Metrics for quadp (p42, positive)

analyze155.0ms (1.3%)

Memory

28.7MiB live, 184.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 19 to 16 computations (15.8% saved)

sample1.5s (12.8%)

Memory

22.4MiB live, 1 416.5MiB allocated

Samples

514.0ms	5 604×	0	valid
298.0ms	1 096×	2	valid
184.0ms	1 323×	1	valid
72.0ms	932×	0	invalid
43.0ms	173×	3	valid
19.0ms	60×	4	valid
3.0ms	8×	5	exit

Precisions

Click to see histograms. Total time spent on operations: 835.0ms

ival-mult: 367.0ms (44% of total)

ival-sqrt: 104.0ms (12.5% of total)

ival-div: 93.0ms (11.1% of total)

ival-sub: 70.0ms (8.4% of total)

ival-neg: 68.0ms (8.1% of total)

ival-add: 68.0ms (8.1% of total)

adjust: 46.0ms (5.5% of total)

exact: 9.0ms (1.1% of total)

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

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

Bogosity

preprocess167.0ms (1.4%)

Memory

21.8MiB live, 143.1MiB 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))

explain198.0ms (1.7%)

Memory

-26.5MiB live, 270.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
89	0	-	-	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))`
56	0	-	-	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`
16	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))`
4	0	-	-	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`
0	0	-	-	`a`
0	1	(-9.128545527592848e-296 3.748923845117911e+208 -1.2929353424505845e-29)	-	`(.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	87	0
↳	`(*.f64 b b)`	overflow	74
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	overflow	19
↳	`(*.f64 a c)`	overflow	19
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	overflow	87
`+.f64`	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`	cancellation	56	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	15	0
↳	`(*.f64 b b)`	underflow	43
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	underflow	24
↳	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`	underflow	21
↳	`(*.f64 a c)`	underflow	25
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	underflow	2
`-.f64`	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	nan-rescue	4	0
↳	`(*.f64 b b)`	overflow	74
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	overflow	19
↳	`(*.f64 a c)`	overflow	19
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))`	uflow-rescue	2	0
↳	`(*.f64 b b)`	underflow	43
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	underflow	24
↳	`(*.f64 a c)`	underflow	25
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	underflow	2
`*.f64`	`(.f64 #s(literal 4 binary64) (.f64 a c))`	*nu**	1	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))`	o/n	1	0
↳	`(*.f64 b b)`	overflow	74
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	overflow	19
↳	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`	overflow	1
↳	`(*.f64 a c)`	overflow	19
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	overflow	87

Confusion

	Predicted +	Predicted -
+	118	0
-	15	123

Precision

0.8872180451127819

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	118	0	0
-	15	0	123

Precision?

0.8872180451127819

Recall?

1.0

Freqs

test

number	freq
0	123
1	102
2	29
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

41.0ms	360×	0	valid
13.0ms	84×	1	valid
11.0ms	50×	2	valid
4.0ms	14×	3	valid
1.0ms	4×	4	valid

Compiler

Compiled 184 to 60 computations (67.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 14.0ms (32% of total)

ival-div: 9.0ms (20.6% of total)

ival-sqrt: 7.0ms (16% of total)

ival-add: 4.0ms (9.1% of total)

ival-sub: 3.0ms (6.9% of total)

adjust: 3.0ms (6.9% of total)

ival-neg: 3.0ms (6.9% of total)

exact: 1.0ms (2.3% 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

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.4%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Compiler

Compiled 20 to 14 computations (30% saved)

simplify103.0ms (0.9%)

Memory

-12.3MiB live, 63.8MiB 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)

localize54.0ms (0.5%)

Memory

19.2MiB live, 61.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.7%	(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))
✓	accuracy	94.2%	(/.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))
✓	accuracy	79.6%	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))
✓	accuracy	67.7%	(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))

Samples

20.0ms	180×	0	valid
7.0ms	42×	1	valid
6.0ms	25×	2	valid
2.0ms	7×	3	valid
1.0ms	2×	4	valid

Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions

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

ival-mult: 10.0ms (43.8% of total)

ival-sqrt: 3.0ms (13.1% of total)

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

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

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

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

adjust: 1.0ms (4.4% of total)

exact: 0.0ms (0% of total)

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

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

series22.0ms (0.2%)

Memory

-3.5MiB live, 34.0MiB 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
2.0ms	b	@	0	(- (* 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))
1.0ms	b	@	inf	(+ (neg b) (sqrt (- (* b b) (* 4 (* a c)))))

rewrite350.0ms (3%)

Memory

-9.0MiB live, 465.3MiB 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)
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(.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))
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(.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))
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(.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))))))
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(.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)))))))))))
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(.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))))))

simplify459.0ms (3.9%)

Memory

0.9MiB live, 712.3MiB 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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eval73.0ms (0.6%)

Memory: 25.7MiB live, 136.5MiB allocated
Compiler: Compiled 22 762 to 1 970 computations (91.3% saved)

prune118.0ms (1%)

Memory

-3.5MiB live, 196.5MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	536	17	553
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	537	17	554

Accuracy

94.0%

Counts

554 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.6%	(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a)))
▶	25.0%	(/.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))))
	15.7%	(/.f64 (/.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) (.f64 #s(literal 2 binary64) a))
	49.5%	(/.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))
	56.3%	(/.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))
	36.2%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
	8.6%	(/.f64 (+.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a))
▶	23.7%	(/.f64 (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
	36.7%	(/.f64 b (-.f64 #s(literal 0 binary64) a))
	36.3%	(/.f64 #s(literal 1 binary64) (/.f64 #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))))) a)))
▶	36.2%	(/.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)))))))
	36.2%	(/.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))
▶	56.3%	(/.f64 #s(literal -1 binary64) (/.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)))))))
▶	32.1%	(-.f64 #s(literal 0 binary64) (/.f64 c b))
	56.3%	(.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))))))
	28.1%	(.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)))
	25.7%	(neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))

Compiler

Compiled 700 to 446 computations (36.3% saved)

simplify254.0ms (2.2%)

Memory

-12.1MiB live, 296.0MiB 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	(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 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))
✓	cost-diff	512	(/.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)))))))
✓	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	1408	(/.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 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))
✓	cost-diff	0	(/.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))))))
✓	cost-diff	128	(*.f64 a #s(literal 2 binary64))
✓	cost-diff	704	(/.f64 #s(literal -1 binary64) (/.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)))))))

Rules

4 420×	`-lowering-.f32`
4 420×	`-lowering-.f64`
2 990×	`/-lowering-/.f32`
2 990×	`/-lowering-/.f64`
2 740×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	314
1	84	308
2	225	308
3	515	308
4	1078	308
5	3095	308
6	4937	308
0	8111	290

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize295.0ms (2.5%)

Memory

-6.0MiB live, 270.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(.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	77.6%	(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))
✓	accuracy	76.5%	(/.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	67.7%	(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))
✓	accuracy	99.1%	(/.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)))))))
✓	accuracy	94.9%	(/.f64 a (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))))
✓	accuracy	77.6%	(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))
✓	accuracy	67.7%	(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	89.6%	(.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))
✓	accuracy	85.4%	(/.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	99.2%	(/.f64 #s(literal -1 binary64) (/.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)))))))
✓	accuracy	94.2%	(/.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))))))
✓	accuracy	79.6%	(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))
✓	accuracy	67.7%	(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))

Samples

40.0ms	75×	1	valid
36.0ms	66×	2	valid
22.0ms	95×	0	valid
11.0ms	14×	3	valid
4.0ms	5×	4	valid
1.0ms	1×	5	exit

Compiler

Compiled 322 to 38 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-div: 19.0ms (26% of total)

ival-add: 18.0ms (24.6% of total)

ival-mult: 17.0ms (23.2% of total)

adjust: 7.0ms (9.6% of total)

ival-sqrt: 6.0ms (8.2% of total)

ival-sub: 4.0ms (5.5% of total)

exact: 1.0ms (1.4% of total)

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

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

series85.0ms (0.7%)

Memory

-1.5MiB live, 115.0MiB allocated

Counts

20 → 588

Calls

Call 1

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

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

Calls

147 calls:

Time	Variable		Point	Expression
6.0ms	a	@	-inf	(- b (sqrt (+ (* a (* c -4)) (+ (* b b) 0))))
5.0ms	b	@	-inf	(/ a (+ b (sqrt (+ (* a (* c -4)) (+ (* b b) 0)))))
3.0ms	b	@	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	a	@	inf	(/ (+ (* b b) (+ (* b b) (* a (* 4 c)))) (* (+ b (sqrt (+ (* a (* c -4)) (+ (* b b) 0)))) (* a -2)))

rewrite407.0ms (3.5%)

Memory

5.2MiB live, 634.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 818×	`/-lowering-/.f32`
4 818×	`/-lowering-/.f64`
4 800×	`-lowering-.f32`
4 800×	`-lowering-.f64`
2 852×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	208
1	218	202
2	2026	202
0	8656	190

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 693

Calls

Call 1

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

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

simplify646.0ms (5.5%)

Memory

31.4MiB live, 670.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 688×	`-lowering-.f32`
7 688×	`-lowering-.f64`
6 142×	`accelerator-lowering-fma.f32`
6 142×	`accelerator-lowering-fma.f64`
3 342×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1683	11661
1	5742	11260
0	8204	10855

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 588

Calls

Call 1

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

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

eval221.0ms (1.9%)

Memory: -1.0MiB live, 379.8MiB allocated
Compiler: Compiled 55 150 to 4 190 computations (92.4% saved)

prune198.0ms (1.7%)

Memory

19.7MiB live, 340.6MiB allocated

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	1 474	14	1 488
Fresh	5	7	12
Picked	3	2	5
Done	0	0	0
Total	1 482	23	1 505

Accuracy

94.0%

Counts

1 505 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	36.6%	(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 a (.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))) (.f64 a #s(literal -2 binary64)))
	56.3%	(/.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))
	36.2%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
	27.9%	(/.f64 (.f64 (.f64 c (*.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) b)
▶	43.6%	(/.f64 (.f64 (.f64 a #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))))
	8.1%	(/.f64 c b)
	36.7%	(/.f64 b (-.f64 #s(literal 0 binary64) a))
▶	2.7%	(/.f64 b a)
	8.1%	(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
✓	36.2%	(/.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)))))))
	2.7%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b b)))
	2.2%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 b (fma.f64 #s(literal -2 binary64) (.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64)))))
	36.2%	(/.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))
✓	56.3%	(/.f64 #s(literal -1 binary64) (/.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)))))))
	31.6%	(/.f64 #s(literal -1 binary64) (/.f64 b c))
▶	36.5%	(/.f64 #s(literal -1 binary64) (/.f64 a b))
	32.0%	(/.f64 #s(literal -1 binary64) (-.f64 (/.f64 b c) (/.f64 a b)))
	24.9%	(.f64 (fma.f64 b (+.f64 b b) (.f64 a (.f64 c #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (.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))))))))
▶	56.3%	(.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))))))
	28.1%	(.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)))
	32.0%	(*.f64 c (neg.f64 (/.f64 #s(literal 1 binary64) b)))
	32.1%	(neg.f64 (/.f64 c b))

Compiler

Compiled 698 to 478 computations (31.5% saved)

simplify460.0ms (3.9%)

Memory

-58.9MiB live, 244.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	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	1152	(/.f64 (.f64 (.f64 a #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	0	(-.f64 #s(literal 0 binary64) a)
✓	cost-diff	0	(/.f64 b (-.f64 #s(literal 0 binary64) a))
✓	cost-diff	0	(/.f64 c (*.f64 b b))
✓	cost-diff	768	(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a)))
✓	cost-diff	0	(/.f64 a b)
✓	cost-diff	512	(/.f64 #s(literal -1 binary64) (/.f64 a b))
✓	cost-diff	0	(/.f64 b a)
✓	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)

Rules

6 042×	`-lowering-.f32`
6 042×	`-lowering-.f64`
3 620×	`/-lowering-/.f32`
3 620×	`/-lowering-/.f64`
3 144×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	202
1	73	202
2	196	195
3	559	189
4	1259	189
5	3664	189
6	4844	189
7	6396	189
0	8739	180

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize201.0ms (1.7%)

Memory

14.4MiB live, 208.1MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(.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	77.6%	(+.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))
✓	accuracy	72.1%	(/.f64 (.f64 (.f64 a #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	68.0%	(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) a)
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	92.6%	(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (-.f64 #s(literal 0 binary64) a)))
✓	accuracy	89.7%	(/.f64 c (*.f64 b b))
✓	accuracy	100.0%	(/.f64 a b)
✓	accuracy	99.1%	(/.f64 #s(literal -1 binary64) (/.f64 a b))
✓	accuracy	100.0%	(/.f64 b a)
✓	accuracy	100.0%	(fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))
✓	accuracy	94.0%	(.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	79.6%	(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64)))))
✓	accuracy	68.0%	(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (fma.f64 b b #s(literal 0 binary64))))

Samples

53.0ms	95×	0	valid
37.0ms	75×	1	valid
29.0ms	66×	2	valid
8.0ms	14×	3	valid
3.0ms	5×	4	valid
1.0ms	1×	5	exit

Compiler

Compiled 207 to 34 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-mult: 50.0ms (50.4% of total)

ival-add: 21.0ms (21.2% of total)

ival-div: 14.0ms (14.1% of total)

adjust: 5.0ms (5% of total)

ival-sub: 4.0ms (4% of total)

ival-sqrt: 4.0ms (4% of total)

exact: 1.0ms (1% of total)

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

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

series31.0ms (0.3%)

Memory

24.8MiB live, 61.3MiB allocated

Counts

16 → 444

Calls

Call 1

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

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

Calls

111 calls:

Time	Variable		Point	Expression
8.0ms	a	@	-inf	(/ (* (* a 4) c) (* (+ b (sqrt (+ (* a (* c -4)) (+ (* b b) 0)))) (* a -2)))
1.0ms	a	@	inf	(/ (* (* a 4) c) (* (+ b (sqrt (+ (* a (* c -4)) (+ (* b b) 0)))) (* a -2)))
1.0ms	c	@	inf	(/ (* (* a 4) c) (* (+ b (sqrt (+ (* a (* c -4)) (+ (* b b) 0)))) (* a -2)))
1.0ms	c	@	-inf	(/ (* (* a 4) c) (* (+ b (sqrt (+ (* a (* c -4)) (+ (* b b) 0)))) (* a -2)))
1.0ms	b	@	-inf	(/ (* (* a 4) c) (* (+ b (sqrt (+ (* a (* c -4)) (+ (* b b) 0)))) (* a -2)))

rewrite496.0ms (4.2%)

Memory

-4.0MiB live, 710.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 148×	`/-lowering-/.f32`
5 148×	`/-lowering-/.f64`
4 450×	`-lowering-.f32`
4 450×	`-lowering-.f64`
3 844×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	138
1	186	135
2	1649	132
0	8988	125

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 795

Calls

Call 1

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

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

simplify504.0ms (4.3%)

Memory

-9.6MiB live, 624.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 528×	`accelerator-lowering-fma.f32`
8 528×	`accelerator-lowering-fma.f64`
6 684×	`-lowering-.f32`
6 684×	`-lowering-.f64`
5 866×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1068	7122
1	3537	6926
0	8051	6659

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

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

Outputs
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64))))
(- b (* (sqrt (* a c)) (sqrt -4)))
(-.f64 b (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(-.f64 (.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 (+ 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)))
(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)) (neg.f64 (sqrt.f64 #s(literal -4 binary64)))))
(* 2 (/ (* a c) b))
(/.f64 (.f64 (.f64 a c) #s(literal 2 binary64)) b)
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 a a) (/.f64 (.f64 c c) (.f64 b b)) (*.f64 a c))) b)
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(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -2 (* a b)) (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) c)))))
(.f64 (-.f64 #s(literal 0 binary64) c) (fma.f64 (.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (.f64 (*.f64 a #s(literal -2 binary64)) b)) (-.f64 #s(literal 0 binary64) c))))
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -2 (* a b)) (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1)))) (* 1/32 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1))))) c))) c)))))
(-.f64 #s(literal 0 binary64) (.f64 c (-.f64 (.f64 #s(literal -4 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c)))) (/.f64 (-.f64 (.f64 (.f64 a #s(literal -2 binary64)) b) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (.f64 a c)) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/32 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) c)) c))))

eval422.0ms (3.6%)

Memory: -1.0MiB live, 289.3MiB allocated
Compiler: Compiled 37 769 to 3 817 computations (89.9% saved)

prune192.0ms (1.6%)

Memory

17.7MiB live, 368.8MiB allocated

Pruning

36 alts after pruning (33 fresh and 3 done)

	Pruned	Kept	Total
New	1 391	23	1 414
Fresh	6	10	16
Picked	3	2	5
Done	1	1	2
Total	1 401	36	1 437

Accuracy

94.0%

Counts

1 437 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.7%	(fma.f64 (/.f64 #s(literal -1 binary64) a) b (/.f64 c b))
	36.8%	(fma.f64 c (/.f64 #s(literal 1 binary64) b) (neg.f64 (/.f64 b a)))
▶	36.6%	(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
	36.7%	(fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c b))) (/.f64 b (-.f64 #s(literal 0 binary64) a)))
	48.4%	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (+.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)))
	36.7%	(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)
	24.5%	(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)
	36.2%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
	27.9%	(/.f64 (.f64 (.f64 c (*.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) b)
	43.6%	(/.f64 (.f64 (.f64 a #s(literal 4 binary64)) c) (.f64 (+.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (.f64 a #s(literal -2 binary64))))
	29.5%	(/.f64 (.f64 (.f64 a #s(literal 4 binary64)) c) (.f64 (+.f64 b (sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64)))) (.f64 a #s(literal -2 binary64))))
	25.3%	(/.f64 (.f64 (.f64 a #s(literal 4 binary64)) c) (.f64 a (fma.f64 #s(literal -4 binary64) b (.f64 (*.f64 a (/.f64 c b)) #s(literal 4 binary64)))))
▶	8.1%	(/.f64 c b)
✓	2.7%	(/.f64 b a)
	8.1%	(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
✓	36.2%	(/.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)))))))
▶	2.2%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 b (fma.f64 #s(literal -2 binary64) (.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64)))))
	36.2%	(/.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))
	31.6%	(/.f64 #s(literal -1 binary64) (/.f64 b c))
✓	36.5%	(/.f64 #s(literal -1 binary64) (/.f64 a b))
	36.6%	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 b a)))
	32.0%	(/.f64 #s(literal -1 binary64) (-.f64 (/.f64 b c) (/.f64 a b)))
▶	36.8%	(-.f64 (/.f64 c b) (/.f64 b a))
	10.9%	(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64)))) a)
	15.5%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) (.f64 a (fma.f64 a a #s(literal 0 binary64)))) (fma.f64 a a #s(literal 0 binary64)))
	20.5%	(*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64)))) a)
	43.6%	(.f64 (/.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 a #s(literal -2 binary64)))) (.f64 a (.f64 c #s(literal 4 binary64))))
	2.7%	(*.f64 (/.f64 #s(literal 1 binary64) a) b)
▶	56.3%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))
	36.1%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (.f64 (*.f64 a c) #s(literal -4 binary64)))))
	36.6%	(*.f64 (/.f64 #s(literal -1 binary64) a) b)
	46.9%	(.f64 c (/.f64 (.f64 a #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)))))
	32.0%	(*.f64 c (neg.f64 (/.f64 #s(literal 1 binary64) b)))
	32.1%	(neg.f64 (/.f64 c b))
	36.7%	(neg.f64 (/.f64 b a))
	6.0%	(exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)))

Compiler

Compiled 983 to 663 computations (32.6% saved)

simplify287.0ms (2.4%)

Memory

-24.5MiB live, 306.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 #s(literal -2 binary64) (.f64 a (/.f64 c (.f64 b b))) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 a (.f64 b (fma.f64 #s(literal -2 binary64) (.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64))))
✓	cost-diff	320	(.f64 b (fma.f64 #s(literal -2 binary64) (.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64)))
✓	cost-diff	1664	(/.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 b (fma.f64 #s(literal -2 binary64) (.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64)))))
✓	cost-diff	-64	(*.f64 b b)
✓	cost-diff	0	(/.f64 b (neg.f64 a))
✓	cost-diff	0	(/.f64 c (*.f64 b b))
✓	cost-diff	768	(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
✓	cost-diff	0	(/.f64 b a)
✓	cost-diff	0	(/.f64 c b)
✓	cost-diff	0	(-.f64 (/.f64 c b) (/.f64 b a))
✓	cost-diff	0	(/.f64 c b)
✓	cost-diff	0	(sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))
✓	cost-diff	0	(-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) a)
✓	cost-diff	64	(fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))

Rules

7 932×	`accelerator-lowering-fma.f32`
7 932×	`accelerator-lowering-fma.f64`
5 298×	`-lowering-.f32`
5 298×	`-lowering-.f64`
1 554×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	183
1	69	183
2	178	183
3	488	175
4	1402	172
5	3929	169
6	5151	169
0	8115	162

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize169.0ms (1.4%)

Memory

-3.2MiB live, 113.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	94.8%	(/.f64 a (.f64 b (fma.f64 #s(literal -2 binary64) (.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64))))
✓	accuracy	92.4%	(.f64 a (/.f64 c (.f64 b b)))
✓	accuracy	91.1%	(.f64 b (fma.f64 #s(literal -2 binary64) (.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64)))
✓	accuracy	89.7%	(/.f64 c (*.f64 b b))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(neg.f64 a)
✓	accuracy	92.6%	(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
✓	accuracy	89.7%	(/.f64 c (*.f64 b b))
✓	accuracy	100.0%	(/.f64 c b)
✓	accuracy	100.0%	(/.f64 b a)
✓	accuracy	100.0%	(-.f64 (/.f64 c b) (/.f64 b a))
✓	accuracy	100.0%	(/.f64 c b)
✓	accuracy	98.7%	(fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))
✓	accuracy	94.0%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))
✓	accuracy	79.6%	(-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))
✓	accuracy	67.7%	(sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))

Samples

54.0ms	180×	0	valid
54.0ms	42×	1	valid
13.0ms	25×	2	valid
5.0ms	7×	3	valid
1.0ms	2×	4	valid

Compiler

Compiled 181 to 32 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-div: 15.0ms (33.2% of total)

ival-mult: 15.0ms (33.2% of total)

ival-add: 5.0ms (11.1% of total)

adjust: 3.0ms (6.6% of total)

ival-sqrt: 3.0ms (6.6% of total)

ival-sub: 3.0ms (6.6% of total)

exact: 1.0ms (2.2% of total)

ival-neg: 1.0ms (2.2% of total)

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

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

series37.0ms (0.3%)

Memory

2.5MiB live, 39.9MiB allocated

Counts

18 → 528

Calls

Call 1

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

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

Calls

132 calls:

Time	Variable		Point	Expression
12.0ms	c	@	-inf	(/ 1/2 (/ a (* b (+ (* -2 (* a (/ c (* b b)))) 2))))
1.0ms	a	@	inf	(/ 1/2 (/ a (* b (+ (* -2 (* a (/ c (* b b)))) 2))))
1.0ms	b	@	0	(/ 1/2 (/ a (* b (+ (* -2 (* a (/ c (* b b)))) 2))))
1.0ms	a	@	0	(/ 1/2 (/ a (* b (+ (* -2 (* a (/ c (* b b)))) 2))))
1.0ms	c	@	0	(/ 1/2 (/ a (* b (+ (* -2 (* a (/ c (* b b)))) 2))))

rewrite356.0ms (3%)

Memory

31.5MiB live, 499.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 716×	`accelerator-lowering-fma.f32`
4 716×	`accelerator-lowering-fma.f64`
4 518×	`/-lowering-/.f32`
4 518×	`/-lowering-/.f64`
3 554×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	147
1	179	147
2	1700	141
0	8962	133

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 1 009

Calls

Call 1

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

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

simplify566.0ms (4.8%)

Memory

-5.7MiB live, 595.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 118×	`accelerator-lowering-fma.f32`
9 118×	`accelerator-lowering-fma.f64`
8 326×	`-lowering-.f32`
8 326×	`-lowering-.f64`
3 544×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	822	6472
1	2650	6355
0	8320	6129

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

Calls

Call 1

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

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

eval251.0ms (2.1%)

Memory: 8.1MiB live, 306.8MiB allocated
Compiler: Compiled 36 862 to 3 681 computations (90% saved)

prune221.0ms (1.9%)

Memory

24.2MiB live, 387.8MiB allocated

Pruning

37 alts after pruning (30 fresh and 7 done)

	Pruned	Kept	Total
New	1 716	4	1 720
Fresh	2	26	28
Picked	1	4	5
Done	0	3	3
Total	1 719	37	1 756

Accuracy

94.0%

Counts

1 756 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.7%	(fma.f64 (/.f64 #s(literal -1 binary64) a) b (/.f64 c b))
	36.7%	(fma.f64 b (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 c b))) (/.f64 b (-.f64 #s(literal 0 binary64) a)))
	48.4%	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (+.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)))
	36.7%	(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)
	24.5%	(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)
	36.2%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
	27.9%	(/.f64 (.f64 (.f64 c (*.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) b)
	43.6%	(/.f64 (.f64 (.f64 a #s(literal 4 binary64)) c) (.f64 (+.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (.f64 a #s(literal -2 binary64))))
	29.5%	(/.f64 (.f64 (.f64 a #s(literal 4 binary64)) c) (.f64 (+.f64 b (sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64)))) (.f64 a #s(literal -2 binary64))))
	25.3%	(/.f64 (.f64 (.f64 a #s(literal 4 binary64)) c) (.f64 a (fma.f64 #s(literal -4 binary64) b (.f64 (*.f64 a (/.f64 c b)) #s(literal 4 binary64)))))
	7.8%	(/.f64 (.f64 c b) (.f64 b b))
✓	8.1%	(/.f64 c b)
✓	2.7%	(/.f64 b a)
✓	36.2%	(/.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)))))))
✓	2.2%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 b (fma.f64 #s(literal -2 binary64) (.f64 a (/.f64 c (*.f64 b b))) #s(literal 2 binary64)))))
	1.7%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 b (fma.f64 #s(literal -2 binary64) (.f64 a (/.f64 c (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 b))))) #s(literal 2 binary64)))))
	36.2%	(/.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))
	31.6%	(/.f64 #s(literal -1 binary64) (/.f64 b c))
✓	36.5%	(/.f64 #s(literal -1 binary64) (/.f64 a b))
	36.6%	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 b a)))
	32.0%	(/.f64 #s(literal -1 binary64) (-.f64 (/.f64 b c) (/.f64 a b)))
✓	36.8%	(-.f64 (/.f64 c b) (/.f64 b a))
	10.9%	(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64)))) a)
	15.5%	(.f64 (/.f64 (-.f64 #s(literal 0 binary64) b) (.f64 a (fma.f64 a a #s(literal 0 binary64)))) (fma.f64 a a #s(literal 0 binary64)))
	20.5%	(*.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64)))) a)
	43.6%	(.f64 (/.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 a #s(literal -2 binary64)))) (.f64 a (.f64 c #s(literal 4 binary64))))
	8.1%	(*.f64 (/.f64 #s(literal 1 binary64) b) c)
	2.7%	(*.f64 (/.f64 #s(literal 1 binary64) a) b)
✓	56.3%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))
	36.1%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (.f64 (*.f64 a c) #s(literal -4 binary64)))))
	36.6%	(*.f64 (/.f64 #s(literal -1 binary64) a) b)
	46.9%	(.f64 c (/.f64 (.f64 a #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)))))
	32.0%	(*.f64 c (neg.f64 (/.f64 #s(literal 1 binary64) b)))
	32.1%	(neg.f64 (/.f64 c b))
	36.7%	(neg.f64 (/.f64 b a))
	4.7%	(exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64)))
	6.0%	(exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64)))

Compiler

Compiled 1 315 to 564 computations (57.1% saved)

regimes80.0ms (0.7%)

Memory

-24.4MiB live, 132.8MiB allocated

Counts

59 → 4

Calls

Call 1

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

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

Calls

4 calls:

20.0ms	b
19.0ms	c
18.0ms	(/.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))
16.0ms	a

Results

Accuracy	Segments	Branch
58.3%	2	`a`
91.1%	4	`b`
56.4%	1	`c`
82.0%	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)

regimes18.0ms (0.2%)

Memory

28.4MiB live, 28.4MiB allocated

Counts

48 → 4

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)
(/.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 c (/.f64 (.f64 a #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)))))
(neg.f64 (/.f64 c b))

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
90.9%	4	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes32.0ms (0.3%)

Memory

-18.7MiB live, 19.9MiB allocated

Counts

44 → 3

Calls

Call 1

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

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

Calls

1 calls:

29.0ms

Results

Accuracy	Segments	Branch
88.3%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes13.0ms (0.1%)

Memory

14.4MiB live, 14.4MiB allocated

Counts

35 → 3

Calls

Call 1

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

Outputs

(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) a)

(*.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))))))

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
88.2%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

34 → 3

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
88.2%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes21.0ms (0.2%)

Memory

-24.1MiB live, 14.5MiB allocated

Counts

33 → 3

Calls

Call 1

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

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

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
86.1%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated

Counts

32 → 3

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (*.f64 a (/.f64 c b)) b) 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:

9.0ms

Results

Accuracy	Segments	Branch
86.0%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Memory

-27.7MiB live, 13.6MiB allocated

Counts

30 → 2

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
66.6%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0%)

Memory

6.0MiB live, 6.0MiB allocated

Counts

15 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
66.2%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	c
2.0ms	a
2.0ms	b

Results

Accuracy	Segments	Branch
36.7%	1	`c`
36.7%	1	`a`
42.0%	2	`b`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 b a)
(/.f64 c b)

Outputs
(/.f64 c b)

Calls

3 calls:

2.0ms	b
2.0ms	a
2.0ms	c

Results

Accuracy	Segments	Branch
8.1%	1	`a`
8.1%	1	`c`
8.1%	1	`b`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Memory

8.6MiB live, 8.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 b a)

Outputs
(/.f64 b a)

Calls

3 calls:

1.0ms	a
1.0ms	b
1.0ms	c

Results

Accuracy	Segments	Branch
2.7%	1	`b`
2.7%	1	`c`
2.7%	1	`a`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch57.0ms (0.5%)

Memory

3.5MiB live, 80.2MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
23.0ms	3.472855110030604e+25	3.9343250140099855e+27
21.0ms	4.296710224146223e-161	5.759389612242263e-157
6.0ms	-4.8953266783212426e+159	-8.320140632658427e+152

Samples

15.0ms	202×	0	valid
7.0ms	34×	2	valid
7.0ms	49×	1	valid
5.0ms	69×	0	invalid
2.0ms	2×	3	valid
1.0ms	3×	5	exit
0.0ms	1×	4	valid

Compiler

Compiled 739 to 521 computations (29.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 11.0ms (41.6% of total)

ival-sqrt: 4.0ms (15.1% of total)

ival-div: 3.0ms (11.3% of total)

ival-neg: 2.0ms (7.6% of total)

ival-sub: 2.0ms (7.6% of total)

ival-add: 2.0ms (7.6% of total)

adjust: 1.0ms (3.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch76.0ms (0.7%)

Memory

-59.5MiB live, 91.8MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
42.0ms	6.18246493028725e+46	1.746484414481414e+52
15.0ms	2.9729045211632108e-127	3.786402408841803e-126
7.0ms	-4.8953266783212426e+159	-8.320140632658427e+152

Samples

13.0ms	171×	0	valid
13.0ms	81×	1	valid
9.0ms	46×	2	valid
3.0ms	38×	0	invalid
1.0ms	3×	4	valid
1.0ms	3×	3	valid

Compiler

Compiled 747 to 526 computations (29.6% saved)

Precisions

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

ival-mult: 9.0ms (31.9% of total)

ival-sqrt: 4.0ms (14.2% of total)

ival-add: 4.0ms (14.2% of total)

ival-div: 3.0ms (10.6% of total)

adjust: 2.0ms (7.1% of total)

ival-neg: 2.0ms (7.1% of total)

ival-sub: 2.0ms (7.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch40.0ms (0.3%)

Memory

17.3MiB live, 55.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
28.0ms	3.686300267963209e-10	0.28337596787540276
7.0ms	-4.8953266783212426e+159	-8.320140632658427e+152

Samples

9.0ms	122×	0	valid
7.0ms	37×	2	valid
6.0ms	45×	1	valid
2.0ms	30×	0	invalid
1.0ms	2×	4	valid
0.0ms	2×	3	valid

Compiler

Compiled 420 to 301 computations (28.3% saved)

Precisions

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

ival-mult: 6.0ms (33.3% of total)

ival-sqrt: 3.0ms (16.7% of total)

ival-div: 2.0ms (11.1% of total)

ival-sub: 2.0ms (11.1% of total)

ival-neg: 2.0ms (11.1% of total)

ival-add: 2.0ms (11.1% of total)

adjust: 1.0ms (5.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch47.0ms (0.4%)

Memory

-19.8MiB live, 60.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	3.686300267963209e-10	0.28337596787540276
14.0ms	-2.294052350851446e+142	-2.5754165511779725e+140

Samples

15.0ms	177×	0	valid
7.0ms	36×	2	valid
5.0ms	39×	1	valid
2.0ms	27×	0	invalid
1.0ms	3×	4	valid
0.0ms	1×	3	valid

Compiler

Compiled 506 to 354 computations (30% saved)

Precisions

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

ival-mult: 7.0ms (32.9% of total)

ival-sqrt: 4.0ms (18.8% of total)

ival-div: 3.0ms (14.1% of total)

ival-neg: 2.0ms (9.4% of total)

ival-sub: 2.0ms (9.4% of total)

ival-add: 2.0ms (9.4% of total)

adjust: 1.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch53.0ms (0.5%)

Memory

4.2MiB live, 78.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	3.686300267963209e-10	0.28337596787540276
12.0ms	-2.294052350851446e+142	-2.5754165511779725e+140

Samples

19.0ms	185×	0	valid
6.0ms	29×	2	valid
5.0ms	41×	1	valid
2.0ms	28×	0	invalid
0.0ms	1×	3	valid

Compiler

Compiled 490 to 338 computations (31% saved)

Precisions

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

ival-mult: 7.0ms (37.5% of total)

ival-sqrt: 3.0ms (16.1% of total)

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

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

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

ival-add: 2.0ms (10.7% 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)

bsearch62.0ms (0.5%)

Memory

5.5MiB live, 83.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	1.8018124081011576e-92	4.696793135685124e-86
18.0ms	-3.74706213298125e-105	-2.757977248060336e-108

Samples

21.0ms	216×	0	valid
7.0ms	90×	0	invalid
6.0ms	42×	1	valid
2.0ms	13×	2	valid
0.0ms	1×	3	valid

Compiler

Compiled 488 to 359 computations (26.4% saved)

Precisions

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

ival-mult: 8.0ms (38.1% of total)

ival-div: 3.0ms (14.3% of total)

ival-sqrt: 3.0ms (14.3% of total)

ival-sub: 2.0ms (9.5% of total)

ival-neg: 2.0ms (9.5% of total)

ival-add: 2.0ms (9.5% of total)

adjust: 1.0ms (4.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch58.0ms (0.5%)

Memory

26.5MiB live, 100.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	1.8018124081011576e-92	4.696793135685124e-86
24.0ms	-3.74706213298125e-105	-2.757977248060336e-108

Samples

21.0ms	208×	0	valid
10.0ms	52×	1	valid
7.0ms	97×	0	invalid
2.0ms	11×	2	valid
0.0ms	1×	3	valid

Compiler

Compiled 471 to 342 computations (27.4% saved)

Precisions

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

ival-mult: 8.0ms (32.1% of total)

ival-add: 5.0ms (20.1% of total)

ival-div: 3.0ms (12.1% of total)

ival-sqrt: 3.0ms (12.1% of total)

ival-sub: 2.0ms (8% of total)

ival-neg: 2.0ms (8% of total)

adjust: 1.0ms (4% of total)

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

exact: 0.0ms (0% of total)

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

bsearch92.0ms (0.8%)

Memory

3.1MiB live, 41.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
88.0ms	-3.681900417661075e-300	1.5377236914329655e-302

Samples

12.0ms	160×	0	valid
7.0ms	86×	0	invalid

Compiler

Compiled 213 to 150 computations (29.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 5.0ms (41.8% of total)

ival-sqrt: 2.0ms (16.7% of total)

ival-div: 1.0ms (8.4% of total)

ival-add: 1.0ms (8.4% of total)

ival-sub: 1.0ms (8.4% of total)

ival-neg: 1.0ms (8.4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch47.0ms (0.4%)

Memory

-24.5MiB live, 63.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
43.0ms	-3.681900417661075e-300	1.5377236914329655e-302

Samples

24.0ms	90×	0	invalid
12.0ms	160×	0	valid

Compiler

Compiled 183 to 140 computations (23.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-sqrt: 16.0ms (54.7% of total)

ival-mult: 8.0ms (27.3% of total)

ival-div: 2.0ms (6.8% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory

4.9MiB live, 5.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
3.0ms	0.28337596787540276	0.30278841930959804

Samples

1.0ms	7×	1	valid
0.0ms	6×	0	valid
0.0ms	2×	2	valid
0.0ms	1×	3	valid
0.0ms	1×	0	invalid

Compiler

Compiled 38 to 31 computations (18.4% saved)

Precisions

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

adjust: 0.0ms (0% of total)

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

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

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

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

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

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

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

exact: 0.0ms (0% of total)

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

simplify16.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB allocated

Algorithm

1×	egg-herbie

Rules

54×	`*-commutative_binary64`
40×	`+-commutative_binary64`
34×	`sub-neg_binary64`
22×	`neg-sub0_binary64`
22×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	108	350
1	153	346
2	186	346
3	209	346
4	218	346
5	219	346

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -40000000000000001477901827522329061639236719319370753807691114208602174637388878388866052438821633309786047014748930669257348013398293616684184769793097728 binary64)) (/.f64 (-.f64 (.f64 a (/.f64 c b)) b) a) (if (<=.f64 b #s(literal 1038787686187039/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136 binary64)) (/.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)) (if (<=.f64 b #s(literal 360000000000000024024973312 binary64)) (/.f64 (/.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (+.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))) (neg.f64 (/.f64 c b)))))
(if (<=.f64 b #s(literal -5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) (/.f64 (-.f64 (.f64 a (/.f64 c b)) b) a) (if (<=.f64 b #s(literal 7316598164803107/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) (/.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)) (if (<=.f64 b #s(literal 6999999999999999952546640720531395835231959093608448 binary64)) (.f64 c (/.f64 (.f64 a #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))))) (neg.f64 (/.f64 c b)))))
(if (<=.f64 b #s(literal -5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) (/.f64 (-.f64 (.f64 a (/.f64 c b)) b) a) (if (<=.f64 b #s(literal 1450710983537555/302231454903657293676544 binary64)) (/.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)) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -849999999999999955199171548896841282428276797800855560060951286249000834552602316027764082289320260010543930697992737006817894286510354595840 binary64)) (/.f64 (-.f64 (.f64 a (/.f64 c b)) b) a) (if (<=.f64 b #s(literal 3771848557197643/9671406556917033397649408 binary64)) (.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)))))) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -289999999999999989692374058161970594348774403261156196846430404686600053461184660475586644442700574922669043195994960890071701533220583505920 binary64)) (/.f64 (-.f64 (.f64 a (/.f64 c b)) b) a) (if (<=.f64 b #s(literal 6640827866535439/147573952589676412928 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -8908762079399835/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376 binary64)) (/.f64 (-.f64 (.f64 a (/.f64 c b)) b) a) (if (<=.f64 b #s(literal 5823336329662291/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))) (.f64 #s(literal 2 binary64) a)) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -4777162274460781/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (/.f64 (-.f64 (.f64 a (/.f64 c b)) b) a) (if (<=.f64 b #s(literal 7055195937860083/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888 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 -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (neg.f64 (/.f64 c b)))
(if (<=.f64 b #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (neg.f64 (/.f64 b a)) (neg.f64 (/.f64 c b)))
(if (<=.f64 b #s(literal 5404319552844595/18014398509481984 binary64)) (neg.f64 (/.f64 b a)) (/.f64 c b))
(/.f64 c b)
(/.f64 b a)

Outputs
(if (<=.f64 b #s(literal -40000000000000001477901827522329061639236719319370753807691114208602174637388878388866052438821633309786047014748930669257348013398293616684184769793097728 binary64)) (/.f64 (-.f64 (.f64 a (/.f64 c b)) b) a) (if (<=.f64 b #s(literal 1038787686187039/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136 binary64)) (/.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)) (if (<=.f64 b #s(literal 360000000000000024024973312 binary64)) (/.f64 (/.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (+.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))) (neg.f64 (/.f64 c b)))))
(if (<=.f64 b #s(literal -40000000000000001477901827522329061639236719319370753807691114208602174637388878388866052438821633309786047014748930669257348013398293616684184769793097728 binary64)) (/.f64 (-.f64 (.f64 a (/.f64 c b)) b) a) (if (<=.f64 b #s(literal 1038787686187039/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c)))) b) (.f64 a #s(literal 2 binary64))) (if (<=.f64 b #s(literal 360000000000000024024973312 binary64)) (/.f64 (/.f64 (.f64 a (.f64 c #s(literal 4 binary64))) (+.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 #s(literal 0 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal -5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) (/.f64 (-.f64 (.f64 a (/.f64 c b)) b) a) (if (<=.f64 b #s(literal 7316598164803107/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) (/.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)) (if (<=.f64 b #s(literal 6999999999999999952546640720531395835231959093608448 binary64)) (.f64 c (/.f64 (.f64 a #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))))) (neg.f64 (/.f64 c b)))))
(if (<=.f64 b #s(literal -5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) (/.f64 (-.f64 (.f64 a (/.f64 c b)) b) a) (if (<=.f64 b #s(literal 7316598164803107/12194330274671844653834364178879555881830461494785043558043581873536608354764709453594945715091765512343073949692994620685343654997219864477696 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c)))) b) (.f64 a #s(literal 2 binary64))) (if (<=.f64 b #s(literal 6999999999999999952546640720531395835231959093608448 binary64)) (.f64 c (/.f64 (.f64 a #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 #s(literal 0 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal -5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) (/.f64 (-.f64 (.f64 a (/.f64 c b)) b) a) (if (<=.f64 b #s(literal 1450710983537555/302231454903657293676544 binary64)) (/.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)) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) (/.f64 (-.f64 (.f64 a (/.f64 c b)) b) a) (if (<=.f64 b #s(literal 1450710983537555/302231454903657293676544 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c)))) b) (*.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -849999999999999955199171548896841282428276797800855560060951286249000834552602316027764082289320260010543930697992737006817894286510354595840 binary64)) (/.f64 (-.f64 (.f64 a (/.f64 c b)) b) a) (if (<=.f64 b #s(literal 3771848557197643/9671406556917033397649408 binary64)) (.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)))))) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -849999999999999955199171548896841282428276797800855560060951286249000834552602316027764082289320260010543930697992737006817894286510354595840 binary64)) (/.f64 (-.f64 (.f64 a (/.f64 c b)) b) a) (if (<=.f64 b #s(literal 3771848557197643/9671406556917033397649408 binary64)) (.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 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -289999999999999989692374058161970594348774403261156196846430404686600053461184660475586644442700574922669043195994960890071701533220583505920 binary64)) (/.f64 (-.f64 (.f64 a (/.f64 c b)) b) a) (if (<=.f64 b #s(literal 6640827866535439/147573952589676412928 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -289999999999999989692374058161970594348774403261156196846430404686600053461184660475586644442700574922669043195994960890071701533220583505920 binary64)) (/.f64 (-.f64 (.f64 a (/.f64 c b)) b) a) (if (<=.f64 b #s(literal 6640827866535439/147573952589676412928 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -8908762079399835/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376 binary64)) (/.f64 (-.f64 (.f64 a (/.f64 c b)) b) a) (if (<=.f64 b #s(literal 5823336329662291/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))) (.f64 #s(literal 2 binary64) a)) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -8908762079399835/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376 binary64)) (/.f64 (-.f64 (.f64 a (/.f64 c b)) b) a) (if (<=.f64 b #s(literal 5823336329662291/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888 binary64)) (/.f64 (-.f64 (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))) b) (.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -4777162274460781/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (/.f64 (-.f64 (.f64 a (/.f64 c b)) b) a) (if (<=.f64 b #s(literal 7055195937860083/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888 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 -4777162274460781/1291124939043454294827959586001505937164852896414611756415329678270323811008420597314822676640068915717951585986373746688 binary64)) (/.f64 (-.f64 (.f64 a (/.f64 c b)) b) a) (if (<=.f64 b #s(literal 7055195937860083/1119872371088902105278721140284222139060822748617324767449994550481895935590080472690438746635803557888 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64))))) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (neg.f64 (/.f64 c b)))
(if (<=.f64 b #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(if (<=.f64 b #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (neg.f64 (/.f64 b a)) (neg.f64 (/.f64 c b)))
(if (<=.f64 b #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(if (<=.f64 b #s(literal 5404319552844595/18014398509481984 binary64)) (neg.f64 (/.f64 b a)) (/.f64 c b))
(if (<=.f64 b #s(literal 5404319552844595/18014398509481984 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (/.f64 c b))
(/.f64 c b)
(/.f64 b a)

soundness1.3s (11.3%)

Memory

5.9MiB live, 1 078.6MiB allocated

Rules

11 458×	`accelerator-lowering-fma.f32`
11 458×	`accelerator-lowering-fma.f64`
8 528×	`accelerator-lowering-fma.f32`
8 528×	`accelerator-lowering-fma.f64`
7 766×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1068	7122
1	3537	6926
0	8051	6659
0	36	208
1	218	202
2	2026	202
0	8656	190
0	32	138
1	186	135
2	1649	132
0	8988	125
0	14	49
1	68	47
2	525	47
3	6857	47
0	8150	43
0	1683	11661
1	5742	11260
0	8204	10855
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 906 to 470 computations (48.1% saved)

preprocess123.0ms (1.1%)

Memory: 2.8MiB live, 198.4MiB allocated
Compiler: Compiled 976 to 298 computations (69.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze155.0ms (1.3%)

sample1.5s (12.8%)

preprocess167.0ms (1.4%)

explain198.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify103.0ms (0.9%)

localize54.0ms (0.5%)

series22.0ms (0.2%)

rewrite350.0ms (3%)

simplify459.0ms (3.9%)

eval73.0ms (0.6%)

prune118.0ms (1%)

simplify254.0ms (2.2%)

localize295.0ms (2.5%)

series85.0ms (0.7%)

rewrite407.0ms (3.5%)

simplify646.0ms (5.5%)

eval221.0ms (1.9%)

prune198.0ms (1.7%)

simplify460.0ms (3.9%)

localize201.0ms (1.7%)

series31.0ms (0.3%)

rewrite496.0ms (4.2%)

simplify504.0ms (4.3%)

eval422.0ms (3.6%)

prune192.0ms (1.6%)

simplify287.0ms (2.4%)

localize169.0ms (1.4%)

series37.0ms (0.3%)

rewrite356.0ms (3%)

simplify566.0ms (4.8%)

eval251.0ms (2.1%)

prune221.0ms (1.9%)

regimes80.0ms (0.7%)

regimes18.0ms (0.2%)

regimes32.0ms (0.3%)

regimes13.0ms (0.1%)

regimes12.0ms (0.1%)

regimes21.0ms (0.2%)

regimes11.0ms (0.1%)

regimes14.0ms (0.1%)

regimes6.0ms (0%)

regimes6.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

bsearch57.0ms (0.5%)

bsearch76.0ms (0.7%)

bsearch40.0ms (0.3%)

bsearch47.0ms (0.4%)

bsearch53.0ms (0.5%)

bsearch62.0ms (0.5%)

bsearch58.0ms (0.5%)

bsearch92.0ms (0.8%)

bsearch47.0ms (0.4%)

bsearch3.0ms (0%)

simplify16.0ms (0.1%)

soundness1.3s (11.3%)

preprocess123.0ms (1.1%)

end0.0ms (0%)

Profiling