Metrics for jeff quadratic root 2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze237.0ms (1.3%)

Memory

24.0MiB live, 332.7MiB 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
25%	25%	74.9%	0.1%	0%	0%	0%	5
34.4%	34.3%	65.5%	0.1%	0%	0%	0%	6
40%	37.4%	56.2%	0.1%	0%	6.2%	0%	7
44.2%	41.3%	52.3%	0.1%	0%	6.2%	0%	8
54.3%	49.5%	41.7%	0.1%	0%	8.6%	0%	9
61%	52.9%	33.7%	0.1%	0%	13.3%	0%	10
66.9%	57.4%	28.4%	0.1%	0%	14%	0%	11
72.5%	60.6%	22.9%	0.1%	0%	16.4%	0%	12

Compiler

Compiled 40 to 22 computations (45% saved)

sample3.0s (16%)

Memory

45.5MiB live, 2 493.3MiB allocated

Samples

1.7s	8 256×	0	valid
133.0ms	893×	0	invalid

Precisions

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

ival-mult: 667.0ms (47.7% of total)

ival->=: 179.0ms (12.8% of total)

ival-sub: 155.0ms (11.1% of total)

ival-div: 141.0ms (10.1% of total)

ival-sqrt: 81.0ms (5.8% of total)

ival-add: 69.0ms (4.9% of total)

ival-neg: 43.0ms (3.1% of total)

ival-if: 39.0ms (2.8% of total)

exact: 13.0ms (0.9% of total)

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

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

Bogosity

explain328.0ms (1.7%)

Memory

-42.4MiB live, 597.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
95	-	2	(2.538045384438486e-224 -2.933092815899495e-159 1.6266610237234847e-252)	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`
60	-	0	-	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`
58	-	0	-	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`
16	-	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))`
13	-	1	(2.538045384438486e-224 -2.933092815899495e-159 1.6266610237234847e-252)	`(/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))))`
3	-	0	-	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`
0	-	0	-	`a`
0	-	0	-	`(*.f64 #s(literal 2 binary64) c)`
0	-	0	-	`(*.f64 b b)`
0	-	0	-	`(*.f64 #s(literal 2 binary64) a)`
0	-	0	-	`c`
0	-	0	-	`(*.f64 #s(literal 4 binary64) a)`
0	-	0	-	`(neg.f64 b)`
0	-	0	-	`(>=.f64 b #s(literal 0 binary64))`
0	-	0	-	`(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.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)))`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`#s(literal 0 binary64)`
0	-	0	-	`(.f64 (.f64 #s(literal 4 binary64) a) c)`
0	-	0	-	`#s(literal 2 binary64)`
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	90	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	overflow	90
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	overflow	19
↳	`(*.f64 b b)`	overflow	80
`+.f64`	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`	cancellation	60	0
`-.f64`	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`	cancellation	58	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`	u/n	16	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	underflow	3
↳	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`	underflow	32
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	underflow	43
↳	`(*.f64 b b)`	underflow	34
`/.f64`	`(/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))))`	n/u	12	0
↳	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`	underflow	23
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	underflow	3
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	underflow	43
↳	`(*.f64 b b)`	underflow	34
`-.f64`	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	nan-rescue	3	0
↳	`(*.f64 b b)`	overflow	80
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	overflow	19
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`	uflow-rescue	3	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	underflow	3
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	underflow	43
↳	`(*.f64 b b)`	underflow	34

Confusion

	Predicted +	Predicted -
+	65	0
-	120	71

Precision

0.35135135135135137

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	65	0	0
-	120	0	71

Precision?

0.35135135135135137

Recall?

1.0

Freqs

test

number	freq
0	71
1	131
2	51
3	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

44.0ms	142×	2	valid
37.0ms	160×	1	valid
26.0ms	170×	0	valid
17.0ms	40×	3	valid

Compiler

Compiled 335 to 64 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-mult: 17.0ms (19.7% of total)

ival-sub: 16.0ms (18.5% of total)

ival-div: 14.0ms (16.2% of total)

adjust: 14.0ms (16.2% of total)

ival-sqrt: 9.0ms (10.4% of total)

ival-if: 5.0ms (5.8% of total)

ival-add: 5.0ms (5.8% of total)

ival-neg: 3.0ms (3.5% of total)

ival->=: 2.0ms (2.3% of total)

ival-true: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

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

preprocess190.0ms (1%)

Memory

0.2MiB live, 123.8MiB allocated

Algorithm

1×	egg-herbie

Rules

1 344×	`lower-fma.f64`
1 344×	`lower-fma.f32`
1 310×	`div-sub`
1 140×	`sub-neg`
936×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	355
1	203	336
2	538	336
3	1315	329
4	3168	329
5	6376	329
6	7834	329
0	20	38
0	33	38
1	54	37
2	102	37
3	215	36
4	357	36
5	573	36
6	1041	36
7	2104	36
8	2894	36
9	3123	36
10	3214	36
11	3215	36
12	3215	36
13	3257	36
14	3313	36
15	3317	36
16	3317	36
0	3317	34

Stop Event

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

Calls

Call 1

Inputs

(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.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)))

Outputs

(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.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)))

(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -4 binary64)))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a)))

Compiler

Compiled 41 to 20 computations (51.2% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.7%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.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)))

Status

Accuracy

Program

▶

76.7%

(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.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)))

Compiler

Compiled 41 to 20 computations (51.2% saved)

simplify122.0ms (0.6%)

Memory

-17.8MiB live, 58.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

1 344×	`lower-fma.f64`
1 344×	`lower-fma.f32`
936×	`lower-*.f32`
926×	`lower-*.f64`
518×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	145
0	33	145
1	54	142
2	102	142
3	215	140
4	357	140
5	573	140
6	1041	140
7	2104	140
8	2894	140
9	3123	140
10	3214	140
11	3215	140
12	3215	140
13	3257	140
14	3313	140
15	3317	140
16	3317	140
0	3317	132

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize100.0ms (0.5%)

Memory

29.0MiB live, 106.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	3.4165546524937143	(/.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	13.421301178679716	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy	14.046504555983322	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy	22.051923593505617	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))

Samples

34.0ms	80×	1	valid
21.0ms	71×	2	valid
10.0ms	85×	0	valid
8.0ms	20×	3	valid

Compiler

Compiled 147 to 22 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-if: 17.0ms (32.5% of total)

ival-div: 7.0ms (13.4% of total)

ival-mult: 7.0ms (13.4% of total)

adjust: 6.0ms (11.5% of total)

ival-sub: 5.0ms (9.6% of total)

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

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

ival->=: 1.0ms (1.9% of total)

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

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

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

exact: 0.0ms (0% of total)

series52.0ms (0.3%)

Memory

-11.9MiB live, 63.2MiB allocated

Counts

7 → 228

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))) (patch (/.f64 (.f64 #s(literal 2 binary64) c) (-.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 (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 b #s(literal 0 binary64)) (patch (>=.f64 b #s(literal 0 binary64)) #<representation bool>) () ())
#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 (-.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 (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>) () ())

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

Calls

57 calls:

Time	Variable		Point	Expression
13.0ms	c	@	inf	(/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))
2.0ms	a	@	inf	(/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))
2.0ms	a	@	inf	(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
2.0ms	c	@	0	(- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
2.0ms	c	@	-inf	(/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))

simplify339.0ms (1.8%)

Memory

-2.9MiB live, 420.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 922×	`lower-fma.f64`
11 922×	`lower-fma.f32`
9 612×	`lower-*.f64`
9 612×	`lower-*.f32`
4 590×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	877	5339
1	2899	5168
0	8992	4960

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 225

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 (* (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)))))))
(* (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 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(* -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)
(* -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))))))
(* -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 (* (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)
(* (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))
(* -4 (* a c))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -4 (* a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* -4 (* a c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -1 (* (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 b)
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -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))
(* -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 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 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 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (/ 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))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))

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

rewrite336.0ms (1.8%)

Memory

11.9MiB live, 452.3MiB allocated

Rules

5 290×	`lower-fma.f64`
5 290×	`lower-fma.f32`
4 998×	`lower-*.f32`
4 988×	`lower-*.f64`
3 364×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	82
0	32	82
1	100	80
2	698	78
0	9814	72

Stop Event

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

Counts

7 → 801

Calls

Call 1

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

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

eval243.0ms (1.3%)

Memory: 7.0MiB live, 486.5MiB allocated
Compiler: Compiled 78 299 to 4 707 computations (94% saved)

prune718.0ms (3.8%)

Memory

15.5MiB live, 492.3MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	1 235	15	1 250
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 236	15	1 251

Accuracy

93.8%

Counts

1 251 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.0%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) c) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (fma.f64 b b (fma.f64 c (.f64 #s(literal 4 binary64) a) (.f64 b b)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)))
▶	76.7%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)))
	53.6%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))) (/.f64 (/.f64 (fma.f64 b b (fma.f64 c (.f64 #s(literal 4 binary64) a) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
▶	69.8%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 1 binary64)))))) (*.f64 #s(literal 2 binary64) a)))
	75.0%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)))
	55.6%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))) (/.f64 (.f64 (fma.f64 b b (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
	59.0%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))) a)))
	76.7%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))) (/.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))))
	76.6%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
▶	74.8%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b)))))))
	68.5%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) #s(approx (sqrt (- ( b b) (* (* 4 a) c))) (fma.f64 c (.f64 #s(literal -2 binary64) (fma.f64 a (.f64 a (/.f64 c (.f64 b (.f64 b b)))) (/.f64 a b))) b)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)))
	70.5%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (.f64 b (fma.f64 #s(literal 2 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal -2 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)))
	70.9%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (.f64 b #s(literal -2 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)))
▶	57.3%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) 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)))
▶	76.6%	(if (>=.f64 b #s(literal 0 binary64)) (.f64 (neg.f64 c) (/.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)))

Compiler

Compiled 1 278 to 756 computations (40.8% saved)

simplify256.0ms (1.4%)

Memory

-56.0MiB live, 137.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	128	(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 1 binary64))))))
cost-diff	128	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
cost-diff	128	(/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))))
cost-diff	1344	(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 1 binary64)))
cost-diff	0	(>=.f64 b #s(literal 0 binary64))
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))))
cost-diff	384	(/.f64 #s(literal 2 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) c))
cost-diff	128	(neg.f64 (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b)))))
cost-diff	128	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
cost-diff	128	(/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))))
cost-diff	640	(.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))))
cost-diff	0	(>=.f64 b #s(literal 0 binary64))
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))))
cost-diff	128	(.f64 (neg.f64 c) (/.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
cost-diff	0	(>=.f64 b #s(literal 0 binary64))
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))))
cost-diff	128	(-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))

Rules

3 748×	`lower-fma.f32`
3 744×	`lower-fma.f64`
3 556×	`lower-*.f32`
3 536×	`lower-*.f64`
1 092×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	63	1018
0	104	1007
1	178	966
2	362	954
3	1099	954
4	3710	908
5	6342	908
0	8079	908

Stop Event

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

Calls

Call 1

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

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

localize626.0ms (3.3%)

Memory

28.7MiB live, 613.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	13.421301178679713	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy	14.046504555983322	(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 1 binary64))))))
accuracy	22.0519235935056	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))
accuracy	22.051923593505617	(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 1 binary64)))))
accuracy	14.04650455598332	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy	14.046504555983322	(-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
accuracy	22.0519235935056	(sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))
accuracy	22.0519235935056	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))
accuracy	6.7448738885905675	(/.f64 c (*.f64 b b))
accuracy	13.421301178679713	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy	22.0519235935056	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))
accuracy	42.57581360765151	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))))))
accuracy	13.421301178679716	(+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
accuracy	14.04650455598332	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy	22.0519235935056	(sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))
accuracy	22.0519235935056	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))
accuracy	13.421301178679716	(-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))
accuracy	14.04650455598332	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy	21.784707825538135	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
accuracy	22.0519235935056	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))

Samples

198.0ms	66×	2	valid
119.0ms	80×	1	valid
78.0ms	85×	0	valid
33.0ms	25×	3	valid

Compiler

Compiled 940 to 52 computations (94.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 308.0ms

ival-add: 121.0ms (39.3% of total)

ival-neg: 71.0ms (23% of total)

ival-div: 30.0ms (9.7% of total)

adjust: 22.0ms (7.1% of total)

ival-mult: 22.0ms (7.1% of total)

ival-sqrt: 16.0ms (5.2% of total)

ival-sub: 15.0ms (4.9% of total)

ival-if: 8.0ms (2.6% of total)

ival->=: 1.0ms (0.3% of total)

exact: 1.0ms (0.3% of total)

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

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

series79.0ms (0.4%)

Memory

1.9MiB live, 127.9MiB allocated

Counts

20 → 684

Calls

Call 1

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

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

Calls

171 calls:

Time	Variable		Point	Expression
6.0ms	c	@	0	(* (* b b) (+ (* -4 (* a (/ c (* b b)))) 1))
5.0ms	c	@	-inf	(* b (- (/ 1 a) (/ c (* b b))))
2.0ms	c	@	0	(* b (- (/ 1 a) (/ c (* b b))))
1.0ms	b	@	0	(sqrt (/ 1 (+ (* c (* a -4)) (* b b))))
1.0ms	a	@	inf	(/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c))

simplify517.0ms (2.7%)

Memory

-5.9MiB live, 663.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 468×	`lower-fma.f64`
8 468×	`lower-fma.f32`
6 258×	`lower-*.f64`
6 258×	`lower-*.f32`
5 056×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1396	15835
1	4703	15344
0	8133	14719

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 675

Calls

Call 1

Inputs
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 b)
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -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))
(* -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 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -2 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 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -4 (* a c))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -4 (* a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* -4 (* a c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(* -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 (* (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)))))))
(* (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 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(* -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)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7)))))))))))
(* -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)
(* (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))
(* -1 (/ c b))
(/ (+ (* -1 c) (/ (pow b 2) a)) b)
(/ (+ (* -1 c) (/ (pow b 2) a)) b)
(/ (+ (* -1 c) (/ (pow b 2) a)) b)
(/ b a)
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))
(/ b a)
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))
(/ b a)
(/ (+ b (* -1 (/ (* a c) b))) a)
(/ (+ b (* -1 (/ (* a c) b))) a)
(/ (+ b (* -1 (/ (* a c) b))) a)
(* -1 (/ c b))
(+ (* -1 (/ c b)) (/ b a))
(+ (* -1 (/ c b)) (/ b a))
(+ (* -1 (/ c b)) (/ b a))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (/ b a))
(+ (* -1 (/ c b)) (/ b a))
(+ (* -1 (/ c b)) (/ b a))
(/ b a)
(+ (* -1 (/ c b)) (/ b a))
(+ (* -1 (/ c b)) (/ b a))
(+ (* -1 (/ c b)) (/ b a))
(* -1 (/ c b))
(* c (- (/ b (* a c)) (/ 1 b)))
(* c (- (/ b (* a c)) (/ 1 b)))
(* c (- (/ b (* a c)) (/ 1 b)))
(* -1 (/ c b))
(* -1 (* c (+ (* -1 (/ b (* a c))) (/ 1 b))))
(* -1 (* c (+ (* -1 (/ b (* a c))) (/ 1 b))))
(* -1 (* c (+ (* -1 (/ b (* a c))) (/ 1 b))))
(* -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 (* (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)))))))
(* (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 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(* -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)
(* -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))))))
(* -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 (* (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)
(* (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))
(/ c b)
(/ (- (* -1 (/ (pow b 2) a)) (* -1 c)) b)
(/ (- (* -1 (/ (pow b 2) a)) (* -1 c)) b)
(/ (- (* -1 (/ (pow b 2) a)) (* -1 c)) b)
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (/ b a))
(/ (- (/ (* a c) b) b) a)
(/ (- (/ (* a c) b) b) a)
(/ (- (/ (* a c) b) b) a)
(/ c b)
(- (* -1 (/ b a)) (* -1 (/ c b)))
(- (* -1 (/ b a)) (* -1 (/ c b)))
(- (* -1 (/ b a)) (* -1 (/ c b)))
(/ c b)
(- (* -1 (/ b a)) (* -1 (/ c b)))
(- (* -1 (/ b a)) (* -1 (/ c b)))
(- (* -1 (/ b a)) (* -1 (/ c b)))
(* -1 (/ b a))
(- (/ c b) (/ b a))
(- (/ c b) (/ b a))
(- (/ c b) (/ b a))
(/ c b)
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(/ c b)
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* -2 (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* b (+ (* -2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (* 2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(/ b a)
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))
(* b (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* 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)))))
(/ c b)
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b))
(/ b a)
(+ (* -1 (/ c b)) (/ b a))
(+ (* c (- (* -2 (* c (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b))) (/ b a))
(+ (* c (- (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 2) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))))))) (* -2 (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))))) (/ 1 b))) (/ b a))
(* -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 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))))
(* (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 (/ (- (+ (* 1/16 (/ (* (pow b 3) c) (pow a 2))) (* 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)))))))))) (+ (* -1/4 (* (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)))
(/ b a)
(/ (+ b (* -1 (/ (* a c) b))) a)
(/ (+ b (* a (+ (* -2 (* a (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))) (* -1 (/ c b))))) a)
(/ (+ b (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow c 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)))))) (* -2 (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))))))) a)
(* -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 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (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 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))) (* -2 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow a 3)))))) 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 (/ (+ (* 1/2 (* a b)) (* 2 (/ (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* -1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* 1/2 (* a b))) a))) a))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(/ 1 b)
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))
(+ (* c (+ (* -1/2 (* b (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))) (* 2 (/ a (pow b 3))))) (/ 1 b))
(+ (* c (+ (* 2 (/ a (pow b 3))) (* c (+ (* -1/2 (* b (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))) (/ 1 b))
(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))
(+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ c (pow a 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4))))))) (pow c 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ 1 b)
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))
(+ (* a (+ (* -1/2 (* a (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (* 2 (/ c (pow b 3))))) (/ 1 b))
(+ (* a (+ (* 2 (/ c (pow b 3))) (* a (+ (* -1/2 (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))) (/ 1 b))
(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))
(+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))))
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (sqrt -1/4)))) (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))))))
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/32 (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/4) 2))))) (* 1/256 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/4)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/4)))))))))
(/ 1 b)
(/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b)
(/ -1 b)
(* -1 (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* (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 b)
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -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))
(* -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 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 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 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (/ 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))))))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 (/ (* a c) b))
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 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)
(* 2 b)
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 2 (/ (* a c) b))
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))

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

rewrite431.0ms (2.3%)

Memory

8.3MiB live, 481.6MiB allocated

Rules

5 230×	`lower-*.f32`
5 212×	`lower-*.f64`
3 884×	`lower-/.f32`
3 868×	`lower-/.f64`
2 638×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	279
0	89	282
1	327	261
2	2734	261
0	8878	261

Stop Event

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

Counts

20 → 792

Calls

Call 1

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

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

eval509.0ms (2.7%)

Memory: 35.5MiB live, 857.6MiB allocated
Compiler: Compiled 158 620 to 7 462 computations (95.3% saved)

prune1.9s (10.2%)

Memory

-16.0MiB live, 2 499.4MiB allocated

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	2 965	14	2 979
Fresh	4	6	10
Picked	3	2	5
Done	0	0	0
Total	2 972	22	2 994

Accuracy

93.8%

Counts

2 994 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.0%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) c) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (fma.f64 b b (fma.f64 c (.f64 #s(literal 4 binary64) a) (.f64 b b)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)))
✓	76.7%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)))
	53.6%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))) (/.f64 (/.f64 (fma.f64 b b (fma.f64 c (.f64 #s(literal 4 binary64) a) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
	55.6%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))) (/.f64 (.f64 (fma.f64 b b (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
	59.0%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))) a)))
▶	76.7%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))) (/.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))))
	76.6%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
▶	74.8%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) b)))))))
	63.9%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 #s(approx (* b (- (/ 1 a) (/ c (* b b)))) (/.f64 (-.f64 (/.f64 (*.f64 b b) a) c) b)))))
	60.3%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal 1 binary64))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 1 binary64)))))) (*.f64 #s(literal 2 binary64) a)))
▶	56.0%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 (.f64 a c) #s(literal -4 binary64)))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b)))))))
	60.8%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b)))))))
	69.0%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (.f64 b #s(literal -2 binary64)))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b)))))))
	69.0%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 a (/.f64 c b)) b)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b)))))))
▶	33.5%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (.f64 #s(literal -2 binary64) (.f64 a (/.f64 c b))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b)))))))
✓	57.3%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) 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)))
	35.4%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 b #s(approx (sqrt (+ (* c (* a -4)) (* b b))) (fma.f64 #s(literal -2 binary64) (.f64 a (/.f64 c b)) b))) 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)))
	76.6%	(if (>=.f64 b #s(literal 0 binary64)) (.f64 (neg.f64 c) (/.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -4 binary64) c)))) b) (.f64 #s(literal 2 binary64) a)))
	74.9%	(if (>=.f64 b #s(literal 0 binary64)) (.f64 (neg.f64 c) (/.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- ( b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)))
	74.7%	(if (>=.f64 b #s(literal 0 binary64)) (.f64 c (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 #s(literal -4 binary64) c))))))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b)))))))
	36.1%	(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (/.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)))
▶	35.9%	(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)))

Compiler

Compiled 1 625 to 971 computations (40.2% saved)

simplify201.0ms (1.1%)

Memory

31.7MiB live, 266.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	128	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
cost-diff	128	(/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))))
cost-diff	640	(.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) b))))
cost-diff	704	(*.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) b))
cost-diff	0	(>=.f64 b #s(literal 0 binary64))
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))))
cost-diff	640	(.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))))
cost-diff	0	(>=.f64 b #s(literal 0 binary64))
cost-diff	128	(neg.f64 (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b)))))
cost-diff	128	(/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 (.f64 a c) #s(literal -4 binary64))))))
cost-diff	640	(.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))))
cost-diff	0	(/.f64 (.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (.f64 #s(literal -2 binary64) (.f64 a (/.f64 c b)))))
cost-diff	0	(>=.f64 b #s(literal 0 binary64))
cost-diff	128	(neg.f64 (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b)))))
cost-diff	640	(.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))))
cost-diff	0	(>=.f64 b #s(literal 0 binary64))
cost-diff	128	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
cost-diff	128	(/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))))
cost-diff	704	(/.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))))

Rules

3 280×	`lower-*.f32`
3 256×	`lower-*.f64`
3 214×	`lower-fma.f32`
3 212×	`lower-fma.f64`
1 458×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	1004
0	115	996
1	191	950
2	367	941
3	873	875
4	2119	875
5	4395	875
6	7307	875
0	8080	875

Stop Event

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

Calls

Call 1

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

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

localize382.0ms (2%)

Memory

-1.7MiB live, 599.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	5.630508808595818	(.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) b))))
accuracy	13.421301178679713	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy	22.05192359350562	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))
accuracy	42.57581360765151	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (/.f64 c b) (/.f64 #s(literal 1 binary64) b))))))
accuracy	6.744873888590561	(/.f64 c (*.f64 b b))
accuracy	14.046504555983322	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy	22.05192359350562	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))
accuracy	39.65939820489394	#s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b)))))
accuracy	13.421301178679716	(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 a c) #s(literal -4 binary64)))))
accuracy	22.051923593505617	(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 a c) #s(literal -4 binary64))))
accuracy	41.244353402196836	#s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 a c) #s(literal -4 binary64)))
accuracy	42.57581360765157	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))))))
accuracy	5.63050880859582	(.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))))
accuracy	6.744873888590561	(/.f64 c (*.f64 b b))
accuracy	42.57581360765157	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))))))
accuracy	42.623761171708246	#s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 #s(literal -2 binary64) (.f64 a (/.f64 c b))))
accuracy	13.421301178679713	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy	14.046504555983322	(-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
accuracy	22.051923593505617	(sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))
accuracy	22.05192359350562	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))

Samples

88.0ms	66×	2	valid
49.0ms	80×	1	valid
35.0ms	85×	0	valid
28.0ms	25×	3	valid

Compiler

Compiled 854 to 52 computations (93.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-div: 43.0ms (33.8% of total)

ival-mult: 27.0ms (21.2% of total)

ival-sub: 17.0ms (13.4% of total)

adjust: 15.0ms (11.8% of total)

ival-sqrt: 7.0ms (5.5% of total)

ival-if: 6.0ms (4.7% of total)

ival-add: 4.0ms (3.1% of total)

ival-neg: 4.0ms (3.1% of total)

ival->=: 2.0ms (1.6% of total)

exact: 1.0ms (0.8% of total)

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

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

series51.0ms (0.3%)

Memory

-10.1MiB live, 102.9MiB allocated

Counts

23 → 780

Calls

Call 1

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

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

Calls

195 calls:

Time	Variable		Point	Expression
0.0ms	c	@	-inf	(/ -1 (/ (* 2 a) (- b (sqrt (+ (* c (* a -4)) (* b b))))))
0.0ms	a	@	0	(/ -1 (/ (* 2 a) (- b (sqrt (+ (* c (* a -4)) (* b b))))))
0.0ms	b	@	inf	(/ -1 (/ (* 2 a) (- b (sqrt (+ (* c (* a -4)) (* b b))))))
0.0ms	b	@	0	(/ -1 (/ (* 2 a) (- b (sqrt (+ (* c (* a -4)) (* b b))))))
0.0ms	c	@	inf	(/ -1 (/ (* 2 a) (- b (sqrt (+ (* c (* a -4)) (* b b))))))

simplify352.0ms (1.9%)

Memory

19.3MiB live, 473.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 212×	`lower-fma.f64`
7 212×	`lower-fma.f32`
7 188×	`lower-*.f64`
7 188×	`lower-*.f32`
4 682×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1119	17043
1	3773	16438
0	8084	15843

Stop Event

1×	iter limit
1×	node limit

Counts

780 → 771

Calls

Call 1

Inputs
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* 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 (* (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)))))))
(* (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 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
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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))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b)
(* -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))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
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(+ (* -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 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
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(/ (+ (* -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)
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a))
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(* -4 (* a c))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -4 (* a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
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(* -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))))
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(* -1 (/ c b))
(/ (+ (* -1 c) (/ (pow b 2) a)) b)
(/ (+ (* -1 c) (/ (pow b 2) a)) b)
(/ (+ (* -1 c) (/ (pow b 2) a)) b)
(/ b a)
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))
(/ b a)
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))
(/ b a)
(/ (+ b (* -1 (/ (* a c) b))) a)
(/ (+ b (* -1 (/ (* a c) b))) a)
(/ (+ b (* -1 (/ (* a c) b))) a)
(* -1 (/ c b))
(+ (* -1 (/ c b)) (/ b a))
(+ (* -1 (/ c b)) (/ b a))
(+ (* -1 (/ c b)) (/ b a))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (/ b a))
(+ (* -1 (/ c b)) (/ b a))
(+ (* -1 (/ c b)) (/ b a))
(/ b a)
(+ (* -1 (/ c b)) (/ b a))
(+ (* -1 (/ c b)) (/ b a))
(+ (* -1 (/ c b)) (/ b a))
(* -1 (/ c b))
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(* c (- (/ b (* a c)) (/ 1 b)))
(* c (- (/ b (* a c)) (/ 1 b)))
(* -1 (/ c b))
(* -1 (* c (+ (* -1 (/ b (* a c))) (/ 1 b))))
(* -1 (* c (+ (* -1 (/ b (* a c))) (/ 1 b))))
(* -1 (* c (+ (* -1 (/ b (* a c))) (/ 1 b))))
(/ c b)
(/ (- (* -1 (/ (pow b 2) a)) (* -1 c)) b)
(/ (- (* -1 (/ (pow b 2) a)) (* -1 c)) b)
(/ (- (* -1 (/ (pow b 2) a)) (* -1 c)) b)
(* -1 (/ b a))
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(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* -1 (/ b a))
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(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (/ b a))
(/ (- (/ (* a c) b) b) a)
(/ (- (/ (* a c) b) b) a)
(/ (- (/ (* a c) b) b) a)
(/ c b)
(- (* -1 (/ b a)) (* -1 (/ c b)))
(- (* -1 (/ b a)) (* -1 (/ c b)))
(- (* -1 (/ b a)) (* -1 (/ c b)))
(/ c b)
(- (* -1 (/ b a)) (* -1 (/ c b)))
(- (* -1 (/ b a)) (* -1 (/ c b)))
(- (* -1 (/ b a)) (* -1 (/ c b)))
(* -1 (/ b a))
(- (/ c b) (/ b a))
(- (/ c b) (/ b a))
(- (/ c b) (/ b a))
(/ c b)
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(/ c b)
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (/ c b))
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(* 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 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
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(* (sqrt (/ c a)) (sqrt -1))
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(+ (* -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 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(* -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)
(* -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))))))
(* -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 (* (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)
(* (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))
(* -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 (* (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)))))))
(* (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 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(* -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)
(* -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))))))
(* -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 (* (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)
(* (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))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(* -1 (/ c b))
(/ (+ (* -1 c) (/ (pow b 2) a)) b)
(/ (+ (* -1 c) (/ (pow b 2) a)) b)
(/ (+ (* -1 c) (/ (pow b 2) a)) b)
(/ b a)
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))
(/ b a)
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))
(/ b a)
(/ (+ b (* -1 (/ (* a c) b))) a)
(/ (+ b (* -1 (/ (* a c) b))) a)
(/ (+ b (* -1 (/ (* a c) b))) a)
(* -1 (/ c b))
(+ (* -1 (/ c b)) (/ b a))
(+ (* -1 (/ c b)) (/ b a))
(+ (* -1 (/ c b)) (/ b a))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (/ b a))
(+ (* -1 (/ c b)) (/ b a))
(+ (* -1 (/ c b)) (/ b a))
(/ b a)
(+ (* -1 (/ c b)) (/ b a))
(+ (* -1 (/ c b)) (/ b a))
(+ (* -1 (/ c b)) (/ b a))
(* -1 (/ c b))
(* c (- (/ b (* a c)) (/ 1 b)))
(* c (- (/ b (* a c)) (/ 1 b)))
(* c (- (/ b (* a c)) (/ 1 b)))
(* -1 (/ c b))
(* -1 (* c (+ (* -1 (/ b (* a c))) (/ 1 b))))
(* -1 (* c (+ (* -1 (/ b (* a c))) (/ 1 b))))
(* -1 (* c (+ (* -1 (/ b (* a c))) (/ 1 b))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 (/ (* a c) b))
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 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)
(* 2 b)
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 2 (/ (* a c) b))
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 b)
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -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))
(* -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 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 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 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (/ 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 (* 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 b)
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -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))
(* -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 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 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 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (/ 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))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(* -4 (* a c))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -4 (* a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* -4 (* a c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -1 (* (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 b)
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -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))
(* -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 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 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 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* -2 (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* b (+ (* -2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (* 2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(/ b a)
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))
(* b (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* 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)))))
(/ c b)
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b))
(/ b a)
(+ (* -1 (/ c b)) (/ b a))
(+ (* c (- (* -2 (* c (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b))) (/ b a))
(+ (* c (- (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 2) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))))))) (* -2 (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))))) (/ 1 b))) (/ b a))
(* -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 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))))
(* (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 (/ (- (+ (* 1/16 (/ (* (pow b 3) c) (pow a 2))) (* 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)))))))))) (+ (* -1/4 (* (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)))
(/ b a)
(/ (+ b (* -1 (/ (* a c) b))) a)
(/ (+ b (* a (+ (* -2 (* a (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))) (* -1 (/ c b))))) a)
(/ (+ b (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow c 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)))))) (* -2 (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))))))) a)
(* -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 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (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 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))) (* -2 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow a 3)))))) 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 (/ (+ (* 1/2 (* a b)) (* 2 (/ (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* -1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* 1/2 (* a b))) a))) a))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))

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

rewrite303.0ms (1.6%)

Memory

14.0MiB live, 547.9MiB allocated

Rules

4 824×	`lower-*.f32`
4 800×	`lower-*.f64`
4 626×	`lower-/.f32`
4 608×	`lower-/.f64`
2 178×	`lower--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	69	358
0	108	353
1	351	333
2	2573	333
0	8745	333

Stop Event

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

Counts

23 → 682

Calls

Call 1

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

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

eval469.0ms (2.5%)

Memory: 2.8MiB live, 602.2MiB allocated
Compiler: Compiled 109 951 to 5 241 computations (95.2% saved)

prune616.0ms (3.3%)

Memory

-8.2MiB live, 805.8MiB allocated

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	2 349	13	2 362
Fresh	8	7	15
Picked	4	1	5
Done	0	2	2
Total	2 361	23	2 384

Accuracy

93.8%

Counts

2 384 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.7%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)))
	53.6%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))) (/.f64 (/.f64 (fma.f64 b b (fma.f64 c (.f64 #s(literal 4 binary64) a) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
	55.6%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))) (/.f64 (.f64 (fma.f64 b b (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
	59.0%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))) a)))
▶	76.7%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))) (/.f64 #s(literal -1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))))
	74.8%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))) (/.f64 #s(literal -1 binary64) (/.f64 (.f64 #s(literal 2 binary64) a) (-.f64 b #s(approx (sqrt (+ ( c (* a -4)) (* b b))) (neg.f64 b))))))
	76.6%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)))
	60.3%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal 1 binary64))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 1 binary64)))))) (*.f64 #s(literal 2 binary64) a)))
✓	56.0%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 (.f64 a c) #s(literal -4 binary64)))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b)))))))
	69.0%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (.f64 b #s(literal -2 binary64)))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b)))))))
▶	69.0%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (.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)) (neg.f64 (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b)))))))
	22.6%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (.f64 #s(literal -2 binary64) (.f64 a (/.f64 c b))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 #s(approx (* b (- (/ 1 a) (/ c (* b b)))) (/.f64 (-.f64 (/.f64 (*.f64 b b) a) c) b)))))
	26.3%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (.f64 #s(literal -2 binary64) (.f64 a (/.f64 c b))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 #s(approx (* b (- (/ 1 a) (/ c (* b b)))) (.f64 c (+.f64 (/.f64 b (.f64 c a)) (/.f64 #s(literal -1 binary64) b)))))))
✓	57.3%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) 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)))
	35.4%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 b #s(approx (sqrt (+ (* c (* a -4)) (* b b))) (fma.f64 #s(literal -2 binary64) (.f64 a (/.f64 c b)) b))) 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)))
	55.0%	(if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (.f64 b b) #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))) (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b)))))))
	56.0%	(if (>=.f64 b #s(literal 0 binary64)) (.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b)))))))
▶	36.1%	(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (/.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)))
	36.0%	(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)))
	20.3%	(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 #s(literal -4 binary64) (.f64 c a))))) (*.f64 #s(literal 2 binary64) a)))
▶	34.2%	(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)))
▶	36.0%	(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c b)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)))
	34.9%	(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (exp.f64 (.f64 (log.f64 (/.f64 (.f64 b b) c)) #s(literal -1 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)))

Compiler

Compiled 1 627 to 977 computations (40% saved)

simplify200.0ms (1.1%)

Memory

-12.9MiB live, 222.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	128	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
cost-diff	384	(/.f64 b (/.f64 c b))
cost-diff	640	(*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c b)))))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c b)))
cost-diff	0	(>=.f64 b #s(literal 0 binary64))
cost-diff	0	(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (/.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)))
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))))
cost-diff	0	(/.f64 (.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b)))))
cost-diff	0	(>=.f64 b #s(literal 0 binary64))
cost-diff	128	(neg.f64 (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b)))))
cost-diff	640	(.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))))
cost-diff	0	#s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b)))))
cost-diff	0	(>=.f64 b #s(literal 0 binary64))
cost-diff	128	(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))
cost-diff	640	(.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))))
cost-diff	0	(>=.f64 b #s(literal 0 binary64))
cost-diff	128	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
cost-diff	128	(/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))))
cost-diff	384	(/.f64 #s(literal -1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))

Rules

4 318×	`lower-fma.f32`
4 314×	`lower-fma.f64`
3 098×	`lower-*.f32`
3 082×	`lower-*.f64`
1 636×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	72	892
0	110	882
1	177	849
2	337	844
3	764	802
4	1717	802
5	4663	802
6	7289	802
0	8022	802

Stop Event

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

Calls

Call 1

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

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

localize366.0ms (1.9%)

Memory

3.5MiB live, 583.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	5.630508808595818	(*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c b)))))
accuracy	14.046504555983324	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy	22.05192359350562	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))
accuracy	39.65939820489394	#s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (*.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c b))))))
accuracy	3.4165546524937125	(/.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	14.046504555983324	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy	22.05192359350562	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))
accuracy	39.570542264063434	#s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (/.f64 b a))
accuracy	5.6305088085958195	(.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))))
accuracy	6.7448738885905675	(/.f64 c (*.f64 b b))
accuracy	39.6386455906083	#s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))
accuracy	42.57581360765151	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))))))
accuracy	6.7448738885905675	(/.f64 c (*.f64 b b))
accuracy	14.046504555983322	(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)))
accuracy	39.65939820489394	#s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b)))))
accuracy	42.94850039372097	#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))
accuracy	13.421301178679716	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy	14.046504555983322	(-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
accuracy	22.051923593505617	(sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))
accuracy	22.05192359350562	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))

Samples

75.0ms	66×	2	valid
58.0ms	80×	1	valid
31.0ms	85×	0	valid
28.0ms	25×	3	valid

Compiler

Compiled 780 to 50 computations (93.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-div: 41.0ms (34.1% of total)

adjust: 23.0ms (19.1% of total)

ival-mult: 21.0ms (17.5% of total)

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

ival-sqrt: 7.0ms (5.8% of total)

ival-if: 6.0ms (5% of total)

ival-add: 5.0ms (4.2% of total)

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

ival->=: 1.0ms (0.8% of total)

exact: 1.0ms (0.8% of total)

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

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

series54.0ms (0.3%)

Memory

24.5MiB live, 139.9MiB allocated

Counts

25 → 840

Calls

Call 1

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

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

Calls

210 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(/ b (/ c b))
0.0ms	c	@	0	(/ b (/ c b))
0.0ms	c	@	-inf	(/ b (/ c b))
0.0ms	b	@	-inf	(if (>= b 0) (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)))
0.0ms	b	@	inf	(/ b (/ c b))

simplify374.0ms (2%)

Memory

-23.7MiB live, 541.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 160×	`lower-*.f64`
7 160×	`lower-*.f32`
7 136×	`lower-fma.f64`
7 136×	`lower-fma.f32`
4 646×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1135	19382
1	3809	18679
0	8079	17989

Stop Event

1×	iter limit
1×	node limit

Counts

840 → 831

Calls

Call 1

Inputs
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* 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 (* (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)))))))
(* (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 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(* -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)
(* -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))))))
(* -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 (* (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)
(* (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))
(* -4 (* a c))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -4 (* a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* -4 (* a c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(* -1 (/ c b))
(/ (+ (* -1 c) (/ (pow b 2) a)) b)
(/ (+ (* -1 c) (/ (pow b 2) a)) b)
(/ (+ (* -1 c) (/ (pow b 2) a)) b)
(/ b a)
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))
(/ b a)
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a))))
(/ b a)
(/ (+ b (* -1 (/ (* a c) b))) a)
(/ (+ b (* -1 (/ (* a c) b))) a)
(/ (+ b (* -1 (/ (* a c) b))) a)
(* -1 (/ c b))
(+ (* -1 (/ c b)) (/ b a))
(+ (* -1 (/ c b)) (/ b a))
(+ (* -1 (/ c b)) (/ b a))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (/ b a))
(+ (* -1 (/ c b)) (/ b a))
(+ (* -1 (/ c b)) (/ b a))
(/ b a)
(+ (* -1 (/ c b)) (/ b a))
(+ (* -1 (/ c b)) (/ b a))
(+ (* -1 (/ c b)) (/ b a))
(* -1 (/ c b))
(* c (- (/ b (* a c)) (/ 1 b)))
(* c (- (/ b (* a c)) (/ 1 b)))
(* c (- (/ b (* a c)) (/ 1 b)))
(* -1 (/ c b))
(* -1 (* c (+ (* -1 (/ b (* a c))) (/ 1 b))))
(* -1 (* c (+ (* -1 (/ b (* a c))) (/ 1 b))))
(* -1 (* c (+ (* -1 (/ b (* a c))) (/ 1 b))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
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(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))
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(/ b a)
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(/ (+ b (* -1 (/ (* a c) b))) a)
(/ (+ b (* a (+ (* -2 (* a (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))) (* -1 (/ c b))))) a)
(/ (+ b (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow c 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)))))) (* -2 (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))))))) a)
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(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -2 (/ b (pow (sqrt -4) 2)))) a)
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(* (sqrt (/ c a)) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1/2 b)) a))
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(/ (- (* -1 (/ (pow b 2) a)) (* -1 c)) b)
(/ (- (* -1 (/ (pow b 2) a)) (* -1 c)) b)
(/ (- (* -1 (/ (pow b 2) a)) (* -1 c)) b)
(* -1 (/ b a))
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(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (/ b a))
(/ (- (/ (* a c) b) b) a)
(/ (- (/ (* a c) b) b) a)
(/ (- (/ (* a c) b) b) a)
(/ c b)
(- (* -1 (/ b a)) (* -1 (/ c b)))
(- (* -1 (/ b a)) (* -1 (/ c b)))
(- (* -1 (/ b a)) (* -1 (/ c b)))
(/ c b)
(- (* -1 (/ b a)) (* -1 (/ c b)))
(- (* -1 (/ b a)) (* -1 (/ c b)))
(- (* -1 (/ b a)) (* -1 (/ c b)))
(* -1 (/ b a))
(- (/ c b) (/ b a))
(- (/ c b) (/ b a))
(- (/ c b) (/ b a))
(/ c b)
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(* c (+ (* -1 (/ b (* a c))) (/ 1 b)))
(/ c b)
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
(* -1 (* c (- (/ b (* a c)) (/ 1 b))))
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(* (sqrt (/ c a)) (sqrt -1))
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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))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b)
(* -1 (/ b a))
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(* -1 (* b (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))
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(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
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(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
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(/ (+ (* -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)
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(* (sqrt (/ c a)) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a))
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(* (sqrt (* a c)) (sqrt -4))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(if (>= b 0) (* 2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* 2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* 2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* 2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* 2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* 2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* 2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* 2 (/ c (- b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* -2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (* 1/2 (/ (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)) a)))
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(/ b a)
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b
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b
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b
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b
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b
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b
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(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
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(* 2 (* (sqrt (* a c)) (sqrt -1)))
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(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
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(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
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(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 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 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(/ c (pow b 2))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* (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 b)
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -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))
(* -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 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 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 (* (sqrt (* a c)) (sqrt -4)))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* -2 (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* b (+ (* -2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (* 2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(/ b a)
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))
(* b (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* 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)))))
(/ c b)
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b))
(/ b a)
(+ (* -1 (/ c b)) (/ b a))
(+ (* c (- (* -2 (* c (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b))) (/ b a))
(+ (* c (- (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 2) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))))))) (* -2 (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))))) (/ 1 b))) (/ b a))
(* -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 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))))
(* (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 (/ (- (+ (* 1/16 (/ (* (pow b 3) c) (pow a 2))) (* 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)))))))))) (+ (* -1/4 (* (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)))
(/ b a)
(/ (+ b (* -1 (/ (* a c) b))) a)
(/ (+ b (* a (+ (* -2 (* a (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))) (* -1 (/ c b))))) a)
(/ (+ b (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow c 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)))))) (* -2 (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))))))) a)
(* -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 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (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 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))) (* -2 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow a 3)))))) 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 (/ (+ (* 1/2 (* a b)) (* 2 (/ (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* -1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* 1/2 (* a b))) a))) a))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* -2 (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* b (+ (* -2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (* 2 (* b (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(/ b a)
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))
(* b (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* 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)))))
(/ c b)
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b))
(/ b a)
(+ (* -1 (/ c b)) (/ b a))
(+ (* c (- (* -2 (* c (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b))) (/ b a))
(+ (* c (- (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 2) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))))))) (* -2 (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))))) (/ 1 b))) (/ b a))
(* -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 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))))
(* (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 (/ (- (+ (* 1/16 (/ (* (pow b 3) c) (pow a 2))) (* 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)))))))))) (+ (* -1/4 (* (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)))
(/ b a)
(/ (+ b (* -1 (/ (* a c) b))) a)
(/ (+ b (* a (+ (* -2 (* a (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))) (* -1 (/ c b))))) a)
(/ (+ b (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow c 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)))))) (* -2 (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))))))) a)
(* -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 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (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 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))) (* -2 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow a 3)))))) 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 (/ (+ (* 1/2 (* a b)) (* 2 (/ (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* -1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* 1/2 (* a b))) a))) a))

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

rewrite384.0ms (2%)

Memory

-2.9MiB live, 403.2MiB allocated

Rules

5 840×	`lower-*.f32`
5 824×	`lower-*.f64`
3 340×	`lower-/.f32`
3 318×	`lower-/.f64`
2 642×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	67	394
0	104	391
1	353	370
2	2876	370
0	8494	370

Stop Event

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

Counts

25 → 597

Calls

Call 1

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

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

eval876.0ms (4.7%)

Memory: 29.1MiB live, 457.8MiB allocated
Compiler: Compiled 90 929 to 4 625 computations (94.9% saved)

prune1.7s (9%)

Memory

-53.8MiB live, 2 207.7MiB allocated

Pruning

28 alts after pruning (22 fresh and 6 done)

	Pruned	Kept	Total
New	2 082	13	2 095
Fresh	6	9	15
Picked	2	3	5
Done	0	3	3
Total	2 090	28	2 118

Accuracy

93.8%

Counts

2 118 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.7%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)))
	53.6%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))) (/.f64 (/.f64 (fma.f64 b b (fma.f64 c (.f64 #s(literal 4 binary64) a) (.f64 b b))) (.f64 #s(literal 2 binary64) a)) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
	55.6%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))) (/.f64 (.f64 (fma.f64 b b (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
	59.0%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))) (/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))) a)))
✓	76.7%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))) (/.f64 #s(literal -1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))))
	74.8%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))) (/.f64 #s(literal -1/2 binary64) (/.f64 a (-.f64 b #s(approx (sqrt (+ (* c (* a -4)) (* b b))) (neg.f64 b))))))
	60.3%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a c) (.f64 b b)) #s(literal 1 binary64))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 1 binary64)))))) (*.f64 #s(literal 2 binary64) a)))
✓	56.0%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 (.f64 a c) #s(literal -4 binary64)))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b)))))))
	33.5%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) b))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b)))))))
	69.0%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (.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)) (neg.f64 (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (pow.f64 (/.f64 b (neg.f64 c)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 b))))))))
	22.6%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (.f64 #s(literal -2 binary64) (.f64 a (/.f64 c b))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 #s(approx (* b (- (/ 1 a) (/ c (* b b)))) (/.f64 (-.f64 (/.f64 (*.f64 b b) a) c) b)))))
	26.3%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (.f64 #s(literal -2 binary64) (.f64 a (/.f64 c b))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 #s(approx (* b (- (/ 1 a) (/ c (* b b)))) (.f64 c (+.f64 (/.f64 b (.f64 c a)) (/.f64 #s(literal -1 binary64) b)))))))
✓	57.3%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) 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)))
	35.4%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 b #s(approx (sqrt (+ (* c (* a -4)) (* b b))) (fma.f64 #s(literal -2 binary64) (.f64 a (/.f64 c b)) b))) 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)))
	55.0%	(if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (.f64 b b) #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))) (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b)))))))
	69.0%	(if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 c #s(approx (- (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 a (/.f64 c b)) b)))) #s(literal 2 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b)))))))
	56.0%	(if (>=.f64 b #s(literal 0 binary64)) (.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b)))))))
	68.9%	(if (>=.f64 b #s(literal 0 binary64)) (.f64 c (/.f64 #s(literal 2 binary64) #s(approx (- (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 a (/.f64 c b)) b))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b)))))))
	35.0%	(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (/.f64 (.f64 (-.f64 (/.f64 (.f64 b b) c) a) b) (.f64 a (/.f64 (.f64 b b) 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)))
	33.2%	(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (/.f64 (.f64 (-.f64 (.f64 b b) (.f64 a c)) b) (.f64 a (.f64 b b)))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- ( b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)))
	20.5%	(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (/.f64 b a)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 #s(literal -4 binary64) (.f64 c a))))) (*.f64 #s(literal 2 binary64) a)))
	36.0%	(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (/.f64 b a)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (*.f64 b b))) b)))
	34.3%	(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (/.f64 b a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))))
✓	34.2%	(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)))
✓	36.0%	(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c b)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)))
	35.2%	(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (exp.f64 (log.f64 (/.f64 c (.f64 b b))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)))
	69.2%	(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) #s(approx (* b (- (/ 1 a) (/ c (* b b)))) (/.f64 c (neg.f64 b)))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)))
	34.9%	(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) #s(approx (* b (- (/ 1 a) (/ c (* b b)))) (.f64 c (+.f64 (/.f64 b (.f64 c a)) (/.f64 #s(literal -1 binary64) b))))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)))

Compiler

Compiled 2 889 to 853 computations (70.5% saved)

regimes114.0ms (0.6%)

Memory

-21.9MiB live, 55.5MiB allocated

Counts

56 → 3

Calls

Call 1

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

Outputs

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

(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.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)))

(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 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)))

Calls

4 calls:

43.0ms	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.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)))
37.0ms	a
15.0ms	c
15.0ms	b

Results

Accuracy	Segments	Branch
76.7%	1	`a`
92.9%	3	`b`
78.3%	2	`c`
92.9%	5	`(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.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)))`

Compiler

Compiled 53 to 29 computations (45.3% saved)

regimes13.0ms (0.1%)

Memory

12.2MiB live, 12.1MiB allocated

Counts

38 → 3

Calls

Call 1

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

Outputs

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

(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (neg.f64 c) (/.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)))

(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 b (fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 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)))

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
92.8%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

29 → 3

Calls

Call 1

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

Outputs

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

(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (neg.f64 c) (/.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)))

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
92.8%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

26 → 3

Calls

Call 1

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

Outputs

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

(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (neg.f64 c) (/.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -4 binary64) c)))) b) (*.f64 #s(literal 2 binary64) a)))

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
92.8%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes37.0ms (0.2%)

Memory

-31.1MiB live, 9.4MiB allocated

Counts

23 → 4

Calls

Call 1

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

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

Calls

1 calls:

36.0ms

Results

Accuracy	Segments	Branch
92.8%	4	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

21 → 4

Calls

Call 1

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

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

Calls

2 calls:

6.0ms

(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.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)))

Results

Accuracy	Segments	Branch
73.8%	2	`(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.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)))`
88.7%	4	`b`

Compiler

Compiled 45 to 23 computations (48.9% saved)

regimes7.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

19 → 4

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
84.3%	4	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

18 → 4

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
84.3%	4	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes49.0ms (0.3%)

Memory

-17.3MiB live, 21.6MiB allocated

Counts

17 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

32.0ms	c
5.0ms	b
5.0ms	a
5.0ms	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.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)))

Results

Accuracy	Segments	Branch
69.2%	1	`(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.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)))`
69.2%	1	`a`
69.2%	1	`c`
74.7%	3	`b`

Compiler

Compiled 53 to 29 computations (45.3% saved)

regimes6.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
74.7%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Memory

-18.1MiB live, 20.6MiB allocated

Counts

15 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

5.0ms

(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.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)))

5.0ms

Results

Accuracy	Segments	Branch
69.2%	1	`(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.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)))`
69.2%	1	`b`

Compiler

Compiled 45 to 23 computations (48.9% saved)

regimes6.0ms (0%)

Memory

14.3MiB live, 14.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

4 calls:

1.0ms	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.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)))
1.0ms	c
1.0ms	b
1.0ms	a

Results

Accuracy	Segments	Branch
34.3%	1	`a`
34.3%	1	`b`
34.3%	1	`c`
34.3%	1	`(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.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)))`

Compiler

Compiled 53 to 29 computations (45.3% saved)

bsearch25.0ms (0.1%)

Memory

23.0MiB live, 23.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
11.0ms	4.877280081744545e+82	1.6625235069707925e+84
10.0ms	-1.496643649869222e+150	-1.651833986568858e+147

Samples

15.0ms	160×	0	valid
1.0ms	5×	0	invalid

Compiler

Compiled 759 to 411 computations (45.8% saved)

Precisions

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

ival-mult: 4.0ms (34.9% of total)

ival-div: 2.0ms (17.5% of total)

ival-add: 1.0ms (8.7% of total)

ival-if: 1.0ms (8.7% of total)

ival-sub: 1.0ms (8.7% of total)

ival-sqrt: 1.0ms (8.7% of total)

ival-neg: 1.0ms (8.7% of total)

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

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

ival->=: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch25.0ms (0.1%)

Memory

-31.4MiB live, 6.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
23.0ms	4.877280081744545e+82	1.6625235069707925e+84
1.0ms	-1.496643649869222e+150	-1.651833986568858e+147

Samples

21.0ms	32×	0	valid
0.0ms	1×	0	invalid

Compiler

Compiled 915 to 563 computations (38.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-if: 18.0ms (89% of total)

ival-mult: 1.0ms (4.9% of total)

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

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

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

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

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

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

ival->=: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
1.0ms	4.877280081744545e+82	1.6625235069707925e+84
1.0ms	-1.496643649869222e+150	-1.651833986568858e+147

Compiler

Compiled 789 to 479 computations (39.3% saved)

bsearch2.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
1.0ms	4.877280081744545e+82	1.6625235069707925e+84
1.0ms	-1.496643649869222e+150	-1.651833986568858e+147

Compiler

Compiled 765 to 455 computations (40.5% saved)

bsearch82.0ms (0.4%)

Memory

-10.2MiB live, 36.9MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
44.0ms	4.877280081744545e+82	1.6625235069707925e+84
33.0ms	-9.753446383334211e-306	2.3624369519002094e-300
0.0ms	-1.496643649869222e+150	-1.651833986568858e+147

Samples

16.0ms	160×	0	valid
9.0ms	93×	0	invalid

Compiler

Compiled 1 434 to 873 computations (39.1% saved)

Precisions

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

ival-mult: 7.0ms (39.1% of total)

ival-div: 3.0ms (16.8% of total)

ival-sub: 2.0ms (11.2% of total)

ival-sqrt: 2.0ms (11.2% of total)

ival-add: 1.0ms (5.6% of total)

ival-if: 1.0ms (5.6% of total)

ival->=: 1.0ms (5.6% of total)

ival-neg: 1.0ms (5.6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch22.0ms (0.1%)

Memory

21.3MiB live, 21.3MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
17.0ms	1.6430477465918642e-40	3.135895986876637e-38
1.0ms	-9.753446383334211e-306	2.3624369519002094e-300
1.0ms	-1.496643649869222e+150	-1.651833986568858e+147

Samples

11.0ms	112×	0	valid
2.0ms	19×	0	invalid

Compiler

Compiled 1 494 to 929 computations (37.8% saved)

Precisions

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

ival-mult: 3.0ms (31.8% of total)

ival-div: 2.0ms (21.2% of total)

ival-add: 1.0ms (10.6% of total)

ival-if: 1.0ms (10.6% of total)

ival-sub: 1.0ms (10.6% of total)

ival-sqrt: 1.0ms (10.6% of total)

ival-neg: 1.0ms (10.6% of total)

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

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

ival->=: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch55.0ms (0.3%)

Memory

-21.5MiB live, 16.6MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	1.6430477465918642e-40	3.135895986876637e-38
29.0ms	-9.753446383334211e-306	2.3624369519002094e-300
22.0ms	-1.2623258770704792e-94	-1.0330549653260613e-97

Samples

12.0ms	128×	0	valid
4.0ms	44×	0	invalid

Compiler

Compiled 1 632 to 1 040 computations (36.3% saved)

Precisions

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

ival-mult: 5.0ms (42.1% of total)

ival-div: 2.0ms (16.8% of total)

ival-sub: 2.0ms (16.8% of total)

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

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

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

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

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

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

ival->=: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
1.0ms	1.6430477465918642e-40	3.135895986876637e-38
1.0ms	-9.753446383334211e-306	2.3624369519002094e-300
1.0ms	-1.2623258770704792e-94	-1.0330549653260613e-97

Compiler

Compiled 1 632 to 1 040 computations (36.3% saved)

bsearch41.0ms (0.2%)

Memory

16.6MiB live, 16.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
35.0ms	1.944045792733516e-205	1.0853929642666921e-182
1.0ms	-1.2623258770704792e-94	-1.0330549653260613e-97

Samples

17.0ms	176×	0	valid
10.0ms	97×	0	invalid

Compiler

Compiled 938 to 572 computations (39% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 7.0ms (36.7% of total)

ival-div: 3.0ms (15.7% of total)

ival-sub: 2.0ms (10.5% of total)

ival-sqrt: 2.0ms (10.5% of total)

ival-add: 1.0ms (5.2% of total)

ival-if: 1.0ms (5.2% of total)

ival->=: 1.0ms (5.2% of total)

ival-neg: 1.0ms (5.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-9.753446383334211e-306	2.3624369519002094e-300
1.0ms	-1.2623258770704792e-94	-1.0330549653260613e-97

Compiler

Compiled 1 032 to 632 computations (38.8% saved)

simplify78.0ms (0.4%)

Memory

-7.3MiB live, 30.9MiB allocated

Algorithm

1×	egg-herbie

Rules

540×	`distribute-lft-neg-in_binary64`
404×	`neg-mul-1_binary64`
300×	`neg-sub0_binary64`
292×	`cancel-sign-sub_binary64`
252×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	157	1902
1	216	1887
2	285	1887
3	361	1880
4	443	1880
5	561	1880
6	851	1880
7	1177	1880
8	1364	1880
9	1535	1880
10	1666	1880
11	1790	1880
12	1882	1880
13	1930	1880
14	1945	1880
15	1949	1880

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -1999999999999999955992764811315320348729647778935602161544506489938527878458214984853852098846521027939536536831074154937676864613462292790727671808 binary64)) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (/.f64 b a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))) (if (<=.f64 b #s(literal 1499999999999999978810128178571285874987840342565573511098485104689778576610945925120 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.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))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (.f64 b (fma.f64 #s(literal 2 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal -2 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 -1999999999999999955992764811315320348729647778935602161544506489938527878458214984853852098846521027939536536831074154937676864613462292790727671808 binary64)) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (/.f64 b a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))) (if (<=.f64 b #s(literal 1499999999999999978810128178571285874987840342565573511098485104689778576610945925120 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (.f64 (neg.f64 c) (/.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 b (fma.f64 #s(literal 2 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal -2 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)))))
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(if (<=.f64 b #s(literal -2348542582773833/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (/.f64 b a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))) (if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 #s(literal -4 binary64) (.f64 c a))))) (.f64 #s(literal 2 binary64) a))) (if (<=.f64 b #s(literal 7601177882694809/24519928653854221733733552434404946937899825954937634816 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 a c) #s(literal -4 binary64)))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))))))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 a (/.f64 c b)) b)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))))))))))
(if (<=.f64 b #s(literal -2348542582773833/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (/.f64 b a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))) (if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 #s(literal -4 binary64) (.f64 c a))))) (.f64 #s(literal 2 binary64) a))) (if (<=.f64 b #s(literal 7601177882694809/24519928653854221733733552434404946937899825954937634816 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))))))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (.f64 #s(literal 2 binary64) (-.f64 (.f64 a (/.f64 c b)) b)))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))))))))))
(if (<=.f64 b #s(literal -2348542582773833/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (/.f64 b a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))) (if (<=.f64 b #s(literal 480082372980397/1412006979354108748474554421102313931675676955925788762341700965431346915180599249952936960497614998485448932749141998289061648432939195473813276544243473053215398045741358060286316036246351763861878679739417265182867456 binary64)) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (/.f64 b a)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 #s(literal -4 binary64) (.f64 c a))))) (.f64 #s(literal 2 binary64) a))) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ ( c (* a -4)) (* b b)))) c)) #s(approx (* b (- (/ 1 a) (/ c (* b b)))) (/.f64 c (neg.f64 b)))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)))))
(if (<=.f64 b #s(literal -2348542582773833/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (/.f64 b a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))) (if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 #s(literal -4 binary64) (.f64 c a))))) (.f64 #s(literal 2 binary64) a))) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ ( c (* a -4)) (* b b)))) c)) #s(approx (* b (- (/ 1 a) (/ c (* b b)))) (/.f64 c (neg.f64 b)))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)))))
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) #s(approx (* b (- (/ 1 a) (/ c (* b b)))) (/.f64 c (neg.f64 b)))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)))
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (/.f64 b a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))))

Outputs
(if (<=.f64 b #s(literal -1999999999999999955992764811315320348729647778935602161544506489938527878458214984853852098846521027939536536831074154937676864613462292790727671808 binary64)) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (/.f64 b a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))) (if (<=.f64 b #s(literal 1499999999999999978810128178571285874987840342565573511098485104689778576610945925120 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.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))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (.f64 b (fma.f64 #s(literal 2 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal -2 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)))))
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(if (<=.f64 b #s(literal -2348542582773833/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (/.f64 b a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))) (if (<=.f64 b #s(literal 480082372980397/1412006979354108748474554421102313931675676955925788762341700965431346915180599249952936960497614998485448932749141998289061648432939195473813276544243473053215398045741358060286316036246351763861878679739417265182867456 binary64)) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (/.f64 b a)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 #s(literal -4 binary64) (.f64 c a))))) (.f64 #s(literal 2 binary64) a))) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ ( c (* a -4)) (* b b)))) c)) #s(approx (* b (- (/ 1 a) (/ c (* b b)))) (/.f64 c (neg.f64 b)))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)))))
(if (<=.f64 b #s(literal -2348542582773833/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (/.f64 b a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))) (if (<=.f64 b #s(literal 480082372980397/1412006979354108748474554421102313931675676955925788762341700965431346915180599249952936960497614998485448932749141998289061648432939195473813276544243473053215398045741358060286316036246351763861878679739417265182867456 binary64)) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (/.f64 b a)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 #s(literal -4 binary64) (.f64 c a)))) b) (.f64 #s(literal 2 binary64) a))) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ ( c (* a -4)) (* b b)))) c)) #s(approx (* b (- (/ 1 a) (/ c (* b b)))) (/.f64 c (neg.f64 b)))) (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) b) (*.f64 #s(literal 2 binary64) a)))))
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(if (<=.f64 b #s(literal -2348542582773833/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (/.f64 b a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))) (if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))))) (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 #s(literal -4 binary64) (.f64 c a)))) b) (.f64 #s(literal 2 binary64) a))) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ ( c (* a -4)) (* b b)))) c)) #s(approx (* b (- (/ 1 a) (/ c (* b b)))) (/.f64 c (neg.f64 b)))) (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) b) (*.f64 #s(literal 2 binary64) a)))))
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) #s(approx (* b (- (/ 1 a) (/ c (* b b)))) (/.f64 c (neg.f64 b)))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)))
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) #s(approx (* b (- (/ 1 a) (/ c (* b b)))) (/.f64 c (neg.f64 b)))) (/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) b) (*.f64 #s(literal 2 binary64) a)))
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 2 (/ (- b (sqrt (+ (* c (* a -4)) (* b b)))) c)) (/.f64 b a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))))

soundness1.8s (9.4%)

Memory

14.5MiB live, 915.9MiB allocated

Rules

11 922×	`lower-fma.f64`
11 922×	`lower-fma.f32`
9 612×	`lower-*.f64`
9 612×	`lower-*.f32`
8 468×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	877	5339
1	2899	5168
0	8992	4960
0	1135	19382
1	3809	18679
0	8079	17989
0	19	82
0	32	82
1	100	80
2	698	78
0	9814	72
0	1396	15835
1	4703	15344
0	8133	14719
0	69	358
0	108	353
1	351	333
2	2573	333
0	8745	333
0	54	279
0	89	282
1	327	261
2	2734	261
0	8878	261
0	1119	17043
1	3773	16438
0	8084	15843

Stop Event

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

Compiler

Compiled 3 040 to 1 352 computations (55.5% saved)

preprocess68.0ms (0.4%)

Memory: 12.2MiB live, 130.2MiB allocated
Compiler: Compiled 1 992 to 282 computations (85.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze237.0ms (1.3%)

sample3.0s (16%)

explain328.0ms (1.7%)

preprocess190.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify122.0ms (0.6%)

localize100.0ms (0.5%)

series52.0ms (0.3%)

simplify339.0ms (1.8%)

rewrite336.0ms (1.8%)

eval243.0ms (1.3%)

prune718.0ms (3.8%)

simplify256.0ms (1.4%)

localize626.0ms (3.3%)

series79.0ms (0.4%)

simplify517.0ms (2.7%)

rewrite431.0ms (2.3%)

eval509.0ms (2.7%)

prune1.9s (10.2%)

simplify201.0ms (1.1%)

localize382.0ms (2%)

series51.0ms (0.3%)

simplify352.0ms (1.9%)

rewrite303.0ms (1.6%)

eval469.0ms (2.5%)

prune616.0ms (3.3%)

simplify200.0ms (1.1%)

localize366.0ms (1.9%)

series54.0ms (0.3%)

simplify374.0ms (2%)

rewrite384.0ms (2%)

eval876.0ms (4.7%)

prune1.7s (9%)

regimes114.0ms (0.6%)

regimes13.0ms (0.1%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes37.0ms (0.2%)

regimes14.0ms (0.1%)

regimes7.0ms (0%)

regimes7.0ms (0%)

regimes49.0ms (0.3%)

regimes6.0ms (0%)

regimes14.0ms (0.1%)

regimes6.0ms (0%)

bsearch25.0ms (0.1%)

bsearch25.0ms (0.1%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch82.0ms (0.4%)

bsearch22.0ms (0.1%)

bsearch55.0ms (0.3%)

bsearch3.0ms (0%)

bsearch41.0ms (0.2%)

bsearch2.0ms (0%)

simplify78.0ms (0.4%)

soundness1.8s (9.4%)

preprocess68.0ms (0.4%)

end0.0ms (0%)

Profiling