Metrics for quadm (p42, negative)

analyze131.0ms (1.2%)

Memory

12.7MiB live, 207.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 19 to 16 computations (15.8% saved)

sample1.6s (13.8%)

Memory

46.2MiB live, 2 016.7MiB allocated

Samples

451.0ms	5 526×	0	valid
323.0ms	1 198×	2	valid
198.0ms	1 366×	1	valid
82.0ms	939×	0	invalid
58.0ms	166×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 845.0ms

ival-mult: 254.0ms (30.1% of total)

ival-sub: 201.0ms (23.8% of total)

adjust: 110.0ms (13% of total)

ival-sqrt: 108.0ms (12.8% of total)

ival-div: 106.0ms (12.5% of total)

ival-neg: 45.0ms (5.3% of total)

exact: 9.0ms (1.1% of total)

ival-true: 7.0ms (0.8% of total)

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

Bogosity

preprocess255.0ms (2.3%)

Memory

-16.6MiB live, 104.2MiB allocated

Algorithm

1×	egg-herbie

Rules

1 418×	`times-frac`
1 146×	`distribute-rgt-in`
1 120×	`lower-fma.f64`
1 120×	`lower-fma.f32`
974×	`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 b (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))

explain222.0ms (2%)

Memory

-18.1MiB live, 321.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
105	-	1	(8.23922803086917e-175 1.5171494168761902e-157 -2.329290452414055e-244)	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))`
59	-	1	(2.870285235716818e-104 -3.7410606066289925e-123 5.046857749715451e-144)	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`
23	-	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))`
1	-	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	99	0
↳	`(*.f64 b b)`	overflow	86
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	overflow	17
↳	`(*.f64 a c)`	overflow	17
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	overflow	99
`-.f64`	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`	cancellation	58	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	23	0
↳	`(*.f64 b b)`	underflow	38
↳	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`	underflow	42
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	underflow	43
↳	`(*.f64 a c)`	underflow	43
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	underflow	5
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))`	uflow-rescue	5	0
↳	`(*.f64 b b)`	underflow	38
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	underflow	43
↳	`(*.f64 a c)`	underflow	43
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	underflow	5
`-.f64`	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	nan-rescue	1	0
↳	`(*.f64 b b)`	overflow	86
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	overflow	17
↳	`(*.f64 a c)`	overflow	17

Confusion

	Predicted +	Predicted -
+	131	2
-	22	101

Precision

0.8562091503267973

Recall

0.9849624060150376

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	131	1	1
-	22	0	101

Precision?

0.8571428571428571

Recall?

0.9924812030075187

Freqs

test

number	freq
0	103
1	121
2	31
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms	312×	0	valid
23.0ms	102×	2	valid
12.0ms	74×	1	valid
7.0ms	24×	3	valid

Compiler

Compiled 184 to 60 computations (67.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-mult: 14.0ms (29.2% of total)

ival-sub: 11.0ms (22.9% of total)

ival-sqrt: 7.0ms (14.6% of total)

ival-div: 6.0ms (12.5% of total)

adjust: 6.0ms (12.5% of total)

ival-neg: 2.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.5%	(/.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 20 to 14 computations (30% saved)

simplify90.0ms (0.8%)

Memory

7.9MiB live, 85.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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

1 120×	`lower-fma.f64`
1 120×	`lower-fma.f32`
744×	`lower-*.f32`
736×	`lower-*.f64`
456×	`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 b (sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
(-.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 b b (.f64 (.f64 a c) #s(literal -4 binary64)))))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))
(sqrt.f64 (fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64))))
(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))
(fma.f64 b b (.f64 (.f64 a c) #s(literal -4 binary64)))
(*.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)
(*.f64 a #s(literal 2 binary64))
#s(literal 2 binary64)

localize58.0ms (0.5%)

Memory

-24.1MiB live, 94.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))
✓	accuracy	91.6%	(/.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	78.7%	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))
✓	accuracy	62.0%	(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))

Samples

16.0ms	156×	0	valid
12.0ms	51×	2	valid
6.0ms	37×	1	valid
3.0ms	12×	3	valid

Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions

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

ival-mult: 6.0ms (28.1% of total)

ival-sub: 4.0ms (18.7% of total)

ival-div: 3.0ms (14% of total)

adjust: 3.0ms (14% of total)

ival-sqrt: 3.0ms (14% of total)

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

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory

24.7MiB live, 24.7MiB 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
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	a	@	-inf	(sqrt (- (* b b) (* 4 (* a c))))
1.0ms	b	@	0	(- (* b b) (* 4 (* a c)))
1.0ms	b	@	inf	(/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))

simplify353.0ms (3.1%)

Memory

-16.1MiB live, 457.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 868×	`lower-fma.f64`
9 868×	`lower-fma.f32`
7 984×	`lower-*.f64`
7 984×	`lower-*.f32`
2 264×	`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 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 #s(literal -4 binary64)) #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 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (/.f64 #s(literal -1/2 binary64) a)) (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (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 b (fma.f64 b (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 c (.f64 c c))))) (.f64 b b)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal -1/2 binary64) a)) (.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64))))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(fma.f64 b (fma.f64 a (/.f64 (.f64 c c) (.f64 (.f64 b b) (.f64 b b))) (/.f64 c (*.f64 b b))) (neg.f64 (/.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 a (/.f64 (.f64 c c) (.f64 (.f64 b b) (.f64 b b))) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 (.f64 c (.f64 c c)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c (*.f64 b b)))) (neg.f64 (/.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 c) (/.f64 a (.f64 b b)) 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 c c) (/.f64 a (.f64 b b)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 (.f64 c (.f64 c c)) (.f64 (.f64 b b) (*.f64 b b))) 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 #s(literal 1/4 binary64) (/.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64))) (.f64 a (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 (.f64 c (.f64 c c)) (.f64 (.f64 b b) (.f64 b b))) c))) (neg.f64 b))
(* -1 (/ b a))
(neg.f64 (/.f64 b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (*.f64 c (/.f64 a b)) b) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 a (fma.f64 c (.f64 c (/.f64 a (.f64 b (*.f64 b b)))) (/.f64 c b)) (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 a (fma.f64 a (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 c (.f64 a (.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 c c) (.f64 b (.f64 b b)))) (/.f64 c b)) (neg.f64 b)) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.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 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)) (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 c (.f64 c c))))) (.f64 (.f64 b b) (.f64 b b))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (*.f64 b b))) (sqrt.f64 #s(literal -4 binary64)))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (.f64 (.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (.f64 b #s(literal 1/2 binary64))) 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)))
(-.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (.f64 b #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/128 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 c c))))) (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 b b) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))) a)) a))
(* -1 (/ b a))
(neg.f64 (/.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)))))
(-.f64 (fma.f64 c (.f64 c (/.f64 a (.f64 b (*.f64 b b)))) (/.f64 c b)) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(fma.f64 (.f64 c c) (fma.f64 #s(literal 2 binary64) (/.f64 (.f64 c (.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (.f64 b (*.f64 b b)))) (-.f64 (/.f64 c b) (/.f64 b a)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -1/2 binary64)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(.f64 c (.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (/.f64 b (.f64 c a)))))
(* 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 c (fma.f64 (/.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (/.f64 b (*.f64 c a))))))
(* 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 c (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (/.f64 b (.f64 c a))) (fma.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (.f64 (.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c)))))) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(.f64 (-.f64 (/.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 c a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) (neg.f64 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)))))
(.f64 c (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64)) (*.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 c (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 b b) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c (.f64 a (.f64 a a)))))) (.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))))) c)) c)))
(* -4 (* a c))
(.f64 c (.f64 a #s(literal -4 binary64)))
(- (pow b 2) (* 4 (* a c)))
(fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))
(- (pow b 2) (* 4 (* a c)))
(fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))
(- (pow b 2) (* 4 (* a c)))
(fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 c a) (.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 c a) (.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 c a) (.f64 b b)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 c a) (.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 c a) (.f64 b b)) #s(literal 1 binary64)))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 c a) (.f64 b b)) #s(literal 1 binary64)))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))
(* -4 (* a c))
(.f64 c (.f64 a #s(literal -4 binary64)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))
(* -4 (* a c))
(.f64 c (.f64 a #s(literal -4 binary64)))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(.f64 a (fma.f64 c #s(literal -4 binary64) (/.f64 (.f64 b b) a)))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))
(* -4 (* a c))
(.f64 c (.f64 a #s(literal -4 binary64)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (.f64 b b) c)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (.f64 b b) c)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (.f64 b b) c)))
(* -4 (* a c))
(.f64 c (.f64 a #s(literal -4 binary64)))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (.f64 b b) c)))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (.f64 b b) c)))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (.f64 b b) c)))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(.f64 (sqrt.f64 (.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))) (neg.f64 b))
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 b (fma.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) #s(literal -1 binary64)) (.f64 (sqrt.f64 (.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -4 binary64)))))
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 b (fma.f64 b (fma.f64 (/.f64 (.f64 (.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/32 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1 binary64)) (.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -4 binary64)))))
(* -2 b)
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b
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(.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 c (.f64 c c))))) (.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64))))) (neg.f64 a))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 c (.f64 c c))))) (.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (.f64 (.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (neg.f64 a))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 c (*.f64 #s(literal -2 binary64) (/.f64 a b)) b)
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (.f64 c #s(literal -2 binary64)) (fma.f64 a (.f64 c (/.f64 a (.f64 b (.f64 b b)))) (/.f64 a b)) b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 c (fma.f64 c (fma.f64 (.f64 #s(literal -4 binary64) (.f64 a (.f64 a a))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 (.f64 a a) #s(literal -2 binary64)) (.f64 b (.f64 b b)))) (.f64 #s(literal -2 binary64) (/.f64 a b))) b)
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 c a)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(.f64 c (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (*.f64 c c)))))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(.f64 c (fma.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 c c))))))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(.f64 c (fma.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 c c)))))))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 binary64)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(neg.f64 (.f64 c (fma.f64 (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 c c)))))) (.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(neg.f64 (.f64 c (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 c c))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (.f64 (.f64 (.f64 (.f64 b b) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/64 binary64)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(neg.f64 (.f64 c (fma.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) #s(literal -1/64 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (.f64 (.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)) (fma.f64 (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 c c)))))) (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))))))

rewrite270.0ms (2.4%)

Memory

17.9MiB live, 397.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 318×	`lower-fma.f64`
5 318×	`lower-fma.f32`
4 626×	`lower-*.f32`
4 618×	`lower-*.f64`
3 036×	`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
(exp.f64 (.f64 (log.f64 (/.f64 a (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(+.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64))))
(+.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))))
(+.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
(+.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 b (.f64 a #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 b (.f64 b b)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 #s(literal 2 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))) (/.f64 (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 a (.f64 #s(literal 2 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))))
(-.f64 (/.f64 (.f64 b b) (.f64 a (.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))) (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 a (.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))))
(-.f64 (/.f64 (.f64 b (.f64 a #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (.f64 a a))) (/.f64 (.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (.f64 #s(literal 4 binary64) (.f64 a a))))
(-.f64 (/.f64 (.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) (/.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a a)))) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 a #s(literal -2 binary64))) (/.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a a))))) (/.f64 (.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 #s(literal 4 binary64) (.f64 a a)))) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 a #s(literal -2 binary64))) (/.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a a))))))
(-.f64 (/.f64 (/.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a a))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 a #s(literal -2 binary64)))) (/.f64 (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 #s(literal 4 binary64) (.f64 a a))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))))
(fma.f64 b (/.f64 #s(literal 1/2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 b (/.f64 #s(literal 1/2 binary64) a) (.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64)))))
(fma.f64 b (/.f64 #s(literal 1/2 binary64) a) (.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64)))))
(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 b (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64))))
(fma.f64 b (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) (.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))))
(fma.f64 b (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
(fma.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(fma.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) #s(literal 1 binary64) (.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) #s(literal -1 binary64) (.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))))
(fma.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 b (.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 b (.f64 a #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 b (.f64 a #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) b (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) b (.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) b (.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (/.f64 #s(literal 1/2 binary64) a) (/.f64 b (*.f64 a #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 b (.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 b (.f64 a #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 b (.f64 a #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64))))
(fma.f64 (.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) a) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64))))
(fma.f64 (.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) a) (.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))))
(fma.f64 (.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) a) (.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
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(fma.f64 (.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))))
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(.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) #s(literal 1 binary64)))
(.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))
(.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))))
(.f64 (fma.f64 b b (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))
(.f64 (fma.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (fma.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (fma.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b)) (.f64 b (*.f64 b b))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (fma.f64 b b (fma.f64 #s(literal 4 binary64) (.f64 a c) (*.f64 b b))))
(.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b))) (fma.f64 b b (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
(.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b)) (.f64 b (.f64 b b))) (fma.f64 (fma.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (fma.f64 b (.f64 b (.f64 b b)) (fma.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 (.f64 b b) (fma.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b)) (.f64 b (.f64 b b))) (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (fma.f64 b b (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))) (-.f64 (.f64 b b) (fma.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))
(.f64 (/.f64 (fma.f64 b b (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b))) (fma.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 b (.f64 b b)))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
b
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64)))
(+.f64 b #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) b)
(-.f64 #s(literal 0 binary64) b)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) b)
(-.f64 (/.f64 #s(literal 0 binary64) b) b)
(fma.f64 b #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 b #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64))
(fma.f64 (.f64 b (.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) b #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) b #s(literal 0 binary64))
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) #s(literal 0 binary64))
(neg.f64 b)
(/.f64 (*.f64 b b) b)
(/.f64 (.f64 b (.f64 b b)) (*.f64 b b))
(/.f64 (.f64 b (.f64 b b)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 b (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 b b)))
(pow.f64 b #s(literal 1 binary64))
(*.f64 b #s(literal 1 binary64))
(*.f64 b #s(literal -1 binary64))
(.f64 (.f64 b b) (/.f64 #s(literal 1 binary64) b))
(.f64 (.f64 b (.f64 b b)) (/.f64 #s(literal 1 binary64) (.f64 b b)))
(*.f64 #s(literal 1 binary64) b)
(*.f64 #s(literal -1 binary64) b)
(*.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
(fabs.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))
(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))
(/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a c) (fma.f64 (.f64 a c) #s(literal 16 binary64) (.f64 (.f64 b b) #s(literal 4 binary64)))))) (sqrt.f64 (fma.f64 (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) #s(literal -64 binary64) (.f64 b (.f64 b (.f64 b (.f64 b (*.f64 b b)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b))) (sqrt.f64 (fma.f64 (.f64 a (.f64 c (.f64 a c))) #s(literal -16 binary64) (.f64 b (.f64 b (.f64 b b)))))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) #s(literal -64 binary64) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a c) (fma.f64 (.f64 a c) #s(literal 16 binary64) (.f64 (*.f64 b b) #s(literal 4 binary64)))))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 a (.f64 c (.f64 a c))) #s(literal -16 binary64) (.f64 b (.f64 b (.f64 b b))))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 64 binary64) (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 a c) (*.f64 b b))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) #s(literal -64 binary64) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b)))))))) (neg.f64 (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a c) (fma.f64 (.f64 a c) #s(literal 16 binary64) (.f64 (*.f64 b b) #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 a (.f64 c (.f64 a c))) #s(literal -16 binary64) (.f64 b (.f64 b (.f64 b b)))))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b)))))
(pow.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) #s(literal 1 binary64))
(pow.f64 (fma.f64 a (.f64 c (.f64 (.f64 a c) #s(literal 16 binary64))) (.f64 b (.f64 b (.f64 b b)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))
(.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) #s(literal -64 binary64) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a c) (fma.f64 (.f64 a c) #s(literal 16 binary64) (.f64 (.f64 b b) #s(literal 4 binary64)))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) #s(literal -64 binary64) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a c) (fma.f64 (.f64 a c) #s(literal 16 binary64) (.f64 (.f64 b b) #s(literal 4 binary64))))))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) #s(literal -64 binary64) (.f64 b (.f64 b (.f64 b (.f64 b (.f64 b b))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b (.f64 b (.f64 b b)) (.f64 (.f64 a c) (fma.f64 (.f64 a c) #s(literal 16 binary64) (.f64 (.f64 b b) #s(literal 4 binary64))))))))
(.f64 (sqrt.f64 (fma.f64 (.f64 a (.f64 c (.f64 a c))) #s(literal -16 binary64) (.f64 b (.f64 b (.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 a c) (*.f64 b b))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 a (.f64 c (.f64 a c))) #s(literal -16 binary64) (.f64 b (.f64 b (.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (.f64 a c) (*.f64 b b)))))
(.f64 (sqrt.f64 (fma.f64 (.f64 a (.f64 c (.f64 a c))) #s(literal -16 binary64) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 a c) (*.f64 b b)))))
(.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (sqrt.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))

eval96.0ms (0.9%)

Memory: 14.4MiB live, 150.6MiB allocated
Compiler: Compiled 25 299 to 2 233 computations (91.2% saved)

prune116.0ms (1%)

Memory

-13.3MiB live, 185.2MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	647	18	665
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	648	18	666

Accuracy

93.0%

Counts

666 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.3%	(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))
	22.6%	(/.f64 (fma.f64 b b (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
	32.2%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
▶	23.4%	(/.f64 (-.f64 (.f64 (.f64 b #s(literal 1/2 binary64)) a) (.f64 a (.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) #s(literal 1/2 binary64)))) (*.f64 a a))
	21.0%	(/.f64 (-.f64 (.f64 a #s(literal 2 binary64)) (.f64 (/.f64 (.f64 a #s(literal 2 binary64)) b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (.f64 (/.f64 (.f64 a #s(literal 2 binary64)) b) (.f64 a #s(literal 2 binary64))))
	42.5%	(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a))
	49.5%	(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a))
	33.0%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 c (.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
▶	50.5%	(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
▶	30.4%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)) (*.f64 #s(literal 2 binary64) a))
▶	32.3%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
	32.2%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))) a))
	50.4%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
	31.3%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a))))
	36.6%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) (neg.f64 b)))
	41.0%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
	31.5%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
▶	31.4%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))

Compiler

Compiled 692 to 418 computations (39.6% saved)

simplify224.0ms (2%)

Memory

21.6MiB live, 290.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Rules

5 908×	`lower-fma.f32`
5 906×	`lower-fma.f64`
3 494×	`lower-*.f32`
3 472×	`lower-*.f64`
2 192×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	335
0	67	327
1	130	322
2	292	320
3	663	319
4	1649	319
5	4462	319
6	7395	319
0	8062	319

Stop Event

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

Calls

Call 1

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

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

localize260.0ms (2.3%)

Memory

-30.4MiB live, 215.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))
✓	accuracy	86.2%	(-.f64 (.f64 (.f64 b #s(literal 1/2 binary64)) a) (.f64 a (.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) #s(literal 1/2 binary64))))
✓	accuracy	62.0%	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))
✓	accuracy	56.8%	(/.f64 (-.f64 (.f64 (.f64 b #s(literal 1/2 binary64)) a) (.f64 a (.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) #s(literal 1/2 binary64)))) (*.f64 a a))
✓	accuracy	99.6%	(fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))
✓	accuracy	94.8%	(/.f64 a (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))
✓	accuracy	82.6%	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
✓	accuracy	62.0%	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) a)
✓	accuracy	93.2%	(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
✓	accuracy	91.6%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)) (*.f64 #s(literal 2 binary64) a))
✓	accuracy	41.0%	#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b))
✓	accuracy	100.0%	(/.f64 b a)
✓	accuracy	100.0%	(neg.f64 (/.f64 b a))
✓	accuracy	31.4%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))
✓	accuracy	99.6%	(fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))
✓	accuracy	91.6%	(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
✓	accuracy	78.7%	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
✓	accuracy	62.0%	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))

Samples

76.0ms	87×	2	valid
28.0ms	62×	1	valid
26.0ms	82×	0	valid
20.0ms	25×	3	valid

Compiler

Compiled 331 to 41 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-sub: 30.0ms (27.9% of total)

ival-mult: 28.0ms (26.1% of total)

ival-div: 19.0ms (17.7% of total)

adjust: 14.0ms (13% of total)

ival-sqrt: 8.0ms (7.4% of total)

ival-add: 6.0ms (5.6% of total)

ival-neg: 2.0ms (1.9% of total)

exact: 1.0ms (0.9% of total)

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

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

series74.0ms (0.7%)

Memory

24.8MiB live, 62.1MiB allocated

Counts

19 → 588

Calls

Call 1

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

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

Calls

147 calls:

Time	Variable		Point	Expression
5.0ms	a	@	inf	(/ (- (* (* b 1/2) a) (* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2))) (* a a))
3.0ms	c	@	inf	(/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))
2.0ms	b	@	inf	(neg (/ b a))
1.0ms	a	@	inf	(/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))
1.0ms	a	@	-inf	(/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))

simplify459.0ms (4.1%)

Memory

28.0MiB live, 415.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 454×	`lower-*.f64`
7 454×	`lower-*.f32`
7 128×	`lower-fma.f64`
7 128×	`lower-fma.f32`
4 804×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1225	11438
1	4031	11234
0	8569	10780

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 585

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

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

rewrite410.0ms (3.6%)

Memory

-32.6MiB live, 464.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 978×	`lower-/.f32`
4 964×	`lower-/.f64`
4 670×	`lower-*.f32`
4 648×	`lower-*.f64`
4 160×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	222
0	67	222
1	248	214
2	1875	214
0	8505	214

Stop Event

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

Counts

19 → 885

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 b a) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64)))))
(-.f64 (.f64 (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 a #s(literal -2 binary64))) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 a #s(literal -2 binary64))) (/.f64 (-.f64 b (neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (.f64 a #s(literal -2 binary64))) (/.f64 (/.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 b (.f64 b b)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (neg.f64 b) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (neg.f64 b) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 b b) (+.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (neg.f64 b))) (.f64 a #s(literal 2 binary64))) (/.f64 (/.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))) (neg.f64 b))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (neg.f64 b) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))) (/.f64 (.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (.f64 (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (neg.f64 b) (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))))
(-.f64 (/.f64 (.f64 b b) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (neg.f64 b)))) (/.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b)))))
(-.f64 (/.f64 (.f64 b b) (.f64 (.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))) (/.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (.f64 (.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))))
(-.f64 (/.f64 (.f64 (neg.f64 b) (.f64 a #s(literal 2 binary64))) (.f64 (.f64 a #s(literal -2 binary64)) (.f64 a #s(literal -2 binary64)))) (/.f64 (.f64 (.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (.f64 (.f64 a #s(literal -2 binary64)) (.f64 a #s(literal -2 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) (fma.f64 (.f64 (/.f64 b a) #s(literal -1/2 binary64)) (.f64 (/.f64 b a) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64))) (.f64 (.f64 (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64))))))) (/.f64 (/.f64 (.f64 (.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) #s(literal 1/8 binary64)) (.f64 a (.f64 a a))) (fma.f64 (.f64 (/.f64 b a) #s(literal -1/2 binary64)) (.f64 (/.f64 b a) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64))) (.f64 (.f64 (/.f64 b a) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (*.f64 a #s(literal 2 binary64))))))))
(-.f64 (/.f64 (.f64 (.f64 (/.f64 b a) #s(literal -1/2 binary64)) (.f64 (/.f64 b a) #s(literal -1/2 binary64))) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64))))) (/.f64 (.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64)))) (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64))))))
(fma.f64 (neg.f64 b) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 b (neg.f64 a)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 b (neg.f64 a)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (.f64 b #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (.f64 (/.f64 b a) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 b (.f64 a #s(literal -2 binary64))) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b #s(literal -2 binary64)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 b (.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (neg.f64 b)) (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (.f64 (neg.f64 b) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (.f64 b #s(literal 1/2 binary64)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 b #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (*.f64 a #s(literal 2 binary64)))))
(neg.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (*.f64 a #s(literal 2 binary64))))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (*.f64 a #s(literal 2 binary64)))
(/.f64 (fma.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 b (.f64 b b))) (.f64 (.f64 a #s(literal -2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (neg.f64 b) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))
(/.f64 (-.f64 (.f64 b (.f64 b b)) (.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (.f64 (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (neg.f64 b) (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a #s(literal -2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (neg.f64 b) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (fma.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 b (.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a #s(literal 2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (neg.f64 b) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (-.f64 (.f64 b (.f64 b b)) (.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (neg.f64 b))) (-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 a #s(literal -2 binary64)) (.f64 a #s(literal -2 binary64))) (-.f64 (.f64 (neg.f64 b) (.f64 a #s(literal 2 binary64))) (.f64 (.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (neg.f64 b) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (.f64 a #s(literal 2 binary64))) (.f64 (-.f64 (.f64 b (.f64 b b)) (.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (neg.f64 b) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (.f64 a #s(literal -2 binary64))) (.f64 (fma.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 b (*.f64 b b))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (neg.f64 b)) (.f64 a #s(literal 2 binary64))) (.f64 (-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #s(literal 1 binary64))))
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(.f64 #s(literal 1 binary64) (.f64 a (-.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #s(literal 1/2 binary64)))))
(.f64 (-.f64 (.f64 (.f64 a (.f64 b #s(literal 1/2 binary64))) (.f64 a (.f64 b #s(literal 1/2 binary64)))) (.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 a #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 a (fma.f64 b #s(literal 1/2 binary64) (.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #s(literal 1/2 binary64))))))
(.f64 (-.f64 (.f64 (.f64 a (.f64 b #s(literal 1/2 binary64))) (.f64 a (.f64 b #s(literal 1/2 binary64)))) (.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 a #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a (.f64 b #s(literal 1/2 binary64))) (.f64 (.f64 a (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) #s(literal -1/2 binary64)))))
(.f64 (neg.f64 (fma.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 (.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (.f64 a (.f64 a a))) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (.f64 a #s(literal 1/2 binary64))) (.f64 a (fma.f64 b #s(literal 1/2 binary64) (.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #s(literal 1/2 binary64)))) (.f64 (.f64 a (.f64 b #s(literal 1/2 binary64))) (.f64 a (.f64 b #s(literal 1/2 binary64))))))))
(.f64 (neg.f64 (-.f64 (.f64 (.f64 a (.f64 b #s(literal 1/2 binary64))) (.f64 a (.f64 b #s(literal 1/2 binary64)))) (.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 a #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 a (fma.f64 b #s(literal 1/2 binary64) (.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #s(literal 1/2 binary64)))))))
(.f64 (/.f64 (.f64 a (fma.f64 b #s(literal 1/2 binary64) (.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #s(literal 1/2 binary64)))) a) (/.f64 (.f64 a (-.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #s(literal 1/2 binary64)))) (fma.f64 b #s(literal 1/2 binary64) (.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))) #s(literal 1/2 binary64)))))
(.f64 b (.f64 a #s(literal 1/2 binary64)))
(.f64 a (.f64 b #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 b a))
(.f64 (.f64 b #s(literal 1/2 binary64)) a)
(.f64 (.f64 a #s(literal 1/2 binary64)) b)
(.f64 (.f64 a b) #s(literal 1/2 binary64))
(/.f64 b #s(literal 2 binary64))
(/.f64 (neg.f64 b) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))
(*.f64 b #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) b)
(-.f64 #s(literal 0 binary64) (*.f64 a #s(literal -2 binary64)))
(neg.f64 (*.f64 a #s(literal -2 binary64)))
(/.f64 a #s(literal 1/2 binary64))
(/.f64 (*.f64 a #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 a) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 a #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 a #s(literal -2 binary64)) (.f64 a #s(literal -2 binary64)) (.f64 #s(literal 0 binary64) (*.f64 a #s(literal -2 binary64))))))
(*.f64 a #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (neg.f64 a))
(*.f64 #s(literal 2 binary64) a)
(.f64 (.f64 a #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 a) #s(literal -2 binary64))
(.f64 #s(literal -1 binary64) (.f64 a #s(literal -2 binary64)))

eval252.0ms (2.2%)

Memory: 25.0MiB live, 601.2MiB allocated
Compiler: Compiled 59 669 to 4 851 computations (91.9% saved)

prune390.0ms (3.5%)

Memory

-10.4MiB live, 717.9MiB allocated

Pruning

28 alts after pruning (25 fresh and 3 done)

	Pruned	Kept	Total
New	1 803	17	1 820
Fresh	5	8	13
Picked	2	3	5
Done	0	0	0
Total	1 810	28	1 838

Accuracy

93.0%

Counts

1 838 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.3%	(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))
	22.6%	(/.f64 (fma.f64 b b (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
	15.8%	(/.f64 (-.f64 (.f64 (.f64 b #s(literal 1/2 binary64)) a) (.f64 a (.f64 (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (.f64 #s(literal -4 binary64) (.f64 c a)))) #s(literal 1/2 binary64)))) (*.f64 a a))
	21.0%	(/.f64 (-.f64 (.f64 a #s(literal 2 binary64)) (.f64 (/.f64 (.f64 a #s(literal 2 binary64)) b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (.f64 (/.f64 (.f64 a #s(literal 2 binary64)) b) (.f64 a #s(literal 2 binary64))))
	42.5%	(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a))
	49.5%	(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))) (*.f64 a #s(literal -2 binary64)))
✓	50.5%	(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
	33.0%	(/.f64 (+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (.f64 #s(literal -4 binary64) (.f64 c a))))) (*.f64 a #s(literal -2 binary64)))
▶	2.2%	(/.f64 #s(approx (- (* (* b 1/2) a) (* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2))) (.f64 (neg.f64 b) (.f64 a #s(literal -1 binary64)))) (*.f64 a a))
✓	30.4%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)) (*.f64 #s(literal 2 binary64) a))
	30.3%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b))) (*.f64 #s(literal 2 binary64) a))
	24.4%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (.f64 #s(literal -4 binary64) (.f64 c a)))))))
	32.2%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))) a))
	15.1%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- b (sqrt (+ (* b b) (* c (* a -4)))))) (.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal 1/2 binary64) c)))))
▶	23.4%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 a (-.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))) #s(literal 1/2 binary64)))))
▶	50.4%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
	15.0%	#s(approx (/ (- (* (* b 1/2) a) (* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2))) (* a a)) (/.f64 c b))
	31.3%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a))))
▶	36.6%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) (neg.f64 b)))
	31.4%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a))
	22.1%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) a) (.f64 a b)) (*.f64 a a)))
	41.0%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
	31.3%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
	31.5%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
	31.3%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (/.f64 #s(literal -1 binary64) a)))
✓	31.4%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))
	13.7%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)))))
▶	2.6%	#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))) (/.f64 b a))

Compiler

Compiled 889 to 539 computations (39.4% saved)

simplify372.0ms (3.3%)

Memory

-21.3MiB live, 463.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 a a)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 a a))
✓	cost-diff	320	(-.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #s(literal 1/2 binary64)))
✓	cost-diff	960	(.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 a (-.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))) #s(literal 1/2 binary64)))))
✓	cost-diff	0	(*.f64 c c)
✓	cost-diff	0	(fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c)
✓	cost-diff	0	(/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) (neg.f64 b))
✓	cost-diff	0	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) (neg.f64 b)))
✓	cost-diff	0	#s(approx (- (* (* b 1/2) a) (* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2))) (.f64 (neg.f64 b) (.f64 a #s(literal -1 binary64))))
✓	cost-diff	0	(/.f64 #s(approx (- (* (* b 1/2) a) (* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2))) (.f64 (neg.f64 b) (.f64 a #s(literal -1 binary64)))) (*.f64 a a))
✓	cost-diff	192	(*.f64 a #s(literal -1 binary64))
✓	cost-diff	256	(.f64 (neg.f64 b) (.f64 a #s(literal -1 binary64)))
✓	cost-diff	0	(/.f64 b a)
✓	cost-diff	0	#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))) (/.f64 b a))
✓	cost-diff	0	(sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))
✓	cost-diff	0	(+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) a)
✓	cost-diff	0	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))

Rules

11 040×	`lower-fma.f32`
11 036×	`lower-fma.f64`
3 784×	`lower-*.f32`
3 762×	`lower-*.f64`
1 614×	`lower-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	333
0	82	322
1	174	305
2	390	299
3	915	298
4	3191	298
5	7692	298
0	8255	298

Stop Event

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

Calls

Call 1

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

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

localize244.0ms (2.2%)

Memory

45.0MiB live, 272.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(.f64 a (-.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))) #s(literal 1/2 binary64))))
✓	accuracy	82.6%	(-.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #s(literal 1/2 binary64)))
✓	accuracy	62.0%	(sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))
✓	accuracy	56.1%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 a (-.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))) #s(literal 1/2 binary64)))))
✓	accuracy	99.6%	(/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) (neg.f64 b))
✓	accuracy	89.0%	(/.f64 a (*.f64 b b))
✓	accuracy	86.0%	(fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c)
✓	accuracy	40.7%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) (neg.f64 b)))
✓	accuracy	100.0%	(*.f64 a #s(literal -1 binary64))
✓	accuracy	100.0%	(neg.f64 b)
✓	accuracy	56.8%	(/.f64 #s(approx (- (* (* b 1/2) a) (* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2))) (.f64 (neg.f64 b) (.f64 a #s(literal -1 binary64)))) (*.f64 a a))
✓	accuracy	45.5%	#s(approx (- (* (* b 1/2) a) (* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2))) (.f64 (neg.f64 b) (.f64 a #s(literal -1 binary64))))
✓	accuracy	100.0%	(/.f64 b a)
✓	accuracy	41.2%	#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))) (/.f64 b a))
✓	accuracy	100.0%	(fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))
✓	accuracy	91.5%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
✓	accuracy	78.7%	(+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
✓	accuracy	62.0%	(sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))

Samples

71.0ms	92×	2	valid
57.0ms	57×	1	valid
29.0ms	82×	0	valid
23.0ms	25×	3	valid

Compiler

Compiled 315 to 53 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 137.0ms

ival-mult: 39.0ms (28.4% of total)

ival-sqrt: 37.0ms (26.9% of total)

ival-div: 21.0ms (15.3% of total)

adjust: 19.0ms (13.8% of total)

ival-sub: 10.0ms (7.3% of total)

ival-add: 9.0ms (6.5% 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)

series79.0ms (0.7%)

Memory

-20.0MiB live, 82.1MiB allocated

Counts

22 → 612

Calls

Call 1

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

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

Calls

153 calls:

Time	Variable		Point	Expression
4.0ms	a	@	inf	(/ -1/2 a)
1.0ms	b	@	0	(/ (+ (* (* c c) (/ a (* b b))) c) (neg b))
1.0ms	a	@	0	(/ (+ (* (* c c) (/ a (* b b))) c) (neg b))
1.0ms	a	@	inf	(/ (+ (* (* c c) (/ a (* b b))) c) (neg b))
1.0ms	c	@	0	(/ (+ (* (* c c) (/ a (* b b))) c) (neg b))

simplify396.0ms (3.5%)

Memory

17.6MiB live, 551.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 024×	`lower-fma.f64`
11 024×	`lower-fma.f32`
7 702×	`lower-*.f64`
7 702×	`lower-*.f32`
5 480×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1017	10987
1	3365	10781
0	8753	10321

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 604

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

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

rewrite649.0ms (5.7%)

Memory

-21.3MiB live, 539.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 684×	`lower-/.f32`
4 672×	`lower-/.f64`
4 608×	`lower-*.f32`
4 586×	`lower-*.f64`
3 472×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	263
0	82	252
1	337	226
2	2467	226
0	8211	226

Stop Event

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

Counts

22 → 1 055

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 a #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))) #s(literal -1 binary64)))
(+.f64 (/.f64 b (.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64))))
(+.f64 (/.f64 b (.f64 a #s(literal -2 binary64))) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64)))))
(+.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64))) (/.f64 b (.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 b (.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 b (.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (neg.f64 (.f64 a #s(literal -2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 a #s(literal 2 binary64))) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 a #s(literal 2 binary64))) (/.f64 (-.f64 b (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (.f64 a #s(literal -2 binary64))) (/.f64 (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 b (.f64 b b)) (-.f64 (fma.f64 b b (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))) (.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (-.f64 (fma.f64 b b (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 b b) (+.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (neg.f64 b))) (.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (+.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (neg.f64 b))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 a #s(literal -2 binary64)))) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 a #s(literal -2 binary64)))) (/.f64 (-.f64 b (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (neg.f64 (.f64 a #s(literal -2 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 b (.f64 b b)) (-.f64 (fma.f64 b b (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))) (neg.f64 (.f64 a #s(literal -2 binary64)))) (/.f64 (/.f64 (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (-.f64 (fma.f64 b b (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))) (neg.f64 (*.f64 a #s(literal -2 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 b b) (+.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (neg.f64 b))) (neg.f64 (.f64 a #s(literal -2 binary64)))) (/.f64 (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (+.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (neg.f64 b))) (neg.f64 (*.f64 a #s(literal -2 binary64)))))
(-.f64 (/.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (fma.f64 b b (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))) (/.f64 (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (fma.f64 b b (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))))
(-.f64 (/.f64 (.f64 b b) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (neg.f64 b)))) (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))) (neg.f64 b)))))
(-.f64 (/.f64 (.f64 (neg.f64 b) (.f64 a #s(literal 2 binary64))) (.f64 (.f64 a #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 a #s(literal 2 binary64)) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 (.f64 a #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 (/.f64 b (.f64 a #s(literal -2 binary64))) (.f64 (/.f64 b (.f64 a #s(literal -2 binary64))) (/.f64 b (.f64 a #s(literal -2 binary64))))) (fma.f64 (/.f64 b (.f64 a #s(literal -2 binary64))) (/.f64 b (.f64 a #s(literal -2 binary64))) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (.f64 (/.f64 b (.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))))))) (/.f64 (.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))))) (fma.f64 (/.f64 b (.f64 a #s(literal -2 binary64))) (/.f64 b (.f64 a #s(literal -2 binary64))) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (.f64 (/.f64 b (.f64 a #s(literal -2 binary64))) (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))))))))
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(/.f64 (neg.f64 (.f64 a (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/8 binary64) (.f64 (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) #s(literal -1/8 binary64))))) (neg.f64 (fma.f64 (.f64 b b) #s(literal 1/4 binary64) (fma.f64 (.f64 (.f64 b #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) #s(literal 1/2 binary64) (.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (.f64 a (-.f64 (.f64 (.f64 b b) #s(literal 1/4 binary64)) (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64))))) (neg.f64 (.f64 #s(literal 1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 b (.f64 b b)) #s(literal 1/8 binary64) (.f64 (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) #s(literal -1/8 binary64))) a)) (neg.f64 (fma.f64 (.f64 b b) #s(literal 1/4 binary64) (fma.f64 (.f64 (.f64 b #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) #s(literal 1/2 binary64) (.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (.f64 b b) #s(literal 1/4 binary64)) (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64))) a)) (neg.f64 (.f64 #s(literal 1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(pow.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 1/2 binary64))) (.f64 a (.f64 #s(literal 1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))) (.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 1/4 binary64)))) (fma.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) #s(literal -1/8 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))) (-.f64 (.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 1/4 binary64))) (.f64 (.f64 a a) (.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64))))) #s(literal -1 binary64))
(.f64 a (.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) a))
(.f64 #s(literal 1 binary64) (.f64 a (.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(.f64 (.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) a)
(.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) #s(literal -1/8 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 1/2 binary64))) (.f64 a (.f64 #s(literal 1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))) (.f64 (.f64 a a) (.f64 (*.f64 b b) #s(literal 1/4 binary64))))))
(.f64 (-.f64 (.f64 (.f64 a a) (.f64 (.f64 b b) #s(literal 1/4 binary64))) (.f64 (.f64 a a) (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 #s(literal 1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))))
(.f64 (.f64 a #s(literal 1/2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))
(.f64 (/.f64 a #s(literal 1/2 binary64)) (/.f64 (-.f64 (.f64 (.f64 b b) #s(literal 1/4 binary64)) (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64))) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
(.f64 (.f64 #s(literal 1 binary64) a) (.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))) a)
(.f64 (/.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))) a) (/.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))) (.f64 #s(literal 1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))))
(.f64 (/.f64 (-.f64 (.f64 (.f64 b b) #s(literal 1/4 binary64)) (.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))

eval284.0ms (2.5%)

Memory: 40.0MiB live, 413.3MiB allocated
Compiler: Compiled 56 310 to 4 624 computations (91.8% saved)

prune504.0ms (4.5%)

Memory

-9.1MiB live, 724.3MiB allocated

Pruning

35 alts after pruning (30 fresh and 5 done)

	Pruned	Kept	Total
New	1 887	12	1 899
Fresh	2	18	20
Picked	3	2	5
Done	0	3	3
Total	1 892	35	1 927

Accuracy

93.0%

Counts

1 927 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.3%	(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))
	31.3%	(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (/.f64 (.f64 a #s(literal -2 binary64)) b) (.f64 a #s(literal 1 binary64))) (.f64 a (/.f64 (*.f64 a #s(literal -2 binary64)) b)))
	22.6%	(/.f64 (fma.f64 b b (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
	42.5%	(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a))
▶	49.5%	(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))) (*.f64 a #s(literal -2 binary64)))
✓	50.5%	(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
	33.0%	(/.f64 (+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (.f64 #s(literal -4 binary64) (.f64 c a))))) (*.f64 a #s(literal -2 binary64)))
	23.5%	(/.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))) (*.f64 a a))
▶	1.4%	(/.f64 #s(approx (- (* (* b 1/2) a) (* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))) (+.f64 #s(literal 0 binary64) (fma.f64 b b (.f64 #s(literal 0 binary64) b)))) (.f64 a #s(literal -1 binary64)))) (.f64 a a))
	1.4%	(/.f64 #s(approx (- (* (* b 1/2) a) (* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2))) (.f64 (neg.f64 b) (.f64 a #s(literal -1 binary64)))) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 a))))
	2.2%	(/.f64 #s(approx (- (* (* b 1/2) a) (* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2))) (.f64 a b)) (.f64 a a))
✓	30.4%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)) (*.f64 #s(literal 2 binary64) a))
	30.3%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b))) (*.f64 #s(literal 2 binary64) a))
	2.2%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) #s(approx (- ( (* b 1/2) a) (* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2))) (*.f64 a b))))
	24.4%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (.f64 #s(literal -4 binary64) (.f64 c a)))))))
	32.2%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))) a))
	15.1%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- b (sqrt (+ (* b b) (* c (* a -4)))))) (.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal 1/2 binary64) c)))))
	23.8%	(.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (*.f64 a a)) (/.f64 a #s(literal 1 binary64)))
	15.7%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 a (-.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(approx (+ ( c (* a -4)) (* b b)) (.f64 a (.f64 c #s(literal -4 binary64))))) #s(literal 1/2 binary64)))))
	32.9%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ ( c (* a -4)) (* b b)) (.f64 a (.f64 c #s(literal -4 binary64)))))))
▶	31.4%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b #s(approx (sqrt (+ ( c (* a -4)) (* b b))) (fma.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b) b))))
▶	15.0%	#s(approx (/ (- (* (* b 1/2) a) (* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2))) (* a a)) (/.f64 c b))
	31.3%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a))))
✓	36.6%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) (neg.f64 b)))
	31.4%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a))
▶	22.1%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) a) (.f64 a b)) (*.f64 a a)))
	41.0%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
	31.3%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
	31.5%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
	31.3%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (/.f64 #s(literal -1 binary64) a)))
✓	31.4%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))
	13.7%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)))))
✓	2.6%	#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))) (/.f64 b a))
	2.6%	#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
	5.5%	#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))

Compiler

Compiled 1 083 to 674 computations (37.8% saved)

simplify419.0ms (3.7%)

Memory

-34.4MiB live, 616.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	192	(+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b)))
✓	cost-diff	256	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))) (+.f64 #s(literal 0 binary64) (fma.f64 b b (.f64 #s(literal 0 binary64) b)))) (*.f64 a #s(literal -1 binary64)))
✓	cost-diff	320	(*.f64 #s(literal 0 binary64) b)
✓	cost-diff	1664	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))))
✓	cost-diff	0	#s(approx (sqrt (+ (* c (* a -4)) (* b b))) (fma.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b) b))
✓	cost-diff	0	(+.f64 b #s(approx (sqrt (+ (* c (* a -4)) (* b b))) (fma.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b) b)))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) a)
✓	cost-diff	0	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b #s(approx (sqrt (+ ( c (* a -4)) (* b b))) (fma.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b) b))))
✓	cost-diff	0	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) a) (.f64 a b)) (*.f64 a a)))
✓	cost-diff	64	(-.f64 (.f64 #s(literal 0 binary64) a) (.f64 a b))
✓	cost-diff	320	(*.f64 #s(literal 0 binary64) a)
✓	cost-diff	640	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) a) (.f64 a b)) (*.f64 a a))
✓	cost-diff	0	(/.f64 c b)
✓	cost-diff	0	#s(approx (/ (- (* (* b 1/2) a) (* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2))) (* a a)) (/.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 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))))))
✓	cost-diff	0	(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))) (*.f64 a #s(literal -2 binary64)))

Rules

16 012×	`lower-fma.f32`
16 006×	`lower-fma.f64`
5 236×	`lower-*.f32`
5 216×	`lower-*.f64`
2 076×	`lower--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	433
0	102	369
1	211	353
2	463	317
3	1187	312
4	3417	312
5	6362	312
0	8468	312

Stop Event

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

Calls

Call 1

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

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

localize296.0ms (2.6%)

Memory

32.7MiB live, 464.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 b (.f64 b b))
✓	accuracy	56.8%	(/.f64 #s(approx (- (* (* b 1/2) a) (* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))) (+.f64 #s(literal 0 binary64) (fma.f64 b b (.f64 #s(literal 0 binary64) b)))) (.f64 a #s(literal -1 binary64)))) (.f64 a a))
✓	accuracy	45.5%	#s(approx (- (* (* b 1/2) a) (* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))) (+.f64 #s(literal 0 binary64) (fma.f64 b b (.f64 #s(literal 0 binary64) b)))) (*.f64 a #s(literal -1 binary64))))
✓	accuracy	37.0%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))))
✓	accuracy	94.5%	(fma.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b) b)
✓	accuracy	91.5%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b #s(approx (sqrt (+ ( c (* a -4)) (* b b))) (fma.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b) b))))
✓	accuracy	78.7%	(+.f64 b #s(approx (sqrt (+ (* c (* a -4)) (* b b))) (fma.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b) b)))
✓	accuracy	30.9%	#s(approx (sqrt (+ (* c (* a -4)) (* b b))) (fma.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b) b))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	100.0%	(*.f64 #s(literal 0 binary64) a)
✓	accuracy	64.6%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) a) (.f64 a b)) (*.f64 a a))
✓	accuracy	31.4%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) a) (.f64 a b)) (*.f64 a a)))
✓	accuracy	100.0%	(/.f64 c b)
✓	accuracy	31.3%	#s(approx (/ (- (* (* b 1/2) a) (* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2))) (* a a)) (/.f64 c b))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))
✓	accuracy	91.6%	(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))) (*.f64 a #s(literal -2 binary64)))
✓	accuracy	78.7%	(+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))
✓	accuracy	62.5%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))

Samples

106.0ms	87×	2	valid
44.0ms	62×	1	valid
36.0ms	25×	3	valid
30.0ms	82×	0	valid

Compiler

Compiled 364 to 62 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 138.0ms

adjust: 40.0ms (29% of total)

ival-mult: 35.0ms (25.4% of total)

ival-div: 26.0ms (18.9% of total)

ival-add: 13.0ms (9.4% of total)

ival-sqrt: 12.0ms (8.7% of total)

ival-sub: 9.0ms (6.5% 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)

series58.0ms (0.5%)

Memory

-2.8MiB live, 113.2MiB allocated

Counts

24 → 648

Calls

Call 1

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

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

Calls

162 calls:

Time	Variable		Point	Expression
4.0ms	b	@	0	(/ 1 (+ (* c (* a -4)) (* b b)))
4.0ms	a	@	-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))))

simplify656.0ms (5.8%)

Memory

7.2MiB live, 610.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 084×	`lower-fma.f64`
8 084×	`lower-fma.f32`
6 366×	`lower-*.f64`
6 366×	`lower-*.f32`
5 684×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1124	12341
1	3599	12159
0	8046	11603

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 638

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

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

rewrite158.0ms (1.4%)

Memory

19.9MiB live, 248.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 982×	`lower-fma.f32`
1 976×	`lower-fma.f64`
1 650×	`lower-*.f32`
1 630×	`lower-*.f64`
1 500×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	68	363
0	102	316
1	426	254
0	3508	254

Stop Event

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

Counts

24 → 461

Calls

Call 1

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

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

eval223.0ms (2%)

Memory: -7.8MiB live, 194.7MiB allocated
Compiler: Compiled 27 528 to 2 628 computations (90.5% saved)

prune223.0ms (2%)

Memory

16.8MiB live, 522.3MiB allocated

Pruning

38 alts after pruning (31 fresh and 7 done)

	Pruned	Kept	Total
New	1 106	9	1 115
Fresh	3	22	25
Picked	3	2	5
Done	0	5	5
Total	1 112	38	1 150

Accuracy

93.1%

Counts

1 150 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.3%	(fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))
	27.9%	(/.f64 (fma.f64 (.f64 b b) (/.f64 b (.f64 b b)) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
	31.3%	(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (/.f64 (.f64 a #s(literal -2 binary64)) b) (.f64 a #s(literal 1 binary64))) (.f64 a (/.f64 (*.f64 a #s(literal -2 binary64)) b)))
	22.6%	(/.f64 (fma.f64 b b (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
	42.5%	(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a))
	17.2%	(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* c (* a -4)) (* b b))) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 b b) (.f64 c (.f64 a a))) (/.f64 #s(literal -1/4 binary64) a)) c))))) (.f64 a #s(literal -2 binary64)))
	32.1%	(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* c (* a -4)) (* b b))) (/.f64 #s(literal -1/4 binary64) (.f64 c a)))))) (.f64 a #s(literal -2 binary64)))
✓	50.5%	(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (*.f64 a #s(literal -2 binary64)))
	33.0%	(/.f64 (+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (.f64 #s(literal -4 binary64) (.f64 c a))))) (*.f64 a #s(literal -2 binary64)))
	15.3%	(/.f64 (+.f64 b #s(approx (/ 1 (sqrt (/ 1 (+ (* c (* a -4)) (* b b))))) (.f64 (neg.f64 b) (fma.f64 #s(literal -2 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 1 binary64))))) (.f64 a #s(literal -2 binary64)))
	23.5%	(/.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))) (*.f64 a a))
	1.4%	(/.f64 #s(approx (- (* (* b 1/2) a) (* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2))) (.f64 (/.f64 (.f64 b (.f64 b b)) (neg.f64 (.f64 b b))) (.f64 a #s(literal -1 binary64)))) (.f64 a a))
	0.9%	(/.f64 #s(approx (- (* (* b 1/2) a) (* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2))) (.f64 (.f64 (neg.f64 (.f64 b (.f64 b b))) (neg.f64 a)) (/.f64 #s(literal 1 binary64) (.f64 b b)))) (.f64 a a))
	1.4%	(/.f64 #s(approx (- (* (* b 1/2) a) (* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2))) (.f64 (neg.f64 b) (.f64 a #s(literal -1 binary64)))) (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 a))))
	2.2%	(/.f64 #s(approx (- (* (* b 1/2) a) (* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2))) (.f64 b a)) (.f64 a a))
✓	30.4%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)) (*.f64 #s(literal 2 binary64) a))
	30.3%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b))) (*.f64 #s(literal 2 binary64) a))
	2.2%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) #s(approx (- ( (* b 1/2) a) (* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2))) (*.f64 b a))))
	24.4%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (.f64 #s(literal -4 binary64) (.f64 c a)))))))
	32.2%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))) a))
	15.1%	(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- b (sqrt (+ (* b b) (* c (* a -4)))))) (.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 a (.f64 b b)) (/.f64 #s(literal 1/2 binary64) c)))))
	15.7%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 a (-.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(approx (+ ( c (* a -4)) (* b b)) (.f64 a (.f64 c #s(literal -4 binary64))))) #s(literal 1/2 binary64)))))
	32.9%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ ( c (* a -4)) (* b b)) (.f64 a (.f64 c #s(literal -4 binary64)))))))
✓	31.4%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b #s(approx (sqrt (+ ( c (* a -4)) (* b b))) (fma.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b) b))))
✓	15.0%	#s(approx (/ (- (* (* b 1/2) a) (* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2))) (* a a)) (/.f64 c b))
	31.3%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a))))
✓	36.6%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) (neg.f64 b)))
	31.4%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a))
	22.1%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (.f64 (neg.f64 b) a) (.f64 a a)))
	41.0%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
	31.3%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 a b)))
	31.5%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))
	31.3%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 b (/.f64 #s(literal -1 binary64) a)))
✓	31.4%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))
	13.7%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)))))
✓	2.6%	#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))) (/.f64 b a))
	2.6%	#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))) (*.f64 (/.f64 #s(literal 1 binary64) a) b))
	5.5%	#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))

Compiler

Compiled 1 495 to 614 computations (58.9% saved)

regimes87.0ms (0.8%)

Memory

-43.0MiB live, 108.5MiB allocated

Counts

57 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

32.0ms	b
17.0ms	c
17.0ms	(/.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))
17.0ms	a

Results

Accuracy	Segments	Branch
58.5%	4	`a`
87.9%	3	`b`
60.5%	5	`c`
75.6%	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)

regimes27.0ms (0.2%)

Memory

-16.4MiB live, 20.5MiB allocated

Counts

27 → 3

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
87.8%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory

19.7MiB live, 19.7MiB allocated

Counts

24 → 3

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
84.0%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
84.0%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes29.0ms (0.3%)

Memory

-9.5MiB live, 26.6MiB allocated

Counts

19 → 2

Calls

Call 1

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

Calls

2 calls:

22.0ms	b
6.0ms	(/.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
51.2%	3	`(/.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))`
70.4%	2	`b`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes5.0ms (0%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

10 → 2

Calls

Call 1

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
70.2%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes27.0ms (0.2%)

Memory

-17.3MiB live, 19.3MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

20.0ms	c
2.0ms	a
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
31.4%	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))`
31.4%	1	`a`
31.4%	1	`c`
43.7%	2	`b`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes7.0ms (0.1%)

Memory

20.2MiB live, 20.2MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	c
2.0ms	a
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	`a`
15.0%	1	`c`
15.0%	1	`b`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes14.0ms (0.1%)

Memory

-23.7MiB live, 14.8MiB 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 (+ (* b b) (* c (* a -4))))))) (/.f64 b a))

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

Calls

4 calls:

9.0ms	a
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	b
1.0ms	c

Results

Accuracy	Segments	Branch
2.6%	1	`b`
2.6%	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))`
2.6%	1	`a`
2.6%	1	`c`

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch42.0ms (0.4%)

Memory

32.3MiB live, 103.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	3.622278200985632e+51	5.920605278082775e+55
23.0ms	-8.897754765473826e-115	-1.1903557648017863e-117

Samples

16.0ms	179×	0	valid
4.0ms	30×	1	valid
3.0ms	15×	2	valid
2.0ms	29×	0	invalid

Compiler

Compiled 415 to 286 computations (31.1% saved)

Precisions

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

ival-mult: 8.0ms (42.8% of total)

ival-sub: 3.0ms (16% of total)

ival-div: 2.0ms (10.7% of total)

ival-sqrt: 2.0ms (10.7% of total)

adjust: 1.0ms (5.3% of total)

ival-neg: 1.0ms (5.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch10.0ms (0.1%)

Memory

-17.3MiB live, 17.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3.622278200985632e+51	5.920605278082775e+55
1.0ms	-8.897754765473826e-115	-1.1903557648017863e-117

Samples

7.0ms	32×	0	valid
0.0ms	4×	0	invalid

Compiler

Compiled 471 to 324 computations (31.2% saved)

Precisions

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

ival-mult: 5.0ms (82.7% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

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

bsearch24.0ms (0.2%)

Memory

0.5MiB live, 43.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	3.4033285485160967e-31	1.2380238334990038e-29
1.0ms	-8.897754765473826e-115	-1.1903557648017863e-117

Samples

16.0ms	112×	0	valid
1.0ms	9×	0	invalid

Compiler

Compiled 462 to 311 computations (32.7% saved)

Precisions

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

ival-mult: 3.0ms (47.7% of total)

ival-sub: 1.0ms (15.9% of total)

ival-div: 1.0ms (15.9% of total)

ival-sqrt: 1.0ms (15.9% of total)

ival-neg: 1.0ms (15.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.4033285485160967e-31	1.2380238334990038e-29
1.0ms	-8.897754765473826e-115	-1.1903557648017863e-117

Compiler

Compiled 462 to 311 computations (32.7% saved)

bsearch26.0ms (0.2%)

Memory

-10.9MiB live, 66.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	-8.735638320817061e-307	2.3683583424509003e-302

Samples

12.0ms	144×	0	valid
4.0ms	51×	0	invalid

Compiler

Compiled 212 to 137 computations (35.4% saved)

Precisions

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

ival-mult: 5.0ms (45.1% of total)

ival-sub: 2.0ms (18% of total)

ival-div: 1.0ms (9% of total)

ival-sqrt: 1.0ms (9% of total)

ival-neg: 1.0ms (9% 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

2.6MiB live, 2.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-8.735638320817061e-307	2.3683583424509003e-302

Compiler

Compiled 185 to 128 computations (30.8% saved)

bsearch19.0ms (0.2%)

Memory

13.4MiB live, 52.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-9.961655389253054e+45	-3.709194536059298e+45

Samples

7.0ms	31×	2	valid
4.0ms	26×	1	valid
3.0ms	11×	3	valid
1.0ms	12×	0	valid
0.0ms	2×	0	invalid

Compiler

Compiled 108 to 75 computations (30.6% saved)

Precisions

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

adjust: 2.0ms (20.4% of total)

ival-sub: 2.0ms (20.4% of total)

ival-sqrt: 2.0ms (20.4% of total)

ival-mult: 2.0ms (20.4% of total)

ival-div: 1.0ms (10.2% of total)

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

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

exact: 0.0ms (0% of total)

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

simplify15.0ms (0.1%)

Memory

-14.0MiB live, 26.9MiB allocated

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative_binary64`
18×	`+-commutative_binary64`
12×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	497
1	115	497
2	126	497
3	134	497
4	138	497
5	139	497

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -4713538480005385/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 50000000000000004595141754071689119042017229857842266112 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 a #s(literal -2 binary64))) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))))
(if (<=.f64 b #s(literal -4713538480005385/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 47999999999999998313476068685604289016663575486242226176 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))))
(if (<=.f64 b #s(literal -4713538480005385/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 7878407263736899/22835963083295358096932575511191922182123945984 binary64)) (/.f64 (+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (.f64 #s(literal -4 binary64) (.f64 c a))))) (.f64 a #s(literal -2 binary64))) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a))))))
(if (<=.f64 b #s(literal -4713538480005385/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 7878407263736899/22835963083295358096932575511191922182123945984 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ ( c (* a -4)) (* b b)) (.f64 a (.f64 c #s(literal -4 binary64))))))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a))))))
(if (<=.f64 b #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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)) (neg.f64 (/.f64 b a))))
(if (<=.f64 b #s(literal -3800000000000000176755408373115385159583006720 binary64)) #s(approx (/ (- (* (* b 1/2) a) (* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2))) (* a a)) (/.f64 c b)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a))))
#s(approx (/ (- (* (* b 1/2) a) (* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2))) (* a a)) (/.f64 c b))
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))) (/.f64 b a))

Outputs
(if (<=.f64 b #s(literal -4713538480005385/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 50000000000000004595141754071689119042017229857842266112 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 a #s(literal -2 binary64))) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))))
(if (<=.f64 b #s(literal -4713538480005385/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 47999999999999998313476068685604289016663575486242226176 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))))
(if (<=.f64 b #s(literal -4713538480005385/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 47999999999999998313476068685604289016663575486242226176 binary64)) (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a)))))
(if (<=.f64 b #s(literal -4713538480005385/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 7878407263736899/22835963083295358096932575511191922182123945984 binary64)) (/.f64 (+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (.f64 #s(literal -4 binary64) (.f64 c a))))) (.f64 a #s(literal -2 binary64))) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a))))))
(if (<=.f64 b #s(literal -4713538480005385/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 7878407263736899/22835963083295358096932575511191922182123945984 binary64)) (/.f64 (+.f64 b (sqrt.f64 #s(approx (+ (* b b) (* c (* a -4))) (.f64 #s(literal -4 binary64) (.f64 a c))))) (.f64 a #s(literal -2 binary64))) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a))))))
(if (<=.f64 b #s(literal -4713538480005385/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 7878407263736899/22835963083295358096932575511191922182123945984 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 #s(approx (+ ( c (* a -4)) (* b b)) (.f64 a (.f64 c #s(literal -4 binary64))))))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 b (/.f64 c (*.f64 b b)) (neg.f64 (/.f64 b a))))))
(if (<=.f64 b #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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)) (neg.f64 (/.f64 b a))))
(if (<=.f64 b #s(literal -3800000000000000176755408373115385159583006720 binary64)) #s(approx (/ (- (* (* b 1/2) a) (* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2))) (* a a)) (/.f64 c b)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (neg.f64 (/.f64 b a))))
#s(approx (/ (- (* (* b 1/2) a) (* a (* (sqrt (+ (* b b) (* c (* a -4)))) 1/2))) (* a a)) (/.f64 c b))
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* b b) (* c (* a -4))))))) (/.f64 b a))

soundness1.1s (9.4%)

Memory

7.9MiB live, 1 010.3MiB allocated

Rules

11 024×	`lower-fma.f64`
11 024×	`lower-fma.f32`
9 868×	`lower-fma.f64`
9 868×	`lower-fma.f32`
7 984×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	51
0	23	51
1	81	51
2	591	48
0	8093	44
0	43	222
0	67	222
1	248	214
2	1875	214
0	8505	214
0	1225	11438
1	4031	11234
0	8569	10780
0	1017	10987
1	3365	10781
0	8753	10321
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×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 401 to 183 computations (54.4% saved)

preprocess69.0ms (0.6%)

Memory: -8.6MiB live, 146.8MiB allocated
Compiler: Compiled 650 to 198 computations (69.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze131.0ms (1.2%)

sample1.6s (13.8%)

preprocess255.0ms (2.3%)

explain222.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify90.0ms (0.8%)

localize58.0ms (0.5%)

series23.0ms (0.2%)

simplify353.0ms (3.1%)

rewrite270.0ms (2.4%)

eval96.0ms (0.9%)

prune116.0ms (1%)

simplify224.0ms (2%)

localize260.0ms (2.3%)

series74.0ms (0.7%)

simplify459.0ms (4.1%)

rewrite410.0ms (3.6%)

eval252.0ms (2.2%)

prune390.0ms (3.5%)

simplify372.0ms (3.3%)

localize244.0ms (2.2%)

series79.0ms (0.7%)

simplify396.0ms (3.5%)

rewrite649.0ms (5.7%)

eval284.0ms (2.5%)

prune504.0ms (4.5%)

simplify419.0ms (3.7%)

localize296.0ms (2.6%)

series58.0ms (0.5%)

simplify656.0ms (5.8%)

rewrite158.0ms (1.4%)

eval223.0ms (2%)

prune223.0ms (2%)

regimes87.0ms (0.8%)

regimes27.0ms (0.2%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes29.0ms (0.3%)

regimes5.0ms (0%)

regimes27.0ms (0.2%)

regimes7.0ms (0.1%)

regimes14.0ms (0.1%)

bsearch42.0ms (0.4%)

bsearch10.0ms (0.1%)

bsearch24.0ms (0.2%)

bsearch2.0ms (0%)

bsearch26.0ms (0.2%)

bsearch1.0ms (0%)

bsearch19.0ms (0.2%)

simplify15.0ms (0.1%)

soundness1.1s (9.4%)

preprocess69.0ms (0.6%)

end0.0ms (0%)

Profiling