Metrics for Quadratic roots, full range

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze134.0ms (1.4%)

Memory

20.6MiB live, 338.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 19 to 16 computations (15.8% saved)

sample1.6s (16.6%)

Memory

30.8MiB live, 3 679.3MiB allocated

Samples

502.0ms	5 544×	0	valid
249.0ms	1 209×	2	valid
220.0ms	1 307×	1	valid
77.0ms	878×	0	invalid
72.0ms	196×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 770.0ms

ival-mult: 256.0ms (33.2% of total)

ival-sqrt: 111.0ms (14.4% of total)

ival-div: 110.0ms (14.3% of total)

adjust: 80.0ms (10.4% of total)

ival-sub: 71.0ms (9.2% of total)

ival-add: 70.0ms (9.1% of total)

ival-neg: 53.0ms (6.9% of total)

exact: 10.0ms (1.3% of total)

ival-true: 7.0ms (0.9% of total)

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

Bogosity

explain270.0ms (2.8%)

Memory

-10.9MiB live, 757.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
114	0	-	0	-	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`
57	0	-	0	-	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`
12	1	(2.1285055600202677e-289 4.9622172367071855e+147 2.4788289980239522e-176)	1	(-3.1883403597889064e-227 2.119414713153239e-79 -8.744462645983818e-170)	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
2	0	-	0	-	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`
0	0	-	0	-	`a`
0	0	-	0	-	`#s(literal 4 binary64)`
0	0	-	0	-	`(.f64 (.f64 #s(literal 4 binary64) a) c)`
0	0	-	0	-	`(*.f64 b b)`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) a)`
0	0	-	0	-	`c`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(neg.f64 b)`
0	0	-	0	-	`(*.f64 #s(literal 4 binary64) a)`
0	0	-	0	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`	oflow-rescue	107	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	overflow	107
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	overflow	26
↳	`(*.f64 b b)`	overflow	86
`+.f64`	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`	cancellation	57	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	12	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	underflow	7
↳	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`	underflow	35
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	underflow	48
↳	`(*.f64 b b)`	underflow	40
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`	uflow-rescue	7	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	underflow	7
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	underflow	48
↳	`(*.f64 b b)`	underflow	40
`-.f64`	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	nan-rescue	2	0
↳	`(*.f64 b b)`	overflow	86
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	overflow	26

Confusion

	Predicted +	Predicted -
+	136	0
-	19	101

Precision

0.8774193548387097

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	136	0	0
-	19	0	101

Precision?

0.8774193548387097

Recall?

1.0

Freqs

test

number	freq
0	101
1	126
2	28
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

96.0ms	330×	0	valid
34.0ms	100×	2	valid
11.0ms	58×	1	valid
9.0ms	24×	3	valid

Compiler

Compiled 164 to 46 computations (72% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 21.0ms (36.1% of total)

ival-sqrt: 8.0ms (13.7% of total)

ival-div: 7.0ms (12% of total)

ival-sub: 6.0ms (10.3% of total)

adjust: 6.0ms (10.3% of total)

ival-add: 5.0ms (8.6% of total)

ival-neg: 3.0ms (5.2% of total)

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

exact: 1.0ms (1.7% of total)

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

preprocess146.0ms (1.5%)

Memory

-29.4MiB live, 182.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 20 to 14 computations (30% saved)

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.9%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Compiler

Compiled 20 to 14 computations (30% saved)

simplify93.0ms (1%)

Memory

5.6MiB live, 124.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize62.0ms (0.7%)

Memory

12.4MiB live, 212.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.40234375000000006	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
accuracy	2.5467649181287633	(/.f64 (+.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	13.050475746002146	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy	26.553727365632042	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))

Samples

19.0ms	165×	0	valid
13.0ms	50×	2	valid
6.0ms	29×	1	valid
4.0ms	12×	3	valid

Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 7.0ms (27.6% of total)

ival-div: 4.0ms (15.8% of total)

ival-sqrt: 4.0ms (15.8% of total)

adjust: 3.0ms (11.8% of total)

ival-add: 3.0ms (11.8% of total)

ival-sub: 2.0ms (7.9% of total)

ival-neg: 2.0ms (7.9% of total)

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

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

exact: 0.0ms (0% of total)

series29.0ms (0.3%)

Memory

-23.8MiB live, 93.9MiB allocated

Counts

5 → 156

Calls

Call 1

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

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

Calls

39 calls:

Time	Variable		Point	Expression
3.0ms	b	@	inf	(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
2.0ms	a	@	inf	(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
1.0ms	b	@	inf	(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
1.0ms	c	@	inf	(sqrt (- (* b b) (* (* 4 a) c)))
1.0ms	a	@	inf	(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))

simplify263.0ms (2.8%)

Memory

34.1MiB live, 701.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 153

Calls

Call 1

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

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

rewrite264.0ms (2.8%)

Memory

-8.1MiB live, 718.8MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 440

Calls

Call 1

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

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

eval84.0ms (0.9%)

Memory: 3.6MiB live, 315.7MiB allocated
Compiler: Compiled 22 484 to 2 093 computations (90.7% saved)

prune107.0ms (1.1%)

Memory

-9.5MiB live, 369.4MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

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

Accuracy

90.3%

Counts

594 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.0%	(/.f64 (fma.f64 b b (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))
	42.3%	(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
▶	28.9%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
▶	31.8%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
	31.1%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))) (*.f64 #s(literal 2 binary64) a))
▶	29.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) a)))
	29.2%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))
	29.2%	(/.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))
	17.1%	(.f64 (fma.f64 b b (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))))))
▶	49.8%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
	32.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a))))
	37.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
▶	34.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
	33.5%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)))

Compiler

Compiled 522 to 318 computations (39.1% saved)

simplify409.0ms (4.3%)

Memory

7.9MiB live, 287.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

2 848×	`lower-fma.f32`
2 846×	`lower-fma.f64`
1 608×	`lower-*.f32`
1 596×	`lower-*.f64`
1 262×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	339
0	67	337
1	114	323
2	200	323
3	382	323
4	680	323
5	1249	323
6	2289	323
7	3968	323
8	4786	323
9	5080	323
10	5116	323
11	5127	323
12	5129	323
13	5495	323
14	5653	323
15	5683	323
16	5683	323
17	5683	323
18	5781	323
19	6424	323
20	6941	323
21	7325	323
22	7339	323
23	7351	323
24	7351	323
25	7351	323
26	7363	323
0	7363	323

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize168.0ms (1.8%)

Memory

-29.6MiB live, 566.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.42222869004773517	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) a)))
accuracy	4.357353580434053	(/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) a)
accuracy	11.770803794076423	(+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
accuracy	26.553727365632046	(sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))
accuracy	2.5467649181287633	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
accuracy	13.050475746002146	(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))))
accuracy	26.553727365632042	(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))
accuracy	41.44852647005804	#s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))
accuracy	2.5467649181287633	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
accuracy	13.050475746002146	(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))
accuracy	18.61377137157587	#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))
accuracy	26.553727365632042	(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))
accuracy	0	(/.f64 b (neg.f64 a))
accuracy	0	(neg.f64 a)
accuracy	42.14835305900638	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
accuracy	0.00390625	(fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))
accuracy	2.6600461681287633	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
accuracy	13.050475746002146	(-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
accuracy	26.553727365632046	(sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))

Samples

51.0ms	85×	2	valid
26.0ms	66×	1	valid
20.0ms	85×	0	valid
17.0ms	20×	3	valid

Compiler

Compiled 306 to 34 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-div: 18.0ms (24.3% of total)

ival-mult: 18.0ms (24.3% of total)

adjust: 13.0ms (17.6% of total)

ival-sqrt: 9.0ms (12.2% of total)

ival-add: 8.0ms (10.8% of total)

ival-sub: 5.0ms (6.8% of total)

ival-neg: 2.0ms (2.7% of total)

exact: 1.0ms (1.4% of total)

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

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

series67.0ms (0.7%)

Memory

7.6MiB live, 206.1MiB allocated

Counts

21 → 672

Calls

Call 1

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

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

Calls

168 calls:

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

simplify323.0ms (3.4%)

Memory

14.5MiB live, 855.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 316×	`lower-fma.f64`
7 316×	`lower-fma.f32`
7 004×	`lower-*.f64`
7 004×	`lower-*.f32`
5 640×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1143	14686
1	3757	14383
0	8203	13739

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 663

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

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

rewrite523.0ms (5.5%)

Memory

-5.6MiB live, 793.9MiB allocated

Rules

4 884×	`lower-/.f32`
4 870×	`lower-/.f64`
4 706×	`lower-fma.f32`
4 704×	`lower-fma.f64`
4 066×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	270
0	67	269
1	238	254
2	1802	254
0	8306	254

Stop Event

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

Counts

21 → 972

Calls

Call 1

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

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 c #s(literal -4 binary64)) (.f64 b b))))))
(+.f64 (.f64 b (/.f64 #s(literal -1/2 binary64) a)) (.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.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 c #s(literal -4 binary64)) (.f64 b b))) b))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 a #s(literal 2 binary64))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 a #s(literal -2 binary64))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) b) (.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 b (.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 b (.f64 b b)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))))) (.f64 a #s(literal -2 binary64))) (/.f64 (/.f64 (.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))))) (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))))) (.f64 a #s(literal -2 binary64))) (/.f64 (/.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))))) (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))))) (.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) #s(literal 0 binary64)) (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 b b) (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))))) (/.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b)))))))
(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 c #s(literal -4 binary64)) (*.f64 b b))))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (fma.f64 (.f64 a (.f64 #s(literal 4 binary64) c)) (fma.f64 a (.f64 #s(literal 4 binary64) c) (.f64 b b)) (.f64 b (.f64 b (.f64 b b))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 #s(literal -64 binary64) (.f64 a (.f64 a a)))) (fma.f64 (.f64 a (.f64 #s(literal 4 binary64) c)) (fma.f64 a (.f64 #s(literal 4 binary64) c) (.f64 b b)) (.f64 b (.f64 b (.f64 b b))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (fma.f64 (.f64 a (.f64 #s(literal 4 binary64) c)) (fma.f64 a (.f64 #s(literal 4 binary64) c) (.f64 b b)) (.f64 b (.f64 b (.f64 b b))))) (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (fma.f64 (.f64 a (.f64 #s(literal 4 binary64) c)) (fma.f64 a (.f64 #s(literal 4 binary64) c) (.f64 b b)) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 #s(literal -64 binary64) (.f64 a (.f64 a a)))) (fma.f64 (.f64 a (.f64 #s(literal 4 binary64) c)) (fma.f64 a (.f64 #s(literal 4 binary64) c) (.f64 b b)) (.f64 b (.f64 b (.f64 b b))))) (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 #s(literal -64 binary64) (.f64 a (.f64 a a)))) (fma.f64 (.f64 a (.f64 #s(literal 4 binary64) c)) (fma.f64 a (.f64 #s(literal 4 binary64) c) (.f64 b b)) (.f64 b (.f64 b (.f64 b b))))) (.f64 (/.f64 (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))) (fma.f64 (.f64 a (.f64 #s(literal 4 binary64) c)) (fma.f64 a (.f64 #s(literal 4 binary64) c) (.f64 b b)) (.f64 b (.f64 b (.f64 b b))))) (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 #s(literal -64 binary64) (.f64 a (.f64 a a)))) (fma.f64 (.f64 a (.f64 #s(literal 4 binary64) c)) (fma.f64 a (.f64 #s(literal 4 binary64) c) (.f64 b b)) (.f64 b (.f64 b (*.f64 b b)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a (.f64 #s(literal 4 binary64) c) (.f64 b b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (fma.f64 a (.f64 #s(literal 4 binary64) c) (.f64 b b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a (.f64 #s(literal 4 binary64) c) (.f64 b b))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a (.f64 #s(literal 4 binary64) c) (.f64 b b))) (fma.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (fma.f64 a (.f64 #s(literal 4 binary64) c) (.f64 b b))) (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (fma.f64 a (.f64 #s(literal 4 binary64) c) (.f64 b b))) (.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a (.f64 #s(literal 4 binary64) c) (.f64 b b))) (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (fma.f64 a (.f64 #s(literal 4 binary64) c) (*.f64 b b)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (fma.f64 a (.f64 c #s(literal -4 binary64)) (neg.f64 (.f64 b b)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a (.f64 c #s(literal -4 binary64)) (neg.f64 (.f64 b b)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (fma.f64 a (.f64 c #s(literal -4 binary64)) (neg.f64 (.f64 b b)))) (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (fma.f64 a (.f64 c #s(literal -4 binary64)) (neg.f64 (.f64 b b)))) (fma.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a (.f64 c #s(literal -4 binary64)) (neg.f64 (.f64 b b)))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a (.f64 c #s(literal -4 binary64)) (neg.f64 (.f64 b b)))) (.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (fma.f64 a (.f64 c #s(literal -4 binary64)) (neg.f64 (.f64 b b)))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (fma.f64 a (.f64 c #s(literal -4 binary64)) (neg.f64 (*.f64 b b))))))))
(pow.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) #s(literal 2 binary64))
(pow.f64 (.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)) (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) #s(literal -1 binary64))
(.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b))))
(.f64 #s(literal 1 binary64) (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b)))
(.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 #s(literal -64 binary64) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a (.f64 #s(literal 4 binary64) c)) (fma.f64 a (.f64 #s(literal 4 binary64) c) (.f64 b b)) (.f64 b (.f64 b (.f64 b b))))))
(.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 #s(literal -64 binary64) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (*.f64 a c))))))
(.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 #s(literal -64 binary64) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (.f64 b b)) (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 (.f64 a #s(literal -4 binary64)) (.f64 c (*.f64 b b)))))))
(.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (neg.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(.f64 (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 c #s(literal -4 binary64)) (neg.f64 (.f64 b b)))))
(.f64 (.f64 (fma.f64 a (.f64 #s(literal 4 binary64) c) (.f64 b b)) (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal 4 binary64) c) (.f64 b b))))
(.f64 (.f64 (fma.f64 a (.f64 #s(literal 4 binary64) c) (.f64 b b)) (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 #s(literal -64 binary64) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 a (.f64 #s(literal 4 binary64) c)) (fma.f64 a (.f64 #s(literal 4 binary64) c) (.f64 b b)) (.f64 b (.f64 b (.f64 b b)))))))
(.f64 (neg.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 #s(literal -64 binary64) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (*.f64 a c)))))))
(.f64 (neg.f64 (.f64 (fma.f64 a (.f64 #s(literal 4 binary64) c) (.f64 b b)) (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (.f64 #s(literal 4 binary64) c) (.f64 b b)))))
(.f64 (neg.f64 (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (neg.f64 (.f64 b b))))))
(.f64 (pow.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 #s(literal -64 binary64) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (*.f64 a c))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 c (.f64 c c)) (.f64 #s(literal -64 binary64) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a (.f64 #s(literal 4 binary64) c)) (fma.f64 a (.f64 #s(literal 4 binary64) c) (.f64 b b)) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 c #s(literal -4 binary64)) (neg.f64 (.f64 b b)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 a (.f64 #s(literal 4 binary64) c) (.f64 b b)) (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal 4 binary64) c) (.f64 b b))) #s(literal 1 binary64)))
(exp.f64 (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))
(exp.f64 (.f64 (log.f64 #s(approx (- ( b b) (* (* 4 a) c)) (*.f64 b b))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 b b)) #s(approx (- ( b b) (* (* 4 a) c)) (*.f64 b b)))) #s(literal 1/2 binary64)))
(fabs.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))
(sqrt.f64 (.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 b b)) #s(approx (- ( b b) (* (* 4 a) c)) (*.f64 b b))))
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))
(pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) #s(literal 2 binary64))
(pow.f64 (.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 b b)) #s(approx (- ( b b) (* (* 4 a) c)) (*.f64 b b))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 b b))) (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (*.f64 b b))))
(exp.f64 (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))))
(exp.f64 (.f64 (log.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.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)))))) #s(literal 1/2 binary64)))
(fabs.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))
(sqrt.f64 (.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))))))
#s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))
(pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64))
(pow.f64 (.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))))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))))

eval463.0ms (4.9%)

Memory: 38.8MiB live, 776.1MiB allocated
Compiler: Compiled 56 354 to 4 941 computations (91.2% saved)

prune293.0ms (3.1%)

Memory

-8.3MiB live, 1 120.3MiB allocated

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	1 833	21	1 854
Fresh	7	2	9
Picked	3	2	5
Done	0	0	0
Total	1 843	25	1 868

Accuracy

90.3%

Counts

1 868 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.4%	(/.f64 (/.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 #s(literal 2 binary64) a))
	25.9%	(/.f64 (-.f64 (.f64 b b) #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))))))
	31.8%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64)))
	31.9%	(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) b)) (*.f64 #s(literal 2 binary64) a))
▶	31.8%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b)))
	31.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b) a)))
	2.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 #s(approx (+ b (sqrt (+ (* c (* a -4)) (* b b)))) (*.f64 b #s(literal 2 binary64))) a)))
	29.2%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b))))) a))
	16.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (/ (+ b (sqrt (+ (* c (* a -4)) (* b b)))) a)) (/.f64 b c)))
	2.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (/ (+ b (sqrt (+ (* c (* a -4)) (* b b)))) a)) (/.f64 a b)))
	31.7%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b))
✓	49.8%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
	25.9%	(.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 (.f64 a #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))))))
	32.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a))))
	22.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) a) (.f64 a b)) (*.f64 a a)))
	34.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b))
▶	37.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
▶	18.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) a)))))
✓	34.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
▶	34.0%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))
	34.0%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
	18.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 a) b)) #s(literal -1 binary64))))
	2.0%	#s(approx (/ 1 (/ 2 (/ (+ b (sqrt (+ (* c (* a -4)) (* b b)))) a))) (/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a))
	16.0%	#s(approx (/ 1 (/ 2 (/ (+ b (sqrt (+ (* c (* a -4)) (* b b)))) a))) (/.f64 c b))
▶	2.3%	#s(approx (/ 1 (/ 2 (/ (+ b (sqrt (+ (* c (* a -4)) (* b b)))) a))) (/.f64 b a))

Compiler

Compiled 726 to 455 computations (37.3% saved)

simplify201.0ms (2.1%)

Memory

-40.8MiB live, 489.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b)
cost-diff	0	(*.f64 a #s(literal 2 binary64))
cost-diff	0	(/.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b)))
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) a)))))
cost-diff	64	(-.f64 #s(literal 0 binary64) (*.f64 a a))
cost-diff	192	(+.f64 #s(literal 0 binary64) a)
cost-diff	1344	(.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) a)))
cost-diff	0	(neg.f64 a)
cost-diff	0	(/.f64 (neg.f64 a) b)
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b))
cost-diff	0	(/.f64 b a)
cost-diff	0	#s(approx (/ 1 (/ 2 (/ (+ b (sqrt (+ (* c (* a -4)) (* b b)))) a))) (/.f64 b a))
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 c (neg.f64 b))
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))

Rules

6 884×	`lower-fma.f64`
6 884×	`lower-fma.f32`
3 980×	`lower-*.f32`
3 970×	`lower-*.f64`
2 182×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	283
0	68	253
1	126	244
2	288	240
3	665	240
4	1418	240
5	3530	240
6	4880	240
7	7572	240
0	8569	231

Stop Event

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

Calls

Call 1

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

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

localize159.0ms (1.7%)

Memory

24.1MiB live, 382.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	2.2785200636512166	(/.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b))
accuracy	13.050475746002146	(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b)
accuracy	26.553727365632042	(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))
accuracy	41.44852647005804	#s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))
accuracy	0	(+.f64 #s(literal 0 binary64) a)
accuracy	0	(*.f64 a a)
accuracy	28.645866737918837	(.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) a)))
accuracy	42.14835305900638	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) a)))))
accuracy	0	(/.f64 (neg.f64 a) b)
accuracy	0	(neg.f64 a)
accuracy	0.7167108575937958	(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b))
accuracy	42.14835305900638	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))
accuracy	0	(/.f64 b a)
accuracy	39.687708369103284	#s(approx (/ 1 (/ 2 (/ (+ b (sqrt (+ (* c (* a -4)) (* b b)))) a))) (/.f64 b a))
accuracy	0	(/.f64 c (neg.f64 b))
accuracy	0	(neg.f64 b)
accuracy	39.835522297774176	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))

Samples

45.0ms	78×	2	valid
30.0ms	66×	1	valid
24.0ms	86×	0	valid
19.0ms	26×	3	valid

Compiler

Compiled 225 to 44 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-div: 25.0ms (30% of total)

ival-mult: 18.0ms (21.6% of total)

adjust: 15.0ms (18% of total)

ival-sub: 8.0ms (9.6% of total)

ival-add: 8.0ms (9.6% of total)

ival-sqrt: 6.0ms (7.2% of total)

ival-neg: 3.0ms (3.6% of total)

exact: 1.0ms (1.2% of total)

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

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

series43.0ms (0.5%)

Memory

-11.8MiB live, 107.6MiB allocated

Counts

20 → 504

Calls

Call 1

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

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

Calls

126 calls:

Time	Variable		Point	Expression
4.0ms	b	@	inf	(/ (neg a) b)
2.0ms	a	@	0	(/ (neg a) b)
1.0ms	c	@	inf	(/ (* a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b))
1.0ms	a	@	inf	(/ (* a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b))
1.0ms	a	@	0	(/ (* a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b))

simplify321.0ms (3.4%)

Memory

22.7MiB live, 655.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12 608×	`lower-fma.f64`
12 608×	`lower-fma.f32`
9 518×	`lower-*.f64`
9 518×	`lower-*.f32`
5 036×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	863	8710
1	2849	8474
0	8878	8144

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 489

Calls

Call 1

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

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

rewrite261.0ms (2.7%)

Memory

5.5MiB live, 445.0MiB allocated

Rules

4 764×	`lower-fma.f64`
4 764×	`lower-fma.f32`
4 572×	`lower-/.f32`
4 556×	`lower-/.f64`
3 610×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	240
0	68	219
1	290	208
2	2221	208
0	8744	199

Stop Event

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

Counts

20 → 996

Calls

Call 1

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

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

eval388.0ms (4.1%)

Memory: -508.5MiB live, 419.7MiB allocated
Compiler: Compiled 31 917 to 3 952 computations (87.6% saved)

prune232.0ms (2.4%)

Memory

10.4MiB live, 544.0MiB allocated

Pruning

38 alts after pruning (33 fresh and 5 done)

	Pruned	Kept	Total
New	1 464	21	1 485
Fresh	6	12	18
Picked	2	3	5
Done	0	2	2
Total	1 472	38	1 510

Accuracy

90.3%

Counts

1 510 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.4%	(/.f64 (/.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 #s(literal 2 binary64) a))
	31.8%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64)))
▶	25.9%	(/.f64 (-.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (.f64 b b)) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))))))
	30.3%	(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (.f64 b b))) (+.f64 b (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))))
✓	31.8%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b)))
	16.3%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 2 binary64)) (-.f64 #s(approx (sqrt (- ( b b) (* (* 4 a) c))) (.f64 b (fma.f64 a (.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)) #s(literal 1 binary64)))) b)))
	32.4%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 2 binary64)) #s(approx (- (sqrt (- ( b b) (* (* 4 a) c))) b) (.f64 (neg.f64 b) (fma.f64 a (.f64 (/.f64 c (*.f64 b b)) #s(literal -2 binary64)) #s(literal 2 binary64))))))
	31.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b) a)))
	2.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 #s(approx (+ b (sqrt (+ (* c (* a -4)) (* b b)))) (*.f64 b #s(literal 2 binary64))) a)))
	31.8%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b)) a))
	37.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b)) (-.f64 (/.f64 a b) (/.f64 b c))))
	16.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ 2 (/ (+ b (sqrt (+ (* c (* a -4)) (* b b)))) a)) (/.f64 b c)))
▶	31.7%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b))
✓	49.8%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
	25.9%	(.f64 (-.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))))))
	32.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a))))
	34.0%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)))
	22.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (.f64 b a) (.f64 a (neg.f64 a))))
	34.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b))
✓	37.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
	26.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (.f64 (/.f64 #s(literal -1 binary64) a) (.f64 a a))))
✓	34.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
	17.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 b a)) b) (.f64 b (/.f64 b a)))))
▶	34.0%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a)))
	34.0%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
	24.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (.f64 (/.f64 b (.f64 a (neg.f64 a))) a))
▶	37.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
	34.0%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
	18.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 a) b)) #s(literal -1 binary64))))
	16.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 b (neg.f64 c))) #s(literal -1 binary64))))
	2.0%	#s(approx (/ 1 (/ 2 (/ (+ b (sqrt (+ (* c (* a -4)) (* b b)))) a))) (/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a))
	1.8%	#s(approx (/ 1 (/ 2 (/ (+ b (sqrt (+ (* c (* a -4)) (* b b)))) a))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 a) (neg.f64 b))) (.f64 a (neg.f64 a))))
▶	16.0%	#s(approx (/ 1 (/ 2 (/ (+ b (sqrt (+ (* c (* a -4)) (* b b)))) a))) (/.f64 c b))
✓	2.3%	#s(approx (/ 1 (/ 2 (/ (+ b (sqrt (+ (* c (* a -4)) (* b b)))) a))) (/.f64 b a))
	4.1%	#s(approx (/ 1 (/ 2 (/ (+ b (sqrt (+ (* c (* a -4)) (* b b)))) a))) (.f64 (/.f64 b (.f64 a (neg.f64 a))) (neg.f64 a)))
	2.3%	#s(approx (/ 1 (/ 2 (/ (+ b (sqrt (+ (* c (* a -4)) (* b b)))) a))) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
	2.3%	#s(approx (/ 1 (/ 2 (/ (+ b (sqrt (+ (* c (* a -4)) (* b b)))) a))) (*.f64 (/.f64 #s(literal -1 binary64) a) (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))))
	6.0%	#s(approx (/ 1 (/ 2 (/ (+ b (sqrt (+ (* c (* a -4)) (* b b)))) a))) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))

Compiler

Compiled 1 067 to 663 computations (37.9% saved)

simplify150.0ms (1.6%)

Memory

-7.2MiB live, 226.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 a (.f64 c #s(literal -4 binary64)))
cost-diff	0	#s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))
cost-diff	0	(-.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (*.f64 b b))
cost-diff	0	(/.f64 (-.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (.f64 b b)) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))))))
cost-diff	0	(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))
cost-diff	0	(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) a)
cost-diff	0	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b))
cost-diff	0	(/.f64 #s(literal -1 binary64) b)
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a)))
cost-diff	192	(*.f64 (/.f64 #s(literal -1 binary64) b) a)
cost-diff	704	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a))
cost-diff	0	(/.f64 c b)
cost-diff	0	#s(approx (/ 1 (/ 2 (/ (+ b (sqrt (+ (* c (* a -4)) (* b b)))) a))) (/.f64 c b))
cost-diff	0	(/.f64 #s(literal -1 binary64) b)
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
cost-diff	192	(*.f64 (/.f64 #s(literal -1 binary64) b) c)

Rules

4 666×	`lower-fma.f64`
4 666×	`lower-fma.f32`
3 102×	`lower-*.f32`
3 086×	`lower-*.f64`
2 002×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	343
0	65	341
1	126	330
2	265	330
3	569	330
4	1115	330
5	2414	330
6	4293	330
7	6587	330
0	8020	316

Stop Event

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

Calls

Call 1

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

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

localize179.0ms (1.9%)

Memory

-20.4MiB live, 337.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	19.518304833787173	(/.f64 (-.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (.f64 b b)) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))))))
accuracy	26.553727365632046	(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))
accuracy	35.443109273111766	(-.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))) (*.f64 b b))
accuracy	41.44852647005808	#s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))
accuracy	2.6600461681287633	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b))
accuracy	13.050475746002146	(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b)
accuracy	26.553727365632046	(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64)))))
accuracy	41.44852647005808	#s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))
accuracy	0	(/.f64 #s(literal -1 binary64) b)
accuracy	0.1953125	(*.f64 (/.f64 #s(literal -1 binary64) b) a)
accuracy	0.7167108575937958	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a))
accuracy	42.14835305900638	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a)))
accuracy	0	(/.f64 c b)
accuracy	42.29074123446924	#s(approx (/ 1 (/ 2 (/ (+ b (sqrt (+ (* c (* a -4)) (* b b)))) a))) (/.f64 c b))
accuracy	0	(/.f64 #s(literal -1 binary64) b)
accuracy	0.16796875	(*.f64 (/.f64 #s(literal -1 binary64) b) c)
accuracy	39.835522297774176	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))

Samples

63.0ms	86×	2	valid
29.0ms	66×	1	valid
22.0ms	85×	0	valid
15.0ms	19×	3	valid

Compiler

Compiled 261 to 43 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-mult: 25.0ms (27.3% of total)

ival-div: 19.0ms (20.8% of total)

adjust: 14.0ms (15.3% of total)

ival-sqrt: 14.0ms (15.3% of total)

ival-add: 9.0ms (9.8% of total)

ival-sub: 7.0ms (7.7% of total)

exact: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

series34.0ms (0.4%)

Memory

29.6MiB live, 68.6MiB allocated

Counts

16 → 468

Calls

Call 1

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

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

Calls

117 calls:

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

simplify299.0ms (3.2%)

Memory

-2.5MiB live, 505.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12 256×	`lower-fma.f64`
12 256×	`lower-fma.f32`
8 966×	`lower-*.f64`
8 966×	`lower-*.f32`
4 704×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	820	7910
1	2685	7680
0	8369	7393

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 465

Calls

Call 1

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

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

rewrite306.0ms (3.2%)

Memory

-0.3MiB live, 557.5MiB allocated

Rules

5 170×	`lower-/.f32`
5 160×	`lower-/.f64`
4 130×	`lower-fma.f64`
4 130×	`lower-fma.f32`
3 896×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	233
0	65	211
1	266	200
2	1958	200
0	8638	191

Stop Event

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

Counts

16 → 742

Calls

Call 1

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

Outputs
(-.f64 (/.f64 #s(literal 0 binary64) b) (/.f64 c b))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (neg.f64 c))))
(/.f64 c (neg.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 c)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (neg.f64 c)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) (*.f64 c #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) (*.f64 #s(literal 1 binary64) c)))
(/.f64 (neg.f64 c) b)
(/.f64 (neg.f64 c) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 b))
(/.f64 (*.f64 c #s(literal 1 binary64)) (neg.f64 b))
(/.f64 (*.f64 #s(literal 1 binary64) c) (neg.f64 b))
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (*.f64 c #s(literal 1 binary64))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) c)) (neg.f64 (neg.f64 b)))
(pow.f64 (/.f64 b (neg.f64 c)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 c b))
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
(*.f64 c (/.f64 #s(literal -1 binary64) b))
(*.f64 #s(literal 1 binary64) (/.f64 c (neg.f64 b)))
(*.f64 (/.f64 c b) #s(literal -1 binary64))
(*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 c #s(literal -1 binary64)))
(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
(exp.f64 (*.f64 (log.f64 (neg.f64 b)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal -1 binary64) b)
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 b)))
(/.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 b))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 b))))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal 1 binary64))
(pow.f64 (neg.f64 b) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) b))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))
#s(approx (/ 1 (/ 2 (/ (+ b (sqrt (+ (* c (* a -4)) (* b b)))) a))) (/.f64 c b))
(exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 b)) (/.f64 c (neg.f64 b)))
(neg.f64 (/.f64 c (neg.f64 b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b c)))
(/.f64 c b)
(/.f64 #s(literal 1 binary64) (/.f64 b c))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 b c))))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 c #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (neg.f64 c) #s(literal -1 binary64))))
(/.f64 (neg.f64 c) (neg.f64 b))
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 b)))
(/.f64 (*.f64 c #s(literal 1 binary64)) b)
(/.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) b)
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (neg.f64 (neg.f64 (neg.f64 b))))
(/.f64 (neg.f64 (*.f64 c #s(literal 1 binary64))) (neg.f64 b))
(/.f64 (neg.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64))) (neg.f64 b))
(pow.f64 (/.f64 b c) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 c (neg.f64 b)))
(*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 c #s(literal -1 binary64)))
(*.f64 c (/.f64 #s(literal 1 binary64) b))
(*.f64 #s(literal 1 binary64) (/.f64 c b))
(*.f64 (/.f64 c b) #s(literal 1 binary64))
(*.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) c)
(*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)))
(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b))
(exp.f64 (*.f64 (log.f64 (/.f64 a (neg.f64 b))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 #s(literal -1 binary64) (/.f64 a b))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 a b))))
(/.f64 b (neg.f64 a))
(/.f64 (neg.f64 b) a)
(/.f64 (neg.f64 b) (neg.f64 (neg.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) a)))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 a))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) (neg.f64 (/.f64 #s(literal -1 binary64) b)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 a)))
(pow.f64 (/.f64 a (neg.f64 b)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (/.f64 a b)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 a (neg.f64 b)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 a (neg.f64 b)) (/.f64 a (neg.f64 b))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 a (neg.f64 b)))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 b a))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) b) a) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) a))
(*.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 a)))
(*.f64 (/.f64 b (neg.f64 a)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 b))
(*.f64 (/.f64 b #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 a)) b)
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 a)) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 a (neg.f64 b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a (neg.f64 b)) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 a (neg.f64 b))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 a (neg.f64 b)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) b) (/.f64 a b))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 1 binary64) b)) (/.f64 a (.f64 #s(literal 1 binary64) b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (neg.f64 a))))
(/.f64 a (neg.f64 b))
(/.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (neg.f64 a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) b) (neg.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) (*.f64 a #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) (*.f64 #s(literal 1 binary64) a)))
(/.f64 (/.f64 a (neg.f64 b)) #s(literal 1 binary64))
(/.f64 (/.f64 a b) #s(literal -1 binary64))
(/.f64 (neg.f64 a) b)
(/.f64 (neg.f64 a) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 a) (*.f64 #s(literal 1 binary64) b))
(/.f64 (neg.f64 (/.f64 a b)) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 b))
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (*.f64 #s(literal 1 binary64) b)))
(/.f64 (*.f64 a #s(literal 1 binary64)) (neg.f64 b))
(/.f64 (*.f64 #s(literal 1 binary64) a) (neg.f64 b))
(/.f64 (neg.f64 (neg.f64 (neg.f64 a))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (*.f64 a #s(literal 1 binary64))) (neg.f64 (neg.f64 b)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) a)) (neg.f64 (neg.f64 b)))
(pow.f64 (/.f64 a (neg.f64 b)) #s(literal 1 binary64))
(pow.f64 (/.f64 b (neg.f64 a)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 a b))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) b) a))
(*.f64 (/.f64 #s(literal -1 binary64) b) a)
(*.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 a #s(literal 1 binary64)))
(*.f64 a (/.f64 #s(literal -1 binary64) b))
(*.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 b)))
(*.f64 (/.f64 a (neg.f64 b)) #s(literal 1 binary64))
(*.f64 (/.f64 a b) #s(literal -1 binary64))
(*.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) b))
(*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 a #s(literal -1 binary64)))
(*.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
(+.f64 (/.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 a (.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))))))) (neg.f64 (/.f64 (.f64 b b) (.f64 a (.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))))))))))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 b)))
(+.f64 (.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a)))
(exp.f64 (.f64 (log.f64 (/.f64 a (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) b)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 a (.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))))))) (/.f64 (.f64 b b) (.f64 a (.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (+.f64 b (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 a #s(literal -2 binary64)))) (/.f64 (-.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 b b)) (.f64 (+.f64 b (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))))
(-.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))))) (fma.f64 b (+.f64 b (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 c (.f64 a #s(literal -4 binary64)))))) (.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (.f64 b (.f64 b b)) (fma.f64 b (+.f64 b (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 c (.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) #s(literal 0 binary64)) (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))))) (fma.f64 (.f64 b b) (fma.f64 b b #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))))) (.f64 a (.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))))))) (/.f64 (/.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b))) (fma.f64 (.f64 b b) (fma.f64 b b #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))))) (.f64 a (.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))))))))
(-.f64 (/.f64 (/.f64 (.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 b b #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 a (.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))))))) (/.f64 (/.f64 (.f64 (.f64 b b) (.f64 b b)) (fma.f64 b b #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 a (.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))))))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))))) (fma.f64 (.f64 b b) (fma.f64 b b #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b))) (fma.f64 (.f64 b b) (fma.f64 b b #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))))) (fma.f64 (.f64 b b) (fma.f64 b b #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 (.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))))) (fma.f64 (.f64 b b) (fma.f64 b b #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))))) (fma.f64 (/.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b))) (fma.f64 (.f64 b b) (fma.f64 b b #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b))) (fma.f64 (.f64 b b) (fma.f64 b b #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))))) (.f64 (/.f64 (.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))))) (fma.f64 (.f64 b b) (fma.f64 b b #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b))) (fma.f64 (.f64 b b) (fma.f64 b b #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 b b #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 b b) (.f64 b b)) (fma.f64 b b #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 b b #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))))) (/.f64 (.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 b b #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))))) (fma.f64 (/.f64 (.f64 (.f64 b b) (.f64 b b)) (fma.f64 b b #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))))) (/.f64 (.f64 (.f64 b b) (.f64 b b)) (fma.f64 b b #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 (/.f64 (.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 b b #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))))) (/.f64 (.f64 (.f64 b b) (.f64 b b)) (fma.f64 b b #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) (*.f64 b b))) #s(literal -1 binary64))
(.f64 (+.f64 b (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))))) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) b))
(.f64 (fma.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 (.f64 b b) (.f64 (.f64 b b) (.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (fma.f64 b b #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))))))
(.f64 (.f64 (fma.f64 b b #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) (-.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))))))
(exp.f64 (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))))
(exp.f64 (.f64 (log.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))))) #s(literal 1/2 binary64)))
(fabs.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))))
(sqrt.f64 (.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))))
#s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))
(pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) #s(literal 2 binary64))
(pow.f64 (.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))))
(-.f64 #s(literal 0 binary64) (.f64 c (.f64 #s(literal 4 binary64) a)))
(neg.f64 (.f64 c (.f64 #s(literal 4 binary64) a)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 64 binary64) (.f64 (.f64 c a) (.f64 (.f64 c a) (.f64 c a))))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 c a) (.f64 c a)) (.f64 #s(literal 0 binary64) (.f64 c (.f64 #s(literal 4 binary64) a))))))
(.f64 #s(literal -1 binary64) (.f64 c (*.f64 #s(literal 4 binary64) a)))
(.f64 c (.f64 a #s(literal -4 binary64)))
(.f64 #s(literal 4 binary64) (neg.f64 (.f64 c a)))
(.f64 a (.f64 c #s(literal -4 binary64)))
(.f64 (.f64 #s(literal 4 binary64) a) (neg.f64 c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(.f64 (.f64 a #s(literal -4 binary64)) c)
(.f64 (.f64 c #s(literal -4 binary64)) a)
(.f64 (neg.f64 c) (.f64 #s(literal 4 binary64) a))
(.f64 (.f64 c a) #s(literal -4 binary64))

eval186.0ms (2%)

Memory: 32.9MiB live, 381.0MiB allocated
Compiler: Compiled 44 720 to 2 465 computations (94.5% saved)

prune258.0ms (2.7%)

Memory

-29.1MiB live, 432.2MiB allocated

Pruning

37 alts after pruning (28 fresh and 9 done)

	Pruned	Kept	Total
New	1 433	9	1 442
Fresh	9	19	28
Picked	1	4	5
Done	0	5	5
Total	1 443	37	1 480

Accuracy

90.3%

Counts

1 480 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.4%	(/.f64 (/.f64 (-.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 b b)) (.f64 a #s(literal 2 binary64))) (+.f64 b (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))))))
	31.8%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64)))
	29.6%	(/.f64 #s(approx (- (- (* b b) (* (* 4 a) c)) (* b b)) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))))))
✓	31.8%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b)))
	2.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 #s(approx (+ b (sqrt (+ (* c (* a -4)) (* b b)))) (*.f64 b #s(literal 2 binary64))) a)))
	31.8%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b)) a))
	37.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ (* a 2) (- (sqrt (- (* b b) (* (* 4 a) c))) b)) (-.f64 (/.f64 a b) (/.f64 b c))))
	25.9%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 #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(approx (- (* b b) (* (* 4 a) c)) (.f64 c (.f64 a #s(literal -4 binary64)))) (*.f64 b b)))
✓	31.7%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b))
	16.3%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (- ( b b) (* (* 4 a) c))) (.f64 b (fma.f64 (.f64 #s(literal -2 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))) b))
	32.4%	(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (- ( b b) (* (* 4 a) c))) b) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 2 binary64)) (neg.f64 b))))
✓	49.8%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
	34.4%	#s(approx (/ (- (- (* b b) (* (* 4 a) c)) (* b b)) (* (* a 2) (+ b (sqrt (- (* b b) (* (* 4 a) c)))))) (/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b))
	32.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a))))
	34.0%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b)))
	22.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (.f64 b a) (.f64 a (neg.f64 a))))
✓	37.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))
	26.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (.f64 (/.f64 #s(literal -1 binary64) a) (.f64 a a))))
✓	34.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a)))
	17.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 b a)) b) (.f64 b (/.f64 b a)))))
✓	34.0%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a)))
	34.0%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
	24.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (.f64 (/.f64 b (.f64 a (neg.f64 a))) a))
✓	37.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
	34.0%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) a) b))
	18.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 a) b)) #s(literal -1 binary64))))
	16.4%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 b (neg.f64 c))) #s(literal -1 binary64))))
	2.0%	#s(approx (/ 1 (/ 2 (/ (+ b (sqrt (+ (* c (* a -4)) (* b b)))) a))) (/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a))
	1.8%	#s(approx (/ 1 (/ 2 (/ (+ b (sqrt (+ (* c (* a -4)) (* b b)))) a))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 a) (neg.f64 b))) (.f64 a (neg.f64 a))))
✓	16.0%	#s(approx (/ 1 (/ 2 (/ (+ b (sqrt (+ (* c (* a -4)) (* b b)))) a))) (/.f64 c b))
✓	2.3%	#s(approx (/ 1 (/ 2 (/ (+ b (sqrt (+ (* c (* a -4)) (* b b)))) a))) (/.f64 b a))
	4.1%	#s(approx (/ 1 (/ 2 (/ (+ b (sqrt (+ (* c (* a -4)) (* b b)))) a))) (.f64 (/.f64 b (.f64 a (neg.f64 a))) (neg.f64 a)))
	16.0%	#s(approx (/ 1 (/ 2 (/ (+ b (sqrt (+ (* c (* a -4)) (* b b)))) a))) (*.f64 (/.f64 #s(literal 1 binary64) b) c))
	2.3%	#s(approx (/ 1 (/ 2 (/ (+ b (sqrt (+ (* c (* a -4)) (* b b)))) a))) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
	2.3%	#s(approx (/ 1 (/ 2 (/ (+ b (sqrt (+ (* c (* a -4)) (* b b)))) a))) (*.f64 (/.f64 #s(literal -1 binary64) a) (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))))
	9.2%	#s(approx (/ 1 (/ 2 (/ (+ b (sqrt (+ (* c (* a -4)) (* b b)))) a))) (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64))))
	6.0%	#s(approx (/ 1 (/ 2 (/ (+ b (sqrt (+ (* c (* a -4)) (* b b)))) a))) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))

Compiler

Compiled 1 439 to 546 computations (62.1% saved)

regimes117.0ms (1.2%)

Memory

1.0MiB live, 159.1MiB allocated

Counts

66 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

44.0ms	c
30.0ms	b
20.0ms	a
19.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
53.4%	3	`a`
85.4%	3	`b`
57.8%	4	`c`
74.8%	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes14.0ms (0.1%)

Memory

-7.6MiB live, 31.1MiB allocated

Counts

36 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
85.4%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes13.0ms (0.1%)

Memory

-9.6MiB live, 29.4MiB allocated

Counts

35 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
82.5%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Memory

26.1MiB live, 26.1MiB allocated

Counts

29 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
82.4%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes20.0ms (0.2%)

Memory

6.5MiB live, 44.2MiB allocated

Counts

28 → 2

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	b
8.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
55.1%	4	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
69.4%	2	`b`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes13.0ms (0.1%)

Memory

-16.9MiB live, 23.7MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

7.0ms	c
2.0ms	b
2.0ms	a
2.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
34.1%	1	`a`
34.1%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
34.1%	1	`c`
47.4%	2	`b`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes7.0ms (0.1%)

Memory

22.0MiB live, 22.0MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
16.0%	1	`c`
16.0%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
16.0%	1	`a`
16.0%	1	`b`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes9.0ms (0.1%)

Memory

-20.3MiB live, 17.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
1.0ms	a
1.0ms	b
1.0ms	c

Results

Accuracy	Segments	Branch
2.3%	1	`c`
2.3%	1	`b`
2.3%	1	`a`
2.3%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch32.0ms (0.3%)

Memory

-9.2MiB live, 66.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
22.0ms	1.4037103053082139e-73	1.2390751331762425e-71
6.0ms	-1.3416809791896625e+157	-2.918160875256681e+143

Samples

9.0ms	113×	0	valid
5.0ms	26×	2	valid
4.0ms	21×	1	valid
2.0ms	29×	0	invalid

Compiler

Compiled 323 to 230 computations (28.8% saved)

Precisions

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

ival-mult: 5.0ms (33.1% of total)

ival-sub: 3.0ms (19.8% of total)

ival-div: 2.0ms (13.2% of total)

ival-sqrt: 2.0ms (13.2% of total)

adjust: 1.0ms (6.6% of total)

ival-add: 1.0ms (6.6% of total)

ival-neg: 1.0ms (6.6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Memory

-5.8MiB live, 37.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.4037103053082139e-73	1.2390751331762425e-71
13.0ms	-5.5850255378313696e+125	-9.228931348518439e+123

Samples

9.0ms	112×	0	valid
0.0ms	2×	0	invalid

Compiler

Compiled 415 to 286 computations (31.1% saved)

Precisions

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

ival-mult: 3.0ms (49.5% of total)

ival-div: 1.0ms (16.5% of total)

ival-add: 1.0ms (16.5% of total)

ival-sub: 1.0ms (16.5% of total)

ival-sqrt: 1.0ms (16.5% of total)

ival-neg: 1.0ms (16.5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch24.0ms (0.3%)

Memory

15.9MiB live, 54.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.4037103053082139e-73	1.2390751331762425e-71
21.0ms	-664768603224.887	-5.121491599395319

Samples

14.0ms	160×	0	valid
1.0ms	13×	0	invalid

Compiler

Compiled 535 to 356 computations (33.5% saved)

Precisions

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

ival-mult: 4.0ms (38.2% of total)

ival-neg: 2.0ms (19.1% of total)

ival-div: 1.0ms (9.6% of total)

ival-add: 1.0ms (9.6% of total)

ival-sub: 1.0ms (9.6% of total)

ival-sqrt: 1.0ms (9.6% 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

4.5MiB live, 4.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.4037103053082139e-73	1.2390751331762425e-71
1.0ms	-664768603224.887	-5.121491599395319

Compiler

Compiled 535 to 356 computations (33.5% saved)

bsearch34.0ms (0.4%)

Memory

-0.3MiB live, 75.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	-4.082275876353513e-304	1.2457120778314698e-298

Samples

15.0ms	160×	0	valid
7.0ms	83×	0	invalid

Compiler

Compiled 203 to 140 computations (31% saved)

Precisions

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

ival-mult: 6.0ms (40.6% of total)

ival-div: 4.0ms (27.1% of total)

ival-sqrt: 2.0ms (13.5% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch29.0ms (0.3%)

Memory

1.0MiB live, 51.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	5.657538897459822e-20	1.9470361763564733e-17

Samples

9.0ms	31×	1	valid
7.0ms	35×	2	valid
5.0ms	62×	0	valid
1.0ms	12×	0	invalid

Compiler

Compiled 159 to 108 computations (32.1% saved)

Precisions

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

ival-sub: 6.0ms (36.4% of total)

ival-mult: 3.0ms (18.2% of total)

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

adjust: 2.0ms (12.1% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

simplify13.0ms (0.1%)

Memory

-8.0MiB live, 31.4MiB allocated

Algorithm

1×	egg-herbie

Rules

34×	`*-commutative_binary64`
26×	`+-commutative_binary64`
24×	`sub-neg_binary64`
18×	`neg-sub0_binary64`
18×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	84	438
1	111	437
2	141	437
3	157	437
4	166	437
5	168	437

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -1999999999999999961671192344874749181146240028060637586182329620308200224407357165952596537232442303925404120532352010881134064662416807896466747031552 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 1750577792162449/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))))
(if (<=.f64 b #s(literal -29000000000000002142483439254646718550439753317590445752993443185842093900713385390756347530001247932000528721970424014962688 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 1750577792162449/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))))
(if (<=.f64 b #s(literal -122 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b (neg.f64 a)))) (if (<=.f64 b #s(literal 1750577792162449/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b) (.f64 a #s(literal 2 binary64))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))))
(if (<=.f64 b #s(literal -122 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b (neg.f64 a)))) (if (<=.f64 b #s(literal 1750577792162449/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal 3530761863803683/5192296858534827628530496329220096 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) #s(approx (/ 1 (/ 2 (/ (+ b (sqrt (+ (* c (* a -4)) (* b b)))) a))) (/.f64 c b)))
#s(approx (/ 1 (/ 2 (/ (+ b (sqrt (+ (* c (* a -4)) (* b b)))) a))) (/.f64 c b))
#s(approx (/ 1 (/ 2 (/ (+ b (sqrt (+ (* c (* a -4)) (* b b)))) a))) (/.f64 b a))

Outputs
(if (<=.f64 b #s(literal -1999999999999999961671192344874749181146240028060637586182329620308200224407357165952596537232442303925404120532352010881134064662416807896466747031552 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 1750577792162449/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))))
(if (<=.f64 b #s(literal -1999999999999999961671192344874749181146240028060637586182329620308200224407357165952596537232442303925404120532352010881134064662416807896466747031552 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 1750577792162449/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 #s(literal 4 binary64) a)))) b) (.f64 a #s(literal 2 binary64))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))))
(if (<=.f64 b #s(literal -29000000000000002142483439254646718550439753317590445752993443185842093900713385390756347530001247932000528721970424014962688 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 1750577792162449/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))))
(if (<=.f64 b #s(literal -29000000000000002142483439254646718550439753317590445752993443185842093900713385390756347530001247932000528721970424014962688 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 1750577792162449/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))))
(if (<=.f64 b #s(literal -122 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b (neg.f64 a)))) (if (<=.f64 b #s(literal 1750577792162449/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b) (.f64 a #s(literal 2 binary64))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))))
(if (<=.f64 b #s(literal -122 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 (neg.f64 b) a))) (if (<=.f64 b #s(literal 1750577792162449/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b) (.f64 a #s(literal 2 binary64))) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))))
(if (<=.f64 b #s(literal -122 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b (neg.f64 a)))) (if (<=.f64 b #s(literal 1750577792162449/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))))
(if (<=.f64 b #s(literal -122 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 (neg.f64 b) a))) (if (<=.f64 b #s(literal 1750577792162449/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448 binary64)) (.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 a (.f64 c #s(literal -4 binary64))))) b) (/.f64 #s(literal 1/2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b)))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal 3530761863803683/5192296858534827628530496329220096 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b (neg.f64 a))) #s(approx (/ 1 (/ 2 (/ (+ b (sqrt (+ (* c (* a -4)) (* b b)))) a))) (/.f64 c b)))
(if (<=.f64 b #s(literal 3530761863803683/5192296858534827628530496329220096 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ 1 (/ 2 (/ (+ b (sqrt (+ (* c (* a -4)) (* b b)))) a))) (/.f64 c b)))
#s(approx (/ 1 (/ 2 (/ (+ b (sqrt (+ (* c (* a -4)) (* b b)))) a))) (/.f64 c b))
#s(approx (/ 1 (/ 2 (/ (+ b (sqrt (+ (* c (* a -4)) (* b b)))) a))) (/.f64 b a))

soundness771.0ms (8.1%)

Memory

6.1MiB live, 763.1MiB allocated

Rules

11 458×	`lower-fma.f64`
11 458×	`lower-fma.f32`
7 766×	`lower-*.f64`
7 766×	`lower-*.f32`
7 316×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	270
0	67	269
1	238	254
2	1802	254
0	8306	254
0	545	3273
1	1738	3232
2	6083	3204
0	8243	3047
0	14	51
0	23	51
1	76	49
2	536	48
3	6864	48
0	8158	44
0	1143	14686
1	3757	14383
0	8203	13739

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×	node limit
1×	iter limit

Compiler

Compiled 409 to 188 computations (54% saved)

preprocess56.0ms (0.6%)

Memory: 25.1MiB live, 137.9MiB allocated
Compiler: Compiled 402 to 144 computations (64.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze134.0ms (1.4%)

sample1.6s (16.6%)

explain270.0ms (2.8%)

preprocess146.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify93.0ms (1%)

localize62.0ms (0.7%)

series29.0ms (0.3%)

simplify263.0ms (2.8%)

rewrite264.0ms (2.8%)

eval84.0ms (0.9%)

prune107.0ms (1.1%)

simplify409.0ms (4.3%)

localize168.0ms (1.8%)

series67.0ms (0.7%)

simplify323.0ms (3.4%)

rewrite523.0ms (5.5%)

eval463.0ms (4.9%)

prune293.0ms (3.1%)

simplify201.0ms (2.1%)

localize159.0ms (1.7%)

series43.0ms (0.5%)

simplify321.0ms (3.4%)

rewrite261.0ms (2.7%)

eval388.0ms (4.1%)

prune232.0ms (2.4%)

simplify150.0ms (1.6%)

localize179.0ms (1.9%)

series34.0ms (0.4%)

simplify299.0ms (3.2%)

rewrite306.0ms (3.2%)

eval186.0ms (2%)

prune258.0ms (2.7%)

regimes117.0ms (1.2%)

regimes14.0ms (0.1%)

regimes13.0ms (0.1%)

regimes10.0ms (0.1%)

regimes20.0ms (0.2%)

regimes13.0ms (0.1%)

regimes7.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch32.0ms (0.3%)

bsearch20.0ms (0.2%)

bsearch24.0ms (0.3%)

bsearch2.0ms (0%)

bsearch34.0ms (0.4%)

bsearch29.0ms (0.3%)

simplify13.0ms (0.1%)

soundness771.0ms (8.1%)

preprocess56.0ms (0.6%)

end0.0ms (0%)

Profiling