Metrics for Quadratic roots, full range

analyze140.0ms (1.3%)

Memory

9.5MiB live, 318.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 19 to 16 computations (15.8% saved)

sample2.1s (18.8%)

Memory

-21.8MiB live, 2 896.3MiB allocated

Samples

705.0ms	5 610×	0	valid
296.0ms	1 109×	2	valid
233.0ms	1 314×	1	valid
202.0ms	941×	0	invalid
106.0ms	168×	3	valid
17.0ms	55×	4	valid
5.0ms	14×	5	exit

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-mult: 452.0ms (41.7% of total)

ival-sqrt: 158.0ms (14.6% of total)

ival-div: 133.0ms (12.3% of total)

ival-add: 104.0ms (9.6% of total)

ival-neg: 85.0ms (7.8% of total)

ival-sub: 72.0ms (6.6% of total)

adjust: 61.0ms (5.6% of total)

exact: 10.0ms (0.9% of total)

ival-true: 7.0ms (0.6% of total)

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

Bogosity

preprocess153.0ms (1.4%)

Memory

9.5MiB live, 209.9MiB allocated

Algorithm

2×	egg-herbie

Rules

1 674×	`div-sub`
1 120×	`accelerator-lowering-fma.f32`
1 120×	`accelerator-lowering-fma.f64`
1 048×	`sub-neg`
796×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	175
1	170	160
2	474	160
3	1250	160
4	3323	160
5	6278	160
0	14	17
1	31	16
2	68	16
3	151	16
4	231	16
5	372	16
6	654	16
7	1122	16
8	2225	16
9	2509	16
10	2626	16
11	2681	16
12	2682	16
13	2682	16
14	2688	16
0	2688	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))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))) b) (*.f64 a #s(literal 2 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) (* c (* a -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) (* c (* a -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) (* c (* a -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) (* c (* a -4)))) b) (* c 2))
(/ (+ (neg c) (sqrt (- (* c c) (* (* 4 a) b)))) (* 2 a))
(/ (- (sqrt (+ (* c c) (* (* b a) -4))) c) (* a 2))

explain251.0ms (2.3%)

Memory

-0.2MiB live, 475.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
93	-	0	-	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`
67	-	0	-	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`
14	-	2	(1.808852427230031e-111 5.4885453629446835e+56 1.4041435405793868e-147)	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
1	-	0	-	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`
0	-	0	-	`a`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`(.f64 (.f64 #s(literal 4 binary64) a) c)`
0	-	0	-	`(*.f64 b b)`
0	-	0	-	`(*.f64 #s(literal 2 binary64) a)`
0	-	0	-	`c`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(neg.f64 b)`
0	-	0	-	`(*.f64 #s(literal 4 binary64) a)`
0	-	0	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`	oflow-rescue	88	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	overflow	88
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	overflow	21
↳	`(*.f64 b b)`	overflow	76
`+.f64`	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`	cancellation	67	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`	u/n	12	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	underflow	5
↳	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`	underflow	22
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	underflow	25
↳	`(*.f64 b b)`	underflow	46
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`	uflow-rescue	5	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	underflow	5
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	underflow	25
↳	`(*.f64 b b)`	underflow	46
`-.f64`	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	nan-rescue	1	0
↳	`(*.f64 b b)`	overflow	76
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	overflow	21

Confusion

	Predicted +	Predicted -
+	126	0
-	19	111

Precision

0.8689655172413793

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	126	0	0
-	19	0	111

Precision?

0.8689655172413793

Recall?

1.0

Freqs

test

number	freq
0	111
1	118
2	26
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

37.0ms	336×	0	valid
18.0ms	68×	2	valid
16.0ms	90×	1	valid
4.0ms	12×	3	valid
2.0ms	6×	4	valid

Compiler

Compiled 184 to 60 computations (67.4% saved)

Precisions

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

ival-mult: 15.0ms (33.7% of total)

ival-sqrt: 7.0ms (15.7% of total)

ival-div: 6.0ms (13.5% of total)

ival-sub: 4.0ms (9% of total)

adjust: 4.0ms (9% of total)

ival-neg: 4.0ms (9% of total)

ival-add: 4.0ms (9% of total)

exact: 1.0ms (2.2% of total)

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

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

eval0.0ms (0%)

Memory: 0.8MiB live, 0.7MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.2%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Compiler

Compiled 20 to 14 computations (30% saved)

simplify96.0ms (0.9%)

Memory

28.6MiB live, 150.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	70
1	31	68
2	68	68
3	151	68
4	231	68
5	372	68
6	654	68
7	1122	68
8	2225	68
9	2509	68
10	2626	68
11	2681	68
12	2682	68
13	2682	68
14	2688	68
0	2688	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)
4
a
c
(* 2 a)
2

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

localize56.0ms (0.5%)

Memory

-2.0MiB live, 196.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
✓	accuracy	95.7%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
✓	accuracy	76.1%	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
✓	accuracy	66.0%	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))

Samples

16.0ms	168×	0	valid
11.0ms	34×	2	valid
9.0ms	45×	1	valid
2.0ms	6×	3	valid
1.0ms	3×	4	valid

Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 7.0ms (29.7% of total)

ival-sub: 3.0ms (12.7% of total)

ival-div: 3.0ms (12.7% of total)

ival-neg: 3.0ms (12.7% of total)

ival-sqrt: 3.0ms (12.7% of total)

adjust: 2.0ms (8.5% of total)

ival-add: 2.0ms (8.5% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory

-12.9MiB live, 67.3MiB allocated

Counts

5 → 156

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 (neg b)>
#<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 (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<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

39 calls:

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

rewrite276.0ms (2.5%)

Memory

-11.8MiB live, 666.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 850×	`accelerator-lowering-fma.f32`
4 850×	`accelerator-lowering-fma.f64`
3 904×	`-lowering-.f32`
3 904×	`-lowering-.f64`
2 332×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	51
1	67	49
2	527	48
3	6858	48
0	8152	44

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 440

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))
(neg b)
(sqrt (- (* b b) (* (* 4 a) c)))

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

simplify411.0ms (3.7%)

Memory

31.6MiB live, 573.8MiB 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	3273
1	1738	3232
2	6083	3204
0	8243	3047

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

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

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

eval84.0ms (0.8%)

Memory: -2.2MiB live, 148.0MiB allocated
Compiler: Compiled 22 355 to 2 082 computations (90.7% saved)

prune113.0ms (1%)

Memory

-21.1MiB live, 238.8MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	576	20	596
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	577	20	597

Accuracy

93.9%

Counts

597 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.5%	(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
	24.1%	(/.f64 (fma.f64 b b (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 a #s(literal -2 binary64))))
	32.4%	(/.f64 (-.f64 (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))) (.f64 #s(literal 2 binary64) a))
	53.2%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a))
	11.0%	(/.f64 (+.f64 (neg.f64 b) (fma.f64 a (.f64 #s(literal -2 binary64) (/.f64 c b)) b)) (.f64 #s(literal 2 binary64) a))
	52.7%	(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))) (*.f64 #s(literal 2 binary64) a))
▶	53.2%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
▶	48.5%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (.f64 b b) c))))) (*.f64 #s(literal 2 binary64) a))
	34.4%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
	10.3%	(/.f64 (+.f64 (neg.f64 b) b) (*.f64 #s(literal 2 binary64) a))
▶	29.9%	(/.f64 (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
	36.7%	(/.f64 c (neg.f64 b))
▶	32.6%	(/.f64 b (neg.f64 a))
	35.4%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
	35.4%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))) a))
	22.8%	(.f64 (fma.f64 b b (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))
	22.8%	(.f64 (fma.f64 b b (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))))
▶	53.1%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
	32.4%	(.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 (neg.f64 a) (.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))
	29.7%	(neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))

Compiler

Compiled 808 to 504 computations (37.6% saved)

simplify194.0ms (1.7%)

Memory

35.4MiB live, 349.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 b)
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (.f64 b b) c))))) (*.f64 #s(literal 2 binary64) a))
✓	cost-diff	128	(+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (.f64 b b) c)))))
✓	cost-diff	704	(.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (.f64 b b) c)))
✓	cost-diff	0	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))
✓	cost-diff	0	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) a)
✓	cost-diff	0	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
✓	cost-diff	0	(*.f64 a #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 a #s(literal -2 binary64)) b)
✓	cost-diff	0	(.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))
✓	cost-diff	1536	(/.f64 (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
✓	cost-diff	0	(neg.f64 a)
✓	cost-diff	0	(/.f64 b (neg.f64 a))
✓	cost-diff	0	(sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))
✓	cost-diff	0	(neg.f64 b)
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
✓	cost-diff	128	(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))))

Rules

4 820×	`-lowering-.f32`
4 820×	`-lowering-.f64`
3 848×	`accelerator-lowering-fma.f32`
3 848×	`accelerator-lowering-fma.f64`
3 100×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	247
1	88	242
2	189	240
3	449	236
4	1017	235
5	3040	235
6	5787	235
0	8820	222

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize178.0ms (1.6%)

Memory

-4.3MiB live, 201.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	93.6%	(.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (.f64 b b) c)))
✓	accuracy	86.0%	(/.f64 (*.f64 b b) c)
✓	accuracy	76.1%	(+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (.f64 b b) c)))))
✓	accuracy	66.4%	(sqrt.f64 (.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (.f64 b b) c))))
✓	accuracy	99.6%	(fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))
✓	accuracy	95.7%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
✓	accuracy	76.1%	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
✓	accuracy	66.4%	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))
✓	accuracy	100.0%	(*.f64 a #s(literal -2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) a)
✓	accuracy	90.7%	(.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))
✓	accuracy	88.0%	(/.f64 (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
✓	accuracy	100.0%	(/.f64 b (neg.f64 a))
✓	accuracy	100.0%	(neg.f64 a)
✓	accuracy	100.0%	(neg.f64 b)
✓	accuracy	95.9%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
✓	accuracy	76.1%	(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))))
✓	accuracy	66.4%	(sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))

Samples

46.0ms	168×	0	valid
38.0ms	45×	1	valid
24.0ms	34×	2	valid
5.0ms	6×	3	valid
2.0ms	2×	4	valid
1.0ms	1×	5	exit

Compiler

Compiled 243 to 37 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-add: 25.0ms (29.5% of total)

ival-mult: 25.0ms (29.5% of total)

ival-div: 15.0ms (17.7% of total)

ival-sqrt: 9.0ms (10.6% of total)

adjust: 6.0ms (7.1% of total)

ival-neg: 3.0ms (3.5% of total)

ival-sub: 2.0ms (2.4% of total)

exact: 1.0ms (1.2% of total)

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

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

series55.0ms (0.5%)

Memory

-32.4MiB live, 85.4MiB allocated

Counts

21 → 600

Calls

Call 1

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

Calls

150 calls:

Time	Variable		Point	Expression
5.0ms	c	@	-inf	(/ (+ (neg b) (sqrt (* c (+ (* a -4) (/ (* b b) c))))) (* 2 a))
4.0ms	a	@	inf	(sqrt (+ (* b b) (* c (* a -4))))
4.0ms	b	@	inf	(+ (neg b) (sqrt (+ (* (* c -4) a) (* b b))))
2.0ms	c	@	0	(/ (* c (/ (* a -2) b)) (* 2 a))
1.0ms	c	@	-inf	(+ (neg b) (sqrt (* c (+ (* a -4) (/ (* b b) c)))))

rewrite335.0ms (3%)

Memory

39.5MiB live, 626.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 316×	`accelerator-lowering-fma.f32`
5 316×	`accelerator-lowering-fma.f64`
4 408×	`/-lowering-/.f32`
4 408×	`/-lowering-/.f64`
4 192×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	185
1	217	181
2	1735	175
0	8987	164

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 1 137

Calls

Call 1

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

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

simplify421.0ms (3.8%)

Memory

6.0MiB live, 714.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 068×	`accelerator-lowering-fma.f32`
10 068×	`accelerator-lowering-fma.f64`
8 554×	`-lowering-.f32`
8 554×	`-lowering-.f64`
3 894×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	753	10445
1	2464	10212
0	8329	9787

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 600

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

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

eval241.0ms (2.2%)

Memory: 30.4MiB live, 365.3MiB allocated
Compiler: Compiled 49 864 to 3 641 computations (92.7% saved)

prune249.0ms (2.2%)

Memory

-52.5MiB live, 379.4MiB allocated

Pruning

36 alts after pruning (34 fresh and 2 done)

	Pruned	Kept	Total
New	1 791	25	1 816
Fresh	6	9	15
Picked	3	2	5
Done	0	0	0
Total	1 800	36	1 836

Accuracy

96.2%

Counts

1 836 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.8%	(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 #s(literal -4 binary64) a))))) (/.f64 #s(literal -1/2 binary64) a)))
	31.5%	(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
	24.1%	(/.f64 (fma.f64 b b (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 a #s(literal -2 binary64))))
	29.9%	(/.f64 (/.f64 (.f64 c (.f64 a #s(literal -2 binary64))) b) (*.f64 #s(literal 2 binary64) a))
	21.7%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) a) (.f64 a b)) (*.f64 a a))
▶	53.2%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a))
	10.4%	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 b a) (/.f64 b a) (*.f64 #s(literal 0 binary64) (/.f64 b a)))))
	35.6%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 b (.f64 b (fma.f64 (.f64 a #s(literal -4 binary64)) (/.f64 c (.f64 b b)) #s(literal 1 binary64)))))) (*.f64 #s(literal 2 binary64) a))
	34.4%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
	32.4%	(/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (.f64 b b) (fma.f64 b b (.f64 c (.f64 #s(literal -4 binary64) a))))) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 #s(literal -4 binary64) a))))))
✓	29.9%	(/.f64 (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
	29.9%	(/.f64 (.f64 c (.f64 (/.f64 #s(literal -2 binary64) b) a)) (*.f64 #s(literal 2 binary64) a))
	28.2%	(/.f64 (.f64 c (.f64 a #s(literal -2 binary64))) (.f64 (.f64 a #s(literal 2 binary64)) b))
	17.3%	(/.f64 (.f64 c (exp.f64 (.f64 (log.f64 (/.f64 b (.f64 a #s(literal -2 binary64)))) #s(literal -1 binary64)))) (.f64 #s(literal 2 binary64) a))
▶	36.7%	(/.f64 c (neg.f64 b))
	20.9%	(/.f64 b (.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) a))))
✓	32.6%	(/.f64 b (neg.f64 a))
	32.5%	(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 b)))
	31.5%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 a (*.f64 c a)) #s(literal -1 binary64)) b))
	35.4%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
	35.4%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))) a))
	22.8%	(.f64 (fma.f64 b b (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))
	31.8%	(.f64 (/.f64 (.f64 c a) (*.f64 a #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) b))
▶	27.4%	(.f64 (/.f64 (.f64 c #s(literal -2 binary64)) (*.f64 a #s(literal 2 binary64))) (/.f64 a b))
	29.9%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 c (/.f64 (*.f64 a #s(literal -2 binary64)) b)))
▶	11.0%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (fma.f64 a (/.f64 (.f64 #s(literal -2 binary64) c) b) b)))
	52.6%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (*.f64 #s(literal -4 binary64) a))))))))
▶	24.6%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c))) (sqrt.f64 c))))
	53.1%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
	48.4%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c))))
	35.5%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (.f64 b (.f64 b (fma.f64 (.f64 a #s(literal -4 binary64)) (/.f64 c (*.f64 b b)) #s(literal 1 binary64)))))))
	34.3%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (.f64 a (*.f64 c #s(literal -4 binary64))))))
	10.3%	(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b b))
	32.5%	(*.f64 (/.f64 #s(literal -1 binary64) a) b)
	29.7%	(neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))
	13.7%	(exp.f64 (*.f64 (log.f64 (/.f64 a (neg.f64 b))) #s(literal -1 binary64)))

Compiler

Compiled 1 207 to 797 computations (34% saved)

simplify253.0ms (2.3%)

Memory

19.9MiB live, 380.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (.f64 b b) c))) (sqrt.f64 c))
✓	cost-diff	0	(-.f64 b (.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (.f64 b b) c))) (sqrt.f64 c)))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) a)
✓	cost-diff	0	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c))) (sqrt.f64 c))))
✓	cost-diff	0	(fma.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b) b)
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) a)
✓	cost-diff	256	(-.f64 b (fma.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b) b))
✓	cost-diff	1536	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (fma.f64 a (/.f64 (.f64 #s(literal -2 binary64) c) b) b)))
✓	cost-diff	0	(*.f64 a #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 c #s(literal -2 binary64))
✓	cost-diff	512	(/.f64 (.f64 c #s(literal -2 binary64)) (.f64 a #s(literal 2 binary64)))
✓	cost-diff	1024	(.f64 (/.f64 (.f64 c #s(literal -2 binary64)) (*.f64 a #s(literal 2 binary64))) (/.f64 a b))
✓	cost-diff	0	(neg.f64 b)
✓	cost-diff	0	(/.f64 c (neg.f64 b))
✓	cost-diff	0	(fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))
✓	cost-diff	0	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))
✓	cost-diff	0	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) b)
✓	cost-diff	0	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a))

Rules

9 042×	`accelerator-lowering-fma.f32`
9 042×	`accelerator-lowering-fma.f64`
3 858×	`-lowering-.f32`
3 858×	`-lowering-.f64`
2 502×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	218
1	95	218
2	246	213
3	717	213
4	2007	213
5	6940	213
0	8107	203

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize199.0ms (1.8%)

Memory

-3.1MiB live, 188.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	97.0%	(.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (.f64 b b) c))) (sqrt.f64 c))
✓	accuracy	93.7%	(/.f64 (*.f64 b b) c)
✓	accuracy	88.6%	(sqrt.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)))
✓	accuracy	86.2%	(-.f64 b (.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (.f64 b b) c))) (sqrt.f64 c)))
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) c)
✓	accuracy	98.5%	(fma.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b) b)
✓	accuracy	95.0%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (fma.f64 a (/.f64 (.f64 #s(literal -2 binary64) c) b) b)))
✓	accuracy	74.6%	(-.f64 b (fma.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b) b))
✓	accuracy	100.0%	(/.f64 a b)
✓	accuracy	100.0%	(*.f64 c #s(literal -2 binary64))
✓	accuracy	100.0%	(*.f64 a #s(literal 2 binary64))
✓	accuracy	87.2%	(.f64 (/.f64 (.f64 c #s(literal -2 binary64)) (*.f64 a #s(literal 2 binary64))) (/.f64 a b))
✓	accuracy	100.0%	(/.f64 c (neg.f64 b))
✓	accuracy	100.0%	(neg.f64 b)
✓	accuracy	99.6%	(fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))
✓	accuracy	98.3%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a))
✓	accuracy	86.2%	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) b)
✓	accuracy	82.9%	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))

Samples

53.0ms	47×	1	valid
36.0ms	40×	0	valid
32.0ms	126×	0	invalid
20.0ms	34×	2	valid
4.0ms	5×	3	valid
3.0ms	3×	4	valid
1.0ms	1×	5	exit

Compiler

Compiled 228 to 39 computations (82.9% saved)

Precisions

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

ival-sqrt: 32.0ms (36.9% of total)

ival-mult: 22.0ms (25.4% of total)

ival-div: 15.0ms (17.3% of total)

adjust: 6.0ms (6.9% of total)

ival-add: 5.0ms (5.8% of total)

ival-sub: 5.0ms (5.8% of total)

exact: 1.0ms (1.2% of total)

ival-neg: 1.0ms (1.2% of total)

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

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

series28.0ms (0.3%)

Memory

0.3MiB live, 44.0MiB allocated

Counts

21 → 588

Calls

Call 1

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

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

Calls

147 calls:

Time	Variable		Point	Expression
6.0ms	a	@	-inf	(sqrt (+ (* -4 a) (/ (* b b) c)))
1.0ms	a	@	inf	(sqrt (+ (* -4 a) (/ (* b b) c)))
1.0ms	b	@	0	(sqrt (+ (* -4 a) (/ (* b b) c)))
1.0ms	c	@	0	(sqrt (+ (* -4 a) (/ (* b b) c)))
1.0ms	c	@	-inf	(* (/ -1/2 a) (- b (* (sqrt (+ (* -4 a) (/ (* b b) c))) (sqrt c))))

rewrite525.0ms (4.7%)

Memory

9.1MiB live, 641.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 928×	`accelerator-lowering-fma.f32`
4 928×	`accelerator-lowering-fma.f64`
4 914×	`-lowering-.f32`
4 914×	`-lowering-.f64`
4 620×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	176
1	222	175
2	1897	174
0	8658	163

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 940

Calls

Call 1

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

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

simplify516.0ms (4.6%)

Memory

18.7MiB live, 800.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12 588×	`accelerator-lowering-fma.f32`
12 588×	`accelerator-lowering-fma.f64`
10 140×	`-lowering-.f32`
10 140×	`-lowering-.f64`
4 922×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	930	8854
1	3044	8651
0	9186	8304

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 588

Calls

Call 1

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

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

eval240.0ms (2.2%)

Memory: 15.0MiB live, 373.2MiB allocated
Compiler: Compiled 39 251 to 4 067 computations (89.6% saved)

prune229.0ms (2.1%)

Memory

-4.3MiB live, 564.0MiB allocated

Pruning

46 alts after pruning (43 fresh and 3 done)

	Pruned	Kept	Total
New	1 533	26	1 559
Fresh	12	17	29
Picked	3	2	5
Done	1	1	2
Total	1 549	46	1 595

Accuracy

96.8%

Counts

1 595 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.8%	(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 #s(literal -4 binary64) a))))) (/.f64 #s(literal -1/2 binary64) a)))
	31.5%	(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
	24.1%	(/.f64 (fma.f64 b b (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 a #s(literal -2 binary64))))
	32.4%	(/.f64 (/.f64 (-.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b)) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))))) (.f64 #s(literal 2 binary64) a))
	27.7%	(/.f64 (/.f64 a b) (*.f64 #s(literal -1 binary64) (/.f64 a c)))
	21.7%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) a) (.f64 a b)) (*.f64 a a))
▶	53.2%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
	35.2%	(/.f64 (-.f64 (sqrt.f64 (.f64 (.f64 b b) (fma.f64 (.f64 a #s(literal -4 binary64)) (/.f64 c (.f64 b b)) #s(literal 1 binary64)))) b) (*.f64 #s(literal 2 binary64) a))
	48.5%	(/.f64 (-.f64 (sqrt.f64 (.f64 c (fma.f64 a #s(literal -4 binary64) (/.f64 (.f64 b b) c)))) b) (*.f64 #s(literal 2 binary64) a))
	34.4%	(/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a))
	10.3%	(/.f64 (-.f64 b b) (*.f64 #s(literal 2 binary64) a))
	35.6%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 b (.f64 b (fma.f64 (.f64 a #s(literal -4 binary64)) (/.f64 c (.f64 b b)) #s(literal 1 binary64)))))) (*.f64 #s(literal 2 binary64) a))
▶	29.9%	(/.f64 (.f64 c (.f64 (/.f64 #s(literal -2 binary64) b) a)) (*.f64 #s(literal 2 binary64) a))
	31.5%	(/.f64 (*.f64 a (neg.f64 (/.f64 c a))) b)
	28.9%	(/.f64 (.f64 a #s(literal 1 binary64)) (.f64 b (*.f64 #s(literal -1 binary64) (/.f64 a c))))
	27.1%	(/.f64 (neg.f64 (/.f64 c a)) (/.f64 b a))
	28.2%	(/.f64 c (/.f64 (*.f64 b (neg.f64 b)) (+.f64 #s(literal 0 binary64) b)))
✓	36.7%	(/.f64 c (neg.f64 b))
	20.9%	(/.f64 b (.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) a))))
✓	32.6%	(/.f64 b (neg.f64 a))
	36.2%	(/.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 c)))
	32.5%	(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 b)))
	35.4%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
	35.4%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))) a))
	8.5%	(-.f64 (/.f64 b (.f64 a #s(literal -2 binary64))) (/.f64 (fma.f64 c (.f64 #s(literal -2 binary64) (/.f64 a b)) b) (*.f64 a #s(literal -2 binary64))))
	22.8%	(.f64 (fma.f64 b b (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))
	31.8%	(.f64 (/.f64 (.f64 c a) (*.f64 a #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) b))
	30.2%	(.f64 (/.f64 (.f64 c a) b) (/.f64 #s(literal -1 binary64) a))
	27.4%	(*.f64 (/.f64 c (neg.f64 a)) (/.f64 a b))
✓	11.0%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (fma.f64 a (/.f64 (.f64 #s(literal -2 binary64) c) b) b)))
	52.6%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 c (*.f64 #s(literal -4 binary64) a))))))))
	26.8%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (.f64 (pow.f64 (pow.f64 (fma.f64 b (/.f64 b c) (*.f64 a #s(literal -4 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 c))))
	5.9%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 #s(literal 16 binary64) (.f64 a a)) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 c c)))) (sqrt.f64 (-.f64 (.f64 a #s(literal -4 binary64)) (/.f64 (.f64 b b) c)))) (sqrt.f64 c))))
	27.0%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (.f64 (sqrt.f64 (fma.f64 b (/.f64 b c) (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 c))))
	34.3%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (.f64 a (*.f64 c #s(literal -4 binary64))))))
	36.5%	(*.f64 (/.f64 #s(literal -1 binary64) b) c)
▶	32.5%	(*.f64 (/.f64 #s(literal -1 binary64) a) b)
	31.4%	(.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))) (neg.f64 b))
	29.9%	(.f64 (.f64 (/.f64 a b) c) (/.f64 #s(literal -1 binary64) a))
▶	27.3%	(.f64 (.f64 (/.f64 #s(literal -1 binary64) a) c) (/.f64 a b))
	14.4%	(.f64 (exp.f64 (.f64 (log.f64 (*.f64 #s(literal -1 binary64) (/.f64 a c))) #s(literal -1 binary64))) (/.f64 a b))
	28.9%	(.f64 a (.f64 (/.f64 #s(literal 1 binary64) b) (neg.f64 (/.f64 c a))))
	32.5%	(.f64 #s(literal -1 binary64) (/.f64 (.f64 (/.f64 c b) a) a))
	28.2%	(.f64 #s(literal -1 binary64) (/.f64 (.f64 c a) (*.f64 a b)))
	29.7%	(neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))
	13.7%	(exp.f64 (*.f64 (log.f64 (/.f64 a (neg.f64 b))) #s(literal -1 binary64)))

Compiler

Compiled 1 463 to 957 computations (34.6% saved)

simplify262.0ms (2.4%)

Memory

-30.0MiB live, 326.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 #s(literal -4 binary64) a)))))
✓	cost-diff	0	(/.f64 b a)
✓	cost-diff	128	(.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 #s(literal -4 binary64) a))))) (/.f64 #s(literal -1/2 binary64) a))
✓	cost-diff	896	(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 #s(literal -4 binary64) a))))) (/.f64 #s(literal -1/2 binary64) a)))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) b)
✓	cost-diff	0	(*.f64 (/.f64 #s(literal -2 binary64) b) a)
✓	cost-diff	0	(.f64 c (.f64 (/.f64 #s(literal -2 binary64) b) a))
✓	cost-diff	1536	(/.f64 (.f64 c (.f64 (/.f64 #s(literal -2 binary64) b) a)) (*.f64 #s(literal 2 binary64) a))
✓	cost-diff	0	(/.f64 a b)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) a)
✓	cost-diff	192	(*.f64 (/.f64 #s(literal -1 binary64) a) c)
✓	cost-diff	1024	(.f64 (.f64 (/.f64 #s(literal -1 binary64) a) c) (/.f64 a b))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) a)
✓	cost-diff	192	(*.f64 (/.f64 #s(literal -1 binary64) a) b)
✓	cost-diff	0	(fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))
✓	cost-diff	0	(sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))
✓	cost-diff	0	(-.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))) b)
✓	cost-diff	0	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))

Rules

4 268×	`-lowering-.f32`
4 268×	`-lowering-.f64`
4 224×	`accelerator-lowering-fma.f32`
4 224×	`accelerator-lowering-fma.f64`
3 548×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	213
1	87	208
2	212	199
3	508	195
4	1613	195
5	2956	195
6	6385	195
0	8303	186

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize148.0ms (1.3%)

Memory

2.8MiB live, 247.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 #s(literal -4 binary64) a))))) (/.f64 #s(literal -1/2 binary64) a))
✓	accuracy	99.6%	(fma.f64 b b (.f64 c (.f64 #s(literal -4 binary64) a)))
✓	accuracy	79.1%	(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 #s(literal -4 binary64) a))))) (/.f64 #s(literal -1/2 binary64) a)))
✓	accuracy	69.3%	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 #s(literal -4 binary64) a))))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) a)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal -2 binary64) b) a)
✓	accuracy	92.4%	(.f64 c (.f64 (/.f64 #s(literal -2 binary64) b) a))
✓	accuracy	89.7%	(/.f64 (.f64 c (.f64 (/.f64 #s(literal -2 binary64) b) a)) (*.f64 #s(literal 2 binary64) a))
✓	accuracy	100.0%	(/.f64 a b)
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) a)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal -1 binary64) a) c)
✓	accuracy	75.8%	(.f64 (.f64 (/.f64 #s(literal -1 binary64) a) c) (/.f64 a b))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) a)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal -1 binary64) a) b)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) a)
✓	accuracy	97.6%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
✓	accuracy	81.9%	(-.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))) b)
✓	accuracy	69.3%	(sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))

Samples

42.0ms	168×	0	valid
20.0ms	22×	5	exit
17.0ms	40×	1	valid
13.0ms	21×	2	valid
6.0ms	4×	3	valid
1.0ms	1×	4	valid

Compiler

Compiled 207 to 37 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 26.0ms (38.4% of total)

ival-div: 19.0ms (28.1% of total)

adjust: 6.0ms (8.9% of total)

ival-sqrt: 6.0ms (8.9% of total)

ival-add: 6.0ms (8.9% of total)

ival-neg: 2.0ms (3% of total)

ival-sub: 2.0ms (3% of total)

exact: 1.0ms (1.5% of total)

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

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

series21.0ms (0.2%)

Memory

28.4MiB live, 28.4MiB allocated

Counts

20 → 588

Calls

Call 1

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

Outputs
#<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 (/ 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 (* -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 (* -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 (* (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 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 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 (* (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 (* 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 (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 (* -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 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c a))>
#<alt (* -1 (/ c a))>
#<alt (* -1 (/ c a))>
#<alt (* -1 (/ c a))>
#<alt (* -1 (/ c a))>
#<alt (* -1 (/ c a))>
#<alt (* -1 (/ c a))>
#<alt (* -1 (/ c a))>
#<alt (* -1 (/ c a))>
#<alt (* -1 (/ c a))>
#<alt (* -1 (/ c a))>
#<alt (* -1 (/ c a))>
#<alt (* -1 (/ c a))>
#<alt (* -1 (/ c a))>
#<alt (* -1 (/ c a))>
#<alt (* -1 (/ c a))>
#<alt (* -1 (/ c a))>
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#<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 (* 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 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 (* -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 (* 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 (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))))>

Calls

147 calls:

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

rewrite388.0ms (3.5%)

Memory

10.9MiB live, 516.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 496×	`/-lowering-/.f32`
4 496×	`/-lowering-/.f64`
4 392×	`accelerator-lowering-fma.f32`
4 392×	`accelerator-lowering-fma.f64`
3 940×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	170
1	180	165
2	1331	159
0	8435	150

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 1 063

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))) (.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 b (.f64 a #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))) b))) #s(literal -1 binary64)))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))) (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))) b) (*.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 a #s(literal -2 binary64))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))) b) (.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))) (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b)))) (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b)))) (.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (.f64 b (.f64 b b)) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b)))) (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b)))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))))) (.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))))) (*.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))) (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))) (.f64 (.f64 a #s(literal 2 binary64)) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b)))) (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))))) (/.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a #s(literal 2 binary64)) (fma.f64 b (+.f64 b (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b)))) (fma.f64 c (.f64 #s(literal -4 binary64) a) (*.f64 b b))))))
(-.f64 (/.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b)) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b)))))) (/.f64 (.f64 b b) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (*.f64 b b)))))))
(-.f64 (/.f64 (.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))) (.f64 a #s(literal 2 binary64))) (.f64 (.f64 a #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 a #s(literal 2 binary64)) b) (.f64 (.f64 a #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64)))))
(-.f64 (/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))) (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))) (/.f64 #s(literal -1/8 binary64) (.f64 a (.f64 a a))))) (fma.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b)) (/.f64 (/.f64 #s(literal -1/2 binary64) a) (.f64 a #s(literal -2 binary64))) (fma.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))) (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64))))))) (/.f64 (/.f64 (/.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a))) #s(literal 8 binary64)) (fma.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b)) (/.f64 (/.f64 #s(literal -1/2 binary64) a) (.f64 a #s(literal -2 binary64))) (fma.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))) (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64))))))))
(-.f64 (/.f64 (.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b)) (/.f64 (/.f64 #s(literal -1/2 binary64) a) (.f64 a #s(literal -2 binary64)))) (fma.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) (/.f64 b (.f64 a #s(literal 2 binary64))))) (/.f64 (.f64 (/.f64 b (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) (/.f64 b (*.f64 a #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))) (.f64 a #s(literal -2 binary64))) (neg.f64 (/.f64 b (.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))) #s(literal -2 binary64)) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b)))) #s(literal 2 binary64)) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))))) (neg.f64 (/.f64 b (.f64 a #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))) (neg.f64 a)) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b)))) a) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b)))) (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b)))) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))) a) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))) (.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 b (.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))) #s(literal 1/2 binary64)) (neg.f64 (/.f64 b (.f64 a #s(literal 2 binary64)))))
(fma.f64 (neg.f64 (.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 b (.f64 a #s(literal 2 binary64)))))
(fma.f64 (.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) a) (neg.f64 (/.f64 b (.f64 a #s(literal 2 binary64)))))
(fma.f64 (.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 b (.f64 a #s(literal 2 binary64)))))
(fma.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))) (neg.f64 (/.f64 b (.f64 a #s(literal 2 binary64)))))
(fma.f64 (.f64 (neg.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b)))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) a) (neg.f64 (/.f64 b (.f64 a #s(literal 2 binary64)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))))) (/.f64 #s(literal -1 binary64) a) (neg.f64 (/.f64 b (.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))) a) #s(literal 1/2 binary64) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b)) #s(literal 1/4 binary64)) a) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) a) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))) (neg.f64 a)) #s(literal -1/2 binary64) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 (neg.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 (neg.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b)))) a) #s(literal -1/2 binary64) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 (neg.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b)))) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) a) (neg.f64 (/.f64 b (*.f64 a #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))) b) (*.f64 a #s(literal -2 binary64))))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))) b) (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 a #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (*.f64 b b))) b))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 c (.f64 c c)) #s(literal -64 binary64)) (.f64 a (.f64 a a)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))))) (neg.f64 (neg.f64 (fma.f64 c (.f64 (.f64 #s(literal -4 binary64) a) (.f64 c (.f64 #s(literal -4 binary64) a))) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 c (*.f64 #s(literal -4 binary64) a))))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b)) (-.f64 (.f64 b b) (.f64 c (.f64 #s(literal -4 binary64) a)))))) (neg.f64 (neg.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 #s(literal -4 binary64) a))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b)) (-.f64 (.f64 c (.f64 #s(literal -4 binary64) a)) (.f64 b b))))) (neg.f64 (neg.f64 (-.f64 (.f64 c (.f64 #s(literal -4 binary64) a)) (*.f64 b b)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 (.f64 b b) (.f64 c (.f64 #s(literal -4 binary64) a)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 c #s(literal -4 binary64)) (.f64 a (.f64 c (.f64 #s(literal -4 binary64) a)))) (-.f64 (.f64 b b) (.f64 c (.f64 #s(literal -4 binary64) a)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 (.f64 b b) (.f64 c (.f64 #s(literal -4 binary64) a)))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 (.f64 b b) (.f64 c (.f64 #s(literal -4 binary64) a)))) (fma.f64 (/.f64 (.f64 (.f64 c #s(literal -4 binary64)) (.f64 a (.f64 c (.f64 #s(literal -4 binary64) a)))) (-.f64 (.f64 b b) (.f64 c (.f64 #s(literal -4 binary64) a)))) (/.f64 (.f64 (.f64 c #s(literal -4 binary64)) (.f64 a (.f64 c (.f64 #s(literal -4 binary64) a)))) (-.f64 (.f64 b b) (.f64 c (.f64 #s(literal -4 binary64) a)))) (.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 (.f64 b b) (.f64 c (.f64 #s(literal -4 binary64) a)))) (/.f64 (.f64 (.f64 c #s(literal -4 binary64)) (.f64 a (.f64 c (.f64 #s(literal -4 binary64) a)))) (-.f64 (.f64 b b) (.f64 c (*.f64 #s(literal -4 binary64) a))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 c #s(literal -4 binary64)) (.f64 a (.f64 c (.f64 #s(literal -4 binary64) a)))) (-.f64 (.f64 c (.f64 #s(literal -4 binary64) a)) (.f64 b b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 (.f64 c (.f64 #s(literal -4 binary64) a)) (.f64 b b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 c #s(literal -4 binary64)) (.f64 a (.f64 c (.f64 #s(literal -4 binary64) a)))) (-.f64 (.f64 c (.f64 #s(literal -4 binary64) a)) (.f64 b b))) (/.f64 (.f64 (.f64 c #s(literal -4 binary64)) (.f64 a (.f64 c (.f64 #s(literal -4 binary64) a)))) (-.f64 (.f64 c (.f64 #s(literal -4 binary64) a)) (.f64 b b))) (fma.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 (.f64 c (.f64 #s(literal -4 binary64) a)) (.f64 b b))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 (.f64 c (.f64 #s(literal -4 binary64) a)) (.f64 b b))) (.f64 (/.f64 (.f64 (.f64 c #s(literal -4 binary64)) (.f64 a (.f64 c (.f64 #s(literal -4 binary64) a)))) (-.f64 (.f64 c (.f64 #s(literal -4 binary64) a)) (.f64 b b))) (/.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 (.f64 c (.f64 #s(literal -4 binary64) a)) (*.f64 b b)))))))
(pow.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))) #s(literal 2 binary64))
(pow.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b)) #s(literal 1 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b)))) #s(literal 2 binary64))
(pow.f64 (.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b)) (fma.f64 c (.f64 #s(literal -4 binary64) a) (*.f64 b b))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))) #s(literal -1 binary64))
(.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))) (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (*.f64 b b))))
(.f64 (neg.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b)))) (neg.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (*.f64 b b)))))
(.f64 #s(literal 1 binary64) (fma.f64 c (.f64 #s(literal -4 binary64) a) (*.f64 b b)))
(.f64 (fma.f64 (.f64 (.f64 c (.f64 c c)) #s(literal -64 binary64)) (.f64 a (.f64 a a)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 c (.f64 #s(literal -4 binary64) a)) (-.f64 (.f64 c (.f64 #s(literal -4 binary64) a)) (.f64 b b)) (.f64 b (.f64 b (*.f64 b b))))))
(.f64 (fma.f64 (.f64 (.f64 c (.f64 c c)) #s(literal -64 binary64)) (.f64 a (.f64 a a)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 (.f64 #s(literal -4 binary64) a) (.f64 c (.f64 #s(literal -4 binary64) a))) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 c (.f64 #s(literal -4 binary64) a)))))))
(.f64 (.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b)) (-.f64 (.f64 b b) (.f64 c (.f64 #s(literal -4 binary64) a)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 c (.f64 #s(literal -4 binary64) a)))))
(.f64 (.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b)) (-.f64 (.f64 c (.f64 #s(literal -4 binary64) a)) (.f64 b b))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 c (.f64 #s(literal -4 binary64) a)) (.f64 b b))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 c (.f64 c c)) #s(literal -64 binary64)) (.f64 a (.f64 a a)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 c (.f64 #s(literal -4 binary64) a)) (-.f64 (.f64 c (.f64 #s(literal -4 binary64) a)) (.f64 b b)) (.f64 b (.f64 b (*.f64 b b)))))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 c (.f64 c c)) #s(literal -64 binary64)) (.f64 a (.f64 a a)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 c (.f64 (.f64 #s(literal -4 binary64) a) (.f64 c (.f64 #s(literal -4 binary64) a))) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 c (.f64 #s(literal -4 binary64) a))))))))
(.f64 (neg.f64 (.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b)) (-.f64 (.f64 b b) (.f64 c (.f64 #s(literal -4 binary64) a))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 b b) (.f64 c (.f64 #s(literal -4 binary64) a))))))
(.f64 (neg.f64 (.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b)) (-.f64 (.f64 c (.f64 #s(literal -4 binary64) a)) (.f64 b b)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 c (.f64 #s(literal -4 binary64) a)) (.f64 b b)))))
(.f64 (pow.f64 (fma.f64 (.f64 (.f64 c (.f64 c c)) #s(literal -64 binary64)) (.f64 a (.f64 a a)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 c (.f64 #s(literal -4 binary64) a)) (-.f64 (.f64 c (.f64 #s(literal -4 binary64) a)) (.f64 b b)) (.f64 b (.f64 b (*.f64 b b))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 (.f64 c (.f64 c c)) #s(literal -64 binary64)) (.f64 a (.f64 a a)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 (.f64 #s(literal -4 binary64) a) (.f64 c (.f64 #s(literal -4 binary64) a))) (.f64 (.f64 b b) (-.f64 (.f64 b b) (.f64 c (.f64 #s(literal -4 binary64) a)))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b)) (-.f64 (.f64 b b) (.f64 c (.f64 #s(literal -4 binary64) a)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 c (.f64 #s(literal -4 binary64) a)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b)) (-.f64 (.f64 c (.f64 #s(literal -4 binary64) a)) (.f64 b b))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 c (.f64 #s(literal -4 binary64) a)) (.f64 b b))) #s(literal 1 binary64)))

simplify531.0ms (4.8%)

Memory

-17.3MiB live, 823.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12 088×	`accelerator-lowering-fma.f32`
12 088×	`accelerator-lowering-fma.f64`
8 266×	`-lowering-.f32`
8 266×	`-lowering-.f64`
4 226×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	726	8841
1	2369	8696
0	8219	8369

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 588

Calls

Call 1

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

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

eval259.0ms (2.3%)

Memory: 28.3MiB live, 503.1MiB allocated
Compiler: Compiled 40 892 to 3 885 computations (90.5% saved)

prune380.0ms (3.4%)

Memory

10.4MiB live, 595.2MiB allocated

Pruning

48 alts after pruning (41 fresh and 7 done)

	Pruned	Kept	Total
New	1 674	19	1 693
Fresh	16	22	38
Picked	1	4	5
Done	0	3	3
Total	1 691	48	1 739

Accuracy

96.8%

Counts

1 739 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.8%	(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)))
	31.5%	(fma.f64 b (/.f64 c (*.f64 b b)) (/.f64 b (neg.f64 a)))
	30.5%	(/.f64 (fma.f64 (.f64 (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))) #s(literal 1/2 binary64)) a (.f64 a (.f64 b #s(literal -1/2 binary64)))) (.f64 a a))
	24.1%	(/.f64 (fma.f64 b b (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 a #s(literal -2 binary64))))
	32.4%	(/.f64 (/.f64 (-.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b)) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))))) (.f64 #s(literal 2 binary64) a))
	31.9%	(/.f64 (/.f64 (*.f64 (neg.f64 c) a) a) b)
	30.2%	(/.f64 (/.f64 (*.f64 c a) b) (neg.f64 a))
	27.7%	(/.f64 (/.f64 a b) (/.f64 a (neg.f64 c)))
	36.5%	(/.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 #s(literal 2 binary64) c))
	52.5%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))))) b) (*.f64 #s(literal 2 binary64) a))
	21.7%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) a) (.f64 a b)) (*.f64 a a))
✓	53.2%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))) b) (*.f64 #s(literal 2 binary64) a))
	48.6%	(/.f64 (-.f64 (sqrt.f64 (.f64 c (fma.f64 b (/.f64 b c) (.f64 a #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a))
	34.4%	(/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a))
	29.9%	(/.f64 (*.f64 (/.f64 a b) (neg.f64 c)) a)
	28.2%	(/.f64 (.f64 (neg.f64 c) a) (.f64 a b))
✓	29.9%	(/.f64 (.f64 c (.f64 (/.f64 #s(literal -2 binary64) b) a)) (*.f64 #s(literal 2 binary64) a))
	31.5%	(/.f64 (*.f64 a (neg.f64 (/.f64 c a))) b)
	28.9%	(/.f64 (.f64 a #s(literal 1 binary64)) (.f64 b (*.f64 #s(literal -1 binary64) (/.f64 a c))))
	29.7%	(/.f64 (neg.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c)) b)
	28.2%	(/.f64 c (/.f64 (*.f64 b (neg.f64 b)) (+.f64 #s(literal 0 binary64) b)))
✓	36.7%	(/.f64 c (neg.f64 b))
	20.9%	(/.f64 b (.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) a))))
✓	32.6%	(/.f64 b (neg.f64 a))
	36.2%	(/.f64 #s(literal 1 binary64) (/.f64 b (neg.f64 c)))
	36.2%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 2 binary64) c)))
	35.4%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))
	35.4%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))) a))
	32.5%	(/.f64 #s(literal -1 binary64) (/.f64 a b))
	8.5%	(-.f64 (/.f64 b (.f64 a #s(literal -2 binary64))) (/.f64 (fma.f64 c (.f64 #s(literal -2 binary64) (/.f64 a b)) b) (*.f64 a #s(literal -2 binary64))))
	22.8%	(.f64 (fma.f64 b b (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))
	28.9%	(*.f64 (/.f64 (/.f64 c (neg.f64 a)) b) a)
	31.8%	(.f64 (/.f64 (.f64 (neg.f64 c) a) a) (/.f64 #s(literal 1 binary64) b))
	27.4%	(*.f64 (/.f64 (neg.f64 c) a) (/.f64 a b))
✓	11.0%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (fma.f64 a (/.f64 (.f64 #s(literal -2 binary64) c) b) b)))
	26.8%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (.f64 (pow.f64 (pow.f64 (fma.f64 b (/.f64 b c) (*.f64 a #s(literal -4 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 c))))
	5.9%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 #s(literal 16 binary64) (.f64 a a)) (/.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 c c)))) (sqrt.f64 (-.f64 (.f64 a #s(literal -4 binary64)) (/.f64 (.f64 b b) c)))) (sqrt.f64 c))))
	27.0%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (.f64 (sqrt.f64 (fma.f64 b (/.f64 b c) (*.f64 a #s(literal -4 binary64)))) (sqrt.f64 c))))
	34.3%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (.f64 a (*.f64 c #s(literal -4 binary64))))))
	36.5%	(*.f64 (/.f64 #s(literal -1 binary64) b) c)
✓	32.5%	(*.f64 (/.f64 #s(literal -1 binary64) a) b)
	31.4%	(.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))) (neg.f64 b))
	29.9%	(.f64 (.f64 (/.f64 a b) c) (/.f64 #s(literal -1 binary64) a))
✓	27.3%	(.f64 (.f64 (/.f64 #s(literal -1 binary64) a) c) (/.f64 a b))
	14.4%	(.f64 (exp.f64 (.f64 (log.f64 (*.f64 #s(literal -1 binary64) (/.f64 a c))) #s(literal -1 binary64))) (/.f64 a b))
	16.9%	(.f64 (exp.f64 (.f64 (log.f64 (neg.f64 a)) #s(literal -1 binary64))) b)
	13.7%	(exp.f64 (*.f64 (log.f64 (/.f64 a (neg.f64 b))) #s(literal -1 binary64)))
	10.3%	#s(literal 0 binary64)

Compiler

Compiled 2 007 to 824 computations (58.9% saved)

regimes116.0ms (1%)

Memory

-11.5MiB live, 246.1MiB allocated

Counts

91 → 3

Calls

Call 1

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

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

Calls

4 calls:

31.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
29.0ms	b
26.0ms	c
26.0ms	a

Results

Accuracy	Segments	Branch
56.9%	3	`a`
89.2%	3	`b`
60.0%	3	`c`
80.0%	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes21.0ms (0.2%)

Memory

-28.1MiB live, 48.4MiB allocated

Counts

54 → 3

Calls

Call 1

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
89.1%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes17.0ms (0.2%)

Memory

26.8MiB live, 26.8MiB allocated

Counts

52 → 3

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
84.2%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes18.0ms (0.2%)

Memory

-31.7MiB live, 47.7MiB allocated

Counts

46 → 3

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
84.1%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes28.0ms (0.2%)

Memory

13.3MiB live, 51.9MiB allocated

Counts

45 → 2

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	b
12.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
52.2%	3	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
66.6%	2	`b`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
32.6%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
32.6%	1	`a`
32.6%	1	`c`
40.0%	2	`b`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes6.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
10.3%	1	`a`
10.3%	1	`c`
10.3%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
10.3%	1	`b`

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch129.0ms (1.2%)

Memory

-30.1MiB live, 50.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	3.415651182452019e-122	1.0434910881928905e-109
96.0ms	-1.2875682441408136e+163	-2.3630813348305227e+154

Samples

102.0ms	266×	0	valid
3.0ms	25×	1	valid
3.0ms	40×	0	invalid
2.0ms	10×	2	valid
1.0ms	3×	3	valid

Compiler

Compiled 536 to 381 computations (28.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-div: 83.0ms (81.3% of total)

ival-mult: 8.0ms (7.8% of total)

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

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

ival-sub: 2.0ms (2% of total)

ival-add: 2.0ms (2% of total)

adjust: 1.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch63.0ms (0.6%)

Memory

-0.5MiB live, 75.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	3.415651182452019e-122	1.0434910881928905e-109
9.0ms	-2.53929363555094e+118	-1.1430763487840272e+118

Samples

16.0ms	195×	0	valid
5.0ms	58×	0	invalid
4.0ms	11×	2	valid
4.0ms	28×	1	valid
2.0ms	6×	3	valid

Compiler

Compiled 428 to 305 computations (28.7% saved)

Precisions

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

ival-mult: 7.0ms (37% of total)

ival-sqrt: 3.0ms (15.9% of total)

ival-div: 2.0ms (10.6% of total)

ival-sub: 2.0ms (10.6% of total)

ival-neg: 2.0ms (10.6% of total)

ival-add: 2.0ms (10.6% of total)

adjust: 1.0ms (5.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch57.0ms (0.5%)

Memory

12.0MiB live, 102.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
31.0ms	3.415651182452019e-122	1.0434910881928905e-109
19.0ms	-1.31159358563873e-21	-5.763491770037574e-27

Samples

25.0ms	265×	0	valid
7.0ms	84×	0	invalid
3.0ms	24×	1	valid
3.0ms	14×	2	valid
0.0ms	1×	3	valid

Compiler

Compiled 542 to 389 computations (28.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 10.0ms (42.3% of total)

ival-div: 3.0ms (12.7% of total)

ival-sqrt: 3.0ms (12.7% of total)

ival-sub: 2.0ms (8.5% of total)

ival-neg: 2.0ms (8.5% of total)

ival-add: 2.0ms (8.5% of total)

adjust: 1.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch55.0ms (0.5%)

Memory

18.7MiB live, 96.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	3.415651182452019e-122	1.0434910881928905e-109
20.0ms	-1.31159358563873e-21	-5.763491770037574e-27

Samples

22.0ms	268×	0	valid
7.0ms	81×	0	invalid
3.0ms	25×	1	valid
2.0ms	8×	2	valid
1.0ms	2×	3	valid
0.0ms	1×	4	valid

Compiler

Compiled 542 to 389 computations (28.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 10.0ms (42.5% of total)

ival-div: 3.0ms (12.7% of total)

ival-sqrt: 3.0ms (12.7% of total)

ival-sub: 2.0ms (8.5% of total)

ival-neg: 2.0ms (8.5% of total)

ival-add: 2.0ms (8.5% of total)

adjust: 1.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch45.0ms (0.4%)

Memory

-33.4MiB live, 41.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	5.126250422297763e-286	2.5879929875916356e-269

Samples

12.0ms	160×	0	valid
7.0ms	84×	0	invalid

Compiler

Compiled 183 to 140 computations (23.5% saved)

Precisions

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

ival-mult: 5.0ms (40.5% of total)

ival-div: 2.0ms (16.2% of total)

ival-sqrt: 2.0ms (16.2% of total)

ival-add: 1.0ms (8.1% of total)

ival-sub: 1.0ms (8.1% of total)

ival-neg: 1.0ms (8.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch35.0ms (0.3%)

Memory

15.4MiB live, 50.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	3.9288788381030604e-195	4.639093868791725e-181

Samples

11.0ms	139×	0	valid
10.0ms	72×	0	invalid
3.0ms	21×	1	valid

Compiler

Compiled 153 to 130 computations (15% saved)

Precisions

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

ival-mult: 5.0ms (38.4% of total)

ival-div: 2.0ms (15.4% of total)

ival-sqrt: 2.0ms (15.4% of total)

ival-add: 1.0ms (7.7% of total)

ival-sub: 1.0ms (7.7% of total)

ival-neg: 1.0ms (7.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

simplify12.0ms (0.1%)

Memory

20.5MiB live, 20.5MiB allocated

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative_binary64`
22×	`+-commutative_binary64`
22×	`sub-neg_binary64`
14×	`neg-sub0_binary64`
14×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	154
1	82	154
2	101	154
3	113	154
4	119	154
5	120	154

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -24000000000000001482167379456358601721548095013475766827117671200212259765030098202099336285788558774687336953564471308931066507892229133162056516036984832 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 8799977056535789/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -12000000000000000046728947167489353131378274227524969817834403388004409442727749628942832730220510285809632040938635264 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 8799977056535789/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -5614659054195485/85070591730234615865843651857942052864 binary64)) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 7852287219678089/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576 binary64)) (/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64)))) b) (.f64 #s(literal 2 binary64) a)) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -5296426984651023/696898287454081973172991196020261297061888 binary64)) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 4230758200257591/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))))) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal 2785922378684295/5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688 binary64)) (/.f64 b (neg.f64 a)) (/.f64 c (neg.f64 b)))
(if (<=.f64 b #s(literal 154105543990675/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224 binary64)) (/.f64 b (neg.f64 a)) #s(literal 0 binary64))
#s(literal 0 binary64)

Outputs
(if (<=.f64 b #s(literal -24000000000000001482167379456358601721548095013475766827117671200212259765030098202099336285788558774687336953564471308931066507892229133162056516036984832 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 8799977056535789/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a)) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -24000000000000001482167379456358601721548095013475766827117671200212259765030098202099336285788558774687336953564471308931066507892229133162056516036984832 binary64)) (neg.f64 (/.f64 b a)) (if (<=.f64 b #s(literal 8799977056535789/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) b) (*.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -12000000000000000046728947167489353131378274227524969817834403388004409442727749628942832730220510285809632040938635264 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 8799977056535789/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -12000000000000000046728947167489353131378274227524969817834403388004409442727749628942832730220510285809632040938635264 binary64)) (neg.f64 (/.f64 b a)) (if (<=.f64 b #s(literal 8799977056535789/84615164005151820665845159428194693098035799419427996068435045795123941278247852265624218936283556460491675139202989862944768 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -5614659054195485/85070591730234615865843651857942052864 binary64)) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 7852287219678089/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576 binary64)) (/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64)))) b) (.f64 #s(literal 2 binary64) a)) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -5614659054195485/85070591730234615865843651857942052864 binary64)) (fma.f64 b (/.f64 c (.f64 b b)) (neg.f64 (/.f64 b a))) (if (<=.f64 b #s(literal 7852287219678089/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576 binary64)) (/.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64)))) b) (.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal -5296426984651023/696898287454081973172991196020261297061888 binary64)) (fma.f64 b (/.f64 c (.f64 b b)) (/.f64 b (neg.f64 a))) (if (<=.f64 b #s(literal 4230758200257591/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))))) (/.f64 c (neg.f64 b))))
(if (<=.f64 b #s(literal -5296426984651023/696898287454081973172991196020261297061888 binary64)) (fma.f64 b (/.f64 c (.f64 b b)) (neg.f64 (/.f64 b a))) (if (<=.f64 b #s(literal 4230758200257591/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))))) (neg.f64 (/.f64 c b))))
(if (<=.f64 b #s(literal 2785922378684295/5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688 binary64)) (/.f64 b (neg.f64 a)) (/.f64 c (neg.f64 b)))
(if (<=.f64 b #s(literal 2785922378684295/5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688 binary64)) (neg.f64 (/.f64 b a)) (neg.f64 (/.f64 c b)))
(if (<=.f64 b #s(literal 154105543990675/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224 binary64)) (/.f64 b (neg.f64 a)) #s(literal 0 binary64))
(if (<=.f64 b #s(literal 154105543990675/5136851466355833503165029182500125649951503713694505722166289944403058744430742990345377476833582471901350555523611540735370539306820120960085756611964727392534398116336371677921546638558908903585247316148224 binary64)) (neg.f64 (/.f64 b a)) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness1.1s (9.7%)

Memory

-27.4MiB live, 871.1MiB allocated

Rules

12 588×	`accelerator-lowering-fma.f32`
12 588×	`accelerator-lowering-fma.f64`
12 088×	`accelerator-lowering-fma.f32`
12 088×	`accelerator-lowering-fma.f64`
11 458×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	726	8841
1	2369	8696
0	8219	8369
0	14	51
1	67	49
2	527	48
3	6858	48
0	8152	44
0	35	185
1	217	181
2	1735	175
0	8987	164
0	753	10445
1	2464	10212
0	8329	9787
0	545	3273
1	1738	3232
2	6083	3204
0	8243	3047
0	930	8854
1	3044	8651
0	9186	8304

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 328 to 181 computations (44.8% saved)

preprocess82.0ms (0.7%)

Memory: -7.9MiB live, 148.4MiB allocated
Compiler: Compiled 354 to 148 computations (58.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze140.0ms (1.3%)

sample2.1s (18.8%)

preprocess153.0ms (1.4%)

explain251.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify96.0ms (0.9%)

localize56.0ms (0.5%)

series23.0ms (0.2%)

rewrite276.0ms (2.5%)

simplify411.0ms (3.7%)

eval84.0ms (0.8%)

prune113.0ms (1%)

simplify194.0ms (1.7%)

localize178.0ms (1.6%)

series55.0ms (0.5%)

rewrite335.0ms (3%)

simplify421.0ms (3.8%)

eval241.0ms (2.2%)

prune249.0ms (2.2%)

simplify253.0ms (2.3%)

localize199.0ms (1.8%)

series28.0ms (0.3%)

rewrite525.0ms (4.7%)

simplify516.0ms (4.6%)

eval240.0ms (2.2%)

prune229.0ms (2.1%)

simplify262.0ms (2.4%)

localize148.0ms (1.3%)

series21.0ms (0.2%)

rewrite388.0ms (3.5%)

simplify531.0ms (4.8%)

eval259.0ms (2.3%)

prune380.0ms (3.4%)

regimes116.0ms (1%)

regimes21.0ms (0.2%)

regimes17.0ms (0.2%)

regimes18.0ms (0.2%)

regimes28.0ms (0.2%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch129.0ms (1.2%)

bsearch63.0ms (0.6%)

bsearch57.0ms (0.5%)

bsearch55.0ms (0.5%)

bsearch45.0ms (0.4%)

bsearch35.0ms (0.3%)

simplify12.0ms (0.1%)

soundness1.1s (9.7%)

preprocess82.0ms (0.7%)

end0.0ms (0%)

Profiling