* (neg b) (- (/ 1 a) (/ c (* b b)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (- (/ 1 a) (/ c (* b b))) (/ 1/2 (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (+ (* 1/2 (/ a b)) (* (/ b c) -1/2)) (/ a b) (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (* a a)) (* (* b 3) a) (sqrt (+ (* (* c -4) a) (* b b))) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (/ c (* b b)) (* (/ b c) -1/2) (/ (pow b 3) c))

simplify318.0ms (3.2%)

Memory

-9.6MiB live, 430.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1422	12214
1	4768	11791
0	9499	11439

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 693

Calls

Call 1

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

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

rewrite163.0ms (1.6%)

Memory

-22.1MiB live, 255.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	307
0	96	303
1	384	299
2	2961	299
0	8452	298

Stop Event

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

Counts

24 → 452

Calls

Call 1

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

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eval165.0ms (1.7%)

Memory: 34.5MiB live, 342.8MiB allocated
Compiler: Compiled 27 652 to 3 354 computations (87.9% saved)

prune51.0ms (0.5%)

Memory

5.5MiB live, 168.5MiB allocated

Pruning

26 alts after pruning (22 fresh and 4 done)

	Pruned	Kept	Total
New	1 155	9	1 164
Fresh	11	13	24
Picked	3	2	5
Done	0	2	2
Total	1 169	26	1 195

Accuracy

90.7%

Counts

1 195 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	29.1%	(/.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))
	25.6%	(/.f64 #s(approx (+ (* b b) (+ (* (* -4 c) a) (* b b))) (.f64 #s(literal -4 binary64) (.f64 a c))) (.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)))
▶	51.6%	(/.f64 #s(approx (* (* (* 4 a) c) (/ 1/2 a)) (.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
	29.1%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) b)))
✓	41.4%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal -1/2 binary64)))))
✓	45.4%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
	29.1%	(.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))
	5.2%	#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (fma.f64 (/.f64 (.f64 b #s(literal 3 binary64)) b) (/.f64 c b) (.f64 #s(literal -2 binary64) (/.f64 c b))) (.f64 (.f64 b #s(literal 3 binary64)) #s(literal 1/2 binary64))) a (.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (*.f64 a a)))
	2.0%	#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (pow.f64 b #s(literal 3 binary64)) a) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (.f64 (/.f64 (.f64 (/.f64 b a) #s(literal 3 binary64)) b) (/.f64 a b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))) c)) c))
	5.7%	#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 #s(approx (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (.f64 (fma.f64 (/.f64 (.f64 b b) c) #s(literal -1/2 binary64) (.f64 #s(literal 3/2 binary64) a)) b)) (.f64 a a)))
▶	1.8%	#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 #s(approx (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (.f64 #s(literal 3/2 binary64) (.f64 a b))) (*.f64 a a)))
	5.0%	#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 3/2 binary64) (.f64 (.f64 b b) a)) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) c)))) (pow.f64 b #s(literal 3 binary64))))
	12.9%	#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (.f64 (neg.f64 b) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))))))
▶	5.8%	#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (/ (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (* a a)) (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 a a)) (/.f64 (*.f64 b b) c) (/.f64 #s(literal 3/2 binary64) a)) b)))
	2.5%	#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (/ (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (* a a)) (*.f64 #s(literal 3/2 binary64) (/.f64 b a))))
	21.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 (neg.f64 b) b))) a))
	19.0%	#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)))
✓	41.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
✓	29.9%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
	29.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
	29.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (.f64 (neg.f64 b) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (.f64 b (/.f64 b c))))))
	29.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 b (/.f64 #s(literal -1 binary64) a)))
	13.8%	#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))))
▶	11.0%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (- (/ 1 a) (/ c (* b b)))) (/.f64 c b)))
	29.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (- (/ 1 a) (/ c (* b b)))) (-.f64 (/.f64 c b) (/.f64 b a))))
	25.0%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (- (/ 1 a) (/ c (* b b)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 b a) c)) c)))

Compiler

Compiled 710 to 581 computations (18.2% saved)

simplify180.0ms (1.8%)

Memory

-6.3MiB live, 181.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1/2 binary64) (*.f64 a a))
cost-diff	0	#s(approx (/ (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (* a a)) (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 a a)) (/.f64 (*.f64 b b) c) (/.f64 #s(literal 3/2 binary64) a)) b))
cost-diff	0	#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (/ (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (* a a)) (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 a a)) (/.f64 (*.f64 b b) c) (/.f64 #s(literal 3/2 binary64) a)) b)))
cost-diff	704	(.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 a a)) (/.f64 (*.f64 b b) c) (/.f64 #s(literal 3/2 binary64) a)) 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 #s(literal 3/2 binary64) (.f64 a b))
cost-diff	0	#s(approx (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (.f64 #s(literal 3/2 binary64) (.f64 a b)))
cost-diff	0	(/.f64 #s(approx (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (.f64 #s(literal 3/2 binary64) (.f64 a b))) (*.f64 a a))
cost-diff	0	#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 #s(approx (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (.f64 #s(literal 3/2 binary64) (.f64 a b))) (*.f64 a a)))
cost-diff	0	(/.f64 c b)
cost-diff	0	#s(approx (* (neg b) (- (/ 1 a) (/ c (* b b)))) (/.f64 c b))
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (- (/ 1 a) (/ c (* b b)))) (/.f64 c b)))
cost-diff	0	(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))))
cost-diff	0	(*.f64 c #s(literal 2 binary64))
cost-diff	0	#s(approx (* (* (* 4 a) c) (/ 1/2 a)) (*.f64 c #s(literal 2 binary64)))
cost-diff	0	(/.f64 #s(approx (* (* (* 4 a) c) (/ 1/2 a)) (.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	503
0	103	499
1	189	491
2	397	475
3	960	473
4	2070	442
5	5502	442
0	8594	432

Stop Event

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

Calls

Call 1

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

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

localize296.0ms (3%)

Memory

-18.1MiB live, 393.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	1.475298103626136	(.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 a a)) (/.f64 (*.f64 b b) c) (/.f64 #s(literal 3/2 binary64) a)) b)
accuracy	8.00641167019802	(/.f64 (*.f64 b b) c)
accuracy	13.826772518744576	(fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 a a)) (/.f64 (.f64 b b) c) (/.f64 #s(literal 3/2 binary64) a))
accuracy	34.92596435754947	#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (/ (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (* a a)) (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (.f64 a a)) (/.f64 (*.f64 b b) c) (/.f64 #s(literal 3/2 binary64) a)) b)))
accuracy	5.705014639941481	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 #s(literal -4 binary64) (.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
accuracy	14.829762667976151	(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 #s(literal -4 binary64) (.f64 c a)))))
accuracy	26.121898606788356	(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 #s(literal -4 binary64) (.f64 c a))))
accuracy	40.858021350964876	#s(approx (- (* b b) (* (* 4 a) c)) (.f64 #s(literal -4 binary64) (.f64 c a)))
accuracy	0.24609375	(.f64 #s(literal 3/2 binary64) (.f64 a b))
accuracy	19.82973874258863	(/.f64 #s(approx (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (.f64 #s(literal 3/2 binary64) (.f64 a b))) (*.f64 a a))
accuracy	34.92596435754947	#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 #s(approx (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (.f64 #s(literal 3/2 binary64) (.f64 a b))) (*.f64 a a)))
accuracy	38.303042765942806	#s(approx (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (.f64 #s(literal 3/2 binary64) (.f64 a b)))
accuracy	0	(/.f64 c b)
accuracy	42.71792562804443	#s(approx (* (neg b) (- (/ 1 a) (/ c (* b b)))) (/.f64 c b))
accuracy	44.9028920393232	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (- (/ 1 a) (/ c (* b b)))) (/.f64 c b)))
accuracy	0.00390625	(fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))
accuracy	3.0369462534377107	(/.f64 #s(approx (* (* (* 4 a) c) (/ 1/2 a)) (.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
accuracy	10.211693705393804	(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))))
accuracy	26.121898606788356	(sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))

Samples

112.0ms	89×	2	valid
80.0ms	67×	1	valid
35.0ms	84×	0	valid
19.0ms	16×	3	valid

Compiler

Compiled 631 to 102 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 191.0ms

ival-div: 75.0ms (39.3% of total)

ival-mult: 45.0ms (23.6% of total)

adjust: 23.0ms (12.1% of total)

ival-add: 15.0ms (7.9% of total)

ival-sqrt: 11.0ms (5.8% of total)

ival-sub: 10.0ms (5.2% of total)

ival-pow: 8.0ms (4.2% of total)

exact: 1.0ms (0.5% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

series87.0ms (0.9%)

Memory

40.6MiB live, 150.6MiB allocated

Counts

24 → 744

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
15.0ms	c	@	0	((/ (* (* (* 4 a) c) (/ 1/2 a)) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b))))) (* (* (* 4 a) c) (/ 1/2 a)) (* c 2) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (neg b) (- (/ 1 a) (/ c (* b b)))) (/ c b) (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (* a a)) (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (* 3/2 (* a b)) (+ (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))) (* (+ (* (/ -1/2 (* a a)) (/ (* b b) c)) (/ 3/2 a)) b) (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (* a a)) (/ -1/2 (* a a)) (sqrt (+ (* (* c -4) a) (* b b))) (+ (* (* c -4) a) (* b b)) (- (* b b) (* (* 4 a) c)) (+ (* (/ -1/2 (* a a)) (/ (* b b) c)) (/ 3/2 a)) (/ (* b b) c))
8.0ms	c	@	-inf	((/ (* (* (* 4 a) c) (/ 1/2 a)) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b))))) (* (* (* 4 a) c) (/ 1/2 a)) (* c 2) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (neg b) (- (/ 1 a) (/ c (* b b)))) (/ c b) (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (* a a)) (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (* 3/2 (* a b)) (+ (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))) (* (+ (* (/ -1/2 (* a a)) (/ (* b b) c)) (/ 3/2 a)) b) (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (* a a)) (/ -1/2 (* a a)) (sqrt (+ (* (* c -4) a) (* b b))) (+ (* (* c -4) a) (* b b)) (- (* b b) (* (* 4 a) c)) (+ (* (/ -1/2 (* a a)) (/ (* b b) c)) (/ 3/2 a)) (/ (* b b) c))
5.0ms	a	@	inf	((/ (* (* (* 4 a) c) (/ 1/2 a)) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b))))) (* (* (* 4 a) c) (/ 1/2 a)) (* c 2) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (neg b) (- (/ 1 a) (/ c (* b b)))) (/ c b) (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (* a a)) (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (* 3/2 (* a b)) (+ (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))) (* (+ (* (/ -1/2 (* a a)) (/ (* b b) c)) (/ 3/2 a)) b) (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (* a a)) (/ -1/2 (* a a)) (sqrt (+ (* (* c -4) a) (* b b))) (+ (* (* c -4) a) (* b b)) (- (* b b) (* (* 4 a) c)) (+ (* (/ -1/2 (* a a)) (/ (* b b) c)) (/ 3/2 a)) (/ (* b b) c))
4.0ms	b	@	inf	((/ (* (* (* 4 a) c) (/ 1/2 a)) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b))))) (* (* (* 4 a) c) (/ 1/2 a)) (* c 2) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (neg b) (- (/ 1 a) (/ c (* b b)))) (/ c b) (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (* a a)) (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (* 3/2 (* a b)) (+ (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))) (* (+ (* (/ -1/2 (* a a)) (/ (* b b) c)) (/ 3/2 a)) b) (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (* a a)) (/ -1/2 (* a a)) (sqrt (+ (* (* c -4) a) (* b b))) (+ (* (* c -4) a) (* b b)) (- (* b b) (* (* 4 a) c)) (+ (* (/ -1/2 (* a a)) (/ (* b b) c)) (/ 3/2 a)) (/ (* b b) c))
3.0ms	b	@	-inf	((/ (* (* (* 4 a) c) (/ 1/2 a)) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b))))) (* (* (* 4 a) c) (/ 1/2 a)) (* c 2) (- (neg b) (sqrt (+ (* (* c -4) a) (* b b)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (neg b) (- (/ 1 a) (/ c (* b b)))) (/ c b) (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (* a a)) (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (* 3/2 (* a b)) (+ (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))) (* (+ (* (/ -1/2 (* a a)) (/ (* b b) c)) (/ 3/2 a)) b) (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/ (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (* a a)) (/ -1/2 (* a a)) (sqrt (+ (* (* c -4) a) (* b b))) (+ (* (* c -4) a) (* b b)) (- (* b b) (* (* 4 a) c)) (+ (* (/ -1/2 (* a a)) (/ (* b b) c)) (/ 3/2 a)) (/ (* b b) c))

simplify227.0ms (2.3%)

Memory

25.8MiB live, 317.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1271	15345
1	4207	14844
0	8263	14310

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 738

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

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

rewrite223.0ms (2.2%)

Memory

-33.5MiB live, 299.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	449
0	103	445
1	417	437
2	3386	437
0	8867	430

Stop Event

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

Counts

24 → 497

Calls

Call 1

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

Outputs
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eval166.0ms (1.7%)

Memory: 27.4MiB live, 288.4MiB allocated
Compiler: Compiled 31 166 to 3 662 computations (88.3% saved)

prune349.0ms (3.5%)

Memory

-118.8MiB live, 152.6MiB allocated

Pruning

32 alts after pruning (26 fresh and 6 done)

	Pruned	Kept	Total
New	1 244	14	1 258
Fresh	5	12	17
Picked	2	3	5
Done	1	3	4
Total	1 252	32	1 284

Accuracy

90.7%

Counts

1 284 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.1%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 #s(literal -4 binary64) c) a))) b) (*.f64 a #s(literal 2 binary64)))
✓	51.6%	(/.f64 #s(approx (* (* (* 4 a) c) (/ 1/2 a)) (.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
	30.9%	(/.f64 #s(approx (* (* (* 4 a) c) (/ 1/2 a)) (.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ ( (* c -4) a) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c))))))
	6.0%	(/.f64 #s(approx (* (* (* 4 a) c) (/ 1/2 a)) (.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) #s(approx (sqrt (+ ( (* c -4) a) (* b b))) (.f64 (neg.f64 b) (fma.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) (/.f64 c b) #s(literal 1 binary64))))))
	41.9%	(/.f64 #s(approx (* (* (* 4 a) c) (/ 1/2 a)) (.f64 c #s(literal 2 binary64))) #s(approx (- (neg b) (sqrt (+ ( (* c -4) a) (* b b)))) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b)))))
	51.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) #s(approx (* (* (* 4 a) c) (/ 1/2 a)) (*.f64 #s(literal 2 binary64) c))))
✓	45.4%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
	29.1%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 (.f64 #s(literal -4 binary64) c) a))) b))
	5.2%	#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (fma.f64 (/.f64 (.f64 b #s(literal 3 binary64)) b) (/.f64 c b) (.f64 #s(literal -2 binary64) (/.f64 c b))) (.f64 (.f64 b #s(literal 3 binary64)) #s(literal 1/2 binary64))) a (.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) c) #s(literal -1/2 binary64))) (*.f64 a a)))
	2.0%	#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (pow.f64 b #s(literal 3 binary64)) a) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) b) (.f64 (/.f64 (.f64 (/.f64 b a) #s(literal 3 binary64)) b) (/.f64 a b))) c (*.f64 (/.f64 b a) #s(literal 3 binary64)))) c)) c))
	2.2%	#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 (/.f64 #s(approx (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (.f64 (.f64 b a) #s(literal 3/2 binary64))) a) a))
	1.8%	#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 #s(approx (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (.f64 (.f64 #s(literal 3/2 binary64) a) b)) (*.f64 a a)))
✓	1.8%	#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 #s(approx (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (.f64 #s(literal 3/2 binary64) (.f64 a b))) (*.f64 a a)))
	1.8%	#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) #s(approx (+ ( (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (.f64 (.f64 b a) #s(literal 3/2 binary64))))))
	5.0%	#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 3/2 binary64) (.f64 (.f64 b b) a)) (/.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) c)))) (pow.f64 b #s(literal 3 binary64))))
	12.9%	#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (.f64 (neg.f64 b) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))))))
	6.5%	#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (/ (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (* a a)) (.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) c) (.f64 (/.f64 b a) (/.f64 b a)) (/.f64 #s(literal 3/2 binary64) a)) b)))
	6.0%	#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (/ (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (* a a)) (.f64 #s(approx (+ ( (/ -1/2 (* a a)) (/ (* b b) c)) (/ 3/2 a)) (/.f64 (fma.f64 (/.f64 (.f64 b b) c) #s(literal -1/2 binary64) (.f64 #s(literal 3/2 binary64) a)) (*.f64 a a))) b)))
	2.5%	#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (/ (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (* a a)) (.f64 #s(approx (+ ( (/ -1/2 (* a a)) (/ (* b b) c)) (/ 3/2 a)) (/.f64 #s(literal 3/2 binary64) a)) b)))
	2.5%	#s(approx (/ (+ (* b b) (+ (* (* -4 c) a) (* b b))) (* (* 2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) #s(approx (/ (+ (* (* (* b 3) a) 1/2) (* (/ (pow b 3) c) -1/2)) (* a a)) (*.f64 #s(literal 3/2 binary64) (/.f64 b a))))
	21.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 (neg.f64 b) b))) a))
	19.0%	#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)))
✓	41.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
✓	29.9%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
	29.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
	29.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 b (/.f64 #s(literal -1 binary64) a)))
	13.8%	#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))))
✓	11.0%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (- (/ 1 a) (/ c (* b b)))) (/.f64 c b)))
	11.0%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (- (/ 1 a) (/ c (* b b)))) (/.f64 #s(literal 1 binary64) (/.f64 b c))))
	29.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (- (/ 1 a) (/ c (* b b)))) (-.f64 (/.f64 c b) (/.f64 b a))))
	25.0%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (- (/ 1 a) (/ c (* b b)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 b a) c)) c)))
	3.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (- (/ 1 a) (/ c (* b b)))) (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64)))))

Compiler

Compiled 1 434 to 673 computations (53.1% saved)

regimes77.0ms (0.8%)

Memory

8.2MiB live, 123.1MiB allocated

Counts

64 → 4

Calls

Call 1

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

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

Calls

4 calls:

19.0ms	b
18.0ms	(/.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))
18.0ms	a
17.0ms	c

Results

Accuracy	Segments	Branch
55.0%	3	`a`
90.2%	4	`b`
57.8%	4	`c`
74.9%	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)

regimes35.0ms (0.4%)

Memory

-13.6MiB live, 24.4MiB allocated

Counts

38 → 4

Calls

Call 1

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

Outputs
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (- (/ 1 a) (/ c (* b b)))) (-.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))
(/.f64 #s(approx (* (* (* 4 a) c) (/ 1/2 a)) (.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (*.f64 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
90.2%	4	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes12.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

34 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
87.0%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes11.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

32 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
85.2%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes22.0ms (0.2%)

Memory

-22.4MiB live, 15.9MiB allocated

Counts

28 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

20.0ms

Results

Accuracy	Segments	Branch
85.0%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated

Counts

25 → 3

Calls

Call 1

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

Outputs

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

7.0ms

Results

Accuracy	Segments	Branch
85.0%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes18.0ms (0.2%)

Memory

-14.2MiB live, 24.7MiB allocated

Counts

21 → 2

Calls

Call 1

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

Outputs

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

10.0ms	(/.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))
6.0ms	b

Results

Accuracy	Segments	Branch
52.0%	4	`(/.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))`
69.4%	2	`b`

Compiler

Compiled 18 to 17 computations (5.6% saved)

regimes4.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

9 → 2

Calls

Call 1

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

3.0ms

Results

Accuracy	Segments	Branch
69.3%	2	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

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

Calls

4 calls:

2.0ms	b
2.0ms	a
2.0ms	c
1.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
29.9%	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))`
29.9%	1	`a`
33.1%	3	`c`
38.1%	2	`b`

Compiler

Compiled 20 to 23 computations (-15% saved)

regimes7.0ms (0.1%)

Memory

-25.8MiB live, 12.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
11.0%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
11.0%	1	`a`
11.0%	1	`c`
11.0%	1	`b`

Compiler

Compiled 20 to 23 computations (-15% saved)

bsearch34.0ms (0.3%)

Memory

23.1MiB live, 59.7MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	7.466524799030154e+129	7.87432924134309e+129
17.0ms	7.359368616554585e-287	1.5419151775617576e-286
10.0ms	-2.258330926369761e+149	-8.458972509672472e+148

Samples

13.0ms	164×	0	valid
6.0ms	50×	0	invalid
1.0ms	8×	1	valid
1.0ms	4×	2	valid

Compiler

Compiled 322 to 302 computations (6.2% saved)

Precisions

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

ival-mult: 8.0ms (52.4% of total)

ival-sqrt: 2.0ms (13.1% of total)

ival-div: 2.0ms (13.1% of total)

ival-add: 1.0ms (6.5% of total)

ival-sub: 1.0ms (6.5% of total)

ival-neg: 1.0ms (6.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch61.0ms (0.6%)

Memory

-8.9MiB live, 73.1MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	7.466524799030154e+129	7.87432924134309e+129
33.0ms	-5.3317792927465825e-281	-1.021154088076841e-291
22.0ms	-5.376737255515775e+75	-1.100479159813229e+63

Samples

29.0ms	320×	0	valid
9.0ms	109×	0	invalid

Compiler

Compiled 602 to 542 computations (10% saved)

Precisions

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

ival-mult: 13.0ms (49.7% of total)

ival-div: 3.0ms (11.5% of total)

ival-sqrt: 3.0ms (11.5% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch36.0ms (0.4%)

Memory

7.8MiB live, 45.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	2.86899109839407e-104	1.316413347421089e-92
1.0ms	-5.376737255515775e+75	-1.100479159813229e+63

Samples

10.0ms	102×	0	valid
6.0ms	38×	1	valid
4.0ms	20×	2	valid
3.0ms	40×	0	invalid

Compiler

Compiled 560 to 500 computations (10.7% saved)

Precisions

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

ival-mult: 5.0ms (30.2% of total)

ival-div: 4.0ms (24.1% of total)

ival-sub: 2.0ms (12.1% of total)

ival-sqrt: 2.0ms (12.1% of total)

adjust: 1.0ms (6% of total)

ival-add: 1.0ms (6% of total)

ival-neg: 1.0ms (6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch28.0ms (0.3%)

Memory

3.8MiB live, 40.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.86899109839407e-104	1.316413347421089e-92
24.0ms	-1.7559934153945928e-72	-4.883367876852512e-81

Samples

12.0ms	144×	0	valid
6.0ms	33×	0	invalid

Compiler

Compiled 536 to 516 computations (3.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 4.0ms (41.3% of total)

ival-div: 1.0ms (10.3% of total)

ival-add: 1.0ms (10.3% of total)

ival-sub: 1.0ms (10.3% of total)

ival-sqrt: 1.0ms (10.3% of total)

ival-neg: 1.0ms (10.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Memory

-15.3MiB live, 20.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.86899109839407e-104	1.316413347421089e-92
3.0ms	-1.7559934153945928e-72	-4.883367876852512e-81

Samples

6.0ms	39×	0	valid
1.0ms	11×	0	invalid
1.0ms	4×	2	valid
1.0ms	5×	1	valid

Compiler

Compiled 498 to 478 computations (4% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (50.6% of total)

ival-div: 1.0ms (25.3% of total)

ival-sqrt: 1.0ms (25.3% of total)

adjust: 0.0ms (0% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch37.0ms (0.4%)

Memory

-0.9MiB live, 46.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
32.0ms	6.537860571900323e-109	2.86899109839407e-104
1.0ms	-1.7559934153945928e-72	-4.883367876852512e-81

Samples

16.0ms	85×	0	valid
4.0ms	29×	1	valid
3.0ms	36×	0	invalid
3.0ms	14×	2	valid

Compiler

Compiled 362 to 378 computations (-4.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 14.0ms (66.3% of total)

ival-div: 2.0ms (9.5% of total)

ival-sqrt: 2.0ms (9.5% of total)

adjust: 1.0ms (4.7% of total)

ival-sub: 1.0ms (4.7% of total)

ival-add: 1.0ms (4.7% of total)

ival-neg: 1.0ms (4.7% of total)

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

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

exact: 0.0ms (0% of total)

bsearch33.0ms (0.3%)

Memory

15.0MiB live, 52.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	-1.2592886135476968e-301	7.903307228487673e-305

Samples

13.0ms	160×	0	valid
9.0ms	88×	0	invalid

Compiler

Compiled 160 to 180 computations (-12.5% saved)

Precisions

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

ival-mult: 6.0ms (40.9% of total)

ival-sqrt: 3.0ms (20.4% of total)

ival-div: 2.0ms (13.6% of total)

ival-add: 1.0ms (6.8% of total)

ival-sub: 1.0ms (6.8% of total)

ival-neg: 1.0ms (6.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch28.0ms (0.3%)

Memory

11.5MiB live, 49.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	1.6686377101433688e-293	1.9489220308520874e-290

Samples

12.0ms	128×	0	valid
6.0ms	80×	0	invalid

Compiler

Compiled 100 to 132 computations (-32% saved)

Precisions

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

ival-mult: 6.0ms (46.5% of total)

ival-div: 1.0ms (7.8% of total)

ival-add: 1.0ms (7.8% of total)

ival-sub: 1.0ms (7.8% of total)

ival-sqrt: 1.0ms (7.8% of total)

ival-neg: 1.0ms (7.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch32.0ms (0.3%)

Memory

-27.7MiB live, 50.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	7.779351369028577e+65	1.728230610666226e+69

Samples

8.0ms	43×	2	valid
8.0ms	44×	1	valid
3.0ms	37×	0	valid
1.0ms	4×	3	valid
0.0ms	3×	0	invalid

Compiler

Compiled 100 to 132 computations (-32% saved)

Precisions

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

ival-mult: 5.0ms (32.1% of total)

adjust: 3.0ms (19.2% of total)

ival-div: 2.0ms (12.8% of total)

ival-sqrt: 2.0ms (12.8% of total)

ival-sub: 1.0ms (6.4% of total)

ival-add: 1.0ms (6.4% of total)

ival-neg: 1.0ms (6.4% of total)

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

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

exact: 0.0ms (0% of total)

simplify92.0ms (0.9%)

Memory

30.0MiB live, 66.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	123	827
1	199	810
2	346	810
3	709	802
4	1312	746
5	3755	746
6	6646	746

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -105000000000000007981770057170519077063379959933245820637141014516803840651876489946301529763924666691210663642197507031744210480936829000665276612608 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 1607262910779401/21430172143725346418968500981200036211228096234110672148875007767407021022498722449863967576313917162551893458351062936503742905713846280871969155149397149607869135549648461970842149210124742283755908364306092949967163882534797535118331087892154125829142392955373084335320859663305248773674411336138752 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)) (if (<=.f64 b #s(literal 7499999999999999832716740026723376196951966124509602327181343522718901967621263760893517576156035249236351261606435768420850991104 binary64)) (/.f64 #s(approx (* (* (* 4 a) c) (/ 1/2 a)) (.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))))
(if (<=.f64 b #s(literal -5199999999999999698353764330651748179343881336095363139875911071997525753856 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (- (/ 1 a) (/ c (* b b)))) (-.f64 (/.f64 c b) (/.f64 b a)))) (if (<=.f64 b #s(literal -5842502688302527/5617791046444737211654078721215702292556178059194708039794690036179146118921905097897139916325235500660003558745981042426837180275450519452901482207483566386805246669527046414884444362538940441232908842252656430276192208823201965046059784704400851161354703458893321819998351435577491134526104885300757004288 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)) (if (<=.f64 b #s(literal 7499999999999999832716740026723376196951966124509602327181343522718901967621263760893517576156035249236351261606435768420850991104 binary64)) (/.f64 #s(approx ( (* (* 4 a) c) (/ 1/2 a)) (.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))))
(if (<=.f64 b #s(literal -5199999999999999698353764330651748179343881336095363139875911071997525753856 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (- (/ 1 a) (/ c (* b b)))) (-.f64 (/.f64 c b) (/.f64 b a)))) (if (<=.f64 b #s(literal 6575919231766733/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 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)) (/.f64 #s(approx ( (* (* 4 a) c) (/ 1/2 a)) (.f64 c #s(literal 2 binary64))) #s(approx (- (neg b) (sqrt (+ ( (* c -4) a) (* b b)))) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b)))))))
(if (<=.f64 b #s(literal -2269486225665967/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (- (/ 1 a) (/ c (* b b)))) (-.f64 (/.f64 c b) (/.f64 b a)))) (if (<=.f64 b #s(literal 211368832449645/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744 binary64)) (/.f64 #s(approx (* (* (* 4 a) c) (/ 1/2 a)) (.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ ( (* c -4) a) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))))) (/.f64 #s(approx (* (* (* 4 a) c) (/ 1/2 a)) (.f64 c #s(literal 2 binary64))) #s(approx (- (neg b) (sqrt (+ ( (* c -4) a) (* b b)))) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b)))))))
(if (<=.f64 b #s(literal -5072969210312161/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (- (/ 1 a) (/ c (* b b)))) (-.f64 (/.f64 c b) (/.f64 b a)))) (if (<=.f64 b #s(literal 3194017912572413/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 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 #s(approx (* (* (* 4 a) c) (/ 1/2 a)) (.f64 c #s(literal 2 binary64))) #s(approx (- (neg b) (sqrt (+ ( (* c -4) a) (* b b)))) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b)))))))
(if (<=.f64 b #s(literal -5072969210312161/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (- (/ 1 a) (/ c (* b b)))) (-.f64 (/.f64 c b) (/.f64 b a)))) (if (<=.f64 b #s(literal 451893728665209/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 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 -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (- (/ 1 a) (/ c (* b b)))) (-.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 3056078329265937/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216 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 779999999999999961092864608800118668654957496370257911558543769600 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)) #s(approx (* (neg b) (- (/ 1 a) (/ c (* b b)))) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (- (/ 1 a) (/ c (* b b)))) (/.f64 c b)))

Outputs
(if (<=.f64 b #s(literal -105000000000000007981770057170519077063379959933245820637141014516803840651876489946301529763924666691210663642197507031744210480936829000665276612608 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 1607262910779401/21430172143725346418968500981200036211228096234110672148875007767407021022498722449863967576313917162551893458351062936503742905713846280871969155149397149607869135549648461970842149210124742283755908364306092949967163882534797535118331087892154125829142392955373084335320859663305248773674411336138752 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)) (if (<=.f64 b #s(literal 7499999999999999832716740026723376196951966124509602327181343522718901967621263760893517576156035249236351261606435768420850991104 binary64)) (/.f64 #s(approx (* (* (* 4 a) c) (/ 1/2 a)) (.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))))
(if (<=.f64 b #s(literal -105000000000000007981770057170519077063379959933245820637141014516803840651876489946301529763924666691210663642197507031744210480936829000665276612608 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 1607262910779401/21430172143725346418968500981200036211228096234110672148875007767407021022498722449863967576313917162551893458351062936503742905713846280871969155149397149607869135549648461970842149210124742283755908364306092949967163882534797535118331087892154125829142392955373084335320859663305248773674411336138752 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) b) (.f64 #s(literal 2 binary64) a)) (if (<=.f64 b #s(literal 7499999999999999832716740026723376196951966124509602327181343522718901967621263760893517576156035249236351261606435768420850991104 binary64)) (/.f64 #s(approx (* (* (* 4 a) c) (/ 1/2 a)) (.f64 #s(literal 2 binary64) c)) (-.f64 (neg.f64 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 c) b)))))
(if (<=.f64 b #s(literal -5199999999999999698353764330651748179343881336095363139875911071997525753856 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (- (/ 1 a) (/ c (* b b)))) (-.f64 (/.f64 c b) (/.f64 b a)))) (if (<=.f64 b #s(literal -5842502688302527/5617791046444737211654078721215702292556178059194708039794690036179146118921905097897139916325235500660003558745981042426837180275450519452901482207483566386805246669527046414884444362538940441232908842252656430276192208823201965046059784704400851161354703458893321819998351435577491134526104885300757004288 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)) (if (<=.f64 b #s(literal 7499999999999999832716740026723376196951966124509602327181343522718901967621263760893517576156035249236351261606435768420850991104 binary64)) (/.f64 #s(approx ( (* (* 4 a) c) (/ 1/2 a)) (.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))))
(if (<=.f64 b #s(literal -5199999999999999698353764330651748179343881336095363139875911071997525753856 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (- (/ 1 a) (/ c (* b b)))) (-.f64 (/.f64 c b) (/.f64 b a)))) (if (<=.f64 b #s(literal -5842502688302527/5617791046444737211654078721215702292556178059194708039794690036179146118921905097897139916325235500660003558745981042426837180275450519452901482207483566386805246669527046414884444362538940441232908842252656430276192208823201965046059784704400851161354703458893321819998351435577491134526104885300757004288 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)) (if (<=.f64 b #s(literal 7499999999999999832716740026723376196951966124509602327181343522718901967621263760893517576156035249236351261606435768420850991104 binary64)) (/.f64 #s(approx ( (* (* 4 a) c) (/ 1/2 a)) (.f64 #s(literal 2 binary64) c)) (-.f64 (neg.f64 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 c) b)))))
(if (<=.f64 b #s(literal -5199999999999999698353764330651748179343881336095363139875911071997525753856 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (- (/ 1 a) (/ c (* b b)))) (-.f64 (/.f64 c b) (/.f64 b a)))) (if (<=.f64 b #s(literal 6575919231766733/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 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)) (/.f64 #s(approx ( (* (* 4 a) c) (/ 1/2 a)) (.f64 c #s(literal 2 binary64))) #s(approx (- (neg b) (sqrt (+ ( (* c -4) a) (* b b)))) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b)))))))
(if (<=.f64 b #s(literal -5199999999999999698353764330651748179343881336095363139875911071997525753856 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (- (/ 1 a) (/ c (* b b)))) (-.f64 (/.f64 c b) (/.f64 b a)))) (if (<=.f64 b #s(literal 6575919231766733/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 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)) (/.f64 #s(approx ( (* (* 4 a) c) (/ 1/2 a)) (.f64 #s(literal 2 binary64) c)) #s(approx (- (neg b) (sqrt (+ ( (* c -4) a) (* b b)))) (*.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal -2269486225665967/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (- (/ 1 a) (/ c (* b b)))) (-.f64 (/.f64 c b) (/.f64 b a)))) (if (<=.f64 b #s(literal 211368832449645/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744 binary64)) (/.f64 #s(approx (* (* (* 4 a) c) (/ 1/2 a)) (.f64 c #s(literal 2 binary64))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ ( (* c -4) a) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))))) (/.f64 #s(approx (* (* (* 4 a) c) (/ 1/2 a)) (.f64 c #s(literal 2 binary64))) #s(approx (- (neg b) (sqrt (+ ( (* c -4) a) (* b b)))) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b)))))))
(if (<=.f64 b #s(literal -2269486225665967/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (- (/ 1 a) (/ c (* b b)))) (-.f64 (/.f64 c b) (/.f64 b a)))) (if (<=.f64 b #s(literal 211368832449645/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744 binary64)) (/.f64 (neg.f64 #s(approx (* (* (* 4 a) c) (/ 1/2 a)) (.f64 #s(literal 2 binary64) c))) (+.f64 (sqrt.f64 #s(approx (+ ( (* -4 c) a) (* b b)) (.f64 (.f64 c a) #s(literal -4 binary64)))) b)) (/.f64 #s(approx (* (* (* 4 a) c) (/ 1/2 a)) (.f64 #s(literal 2 binary64) c)) #s(approx (- (neg b) (sqrt (+ ( (* c -4) a) (* b b)))) (*.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal -5072969210312161/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (- (/ 1 a) (/ c (* b b)))) (-.f64 (/.f64 c b) (/.f64 b a)))) (if (<=.f64 b #s(literal 3194017912572413/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 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 #s(approx (* (* (* 4 a) c) (/ 1/2 a)) (.f64 c #s(literal 2 binary64))) #s(approx (- (neg b) (sqrt (+ ( (* c -4) a) (* b b)))) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b)))))))
(if (<=.f64 b #s(literal -5072969210312161/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (- (/ 1 a) (/ c (* b b)))) (-.f64 (/.f64 c b) (/.f64 b a)))) (if (<=.f64 b #s(literal 3194017912572413/9394170331095332911557922387157348109502730195633279482829163886128836100458433773854795993539074812127739904 binary64)) (.f64 (-.f64 (sqrt.f64 #s(approx (+ ( (* -4 c) a) (* b b)) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 #s(approx (* (* (* 4 a) c) (/ 1/2 a)) (.f64 #s(literal 2 binary64) c)) #s(approx (- (neg b) (sqrt (+ ( (* c -4) a) (* b b)))) (*.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) #s(literal 2 binary64))))))
(if (<=.f64 b #s(literal -5072969210312161/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (- (/ 1 a) (/ c (* b b)))) (-.f64 (/.f64 c b) (/.f64 b a)))) (if (<=.f64 b #s(literal 451893728665209/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 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 -5072969210312161/266998379490113760299377713271194014325338065294581596243380200977777465722580068752870260867072 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (- (/ 1 a) (/ c (* b b)))) (-.f64 (/.f64 c b) (/.f64 b a)))) (if (<=.f64 b #s(literal 451893728665209/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (.f64 (-.f64 (sqrt.f64 #s(approx (+ ( (* -4 c) a) (* b b)) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (/.f64 #s(literal 1/2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (- (/ 1 a) (/ c (* b b)))) (-.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 3056078329265937/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216 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 779999999999999961092864608800118668654957496370257911558543769600 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)) #s(approx (* (neg b) (- (/ 1 a) (/ c (* b b)))) (/.f64 c b))))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (* (neg b) (- (/ 1 a) (/ c (* b b)))) (/.f64 c b)))

soundness1.3s (12.6%)

Memory

-16.6MiB live, 946.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1422	12214
1	4768	11791
0	9499	11439
0	1337	12377
1	4510	12006
0	8755	11585
0	14	51
0	23	51
1	76	49
2	536	48
3	6892	48
0	8186	44
0	38	216
0	58	216
1	211	210
2	1611	210
0	8595	210
0	1271	15345
1	4207	14844
0	8263	14310
0	545	3273
1	1738	3232
2	6108	3204
0	8374	3047

Stop Event

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

Compiler

Compiled 1 174 to 615 computations (47.6% saved)

preprocess170.0ms (1.7%)

Memory: 4.3MiB live, 128.9MiB allocated
Compiler: Compiled 794 to 260 computations (67.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze185.0ms (1.8%)

sample2.1s (20.7%)

explain209.0ms (2.1%)

preprocess129.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify83.0ms (0.8%)

localize55.0ms (0.6%)

series43.0ms (0.4%)

simplify227.0ms (2.3%)

rewrite219.0ms (2.2%)

eval83.0ms (0.8%)

prune27.0ms (0.3%)

simplify157.0ms (1.6%)

localize195.0ms (2%)

series88.0ms (0.9%)

simplify243.0ms (2.4%)

rewrite290.0ms (2.9%)

eval568.0ms (5.7%)

prune261.0ms (2.6%)

simplify224.0ms (2.2%)

localize279.0ms (2.8%)

series90.0ms (0.9%)

simplify318.0ms (3.2%)

rewrite163.0ms (1.6%)

eval165.0ms (1.7%)

prune51.0ms (0.5%)

simplify180.0ms (1.8%)

localize296.0ms (3%)

series87.0ms (0.9%)

simplify227.0ms (2.3%)

rewrite223.0ms (2.2%)

eval166.0ms (1.7%)

prune349.0ms (3.5%)

regimes77.0ms (0.8%)

regimes35.0ms (0.4%)

regimes12.0ms (0.1%)

regimes11.0ms (0.1%)

regimes22.0ms (0.2%)

regimes9.0ms (0.1%)

regimes18.0ms (0.2%)

regimes4.0ms (0%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch34.0ms (0.3%)

bsearch61.0ms (0.6%)

bsearch36.0ms (0.4%)

bsearch28.0ms (0.3%)

bsearch14.0ms (0.1%)

bsearch37.0ms (0.4%)

bsearch33.0ms (0.3%)

bsearch28.0ms (0.3%)

bsearch32.0ms (0.3%)

simplify92.0ms (0.9%)

soundness1.3s (12.6%)

preprocess170.0ms (1.7%)

end0.0ms (0%)

Profiling