Metrics for Quadratic roots, full range

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

analyze132.0ms (1.4%)

Memory

-24.1MiB live, 294.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 19 to 16 computations (15.8% saved)

sample2.2s (23%)

Memory

-365.0MiB live, 2 967.4MiB allocated

Samples

786.0ms	5 572×	0	valid
251.0ms	1 323×	1	valid
228.0ms	1 196×	2	valid
147.0ms	926×	0	invalid
40.0ms	165×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-mult: 435.0ms (41.8% of total)

ival-div: 124.0ms (11.9% of total)

ival-sqrt: 112.0ms (10.8% of total)

ival-add: 96.0ms (9.2% of total)

ival-sub: 93.0ms (8.9% of total)

ival-neg: 88.0ms (8.4% of total)

adjust: 73.0ms (7% of total)

exact: 9.0ms (0.9% of total)

ival-true: 7.0ms (0.7% of total)

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

Bogosity

explain224.0ms (2.3%)

Memory

8.1MiB live, 445.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
108	-	2	(-1.1859043773906102e-269 1.0136580002697724e-232 1.6474511184829956e-43)	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`
53	-	0	-	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`
17	-	5	(3.788737656948009e-77 3.1123485561098577e+288 7.156336519895499e+43)	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
0	-	0	-	`a`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`(.f64 (.f64 #s(literal 4 binary64) a) c)`
0	-	0	-	`(*.f64 b b)`
0	-	0	-	`(*.f64 #s(literal 2 binary64) a)`
0	-	0	-	`c`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(neg.f64 b)`
0	-	0	-	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`
0	-	0	-	`(*.f64 #s(literal 4 binary64) a)`
0	-	0	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`	oflow-rescue	101	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	overflow	101
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	overflow	24
↳	`(*.f64 b b)`	overflow	86
`+.f64`	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`	cancellation	53	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`	u/n	12	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	underflow	5
↳	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`	underflow	27
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	underflow	27
↳	`(*.f64 b b)`	underflow	43
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`	uflow-rescue	5	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	underflow	5
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	underflow	27
↳	`(*.f64 b b)`	underflow	43

Confusion

	Predicted +	Predicted -
+	125	2
-	10	119

Precision

0.9259259259259259

Recall

0.984251968503937

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	125	0	2
-	10	0	119

Precision?

0.9259259259259259

Recall?

0.984251968503937

Freqs

test

number	freq
0	121
1	99
2	36

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

37.0ms	64×	1	valid
34.0ms	354×	0	valid
23.0ms	90×	2	valid
1.0ms	4×	3	valid

Compiler

Compiled 164 to 46 computations (72% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-neg: 29.0ms (41.9% of total)

ival-mult: 13.0ms (18.8% of total)

ival-sub: 7.0ms (10.1% of total)

ival-sqrt: 6.0ms (8.7% of total)

ival-div: 5.0ms (7.2% of total)

adjust: 4.0ms (5.8% of total)

ival-add: 4.0ms (5.8% of total)

exact: 1.0ms (1.4% of total)

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

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

preprocess134.0ms (1.4%)

Memory

-8.4MiB live, 123.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Compiler

Compiled 20 to 14 computations (30% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.4%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Compiler

Compiled 20 to 14 computations (30% saved)

simplify74.0ms (0.8%)

Memory

11.8MiB live, 51.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize54.0ms (0.6%)

Memory

-10.8MiB live, 147.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
accuracy	3.4684242733103767	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
accuracy	11.302011812895831	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
accuracy	24.863391408535456	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))

Samples

18.0ms	177×	0	valid
16.0ms	45×	2	valid
5.0ms	32×	1	valid
1.0ms	2×	3	valid

Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions

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

ival-mult: 11.0ms (40.8% of total)

ival-div: 5.0ms (18.6% of total)

adjust: 3.0ms (11.1% of total)

ival-sqrt: 3.0ms (11.1% of total)

ival-sub: 2.0ms (7.4% of total)

ival-add: 2.0ms (7.4% of total)

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

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.3%)

Memory

-8.4MiB live, 69.8MiB allocated

Counts

5 → 156

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	c	@	inf	((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
3.0ms	b	@	inf	((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
2.0ms	a	@	-inf	((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
2.0ms	b	@	0	((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
2.0ms	c	@	-inf	((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))))

simplify166.0ms (1.7%)

Memory

21.0MiB live, 293.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	545	3273
1	1738	3232
2	6070	3204
0	8235	3047

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 153

Calls

Call 1

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

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

rewrite174.0ms (1.8%)

Memory

-13.7MiB live, 305.9MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 440

Calls

Call 1

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

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

eval78.0ms (0.8%)

Memory: 11.5MiB live, 205.9MiB allocated
Compiler: Compiled 22 484 to 2 048 computations (90.9% saved)

prune190.0ms (2%)

Memory

3.5MiB live, 323.9MiB allocated

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	574	19	593
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	575	19	594

Accuracy

91.6%

Counts

594 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.3%	(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a))
	27.6%	(/.f64 (fma.f64 b b (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)))
▶	53.2%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))))
	48.2%	(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)) (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
	52.6%	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
	29.5%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 b b)))) (.f64 #s(literal 2 binary64) a))
▶	31.7%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 #s(literal -4 binary64) (.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
	48.4%	(/.f64 (+.f64 (neg.f64 b) (exp.f64 (.f64 (log.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) a))
	12.1%	(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (.f64 #s(literal 2 binary64) a))
	30.1%	(/.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
	30.1%	(/.f64 (.f64 (fma.f64 b b (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))) (.f64 #s(literal 2 binary64) a))
	53.2%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) a))
▶	22.1%	(.f64 (fma.f64 b b (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
▶	53.2%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
	23.6%	(exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b))) #s(literal -1 binary64)))
	36.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) b (/.f64 (neg.f64 b) a)))
	33.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))
▶	37.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
	31.0%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (.f64 (neg.f64 (fma.f64 (/.f64 c (.f64 (*.f64 b b) b)) a (/.f64 #s(literal 1 binary64) b))) c))

Compiler

Compiled 810 to 478 computations (41% saved)

simplify171.0ms (1.8%)

Memory

10.4MiB live, 165.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))
cost-diff	192	(fma.f64 b b (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b)))
cost-diff	384	(/.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))
cost-diff	512	(.f64 (fma.f64 b b (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
cost-diff	0	(-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))
cost-diff	0	(/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))
cost-diff	0	(/.f64 #s(literal 1 binary64) a)
cost-diff	1088	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))))
cost-diff	0	(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 #s(literal -4 binary64) (.f64 c a))))
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 #s(literal -4 binary64) (.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
cost-diff	128	(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 #s(literal -4 binary64) (.f64 c a)))))
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 (neg.f64 b) a)
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
cost-diff	0	(sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))
cost-diff	0	(-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) a)
cost-diff	0	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))

Rules

8 048×	`lower-fma.f32`
8 042×	`lower-fma.f64`
3 078×	`lower-*.f32`
3 062×	`lower-*.f64`
2 132×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	358
0	70	356
1	120	348
2	229	348
3	527	346
4	1071	344
5	2938	344
6	5936	342
0	8239	340

Stop Event

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

Calls

Call 1

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

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

localize193.0ms (2%)

Memory

-2.0MiB live, 400.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.9999889904222409	(fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))
accuracy	11.302011812895827	(-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))
accuracy	16.937772941311465	(.f64 (fma.f64 b b (fma.f64 c (.f64 a #s(literal 4 binary64)) (.f64 b b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))
accuracy	24.863391408535467	(sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))
accuracy	0.1328125	(/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))
accuracy	4.151729428849059	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))))
accuracy	11.302011812895827	(-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))
accuracy	24.863391408535467	(sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))
accuracy	3.4684242733103767	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 #s(literal -4 binary64) (.f64 c a))))) (*.f64 #s(literal 2 binary64) a))
accuracy	11.302011812895831	(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 #s(literal -4 binary64) (.f64 c a)))))
accuracy	24.863391408535456	(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 #s(literal -4 binary64) (.f64 c a))))
accuracy	39.56122968461966	#s(approx (- (* b b) (* (* 4 a) c)) (.f64 #s(literal -4 binary64) (.f64 c a)))
accuracy	0	(/.f64 (neg.f64 b) a)
accuracy	0	(neg.f64 b)
accuracy	40.1727378621207	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
accuracy	0.0078125	(fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))
accuracy	3.6168617733103767	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
accuracy	11.302011812895831	(-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)
accuracy	24.863391408535467	(sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))

Samples

52.0ms	177×	0	valid
33.0ms	43×	2	valid
19.0ms	32×	1	valid
9.0ms	4×	3	valid

Compiler

Compiled 350 to 40 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 19.0ms (25.3% of total)

ival-div: 16.0ms (21.3% of total)

adjust: 13.0ms (17.3% of total)

ival-sqrt: 12.0ms (16% of total)

ival-add: 9.0ms (12% of total)

ival-sub: 5.0ms (6.7% of total)

exact: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

series92.0ms (1%)

Memory

-11.7MiB live, 219.9MiB allocated

Counts

20 → 636

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	a	@	inf	((* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (sqrt (- (* b b) (* (* 4 a) c))) (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (* (+ (* b b) (+ (* c (* a 4)) (* b b))) (/ (/ 1/2 a) (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/ (/ 1/2 a) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (+ (* b b) (+ (* c (* a 4)) (* b b))) (+ (* c (* a 4)) (* b b)) (+ (* (* -4 c) a) (* b b)) (- (* b b) (* (* 4 a) c)))
8.0ms	c	@	inf	((* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (sqrt (- (* b b) (* (* 4 a) c))) (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (* (+ (* b b) (+ (* c (* a 4)) (* b b))) (/ (/ 1/2 a) (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/ (/ 1/2 a) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (+ (* b b) (+ (* c (* a 4)) (* b b))) (+ (* c (* a 4)) (* b b)) (+ (* (* -4 c) a) (* b b)) (- (* b b) (* (* 4 a) c)))
7.0ms	b	@	-inf	((* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (sqrt (- (* b b) (* (* 4 a) c))) (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (* (+ (* b b) (+ (* c (* a 4)) (* b b))) (/ (/ 1/2 a) (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/ (/ 1/2 a) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (+ (* b b) (+ (* c (* a 4)) (* b b))) (+ (* c (* a 4)) (* b b)) (+ (* (* -4 c) a) (* b b)) (- (* b b) (* (* 4 a) c)))
7.0ms	c	@	-inf	((* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (sqrt (- (* b b) (* (* 4 a) c))) (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (* (+ (* b b) (+ (* c (* a 4)) (* b b))) (/ (/ 1/2 a) (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/ (/ 1/2 a) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (+ (* b b) (+ (* c (* a 4)) (* b b))) (+ (* c (* a 4)) (* b b)) (+ (* (* -4 c) a) (* b b)) (- (* b b) (* (* 4 a) c)))
6.0ms	b	@	0	((* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (neg b) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (sqrt (- (* b b) (* (* 4 a) c))) (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (* (+ (* b b) (+ (* c (* a 4)) (* b b))) (/ (/ 1/2 a) (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/ (/ 1/2 a) (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (+ (* b b) (+ (* c (* a 4)) (* b b))) (+ (* c (* a 4)) (* b b)) (+ (* (* -4 c) a) (* b b)) (- (* b b) (* (* 4 a) c)))

simplify240.0ms (2.5%)

Memory

17.5MiB live, 418.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 222×	`lower-*.f64`
7 222×	`lower-*.f32`
5 864×	`lower-fma.f64`
5 864×	`lower-fma.f32`
3 052×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1582	15170
1	5272	14699
0	8137	14091

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 630

Calls

Call 1

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

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

rewrite223.0ms (2.3%)

Memory

11.8MiB live, 444.5MiB allocated

Rules

6 002×	`lower-fma.f32`
5 996×	`lower-fma.f64`
4 754×	`lower-/.f32`
4 740×	`lower-/.f64`
4 490×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	252
0	70	250
1	262	242
2	2174	242
0	8771	242

Stop Event

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

Counts

20 → 1 212

Calls

Call 1

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

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

eval322.0ms (3.4%)

Memory: -6.2MiB live, 731.9MiB allocated
Compiler: Compiled 88 803 to 5 684 computations (93.6% saved)

prune551.0ms (5.7%)

Memory

-15.2MiB live, 721.4MiB allocated

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	2 341	25	2 366
Fresh	12	2	14
Picked	3	2	5
Done	0	0	0
Total	2 356	29	2 385

Accuracy

91.7%

Counts

2 385 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.6%	(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64))))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64))))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
	31.6%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (.f64 (.f64 #s(literal -4 binary64) c) a))))))
	50.5%	(/.f64 (/.f64 #s(literal 1 binary64) a) (exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))))) #s(literal -1 binary64))))
	24.7%	(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c)))
▶	37.0%	(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 #s(literal -1 binary64) b)))
	27.5%	(/.f64 (-.f64 (.f64 b b) #s(approx (- ( b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64)))) (.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64)))))))
	31.7%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a))
▶	52.6%	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
	30.4%	(/.f64 (.f64 (-.f64 (.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64))))))) (*.f64 #s(literal 2 binary64) a))
▶	30.3%	(/.f64 (.f64 (-.f64 (.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64))))))
✓	53.2%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
	31.6%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ ( (* -4 c) a) (* b b)) (.f64 (.f64 #s(literal -4 binary64) c) a))) b))
	48.3%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (exp.f64 (.f64 (log.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))) #s(literal 1/2 binary64))) b))
	12.2%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ ( (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b))
	27.8%	(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ ( (* -4 c) a) (* b b))) b) (.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64))))
	29.6%	(.f64 #s(approx (+ ( b b) (+ (* c (* a 4)) (* b b))) (.f64 #s(literal 4 binary64) (.f64 a c))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))))
	14.2%	(exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64)))) b))) #s(literal -1 binary64)))
▶	33.2%	#s(approx (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/.f64 (neg.f64 c) b))
▶	31.0%	#s(approx (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (.f64 (neg.f64 (fma.f64 a (/.f64 c (.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) b))) c))
	36.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) b (/.f64 (neg.f64 b) a)))
	26.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a))
	1.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 b b) b)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 b b) (.f64 #s(literal 0 binary64) (neg.f64 b))))) a))
	24.1%	#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)))
	12.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 b a) (/.f64 b a) (*.f64 #s(literal 0 binary64) (/.f64 b a))))))
✓	37.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
	37.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))
	37.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 b (/.f64 #s(literal -1 binary64) a)))
	17.6%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 a) b)) #s(literal -1 binary64))))
	2.7%	#s(approx (* (+ (* b b) (+ (* c (* a 4)) (* b b))) (/ (/ 1/2 a) (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 b a)))

Compiler

Compiled 1 022 to 633 computations (38.1% saved)

simplify133.0ms (1.4%)

Memory

29.9MiB live, 147.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 b b)
cost-diff	0	(-.f64 (.f64 b b) #s(approx (- ( b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64))))
cost-diff	0	(.f64 (-.f64 (.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a))
cost-diff	512	(/.f64 (.f64 (-.f64 (.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64)))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64))))))
cost-diff	0	(fma.f64 a (/.f64 c (.f64 (.f64 b b) b)) (/.f64 #s(literal 1 binary64) b))
cost-diff	0	#s(approx (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (.f64 (neg.f64 (fma.f64 a (/.f64 c (.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) b))) c))
cost-diff	128	(neg.f64 (fma.f64 a (/.f64 c (.f64 (.f64 b b) b)) (/.f64 #s(literal 1 binary64) b)))
cost-diff	192	(.f64 (neg.f64 (fma.f64 a (/.f64 c (.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) b))) c)
cost-diff	0	(/.f64 #s(literal -1 binary64) b)
cost-diff	0	#s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 #s(literal -1 binary64) b))
cost-diff	0	(/.f64 #s(literal 1 binary64) a)
cost-diff	384	(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 #s(literal -1 binary64) b)))
cost-diff	0	(neg.f64 c)
cost-diff	0	(/.f64 (neg.f64 c) b)
cost-diff	0	#s(approx (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/.f64 (neg.f64 c) b))
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))
cost-diff	0	(neg.f64 b)
cost-diff	128	(+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))))
cost-diff	128	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))

Rules

5 096×	`lower-fma.f32`
5 092×	`lower-fma.f64`
3 968×	`lower-*.f32`
3 952×	`lower-*.f64`
1 668×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	424
0	86	424
1	147	403
2	288	399
3	732	398
4	1768	398
5	4849	398
6	7429	398
0	8293	397

Stop Event

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

Calls

Call 1

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

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

localize297.0ms (3.1%)

Memory

-16.2MiB live, 300.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	14.606245210220235	(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64)))))
accuracy	24.863391408535456	(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64))))
accuracy	36.35412775027874	(-.f64 (.f64 b b) #s(approx (- ( b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64))))
accuracy	39.56122968461966	#s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64)))
accuracy	2.2646463431650177	(.f64 (neg.f64 (fma.f64 a (/.f64 c (.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) b))) c)
accuracy	3.148168947279166	(fma.f64 a (/.f64 c (.f64 (.f64 b b) b)) (/.f64 #s(literal 1 binary64) b))
accuracy	4.975193801266971	(/.f64 c (.f64 (.f64 b b) b))
accuracy	43.003687704649494	#s(approx (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (.f64 (neg.f64 (fma.f64 a (/.f64 c (.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) b))) c))
accuracy	0	(/.f64 #s(literal 1 binary64) a)
accuracy	0	(/.f64 #s(literal -1 binary64) b)
accuracy	4.151729428849059	(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 #s(literal -1 binary64) b)))
accuracy	40.34932926115742	#s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 #s(literal -1 binary64) b))
accuracy	0	(/.f64 (neg.f64 c) b)
accuracy	0	(neg.f64 c)
accuracy	42.77610561712809	#s(approx (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/.f64 (neg.f64 c) b))
accuracy	0.8414543939282502	(/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))
accuracy	3.4684242733103767	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
accuracy	11.302011812895831	(+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))))
accuracy	24.334454182734113	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))))

Samples

125.0ms	88×	2	valid
64.0ms	87×	0	valid
37.0ms	74×	1	valid
6.0ms	7×	3	valid

Compiler

Compiled 368 to 49 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-mult: 41.0ms (28.8% of total)

adjust: 30.0ms (21.1% of total)

ival-sub: 26.0ms (18.3% of total)

ival-div: 25.0ms (17.6% of total)

ival-sqrt: 9.0ms (6.3% of total)

ival-add: 5.0ms (3.5% of total)

ival-neg: 4.0ms (2.8% of total)

exact: 1.0ms (0.7% of total)

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

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

series142.0ms (1.5%)

Memory

-13.6MiB live, 167.2MiB allocated

Counts

25 → 756

Calls

Call 1

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

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

9 calls:

Time	Variable		Point	Expression
23.0ms	a	@	inf	((/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (* 2 a)) (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b))))) (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/ (neg c) b) (neg c) (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/ -1 b) (* (neg (+ (* a (/ c (* (* b b) b))) (/ 1 b))) c) (neg (+ (* a (/ c (* (* b b) b))) (/ 1 b))) (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (+ (* a (/ c (* (* b b) b))) (/ 1 b)) (/ (* (- (* b b) (- (* b b) (* (* 4 a) c))) (/ 1/2 a)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (* (- (* b b) (- (* b b) (* (* 4 a) c))) (/ 1/2 a)) (- (* b b) (- (* b b) (* (* 4 a) c))) (* b b) (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))) (/ 1 (+ (* (* -4 c) a) (* b b))) (/ c (* (* b b) b)) (- (* b b) (* (* 4 a) c)) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))
19.0ms	b	@	0	((/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (* 2 a)) (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b))))) (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/ (neg c) b) (neg c) (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/ -1 b) (* (neg (+ (* a (/ c (* (* b b) b))) (/ 1 b))) c) (neg (+ (* a (/ c (* (* b b) b))) (/ 1 b))) (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (+ (* a (/ c (* (* b b) b))) (/ 1 b)) (/ (* (- (* b b) (- (* b b) (* (* 4 a) c))) (/ 1/2 a)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (* (- (* b b) (- (* b b) (* (* 4 a) c))) (/ 1/2 a)) (- (* b b) (- (* b b) (* (* 4 a) c))) (* b b) (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))) (/ 1 (+ (* (* -4 c) a) (* b b))) (/ c (* (* b b) b)) (- (* b b) (* (* 4 a) c)) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))
9.0ms	b	@	inf	((/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (* 2 a)) (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b))))) (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/ (neg c) b) (neg c) (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/ -1 b) (* (neg (+ (* a (/ c (* (* b b) b))) (/ 1 b))) c) (neg (+ (* a (/ c (* (* b b) b))) (/ 1 b))) (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (+ (* a (/ c (* (* b b) b))) (/ 1 b)) (/ (* (- (* b b) (- (* b b) (* (* 4 a) c))) (/ 1/2 a)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (* (- (* b b) (- (* b b) (* (* 4 a) c))) (/ 1/2 a)) (- (* b b) (- (* b b) (* (* 4 a) c))) (* b b) (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))) (/ 1 (+ (* (* -4 c) a) (* b b))) (/ c (* (* b b) b)) (- (* b b) (* (* 4 a) c)) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))
6.0ms	c	@	inf	((/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (* 2 a)) (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b))))) (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/ (neg c) b) (neg c) (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/ -1 b) (* (neg (+ (* a (/ c (* (* b b) b))) (/ 1 b))) c) (neg (+ (* a (/ c (* (* b b) b))) (/ 1 b))) (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (+ (* a (/ c (* (* b b) b))) (/ 1 b)) (/ (* (- (* b b) (- (* b b) (* (* 4 a) c))) (/ 1/2 a)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (* (- (* b b) (- (* b b) (* (* 4 a) c))) (/ 1/2 a)) (- (* b b) (- (* b b) (* (* 4 a) c))) (* b b) (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))) (/ 1 (+ (* (* -4 c) a) (* b b))) (/ c (* (* b b) b)) (- (* b b) (* (* 4 a) c)) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))
5.0ms	c	@	-inf	((/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (* 2 a)) (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b))))) (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/ (neg c) b) (neg c) (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/ -1 b) (* (neg (+ (* a (/ c (* (* b b) b))) (/ 1 b))) c) (neg (+ (* a (/ c (* (* b b) b))) (/ 1 b))) (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (+ (* a (/ c (* (* b b) b))) (/ 1 b)) (/ (* (- (* b b) (- (* b b) (* (* 4 a) c))) (/ 1/2 a)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (* (- (* b b) (- (* b b) (* (* 4 a) c))) (/ 1/2 a)) (- (* b b) (- (* b b) (* (* 4 a) c))) (* b b) (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))) (/ 1 (+ (* (* -4 c) a) (* b b))) (/ c (* (* b b) b)) (- (* b b) (* (* 4 a) c)) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))

simplify223.0ms (2.3%)

Memory

12.1MiB live, 365.2MiB allocated

Algorithm

1×	egg-herbie

Rules

7 966×	`lower-*.f64`
7 966×	`lower-*.f32`
7 300×	`lower-fma.f64`
7 300×	`lower-fma.f32`
4 250×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1512	14585
1	5033	14218
0	9147	13681

Stop Event

1×	iter limit
1×	node limit

Counts

756 → 750

Calls

Call 1

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

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

rewrite240.0ms (2.5%)

Memory

-16.8MiB live, 421.7MiB allocated

Rules

5 124×	`lower-/.f32`
5 102×	`lower-/.f64`
4 496×	`lower-*.f32`
4 480×	`lower-*.f64`
4 292×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	362
0	86	353
1	311	308
2	2320	304
0	8968	304

Stop Event

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

Counts

25 → 1 422

Calls

Call 1

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

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

eval319.0ms (3.3%)

Memory: 52.5MiB live, 663.3MiB allocated
Compiler: Compiled 66 796 to 6 052 computations (90.9% saved)

prune370.0ms (3.8%)

Memory

-6.5MiB live, 1 042.4MiB allocated

Pruning

37 alts after pruning (33 fresh and 4 done)

	Pruned	Kept	Total
New	2 286	15	2 301
Fresh	4	18	22
Picked	3	2	5
Done	0	2	2
Total	2 293	37	2 330

Accuracy

92.9%

Counts

2 330 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.6%	(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64))))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64))))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
	37.1%	(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 #s(literal -1 binary64) b))) a)
	31.6%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (.f64 (.f64 #s(literal -4 binary64) c) a))))))
▶	50.5%	(/.f64 (/.f64 #s(literal 1 binary64) a) (exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))))) #s(literal -1 binary64))))
	24.7%	(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c)))
✓	37.0%	(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 #s(literal -1 binary64) b)))
	33.7%	(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (exp.f64 (*.f64 (log.f64 (neg.f64 b)) #s(literal -1 binary64)))))
	31.7%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a))
▶	20.8%	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* -4 c) a) (* b b))) (/.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 (.f64 c c) a)) #s(literal -1/16 binary64) (/.f64 #s(literal -1/4 binary64) c)) a))))) (.f64 #s(literal 2 binary64) a))
	29.0%	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* -4 c) a) (* b b))) (/.f64 #s(literal -1/4 binary64) (.f64 a c)))))) (.f64 #s(literal 2 binary64) a))
	48.3%	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) #s(literal -1/2 binary64))))) (.f64 #s(literal 2 binary64) a))
	33.0%	(/.f64 #s(approx (* (- (* b b) (- (* b b) (* (* 4 a) c))) (/ 1/2 a)) (.f64 #s(literal 2 binary64) c)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64))))))
	37.1%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ -2 (- b (sqrt (+ ( (* -4 c) a) (* b b))))) (/.f64 #s(literal -1 binary64) b)) a))
✓	53.2%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
	31.6%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ ( (* -4 c) a) (* b b)) (.f64 (.f64 #s(literal -4 binary64) c) a))) b))
	48.3%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (exp.f64 (.f64 (log.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))) #s(literal 1/2 binary64))) b))
▶	12.2%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ ( (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b))
	27.8%	(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ ( (* -4 c) a) (* b b))) b) (.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64))))
	14.2%	(exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64)))) b))) #s(literal -1 binary64)))
	19.5%	#s(approx (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) b) (.f64 b c)) (*.f64 b b)))
✓	33.2%	#s(approx (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/.f64 (neg.f64 c) b))
	32.3%	#s(approx (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c)))
	11.3%	#s(approx (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (.f64 (/.f64 (-.f64 #s(literal -1 binary64) (.f64 a (/.f64 c (*.f64 b b)))) b) (neg.f64 c)))
	33.1%	#s(approx (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal -1 binary64) c) #s(literal -1 binary64))))
	9.6%	#s(approx (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (.f64 (neg.f64 #s(approx (+ ( a (/ c (* (* b b) b))) (/ 1 b)) (/.f64 (fma.f64 a c (.f64 b b)) (.f64 (*.f64 b b) b)))) c))
	11.2%	#s(approx (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (.f64 (neg.f64 #s(approx (+ ( a (/ c (* (* b b) b))) (/ 1 b)) (/.f64 (.f64 a c) (.f64 (*.f64 b b) b)))) c))
	33.1%	#s(approx (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (.f64 #s(approx (neg (+ ( a (/ c (* (* b b) b))) (/ 1 b))) (/.f64 #s(literal -1 binary64) b)) c))
	13.8%	#s(approx (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 b) c)) #s(literal -1 binary64))))
	36.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) b (/.f64 (neg.f64 b) a)))
▶	26.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a))
	1.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 b b) b)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 b b) (.f64 #s(literal 0 binary64) (neg.f64 b))))) a))
	24.1%	#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)))
	12.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 b a) (/.f64 b a) (*.f64 #s(literal 0 binary64) (/.f64 b a))))))
✓	37.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
	37.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))
	37.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 b (/.f64 #s(literal -1 binary64) a)))
▶	2.7%	#s(approx (* (+ (* b b) (+ (* c (* a 4)) (* b b))) (/ (/ 1/2 a) (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 b a)))

Compiler

Compiled 1 157 to 742 computations (35.9% saved)

simplify131.0ms (1.4%)

Memory

-4.2MiB live, 168.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* -4 c) a) (* b b))) (/.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 (*.f64 c c) a)) #s(literal -1/16 binary64) (/.f64 #s(literal -1/4 binary64) c)) a))))
cost-diff	0	(neg.f64 b)
cost-diff	128	(+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* -4 c) a) (* b b))) (/.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 (*.f64 c c) a)) #s(literal -1/16 binary64) (/.f64 #s(literal -1/4 binary64) c)) a)))))
cost-diff	128	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* -4 c) a) (* b b))) (/.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 (.f64 c c) a)) #s(literal -1/16 binary64) (/.f64 #s(literal -1/4 binary64) c)) a))))) (.f64 #s(literal 2 binary64) a))
cost-diff	0	#s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))
cost-diff	0	(-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b)
cost-diff	0	(/.f64 #s(literal 1/2 binary64) a)
cost-diff	0	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ ( (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b))
cost-diff	0	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a))
cost-diff	64	(-.f64 #s(literal 0 binary64) (*.f64 b b))
cost-diff	192	(+.f64 #s(literal 0 binary64) b)
cost-diff	1024	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b))
cost-diff	0	(/.f64 b a)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) (/.f64 b a))
cost-diff	0	#s(approx (* (+ (* b b) (+ (* c (* a 4)) (* b b))) (/ (/ 1/2 a) (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 b a)))
cost-diff	0	(/.f64 #s(literal 1 binary64) a)
cost-diff	192	(.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))))) #s(literal -1 binary64))
cost-diff	1088	(/.f64 (/.f64 #s(literal 1 binary64) a) (exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))))) #s(literal -1 binary64))))
cost-diff	12544	(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))))) #s(literal -1 binary64)))

Rules

9 066×	`lower-fma.f32`
9 060×	`lower-fma.f64`
4 304×	`lower-*.f32`
4 284×	`lower-*.f64`
1 762×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	549
0	116	528
1	209	523
2	454	499
3	1043	497
4	2083	494
5	5596	492
0	8090	490

Stop Event

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

Calls

Call 1

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

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

localize223.0ms (2.3%)

Memory

-24.0MiB live, 451.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	7.009721328861518	(+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* -4 c) a) (* b b))) (/.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 (*.f64 c c) a)) #s(literal -1/16 binary64) (/.f64 #s(literal -1/4 binary64) c)) a)))))
accuracy	14.000680060614803	(/.f64 (.f64 b b) (.f64 (*.f64 c c) a))
accuracy	19.03843338570348	(sqrt.f64 #s(approx (/ 1 (+ (* (* -4 c) a) (* b b))) (/.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 (*.f64 c c) a)) #s(literal -1/16 binary64) (/.f64 #s(literal -1/4 binary64) c)) a)))
accuracy	32.702942937041485	#s(approx (/ 1 (+ (* (* -4 c) a) (* b b))) (/.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 (*.f64 c c) a)) #s(literal -1/16 binary64) (/.f64 #s(literal -1/4 binary64) c)) a))
accuracy	2.1147897199914936	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ ( (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b))
accuracy	4.703138255361049	(*.f64 a (/.f64 c b))
accuracy	7.009721328861518	(-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b)
accuracy	42.96084280264638	#s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))
accuracy	0	(+.f64 #s(literal 0 binary64) b)
accuracy	0	(*.f64 b b)
accuracy	24.84884979668391	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b))
accuracy	31.448713010911135	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a))
accuracy	0	(/.f64 b a)
accuracy	0.00390625	(*.f64 #s(literal 1/2 binary64) (/.f64 b a))
accuracy	31.505400195877876	#s(approx (* (+ (* b b) (+ (* c (* a 4)) (* b b))) (/ (/ 1/2 a) (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 b a)))
accuracy	3.282663586456003	(log.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (*.f64 b b))))))
accuracy	4.158244990462852	(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))))) #s(literal -1 binary64)))
accuracy	7.009721328861518	(-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))))
accuracy	19.568888062550563	(sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))

Samples

83.0ms	176×	0	valid
23.0ms	21×	2	valid
18.0ms	22×	1	valid
15.0ms	36×	0	invalid
1.0ms	1×	3	valid

Compiler

Compiled 432 to 72 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-mult: 31.0ms (29.6% of total)

ival-div: 27.0ms (25.8% of total)

ival-sqrt: 11.0ms (10.5% of total)

ival-add: 11.0ms (10.5% of total)

ival-sub: 8.0ms (7.6% of total)

adjust: 7.0ms (6.7% of total)

ival-log: 4.0ms (3.8% of total)

ival-exp: 3.0ms (2.9% of total)

exact: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

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

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

series103.0ms (1.1%)

Memory

8.2MiB live, 169.5MiB allocated

Counts

27 → 780

Calls

Call 1

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

Outputs
#s(alt (* -1 (/ b (* a c))) (taylor 0 c) (#s(alt (exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))))) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ b a)) (/ c b)) c) (taylor 0 c) (#s(alt (exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))))) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ b a)) (* c (+ (* -1 (* c (+ (* -2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b)))) c) (taylor 0 c) (#s(alt (exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))))) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -2 (/ a (pow b 3))) (/ a (pow b 3)))) (pow b 2))) (+ (* -1/4 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 2 (/ (pow a 2) (pow b 5))))))) (+ (* -2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b)))) c) (taylor 0 c) (#s(alt (exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))))) #s(literal -1 binary64))) (patch (exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))))) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))))) #s(literal -1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))))) #s(literal -1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))))) #s(literal -1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) a) (exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))))) #s(literal -1 binary64)))) (patch (/.f64 (/.f64 #s(literal 1 binary64) a) (exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))))) #s(literal -1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ (log c) (log (* -1 (/ a b))))) (taylor 0 c) (#s(alt (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))))) #s(literal -1 binary64)) (patch (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (+ (log c) (log (* -1 (/ a b))))) (* -1 (/ (* a c) (pow b 2)))) (taylor 0 c) (#s(alt (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))))) #s(literal -1 binary64)) (patch (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (+ (log c) (log (* -1 (/ a b))))) (* c (+ (* -1 (/ a (pow b 2))) (* -1/2 (* c (+ (* -1 (/ (pow a 2) (pow b 4))) (* 4 (/ (pow a 2) (pow b 4))))))))) (taylor 0 c) (#s(alt (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))))) #s(literal -1 binary64)) (patch (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (+ (log c) (log (* -1 (/ a b))))) (* c (+ (* -1 (/ a (pow b 2))) (* c (+ (* -1/2 (+ (* -1 (/ (pow a 2) (pow b 4))) (* 4 (/ (pow a 2) (pow b 4))))) (* -1/6 (* c (+ (* -12 (/ (pow a 3) (pow b 6))) (+ (* 3/2 (/ (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))) a)) (* 2 (/ (pow a 3) (pow b 6)))))))))))) (taylor 0 c) (#s(alt (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))))) #s(literal -1 binary64)) (patch (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/2 (/ (pow b 3) (* (pow a 2) c))) (taylor 0 c) (#s(alt #s(approx (* (+ (* b b) (+ (* c (* a 4)) (* b b))) (/ (/ 1/2 a) (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (.f64 #s(literal 1/2 binary64) (/.f64 b a))) (patch #s(approx ( (+ (* b b) (+ (* c (* a 4)) (* b b))) (/ (/ 1/2 a) (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (* c (- (* 2 (/ b a)) (/ b a)))) (* 1/2 (/ (pow b 3) (pow a 2)))) c) (taylor 0 c) (#s(alt #s(approx (* (+ (* b b) (+ (* c (* a 4)) (* b b))) (/ (/ 1/2 a) (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (.f64 #s(literal 1/2 binary64) (/.f64 b a))) (patch #s(approx ( (+ (* b b) (+ (* c (* a 4)) (* b b))) (/ (/ 1/2 a) (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* -1/2 (* c (+ (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (/ b a))) (pow b 2))))) (* 1/2 (- (* 2 (/ b a)) (/ b a)))))) c) (taylor 0 c) (#s(alt #s(approx (* (+ (* b b) (+ (* c (* a 4)) (* b b))) (/ (/ 1/2 a) (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (.f64 #s(literal 1/2 binary64) (/.f64 b a))) (patch #s(approx ( (+ (* b b) (+ (* c (* a 4)) (* b b))) (/ (/ 1/2 a) (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* 1/2 (- (* 2 (/ b a)) (/ b a))) (* c (+ (* -1/2 (* c (+ (* -1 (/ (* a (+ (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (/ b a))) (pow b 2)))) (pow b 2))) (+ (* 1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 3))) (* 2 (/ (* (pow a 2) (- (* 2 (/ b a)) (/ b a))) (pow b 4))))))) (* -1/2 (+ (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (/ b a))) (pow b 2))))))))) c) (taylor 0 c) (#s(alt #s(approx (* (+ (* b b) (+ (* c (* a 4)) (* b b))) (/ (/ 1/2 a) (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (.f64 #s(literal 1/2 binary64) (/.f64 b a))) (patch #s(approx ( (+ (* b b) (+ (* c (* a 4)) (* b b))) (/ (/ 1/2 a) (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 b a))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) (patch #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ ( (* -4 c) a) (* b b))) (fma.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ ( (* -4 c) a) (* b b))) (fma.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ ( (* -4 c) a) (* b b))) (fma.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) (taylor 0 c) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ ( (* -4 c) a) (* b b))) (fma.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b)) (patch (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b)) #<representation binary64>) () ())) ())
#s(alt (* -2 (/ (* a c) b)) (taylor 0 c) (#s(alt (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (fma.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b) (patch (-.f64 #s(approx (sqrt (+ ( (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (fma.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b) (patch (-.f64 #s(approx (sqrt (+ ( (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (fma.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b) (patch (-.f64 #s(approx (sqrt (+ ( (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b) #<representation binary64>) () ())) ())
#s(alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) (taylor 0 c) (#s(alt (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (fma.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b) (patch (-.f64 #s(approx (sqrt (+ ( (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (fma.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) (patch #s(approx (sqrt (+ ( (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 c) (#s(alt #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (fma.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) (patch #s(approx (sqrt (+ ( (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (fma.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) (patch #s(approx (sqrt (+ ( (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (fma.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) (patch #s(approx (sqrt (+ ( (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* -4 c) a) (* b b))) (/.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 (.f64 c c) a)) #s(literal -1/16 binary64) (/.f64 #s(literal -1/4 binary64) c)) a))))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* -4 c) a) (* b b))) (/.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 (.f64 c c) a)) #s(literal -1/16 binary64) (/.f64 #s(literal -1/4 binary64) c)) a))))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* -4 c) a) (* b b))) (/.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 (.f64 c c) a)) #s(literal -1/16 binary64) (/.f64 #s(literal -1/4 binary64) c)) a))))) (.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* -4 c) a) (* b b))) (/.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 (.f64 c c) a)) #s(literal -1/16 binary64) (/.f64 #s(literal -1/4 binary64) c)) a))))) (.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))) (patch (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))) #<representation binary64>) () ())) ())
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#s(alt (* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) #<representation binary64>) () ())) ())
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#s(alt (+ (log (* 1/2 (* (sqrt (/ a c)) (sqrt -4)))) (+ (* -1 (log (/ 1 c))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) (+ (* 1/6 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 3) (pow (sqrt -4) 3)))) (* 3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 3) (pow (sqrt -4) 3))))) (pow c 3))) (* 1/2 (/ (+ (* -1 (/ (* (pow b 2) c) (* a (pow (sqrt -4) 2)))) (/ (* (pow b 2) c) (* a (pow (sqrt -4) 2)))) (pow c 2))))))) (taylor inf c) (#s(alt (log.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))))) (patch (log.f64 (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor inf c) (#s(alt (.f64 a (/.f64 c b)) (patch (.f64 a (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor inf c) (#s(alt (.f64 a (/.f64 c b)) (patch (.f64 a (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor inf c) (#s(alt (.f64 a (/.f64 c b)) (patch (.f64 a (/.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (/ (* a c) b) (taylor inf c) (#s(alt (.f64 a (/.f64 c b)) (patch (.f64 a (/.f64 c b)) #<representation binary64>) () ())) ())
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#s(alt (/ (- (* -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) (taylor inf c) (#s(alt #s(approx (/ 1 (+ (* (* -4 c) a) (* b b))) (/.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 (.f64 c c) a)) #s(literal -1/16 binary64) (/.f64 #s(literal -1/4 binary64) c)) a)) (patch #s(approx (/ 1 (+ ( (* -4 c) a) (* b b))) (/.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 (*.f64 c c) a)) #s(literal -1/16 binary64) (/.f64 #s(literal -1/4 binary64) c)) a)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (taylor inf c) (#s(alt (sqrt.f64 #s(approx (/ 1 (+ (* (* -4 c) a) (* b b))) (/.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 (.f64 c c) a)) #s(literal -1/16 binary64) (/.f64 #s(literal -1/4 binary64) c)) a))) (patch (sqrt.f64 #s(approx (/ 1 (+ ( (* -4 c) a) (* b b))) (/.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 (*.f64 c c) a)) #s(literal -1/16 binary64) (/.f64 #s(literal -1/4 binary64) c)) a))) #<representation binary64>) () ())) ())
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#s(alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (/ 1 (+ (* (* -4 c) a) (* b b))) (/.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 (.f64 c c) a)) #s(literal -1/16 binary64) (/.f64 #s(literal -1/4 binary64) c)) a))) (patch (sqrt.f64 #s(approx (/ 1 (+ ( (* -4 c) a) (* b b))) (/.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 (*.f64 c c) a)) #s(literal -1/16 binary64) (/.f64 #s(literal -1/4 binary64) c)) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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))))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (/ 1 (+ (* (* -4 c) a) (* b b))) (/.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 (.f64 c c) a)) #s(literal -1/16 binary64) (/.f64 #s(literal -1/4 binary64) c)) a))) (patch (sqrt.f64 #s(approx (/ 1 (+ ( (* -4 c) a) (* b b))) (/.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 (*.f64 c c) a)) #s(literal -1/16 binary64) (/.f64 #s(literal -1/4 binary64) c)) a))) #<representation binary64>) () ())) ())
#s(alt (+ (* -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))))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (/ 1 (+ (* (* -4 c) a) (* b b))) (/.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 (.f64 c c) a)) #s(literal -1/16 binary64) (/.f64 #s(literal -1/4 binary64) c)) a))) (patch (sqrt.f64 #s(approx (/ 1 (+ ( (* -4 c) a) (* b b))) (/.f64 (fma.f64 (/.f64 (.f64 b b) (.f64 (*.f64 c c) a)) #s(literal -1/16 binary64) (/.f64 #s(literal -1/4 binary64) c)) a))) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (* a (pow c 2))) (taylor -inf a) (#s(alt (/.f64 (.f64 b b) (.f64 (.f64 c c) a)) (patch (/.f64 (.f64 b b) (.f64 (.f64 c c) a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (* a (pow c 2))) (taylor -inf a) (#s(alt (/.f64 (.f64 b b) (.f64 (.f64 c c) a)) (patch (/.f64 (.f64 b b) (.f64 (.f64 c c) a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (* a (pow c 2))) (taylor -inf a) (#s(alt (/.f64 (.f64 b b) (.f64 (.f64 c c) a)) (patch (/.f64 (.f64 b b) (.f64 (.f64 c c) a)) #<representation binary64>) () ())) ())
#s(alt (/ (pow b 2) (* a (pow c 2))) (taylor -inf a) (#s(alt (/.f64 (.f64 b b) (.f64 (.f64 c c) a)) (patch (/.f64 (.f64 b b) (.f64 (.f64 c c) a)) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
18.0ms	c	@	-inf	((exp (* (log (* -1/2 (- b (sqrt (+ (* (* c -4) a) (* b b)))))) -1)) (/ (/ 1 a) (exp (* (log (* -1/2 (- b (sqrt (+ (* (* c -4) a) (* b b)))))) -1))) (* (log (* -1/2 (- b (sqrt (+ (* (* c -4) a) (* b b)))))) -1) (/ 1 a) (* (+ (* b b) (+ (* c (* a 4)) (* b b))) (/ (/ 1/2 a) (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (* 1/2 (/ b a)) (/ b a) (/ (- 0 (* b b)) (+ 0 b)) (+ 0 b) (- 0 (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (* 2 a)) (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b))))) (sqrt (+ (* (* c -4) a) (* b b))) (- b (sqrt (+ (* (* c -4) a) (* b b)))) (log (* -1/2 (- b (sqrt (+ (* (* c -4) a) (* b b)))))) (* b b) (* a (/ c b)) (/ 1 (+ (* (* -4 c) a) (* b b))) (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))) (/ (* b b) (* (* c c) a)))
11.0ms	a	@	0	((exp (* (log (* -1/2 (- b (sqrt (+ (* (* c -4) a) (* b b)))))) -1)) (/ (/ 1 a) (exp (* (log (* -1/2 (- b (sqrt (+ (* (* c -4) a) (* b b)))))) -1))) (* (log (* -1/2 (- b (sqrt (+ (* (* c -4) a) (* b b)))))) -1) (/ 1 a) (* (+ (* b b) (+ (* c (* a 4)) (* b b))) (/ (/ 1/2 a) (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (* 1/2 (/ b a)) (/ b a) (/ (- 0 (* b b)) (+ 0 b)) (+ 0 b) (- 0 (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (* 2 a)) (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b))))) (sqrt (+ (* (* c -4) a) (* b b))) (- b (sqrt (+ (* (* c -4) a) (* b b)))) (log (* -1/2 (- b (sqrt (+ (* (* c -4) a) (* b b)))))) (* b b) (* a (/ c b)) (/ 1 (+ (* (* -4 c) a) (* b b))) (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))) (/ (* b b) (* (* c c) a)))
5.0ms	b	@	inf	((exp (* (log (* -1/2 (- b (sqrt (+ (* (* c -4) a) (* b b)))))) -1)) (/ (/ 1 a) (exp (* (log (* -1/2 (- b (sqrt (+ (* (* c -4) a) (* b b)))))) -1))) (* (log (* -1/2 (- b (sqrt (+ (* (* c -4) a) (* b b)))))) -1) (/ 1 a) (* (+ (* b b) (+ (* c (* a 4)) (* b b))) (/ (/ 1/2 a) (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (* 1/2 (/ b a)) (/ b a) (/ (- 0 (* b b)) (+ 0 b)) (+ 0 b) (- 0 (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (* 2 a)) (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b))))) (sqrt (+ (* (* c -4) a) (* b b))) (- b (sqrt (+ (* (* c -4) a) (* b b)))) (log (* -1/2 (- b (sqrt (+ (* (* c -4) a) (* b b)))))) (* b b) (* a (/ c b)) (/ 1 (+ (* (* -4 c) a) (* b b))) (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))) (/ (* b b) (* (* c c) a)))
5.0ms	b	@	0	((exp (* (log (* -1/2 (- b (sqrt (+ (* (* c -4) a) (* b b)))))) -1)) (/ (/ 1 a) (exp (* (log (* -1/2 (- b (sqrt (+ (* (* c -4) a) (* b b)))))) -1))) (* (log (* -1/2 (- b (sqrt (+ (* (* c -4) a) (* b b)))))) -1) (/ 1 a) (* (+ (* b b) (+ (* c (* a 4)) (* b b))) (/ (/ 1/2 a) (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (* 1/2 (/ b a)) (/ b a) (/ (- 0 (* b b)) (+ 0 b)) (+ 0 b) (- 0 (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (* 2 a)) (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b))))) (sqrt (+ (* (* c -4) a) (* b b))) (- b (sqrt (+ (* (* c -4) a) (* b b)))) (log (* -1/2 (- b (sqrt (+ (* (* c -4) a) (* b b)))))) (* b b) (* a (/ c b)) (/ 1 (+ (* (* -4 c) a) (* b b))) (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))) (/ (* b b) (* (* c c) a)))
4.0ms	b	@	-inf	((exp (* (log (* -1/2 (- b (sqrt (+ (* (* c -4) a) (* b b)))))) -1)) (/ (/ 1 a) (exp (* (log (* -1/2 (- b (sqrt (+ (* (* c -4) a) (* b b)))))) -1))) (* (log (* -1/2 (- b (sqrt (+ (* (* c -4) a) (* b b)))))) -1) (/ 1 a) (* (+ (* b b) (+ (* c (* a 4)) (* b b))) (/ (/ 1/2 a) (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (* 1/2 (/ b a)) (/ b a) (/ (- 0 (* b b)) (+ 0 b)) (+ 0 b) (- 0 (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (* 2 a)) (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b))))) (sqrt (+ (* (* c -4) a) (* b b))) (- b (sqrt (+ (* (* c -4) a) (* b b)))) (log (* -1/2 (- b (sqrt (+ (* (* c -4) a) (* b b)))))) (* b b) (* a (/ c b)) (/ 1 (+ (* (* -4 c) a) (* b b))) (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))) (/ (* b b) (* (* c c) a)))

simplify234.0ms (2.4%)

Memory

-14.5MiB live, 383.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 638×	`lower-*.f64`
7 638×	`lower-*.f32`
6 256×	`lower-fma.f64`
6 256×	`lower-fma.f32`
3 604×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1981	18975
1	6575	18532
0	8093	17934

Stop Event

1×	iter limit
1×	node limit

Counts

780 → 759

Calls

Call 1

Inputs
(* -1 (/ b (* a c)))
(/ (+ (* -1 (/ b a)) (/ c b)) c)
(/ (+ (* -1 (/ b a)) (* c (+ (* -1 (* c (+ (* -2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b)))) c)
(/ (+ (* -1 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -2 (/ a (pow b 3))) (/ a (pow b 3)))) (pow b 2))) (+ (* -1/4 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 2 (/ (pow a 2) (pow b 5))))))) (+ (* -2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b)))) c)
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -1 (+ (log c) (log (* -1 (/ a b)))))
(+ (* -1 (+ (log c) (log (* -1 (/ a b))))) (* -1 (/ (* a c) (pow b 2))))
(+ (* -1 (+ (log c) (log (* -1 (/ a b))))) (* c (+ (* -1 (/ a (pow b 2))) (* -1/2 (* c (+ (* -1 (/ (pow a 2) (pow b 4))) (* 4 (/ (pow a 2) (pow b 4)))))))))
(+ (* -1 (+ (log c) (log (* -1 (/ a b))))) (* c (+ (* -1 (/ a (pow b 2))) (* c (+ (* -1/2 (+ (* -1 (/ (pow a 2) (pow b 4))) (* 4 (/ (pow a 2) (pow b 4))))) (* -1/6 (* c (+ (* -12 (/ (pow a 3) (pow b 6))) (+ (* 3/2 (/ (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))) a)) (* 2 (/ (pow a 3) (pow b 6))))))))))))
(* 1/2 (/ (pow b 3) (* (pow a 2) c)))
(/ (+ (* 1/2 (* c (- (* 2 (/ b a)) (/ b a)))) (* 1/2 (/ (pow b 3) (pow a 2)))) c)
(/ (+ (* 1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* -1/2 (* c (+ (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (/ b a))) (pow b 2))))) (* 1/2 (- (* 2 (/ b a)) (/ b a)))))) c)
(/ (+ (* 1/2 (/ (pow b 3) (pow a 2))) (* c (+ (* 1/2 (- (* 2 (/ b a)) (/ b a))) (* c (+ (* -1/2 (* c (+ (* -1 (/ (* a (+ (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (/ b a))) (pow b 2)))) (pow b 2))) (+ (* 1/4 (/ (* (pow b 3) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 3))) (* 2 (/ (* (pow a 2) (- (* 2 (/ b a)) (/ b a))) (pow b 4))))))) (* -1/2 (+ (* 2 (/ 1 b)) (/ (* a (- (* 2 (/ b a)) (/ b a))) (pow b 2))))))))) c)
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* 2 (/ (* 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))))
(+ (log c) (log (* -1 (/ a b))))
(+ (log c) (+ (log (* -1 (/ a b))) (/ (* a c) (pow b 2))))
(+ (log c) (+ (log (* -1 (/ a b))) (* c (+ (* 1/2 (* c (+ (* -1 (/ (pow a 2) (pow b 4))) (* 4 (/ (pow a 2) (pow b 4)))))) (/ a (pow b 2))))))
(+ (log c) (+ (log (* -1 (/ a b))) (* c (+ (* c (+ (* 1/6 (* c (+ (* -12 (/ (pow a 3) (pow b 6))) (+ (* 3/2 (/ (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))) a)) (* 2 (/ (pow a 3) (pow b 6))))))) (* 1/2 (+ (* -1 (/ (pow a 2) (pow b 4))) (* 4 (/ (pow a 2) (pow b 4))))))) (/ a (pow b 2))))))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ 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 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))
(/ (pow b 2) (* a (pow c 2)))
(/ (pow b 2) (* a (pow c 2)))
(/ (pow b 2) (* a (pow c 2)))
(/ (pow b 2) (* a (pow c 2)))
(* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(/ (+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) c)
(/ (- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) c)
(/ (- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))) c)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (+ (log (* 1/2 (* (sqrt (/ a c)) (sqrt -4)))) (* -1 (log (/ 1 c)))))
(+ (* -1 (+ (log (* 1/2 (* (sqrt (/ a c)) (sqrt -4)))) (* -1 (log (/ 1 c))))) (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4))))
(+ (* -1 (+ (log (* 1/2 (* (sqrt (/ a c)) (sqrt -4)))) (* -1 (log (/ 1 c))))) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow b 2) c) (* a (pow (sqrt -4) 2)))) (/ (* (pow b 2) c) (* a (pow (sqrt -4) 2)))) (pow c 2))) (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))
(+ (* -1 (+ (log (* 1/2 (* (sqrt (/ a c)) (sqrt -4)))) (* -1 (log (/ 1 c))))) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow b 2) c) (* a (pow (sqrt -4) 2)))) (/ (* (pow b 2) c) (* a (pow (sqrt -4) 2)))) (pow c 2))) (+ (* -1/6 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 3) (pow (sqrt -4) 3)))) (* 3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 3) (pow (sqrt -4) 3))))) (pow c 3))) (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4))))))
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 1/2 (/ (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4))))) (pow c 2))) (* 1/2 (/ (- (* -2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c))))
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(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
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(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
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(* -1 (* (sqrt (/ c a)) (sqrt -1)))
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(* (sqrt (/ c a)) (sqrt -1))
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(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
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(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
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(* -1 (* (sqrt (/ c a)) (sqrt -1)))
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(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
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(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* 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))))))
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(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ -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))
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
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(/ (pow b 2) (* a (pow c 2)))
(/ (pow b 2) (* a (pow c 2)))
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(/ (pow b 2) (* a (pow c 2)))
(* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
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b
b
b
b
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(* (sqrt (* a c)) (sqrt -4))
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(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(* -1 (* (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)))
(log (* 1/2 (* (sqrt (* a c)) (sqrt -4))))
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(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ -1/4 (* a c))
(- (* -1/16 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (* 1/4 (/ 1 (* a c))))
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(* (sqrt (/ 1 (* a c))) (sqrt -1/4))
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(/ (pow b 2) (* a (pow c 2)))
(/ (pow b 2) (* a (pow c 2)))
(/ (pow b 2) (* a (pow c 2)))
(/ (pow b 2) (* a (pow c 2)))
(* -1 (/ b (* a c)))
(* b (- (/ 1 (pow b 2)) (/ 1 (* a c))))
(* b (- (+ (* -1 (/ (+ (* -2 (* a c)) (* a c)) (pow b 4))) (/ 1 (pow b 2))) (/ 1 (* a c))))
(* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -2 (* a c)) (* a c))))) (+ (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 2 (* (pow a 2) (pow c 2))))) (pow b 6))) (/ 1 (pow b 2))) (+ (* -2 (/ (* a c) (pow b 4))) (+ (/ 1 (* a c)) (/ (* a c) (pow b 4))))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (+ (log (* -1 (* a c))) (log (/ 1 b))))
(+ (* -1 (+ (log (* -1 (* a c))) (log (/ 1 b)))) (* -1 (/ (* a c) (pow b 2))))
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(* 1/2 (/ (pow b 3) (* (pow a 2) c)))
(* (pow b 3) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/2 (/ 1 (* (pow a 2) c)))))
(* (pow b 3) (+ (* -1/2 (/ (+ c (* 2 c)) (pow b 4))) (+ (/ 1/2 (* a (pow b 2))) (* 1/2 (/ 1 (* (pow a 2) c))))))
(* (pow b 3) (+ (* -1/2 (/ (+ c (* 2 c)) (pow b 4))) (+ (* -1/2 (/ (+ (* -1 (* a (* c (+ c (* 2 c))))) (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))) (* 2 (* a (pow c 2))))) (pow b 6))) (+ (/ 1/2 (* a (pow b 2))) (* 1/2 (/ 1 (* (pow a 2) c)))))))
(* 1/2 (/ b a))
(* 1/2 (/ b a))
(* 1/2 (/ b a))
(* 1/2 (/ b a))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
b
b
b
b
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (pow b 2))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 2 (/ (* 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)
(+ (log (* -1 (* a c))) (log (/ 1 b)))
(+ (log (* -1 (* a c))) (+ (log (/ 1 b)) (/ (* a c) (pow b 2))))
(+ (log (* -1 (* a c))) (+ (log (/ 1 b)) (+ (* 1/24 (/ (+ (* -12 (* (pow a 2) (pow c 2))) (* 48 (* (pow a 2) (pow c 2)))) (pow b 4))) (/ (* a c) (pow b 2)))))
(+ (log (* -1 (* a c))) (+ (log (/ 1 b)) (+ (* 1/720 (/ (+ (* -1440 (* (pow a 3) (pow c 3))) (+ (* 180 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a c))) (* 240 (* (pow a 3) (pow c 3))))) (pow b 6))) (+ (* 1/24 (/ (+ (* -12 (* (pow a 2) (pow c 2))) (* 48 (* (pow a 2) (pow c 2)))) (pow b 4))) (/ (* a c) (pow b 2))))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ 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 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)
(/ (pow b 2) (* a (pow c 2)))
(/ (pow b 2) (* a (pow c 2)))
(/ (pow b 2) (* a (pow c 2)))
(/ (pow b 2) (* a (pow c 2)))
(/ -1 b)
(* -1 (/ (+ 1 (/ (* a c) (pow b 2))) b))
(* -1 (/ (- (+ 1 (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -1 (/ (* a c) (pow b 2)))) b))
(* -1 (/ (- (+ 1 (* -1 (/ (+ (* -4 (* (pow a 3) (pow c 3))) (* -1 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1 (/ (* a c) (pow b 2))))) b))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
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(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* (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))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (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)))))
(+ (log (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (* -1 (log (/ 1 a))))
(+ (log (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (+ (* -1 (log (/ 1 a))) (* -1 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4))))))
(+ (log (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (+ (* -1 (log (/ 1 a))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) (* 1/2 (/ (+ (* -1 (/ (* a (pow b 2)) (* c (pow (sqrt -4) 2)))) (/ (* a (pow b 2)) (* c (pow (sqrt -4) 2)))) (pow a 2))))))
(+ (log (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (+ (* -1 (log (/ 1 a))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) (+ (* 1/6 (/ (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 3) (pow (sqrt -4) 3)))) (* 3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 3) (pow (sqrt -4) 3))))) (pow a 3))) (* 1/2 (/ (+ (* -1 (/ (* a (pow b 2)) (* c (pow (sqrt -4) 2)))) (/ (* a (pow b 2)) (* c (pow (sqrt -4) 2)))) (pow a 2)))))))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ -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)
(* (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)))))
(/ (pow b 2) (* a (pow c 2)))
(/ (pow b 2) (* a (pow c 2)))
(/ (pow b 2) (* a (pow c 2)))
(/ (pow b 2) (* a (pow c 2)))
(* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(* -1 (/ (+ (* 1/2 (/ b c)) (* (sqrt (/ a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/2 (/ (* a b) c))) a)) (* (sqrt (/ a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/2 (/ (* a b) c))) a)) (* (sqrt (/ a c)) (sqrt -1))) a))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (+ (log (* (sqrt (/ c a)) (sqrt -1))) (* -1 (log (/ -1 a)))))
(+ (* -1 (+ (log (* (sqrt (/ c a)) (sqrt -1))) (* -1 (log (/ -1 a))))) (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1)))))
(+ (* -1 (+ (log (* (sqrt (/ c a)) (sqrt -1))) (* -1 (log (/ -1 a))))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 1/2 (/ (+ (* -1/4 (/ (* a (pow b 2)) c)) (* 1/4 (/ (* a (pow b 2)) c))) a))) a)))
(+ (* -1 (+ (log (* (sqrt (/ c a)) (sqrt -1))) (* -1 (log (/ -1 a))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (/ (* a (pow b 2)) c)) (* 1/4 (/ (* a (pow b 2)) c)))) (* 1/6 (/ (+ (* -1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 3) (sqrt -1)))) (* 3/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 3) (sqrt -1))))) a))) a)) (* 1/2 (* (sqrt (/ a c)) (* b (sqrt -1))))) a)))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (- (* -1 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)))) a))) a))
(* 1/2 (/ b a))
(* 1/2 (/ b a))
(* 1/2 (/ b a))
(* 1/2 (/ b a))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (* -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))))))
(+ (log (* (sqrt (/ c a)) (sqrt -1))) (* -1 (log (/ -1 a))))
(+ (log (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (log (/ -1 a))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1))))))
(+ (log (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* -1/2 (/ (+ (* -1/4 (/ (* a (pow b 2)) c)) (* 1/4 (/ (* a (pow b 2)) c))) a))) a))))
(+ (log (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 3) (sqrt -1)))) (* 3/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 3) (sqrt -1))))) a)) (* 1/2 (+ (* -1/4 (/ (* a (pow b 2)) c)) (* 1/4 (/ (* a (pow b 2)) c))))) a)) (* -1/2 (* (sqrt (/ a c)) (* b (sqrt -1))))) a))))
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ (* a c) b)
(/ -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))
(* 1/2 (* (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)))))
(/ (pow b 2) (* a (pow c 2)))
(/ (pow b 2) (* a (pow c 2)))
(/ (pow b 2) (* a (pow c 2)))
(/ (pow b 2) (* a (pow c 2)))

Outputs
(* -1 (/ b (* a c)))
(/.f64 (neg.f64 b) (*.f64 c a))
(/ (+ (* -1 (/ b a)) (/ c b)) c)
(/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c)
(/ (+ (* -1 (/ b a)) (* c (+ (* -1 (* c (+ (* -2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b)))) c)
(/.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (neg.f64 a) (.f64 (.f64 b b) b)) (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) c)
(/ (+ (* -1 (/ b a)) (* c (+ (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -2 (/ a (pow b 3))) (/ a (pow b 3)))) (pow b 2))) (+ (* -1/4 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 2 (/ (pow a 2) (pow b 5))))))) (+ (* -2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b)))) c)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (-.f64 (fma.f64 (.f64 b (/.f64 (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) (.f64 a a))) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 (/.f64 (neg.f64 a) (.f64 (.f64 b b) b)) a) (.f64 b b))) (neg.f64 (/.f64 (neg.f64 a) (.f64 (*.f64 b b) b)))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) c)
(* -1 (/ c b))
(/.f64 (neg.f64 c) b)
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(.f64 (-.f64 (/.f64 (.f64 (neg.f64 a) c) (.f64 (.f64 b b) b)) (/.f64 #s(literal 1 binary64) b)) c)
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 (neg.f64 a) (.f64 (*.f64 b b) b))) c (neg.f64 (/.f64 #s(literal 1 binary64) b))) c)
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 c (/.f64 (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) (.f64 a b))) #s(literal -1/4 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (.f64 (.f64 b b) b))) c (neg.f64 (/.f64 #s(literal 1 binary64) b))) c)
(* -1 (+ (log c) (log (* -1 (/ a b)))))
(neg.f64 (+.f64 (log.f64 (/.f64 (neg.f64 a) b)) (log.f64 c)))
(+ (* -1 (+ (log c) (log (* -1 (/ a b))))) (* -1 (/ (* a c) (pow b 2))))
(-.f64 (/.f64 (.f64 (neg.f64 a) c) (.f64 b b)) (+.f64 (log.f64 (/.f64 (neg.f64 a) b)) (log.f64 c)))
(+ (* -1 (+ (log c) (log (* -1 (/ a b))))) (* c (+ (* -1 (/ a (pow b 2))) (* -1/2 (* c (+ (* -1 (/ (pow a 2) (pow b 4))) (* 4 (/ (pow a 2) (pow b 4)))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) c) (.f64 (/.f64 (.f64 a a) (pow.f64 b #s(literal 4 binary64))) #s(literal 3 binary64)) (/.f64 (neg.f64 a) (.f64 b b))) c (neg.f64 (+.f64 (log.f64 (/.f64 (neg.f64 a) b)) (log.f64 c))))
(+ (* -1 (+ (log c) (log (* -1 (/ a b))))) (* c (+ (* -1 (/ a (pow b 2))) (* c (+ (* -1/2 (+ (* -1 (/ (pow a 2) (pow b 4))) (* 4 (/ (pow a 2) (pow b 4))))) (* -1/6 (* c (+ (* -12 (/ (pow a 3) (pow b 6))) (+ (* 3/2 (/ (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))) a)) (* 2 (/ (pow a 3) (pow b 6))))))))))))
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(.f64 (neg.f64 a) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64) (/.f64 b a)))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (neg.f64 a) (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (neg.f64 b)) a)))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (neg.f64 a) (-.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 a c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) c) a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) a)) b) a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) #s(literal -2 binary64))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 (.f64 c c) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 (.f64 c c) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 5 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) #s(literal -2 binary64))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 (.f64 c c) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(.f64 (neg.f64 a) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 (.f64 c c) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 7 binary64)) (pow.f64 c #s(literal 5 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) a) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) #s(literal 2 binary64))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (neg.f64 a) (-.f64 (/.f64 (neg.f64 b) a) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (neg.f64 a) (-.f64 (neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) b) a)) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (neg.f64 a) (-.f64 (neg.f64 (/.f64 (-.f64 b (/.f64 (fma.f64 (.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) c) a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) a)) a)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64))))
(+ (log (* (sqrt (/ c a)) (sqrt -1))) (* -1 (log (/ -1 a))))
(-.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) (log.f64 (/.f64 #s(literal -1 binary64) a)))
(+ (log (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (log (/ -1 a))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1))))))
(+.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) #s(literal 1/2 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) a)))) (log.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))))
(+ (log (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* -1/2 (/ (+ (* -1/4 (/ (* a (pow b 2)) c)) (* 1/4 (/ (* a (pow b 2)) c))) a))) a))))
(-.f64 (-.f64 (log.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) (log.f64 (/.f64 #s(literal -1 binary64) a))) (/.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) (sqrt.f64 (/.f64 a c)) (/.f64 (.f64 (/.f64 (.f64 (.f64 b b) a) c) #s(literal 0 binary64)) a))) a))
(+ (log (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 3) (sqrt -1)))) (* 3/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 3) (sqrt -1))))) a)) (* 1/2 (+ (* -1/4 (/ (* a (pow b 2)) c)) (* 1/4 (/ (* a (pow b 2)) c))))) a)) (* -1/2 (* (sqrt (/ a c)) (* b (sqrt -1))))) a))))
(-.f64 (-.f64 (log.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) (log.f64 (/.f64 #s(literal -1 binary64) a))) (/.f64 (-.f64 (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b) (sqrt.f64 (/.f64 a c))) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (.f64 (.f64 a a) a) (.f64 (.f64 c c) c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 b b) b))) #s(literal 1/8 binary64)) a) #s(literal -1/6 binary64) (.f64 (.f64 (/.f64 (.f64 (*.f64 b b) a) c) #s(literal 0 binary64)) #s(literal 1/2 binary64))) a)) a))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ (* a c) b)
(*.f64 a (/.f64 c b))
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 c a))
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 b b) (.f64 (*.f64 c c) a)) (/.f64 #s(literal 1/4 binary64) 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))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) c) (/.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 (.f64 c c) c) a)) #s(literal -1/64 binary64) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 b b) (.f64 c c)))) a)) 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))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) c) (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (.f64 (pow.f64 c #s(literal 4 binary64)) a)) #s(literal 1/256 binary64) (.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 c c) c)))) a)) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 b b)) (*.f64 c c))) a)) a))
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) #s(literal 1/2 binary64))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) c) (.f64 (*.f64 a a) a))))) #s(literal -1/16 binary64)))
(+ (* -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)))))
(fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) c) (.f64 (.f64 a a) a))))) #s(literal -1/16 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 5 binary64)))))) #s(literal -1/64 binary64))))
(+ (* -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)))))
(-.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 c c) c) (.f64 (.f64 a a) a))))) #s(literal -1/16 binary64))) (/.f64 (fma.f64 (.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 5 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (.f64 (fma.f64 (/.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) a) (.f64 (.f64 c c) c)) #s(literal -1/256 binary64) (/.f64 (.f64 #s(literal 1/256 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 c #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))) (.f64 (*.f64 a a) a)))
(/ (pow b 2) (* a (pow c 2)))
(/.f64 (.f64 b b) (.f64 (*.f64 c c) a))
(/ (pow b 2) (* a (pow c 2)))
(/.f64 (.f64 b b) (.f64 (*.f64 c c) a))
(/ (pow b 2) (* a (pow c 2)))
(/.f64 (.f64 b b) (.f64 (*.f64 c c) a))
(/ (pow b 2) (* a (pow c 2)))
(/.f64 (.f64 b b) (.f64 (*.f64 c c) a))

rewrite185.0ms (1.9%)

Memory

38.2MiB live, 314.6MiB allocated

Rules

3 576×	`lower-/.f32`
3 556×	`lower-fma.f32`
3 554×	`lower-/.f64`
3 550×	`lower-fma.f64`
3 148×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	428
0	116	416
1	468	390
2	3712	370
0	8989	368

Stop Event

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

Counts

27 → 896

Calls

Call 1

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

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

eval241.0ms (2.5%)

Memory: 25.9MiB live, 479.7MiB allocated
Compiler: Compiled 54 455 to 6 552 computations (88% saved)

prune343.0ms (3.6%)

Memory

-44.1MiB live, 694.4MiB allocated

Pruning

49 alts after pruning (44 fresh and 5 done)

	Pruned	Kept	Total
New	1 777	18	1 795
Fresh	2	26	28
Picked	4	1	5
Done	0	4	4
Total	1 783	49	1 832

Accuracy

92.9%

Counts

1 832 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.6%	(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64))))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64))))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))
	37.1%	(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 #s(literal -1 binary64) b))) a)
	50.2%	(/.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) #s(literal -1/2 binary64)))))
	31.6%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (-.f64 b (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (.f64 (.f64 #s(literal -4 binary64) c) a))))))
	19.8%	(/.f64 (/.f64 #s(literal 1 binary64) a) (exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/2 binary64) #s(approx (- b (sqrt (+ (* (* c -4) a) (* b b)))) (.f64 (.f64 a (/.f64 c b)) #s(literal 2 binary64))))) #s(literal -1 binary64))))
	50.5%	(/.f64 (/.f64 #s(literal 1 binary64) a) (exp.f64 (neg.f64 (log.f64 (.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) #s(literal -1/2 binary64))))))
	24.7%	(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c)))
✓	37.0%	(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/.f64 #s(literal -1 binary64) b)))
	33.7%	(/.f64 (/.f64 #s(literal 1 binary64) a) #s(approx (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (exp.f64 (*.f64 (log.f64 (neg.f64 b)) #s(literal -1 binary64)))))
	22.1%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* -4 c) a) (* b b))) (/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) b) (/.f64 b (.f64 (.f64 c c) a)) (/.f64 #s(literal -1/4 binary64) c)) a)))) b) (.f64 #s(literal 2 binary64) a))
	31.7%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a))
	31.4%	(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 #s(approx (/ 1 (+ (* (* -4 c) a) (* b b))) (/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) b) (/.f64 b (.f64 (.f64 c c) a)) (/.f64 #s(literal -1/4 binary64) c)) a)) #s(literal -1/4 binary64)) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) a))
	31.5%	(/.f64 (+.f64 (neg.f64 b) (pow.f64 #s(approx (/ 1 (+ (* (* -4 c) a) (* b b))) (/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) b) (/.f64 b (.f64 (.f64 c c) a)) (/.f64 #s(literal -1/4 binary64) c)) a)) #s(literal -1/2 binary64))) (.f64 #s(literal 2 binary64) a))
	29.0%	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* (* -4 c) a) (* b b))) (/.f64 #s(literal -1/4 binary64) (.f64 c a)))))) (.f64 #s(literal 2 binary64) a))
	48.3%	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (exp.f64 (.f64 (log.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) #s(literal -1/2 binary64))))) (.f64 #s(literal 2 binary64) a))
	20.8%	(/.f64 (+.f64 (neg.f64 b) (exp.f64 (.f64 (log.f64 #s(approx (/ 1 (+ ( (* -4 c) a) (* b b))) (/.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) b) (/.f64 b (.f64 (.f64 c c) a)) (/.f64 #s(literal -1/4 binary64) c)) a))) #s(literal -1/2 binary64)))) (.f64 #s(literal 2 binary64) a))
	33.0%	(/.f64 #s(approx (* (- (* b b) (- (* b b) (* (* 4 a) c))) (/ 1/2 a)) (.f64 #s(literal 2 binary64) c)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64))))))
	37.1%	(/.f64 #s(literal 1 binary64) (.f64 #s(approx (/ -2 (- b (sqrt (+ ( (* -4 c) a) (* b b))))) (/.f64 #s(literal -1 binary64) b)) a))
✓	53.2%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))
	31.6%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ ( (* -4 c) a) (* b b)) (.f64 (.f64 #s(literal -4 binary64) c) a))) b))
	48.3%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (exp.f64 (.f64 (log.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))) #s(literal 1/2 binary64))) b))
	12.1%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ ( (* -4 c) a) (* b b))) (fma.f64 (.f64 c (.f64 (/.f64 #s(literal 1 binary64) b) a)) #s(literal -2 binary64) b)) b))
✓	12.2%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(approx (sqrt (+ ( (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b))
	27.8%	(.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (sqrt (+ ( (* -4 c) a) (* b b))) b) (.f64 (.f64 a (/.f64 c b)) #s(literal -2 binary64))))
	5.8%	(.f64 (exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64))) (-.f64 #s(approx (sqrt (+ ( (* -4 c) a) (* b b))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) b))
	14.2%	(exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64)))) b))) #s(literal -1 binary64)))
	19.5%	#s(approx (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/.f64 (-.f64 (.f64 #s(literal 0 binary64) b) (.f64 b c)) (*.f64 b b)))
✓	33.2%	#s(approx (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/.f64 (neg.f64 c) b))
	32.3%	#s(approx (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b) c)))
	11.3%	#s(approx (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (.f64 (/.f64 (-.f64 #s(literal -1 binary64) (.f64 a (/.f64 c (*.f64 b b)))) b) (neg.f64 c)))
	33.1%	#s(approx (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (*.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal -1 binary64) c) #s(literal -1 binary64))))
	9.6%	#s(approx (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (.f64 (neg.f64 #s(approx (+ ( a (/ c (* (* b b) b))) (/ 1 b)) (/.f64 (fma.f64 a c (.f64 b b)) (.f64 (*.f64 b b) b)))) c))
	11.2%	#s(approx (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (.f64 (neg.f64 #s(approx (+ ( a (/ c (* (* b b) b))) (/ 1 b)) (/.f64 (.f64 a c) (.f64 (*.f64 b b) b)))) c))
	33.1%	#s(approx (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (.f64 #s(approx (neg (+ ( a (/ c (* (* b b) b))) (/ 1 b))) (/.f64 #s(literal -1 binary64) b)) c))
	13.8%	#s(approx (/ (/ 1 a) (/ -2 (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 b) c)) #s(literal -1 binary64))))
	36.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 c (*.f64 b b)) b (/.f64 (neg.f64 b) a)))
	2.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -2 binary64)) (+.f64 #s(literal 0 binary64) b)) a))
	14.0%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 (.f64 b b) b) b) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) (+.f64 #s(literal 0 binary64) b)) a))
	16.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 b b)) (.f64 (.f64 (.f64 b b) b) (/.f64 #s(literal 1 binary64) (*.f64 b b)))) a))
	26.8%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) b) a))
	2.3%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (*.f64 b b) b) a))
	1.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (/.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) b)) a))
	24.1%	#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)))
	12.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 b a) (/.f64 b a) (*.f64 #s(literal 0 binary64) (/.f64 b a))))))
✓	37.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
	2.0%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64))) a))
	2.7%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b a))
	37.2%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) b)))
	37.1%	#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 b (/.f64 #s(literal -1 binary64) a)))

Compiler

Compiled 2 114 to 866 computations (59% saved)

regimes93.0ms (1%)

Memory

20.7MiB live, 178.0MiB allocated

Counts

78 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

23.0ms	b
22.0ms	c
22.0ms	a
21.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
55.3%	2	`a`
86.7%	3	`b`
53.4%	1	`c`
74.5%	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes12.0ms (0.1%)

Memory

-13.4MiB live, 25.7MiB allocated

Counts

33 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
86.5%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Memory

23.6MiB live, 23.6MiB allocated

Counts

31 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
82.4%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory

-21.9MiB live, 17.3MiB allocated

Counts

23 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
82.4%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes16.0ms (0.2%)

Memory

-11.8MiB live, 29.7MiB allocated

Counts

22 → 2

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
7.0ms	b

Results

Accuracy	Segments	Branch
49.5%	3	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
68.1%	2	`b`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
37.2%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
37.2%	1	`c`
37.2%	1	`a`
37.2%	1	`b`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes6.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
2.7%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
2.7%	1	`a`
2.7%	1	`c`
2.7%	1	`b`

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch47.0ms (0.5%)

Memory

4.3MiB live, 82.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
28.0ms	1.49165951806479e-51	2.401450876786915e-32
13.0ms	-6.842623911921472e+155	-6.319344595224211e+152

Samples

16.0ms	194×	0	valid
6.0ms	33×	2	valid
6.0ms	45×	1	valid
2.0ms	30×	0	invalid

Compiler

Compiled 533 to 377 computations (29.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 9.0ms (40.3% of total)

ival-div: 3.0ms (13.4% of total)

ival-sqrt: 3.0ms (13.4% of total)

adjust: 2.0ms (9% of total)

ival-sub: 2.0ms (9% of total)

ival-add: 2.0ms (9% of total)

ival-neg: 1.0ms (4.5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Memory

-1.2MiB live, 37.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.49165951806479e-51	2.401450876786915e-32
19.0ms	-2.6766851495418673e+75	-1.973081037983175e+66

Samples

13.0ms	144×	0	valid
0.0ms	5×	0	invalid

Compiler

Compiled 618 to 408 computations (34% saved)

Precisions

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

ival-mult: 4.0ms (43.3% of total)

ival-sqrt: 2.0ms (21.6% of total)

ival-div: 1.0ms (10.8% of total)

ival-add: 1.0ms (10.8% of total)

ival-sub: 1.0ms (10.8% of total)

ival-neg: 1.0ms (10.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Memory

0.0MiB live, 40.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.49165951806479e-51	2.401450876786915e-32
20.0ms	-4.4269987748381955e-53	-7.211273300650873e-59

Samples

12.0ms	144×	0	valid
2.0ms	20×	0	invalid

Compiler

Compiled 580 to 389 computations (32.9% saved)

Precisions

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

ival-mult: 4.0ms (46.5% of total)

ival-div: 1.0ms (11.6% of total)

ival-add: 1.0ms (11.6% of total)

ival-sub: 1.0ms (11.6% of total)

ival-sqrt: 1.0ms (11.6% of total)

ival-neg: 1.0ms (11.6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Memory

-12.0MiB live, 27.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.49165951806479e-51	2.401450876786915e-32
13.0ms	-4.4269987748381955e-53	-7.211273300650873e-59

Samples

7.0ms	96×	0	valid
2.0ms	10×	0	invalid

Compiler

Compiled 580 to 389 computations (32.9% saved)

Precisions

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

ival-mult: 3.0ms (46.3% of total)

ival-div: 1.0ms (15.4% of total)

ival-sqrt: 1.0ms (15.4% of total)

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch26.0ms (0.3%)

Memory

9.3MiB live, 48.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	3.7262349076146117e-299	1.8847555163882355e-290

Samples

11.0ms	144×	0	valid
6.0ms	60×	0	invalid

Compiler

Compiled 185 to 128 computations (30.8% saved)

Precisions

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

ival-mult: 5.0ms (44.1% of total)

ival-neg: 2.0ms (17.6% of total)

ival-div: 1.0ms (8.8% of total)

ival-add: 1.0ms (8.8% of total)

ival-sub: 1.0ms (8.8% of total)

ival-sqrt: 1.0ms (8.8% of total)

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

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

exact: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Memory

-20.8MiB live, 18.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	76	396
1	103	395
2	132	395
3	146	395
4	154	395
5	156	395

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -649999999999999971916104939728745337062066139527609726905967871822826776880351796550849180162488397262648748827097743979974356480562636995357757770039296 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 7713302612443153/3213876088517980551083924184682325205044405987565585670602752 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -2599999999999999849176882165325874089671940668047681569937955535998762876928 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 c (.f64 b b)) b (/.f64 (neg.f64 b) a))) (if (<=.f64 b #s(literal 7713302612443153/3213876088517980551083924184682325205044405987565585670602752 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -6890703552635699/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 c (.f64 b b)) b (/.f64 (neg.f64 b) a))) (if (<=.f64 b #s(literal 7713302612443153/3213876088517980551083924184682325205044405987565585670602752 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -565391060729083/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 c (.f64 b b)) b (/.f64 (neg.f64 b) a))) (if (<=.f64 b #s(literal 7713302612443153/3213876088517980551083924184682325205044405987565585670602752 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (.f64 (.f64 #s(literal -4 binary64) c) a))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal 4602094425247529/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b a))

Outputs
(if (<=.f64 b #s(literal -649999999999999971916104939728745337062066139527609726905967871822826776880351796550849180162488397262648748827097743979974356480562636995357757770039296 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 7713302612443153/3213876088517980551083924184682325205044405987565585670602752 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -649999999999999971916104939728745337062066139527609726905967871822826776880351796550849180162488397262648748827097743979974356480562636995357757770039296 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 7713302612443153/3213876088517980551083924184682325205044405987565585670602752 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 a #s(literal 4 binary64)) c))) b) (.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -2599999999999999849176882165325874089671940668047681569937955535998762876928 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 c (.f64 b b)) b (/.f64 (neg.f64 b) a))) (if (<=.f64 b #s(literal 7713302612443153/3213876088517980551083924184682325205044405987565585670602752 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -2599999999999999849176882165325874089671940668047681569937955535998762876928 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 c (.f64 b b)) b (/.f64 (neg.f64 b) a))) (if (<=.f64 b #s(literal 7713302612443153/3213876088517980551083924184682325205044405987565585670602752 binary64)) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -6890703552635699/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 c (.f64 b b)) b (/.f64 (neg.f64 b) a))) (if (<=.f64 b #s(literal 7713302612443153/3213876088517980551083924184682325205044405987565585670602752 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b b) (* (* 4 a) c)) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- ( b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -565391060729083/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 c (.f64 b b)) b (/.f64 (neg.f64 b) a))) (if (<=.f64 b #s(literal 7713302612443153/3213876088517980551083924184682325205044405987565585670602752 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (.f64 (.f64 #s(literal -4 binary64) c) a))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal -565391060729083/1766847064778384329583297500742918515827483896875618958121606201292619776 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (fma.f64 (/.f64 c (.f64 b b)) b (/.f64 (neg.f64 b) a))) (if (<=.f64 b #s(literal 7713302612443153/3213876088517980551083924184682325205044405987565585670602752 binary64)) (.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -4 c) a) (* b b)) (.f64 (.f64 #s(literal -4 binary64) c) a))) b) (/.f64 #s(literal 1/2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b))))
(if (<=.f64 b #s(literal 4602094425247529/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a))
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 b a))

soundness788.0ms (8.2%)

Memory

15.2MiB live, 771.3MiB allocated

Rules

11 458×	`lower-fma.f64`
11 458×	`lower-fma.f32`
7 766×	`lower-*.f64`
7 766×	`lower-*.f32`
7 222×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	428
0	116	416
1	468	390
2	3712	370
0	8989	368
0	545	3273
1	1738	3232
2	6070	3204
0	8235	3047
0	44	252
0	70	250
1	262	242
2	2174	242
0	8771	242
0	1582	15170
1	5272	14699
0	8137	14091
0	14	51
0	23	51
1	76	49
2	536	48
3	6864	48
0	8158	44

Stop Event

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

Compiler

Compiled 471 to 216 computations (54.1% saved)

preprocess84.0ms (0.9%)

Memory: -10.1MiB live, 147.7MiB allocated
Compiler: Compiled 392 to 144 computations (63.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze132.0ms (1.4%)

sample2.2s (23%)

explain224.0ms (2.3%)

preprocess134.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify74.0ms (0.8%)

localize54.0ms (0.6%)

series27.0ms (0.3%)

simplify166.0ms (1.7%)

rewrite174.0ms (1.8%)

eval78.0ms (0.8%)

prune190.0ms (2%)

simplify171.0ms (1.8%)

localize193.0ms (2%)

series92.0ms (1%)

simplify240.0ms (2.5%)

rewrite223.0ms (2.3%)

eval322.0ms (3.4%)

prune551.0ms (5.7%)

simplify133.0ms (1.4%)

localize297.0ms (3.1%)

series142.0ms (1.5%)

simplify223.0ms (2.3%)

rewrite240.0ms (2.5%)

eval319.0ms (3.3%)

prune370.0ms (3.8%)

simplify131.0ms (1.4%)

localize223.0ms (2.3%)

series103.0ms (1.1%)

simplify234.0ms (2.4%)

rewrite185.0ms (1.9%)

eval241.0ms (2.5%)

prune343.0ms (3.6%)

regimes93.0ms (1%)

regimes12.0ms (0.1%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes16.0ms (0.2%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch47.0ms (0.5%)

bsearch22.0ms (0.2%)

bsearch23.0ms (0.2%)

bsearch16.0ms (0.2%)

bsearch26.0ms (0.3%)

simplify11.0ms (0.1%)

soundness788.0ms (8.2%)

preprocess84.0ms (0.9%)

end0.0ms (0%)

Profiling