Metrics for quadm (p42, negative)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze167.0ms (1.6%)

Memory

-16.9MiB live, 144.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 19 to 16 computations (15.8% saved)

sample1.5s (14.4%)

Memory

39.1MiB live, 1 731.7MiB allocated

Samples

534.0ms	5 592×	0	valid
270.0ms	1 185×	2	valid
183.0ms	1 283×	1	valid
83.0ms	960×	0	invalid
50.0ms	196×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 805.0ms

ival-mult: 305.0ms (37.9% of total)

ival-sub: 127.0ms (15.8% of total)

ival-div: 101.0ms (12.6% of total)

ival-sqrt: 101.0ms (12.6% of total)

adjust: 88.0ms (10.9% of total)

ival-neg: 62.0ms (7.7% of total)

exact: 9.0ms (1.1% of total)

ival-true: 8.0ms (1% of total)

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

Bogosity

explain186.0ms (1.8%)

Memory

-11.2MiB live, 229.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
114	-	0	-	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))`
55	-	1	(-5.22952877359855e-177 -5.128911783474518e-134 2.9027890534508283e-93)	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`
16	-	1	(1.7632593456857636e-289 -1.416198904084662e-19 4.42508784851242e-52)	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
2	-	0	-	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`
0	-	0	-	`a`
0	-	0	-	`(.f64 #s(literal 4 binary64) (.f64 a c))`
0	-	0	-	`(*.f64 a c)`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`(*.f64 b b)`
0	-	0	-	`(*.f64 #s(literal 2 binary64) a)`
0	-	0	-	`c`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(neg.f64 b)`
0	-	0	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))`	oflow-rescue	110	0
↳	`(*.f64 b b)`	overflow	93
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	overflow	26
↳	`(*.f64 a c)`	overflow	26
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	overflow	110
`-.f64`	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`	cancellation	54	1
`/.f64`	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`	u/n	15	0
↳	`(*.f64 b b)`	underflow	43
↳	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`	underflow	35
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	underflow	38
↳	`(*.f64 a c)`	underflow	38
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	underflow	4
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))`	uflow-rescue	4	0
↳	`(*.f64 b b)`	underflow	43
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	underflow	38
↳	`(*.f64 a c)`	underflow	38
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	underflow	4
`-.f64`	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	nan-rescue	2	0
↳	`(*.f64 b b)`	overflow	93
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	overflow	26
↳	`(*.f64 a c)`	overflow	26

Confusion

	Predicted +	Predicted -
+	127	0
-	23	106

Precision

0.8466666666666667

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	127	0	0
-	23	1	105

Precision?

0.8410596026490066

Recall?

1.0

Freqs

test

number	freq
0	106
1	117
2	31
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

30.0ms	334×	0	valid
22.0ms	96×	2	valid
11.0ms	70×	1	valid
3.0ms	12×	3	valid

Compiler

Compiled 164 to 46 computations (72% saved)

Precisions

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

ival-mult: 13.0ms (31.9% of total)

ival-sub: 7.0ms (17.2% of total)

ival-sqrt: 6.0ms (14.7% of total)

adjust: 5.0ms (12.3% of total)

ival-div: 5.0ms (12.3% of total)

ival-neg: 2.0ms (4.9% of total)

exact: 1.0ms (2.5% of total)

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

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

preprocess234.0ms (2.2%)

Memory

7.2MiB live, 83.1MiB allocated

Algorithm

1×	egg-herbie

Rules

709×	`times-frac`
573×	`distribute-rgt-in`
560×	`lower-fma.f64`
560×	`lower-fma.f32`
487×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	158
1	189	151
2	590	147
3	1942	144
4	4692	144
5	5896	144
6	6384	144
7	6472	144
8	6511	144
9	6782	144
0	14	17
0	23	17
1	45	17
2	104	17
3	247	16
4	409	16
5	743	16
6	1570	16
7	2082	16
8	2242	16
9	2312	16
10	2322	16
11	2322	16
12	2328	16
0	2328	15

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 20 to 14 computations (30% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.0%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Compiler

Compiled 20 to 14 computations (30% saved)

simplify99.0ms (0.9%)

Memory

9.1MiB live, 45.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

560×	`lower-fma.f64`
560×	`lower-fma.f32`
372×	`lower-*.f32`
368×	`lower-*.f64`
228×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize87.0ms (0.8%)

Memory

6.8MiB live, 54.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.41406250000000006	(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))
accuracy	3.5636537658310243	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))
accuracy	12.57126188576104	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))
accuracy	26.533060056239123	(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))

Samples

39.0ms	48×	2	valid
15.0ms	167×	0	valid
6.0ms	35×	1	valid
2.0ms	6×	3	valid

Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 35.0ms (72.1% of total)

ival-sub: 4.0ms (8.2% of total)

ival-sqrt: 3.0ms (6.2% of total)

adjust: 3.0ms (6.2% of total)

ival-div: 3.0ms (6.2% of total)

ival-neg: 1.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series58.0ms (0.6%)

Memory

-14.3MiB live, 22.3MiB allocated

Counts

5 → 156

Calls

Call 1

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

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

Calls

39 calls:

Time	Variable		Point	Expression
36.0ms	a	@	-inf	(sqrt (- (* b b) (* 4 (* a c))))
1.0ms	a	@	inf	(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
1.0ms	b	@	0	(/ (- (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	b	@	0	(- (* b b) (* 4 (* a c)))

simplify220.0ms (2.1%)

Memory

28.1MiB live, 148.8MiB allocated

Algorithm

1×	egg-herbie

Rules

4 934×	`lower-fma.f64`
4 934×	`lower-fma.f32`
3 992×	`lower-*.f64`
3 992×	`lower-*.f32`
1 132×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	545	3138
1	1718	3109
2	5758	3070
0	8120	2910

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 153

Calls

Call 1

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

rewrite246.0ms (2.4%)

Memory

-0.7MiB live, 110.7MiB allocated

Rules

2 659×	`lower-fma.f64`
2 659×	`lower-fma.f32`
2 313×	`lower-*.f32`
2 309×	`lower-*.f64`
1 518×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 512

Calls

Call 1

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

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

eval171.0ms (1.6%)

Memory: -14.1MiB live, 139.9MiB allocated
Compiler: Compiled 25 299 to 2 226 computations (91.2% saved)

prune165.0ms (1.6%)

Memory

-19.1MiB live, 226.8MiB allocated

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	646	19	665
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	647	19	666

Accuracy

92.2%

Counts

666 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.0%	(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)))
	22.4%	(/.f64 (fma.f64 b b (fma.f64 (.f64 c #s(literal 4 binary64)) a (.f64 b b))) (.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)))
	33.1%	(/.f64 (-.f64 (.f64 (.f64 b #s(literal -1/2 binary64)) a) (.f64 a (.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) #s(literal 1/2 binary64)))) (*.f64 a a))
▶	52.0%	(/.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a))
	43.1%	(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
	50.9%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (fma.f64 b (/.f64 b a) (.f64 #s(literal -4 binary64) c)) a)))) (*.f64 #s(literal 2 binary64) a))
	35.2%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) (/.f64 c (.f64 b b)) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a))
	34.2%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 a c) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
	15.3%	(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 b (.f64 (/.f64 c (.f64 b b)) a)) #s(literal 2 binary64) (neg.f64 b)))) (.f64 #s(literal 2 binary64) a))
	32.9%	(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (.f64 #s(literal -2 binary64) c) (/.f64 a b) b))) (.f64 #s(literal 2 binary64) a))
	34.9%	(/.f64 (-.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 #s(literal -2 binary64) a) b) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) a))) (.f64 (/.f64 (.f64 #s(literal -2 binary64) a) b) #s(literal 2 binary64)))
▶	34.9%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))))
	34.9%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b)))))
	31.8%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (fma.f64 (/.f64 c (.f64 (.f64 b b) b)) a (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)))
▶	35.6%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (.f64 c (/.f64 c (.f64 b b))) a c) (neg.f64 b)))
	32.9%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
▶	36.8%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
	33.0%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
	32.6%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (.f64 (-.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))

Compiler

Compiled 758 to 458 computations (39.6% saved)

simplify259.0ms (2.5%)

Memory

-25.5MiB live, 89.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
cost-diff	0	(.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a))
cost-diff	0	(/.f64 b a)
cost-diff	896	(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)))
cost-diff	0	(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
cost-diff	0	(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))
cost-diff	0	(/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))
cost-diff	384	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))))
cost-diff	0	(.f64 c (/.f64 c (.f64 b b)))
cost-diff	0	(fma.f64 (.f64 c (/.f64 c (.f64 b b))) a c)
cost-diff	0	(/.f64 (fma.f64 (.f64 c (/.f64 c (.f64 b b))) a c) (neg.f64 b))
cost-diff	0	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (.f64 c (/.f64 c (.f64 b b))) a c) (neg.f64 b)))
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 c (neg.f64 b))
cost-diff	0	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
cost-diff	0	(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
cost-diff	0	(neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))
cost-diff	0	(-.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) b)
cost-diff	128	(/.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a))

Rules

1 782×	`lower-fma.f32`
1 779×	`lower-fma.f64`
1 196×	`lower-*.f32`
1 191×	`lower-*.f64`
819×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	305
0	64	301
1	122	301
2	252	297
3	564	297
4	969	297
5	2065	297
6	3695	297
7	4978	297
8	5508	297
9	5717	297
10	5902	297
11	5955	297
12	6413	297
13	6667	297
14	6755	297
15	6851	297
16	6883	297
17	6883	297
18	6883	297
19	7191	297
20	7478	297
21	7888	297
0	8018	297

Stop Event

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

Calls

Call 1

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

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

localize195.0ms (1.9%)

Memory

27.3MiB live, 345.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.25228500976844204	(.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a))
accuracy	0.41406250000000006	(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
accuracy	16.668972053198747	(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)))
accuracy	26.533060056239094	(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
accuracy	0.41406250000000006	(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
accuracy	4.941857844955865	(/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))
accuracy	10.445699877345914	(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))
accuracy	26.533060056239094	(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
accuracy	2.4285437963661045	(.f64 c (/.f64 c (.f64 b b)))
accuracy	2.8709563262908597	(fma.f64 (.f64 c (/.f64 c (.f64 b b))) a c)
accuracy	8.592842974087102	(/.f64 c (*.f64 b b))
accuracy	40.50647180941762	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (.f64 c (/.f64 c (.f64 b b))) a c) (neg.f64 b)))
accuracy	0	(/.f64 c (neg.f64 b))
accuracy	0	(neg.f64 b)
accuracy	40.41779159100971	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
accuracy	0.41406250000000006	(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
accuracy	3.5636537658310243	(/.f64 (-.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a))
accuracy	12.57126188576104	(-.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) b)
accuracy	26.533060056239094	(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))

Samples

85.0ms	89×	2	valid
28.0ms	64×	1	valid
23.0ms	90×	0	valid
10.0ms	13×	3	valid

Compiler

Compiled 305 to 40 computations (86.9% saved)

Precisions

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

ival-div: 22.0ms (26.4% of total)

ival-mult: 17.0ms (20.4% of total)

adjust: 15.0ms (18% of total)

ival-sqrt: 11.0ms (13.2% of total)

ival-sub: 9.0ms (10.8% of total)

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

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

exact: 1.0ms (1.2% of total)

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

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

series125.0ms (1.2%)

Memory

13.1MiB live, 130.0MiB allocated

Counts

19 → 612

Calls

Call 1

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

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

Calls

153 calls:

Time	Variable		Point	Expression
31.0ms	c	@	inf	(- b (sqrt (+ (* -4 (* c a)) (* b b))))
26.0ms	b	@	inf	(/ c (neg b))
2.0ms	b	@	-inf	(/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))
2.0ms	c	@	inf	(/ c (neg b))
1.0ms	a	@	inf	(/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))

simplify244.0ms (2.3%)

Memory

-13.5MiB live, 332.5MiB allocated

Algorithm

1×	egg-herbie

Rules

3 641×	`lower-fma.f64`
3 641×	`lower-fma.f32`
3 497×	`lower-*.f64`
3 497×	`lower-*.f32`
2 614×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1145	12291
1	3743	12036
0	8221	11551

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 604

Calls

Call 1

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

Outputs
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(fma.f64 (fma.f64 a (/.f64 c (.f64 (.f64 b b) b)) (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 2 binary64) (/.f64 a (.f64 (.f64 b b) b))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (.f64 c a)))) c)
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (.f64 c a))) (.f64 (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) c) (.f64 (*.f64 a a) a))))) #s(literal -1/4 binary64))) c)
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (.f64 c a))) (fma.f64 (.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 5 binary64)))))) #s(literal 1/16 binary64) (.f64 (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) c) (.f64 (.f64 a a) a))))) #s(literal -1/4 binary64)))) c)
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(.f64 (neg.f64 c) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (.f64 #s(literal 1/2 binary64) (/.f64 b (.f64 c a)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
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(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(fma.f64 (.f64 #s(literal -1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 (.f64 c c) c))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))))
(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 (.f64 c c) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/128 binary64) (fma.f64 (.f64 #s(literal 1/1024 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 5 binary64)))))) (.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))
(fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c)))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 (.f64 c c) c))))) (/.f64 (.f64 b b) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c))) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/4 binary64))) (.f64 b b) (.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/32 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 7 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 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 (.f64 c c) c)))) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) #s(literal 1/16 binary64))) (.f64 b b) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c))) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/4 binary64))) (.f64 b b) (.f64 (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64)))
(* -1/2 (/ b a))
(*.f64 #s(literal -1/2 binary64) (/.f64 b a))
(* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a))))
(.f64 (-.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) b)
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))
(.f64 (-.f64 (fma.f64 a (/.f64 (.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 c (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) b)
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 c c) c) (.f64 a a)) (pow.f64 b #s(literal 6 binary64))) #s(literal 2 binary64) (-.f64 (fma.f64 a (/.f64 (.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 c (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) b)
(* 1/2 (/ b a))
(*.f64 #s(literal 1/2 binary64) (/.f64 b a))
(* -1 (* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a)))))
(.f64 (neg.f64 b) (-.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)))
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))))
(.f64 (neg.f64 b) (-.f64 (fma.f64 a (/.f64 (.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 c (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a)))))
(.f64 (neg.f64 b) (fma.f64 (/.f64 (.f64 (.f64 (.f64 c c) c) (.f64 a a)) (pow.f64 b #s(literal 6 binary64))) #s(literal 2 binary64) (-.f64 (fma.f64 a (/.f64 (.f64 c c) (pow.f64 b #s(literal 4 binary64))) (/.f64 c (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (.f64 b b) c)) c)
(* c (+ (* -4 a) (/ (pow b 2) c)))
(.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (.f64 b b) c)) c)
(* c (+ (* -4 a) (/ (pow b 2) c)))
(.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (.f64 b b) c)) c)
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(.f64 (fma.f64 #s(literal 4 binary64) a (/.f64 (neg.f64 (.f64 b b)) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(.f64 (fma.f64 #s(literal 4 binary64) a (/.f64 (neg.f64 (.f64 b b)) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(.f64 (fma.f64 #s(literal 4 binary64) a (/.f64 (neg.f64 (.f64 b b)) c)) (neg.f64 c))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (.f64 b b) a)) a)
(* a (+ (* -4 c) (/ (pow b 2) a)))
(.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (.f64 b b) a)) a)
(* a (+ (* -4 c) (/ (pow b 2) a)))
(.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (.f64 b b) a)) a)
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (neg.f64 (.f64 b b)) a)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (neg.f64 (.f64 b b)) a)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (neg.f64 (.f64 b b)) a)))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (fma.f64 (.f64 a (/.f64 c (.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (.f64 b b))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (fma.f64 (.f64 a (/.f64 c (.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (.f64 b b))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (fma.f64 (.f64 a (/.f64 c (.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (.f64 b b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (fma.f64 (.f64 a (/.f64 c (.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (.f64 b b))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (fma.f64 (.f64 a (/.f64 c (.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (.f64 b b))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (fma.f64 (.f64 a (/.f64 c (.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))
(/ c (pow b 2))
(/.f64 c (*.f64 b b))

rewrite362.0ms (3.5%)

Memory

16.6MiB live, 420.4MiB allocated

Rules

2 397×	`lower-/.f32`
2 389×	`lower-/.f64`
2 096×	`lower-*.f32`
2 091×	`lower-*.f64`
1 767×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	222
0	64	218
1	264	218
2	1941	205
0	8521	205

Stop Event

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

Counts

19 → 1 801

Calls

Call 1

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

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

eval408.0ms (3.9%)

Memory: 33.3MiB live, 684.5MiB allocated
Compiler: Compiled 86 564 to 6 096 computations (93% saved)

prune517.0ms (5%)

Memory

-43.0MiB live, 581.0MiB allocated

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	2 803	21	2 824
Fresh	11	3	14
Picked	3	2	5
Done	0	0	0
Total	2 817	26	2 843

Accuracy

92.2%

Counts

2 843 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.0%	(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)))
▶	32.0%	(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a))
	22.4%	(/.f64 (fma.f64 b b (fma.f64 (.f64 c #s(literal 4 binary64)) a (.f64 b b))) (.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (.f64 #s(literal 2 binary64) a)))
	50.9%	(/.f64 (-.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (.f64 b b) a)) a)))) b) (*.f64 #s(literal 2 binary64) a))
	34.2%	(/.f64 (-.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) b) (*.f64 #s(literal 2 binary64) a))
	32.9%	(/.f64 (-.f64 (neg.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -2 binary64) (.f64 a (/.f64 c b)) b))) b) (.f64 #s(literal 2 binary64) a))
	43.1%	(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
	35.2%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) (/.f64 c (.f64 b b)) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a))
	34.9%	(/.f64 (-.f64 #s(literal -1 binary64) (.f64 (/.f64 a b) (/.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) a))) (.f64 (/.f64 a b) #s(literal 2 binary64)))
▶	52.0%	(/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
	26.3%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))))))
▶	2.5%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)))))
	15.2%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (.f64 (fma.f64 (/.f64 a (.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) c)) b)))
	15.0%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (*.f64 (/.f64 b c) #s(literal 1/2 binary64))))
▶	51.9%	(.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a))
	31.8%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (fma.f64 (fma.f64 a (/.f64 c (.f64 (.f64 b b) b)) (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)))
	32.9%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (neg.f64 b) a))
	33.0%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
	32.6%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (.f64 (-.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))
	34.3%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) (neg.f64 b)))
✓	36.8%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
	36.8%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
	27.3%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (/ (+ (* (* c (/ c (* b b))) a) c) (neg b)) (.f64 (-.f64 (/.f64 (neg.f64 a) (.f64 (.f64 b b) b)) (/.f64 #s(literal 1 binary64) (.f64 c b))) (*.f64 c c))))
	15.0%	#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 c b))
▶	2.5%	#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 b a))
	2.2%	#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (.f64 (neg.f64 b) (-.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal 1 binary64) a))))

Compiler

Compiled 871 to 530 computations (39.2% saved)

simplify125.0ms (1.2%)

Memory

4.5MiB live, 159.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))
cost-diff	0	(.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (*.f64 b b))))
cost-diff	512	(fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (*.f64 #s(literal -1/2 binary64) b)))
cost-diff	640	(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a))
cost-diff	0	(fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))
cost-diff	0	(+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b)
cost-diff	0	(.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a))
cost-diff	0	#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))
cost-diff	0	(-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)))
cost-diff	0	(/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))))
cost-diff	384	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)))))
cost-diff	0	(/.f64 b a)
cost-diff	0	#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 b a))
cost-diff	0	(fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))
cost-diff	0	(+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b)
cost-diff	0	(/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))

Rules

2 678×	`lower-fma.f32`
2 676×	`lower-fma.f64`
1 469×	`lower-*.f32`
1 461×	`lower-*.f64`
1 084×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	298
0	59	286
1	100	285
2	157	283
3	240	283
4	397	283
5	858	283
6	2260	283
7	5460	283
0	8423	283

Stop Event

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

Calls

Call 1

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

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

localize183.0ms (1.8%)

Memory

13.9MiB live, 236.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.015625	(fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))
accuracy	21.23044899039334	(fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (*.f64 #s(literal -1/2 binary64) b)))
accuracy	26.533060056239094	(sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))
accuracy	29.055534623828184	(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a))
accuracy	0.015625	(fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))
accuracy	3.6105287658310243	(.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (*.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a))
accuracy	12.57126188576104	(+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b)
accuracy	26.533060056239094	(sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))
accuracy	0.203125	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)))))
accuracy	4.941857844955865	(/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))))
accuracy	10.445699877345914	(-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)))
accuracy	40.80800444306352	#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))
accuracy	0	(/.f64 b a)
accuracy	40.28293513610232	#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 b a))
accuracy	0.015625	(fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))
accuracy	3.5636537658310243	(/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
accuracy	12.57126188576104	(+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b)
accuracy	26.533060056239094	(sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))

Samples

54.0ms	78×	1	valid
35.0ms	66×	2	valid
21.0ms	90×	0	valid
16.0ms	22×	3	valid

Compiler

Compiled 299 to 35 computations (88.3% saved)

Precisions

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

ival-mult: 47.0ms (54% of total)

ival-div: 12.0ms (13.8% of total)

adjust: 10.0ms (11.5% of total)

ival-add: 8.0ms (9.2% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

series45.0ms (0.4%)

Memory

13.4MiB live, 90.5MiB allocated

Counts

14 → 492

Calls

Call 1

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

Outputs
#s(alt (* -1 (/ b a)) (taylor 0 a) (#s(alt (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 b) (/ (* a c) b)) a) (taylor 0 a) (#s(alt (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) (taylor 0 a) (#s(alt (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) (taylor 0 a) (#s(alt (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf a) (#s(alt (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) (taylor inf a) (#s(alt (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) (taylor inf a) (#s(alt (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) (taylor inf a) (#s(alt (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor -inf a) (#s(alt (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor 0 c) (#s(alt (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor 0 c) (#s(alt (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf c) (#s(alt (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor -inf c) (#s(alt (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) (taylor -inf c) (#s(alt (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) (taylor -inf c) (#s(alt (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) (taylor -inf c) (#s(alt (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor 0 b) (#s(alt (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) (taylor 0 b) (#s(alt (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #<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 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor inf b) (#s(alt (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* b (- (/ c (pow b 2)) (/ 1 a))) (taylor inf b) (#s(alt (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) (taylor inf b) (#s(alt (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) (taylor inf b) (#s(alt (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor -inf b) (#s(alt (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) (taylor -inf b) (#s(alt (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) (taylor -inf b) (#s(alt (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) (taylor -inf b) (#s(alt (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor 0 a) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ (* a c) b)) (* 2 b)) (taylor 0 a) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) (taylor 0 a) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 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 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf a) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) (taylor inf a) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) (taylor inf a) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) (taylor inf a) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -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)))))) (taylor -inf a) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor 0 c) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (+ (* -2 (/ (* a c) b)) (* 2 b)) (taylor 0 c) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) (taylor inf c) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) (taylor inf c) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) (taylor inf c) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf c) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) (taylor -inf c) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -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)))))) (taylor -inf c) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor 0 b) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (+ b (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) (taylor 0 b) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (+ (* 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))) (taylor 0 b) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor inf b) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) (taylor inf b) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* 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 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* a c) b)) (taylor -inf b) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) (taylor -inf b) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -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)) (taylor -inf b) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt (* -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)) (taylor -inf b) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) (taylor 0 a) (#s(alt (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (+ 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 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf a) (#s(alt (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* 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 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* 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 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* 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 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) #<representation binary64>) () ())) ())
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#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ (* -1 b) (/ (* a c) b)) a) (taylor 0 a) (#s(alt (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) (taylor 0 a) (#s(alt (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) (taylor 0 a) (#s(alt (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf a) (#s(alt (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) (taylor inf a) (#s(alt (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) (taylor inf a) (#s(alt (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor 0 c) (#s(alt (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor 0 c) (#s(alt (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) (taylor 0 c) (#s(alt (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) (taylor 0 c) (#s(alt (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf c) (#s(alt (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) (taylor inf c) (#s(alt (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) (taylor inf c) (#s(alt (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) (taylor inf c) (#s(alt (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor -inf c) (#s(alt (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) (taylor -inf c) (#s(alt (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) (taylor -inf c) (#s(alt (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) (taylor -inf c) (#s(alt (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor 0 b) (#s(alt (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) (taylor 0 b) (#s(alt (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) #<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 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) (taylor 0 b) (#s(alt (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor inf b) (#s(alt (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* b (- (/ c (pow b 2)) (/ 1 a))) (taylor inf b) (#s(alt (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) (taylor inf b) (#s(alt (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) (taylor inf b) (#s(alt (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor -inf b) (#s(alt (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) (taylor -inf b) (#s(alt (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) (taylor -inf b) (#s(alt (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) (taylor -inf b) (#s(alt (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) (patch (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor 0 a) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) (patch (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 b) (/ (* a c) b)) a) (taylor 0 a) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) (patch (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) (taylor 0 a) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) (patch (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) (taylor 0 a) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) (patch (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf a) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) (patch (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) (taylor inf a) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) (patch (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) (patch (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) (patch (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) (patch (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) (patch (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) (patch (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) (patch (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) (patch (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) (patch (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) (patch (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) (patch (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf c) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) (patch (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) (taylor inf c) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) (patch (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) (taylor inf c) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) (patch (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) (taylor inf c) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) (patch (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor -inf c) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) (patch (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) (patch (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) (taylor -inf c) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) (patch (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (.f64 a a)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (* a b)) (* c (+ (* c (+ (* 2 (/ (* (pow a 4) c) (pow b 5))) (/ (pow a 3) (pow b 3)))) (/ (pow a 2) b)))) (taylor 0 c) (#s(alt (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (patch (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ())
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#s(alt (* c (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (* -1/2 (/ (* a b) c)))) (taylor inf c) (#s(alt (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (patch (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* -1/2 (/ (* a b) c)) (* -1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4))))))) (taylor inf c) (#s(alt (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (patch (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* -1/2 (/ (* a b) c)) (+ (* -1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) (taylor inf c) (#s(alt (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (patch (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (* (pow a 3) c)) (sqrt -1)) (taylor -inf c) (#s(alt (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (patch (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4))))) (taylor 0 b) (#s(alt (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) (patch (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) (taylor 0 b) (#s(alt (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) (patch (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))))) (taylor 0 b) (#s(alt (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) (patch (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 b) (taylor inf b) (#s(alt (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) (patch (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* b (- (/ (* a c) (pow b 2)) 1/2)) (taylor inf b) (#s(alt (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) (patch (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* b (- (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1/2)) (taylor inf b) (#s(alt (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) (patch (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* b (- (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 1/2)) (taylor inf b) (#s(alt (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) (patch (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* 1/2 b) (taylor -inf b) (#s(alt (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) (patch (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (/ (* a c) (pow b 2)) 1/2))) (taylor -inf b) (#s(alt (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) (patch (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1/2))) (taylor -inf b) (#s(alt (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) (patch (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 1/2))) (taylor -inf b) (#s(alt (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) (patch (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) #<representation binary64>) () ())) ())

Calls

123 calls:

Time	Variable		Point	Expression
7.0ms	c	@	-inf	(* -1/2 (sqrt (+ (* (* -4 a) c) (* b b))))
1.0ms	a	@	-inf	(* -1/2 (sqrt (+ (* (* -4 a) c) (* b b))))
1.0ms	b	@	0	(* -1/2 (sqrt (+ (* (* -4 a) c) (* b b))))
0.0ms	c	@	inf	(/ (+ (* (* -1/2 (sqrt (+ (* (* -4 a) c) (* b b)))) a) (* a (* -1/2 b))) (* a a))
0.0ms	c	@	-inf	(/ (+ (* (* -1/2 (sqrt (+ (* (* -4 a) c) (* b b)))) a) (* a (* -1/2 b))) (* a a))

simplify453.0ms (4.3%)

Memory

-3.7MiB live, 350.9MiB allocated

Algorithm

1×	egg-herbie

Rules

3 989×	`lower-fma.f64`
3 989×	`lower-fma.f32`
3 833×	`lower-*.f64`
3 833×	`lower-*.f32`
2 774×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1210	11913
1	4086	11689
0	8615	11158

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 486

Calls

Call 1

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

Outputs
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 (*.f64 b b) b)) (/.f64 c b)) a (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 (.f64 c c) c) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 (.f64 c c) (.f64 (.f64 b b) b))) a (/.f64 c b)) a (neg.f64 b)) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 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))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c)))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
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b
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(* (sqrt (* a c)) (sqrt -4))
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b
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(* (sqrt (* a c)) (sqrt -4))
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b
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(.f64 (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c))) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/8 binary64))) (neg.f64 a))
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1))))))))
(.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 (*.f64 c c) c))))) #s(literal 1/128 binary64)))) (neg.f64 a))
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))))))))
(.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (fma.f64 #s(literal -1/1024 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 7 binary64)) (pow.f64 c #s(literal 5 binary64)))))) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 (.f64 c c) c))))) #s(literal 1/128 binary64))))) (neg.f64 a))
(* -1/2 b)
(*.f64 #s(literal -1/2 binary64) b)
(+ (* -1/2 b) (/ (* a c) b))
(fma.f64 #s(literal -1/2 binary64) b (/.f64 (*.f64 c a) b))
(+ (* -1/2 b) (* c (+ (/ a b) (/ (* (pow a 2) c) (pow b 3)))))
(fma.f64 (fma.f64 (.f64 a a) (/.f64 c (.f64 (.f64 b b) b)) (/.f64 a b)) c (.f64 #s(literal -1/2 binary64) b))
(+ (* -1/2 b) (* c (+ (* c (+ (* 2 (/ (* (pow a 3) c) (pow b 5))) (/ (pow a 2) (pow b 3)))) (/ a b))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 2 binary64) (/.f64 (.f64 a a) (.f64 (.f64 b b) b))) c (/.f64 a b)) c (*.f64 #s(literal -1/2 binary64) b))
(* -1/2 (* (sqrt (* a c)) (sqrt -4)))
(.f64 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/2 binary64))
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4))))))
(.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) c) a)))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (.f64 (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/2 binary64))) c)
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -4 binary64)) (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) c) a)))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) (.f64 (.f64 a a) a)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) #s(literal 1/16 binary64)))) c)
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -4 binary64)) (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) c) a)))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) (.f64 (.f64 a a) a)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) #s(literal 1/16 binary64))))) c)
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))))))
(.f64 (neg.f64 c) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) c) a))) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/8 binary64))))
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1))))))))
(.f64 (neg.f64 c) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) c) a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) (.f64 (.f64 a a) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/128 binary64)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))))))))
(.f64 (neg.f64 c) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) c) a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (fma.f64 #s(literal -1/1024 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 a #s(literal 5 binary64))))) (.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) (.f64 (.f64 a a) a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/128 binary64))))))
(* -1/2 (* (sqrt (* a c)) (sqrt -4)))
(.f64 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/2 binary64))
(+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))))
(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 -4 binary64))) (.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/2 binary64)))
(+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 c c) c))))) (/.f64 (.f64 b b) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/4 binary64))) (.f64 b b) (.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/2 binary64)))
(+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/32 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 5 binary64)))))) (/.f64 (.f64 b b) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) (.f64 (.f64 c c) c)))) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) #s(literal 1/16 binary64))) (.f64 b b) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/4 binary64))) (.f64 b b) (.f64 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/2 binary64)))
(* -1/2 b)
(*.f64 #s(literal -1/2 binary64) b)
(* b (- (/ (* a c) (pow b 2)) 1/2))
(.f64 (fma.f64 a (/.f64 c (.f64 b b)) #s(literal -1/2 binary64)) b)
(* b (- (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1/2))
(.f64 (fma.f64 a (/.f64 c (.f64 b b)) (fma.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b #s(literal 4 binary64))) #s(literal -1/2 binary64))) b)
(* b (- (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 1/2))
(.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) (/.f64 (.f64 (.f64 c c) c) (pow.f64 b #s(literal 6 binary64)))) #s(literal 2 binary64) (fma.f64 a (/.f64 c (.f64 b b)) (fma.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) #s(literal -1/2 binary64)))) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* -1 (* b (- (/ (* a c) (pow b 2)) 1/2)))
(.f64 (fma.f64 a (/.f64 c (.f64 b b)) #s(literal -1/2 binary64)) (neg.f64 b))
(* -1 (* b (- (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1/2)))
(.f64 (fma.f64 a (/.f64 c (.f64 b b)) (fma.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b #s(literal 4 binary64))) #s(literal -1/2 binary64))) (neg.f64 b))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 1/2)))
(.f64 (fma.f64 (.f64 (.f64 (.f64 a a) a) (/.f64 (.f64 (.f64 c c) c) (pow.f64 b #s(literal 6 binary64)))) #s(literal 2 binary64) (fma.f64 a (/.f64 c (.f64 b b)) (fma.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) #s(literal -1/2 binary64)))) (neg.f64 b))

rewrite244.0ms (2.3%)

Memory

14.6MiB live, 331.1MiB allocated

Rules

3 139×	`lower-fma.f32`
3 137×	`lower-fma.f64`
2 183×	`lower-*.f32`
2 175×	`lower-*.f64`
2 013×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	196
0	59	191
1	230	189
2	1421	189
0	8405	187

Stop Event

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

Counts

14 → 687

Calls

Call 1

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

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

eval302.0ms (2.9%)

Memory: 0.8MiB live, 321.1MiB allocated
Compiler: Compiled 51 854 to 3 609 computations (93% saved)

prune437.0ms (4.2%)

Memory

-0.1MiB live, 487.8MiB allocated

Pruning

35 alts after pruning (31 fresh and 4 done)

	Pruned	Kept	Total
New	1 556	18	1 574
Fresh	6	13	19
Picked	3	2	5
Done	0	2	2
Total	1 565	35	1 600

Accuracy

92.2%

Counts

1 600 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.0%	(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)))
▶	22.5%	(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (*.f64 a a))
	2.5%	(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)))))
	43.1%	(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
	34.9%	(/.f64 (-.f64 #s(literal -1 binary64) (.f64 (/.f64 a b) (/.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) a))) (.f64 (/.f64 a b) #s(literal 2 binary64)))
	16.4%	(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (-.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) (.f64 (/.f64 #s(literal -1/2 binary64) a) b)) (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (.f64 (/.f64 #s(literal -1/2 binary64) a) b)))))
▶	51.8%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b) (*.f64 #s(literal -2 binary64) a))
✓	52.0%	(/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
	34.6%	(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 (fma.f64 (.f64 a (/.f64 c (.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (.f64 b b)))) b) (*.f64 #s(literal -2 binary64) a))
	50.9%	(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (.f64 b b) a)) a))) b) (*.f64 #s(literal -2 binary64) a))
	34.2%	(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))) b) (*.f64 #s(literal -2 binary64) a))
	31.8%	(/.f64 (+.f64 #s(approx (sqrt (+ (* (* -4 a) c) (* b b))) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 c a) b) b)) b) (.f64 #s(literal -2 binary64) a))
	20.8%	(/.f64 #s(approx (+ (* (* -1/2 (sqrt (+ (* (* -4 a) c) (* b b)))) a) (* a (* -1/2 b))) (.f64 (neg.f64 a) b)) (.f64 a a))
	26.3%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))))))
	2.5%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b #s(approx (sqrt (+ ( -4 (* c a)) (* b b))) (neg.f64 b)))) a))
	1.5%	(/.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 (/.f64 (-.f64 b #s(approx (sqrt (+ ( -4 (* c a)) (* b b))) (neg.f64 b))) a)) #s(literal -1 binary64))))
	15.2%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (.f64 (fma.f64 (/.f64 a (.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) c)) b)))
▶	15.0%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (*.f64 (/.f64 b c) #s(literal 1/2 binary64))))
	33.1%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 a (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 #s(literal -1/2 binary64) b))))
	34.1%	(.f64 (+.f64 (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))) b) (/.f64 #s(literal -1/2 binary64) a))
	28.7%	(.f64 #s(approx (+ (sqrt (+ ( (* -4 a) c) (* b b))) b) (.f64 #s(literal 2 binary64) (/.f64 (.f64 c a) b))) (/.f64 #s(literal -1/2 binary64) a))
	32.8%	(.f64 #s(approx (+ (sqrt (+ ( (* -4 a) c) (* b b))) b) (*.f64 #s(literal 2 binary64) b)) (/.f64 #s(literal -1/2 binary64) a))
	31.8%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (fma.f64 (fma.f64 a (/.f64 c (.f64 (.f64 b b) b)) (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)))
	32.9%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (neg.f64 b) a))
	33.0%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
	32.6%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (.f64 (-.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))
▶	34.3%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) (neg.f64 b)))
✓	36.8%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
	36.8%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
	27.3%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (/ (+ (* (* c (/ c (* b b))) a) c) (neg b)) (.f64 (-.f64 (/.f64 (neg.f64 a) (.f64 (.f64 b b) b)) (/.f64 #s(literal 1 binary64) (.f64 c b))) (*.f64 c c))))
▶	15.0%	#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 c b))
✓	2.5%	#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 b a))
	2.5%	#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))))
	2.5%	#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
	6.1%	#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))

Compiler

Compiled 1 208 to 692 computations (42.7% saved)

simplify138.0ms (1.3%)

Memory

13.4MiB live, 127.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))
cost-diff	0	(.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))))
cost-diff	512	(fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) a (.f64 a (.f64 #s(literal -1/2 binary64) b)))
cost-diff	640	(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (*.f64 a a))
cost-diff	0	(/.f64 c (*.f64 b b))
cost-diff	0	(fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c)
cost-diff	0	(/.f64 (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) (neg.f64 b))
cost-diff	0	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) (neg.f64 b)))
cost-diff	0	(/.f64 b c)
cost-diff	0	(*.f64 (/.f64 b c) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (*.f64 (/.f64 b c) #s(literal 1/2 binary64)))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (*.f64 (/.f64 b c) #s(literal 1/2 binary64))))
cost-diff	0	(/.f64 c b)
cost-diff	0	#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 c b))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))
cost-diff	0	(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b)
cost-diff	0	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b) (*.f64 #s(literal -2 binary64) a))

Rules

2 428×	`lower-fma.f32`
2 425×	`lower-fma.f64`
1 380×	`lower-*.f32`
1 369×	`lower-*.f64`
844×	`times-frac`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	60	366
0	91	357
1	158	355
2	276	351
3	520	348
4	912	346
5	1829	346
6	4534	346
7	6764	346
0	8118	346

Stop Event

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

Calls

Call 1

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

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

localize269.0ms (2.6%)

Memory

-15.8MiB live, 468.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	21.23044899039334	(fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) a (.f64 a (.f64 #s(literal -1/2 binary64) b)))
accuracy	26.533060056239123	(sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))
accuracy	29.055534623828184	(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (*.f64 a a))
accuracy	39.511350262659455	#s(approx (+ (* (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))
accuracy	0.5078934377937256	(/.f64 (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) (neg.f64 b))
accuracy	3.8881247406209485	(fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c)
accuracy	8.592842974087102	(/.f64 c (*.f64 b b))
accuracy	40.50647180941762	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) (neg.f64 b)))
accuracy	0	(/.f64 b c)
accuracy	0.0078125	(*.f64 (/.f64 b c) #s(literal 1/2 binary64))
accuracy	0.203125	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (*.f64 (/.f64 b c) #s(literal 1/2 binary64))))
accuracy	42.908917308087844	#s(approx (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (*.f64 (/.f64 b c) #s(literal 1/2 binary64)))
accuracy	0	(/.f64 c b)
accuracy	43.09026160393085	#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 c b))
accuracy	1.1567575455423982	(/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))
accuracy	3.5636537658310243	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b) (*.f64 #s(literal -2 binary64) a))
accuracy	12.57126188576104	(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b)
accuracy	25.19789329016301	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))

Samples

76.0ms	76×	2	valid
50.0ms	90×	0	valid
47.0ms	68×	1	valid
22.0ms	22×	3	valid

Compiler

Compiled 318 to 55 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-add: 36.0ms (26.5% of total)

ival-mult: 32.0ms (23.6% of total)

adjust: 25.0ms (18.4% of total)

ival-div: 23.0ms (17% of total)

ival-sqrt: 12.0ms (8.8% of total)

ival-sub: 6.0ms (4.4% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series96.0ms (0.9%)

Memory

14.3MiB live, 125.1MiB allocated

Counts

20 → 672

Calls

Call 1

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

Outputs
#s(alt (* -1 (/ b a)) (taylor 0 c) (#s(alt (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor 0 c) (#s(alt (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf c) (#s(alt (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor -inf c) (#s(alt (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) (taylor -inf c) (#s(alt (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) (taylor -inf c) (#s(alt (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) (taylor -inf c) (#s(alt (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ b a)) (taylor 0 a) (#s(alt (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 b) (/ (* a c) b)) a) (taylor 0 a) (#s(alt (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) (taylor 0 a) (#s(alt (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b) (.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b) (.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) (taylor 0 a) (#s(alt (/.f64 (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) (neg.f64 b)) (patch (/.f64 (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) (neg.f64 b)) #<representation binary64>) () ())) ())
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#s(alt (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) (neg.f64 b)) (patch (/.f64 (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) (neg.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) (neg.f64 b)) (patch (/.f64 (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) (neg.f64 b)) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) (taylor inf a) (#s(alt (/.f64 (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) (neg.f64 b)) (patch (/.f64 (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) (neg.f64 b)) #<representation binary64>) () ())) ())
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#s(alt (/ (* a (pow c 2)) (pow b 2)) (taylor inf c) (#s(alt (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) (patch (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) #<representation binary64>) () ())) ())
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#s(alt (/ (* a (pow c 2)) (pow b 2)) (taylor -inf c) (#s(alt (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) (patch (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) #<representation binary64>) () ())) ())
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#s(alt (/ (* a (pow c 2)) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) (patch (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) (patch (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) (patch (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2)) (taylor 0 b) (#s(alt (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) (patch (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) #<representation binary64>) () ())) ())
#s(alt c (taylor inf b) (#s(alt (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) (patch (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) #<representation binary64>) () ())) ())
#s(alt (+ c (/ (* a (pow c 2)) (pow b 2))) (taylor inf b) (#s(alt (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) (patch (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) #<representation binary64>) () ())) ())
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#s(alt (+ c (/ (* a (pow c 2)) (pow b 2))) (taylor inf b) (#s(alt (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) (patch (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) #<representation binary64>) () ())) ())
#s(alt c (taylor -inf b) (#s(alt (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) (patch (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) #<representation binary64>) () ())) ())
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#s(alt (+ c (/ (* a (pow c 2)) (pow b 2))) (taylor -inf b) (#s(alt (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) (patch (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) #<representation binary64>) () ())) ())
#s(alt (+ c (/ (* a (pow c 2)) (pow b 2))) (taylor -inf b) (#s(alt (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) (patch (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) #<representation binary64>) () ())) ())
#s(alt c (taylor 0 a) (#s(alt (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) (patch (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) #<representation binary64>) () ())) ())
#s(alt (+ c (/ (* a (pow c 2)) (pow b 2))) (taylor 0 a) (#s(alt (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) (patch (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) #<representation binary64>) () ())) ())
#s(alt (+ c (/ (* a (pow c 2)) (pow b 2))) (taylor 0 a) (#s(alt (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) (patch (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) #<representation binary64>) () ())) ())
#s(alt (+ c (/ (* a (pow c 2)) (pow b 2))) (taylor 0 a) (#s(alt (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) (patch (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) #<representation binary64>) () ())) ())
#s(alt (/ (* a (pow c 2)) (pow b 2)) (taylor inf a) (#s(alt (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) (patch (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) #<representation binary64>) () ())) ())
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#s(alt (* a (+ (/ c a) (/ (pow c 2) (pow b 2)))) (taylor inf a) (#s(alt (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) (patch (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) #<representation binary64>) () ())) ())
#s(alt (* a (+ (/ c a) (/ (pow c 2) (pow b 2)))) (taylor inf a) (#s(alt (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) (patch (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) #<representation binary64>) () ())) ())
#s(alt (/ (* a (pow c 2)) (pow b 2)) (taylor -inf a) (#s(alt (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) (patch (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) (patch (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) (patch (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) #<representation binary64>) () ())) ())
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#s(alt (* (pow a 2) (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))) (taylor inf a) (#s(alt (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (patch (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1 (* a b)) (* c (+ (* c (+ (* 2 (/ (* (pow a 4) c) (pow b 5))) (/ (pow a 3) (pow b 3)))) (/ (pow a 2) b)))) (taylor 0 c) (#s(alt (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (patch (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (taylor inf c) (#s(alt (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (patch (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (* -1/2 (/ (* a b) c)))) (taylor inf c) (#s(alt (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) (patch (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) a (.f64 a (.f64 #s(literal -1/2 binary64) b))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) (taylor 0 a) (#s(alt (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) (patch (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) (taylor 0 a) (#s(alt (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) (patch (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) #<representation binary64>) () ())) ())
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#s(alt (* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) (taylor inf a) (#s(alt (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) (patch (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) (taylor inf a) (#s(alt (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) (patch (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) (taylor inf a) (#s(alt (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) (patch (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))))) (taylor -inf a) (#s(alt (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) (patch (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))))))) (taylor -inf a) (#s(alt (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) (patch (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1))))))))) (taylor -inf a) (#s(alt (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) (patch (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 b) (taylor 0 c) (#s(alt (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) (patch (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1/2 b) (* c (+ (/ a b) (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) (patch (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/2 b) (* c (+ (* c (+ (* 2 (/ (* (pow a 3) c) (pow b 5))) (/ (pow a 2) (pow b 3)))) (/ a b)))) (taylor 0 c) (#s(alt (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) (patch (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) #<representation binary64>) () ())) ())
#s(alt (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (taylor inf c) (#s(alt (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) (patch (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))))) (taylor inf c) (#s(alt (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) (patch (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) (taylor inf c) (#s(alt (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) (patch (.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) (taylor -inf c) (#s(alt #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (patch #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) (taylor -inf c) (#s(alt #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (patch #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) (taylor -inf c) (#s(alt #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (patch #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (* -4 (* a c)) (taylor 0 b) (#s(alt #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (patch #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 b) (#s(alt #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (patch #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 b) (#s(alt #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (patch #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 b) (#s(alt #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (patch #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (patch #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (patch #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (patch #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor inf b) (#s(alt #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (patch #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (patch #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor -inf b) (#s(alt #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (patch #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor -inf b) (#s(alt #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (patch #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) (taylor -inf b) (#s(alt #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) (patch #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a))) #<representation binary64>) () ())) ())

Calls

168 calls:

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

simplify289.0ms (2.8%)

Memory

-2.6MiB live, 417.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4 320×	`lower-fma.f64`
4 320×	`lower-fma.f32`
3 233×	`lower-*.f64`
3 233×	`lower-*.f32`
2 729×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1469	14391
1	4913	14078
0	8358	13435

Stop Event

1×	iter limit
1×	node limit

Counts

672 → 662

Calls

Call 1

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

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

rewrite234.0ms (2.2%)

Memory

3.8MiB live, 310.0MiB allocated

Rules

2 450×	`lower-*.f32`
2 439×	`lower-*.f64`
2 357×	`lower-/.f32`
2 348×	`lower-/.f64`
1 886×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	303
0	91	294
1	355	278
2	2280	278
0	8573	276

Stop Event

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

Counts

20 → 722

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) a))
(.f64 (/.f64 (-.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (.f64 b b)) (neg.f64 a)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)) #s(literal 2 binary64)))
(.f64 (/.f64 (-.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (.f64 b b)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))))
(.f64 (/.f64 (-.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (.f64 b b)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)))
(.f64 (/.f64 (-.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (.f64 b b)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)) (neg.f64 a)))
(.f64 (/.f64 (-.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (.f64 b b)) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)) a))
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(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a (-.f64 (.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) b))) (.f64 (.f64 a (fma.f64 (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) b))) (.f64 a (-.f64 (.f64 (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) a) (.f64 (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) a)) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) b) a) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) b) a) (.f64 (.f64 #s(literal -1/2 binary64) a) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))))))) (fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) a) (.f64 (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) a)) (.f64 (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) a)) #s(literal -1/8 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 a a) a)) (.f64 (.f64 b b) b)))))
(fma.f64 (.f64 a b) #s(literal -1/2 binary64) (.f64 (.f64 #s(literal -1/2 binary64) a) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c)))))
(fma.f64 (.f64 (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) a) #s(literal -1/2 binary64) (.f64 (.f64 #s(literal -1/2 binary64) b) a))
(fma.f64 (.f64 #s(literal -1/2 binary64) a) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) (.f64 (.f64 #s(literal -1/2 binary64) b) a))
(fma.f64 (.f64 #s(literal -1/2 binary64) a) b (.f64 (.f64 #s(literal -1/2 binary64) a) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c)))))
(fma.f64 (.f64 #s(literal -1/2 binary64) b) a (.f64 (.f64 #s(literal -1/2 binary64) a) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c)))))
(fma.f64 (.f64 (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) #s(literal -1/2 binary64)) a (.f64 (.f64 #s(literal -1/2 binary64) b) a))
(fma.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) (.f64 #s(literal -1/2 binary64) a) (.f64 (*.f64 #s(literal -1/2 binary64) b) a))
(fma.f64 #s(literal -1/2 binary64) (.f64 b a) (.f64 (.f64 #s(literal -1/2 binary64) a) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c)))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) a) (.f64 (.f64 #s(literal -1/2 binary64) b) a))
(fma.f64 b (.f64 #s(literal -1/2 binary64) a) (.f64 (.f64 #s(literal -1/2 binary64) a) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c)))))
(fma.f64 a (.f64 #s(literal -1/2 binary64) b) (.f64 (.f64 #s(literal -1/2 binary64) a) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c)))))
(fma.f64 a (.f64 (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) #s(literal -1/2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) b) a))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) b) a) a) (.f64 #s(literal -1/2 binary64) b)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) b) a) (.f64 (.f64 #s(literal -1/2 binary64) a) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c)))))) (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) a) (.f64 (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) a)) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) b) a) (.f64 (.f64 #s(literal -1/2 binary64) a) (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c)))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) a) (.f64 (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) a)) #s(literal 1/4 binary64)) (.f64 a (-.f64 (.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) b)))) (/.f64 (.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) b) a) a) (.f64 #s(literal -1/2 binary64) b)) (.f64 a (-.f64 (.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) b)))))
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) a) (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c)))) (.f64 (.f64 #s(literal -1/2 binary64) b) a))
(+.f64 (.f64 (.f64 #s(literal -1/2 binary64) b) a) (.f64 (.f64 #s(literal -1/2 binary64) a) (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c)))))
(.f64 (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) #s(literal -1/2 binary64))
(.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))))
(.f64 (pow.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c)) #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c)))
(exp.f64 (.f64 (log.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b)) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b)) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c)) (.f64 (.f64 (neg.f64 b) b) (.f64 b b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c)) (.f64 (.f64 (neg.f64 b) b) (.f64 b b)))) (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 a a) a)) (.f64 (.f64 c c) c) (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) c) a) (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b)) (.f64 (.f64 (.f64 b b) b) b))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 a a) a)) (.f64 (.f64 c c) c) (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c)) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal -4 binary64) a) c))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 a a) a)) (.f64 (.f64 c c) c) (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b)))) (fma.f64 (.f64 (.f64 #s(literal 4 binary64) c) a) (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b)) (.f64 (.f64 (.f64 b b) b) b)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 64 binary64) (.f64 (.f64 a a) a)) (.f64 (.f64 c c) c) (.f64 (.f64 (.f64 (.f64 b b) b) b) (.f64 b b)))) (fma.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c)) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal -4 binary64) a) c)))))
(.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) #s(literal -1 binary64))
(pow.f64 (.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) #s(literal 1 binary64))
(pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))
#s(approx (+ (* (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))

eval277.0ms (2.7%)

Memory: -10.2MiB live, 251.2MiB allocated
Compiler: Compiled 39 886 to 3 858 computations (90.3% saved)

prune358.0ms (3.4%)

Memory

-2.6MiB live, 361.3MiB allocated

Pruning

36 alts after pruning (30 fresh and 6 done)

	Pruned	Kept	Total
New	1 375	9	1 384
Fresh	5	21	26
Picked	3	2	5
Done	0	4	4
Total	1 383	36	1 419

Accuracy

93.2%

Counts

1 419 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.0%	(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a)))
	2.5%	(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)))))
	15.6%	(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 b a)) (.f64 #s(literal 1/2 binary64) (/.f64 b a))) (/.f64 b (.f64 #s(literal -2 binary64) a))) (.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 b a)) (.f64 #s(literal 1/2 binary64) (/.f64 b a)) (fma.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (.f64 (/.f64 b (.f64 #s(literal -2 binary64) a)) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a))))))
	43.1%	(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
	34.9%	(/.f64 (-.f64 #s(literal -1 binary64) (.f64 (/.f64 a b) (/.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) a))) (.f64 (/.f64 a b) #s(literal 2 binary64)))
	21.1%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* c (* a -4)) (* b b))) (/.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 (.f64 c c) a)) #s(literal -1/16 binary64) (/.f64 #s(literal -1/4 binary64) c)) a)))) b) (.f64 #s(literal -2 binary64) a))
	31.3%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* c (* a -4)) (* b b))) (/.f64 #s(literal -1/4 binary64) (.f64 c a))))) b) (.f64 #s(literal -2 binary64) a))
✓	52.0%	(/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
	50.9%	(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (.f64 b b) a)) a))) b) (*.f64 #s(literal -2 binary64) a))
	34.2%	(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))) b) (*.f64 #s(literal -2 binary64) a))
	32.9%	(/.f64 (+.f64 #s(approx (/ 1 (sqrt (/ 1 (+ (* c (* a -4)) (* b b))))) (fma.f64 #s(literal -2 binary64) (.f64 a (/.f64 c b)) b)) b) (.f64 #s(literal -2 binary64) a))
	22.5%	(/.f64 (.f64 a (fma.f64 (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) #s(literal -1/2 binary64) (.f64 #s(literal -1/2 binary64) b))) (.f64 a a))
	20.8%	(/.f64 #s(approx (+ (* (* -1/2 (sqrt (+ (* (* -4 a) c) (* b b)))) a) (* a (* -1/2 b))) (.f64 (neg.f64 a) b)) (.f64 a a))
	26.3%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))))))
	2.5%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b #s(approx (sqrt (+ ( -4 (* c a)) (* b b))) (neg.f64 b)))) a))
	1.5%	(/.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 (/.f64 (-.f64 b #s(approx (sqrt (+ ( -4 (* c a)) (* b b))) (neg.f64 b))) a)) #s(literal -1 binary64))))
	15.2%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (.f64 (fma.f64 (/.f64 a (.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) c)) b)))
	22.5%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 a (fma.f64 (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 (.f64 #s(literal -4 binary64) a) c))) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) b))))
	34.1%	(.f64 (+.f64 (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))) b) (/.f64 #s(literal -1/2 binary64) a))
	28.7%	(.f64 #s(approx (+ (sqrt (+ ( (* -4 a) c) (* b b))) b) (.f64 #s(literal 2 binary64) (/.f64 (.f64 c a) b))) (/.f64 #s(literal -1/2 binary64) a))
	32.8%	(.f64 #s(approx (+ (sqrt (+ ( (* -4 a) c) (* b b))) b) (*.f64 #s(literal 2 binary64) b)) (/.f64 #s(literal -1/2 binary64) a))
	31.8%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (fma.f64 (fma.f64 a (/.f64 c (.f64 (.f64 b b) b)) (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)))
	32.9%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (/.f64 (neg.f64 b) a))
	33.0%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
	32.6%	#s(approx (/ (- (neg (sqrt (+ (* -4 (* c a)) (* b b)))) b) (* 2 a)) (.f64 (-.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b))
✓	34.3%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 c (.f64 b b)) (.f64 a c) c) (neg.f64 b)))
✓	36.8%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
	33.9%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) (fma.f64 (.f64 a c) (/.f64 c (.f64 b b)) c))))
	36.8%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c))
✓	15.0%	#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 c b))
✓	2.5%	#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 b a))
	15.0%	#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 #s(literal 1 binary64) (/.f64 b c)))
	15.0%	#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (*.f64 (/.f64 #s(literal 1 binary64) b) c))
	2.5%	#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))))
	2.5%	#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
	6.1%	#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))

Compiler

Compiled 1 832 to 636 computations (65.3% saved)

regimes108.0ms (1%)

Memory

37.3MiB live, 185.9MiB allocated

Counts

68 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

36.0ms	a
27.0ms	c
21.0ms	b
20.0ms	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
52.0%	1	`a`
89.1%	3	`b`
55.5%	3	`c`
74.9%	5	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes39.0ms (0.4%)

Memory

-6.2MiB live, 29.9MiB allocated

Counts

34 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

37.0ms

Results

Accuracy	Segments	Branch
88.9%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes19.0ms (0.2%)

Memory

-13.4MiB live, 27.1MiB allocated

Counts

31 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
85.0%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated

Counts

22 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
84.9%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes290.0ms (2.8%)

Memory

-105.9MiB live, 52.0MiB allocated

Counts

21 → 2

Calls

Call 1

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

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

Calls

2 calls:

280.0ms	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))
9.0ms	b

Results

Accuracy	Segments	Branch
49.8%	4	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
67.6%	2	`b`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes5.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
67.3%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
36.8%	1	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
36.8%	1	`a`
36.8%	1	`c`
36.8%	1	`b`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes7.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
15.0%	1	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
15.0%	1	`b`
15.0%	1	`a`
15.0%	1	`c`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes9.0ms (0.1%)

Memory

-26.0MiB live, 16.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
2.5%	1	`b`
2.5%	1	`c`
2.5%	1	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
2.5%	1	`a`

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch53.0ms (0.5%)

Memory

17.3MiB live, 98.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.9621186644774963e+113	7.918503605884199e+115
33.0ms	-6.092515850879645e-42	-2.1556244419923033e-49

Samples

16.0ms	198×	0	valid
13.0ms	40×	1	valid
6.0ms	34×	2	valid
2.0ms	23×	0	invalid

Compiler

Compiled 523 to 351 computations (32.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 15.0ms (53.7% of total)

ival-sub: 4.0ms (14.3% of total)

ival-div: 3.0ms (10.7% of total)

ival-sqrt: 3.0ms (10.7% of total)

adjust: 2.0ms (7.2% of total)

ival-neg: 1.0ms (3.6% 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

3.4MiB live, 3.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.9621186644774963e+113	7.918503605884199e+115
1.0ms	-6.092515850879645e-42	-2.1556244419923033e-49

Compiler

Compiled 523 to 351 computations (32.9% saved)

bsearch67.0ms (0.6%)

Memory

-6.6MiB live, 71.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
31.0ms	1.9180383948974694e-48	1.7542862503122253e-43
31.0ms	-4.4759781658369555e-77	-5.143461800223345e-78

Samples

28.0ms	204×	0	valid
4.0ms	55×	0	invalid
3.0ms	17×	2	valid
3.0ms	19×	1	valid

Compiler

Compiled 440 to 299 computations (32% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-div: 15.0ms (50.5% of total)

ival-mult: 7.0ms (23.6% of total)

ival-sub: 3.0ms (10.1% of total)

ival-sqrt: 2.0ms (6.7% of total)

adjust: 1.0ms (3.4% of total)

ival-neg: 1.0ms (3.4% 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

4.0MiB live, 4.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.9180383948974694e-48	1.7542862503122253e-43
1.0ms	-4.4759781658369555e-77	-5.143461800223345e-78

Compiler

Compiled 440 to 299 computations (32% saved)

bsearch36.0ms (0.3%)

Memory

-7.0MiB live, 72.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
32.0ms	-4.9655760806168774e-300	4.65268169370194e-298

Samples

15.0ms	160×	0	valid
10.0ms	86×	0	invalid

Compiler

Compiled 233 to 150 computations (35.6% saved)

Precisions

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

ival-mult: 8.0ms (52.8% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-4.9655760806168774e-300	4.65268169370194e-298

Compiler

Compiled 203 to 140 computations (31% saved)

simplify12.0ms (0.1%)

Memory

-13.1MiB live, 25.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64`
8×	`+-commutative_binary64`
6×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	455
1	91	455
2	102	455
3	111	455
4	117	455
5	119	455

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -8424983333484575/26328072917139296674479506920917608079723773850137277813577744384 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 28499999999999998256192634906793101819141512694628885497869030649066326337424931133099084413202929035258701981679616 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -8424983333484575/26328072917139296674479506920917608079723773850137277813577744384 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 28499999999999998256192634906793101819141512694628885497869030649066326337424931133099084413202929035258701981679616 binary64)) (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -1303703024854071/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 4097692012860425/1606938044258990275541962092341162602522202993782792835301376 binary64)) (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))) b) (.f64 #s(literal -2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -1303703024854071/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 4097692012860425/1606938044258990275541962092341162602522202993782792835301376 binary64)) (.f64 (+.f64 (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))) b) (/.f64 #s(literal -1/2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 c b))
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 b a))

Outputs
(if (<=.f64 b #s(literal -8424983333484575/26328072917139296674479506920917608079723773850137277813577744384 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 28499999999999998256192634906793101819141512694628885497869030649066326337424931133099084413202929035258701981679616 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -8424983333484575/26328072917139296674479506920917608079723773850137277813577744384 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 28499999999999998256192634906793101819141512694628885497869030649066326337424931133099084413202929035258701981679616 binary64)) (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -8424983333484575/26328072917139296674479506920917608079723773850137277813577744384 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 28499999999999998256192634906793101819141512694628885497869030649066326337424931133099084413202929035258701981679616 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b)) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -1303703024854071/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 4097692012860425/1606938044258990275541962092341162602522202993782792835301376 binary64)) (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))) b) (.f64 #s(literal -2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -1303703024854071/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 4097692012860425/1606938044258990275541962092341162602522202993782792835301376 binary64)) (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -4 a) c) (* b b)) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (.f64 #s(literal -2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -1303703024854071/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 4097692012860425/1606938044258990275541962092341162602522202993782792835301376 binary64)) (.f64 (+.f64 (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 #s(literal -4 binary64) (.f64 c a)))) b) (/.f64 #s(literal -1/2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -1303703024854071/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 4097692012860425/1606938044258990275541962092341162602522202993782792835301376 binary64)) (.f64 (+.f64 (sqrt.f64 #s(approx (+ ( (* -4 a) c) (* b b)) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (/.f64 #s(literal -1/2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 c b))
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 b a))

soundness993.0ms (9.5%)

Memory

11.6MiB live, 737.4MiB allocated

Rules

4 934×	`lower-fma.f64`
4 934×	`lower-fma.f32`
3 992×	`lower-*.f64`
3 992×	`lower-*.f32`
3 989×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1145	12291
1	3743	12036
0	8221	11551
0	40	222
0	64	218
1	264	218
2	1941	205
0	8521	205
0	1210	11913
1	4086	11689
0	8615	11158
0	14	51
0	23	51
1	81	51
2	591	48
0	8093	44
0	545	3138
1	1718	3109
2	5758	3070
0	8120	2910

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
1×	iter limit
1×	node limit

Compiler

Compiled 611 to 263 computations (57% saved)

preprocess70.0ms (0.7%)

Memory: 14.6MiB live, 89.7MiB allocated
Compiler: Compiled 630 to 178 computations (71.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze167.0ms (1.6%)

sample1.5s (14.4%)

explain186.0ms (1.8%)

preprocess234.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify99.0ms (0.9%)

localize87.0ms (0.8%)

series58.0ms (0.6%)

simplify220.0ms (2.1%)

rewrite246.0ms (2.4%)

eval171.0ms (1.6%)

prune165.0ms (1.6%)

simplify259.0ms (2.5%)

localize195.0ms (1.9%)

series125.0ms (1.2%)

simplify244.0ms (2.3%)

rewrite362.0ms (3.5%)

eval408.0ms (3.9%)

prune517.0ms (5%)

simplify125.0ms (1.2%)

localize183.0ms (1.8%)

series45.0ms (0.4%)

simplify453.0ms (4.3%)

rewrite244.0ms (2.3%)

eval302.0ms (2.9%)

prune437.0ms (4.2%)

simplify138.0ms (1.3%)

localize269.0ms (2.6%)

series96.0ms (0.9%)

simplify289.0ms (2.8%)

rewrite234.0ms (2.2%)

eval277.0ms (2.7%)

prune358.0ms (3.4%)

regimes108.0ms (1%)

regimes39.0ms (0.4%)

regimes19.0ms (0.2%)

regimes8.0ms (0.1%)

regimes290.0ms (2.8%)

regimes5.0ms (0%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch53.0ms (0.5%)

bsearch2.0ms (0%)

bsearch67.0ms (0.6%)

bsearch2.0ms (0%)

bsearch36.0ms (0.3%)

bsearch1.0ms (0%)

simplify12.0ms (0.1%)

soundness993.0ms (9.5%)

preprocess70.0ms (0.7%)

end0.0ms (0%)

Profiling