Metrics for quadp (p42, positive)

analyze141.0ms (1.4%)

Memory

-17.4MiB live, 171.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 19 to 16 computations (15.8% saved)

sample1.5s (14.4%)

Memory

44.4MiB live, 1 437.9MiB allocated

Samples

515.0ms	5 522×	0	valid
260.0ms	1 229×	2	valid
188.0ms	1 305×	1	valid
85.0ms	931×	0	invalid
52.0ms	200×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 760.0ms

ival-mult: 270.0ms (35.5% of total)

ival-sqrt: 109.0ms (14.3% of total)

ival-div: 96.0ms (12.6% of total)

ival-add: 86.0ms (11.3% of total)

ival-neg: 65.0ms (8.6% of total)

ival-sub: 63.0ms (8.3% of total)

adjust: 53.0ms (7% of total)

exact: 9.0ms (1.2% of total)

ival-true: 6.0ms (0.8% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

preprocess167.0ms (1.6%)

Memory

33.6MiB live, 149.2MiB allocated

Algorithm

2×	egg-herbie

Rules

1 670×	`div-sub`
1 120×	`accelerator-lowering-fma.f32`
1 120×	`accelerator-lowering-fma.f64`
1 032×	`sub-neg`
792×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	175
1	169	160
2	431	160
3	1262	160
4	3340	160
5	6300	160
0	14	17
1	32	16
2	65	16
3	147	16
4	223	16
5	361	16
6	644	16
7	1108	16
8	2218	16
9	2503	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×	node limit

Calls

Call 1

Inputs
(/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))

Outputs

(/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))

(fma.f64 (-.f64 (sqrt.f64 (fma.f64 a (fma.f64 c #s(literal -4 binary64) #s(literal 0 binary64)) (fma.f64 b b #s(literal 0 binary64)))) b) (/.f64 #s(literal 1/2 binary64) a) #s(literal 0 binary64))

Call 2

Inputs
(/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
(/ (+ (neg b) (sqrt (- (* b b) (* 4 (* (neg a) c))))) (* 2 (neg a)))
(/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* 4 (* a c))))) (* 2 a))
(/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a (neg c)))))) (* 2 a))
(neg (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* (neg a) c))))) (* 2 (neg a))))
(neg (/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* 4 (* a c))))) (* 2 a)))
(neg (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a (neg c)))))) (* 2 a)))
(/ (+ (neg a) (sqrt (- (* a a) (* 4 (* b c))))) (* 2 b))
(/ (+ (neg b) (sqrt (- (* b b) (* 4 (* c a))))) (* 2 c))
(/ (+ (neg c) (sqrt (- (* c c) (* 4 (* a b))))) (* 2 a))

Outputs
(/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
(/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* a 2))
(/ (+ (neg b) (sqrt (- (* b b) (* 4 (* (neg a) c))))) (* 2 (neg a)))
(/ (- (sqrt (+ (* b b) (* 4 (* a c)))) b) (* a -2))
(/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* 4 (* a c))))) (* 2 a))
(/ (+ b (sqrt (+ (* b b) (* a (* c -4))))) (* a 2))
(/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a (neg c)))))) (* 2 a))
(/ (- (sqrt (+ (* b b) (* 4 (* a c)))) b) (* a 2))
(neg (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* (neg a) c))))) (* 2 (neg a))))
(/ (- (sqrt (+ (* b b) (* 4 (* a c)))) b) (* a 2))
(neg (/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* 4 (* a c))))) (* 2 a)))
(/ (+ b (sqrt (+ (* b b) (* a (* c -4))))) (* a -2))
(neg (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a (neg c)))))) (* 2 a)))
(/ (- (sqrt (+ (* b b) (* 4 (* a c)))) b) (* a -2))
(/ (+ (neg a) (sqrt (- (* a a) (* 4 (* b c))))) (* 2 b))
(/ (- (sqrt (+ (* a a) (* b (* c -4)))) a) (* b 2))
(/ (+ (neg b) (sqrt (- (* b b) (* 4 (* c a))))) (* 2 c))
(/ (- (sqrt (+ (* b b) (* a (* c -4)))) b) (* c 2))
(/ (+ (neg c) (sqrt (- (* c c) (* 4 (* a b))))) (* 2 a))
(/ (- (sqrt (+ (* c c) (* b (* a -4)))) c) (* a 2))

explain197.0ms (1.9%)

Memory

-18.2MiB live, 280.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
100	0	-	-	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))`
44	0	-	-	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`
18	0	-	-	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
2	0	-	-	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`
0	0	-	-	`a`
0	2	(3.5899470248187716e-304 8.117801778196259e+134 3.710211290032898e-21)	-	`(.f64 #s(literal 4 binary64) (.f64 a c))`
0	0	-	-	`(*.f64 a c)`
0	0	-	-	`#s(literal 4 binary64)`
0	0	-	-	`(*.f64 b b)`
0	0	-	-	`(*.f64 #s(literal 2 binary64) a)`
0	0	-	-	`c`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(neg.f64 b)`
0	0	-	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))`	oflow-rescue	93	0
↳	`(*.f64 b b)`	overflow	78
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	overflow	23
↳	`(*.f64 a c)`	overflow	23
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	overflow	93
`+.f64`	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`	cancellation	44	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`	u/n	17	0
↳	`(*.f64 b b)`	underflow	44
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	underflow	39
↳	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`	underflow	25
↳	`(*.f64 a c)`	underflow	41
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	underflow	7
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))`	uflow-rescue	7	0
↳	`(*.f64 b b)`	underflow	44
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	underflow	39
↳	`(*.f64 a c)`	underflow	41
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	underflow	7
`-.f64`	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	nan-rescue	2	0
↳	`(*.f64 b b)`	overflow	78
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	overflow	23
↳	`(*.f64 a c)`	overflow	23
`/.f64`	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`	n/o	1	0
↳	`(*.f64 #s(literal 2 binary64) a)`	overflow	1

Confusion

	Predicted +	Predicted -
+	129	0
-	13	114

Precision

0.9084507042253521

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	129	0	0
-	13	0	114

Precision?

0.9084507042253521

Recall?

1.0

Freqs

test

number	freq
0	114
1	121
2	20
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms	376×	0	valid
17.0ms	72×	2	valid
9.0ms	54×	1	valid
3.0ms	10×	3	valid

Compiler

Compiled 184 to 60 computations (67.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 15.0ms (37.7% of total)

ival-sqrt: 6.0ms (15.1% of total)

ival-div: 5.0ms (12.6% of total)

ival-add: 4.0ms (10.1% of total)

ival-sub: 3.0ms (7.5% of total)

adjust: 3.0ms (7.5% of total)

ival-neg: 3.0ms (7.5% of total)

exact: 1.0ms (2.5% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.2%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Compiler

Compiled 20 to 14 computations (30% saved)

simplify89.0ms (0.9%)

Memory

3.1MiB live, 41.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

1 120×	`accelerator-lowering-fma.f32`
1 120×	`accelerator-lowering-fma.f64`
744×	`-lowering-.f32`
744×	`-lowering-.f64`
430×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	70
1	32	68
2	65	68
3	147	68
4	223	68
5	361	68
6	644	68
7	1108	68
8	2218	68
9	2503	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

Calls

Call 1

Inputs
(/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
(+ (neg b) (sqrt (- (* b b) (* 4 (* a c)))))
(neg b)
b
(sqrt (- (* b b) (* 4 (* a c))))
(- (* b b) (* 4 (* a c)))
(* b b)
(* 4 (* a c))
4
(* a c)
a
c
(* 2 a)
2

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

localize61.0ms (0.6%)

Memory

0.6MiB live, 39.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))
✓	accuracy	93.7%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))
✓	accuracy	84.4%	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))
✓	accuracy	63.6%	(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))

Samples

28.0ms	188×	0	valid
9.0ms	36×	2	valid
5.0ms	27×	1	valid
2.0ms	5×	3	valid

Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions

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

ival-sqrt: 14.0ms (46% of total)

ival-mult: 7.0ms (23% of total)

ival-sub: 2.0ms (6.6% of total)

ival-div: 2.0ms (6.6% of total)

ival-neg: 2.0ms (6.6% of total)

ival-add: 2.0ms (6.6% of total)

adjust: 1.0ms (3.3% of total)

exact: 0.0ms (0% of total)

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

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

series28.0ms (0.3%)

Memory

-16.3MiB live, 25.2MiB allocated

Counts

4 → 144

Calls

Call 1

Inputs
#<alt (+ (neg b) (sqrt (- (* b b) (* 4 (* a c)))))>
#<alt (- (* b b) (* 4 (* a c)))>
#<alt (/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))>
#<alt (sqrt (- (* b b) (* 4 (* a c))))>

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

Calls

36 calls:

Time	Variable		Point	Expression
5.0ms	a	@	0	(+ (neg b) (sqrt (- (* b b) (* 4 (* a c)))))
3.0ms	a	@	inf	(+ (neg b) (sqrt (- (* b b) (* 4 (* a c)))))
1.0ms	b	@	inf	(/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
1.0ms	c	@	inf	(sqrt (- (* b b) (* 4 (* a c))))
1.0ms	b	@	0	(/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))

rewrite334.0ms (3.2%)

Memory

26.4MiB live, 452.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 852×	`accelerator-lowering-fma.f32`
4 852×	`accelerator-lowering-fma.f64`
3 908×	`-lowering-.f32`
3 908×	`-lowering-.f64`
2 328×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	49
1	68	47
2	525	47
3	6857	47
0	8150	43

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 409

Calls

Call 1

Inputs
(+ (neg b) (sqrt (- (* b b) (* 4 (* a c)))))
(- (* b b) (* 4 (* a c)))
(/ (+ (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a))
(sqrt (- (* b b) (* 4 (* a c))))

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

simplify499.0ms (4.8%)

Memory

-18.9MiB live, 662.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 458×	`accelerator-lowering-fma.f32`
11 458×	`accelerator-lowering-fma.f64`
7 766×	`-lowering-.f32`
7 766×	`-lowering-.f64`
2 546×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	545	3249
1	1738	3208
2	6083	3180
0	8243	3023

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

Outputs
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) b))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 b (fma.f64 b (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c))))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/32 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1 binary64)) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
(* -2 (/ (* a c) b))
(.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/.f64 (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (.f64 a (.f64 c c)) (.f64 b b)) (*.f64 a c))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c))))) (.f64 (.f64 b b) (.f64 b b))) (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (.f64 a (.f64 c c)) (.f64 b b)) (*.f64 a c)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c))))) (.f64 (.f64 b b) (.f64 b b))) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (.f64 a (.f64 c c)) (.f64 b b)) (.f64 a c)) (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (pow.f64 b #s(literal 6 binary64))))))) b)
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(.f64 b (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 b b)) #s(literal 2 binary64))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (.f64 b b)) (/.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 b b) (.f64 b b)))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(.f64 b (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (.f64 b b)) (/.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 b b) (.f64 b b)))) (fma.f64 #s(literal -4 binary64) (.f64 (.f64 a (.f64 a a)) (/.f64 (.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 2 binary64)))))
(* -2 (/ (* a c) b))
(.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(.f64 (.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (.f64 c c) (.f64 b (*.f64 b b))) (/.f64 c b)))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(.f64 a (fma.f64 a (fma.f64 (/.f64 (.f64 c (.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (.f64 a #s(literal -4 binary64)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) (/.f64 (.f64 #s(literal -4 binary64) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))))
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b (-.f64 #s(literal 0 binary64) a))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(.f64 a (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b (-.f64 #s(literal 0 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)))) (/ b a)))
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eval75.0ms (0.7%)

Memory: 22.0MiB live, 176.2MiB allocated
Compiler: Compiled 22 762 to 1 970 computations (91.3% saved)

prune92.0ms (0.9%)

Memory

-21.5MiB live, 215.5MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	537	16	553
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	538	16	554

Accuracy

91.3%

Counts

554 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.8%	(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a)))
▶	23.2%	(/.f64 (fma.f64 b b (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 a #s(literal -2 binary64))))
	10.6%	(/.f64 (+.f64 (neg.f64 b) (fma.f64 a (.f64 #s(literal -2 binary64) (/.f64 c b)) b)) (.f64 #s(literal 2 binary64) a))
	45.5%	(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (*.f64 #s(literal 2 binary64) a))
▶	51.7%	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) (.f64 #s(literal 2 binary64) a))
	35.0%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
	10.2%	(/.f64 (+.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a))
	36.0%	(/.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) #s(literal 1/2 binary64)) a)
▶	22.0%	(/.f64 (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
	37.2%	(/.f64 b (-.f64 #s(literal 0 binary64) a))
	35.9%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))
	35.9%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) a))
▶	29.2%	(-.f64 #s(literal 0 binary64) (/.f64 c b))
▶	35.9%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))
	26.3%	(.f64 c (fma.f64 c (fma.f64 (.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (.f64 c #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) a) (.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))
	26.3%	(.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (.f64 a c) (.f64 b (.f64 b b)))))

Compiler

Compiled 602 to 396 computations (34.2% saved)

simplify251.0ms (2.4%)

Memory

-32.1MiB live, 278.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 4 binary64) c)
✓	cost-diff	0	(fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))
✓	cost-diff	0	(/.f64 (fma.f64 b b (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 a #s(literal -2 binary64))))
✓	cost-diff	192	(fma.f64 b b (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c))))
✓	cost-diff	0	(fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))
✓	cost-diff	0	(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))
✓	cost-diff	0	(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) a)
✓	cost-diff	0	(*.f64 a #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 a #s(literal -2 binary64)) b)
✓	cost-diff	128	(*.f64 #s(literal 2 binary64) a)
✓	cost-diff	1472	(/.f64 (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
✓	cost-diff	0	(/.f64 c b)
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (/.f64 c b))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) (.f64 #s(literal 2 binary64) a))
✓	cost-diff	128	(*.f64 #s(literal 2 binary64) a)
✓	cost-diff	192	(+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))

Rules

4 798×	`-lowering-.f32`
4 798×	`-lowering-.f64`
3 240×	`accelerator-lowering-fma.f32`
3 240×	`accelerator-lowering-fma.f64`
2 444×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	324
1	93	318
2	227	318
3	471	318
4	927	318
5	2592	318
6	3896	318
7	5989	318
0	8176	300

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* a (* c -4)) (+ (* b b) 0)))))) (* 2 a))
(+ (neg b) (/ 1 (sqrt (/ 1 (+ (* a (* c -4)) (+ (* b b) 0))))))
(neg b)
b
(/ 1 (sqrt (/ 1 (+ (* a (* c -4)) (+ (* b b) 0)))))
1
(sqrt (/ 1 (+ (* a (* c -4)) (+ (* b b) 0))))
(/ 1 (+ (* a (* c -4)) (+ (* b b) 0)))
(+ (* a (* c -4)) (+ (* b b) 0))
a
(* c -4)
c
-4
(+ (* b b) 0)
0
(* 2 a)
2
(- 0 (/ c b))
0
(/ c b)
c
b
(/ (* c (/ (* a -2) b)) (* 2 a))
(* c (/ (* a -2) b))
c
(/ (* a -2) b)
(* a -2)
a
-2
b
(* 2 a)
2
(* (/ 1/2 a) (+ b (sqrt (+ (* a (* c -4)) (+ (* b b) 0)))))
(/ 1/2 a)
1/2
a
(+ b (sqrt (+ (* a (* c -4)) (+ (* b b) 0))))
b
(sqrt (+ (* a (* c -4)) (+ (* b b) 0)))
(+ (* a (* c -4)) (+ (* b b) 0))
(* c -4)
c
-4
(+ (* b b) 0)
0
(/ (+ (* b b) (+ (* b b) (* a (* 4 c)))) (* (+ b (sqrt (+ (* a (* c -4)) (+ (* b b) 0)))) (* a -2)))
(+ (* b b) (+ (* b b) (* a (* 4 c))))
b
(+ (* b b) (* a (* 4 c)))
(* a (* 4 c))
a
(* 4 c)
4
c
(* (+ b (sqrt (+ (* a (* c -4)) (+ (* b b) 0)))) (* a -2))
(+ b (sqrt (+ (* a (* c -4)) (+ (* b b) 0))))
(sqrt (+ (* a (* c -4)) (+ (* b b) 0)))
(+ (* a (* c -4)) (+ (* b b) 0))
(* c -4)
-4
(+ (* b b) 0)
0
(* a -2)
-2

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

localize236.0ms (2.3%)

Memory

35.3MiB live, 307.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.4%	(fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))
✓	accuracy	79.5%	(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))
✓	accuracy	71.7%	(/.f64 (fma.f64 b b (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 a #s(literal -2 binary64))))
✓	accuracy	63.6%	(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))
✓	accuracy	100.0%	(fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))
✓	accuracy	94.7%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))
✓	accuracy	79.5%	(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))
✓	accuracy	63.6%	(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))
✓	accuracy	100.0%	(*.f64 a #s(literal -2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) a)
✓	accuracy	95.9%	(.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))
✓	accuracy	82.0%	(/.f64 (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
✓	accuracy	100.0%	(/.f64 c b)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (/.f64 c b))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))
✓	accuracy	93.7%	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) (.f64 #s(literal 2 binary64) a))
✓	accuracy	84.4%	(+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))
✓	accuracy	63.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))

Samples

66.0ms	71×	2	valid
38.0ms	71×	1	valid
24.0ms	98×	0	valid
13.0ms	16×	3	valid

Compiler

Compiled 332 to 40 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-add: 31.0ms (32.1% of total)

ival-mult: 21.0ms (21.7% of total)

ival-div: 20.0ms (20.7% of total)

adjust: 9.0ms (9.3% of total)

ival-sqrt: 7.0ms (7.2% of total)

ival-neg: 5.0ms (5.2% of total)

ival-sub: 2.0ms (2.1% of total)

exact: 1.0ms (1% of total)

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

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

series81.0ms (0.8%)

Memory

14.6MiB live, 88.5MiB allocated

Counts

20 → 588

Calls

Call 1

Inputs
#<alt (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* a (* c -4)) (+ (* b b) 0))))))>
#<alt (* 2 a)>
#<alt (/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* a (* c -4)) (+ (* b b) 0)))))) (* 2 a))>
#<alt (/ 1 (sqrt (/ 1 (+ (* a (* c -4)) (+ (* b b) 0)))))>
#<alt (- 0 (/ c b))>
#<alt (/ c b)>
#<alt (/ (* c (/ (* a -2) b)) (* 2 a))>
#<alt (/ (* a -2) b)>
#<alt (* a -2)>
#<alt (/ 1/2 a)>
#<alt (+ b (sqrt (+ (* a (* c -4)) (+ (* b b) 0))))>
#<alt (sqrt (+ (* a (* c -4)) (+ (* b b) 0)))>
#<alt (+ (* a (* c -4)) (+ (* b b) 0))>
#<alt (+ (* b b) (+ (* b b) (* a (* 4 c))))>
#<alt (/ (+ (* b b) (+ (* b b) (* a (* 4 c)))) (* (+ b (sqrt (+ (* a (* c -4)) (+ (* b b) 0)))) (* a -2)))>
#<alt (+ (* b b) (* a (* 4 c)))>
#<alt (* 4 c)>
#<alt (sqrt (/ 1 (+ (* a (* c -4)) (+ (* b b) 0))))>
#<alt (* c (/ (* a -2) b))>
#<alt (* (/ 1/2 a) (+ b (sqrt (+ (* a (* c -4)) (+ (* b b) 0)))))>

Outputs
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* -2 (/ (* a c) b))>
#<alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)>
#<alt (* -2 b)>
#<alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))>
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
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#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
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#<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)))))))>
#<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))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -4 (* a c))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* 4 (* a c))>
#<alt (+ (* 2 (pow b 2)) (* 4 (* a c)))>
#<alt (+ (* 2 (pow b 2)) (* 4 (* a c)))>
#<alt (+ (* 2 (pow b 2)) (* 4 (* a c)))>
#<alt (* 2 (pow b 2))>
#<alt (* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2)))))>
#<alt (* 2 (pow b 2))>
#<alt (* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 2 (* 4 (/ (* a c) (pow b 2)))))>
#<alt (* 2 (pow b 2))>
#<alt (+ (* 2 (pow b 2)) (* 4 (* a c)))>
#<alt (+ (* 2 (pow b 2)) (* 4 (* a c)))>
#<alt (+ (* 2 (pow b 2)) (* 4 (* a c)))>
#<alt (* 4 (* a c))>
#<alt (* a (+ (* 2 (/ (pow b 2) a)) (* 4 c)))>
#<alt (* a (+ (* 2 (/ (pow b 2) a)) (* 4 c)))>
#<alt (* a (+ (* 2 (/ (pow b 2) a)) (* 4 c)))>
#<alt (* 4 (* a c))>
#<alt (* -1 (* a (+ (* -4 c) (* -2 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -4 c) (* -2 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -4 c) (* -2 (/ (pow b 2) a)))))>
#<alt (* 2 (pow b 2))>
#<alt (+ (* 2 (pow b 2)) (* 4 (* a c)))>
#<alt (+ (* 2 (pow b 2)) (* 4 (* a c)))>
#<alt (+ (* 2 (pow b 2)) (* 4 (* a c)))>
#<alt (* 4 (* a c))>
#<alt (* c (+ (* 2 (/ (pow b 2) c)) (* 4 a)))>
#<alt (* c (+ (* 2 (/ (pow b 2) c)) (* 4 a)))>
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#<alt (* 4 (* a c))>
#<alt (* -1 (* c (+ (* -4 a) (* -2 (/ (pow b 2) c)))))>
#<alt (* -1 (* c (+ (* -4 a) (* -2 (/ (pow b 2) c)))))>
#<alt (* -1 (* c (+ (* -4 a) (* -2 (/ (pow b 2) c)))))>
#<alt (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))>
#<alt (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))>
#<alt (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -1/2 (* b (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))>
#<alt (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -1/2 (* b (- (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (- (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (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)))) (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))>
#<alt (* -1/2 (/ b a))>
#<alt (* b (- (* -1/2 (/ (- (* 2 c) (* -1 c)) (pow b 2))) (* 1/2 (/ 1 a))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (* -1/2 (/ (pow b 3) (* (pow a 2) c)))>
#<alt (* -1 (* (pow b 3) (+ (* 1/2 (/ 1 (* a (pow b 2)))) (* 1/2 (/ 1 (* (pow a 2) c))))))>
#<alt (* -1 (* (pow b 3) (+ (* 1/2 (/ (+ (* -2 c) (* -1 c)) (pow b 4))) (+ (/ 1/2 (* a (pow b 2))) (* 1/2 (/ 1 (* (pow a 2) c)))))))>
#<alt (* -1 (* (pow b 3) (+ (* 1/2 (/ (+ (* -2 c) (* -1 c)) (pow b 4))) (+ (* 1/2 (/ (+ (* -2 (* a (pow c 2))) (+ (* -1 (* a (* c (+ (* -2 c) (* -1 c))))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 3) (pow c 2)))))) (pow b 6))) (+ (/ 1/2 (* a (pow b 2))) (* 1/2 (/ 1 (* (pow a 2) c))))))))>
#<alt (* -1/2 (/ b a))>
#<alt (/ (+ (* -1/2 b) (* -1/2 (* a (- (* 2 (/ c b)) (* -1 (/ c b)))))) a)>
#<alt (/ (+ (* -1/2 b) (* a (+ (* -1/2 (- (* 2 (/ c b)) (* -1 (/ c b)))) (* 1/2 (* a (+ (* -1 (/ (* c (- (* 2 (/ c b)) (* -1 (/ c b)))) (pow b 2))) (* -1 (/ (pow c 2) (pow b 3))))))))) a)>
#<alt (/ (+ (* -1/2 b) (* a (+ (* -1/2 (- (* 2 (/ c b)) (* -1 (/ c b)))) (* a (+ (* 1/2 (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (+ (* -1 (/ (* (pow c 2) (- (* 2 (/ c b)) (* -1 (/ c b)))) (pow b 4))) (/ (* c (+ (* -1 (/ (* c (- (* 2 (/ c b)) (* -1 (/ c b)))) (pow b 2))) (* -1 (/ (pow c 2) (pow b 3))))) (pow b 2)))))) (* 1/2 (+ (* -1 (/ (* c (- (* 2 (/ c b)) (* -1 (/ c b)))) (pow b 2))) (* -1 (/ (pow c 2) (pow b 3)))))))))) a)>
#<alt (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))>
#<alt (/ (+ (* -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)>
#<alt (/ (+ (* -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)) (* 1/2 (/ (+ (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (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))))) a)>
#<alt (/ (+ (* -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)) (+ (* 1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* 2 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (sqrt -4)))) (* 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))))) (pow a 3))) (* 1/2 (/ (+ (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (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)))))) a)>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1/2 (/ (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)) a))) a))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b))) (* 1/2 (/ (+ (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b))))))) a))) a))) a))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))))))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b))))))))))) (* -1/8 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))) c))) a))) a)) (* 1/2 (- (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))) (* a b)))) a))) a))>
#<alt (* -1/2 (/ b a))>
#<alt (+ (* -3/2 (/ c b)) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (/ b a)) (* c (- (* 1/2 (* c (+ (* -3 (/ a (pow b 3))) (* -1 (/ a (pow b 3)))))) (* 3/2 (/ 1 b)))))>
#<alt (+ (* -1/2 (/ b a)) (* c (- (* c (+ (* 1/2 (* c (+ (* -3 (/ (pow a 2) (pow b 5))) (+ (* -2 (/ (pow a 2) (pow b 5))) (/ (* a (+ (* -3 (/ a (pow b 3))) (* -1 (/ a (pow b 3))))) (pow b 2)))))) (* 1/2 (+ (* -3 (/ a (pow b 3))) (* -1 (/ a (pow b 3))))))) (* 3/2 (/ 1 b)))))>
#<alt (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))>
#<alt (+ (* -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)))>
#<alt (+ (* -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)) (* 1/2 (/ (+ (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (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)))))>
#<alt (+ (* -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)) (+ (* 1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (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)))) (* 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))))) (pow c 3))) (* 1/2 (/ (+ (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (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))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* 1/2 (/ (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)) c)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a))) (* -1/2 (/ (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a))))))) c))) c)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a))))))))))) (* -1/8 (/ (* (pow b 2) (* c (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))) a))) c)) (* 1/2 (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a))))))))) c)) (* -1/2 (- (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))) (/ (* b c) a)))) c)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* 4 (* a c))>
#<alt (+ (* 4 (* a c)) (pow b 2))>
#<alt (+ (* 4 (* a c)) (pow b 2))>
#<alt (+ (* 4 (* a c)) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* 4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* 4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* 4 (* a c)) (pow b 2))>
#<alt (+ (* 4 (* a c)) (pow b 2))>
#<alt (+ (* 4 (* a c)) (pow b 2))>
#<alt (* 4 (* a c))>
#<alt (* a (+ (* 4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* 4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* 4 c) (/ (pow b 2) a)))>
#<alt (* 4 (* a c))>
#<alt (* -1 (* a (+ (* -4 c) (* -1 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -4 c) (* -1 (/ (pow b 2) a)))))>
#<alt (* -1 (* a (+ (* -4 c) (* -1 (/ (pow b 2) a)))))>
#<alt (pow b 2)>
#<alt (+ (* 4 (* a c)) (pow b 2))>
#<alt (+ (* 4 (* a c)) (pow b 2))>
#<alt (+ (* 4 (* a c)) (pow b 2))>
#<alt (* 4 (* a c))>
#<alt (* c (+ (* 4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* 4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* 4 a) (/ (pow b 2) c)))>
#<alt (* 4 (* a c))>
#<alt (* -1 (* c (+ (* -4 a) (* -1 (/ (pow b 2) c)))))>
#<alt (* -1 (* c (+ (* -4 a) (* -1 (/ (pow b 2) c)))))>
#<alt (* -1 (* c (+ (* -4 a) (* -1 (/ (pow b 2) c)))))>
#<alt (* 4 c)>
#<alt (* 4 c)>
#<alt (* 4 c)>
#<alt (* 4 c)>
#<alt (* 4 c)>
#<alt (* 4 c)>
#<alt (* 4 c)>
#<alt (* 4 c)>
#<alt (* 4 c)>
#<alt (* 4 c)>
#<alt (* 4 c)>
#<alt (* 4 c)>
#<alt (/ 1 b)>
#<alt (+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))>
#<alt (+ (* a (+ (* -1/2 (* a (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (* 2 (/ c (pow b 3))))) (/ 1 b))>
#<alt (+ (* a (+ (* 2 (/ c (pow b 3))) (* a (+ (* -1/2 (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))) (/ 1 b))>
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))>
#<alt (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))>
#<alt (+ (* -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))))>
#<alt (+ (* -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)))))>
#<alt (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))>
#<alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<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)))))>
#<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)))))>
#<alt (/ 1 b)>
#<alt (+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b))>
#<alt (+ (* 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))>
#<alt (+ (* 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))>
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))>
#<alt (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))>
#<alt (+ (* -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))))>
#<alt (+ (* -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)))))>
#<alt (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))>
#<alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<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)))))>
#<alt (+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ c (pow a 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4))))))) (pow c 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* (sqrt (/ 1 (* a c))) (sqrt -1/4))>
#<alt (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))>
#<alt (+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (sqrt -1/4)))) (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))))))>
#<alt (+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/32 (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/4) 2))))) (* 1/256 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/4)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/4)))))))))>
#<alt (/ 1 b)>
#<alt (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b)>
#<alt (/ (+ 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)>
#<alt (/ (+ 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)>
#<alt (/ -1 b)>
#<alt (* -1 (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (/ b a)>
#<alt (/ (+ b (* -1 (/ (* a c) b))) a)>
#<alt (/ (+ b (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)>
#<alt (/ (+ b (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))>
#<alt (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a))))>
#<alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)))>
#<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)))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))>
#<alt (/ b a)>
#<alt (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))>
#<alt (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))>
#<alt (* 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)))))>
#<alt (/ c b)>
#<alt (* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))>
#<alt (/ b a)>
#<alt (+ (* -1 (/ c b)) (/ b a))>
#<alt (+ (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (/ b a))>
#<alt (+ (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (/ b a))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))>
#<alt (* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c))))))>
#<alt (* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* 1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>

Calls

147 calls:

Time	Variable		Point	Expression
20.0ms	a	@	-inf	(/ (* a -2) b)
7.0ms	a	@	-inf	(sqrt (/ 1 (+ (* a (* c -4)) (+ (* b b) 0))))
4.0ms	c	@	-inf	(/ (+ (* b b) (+ (* b b) (* a (* 4 c)))) (* (+ b (sqrt (+ (* a (* c -4)) (+ (* b b) 0)))) (* a -2)))
2.0ms	c	@	inf	(/ (+ (* b b) (+ (* b b) (* a (* 4 c)))) (* (+ b (sqrt (+ (* a (* c -4)) (+ (* b b) 0)))) (* a -2)))
2.0ms	c	@	0	(/ (* c (/ (* a -2) b)) (* 2 a))

rewrite435.0ms (4.2%)

Memory

-21.5MiB live, 695.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 906×	`-lowering-.f32`
4 906×	`-lowering-.f64`
4 386×	`accelerator-lowering-fma.f32`
4 386×	`accelerator-lowering-fma.f64`
4 106×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	209
1	230	186
2	2275	186
0	8497	174

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 1 039

Calls

Call 1

Inputs
(+ (neg b) (/ 1 (sqrt (/ 1 (+ (* a (* c -4)) (+ (* b b) 0))))))
(* 2 a)
(/ (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* a (* c -4)) (+ (* b b) 0)))))) (* 2 a))
(/ 1 (sqrt (/ 1 (+ (* a (* c -4)) (+ (* b b) 0)))))
(- 0 (/ c b))
(/ c b)
(/ (* c (/ (* a -2) b)) (* 2 a))
(/ (* a -2) b)
(* a -2)
(/ 1/2 a)
(+ b (sqrt (+ (* a (* c -4)) (+ (* b b) 0))))
(sqrt (+ (* a (* c -4)) (+ (* b b) 0)))
(+ (* a (* c -4)) (+ (* b b) 0))
(+ (* b b) (+ (* b b) (* a (* 4 c))))
(/ (+ (* b b) (+ (* b b) (* a (* 4 c)))) (* (+ b (sqrt (+ (* a (* c -4)) (+ (* b b) 0)))) (* a -2)))
(+ (* b b) (* a (* 4 c)))
(* 4 c)
(sqrt (/ 1 (+ (* a (* c -4)) (+ (* b b) 0))))
(* c (/ (* a -2) b))
(* (/ 1/2 a) (+ b (sqrt (+ (* a (* c -4)) (+ (* b b) 0)))))

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

simplify571.0ms (5.5%)

Memory

13.1MiB live, 729.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 706×	`-lowering-.f32`
7 706×	`-lowering-.f64`
7 220×	`accelerator-lowering-fma.f32`
7 220×	`accelerator-lowering-fma.f64`
5 148×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1206	11059
1	3961	10799
0	8177	10344

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 588

Calls

Call 1

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

Outputs
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (-.f64 #s(literal 0 binary64) b))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 b (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1 binary64)) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (/.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1 binary64)) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/.f64 (.f64 #s(literal -2 binary64) (fma.f64 a c (/.f64 (.f64 (.f64 a c) (.f64 a c)) (*.f64 b b)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (.f64 #s(literal -2 binary64) (fma.f64 a c (/.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 b b))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -2 binary64) (fma.f64 a c (/.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 b b))) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64))) (pow.f64 b #s(literal 6 binary64))))) b)
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 a c) (*.f64 b b)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (.f64 b b)) (/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(-.f64 #s(literal 0 binary64) (.f64 b (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 6 binary64))) (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (.f64 b b)) (/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b #s(literal 4 binary64)))))))))
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(.f64 a (.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(.f64 a (fma.f64 a (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c c)) (.f64 b (.f64 b b)))) (*.f64 #s(literal -2 binary64) (/.f64 c b))))
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b
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(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
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b
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b
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(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
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b
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(pow b 2)
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(+ (* -4 (* a c)) (pow b 2))
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(* -4 (* a c))
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(pow b 2)
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(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (.f64 a c) (.f64 a c)) #s(literal -12 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 a c)) (*.f64 b b)))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b))
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 (.f64 a c) (.f64 (.f64 (.f64 a c) (.f64 a c)) #s(literal -12 binary64))) (.f64 (.f64 #s(literal -64 binary64) (.f64 a (.f64 a a))) (.f64 c (.f64 c c)))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (.f64 a c) (.f64 a c)) #s(literal -12 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 a c)) (*.f64 b b))))) (-.f64 #s(literal 0 binary64) b))
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal -2 binary64)) b)
(/ b a)
(/.f64 b a)
(/ (+ b (* -1 (/ (* a c) b))) a)
(/.f64 (fma.f64 a (-.f64 #s(literal 0 binary64) (/.f64 c b)) b) a)
(/ (+ b (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/.f64 (fma.f64 a (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b (*.f64 b b))) (/.f64 c b))) b) a)
(/ (+ b (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)
(/.f64 (fma.f64 a (fma.f64 a (-.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 a (.f64 c (.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 c c) (.f64 b (*.f64 b b)))) (-.f64 #s(literal 0 binary64) (/.f64 c b))) b) a)
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 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))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/4 binary64) (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))))
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1/16 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1/2 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (*.f64 b #s(literal -1/2 binary64))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* -1/2 b)) a)))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (.f64 b #s(literal -1/2 binary64)) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/128 binary64) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 a c))) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) a)) a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (/.f64 #s(literal 1/2 binary64) a)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c 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)))))
(fma.f64 b (fma.f64 b (fma.f64 (.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (/.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))
(/ b a)
(/.f64 b a)
(* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))
(.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))))
(* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))
(.f64 b (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 a (.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 c (.f64 b b))))
(* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(.f64 b (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a a)) (pow.f64 b #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 a (.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 c (.f64 b b)))))
(/ c b)
(/.f64 c b)
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))
(/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64))) (.f64 a (pow.f64 b #s(literal 6 binary64)))))) b))
(/ b a)
(/.f64 b a)
(+ (* -1 (/ c b)) (/ b a))
(-.f64 (/.f64 b a) (/.f64 c b))
(+ (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (/ b a))
(fma.f64 c (fma.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 c (.f64 b (.f64 b b))) (/.f64 #s(literal -1 binary64) b)) (/.f64 b a))
(+ (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (/ b a))
(fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 c (.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) a) (.f64 b (.f64 b b)))) (/.f64 #s(literal -1 binary64) b)) (/.f64 b a))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))
(.f64 c (.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 b (.f64 a c)))))
(* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c))))))
(.f64 c (fma.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 b (.f64 a c))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))))))
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c)))))))
(.f64 c (fma.f64 #s(literal -1/16 binary64) (.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 b (.f64 a c))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 (-.f64 #s(literal 0 binary64) c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (.f64 b #s(literal -1/2 binary64)) (.f64 a c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(-.f64 #s(literal 0 binary64) (.f64 c (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 b a))) c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* 1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(-.f64 #s(literal 0 binary64) (.f64 c (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 b a)) (/.f64 (fma.f64 #s(literal -1/128 binary64) (.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (pow.f64 a #s(literal 5 binary64)))))) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c (.f64 a (*.f64 a a))))))) c)) c))))

eval586.0ms (5.7%)

Memory: -7.9MiB live, 508.3MiB allocated
Compiler: Compiled 77 859 to 5 751 computations (92.6% saved)

prune282.0ms (2.7%)

Memory

3.8MiB live, 603.2MiB allocated

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	2 129	18	2 147
Fresh	4	7	11
Picked	5	0	5
Done	0	0	0
Total	2 138	25	2 163

Accuracy

91.3%

Counts

2 163 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.8%	(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a)))
	29.0%	(/.f64 (/.f64 (fma.f64 b (+.f64 b b) (.f64 a (.f64 c #s(literal 4 binary64)))) (+.f64 b (sqrt.f64 (fma.f64 b b (fma.f64 a (.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))))) (.f64 a #s(literal -2 binary64)))
	10.6%	(/.f64 (+.f64 (neg.f64 b) (fma.f64 a (.f64 #s(literal -2 binary64) (/.f64 c b)) b)) (.f64 #s(literal 2 binary64) a))
	37.1%	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))) (*.f64 #s(literal 2 binary64) a))
	32.4%	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a c) #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
	35.0%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
▶	52.6%	(/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a (.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) b) #s(literal 1/2 binary64)) a)
	20.8%	(/.f64 (.f64 (.f64 a c) (/.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 2 binary64) a))
	41.4%	(/.f64 (.f64 (.f64 a c) #s(literal 4 binary64)) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 a #s(literal -2 binary64))))
	9.7%	(/.f64 c b)
	37.2%	(/.f64 b (-.f64 #s(literal 0 binary64) a))
▶	2.7%	(/.f64 b a)
	35.9%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))
▶	35.9%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) a))
	15.7%	(-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64))))
	24.1%	(.f64 (pow.f64 (/.f64 a c) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 (.f64 a #s(literal -2 binary64)) b)) #s(literal -1 binary64)))
	24.5%	(.f64 (/.f64 (.f64 a #s(literal -2 binary64)) b) (*.f64 c (/.f64 #s(literal 1/2 binary64) a)))
	9.7%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 a c)) b))
▶	29.8%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (.f64 (*.f64 a c) #s(literal -4 binary64)))))
▶	8.6%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (.f64 b b))))
	2.7%	(*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b b))
	22.0%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)))
	26.3%	(.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (.f64 a c) (.f64 b (.f64 b b)))))
	29.1%	(*.f64 c (neg.f64 (/.f64 #s(literal 1 binary64) b)))
	29.2%	(neg.f64 (/.f64 c b))

Compiler

Compiled 752 to 528 computations (29.8% saved)

simplify270.0ms (2.6%)

Memory

8.2MiB live, 201.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) a)
✓	cost-diff	320	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) a))
✓	cost-diff	-64	(.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (.f64 (*.f64 a c) #s(literal -4 binary64)))))
✓	cost-diff	0	(sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64)))
✓	cost-diff	0	(+.f64 b (sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) a)
✓	cost-diff	-64	(.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (.f64 b b))))
✓	cost-diff	0	(+.f64 b (sqrt.f64 (*.f64 b b)))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) a)
✓	cost-diff	896	(sqrt.f64 (*.f64 b b))
✓	cost-diff	0	(/.f64 b a)
✓	cost-diff	0	(fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))
✓	cost-diff	0	(sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))))
✓	cost-diff	0	(-.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) b)
✓	cost-diff	0	(/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a (.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) b) #s(literal 1/2 binary64)) a)

Rules

2 720×	`accelerator-lowering-fma.f32`
2 720×	`accelerator-lowering-fma.f64`
1 480×	`-lowering-.f32`
1 480×	`-lowering-.f64`
692×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	237
1	77	233
2	140	233
3	271	233
4	339	233
5	458	233
6	610	233
7	856	233
8	1284	233
9	2025	233
10	2813	233
11	3691	233
12	3973	233
13	3996	233
14	4001	233
15	4007	233
16	4039	233
17	4237	233
18	4378	233
19	4378	233
20	4378	233
21	4384	233
0	4384	222

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (* (- (sqrt (+ (* b b) (+ (* a (* c -4)) 0))) b) 1/2) a)
(* (- (sqrt (+ (* b b) (+ (* a (* c -4)) 0))) b) 1/2)
(- (sqrt (+ (* b b) (+ (* a (* c -4)) 0))) b)
(sqrt (+ (* b b) (+ (* a (* c -4)) 0)))
(+ (* b b) (+ (* a (* c -4)) 0))
b
(+ (* a (* c -4)) 0)
a
(* c -4)
c
-4
0
1/2
(/ b a)
b
a
(* (/ 1/2 a) (+ b (sqrt (* b b))))
(/ 1/2 a)
1/2
a
(+ b (sqrt (* b b)))
b
(sqrt (* b b))
(* b b)
(* (/ 1/2 a) (+ b (sqrt (* (* a c) -4))))
(/ 1/2 a)
1/2
a
(+ b (sqrt (* (* a c) -4)))
b
(sqrt (* (* a c) -4))
(* (* a c) -4)
(* a c)
c
-4
(/ 1/2 (* (/ 1 (+ b (sqrt (+ (* a (* c -4)) (+ (* b b) 0))))) a))
1/2
(* (/ 1 (+ b (sqrt (+ (* a (* c -4)) (+ (* b b) 0))))) a)
(/ 1 (+ b (sqrt (+ (* a (* c -4)) (+ (* b b) 0)))))
1
(+ b (sqrt (+ (* a (* c -4)) (+ (* b b) 0))))
b
(sqrt (+ (* a (* c -4)) (+ (* b b) 0)))
(+ (* a (* c -4)) (+ (* b b) 0))
a
(* c -4)
c
-4
(+ (* b b) 0)
0

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

localize172.0ms (1.7%)

Memory

-18.3MiB live, 153.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) a))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))
✓	accuracy	99.8%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) a)
✓	accuracy	86.1%	(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))
✓	accuracy	100.0%	(*.f64 a c)
✓	accuracy	100.0%	(.f64 (.f64 a c) #s(literal -4 binary64))
✓	accuracy	99.8%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (.f64 (*.f64 a c) #s(literal -4 binary64)))))
✓	accuracy	87.0%	(sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64)))
✓	accuracy	100.0%	(+.f64 b (sqrt.f64 (*.f64 b b)))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	99.8%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (.f64 b b))))
✓	accuracy	77.6%	(sqrt.f64 (*.f64 b b))
✓	accuracy	100.0%	(/.f64 b a)
✓	accuracy	100.0%	(*.f64 c #s(literal -4 binary64))
✓	accuracy	96.4%	(/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a (.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) b) #s(literal 1/2 binary64)) a)
✓	accuracy	90.9%	(-.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) b)
✓	accuracy	86.1%	(sqrt.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))))

Samples

32.0ms	89×	0	invalid
21.0ms	97×	0	valid
17.0ms	20×	2	valid
8.0ms	32×	1	exit
7.0ms	15×	1	valid
2.0ms	3×	3	valid

Compiler

Compiled 247 to 35 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-div: 21.0ms (33.1% of total)

ival-mult: 15.0ms (23.7% of total)

ival-add: 9.0ms (14.2% of total)

ival-sqrt: 8.0ms (12.6% of total)

ival-sub: 5.0ms (7.9% of total)

adjust: 3.0ms (4.7% of total)

exact: 0.0ms (0% of total)

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

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

series56.0ms (0.5%)

Memory

-2.9MiB live, 38.0MiB allocated

Counts

21 → 576

Calls

Call 1

Inputs
#<alt (/ (* (- (sqrt (+ (* b b) (+ (* a (* c -4)) 0))) b) 1/2) a)>
#<alt (- (sqrt (+ (* b b) (+ (* a (* c -4)) 0))) b)>
#<alt (sqrt (+ (* b b) (+ (* a (* c -4)) 0)))>
#<alt (+ (* b b) (+ (* a (* c -4)) 0))>
#<alt (/ b a)>
#<alt (sqrt (* b b))>
#<alt (/ 1/2 a)>
#<alt (+ b (sqrt (* b b)))>
#<alt (* (/ 1/2 a) (+ b (sqrt (* b b))))>
#<alt (+ b (sqrt (* (* a c) -4)))>
#<alt (sqrt (* (* a c) -4))>
#<alt (* (/ 1/2 a) (+ b (sqrt (* (* a c) -4))))>
#<alt (/ 1/2 (* (/ 1 (+ b (sqrt (+ (* a (* c -4)) (+ (* b b) 0))))) a))>
#<alt (* (/ 1 (+ b (sqrt (+ (* a (* c -4)) (+ (* b b) 0))))) a)>
#<alt (/ 1 (+ b (sqrt (+ (* a (* c -4)) (+ (* b b) 0)))))>
#<alt (+ b (sqrt (+ (* a (* c -4)) (+ (* b b) 0))))>
#<alt (* c -4)>
#<alt (* b b)>
#<alt (* (* a c) -4)>
#<alt (* a c)>
#<alt (sqrt (+ (* a (* c -4)) (+ (* b b) 0)))>

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

Calls

144 calls:

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

rewrite229.0ms (2.2%)

Memory

1.7MiB live, 78.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 342×	`accelerator-lowering-fma.f32`
1 342×	`accelerator-lowering-fma.f64`
888×	`-lowering-.f32`
888×	`-lowering-.f64`
832×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	177
1	215	170
0	1960	153

Stop Event

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

Counts

21 → 431

Calls

Call 1

Inputs
(/ (* (- (sqrt (+ (* b b) (+ (* a (* c -4)) 0))) b) 1/2) a)
(- (sqrt (+ (* b b) (+ (* a (* c -4)) 0))) b)
(sqrt (+ (* b b) (+ (* a (* c -4)) 0)))
(+ (* b b) (+ (* a (* c -4)) 0))
(/ b a)
(sqrt (* b b))
(/ 1/2 a)
(+ b (sqrt (* b b)))
(* (/ 1/2 a) (+ b (sqrt (* b b))))
(+ b (sqrt (* (* a c) -4)))
(sqrt (* (* a c) -4))
(* (/ 1/2 a) (+ b (sqrt (* (* a c) -4))))
(/ 1/2 (* (/ 1 (+ b (sqrt (+ (* a (* c -4)) (+ (* b b) 0))))) a))
(* (/ 1 (+ b (sqrt (+ (* a (* c -4)) (+ (* b b) 0))))) a)
(/ 1 (+ b (sqrt (+ (* a (* c -4)) (+ (* b b) 0)))))
(+ b (sqrt (+ (* a (* c -4)) (+ (* b b) 0))))
(* c -4)
(* b b)
(* (* a c) -4)
(* a c)
(sqrt (+ (* a (* c -4)) (+ (* b b) 0)))

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

simplify614.0ms (5.9%)

Memory

28.5MiB live, 539.4MiB allocated

Algorithm

1×	egg-herbie

Rules

7 090×	`-lowering-.f32`
7 090×	`-lowering-.f64`
6 672×	`accelerator-lowering-fma.f32`
6 672×	`accelerator-lowering-fma.f64`
4 648×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1147	10018
1	3811	9681
0	8080	9278

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 576

Calls

Call 1

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

Outputs
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 b a)))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (/.f64 #s(literal -1/2 binary64) a)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 c (.f64 c c))))) (/.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(* -1 (/ c b))
(/.f64 c (-.f64 #s(literal 0 binary64) b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a a)) (pow.f64 b #s(literal 4 binary64))) (+.f64 (neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64))) (.f64 a (pow.f64 b #s(literal 6 binary64)))))) b)
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 a (.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 c (.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(-.f64 #s(literal 0 binary64) (.f64 b (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a a)) (pow.f64 b #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 a (.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 c (.f64 b b))))))
(* -1 (/ c b))
(/.f64 c (-.f64 #s(literal 0 binary64) b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b (*.f64 b b))) (/.f64 c b)))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(fma.f64 a (-.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 a (.f64 c (.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 c c) (.f64 b (*.f64 b b)))) (/.f64 c (-.f64 #s(literal 0 binary64) b)))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(fma.f64 a (-.f64 (.f64 a (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64))) b) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (.f64 c c) (.f64 b (*.f64 b b)))) (/.f64 c (-.f64 #s(literal 0 binary64) b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 b a)))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (fma.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (.f64 c (.f64 c c))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) (fma.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 b a)) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
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eval131.0ms (1.3%)

Memory: 24.8MiB live, 249.6MiB allocated
Compiler: Compiled 23 697 to 2 901 computations (87.8% saved)

prune130.0ms (1.3%)

Memory

-39.7MiB live, 295.5MiB allocated

Pruning

31 alts after pruning (27 fresh and 4 done)

	Pruned	Kept	Total
New	1 031	14	1 045
Fresh	7	13	20
Picked	1	4	5
Done	0	0	0
Total	1 039	31	1 070

Accuracy

94.9%

Counts

1 070 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.8%	(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a)))
	2.4%	(/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a)
	1.3%	(/.f64 (+.f64 (pow.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64)))) (.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64)))))))
	10.6%	(/.f64 (+.f64 (neg.f64 b) (fma.f64 a (.f64 #s(literal -2 binary64) (/.f64 c b)) b)) (.f64 #s(literal 2 binary64) a))
	37.1%	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))) (*.f64 #s(literal 2 binary64) a))
	23.1%	(/.f64 (.f64 (fma.f64 b b (.f64 #s(literal 4 binary64) (.f64 a c))) #s(literal 1/2 binary64)) (.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) a))
	35.4%	(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 c #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) a)
	20.8%	(/.f64 (.f64 (.f64 a c) (/.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 2 binary64) a))
	9.7%	(/.f64 c b)
▶	37.2%	(/.f64 b (-.f64 #s(literal 0 binary64) a))
✓	2.7%	(/.f64 b a)
	29.7%	(/.f64 #s(literal 1 binary64) (/.f64 a (.f64 #s(literal 1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))))))
	2.7%	(/.f64 #s(literal 1 binary64) (/.f64 a b))
	9.7%	(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) b) c))
✓	35.9%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) a))
▶	2.7%	(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a))
	15.7%	(-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64))))
	24.1%	(.f64 (pow.f64 (/.f64 a c) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 (.f64 a #s(literal -2 binary64)) b)) #s(literal -1 binary64)))
	24.5%	(.f64 (/.f64 (.f64 a #s(literal -2 binary64)) b) (*.f64 c (/.f64 #s(literal 1/2 binary64) a)))
	2.7%	(*.f64 (/.f64 #s(literal 1 binary64) a) b)
	20.1%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (fma.f64 (sqrt.f64 (.f64 c #s(literal -4 binary64))) (sqrt.f64 a) b))
▶	9.7%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 a c)) b))
	2.5%	(*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (/.f64 (fma.f64 b b #s(literal 0 binary64)) b)))
	29.2%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (/.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))))))
✓	29.8%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (.f64 (*.f64 a c) #s(literal -4 binary64)))))
✓	8.6%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (.f64 b b))))
	22.0%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)))
▶	27.6%	(.f64 c (fma.f64 (neg.f64 a) (/.f64 c (.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)))
	29.1%	(*.f64 c (neg.f64 (/.f64 #s(literal 1 binary64) b)))
	29.2%	(neg.f64 (/.f64 c b))
▶	10.2%	#s(literal 0 binary64)

Compiler

Compiled 851 to 549 computations (35.5% saved)

simplify587.0ms (5.7%)

Memory

3.1MiB live, 885.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 b (.f64 b b))
✓	cost-diff	0	(/.f64 c (.f64 b (.f64 b b)))
✓	cost-diff	128	(fma.f64 (neg.f64 a) (/.f64 c (.f64 b (.f64 b b))) (/.f64 #s(literal -1 binary64) b))
✓	cost-diff	128	(.f64 c (fma.f64 (neg.f64 a) (/.f64 c (.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)))
✓	cost-diff	0	(.f64 #s(literal 2 binary64) (.f64 a c))
✓	cost-diff	0	(/.f64 (.f64 #s(literal 2 binary64) (.f64 a c)) b)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) a)
✓	cost-diff	1728	(.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 a c)) b))
✓	cost-diff	-64	(*.f64 (/.f64 #s(literal 1/2 binary64) b) a)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) b)
✓	cost-diff	1088	(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) a)
✓	cost-diff	0	(/.f64 b (-.f64 #s(literal 0 binary64) a))

Rules

27 740×	`accelerator-lowering-fma.f32`
27 740×	`accelerator-lowering-fma.f64`
6 312×	`-lowering-.f32`
6 312×	`-lowering-.f64`
2 560×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	108
1	62	102
2	171	98
3	567	94
4	2231	94
5	4588	94
0	8127	94

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ b (- 0 a))
b
(- 0 a)
0
a
0
(/ 1/2 (* (/ 1/2 b) a))
1/2
(* (/ 1/2 b) a)
(/ 1/2 b)
b
a
(* (/ 1/2 a) (/ (* 2 (* a c)) b))
(/ 1/2 a)
1/2
a
(/ (* 2 (* a c)) b)
(* 2 (* a c))
2
(* a c)
c
b
(* c (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)))
c
(+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b))
(neg a)
a
(/ c (* b (* b b)))
(* b (* b b))
b
(* b b)
(/ -1 b)
-1

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

localize70.0ms (0.7%)

Memory

23.3MiB live, 62.9MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 b (.f64 b b))
✓	accuracy	96.9%	(.f64 c (fma.f64 (neg.f64 a) (/.f64 c (.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)))
✓	accuracy	96.7%	(fma.f64 (neg.f64 a) (/.f64 c (.f64 b (.f64 b b))) (/.f64 #s(literal -1 binary64) b))
✓	accuracy	93.7%	(/.f64 c (.f64 b (.f64 b b)))
✓	accuracy	100.0%	(*.f64 a c)
✓	accuracy	100.0%	(.f64 #s(literal 2 binary64) (.f64 a c))
✓	accuracy	92.3%	(/.f64 (.f64 #s(literal 2 binary64) (.f64 a c)) b)
✓	accuracy	82.3%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 a c)) b))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) b)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1/2 binary64) b) a)
✓	accuracy	99.5%	(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a))
✓	accuracy	100.0%	(/.f64 b (-.f64 #s(literal 0 binary64) a))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) a)

Samples

44.0ms

256×

valid

Compiler

Compiled 118 to 27 computations (77.1% saved)

Precisions

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

ival-mult: 14.0ms (47.4% of total)

ival-div: 12.0ms (40.6% of total)

ival-sub: 1.0ms (3.4% of total)

ival-add: 1.0ms (3.4% of total)

ival-neg: 1.0ms (3.4% of total)

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

exact: 0.0ms (0% of total)

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

series58.0ms (0.6%)

Memory

-22.0MiB live, 16.1MiB allocated

Counts

14 → 336

Calls

Call 1

Inputs
#<alt (/ b (- 0 a))>
#<alt (- 0 a)>
#<alt (/ 1/2 (* (/ 1/2 b) a))>
#<alt (/ 1/2 b)>
#<alt (* (/ 1/2 b) a)>
#<alt (* (/ 1/2 a) (/ (* 2 (* a c)) b))>
#<alt (/ 1/2 a)>
#<alt (/ (* 2 (* a c)) b)>
#<alt (* 2 (* a c))>
#<alt (* c (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)))>
#<alt (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b))>
#<alt (/ c (* b (* b b)))>
#<alt (* b (* b b))>
#<alt (* a c)>

Outputs
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ b a)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (/ 1/2 b)>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (* 1/2 (/ a b))>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ c b)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (/ 1/2 a)>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* 2 (* a c))>
#<alt (* -1 (/ c b))>
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))>
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))>
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))>
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))>
#<alt (* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))>
#<alt (* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))>
#<alt (* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))>
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))>
#<alt (* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))>
#<alt (* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))>
#<alt (* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))>
#<alt (* -1 (/ c b))>
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))>
#<alt (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))>
#<alt (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))>
#<alt (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))>
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))>
#<alt (* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))>
#<alt (* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))>
#<alt (* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))>
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))>
#<alt (/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))>
#<alt (/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))>
#<alt (/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))>
#<alt (* -1 (/ c b))>
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (/ -1 b)>
#<alt (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))>
#<alt (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))>
#<alt (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))>
#<alt (* -1 (/ (* a c) (pow b 3)))>
#<alt (* a (- (* -1 (/ c (pow b 3))) (/ 1 (* a b))))>
#<alt (* a (- (* -1 (/ c (pow b 3))) (/ 1 (* a b))))>
#<alt (* a (- (* -1 (/ c (pow b 3))) (/ 1 (* a b))))>
#<alt (* -1 (/ (* a c) (pow b 3)))>
#<alt (* -1 (* a (+ (/ 1 (* a b)) (/ c (pow b 3)))))>
#<alt (* -1 (* a (+ (/ 1 (* a b)) (/ c (pow b 3)))))>
#<alt (* -1 (* a (+ (/ 1 (* a b)) (/ c (pow b 3)))))>
#<alt (/ -1 b)>
#<alt (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))>
#<alt (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))>
#<alt (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))>
#<alt (* -1 (/ (* a c) (pow b 3)))>
#<alt (* c (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))>
#<alt (* c (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))>
#<alt (* c (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))>
#<alt (* -1 (/ (* a c) (pow b 3)))>
#<alt (* -1 (* c (+ (/ 1 (* b c)) (/ a (pow b 3)))))>
#<alt (* -1 (* c (+ (/ 1 (* b c)) (/ a (pow b 3)))))>
#<alt (* -1 (* c (+ (/ 1 (* b c)) (/ a (pow b 3)))))>
#<alt (* -1 (/ (* a c) (pow b 3)))>
#<alt (/ (+ (* -1 (* a c)) (* -1 (pow b 2))) (pow b 3))>
#<alt (/ (+ (* -1 (* a c)) (* -1 (pow b 2))) (pow b 3))>
#<alt (/ (+ (* -1 (* a c)) (* -1 (pow b 2))) (pow b 3))>
#<alt (/ -1 b)>
#<alt (/ (- (* -1 (/ (* a c) (pow b 2))) 1) b)>
#<alt (/ (- (* -1 (/ (* a c) (pow b 2))) 1) b)>
#<alt (/ (- (* -1 (/ (* a c) (pow b 2))) 1) b)>
#<alt (/ -1 b)>
#<alt (* -1 (/ (+ 1 (/ (* a c) (pow b 2))) b))>
#<alt (* -1 (/ (+ 1 (/ (* a c) (pow b 2))) b))>
#<alt (* -1 (/ (+ 1 (/ (* a c) (pow b 2))) b))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (/ c (pow b 3))>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>

Calls

84 calls:

Time	Variable		Point	Expression
42.0ms	c	@	inf	(* c (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)))
1.0ms	c	@	0	(* c (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)))
1.0ms	a	@	0	(* c (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)))
1.0ms	b	@	0	(* c (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)))
1.0ms	a	@	inf	(* c (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)))

rewrite434.0ms (4.2%)

Memory

17.5MiB live, 247.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 260×	`/-lowering-/.f32`
4 260×	`/-lowering-/.f64`
3 246×	`-lowering-.f32`
3 246×	`-lowering-.f64`
2 510×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	84
1	135	78
2	1129	72
0	9210	72

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 742

Calls

Call 1

Inputs
(/ b (- 0 a))
(- 0 a)
(/ 1/2 (* (/ 1/2 b) a))
(/ 1/2 b)
(* (/ 1/2 b) a)
(* (/ 1/2 a) (/ (* 2 (* a c)) b))
(/ 1/2 a)
(/ (* 2 (* a c)) b)
(* 2 (* a c))
(* c (+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b)))
(+ (* (neg a) (/ c (* b (* b b)))) (/ -1 b))
(/ c (* b (* b b)))
(* b (* b b))
(* a c)

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

simplify232.0ms (2.2%)

Memory

12.2MiB live, 331.3MiB allocated

Algorithm

1×	egg-herbie

Rules

5 678×	`accelerator-lowering-fma.f32`
5 678×	`accelerator-lowering-fma.f64`
3 492×	`-lowering-.f32`
3 492×	`-lowering-.f64`
1 962×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	86	1912
1	239	1912
2	686	1858
3	1784	1858
4	4254	1858
5	7757	1858
0	8071	1858

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

Inputs
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(/ 1/2 b)
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(* 1/2 (/ a b))
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ c b)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(/ 1/2 a)
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (/ (* a c) b))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* 2 (* a c))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(/ -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 (/ (* a c) (pow b 3)))
(* a (- (* -1 (/ c (pow b 3))) (/ 1 (* a b))))
(* a (- (* -1 (/ c (pow b 3))) (/ 1 (* a b))))
(* a (- (* -1 (/ c (pow b 3))) (/ 1 (* a b))))
(* -1 (/ (* a c) (pow b 3)))
(* -1 (* a (+ (/ 1 (* a b)) (/ c (pow b 3)))))
(* -1 (* a (+ (/ 1 (* a b)) (/ c (pow b 3)))))
(* -1 (* a (+ (/ 1 (* a b)) (/ c (pow b 3)))))
(/ -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 (/ (* a c) (pow b 3)))
(* c (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(* c (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(* c (- (* -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 (/ (* a c) (pow b 3)))
(/ (+ (* -1 (* a c)) (* -1 (pow b 2))) (pow b 3))
(/ (+ (* -1 (* a c)) (* -1 (pow b 2))) (pow b 3))
(/ (+ (* -1 (* a c)) (* -1 (pow b 2))) (pow b 3))
(/ -1 b)
(/ (- (* -1 (/ (* a c) (pow b 2))) 1) b)
(/ (- (* -1 (/ (* a c) (pow b 2))) 1) b)
(/ (- (* -1 (/ (* a c) (pow b 2))) 1) b)
(/ -1 b)
(* -1 (/ (+ 1 (/ (* a c) (pow b 2))) b))
(* -1 (/ (+ 1 (/ (* a c) (pow b 2))) b))
(* -1 (/ (+ 1 (/ (* a c) (pow b 2))) b))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(/ c (pow b 3))
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)

Outputs
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 a)
(-.f64 #s(literal 0 binary64) a)
(* -1 a)
(-.f64 #s(literal 0 binary64) a)
(* -1 a)
(-.f64 #s(literal 0 binary64) a)
(* -1 a)
(-.f64 #s(literal 0 binary64) a)
(* -1 a)
(-.f64 #s(literal 0 binary64) a)
(* -1 a)
(-.f64 #s(literal 0 binary64) a)
(* -1 a)
(-.f64 #s(literal 0 binary64) a)
(* -1 a)
(-.f64 #s(literal 0 binary64) a)
(* -1 a)
(-.f64 #s(literal 0 binary64) a)
(* -1 a)
(-.f64 #s(literal 0 binary64) a)
(* -1 a)
(-.f64 #s(literal 0 binary64) a)
(* -1 a)
(-.f64 #s(literal 0 binary64) a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(/ 1/2 b)
(/.f64 #s(literal 1/2 binary64) b)
(* 1/2 (/ a b))
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
(* 1/2 (/ a b))
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
(* 1/2 (/ a b))
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
(* 1/2 (/ a b))
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
(* 1/2 (/ a b))
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
(* 1/2 (/ a b))
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
(* 1/2 (/ a b))
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
(* 1/2 (/ a b))
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
(* 1/2 (/ a b))
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
(* 1/2 (/ a b))
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
(* 1/2 (/ a b))
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
(* 1/2 (/ a b))
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
(* 1/2 (/ a b))
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
(* 1/2 (/ a b))
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
(* 1/2 (/ a b))
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
(* 1/2 (/ a b))
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
(* 1/2 (/ a b))
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
(* 1/2 (/ a b))
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
(* 1/2 (/ a b))
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
(* 1/2 (/ a b))
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
(* 1/2 (/ a b))
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
(* 1/2 (/ a b))
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
(* 1/2 (/ a b))
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
(* 1/2 (/ a b))
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ c b)
(/.f64 c b)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(* 2 (/ (* a c) b))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) b))
(* 2 (/ (* a c) b))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) b))
(* 2 (/ (* a c) b))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) b))
(* 2 (/ (* a c) b))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) b))
(* 2 (/ (* a c) b))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) b))
(* 2 (/ (* a c) b))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) b))
(* 2 (/ (* a c) b))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) b))
(* 2 (/ (* a c) b))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) b))
(* 2 (/ (* a c) b))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) b))
(* 2 (/ (* a c) b))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) b))
(* 2 (/ (* a c) b))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) b))
(* 2 (/ (* a c) b))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) b))
(* 2 (/ (* a c) b))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) b))
(* 2 (/ (* a c) b))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) b))
(* 2 (/ (* a c) b))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) b))
(* 2 (/ (* a c) b))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) b))
(* 2 (/ (* a c) b))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) b))
(* 2 (/ (* a c) b))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) b))
(* 2 (/ (* a c) b))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) b))
(* 2 (/ (* a c) b))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) b))
(* 2 (/ (* a c) b))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) b))
(* 2 (/ (* a c) b))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) b))
(* 2 (/ (* a c) b))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) b))
(* 2 (/ (* a c) b))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) b))
(* 2 (/ (* a c) b))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) b))
(* 2 (/ (* a c) b))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) b))
(* 2 (/ (* a c) b))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) b))
(* 2 (/ (* a c) b))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) b))
(* 2 (/ (* a c) b))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) b))
(* 2 (/ (* a c) b))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) b))
(* 2 (/ (* a c) b))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) b))
(* 2 (/ (* a c) b))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) b))
(* 2 (/ (* a c) b))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) b))
(* 2 (/ (* a c) b))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) b))
(* 2 (/ (* a c) b))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) b))
(* 2 (/ (* a c) b))
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 a c #s(literal 0 binary64)) b))
(* 2 (* a c))
(.f64 a (.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(.f64 a (.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(.f64 a (.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(.f64 a (.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(.f64 a (.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(.f64 a (.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(.f64 a (.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(.f64 a (.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(.f64 a (.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(.f64 a (.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(.f64 a (.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(.f64 a (.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(.f64 a (.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(.f64 a (.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(.f64 a (.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(.f64 a (.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(.f64 a (.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(.f64 a (.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(.f64 a (.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(.f64 a (.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(.f64 a (.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(.f64 a (.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(.f64 a (.f64 c #s(literal 2 binary64)))
(* 2 (* a c))
(.f64 a (.f64 c #s(literal 2 binary64)))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 a c #s(literal 0 binary64)) (/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 a c #s(literal 0 binary64)) (/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)))
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 a c #s(literal 0 binary64)) (/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)))
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))
(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)))
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))
(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)))
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))
(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 a c #s(literal 0 binary64)) (/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)))
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)))
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)))
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))
(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 a c #s(literal 0 binary64)) (/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)))
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))
(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)))
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))
(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)))
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))
(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) #s(literal 0 binary64)))
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
(- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))
(- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))
(- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))
(* -1 (/ (* a c) (pow b 3)))
(-.f64 #s(literal 0 binary64) (fma.f64 a (/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)))
(* a (- (* -1 (/ c (pow b 3))) (/ 1 (* a b))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))
(* a (- (* -1 (/ c (pow b 3))) (/ 1 (* a b))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))
(* a (- (* -1 (/ c (pow b 3))) (/ 1 (* a b))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))
(* -1 (/ (* a c) (pow b 3)))
(-.f64 #s(literal 0 binary64) (fma.f64 a (/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)))
(* -1 (* a (+ (/ 1 (* a b)) (/ c (pow b 3)))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))
(* -1 (* a (+ (/ 1 (* a b)) (/ c (pow b 3)))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))
(* -1 (* a (+ (/ 1 (* a b)) (/ c (pow b 3)))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
(- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))
(- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))
(- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))
(* -1 (/ (* a c) (pow b 3)))
(-.f64 #s(literal 0 binary64) (fma.f64 a (/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)))
(* c (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))
(* c (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))
(* c (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))
(* -1 (/ (* a c) (pow b 3)))
(-.f64 #s(literal 0 binary64) (fma.f64 a (/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)))
(* -1 (* c (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))
(* -1 (* c (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))
(* -1 (* c (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))
(* -1 (/ (* a c) (pow b 3)))
(-.f64 #s(literal 0 binary64) (fma.f64 a (/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64)))) #s(literal 0 binary64)))
(/ (+ (* -1 (* a c)) (* -1 (pow b 2))) (pow b 3))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))
(/ (+ (* -1 (* a c)) (* -1 (pow b 2))) (pow b 3))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))
(/ (+ (* -1 (* a c)) (* -1 (pow b 2))) (pow b 3))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
(/ (- (* -1 (/ (* a c) (pow b 2))) 1) b)
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))
(/ (- (* -1 (/ (* a c) (pow b 2))) 1) b)
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))
(/ (- (* -1 (/ (* a c) (pow b 2))) 1) b)
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
(* -1 (/ (+ 1 (/ (* a c) (pow b 2))) b))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))
(* -1 (/ (+ 1 (/ (* a c) (pow b 2))) b))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))
(* -1 (/ (+ 1 (/ (* a c) (pow b 2))) b))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) (*.f64 b (fma.f64 b b #s(literal 0 binary64)))))
(/ c (pow b 3))
(/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64))))
(/ c (pow b 3))
(/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64))))
(/ c (pow b 3))
(/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64))))
(/ c (pow b 3))
(/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64))))
(/ c (pow b 3))
(/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64))))
(/ c (pow b 3))
(/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64))))
(/ c (pow b 3))
(/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64))))
(/ c (pow b 3))
(/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64))))
(/ c (pow b 3))
(/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64))))
(/ c (pow b 3))
(/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64))))
(/ c (pow b 3))
(/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64))))
(/ c (pow b 3))
(/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64))))
(/ c (pow b 3))
(/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64))))
(/ c (pow b 3))
(/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64))))
(/ c (pow b 3))
(/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64))))
(/ c (pow b 3))
(/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64))))
(/ c (pow b 3))
(/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64))))
(/ c (pow b 3))
(/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64))))
(/ c (pow b 3))
(/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64))))
(/ c (pow b 3))
(/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64))))
(/ c (pow b 3))
(/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64))))
(/ c (pow b 3))
(/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64))))
(/ c (pow b 3))
(/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64))))
(/ c (pow b 3))
(/.f64 c (*.f64 b (fma.f64 b b #s(literal 0 binary64))))
(pow b 3)
(*.f64 b (fma.f64 b b #s(literal 0 binary64)))
(pow b 3)
(*.f64 b (fma.f64 b b #s(literal 0 binary64)))
(pow b 3)
(*.f64 b (fma.f64 b b #s(literal 0 binary64)))
(pow b 3)
(*.f64 b (fma.f64 b b #s(literal 0 binary64)))
(pow b 3)
(*.f64 b (fma.f64 b b #s(literal 0 binary64)))
(pow b 3)
(*.f64 b (fma.f64 b b #s(literal 0 binary64)))
(pow b 3)
(*.f64 b (fma.f64 b b #s(literal 0 binary64)))
(pow b 3)
(*.f64 b (fma.f64 b b #s(literal 0 binary64)))
(pow b 3)
(*.f64 b (fma.f64 b b #s(literal 0 binary64)))
(pow b 3)
(*.f64 b (fma.f64 b b #s(literal 0 binary64)))
(pow b 3)
(*.f64 b (fma.f64 b b #s(literal 0 binary64)))
(pow b 3)
(*.f64 b (fma.f64 b b #s(literal 0 binary64)))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))
(* a c)
(fma.f64 a c #s(literal 0 binary64))

eval136.0ms (1.3%)

Memory: -10.1MiB live, 254.3MiB allocated
Compiler: Compiled 20 550 to 2 394 computations (88.4% saved)

prune141.0ms (1.4%)

Memory

8.2MiB live, 293.2MiB allocated

Pruning

39 alts after pruning (32 fresh and 7 done)

	Pruned	Kept	Total
New	1 065	13	1 078
Fresh	3	19	22
Picked	2	3	5
Done	0	4	4
Total	1 070	39	1 109

Accuracy

95.1%

Counts

1 109 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.8%	(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a)))
	2.7%	(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
	2.4%	(/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a)
	10.6%	(/.f64 (+.f64 (neg.f64 b) (fma.f64 a (.f64 #s(literal -2 binary64) (/.f64 c b)) b)) (.f64 #s(literal 2 binary64) a))
	37.1%	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))) (*.f64 #s(literal 2 binary64) a))
	23.1%	(/.f64 (.f64 (fma.f64 b b (.f64 #s(literal 4 binary64) (.f64 a c))) #s(literal 1/2 binary64)) (.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) a))
	35.4%	(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 c #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) a)
	20.8%	(/.f64 (.f64 (.f64 a c) (/.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 2 binary64) a))
	9.7%	(/.f64 c b)
	22.5%	(/.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) a)))
	37.2%	(/.f64 b (neg.f64 a))
✓	2.7%	(/.f64 b a)
	9.7%	(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 1 binary64) c)))
	29.7%	(/.f64 #s(literal 1 binary64) (/.f64 a (.f64 #s(literal 1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))))))
	2.7%	(/.f64 #s(literal 1 binary64) (/.f64 a b))
✓	35.9%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) a))
✓	2.7%	(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a))
	1.9%	(/.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (.f64 (log.f64 (*.f64 b #s(literal 2 binary64))) #s(literal -1 binary64))) a))
	15.7%	(-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64))))
	24.1%	(.f64 (pow.f64 (/.f64 a c) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 (.f64 a #s(literal -2 binary64)) b)) #s(literal -1 binary64)))
	24.5%	(.f64 (/.f64 (.f64 a #s(literal -2 binary64)) b) (*.f64 c (/.f64 #s(literal 1/2 binary64) a)))
	9.7%	(.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (.f64 a c) a))
	2.7%	(*.f64 (/.f64 #s(literal 1 binary64) a) b)
	20.1%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (fma.f64 (sqrt.f64 (.f64 c #s(literal -4 binary64))) (sqrt.f64 a) b))
	2.5%	(*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (/.f64 (fma.f64 b b #s(literal 0 binary64)) b)))
	29.2%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (/.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))))))
✓	29.8%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (.f64 (*.f64 a c) #s(literal -4 binary64)))))
✓	8.6%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (.f64 b b))))
	9.7%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 (*.f64 a c) (/.f64 #s(literal 2 binary64) b)))
	9.7%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 c b)))
	22.0%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)))
	37.1%	(*.f64 (/.f64 #s(literal -1 binary64) a) b)
	9.7%	(.f64 (.f64 #s(literal 1 binary64) c) (/.f64 #s(literal 1 binary64) b))
	28.7%	(*.f64 c (fma.f64 (/.f64 (/.f64 c b) b) (/.f64 a (-.f64 #s(literal 0 binary64) b)) (/.f64 #s(literal -1 binary64) b)))
✓	27.6%	(.f64 c (fma.f64 (neg.f64 a) (/.f64 c (.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)))
	29.1%	(*.f64 c (/.f64 #s(literal -1 binary64) b))
	13.8%	(.f64 c (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) (.f64 b (fma.f64 b b #s(literal 0 binary64))))))
	29.2%	(neg.f64 (/.f64 c b))
✓	10.2%	#s(literal 0 binary64)

Compiler

Compiled 1 316 to 586 computations (55.5% saved)

regimes76.0ms (0.7%)

Memory

24.6MiB live, 101.4MiB allocated

Counts

62 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 c b))
(/.f64 b (neg.f64 a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(*.f64 c (/.f64 #s(literal -1 binary64) b))
(*.f64 (/.f64 #s(literal -1 binary64) a) b)
(*.f64 (/.f64 #s(literal 1 binary64) a) b)
(*.f64 c (neg.f64 (/.f64 #s(literal 1 binary64) b)))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b b))
(.f64 (.f64 #s(literal 1 binary64) c) (/.f64 #s(literal 1 binary64) b))
(/.f64 (+.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 a b))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a))
(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) b) c))
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 #s(literal 1 binary64) c)))
(/.f64 (-.f64 b (/.f64 (*.f64 c a) b)) a)
(.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (.f64 a c) a))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1/2 binary64) b))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (.f64 b b))))
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (/.f64 (fma.f64 b b #s(literal 0 binary64)) b)))
(/.f64 b (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a)))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 (*.f64 a #s(literal 2 binary64)) (/.f64 c b)))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 (*.f64 a c) (/.f64 #s(literal 2 binary64) b)))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (.f64 #s(literal 2 binary64) (*.f64 a c)) b))
(.f64 (/.f64 (.f64 a #s(literal -2 binary64)) b) (*.f64 c (/.f64 #s(literal 1/2 binary64) a)))
(/.f64 (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (.f64 (.f64 a c) (/.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 2 binary64) a))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (.f64 (*.f64 a c) #s(literal -4 binary64)))))
(/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (*.f64 c #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) a)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
(.f64 c (-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 b b (fma.f64 a c #s(literal 0 binary64))) (.f64 b (fma.f64 b b #s(literal 0 binary64))))))
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (fma.f64 a (.f64 #s(literal -2 binary64) (/.f64 c b)) b)) (.f64 #s(literal 2 binary64) a))
(.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (.f64 a c) (.f64 b (.f64 b b)))))
(.f64 c (fma.f64 (neg.f64 a) (/.f64 c (.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))
(/.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) #s(literal 1/2 binary64)) a)
(/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a (.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) b) #s(literal 1/2 binary64)) a)
(.f64 (/.f64 #s(literal 1/2 binary64) a) (fma.f64 (sqrt.f64 (.f64 c #s(literal -4 binary64))) (sqrt.f64 a) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 a (.f64 #s(literal 1/2 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))))
(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) a))
(*.f64 c (fma.f64 (/.f64 (/.f64 c b) b) (/.f64 a (-.f64 #s(literal 0 binary64) b)) (/.f64 #s(literal -1 binary64) b)))
(/.f64 (.f64 (.f64 a c) #s(literal 4 binary64)) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 a #s(literal -2 binary64))))
(/.f64 (.f64 (fma.f64 b b (.f64 #s(literal 4 binary64) (.f64 a c))) #s(literal 1/2 binary64)) (.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) a))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (/.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) #s(literal 0 binary64))))))
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a c) #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))) (.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 b b (fma.f64 b b (.f64 a (.f64 #s(literal 4 binary64) c)))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))) (*.f64 a #s(literal -2 binary64))))
(/.f64 (+.f64 (neg.f64 b) (/.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))) (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (fma.f64 b (+.f64 b b) (.f64 a (.f64 c #s(literal 4 binary64)))) (+.f64 b (sqrt.f64 (fma.f64 b b (fma.f64 a (.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))))) (.f64 a #s(literal -2 binary64)))
(.f64 c (fma.f64 c (fma.f64 (.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (.f64 c #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) a) (.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))
(-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64))))
(/.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (.f64 (log.f64 (*.f64 b #s(literal 2 binary64))) #s(literal -1 binary64))) a))
(.f64 (pow.f64 (/.f64 a c) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 (.f64 a #s(literal -2 binary64)) b)) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64))) (-.f64 (.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64)))) (.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64)))))))

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

Calls

4 calls:

20.0ms	b
19.0ms	c
17.0ms	a
16.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
56.3%	3	`a`
86.4%	3	`b`
52.6%	1	`c`
80.7%	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes19.0ms (0.2%)

Memory

-22.7MiB live, 18.0MiB allocated

Counts

42 → 3

Calls

Call 1

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

Outputs

(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a)))

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

(neg.f64 (/.f64 c b))

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
82.5%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

33 → 3

Calls

Call 1

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

Outputs

(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a)))

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

(neg.f64 (/.f64 c b))

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
82.4%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes24.0ms (0.2%)

Memory

-12.0MiB live, 24.7MiB allocated

Counts

32 → 2

Calls

Call 1

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

Outputs
(/.f64 b (neg.f64 a))
(neg.f64 (/.f64 c b))

Calls

2 calls:

13.0ms	b
9.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
53.1%	3	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
63.9%	2	`b`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes9.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 b a)
(/.f64 c b)
(neg.f64 (/.f64 c b))

Outputs
(neg.f64 (/.f64 c b))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
29.2%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
29.2%	1	`c`
29.2%	1	`a`
29.2%	1	`b`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes8.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Accuracy

Total -5.5b remaining (-9.6%)

Threshold costs -5.5b (-9.6%)

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 b a)
(/.f64 c b)

Outputs
#s(literal 0 binary64)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
10.2%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
10.2%	1	`b`
10.2%	1	`c`
10.2%	1	`a`

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch48.0ms (0.5%)

Memory

-12.0MiB live, 63.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	2.054883567907685e-13	5.616010715466853e-12
19.0ms	-3.3079733711102337e+158	-6.1767225984627266e+150

Samples

18.0ms	189×	0	valid
11.0ms	39×	2	valid
4.0ms	27×	1	valid
1.0ms	15×	0	invalid
0.0ms	1×	3	valid

Compiler

Compiled 471 to 340 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 8.0ms (35.2% of total)

ival-div: 5.0ms (22% of total)

ival-sqrt: 3.0ms (13.2% of total)

ival-neg: 2.0ms (8.8% of total)

ival-sub: 2.0ms (8.8% of total)

ival-add: 2.0ms (8.8% of total)

adjust: 1.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch47.0ms (0.5%)

Memory

-24.4MiB live, 59.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	2.054883567907685e-13	5.616010715466853e-12
18.0ms	-7.176542247810905e-104	-3.4260314186317345e-106

Samples

15.0ms	158×	0	valid
7.0ms	36×	2	valid
4.0ms	30×	1	valid
3.0ms	45×	0	invalid

Compiler

Compiled 415 to 300 computations (27.7% saved)

Precisions

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

ival-mult: 7.0ms (35.8% of total)

ival-sqrt: 3.0ms (15.3% of total)

ival-div: 2.0ms (10.2% of total)

ival-sub: 2.0ms (10.2% of total)

ival-neg: 2.0ms (10.2% of total)

ival-add: 2.0ms (10.2% of total)

adjust: 1.0ms (5.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch41.0ms (0.4%)

Memory

7.7MiB live, 45.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.054883567907685e-13	5.616010715466853e-12
16.0ms	-7.176542247810905e-104	-3.4260314186317345e-106

Samples

13.0ms	168×	0	valid
7.0ms	33×	2	valid
3.0ms	41×	0	invalid
3.0ms	22×	1	valid
0.0ms	1×	3	valid

Compiler

Compiled 415 to 300 computations (27.7% saved)

Precisions

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

ival-mult: 7.0ms (37.8% of total)

ival-sqrt: 3.0ms (16.2% of total)

ival-div: 2.0ms (10.8% of total)

ival-neg: 2.0ms (10.8% of total)

ival-sub: 2.0ms (10.8% of total)

ival-add: 2.0ms (10.8% of total)

adjust: 1.0ms (5.4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch33.0ms (0.3%)

Memory

0.3MiB live, 38.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	-2.467919639536414e-292	1.4868963065089512e-305

Samples

14.0ms	176×	0	valid
7.0ms	85×	0	invalid

Compiler

Compiled 199 to 152 computations (23.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 6.0ms (45.1% of total)

ival-div: 2.0ms (15% of total)

ival-sqrt: 2.0ms (15% of total)

ival-add: 1.0ms (7.5% of total)

ival-sub: 1.0ms (7.5% of total)

ival-neg: 1.0ms (7.5% of total)

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

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

exact: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
16×	`+-commutative_binary64`
14×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	119
1	76	119
2	89	119
3	96	119
4	99	119

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -949999999999999916014911815063082266330659399464392494432063427444110651118631627979627780922898033344276867657264521919530475347558880765940257450360832 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 8160500738969227/39614081257132168796771975168 binary64)) (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a (.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) b) #s(literal 1/2 binary64)) a) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -746431605384497/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a))) (if (<=.f64 b #s(literal 4456584141427369/19807040628566084398385987584 binary64)) (/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) a) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -726257778211943/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a))) (if (<=.f64 b #s(literal 8318957063997755/19807040628566084398385987584 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64))))) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 b (neg.f64 a)) (neg.f64 (/.f64 c b)))
(neg.f64 (/.f64 c b))
#s(literal 0 binary64)

Outputs
(if (<=.f64 b #s(literal -949999999999999916014911815063082266330659399464392494432063427444110651118631627979627780922898033344276867657264521919530475347558880765940257450360832 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 8160500738969227/39614081257132168796771975168 binary64)) (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a (.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) b) #s(literal 1/2 binary64)) a) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -949999999999999916014911815063082266330659399464392494432063427444110651118631627979627780922898033344276867657264521919530475347558880765940257450360832 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (if (<=.f64 b #s(literal 8160500738969227/39614081257132168796771975168 binary64)) (/.f64 (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (fma.f64 a (.f64 c #s(literal -4 binary64)) #s(literal 0 binary64)))) b) #s(literal 1/2 binary64)) a) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -746431605384497/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a))) (if (<=.f64 b #s(literal 4456584141427369/19807040628566084398385987584 binary64)) (/.f64 (.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))) b) #s(literal 1/2 binary64)) a) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -746431605384497/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) (fma.f64 b (/.f64 c (.f64 b b)) (-.f64 #s(literal 0 binary64) (/.f64 b a))) (if (<=.f64 b #s(literal 4456584141427369/19807040628566084398385987584 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))) b)) a) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -726257778211943/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a))) (if (<=.f64 b #s(literal 8318957063997755/19807040628566084398385987584 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64))))) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -726257778211943/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584 binary64)) (fma.f64 b (/.f64 c (.f64 b b)) (-.f64 #s(literal 0 binary64) (/.f64 b a))) (if (<=.f64 b #s(literal 8318957063997755/19807040628566084398385987584 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 a c))))) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 b (neg.f64 a)) (neg.f64 (/.f64 c b)))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(neg.f64 (/.f64 c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
#s(literal 0 binary64)

soundness1.0s (9.9%)

Memory

7.1MiB live, 638.1MiB allocated

Rules

11 458×	`accelerator-lowering-fma.f32`
11 458×	`accelerator-lowering-fma.f64`
7 766×	`-lowering-.f32`
7 766×	`-lowering-.f64`
7 706×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1147	10018
1	3811	9681
0	8080	9278
0	14	49
1	68	47
2	525	47
3	6857	47
0	8150	43
0	1206	11059
1	3961	10799
0	8177	10344
0	38	209
1	230	186
2	2275	186
0	8497	174
0	25	84
1	135	78
2	1129	72
0	9210	72
0	545	3249
1	1738	3208
2	6083	3180
0	8243	3023

Stop Event

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

Compiler

Compiled 325 to 194 computations (40.3% saved)

preprocess102.0ms (1%)

Memory: -31.8MiB live, 120.0MiB allocated
Compiler: Compiled 518 to 188 computations (63.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze141.0ms (1.4%)

sample1.5s (14.4%)

preprocess167.0ms (1.6%)

explain197.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify89.0ms (0.9%)

localize61.0ms (0.6%)

series28.0ms (0.3%)

rewrite334.0ms (3.2%)

simplify499.0ms (4.8%)

eval75.0ms (0.7%)

prune92.0ms (0.9%)

simplify251.0ms (2.4%)

localize236.0ms (2.3%)

series81.0ms (0.8%)

rewrite435.0ms (4.2%)

simplify571.0ms (5.5%)

eval586.0ms (5.7%)

prune282.0ms (2.7%)

simplify270.0ms (2.6%)

localize172.0ms (1.7%)

series56.0ms (0.5%)

rewrite229.0ms (2.2%)

simplify614.0ms (5.9%)

eval131.0ms (1.3%)

prune130.0ms (1.3%)

simplify587.0ms (5.7%)

localize70.0ms (0.7%)

series58.0ms (0.6%)

rewrite434.0ms (4.2%)

simplify232.0ms (2.2%)

eval136.0ms (1.3%)

prune141.0ms (1.4%)

regimes76.0ms (0.7%)

regimes19.0ms (0.2%)

regimes11.0ms (0.1%)

regimes24.0ms (0.2%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch48.0ms (0.5%)

bsearch47.0ms (0.5%)

bsearch41.0ms (0.4%)

bsearch33.0ms (0.3%)

simplify10.0ms (0.1%)

soundness1.0s (9.9%)

preprocess102.0ms (1%)

end0.0ms (0%)

Profiling