Metrics for quad2p (problem 3.2.1, positive)

analyze113.0ms (1.2%)

Memory

-11.2MiB live, 181.1MiB 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
42.6%	40.6%	54.6%	0.1%	0%	4.7%	0%	7
51.2%	48.4%	46%	0.1%	0%	5.5%	0%	8
54.5%	49.9%	41.7%	0.1%	0%	8.2%	0%	9
60.2%	53.4%	35.3%	0.1%	0%	11.1%	0%	10
67.6%	58.7%	28.2%	0.1%	0%	13%	0%	11
71.4%	60.6%	24.2%	0.1%	0%	15.1%	0%	12

Compiler

Compiled 15 to 12 computations (20% saved)

sample1.6s (17.4%)

Memory

14.3MiB live, 1 339.2MiB allocated

Samples

436.0ms	5 514×	0	valid
367.0ms	1 174×	2	valid
299.0ms	1 373×	1	valid
85.0ms	1 083×	0	invalid
70.0ms	191×	3	valid
1.0ms	4×	4	valid

Precisions

Click to see histograms. Total time spent on operations: 823.0ms

ival-mult: 222.0ms (27% of total)

ival-neg: 174.0ms (21.2% of total)

ival-div: 120.0ms (14.6% of total)

ival-sqrt: 104.0ms (12.6% of total)

ival-sub: 87.0ms (10.6% of total)

ival-add: 62.0ms (7.5% of total)

adjust: 43.0ms (5.2% of total)

ival-true: 7.0ms (0.9% of total)

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

Bogosity

preprocess122.0ms (1.3%)

Memory

9.2MiB live, 46.8MiB allocated

Algorithm

2×	egg-herbie

Rules

1 014×	`div-sub`
798×	`times-frac`
442×	`associate-/r*`
416×	`accelerator-lowering-fma.f32`
416×	`accelerator-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	131
1	119	123
2	250	121
3	694	121
4	1801	121
5	3275	121
6	3876	121
7	3981	121
8	4069	121
9	4093	121
10	4093	121
0	10	13
1	21	12
2	38	12
3	67	12
4	106	12
5	182	12
6	314	12
7	460	12
8	802	12
9	915	12
10	947	12
11	958	12
12	959	12
0	959	12

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)

Outputs
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)

Call 2

Inputs
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* (neg a) c)))) (neg a))
(/ (+ (neg (neg b_2)) (sqrt (- (* (neg b_2) (neg b_2)) (* a c)))) a)
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a (neg c))))) a)
(neg (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* (neg a) c)))) (neg a)))
(neg (/ (+ (neg (neg b_2)) (sqrt (- (* (neg b_2) (neg b_2)) (* a c)))) a))
(neg (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a (neg c))))) a))
(/ (+ (neg a) (sqrt (- (* a a) (* b_2 c)))) b_2)
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* c a)))) c)
(/ (+ (neg c) (sqrt (- (* c c) (* a b_2)))) a)

Outputs
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a)
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* (neg a) c)))) (neg a))
(/ (- b_2 (sqrt (+ (* b_2 b_2) (* a c)))) a)
(/ (+ (neg (neg b_2)) (sqrt (- (* (neg b_2) (neg b_2)) (* a c)))) a)
(/ (+ b_2 (sqrt (- (* b_2 b_2) (* a c)))) a)
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a (neg c))))) a)
(/ (- (sqrt (+ (* b_2 b_2) (* a c))) b_2) a)
(neg (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* (neg a) c)))) (neg a)))
(/ (- (sqrt (+ (* b_2 b_2) (* a c))) b_2) a)
(neg (/ (+ (neg (neg b_2)) (sqrt (- (* (neg b_2) (neg b_2)) (* a c)))) a))
(/ (+ b_2 (sqrt (- (* b_2 b_2) (* a c)))) (neg a))
(neg (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a (neg c))))) a))
(/ (- b_2 (sqrt (+ (* b_2 b_2) (* a c)))) a)
(/ (+ (neg a) (sqrt (- (* a a) (* b_2 c)))) b_2)
(/ (- (sqrt (- (* a a) (* b_2 c))) a) b_2)
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* c a)))) c)
(/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) c)
(/ (+ (neg c) (sqrt (- (* c c) (* a b_2)))) a)
(/ (- (sqrt (- (* c c) (* b_2 a))) c) a)

explain154.0ms (1.6%)

Memory

5.5MiB live, 286.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
106	-	3	(2.011873918962406e-265 -4.0681006188703714e-206 -5.139155167834783e-52)	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
55	-	0	-	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
21	-	2	(-5.840747608029014e-37 2.7874584423354273e-9 3.4649060585368784e-292)	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
3	-	0	-	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`
0	-	0	-	`(*.f64 b_2 b_2)`
0	-	0	-	`a`
0	-	0	-	`(neg.f64 b_2)`
0	-	0	-	`b_2`
0	-	0	-	`(*.f64 a c)`
0	-	0	-	`c`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	oflow-rescue	100	0
↳	`(*.f64 b_2 b_2)`	overflow	85
↳	`(*.f64 a c)`	overflow	23
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	overflow	100
`+.f64`	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	cancellation	55	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`	u/n	19	0
↳	`(*.f64 b_2 b_2)`	underflow	44
↳	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	underflow	29
↳	`(*.f64 a c)`	underflow	31
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	3
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	uflow-rescue	3	0
↳	`(*.f64 b_2 b_2)`	underflow	44
↳	`(*.f64 a c)`	underflow	31
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	3
`-.f64`	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	nan-rescue	3	0
↳	`(*.f64 b_2 b_2)`	overflow	85
↳	`(*.f64 a c)`	overflow	23

Confusion

	Predicted +	Predicted -
+	124	2
-	19	111

Precision

0.8671328671328671

Recall

0.9841269841269841

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	124	0	2
-	19	0	111

Precision?

0.8671328671328671

Recall?

0.9841269841269841

Freqs

test

number	freq
0	113
1	107
2	35
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms	346×	0	valid
15.0ms	72×	2	valid
13.0ms	78×	1	valid
4.0ms	16×	3	valid

Compiler

Compiled 136 to 44 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 9.0ms (24.9% of total)

ival-sqrt: 6.0ms (16.6% of total)

ival-div: 5.0ms (13.8% of total)

ival-neg: 5.0ms (13.8% of total)

ival-sub: 4.0ms (11% of total)

ival-add: 4.0ms (11% of total)

adjust: 3.0ms (8.3% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.8%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify39.0ms (0.4%)

Memory

-23.0MiB live, 16.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	cost-diff	0	(neg.f64 b_2)
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	cost-diff	128	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))

Rules

416×	`accelerator-lowering-fma.f32`
416×	`accelerator-lowering-fma.f64`
264×	`-lowering-.f32`
264×	`-lowering-.f64`
146×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	50
1	21	48
2	38	48
3	67	48
4	106	48
5	182	48
6	314	48
7	460	48
8	802	48
9	915	48
10	947	48
11	958	48
12	959	48
0	959	48

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
(+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
(neg b_2)
b_2
(sqrt (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))
(* b_2 b_2)
(* a c)
a
c

Outputs
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
(+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
(neg b_2)
(neg.f64 b_2)
b_2
(sqrt (- (* b_2 b_2) (* a c)))
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
(- (* b_2 b_2) (* a c))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(* b_2 b_2)
(*.f64 b_2 b_2)
(* a c)
(*.f64 a c)
a
c

localize52.0ms (0.6%)

Memory

-2.7MiB live, 51.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	93.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	accuracy	80.2%	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	accuracy	61.7%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Samples

20.0ms	36×	2	valid
13.0ms	173×	0	valid
5.0ms	39×	1	valid
2.0ms	8×	3	valid

Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 4.0ms (24.2% of total)

ival-div: 3.0ms (18.1% of total)

ival-sqrt: 3.0ms (18.1% of total)

ival-sub: 2.0ms (12.1% of total)

ival-neg: 2.0ms (12.1% of total)

ival-add: 2.0ms (12.1% of total)

adjust: 1.0ms (6% of total)

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

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

series20.0ms (0.2%)

Memory

3.8MiB live, 41.7MiB allocated

Counts

5 → 156

Calls

Call 1

Inputs
#<alt (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))>
#<alt (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)>
#<alt (neg b_2)>
#<alt (sqrt (- (* b_2 b_2) (* a c)))>
#<alt (- (* b_2 b_2) (* a c))>

Outputs
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 b_2)>
#<alt (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))>
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))>
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))>
#<alt b_2>
#<alt (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (- (pow b_2 2) (* a c))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (pow b_2 2)>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (* -1 (* a c))>
#<alt (* a (- (/ (pow b_2 2) a) c))>
#<alt (* a (- (/ (pow b_2 2) a) c))>
#<alt (* a (- (/ (pow b_2 2) a) c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))>
#<alt (pow b_2 2)>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (* -1 (* a c))>
#<alt (* c (- (/ (pow b_2 2) c) a))>
#<alt (* c (- (/ (pow b_2 2) c) a))>
#<alt (* c (- (/ (pow b_2 2) c) a))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))>

Calls

39 calls:

Time	Variable		Point	Expression
1.0ms	b_2	@	inf	(+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
1.0ms	a	@	inf	(+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
1.0ms	b_2	@	inf	(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
1.0ms	c	@	0	(+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
1.0ms	b_2	@	-inf	(neg b_2)

rewrite277.0ms (3%)

Memory

6.1MiB live, 516.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 898×	`accelerator-lowering-fma.f32`
3 898×	`accelerator-lowering-fma.f64`
3 070×	`-lowering-.f32`
3 070×	`-lowering-.f64`
1 432×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
1	57	39
2	456	38
3	5874	38
0	8926	34

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 449

Calls

Call 1

Inputs
(+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
(neg b_2)
(sqrt (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))

Outputs
(+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))
(+.f64 b_2 (.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) #s(literal -1 binary64)))
(+.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) b_2)
(+.f64 #s(literal 0 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))
(+.f64 (/.f64 (.f64 b_2 b_2) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))) (neg.f64 (/.f64 (fma.f64 b_2 b_2 (.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))))))
(+.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 0 binary64)) b_2)
(+.f64 (.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) #s(literal -1 binary64)) b_2)
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 b_2 b_2) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))))) (/.f64 (fma.f64 b_2 b_2 (.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))))) #s(literal -1 binary64)))
(-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))
(-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) b_2)
(-.f64 #s(literal 0 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))
(-.f64 (/.f64 (.f64 b_2 b_2) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))) (/.f64 (fma.f64 b_2 b_2 (.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))))
(-.f64 (/.f64 (fma.f64 b_2 b_2 (.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))) (/.f64 (.f64 b_2 b_2) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))))
(-.f64 (/.f64 (.f64 b_2 (.f64 b_2 b_2)) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (fma.f64 b_2 b_2 (.f64 a c)))) (/.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c)))))
(-.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 0 binary64)) b_2)
(fma.f64 b_2 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))
(fma.f64 b_2 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) #s(literal -1 binary64)))
(fma.f64 b_2 #s(literal -1 binary64) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))
(fma.f64 b_2 #s(literal -1 binary64) (.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) #s(literal -1 binary64)))
(fma.f64 b_2 (/.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))) (neg.f64 (/.f64 (fma.f64 b_2 b_2 (.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))))
(fma.f64 (.f64 b_2 b_2) (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))) (neg.f64 (/.f64 (fma.f64 b_2 b_2 (.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))))))
(fma.f64 (.f64 b_2 b_2) (/.f64 #s(literal 1 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))
(fma.f64 (.f64 b_2 b_2) (/.f64 #s(literal 1 binary64) b_2) (.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal -1 binary64)))
(fma.f64 (fma.f64 b_2 b_2 (.f64 a c)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (.f64 a c)))) b_2)
(fma.f64 (fma.f64 b_2 b_2 (.f64 a c)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) b_2)
(fma.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal -1 binary64) b_2)
(fma.f64 (.f64 b_2 (.f64 b_2 b_2)) (/.f64 #s(literal 1 binary64) (.f64 b_2 b_2)) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))
(fma.f64 (.f64 b_2 (.f64 b_2 b_2)) (/.f64 #s(literal 1 binary64) (.f64 b_2 b_2)) (.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))
(fma.f64 #s(literal 1 binary64) b_2 (.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 b_2 b_2) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))) (neg.f64 (/.f64 (fma.f64 b_2 b_2 (.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))))))
(fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))
(fma.f64 #s(literal -1 binary64) b_2 (.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) b_2)
(fma.f64 #s(literal -1 binary64) (/.f64 (.f64 b_2 b_2) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))) (neg.f64 (/.f64 (fma.f64 b_2 b_2 (.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))))))
(fma.f64 (sqrt.f64 (fma.f64 a (.f64 c (.f64 c (.f64 a (.f64 a c)))) (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 c (.f64 a (.f64 a c)))))) b_2)
(fma.f64 (sqrt.f64 (fma.f64 a (.f64 c (.f64 c (.f64 a (.f64 a c)))) (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 c (.f64 a (.f64 a c)))))) b_2)
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) b_2)
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))) b_2)
(fma.f64 (pow.f64 b_2 #s(literal 1/2 binary64)) (pow.f64 b_2 #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))
(fma.f64 (pow.f64 b_2 #s(literal 1/2 binary64)) (pow.f64 b_2 #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) #s(literal -1 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))) (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) b_2)
(fma.f64 (/.f64 (.f64 b_2 b_2) (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 a c)))) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (neg.f64 (/.f64 (fma.f64 b_2 b_2 (.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))))
(fma.f64 (/.f64 (.f64 b_2 b_2) (fma.f64 b_2 (.f64 b_2 b_2) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))))) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (/.f64 (fma.f64 b_2 b_2 (.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))))
(neg.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))
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(.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (/.f64 #s(literal 1 binary64) a))
(.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (/.f64 #s(literal -1 binary64) a))
(.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))))
(.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) a) #s(literal 1 binary64))
(.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) a) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))))
(.f64 (fma.f64 b_2 (.f64 b_2 b_2) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c)))) a))
(.f64 (fma.f64 b_2 (.f64 b_2 b_2) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))) (/.f64 #s(literal 1 binary64) (.f64 a (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (fma.f64 b_2 b_2 (.f64 a c))))))
(.f64 (fma.f64 b_2 (.f64 b_2 b_2) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c)))) (neg.f64 a)))
(.f64 (fma.f64 b_2 (.f64 b_2 b_2) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))) (/.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c)))))
(.f64 (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (fma.f64 b_2 b_2 (.f64 a c))) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (.f64 a (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c))))))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) a))
(.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) a))
(.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) a))
(.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (/.f64 #s(literal 1 binary64) (.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))))))
(.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) (neg.f64 a)))
(.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (/.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))))
(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))))
(.f64 (/.f64 (fma.f64 b_2 (.f64 b_2 b_2) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))) a) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c)))))
(.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 a c))) a) (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))))
(.f64 (/.f64 (fma.f64 b_2 (.f64 b_2 b_2) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c)))) a))
(.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 a c))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) a))
(.f64 (/.f64 (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (fma.f64 b_2 b_2 (.f64 a c))) a) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (fma.f64 b_2 b_2 (.f64 a c)))))
(.f64 (pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) a) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) a) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 b_2 (.f64 b_2 b_2) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 a c))))) (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))))
(.f64 (/.f64 (/.f64 (fma.f64 b_2 (.f64 b_2 b_2) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))) a) (fma.f64 (fma.f64 a (neg.f64 c) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))))) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 a c)))) (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))))) (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (fma.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))))))))
(.f64 (/.f64 (/.f64 (fma.f64 b_2 (.f64 b_2 b_2) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))) a) (-.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 a c)))))) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c))))
(.f64 (/.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 a c))) a) (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 a c)))) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))))
(.f64 (/.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 a c))) a) (fma.f64 b_2 (.f64 b_2 b_2) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))))) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (fma.f64 b_2 b_2 (.f64 a c))))
b_2
(+.f64 b_2 #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) b_2)
(exp.f64 (*.f64 (log.f64 b_2) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 b_2) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) b_2)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b_2 b_2)) b_2)
(-.f64 (/.f64 #s(literal 0 binary64) b_2) b_2)
(fma.f64 b_2 #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 b_2 #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 b_2 b_2) (/.f64 #s(literal 1 binary64) b_2) #s(literal 0 binary64))
(fma.f64 (.f64 b_2 (.f64 b_2 b_2)) (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) b_2 #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) b_2 #s(literal 0 binary64))
(fma.f64 (pow.f64 b_2 #s(literal 1/2 binary64)) (pow.f64 b_2 #s(literal 1/2 binary64)) #s(literal 0 binary64))
(neg.f64 b_2)
(/.f64 (*.f64 b_2 b_2) b_2)
(/.f64 (.f64 b_2 (.f64 b_2 b_2)) (*.f64 b_2 b_2))
(/.f64 (.f64 b_2 (.f64 b_2 b_2)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b_2 b_2) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b_2 b_2) (.f64 b_2 (*.f64 b_2 b_2))))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 b_2 b_2)))
(pow.f64 b_2 #s(literal 1 binary64))
(pow.f64 (*.f64 b_2 b_2) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (.f64 b_2 b_2) (.f64 b_2 (*.f64 b_2 b_2))) #s(literal -1 binary64))
(pow.f64 (/.f64 b_2 (*.f64 b_2 b_2)) #s(literal -1 binary64))
(pow.f64 (pow.f64 b_2 #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 b_2 #s(literal 1 binary64))
(*.f64 b_2 #s(literal -1 binary64))
(.f64 (.f64 b_2 b_2) (/.f64 #s(literal 1 binary64) b_2))
(.f64 (.f64 b_2 (.f64 b_2 b_2)) (/.f64 #s(literal 1 binary64) (.f64 b_2 b_2)))
(*.f64 #s(literal 1 binary64) b_2)
(*.f64 #s(literal -1 binary64) b_2)
(*.f64 (pow.f64 b_2 #s(literal 1/2 binary64)) (pow.f64 b_2 #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 b_2 b_2 (.f64 a c)))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 b_2 b_2 (.f64 a c)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (fma.f64 b_2 b_2 (.f64 a c)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(fabs.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))
(sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))
(fma.f64 (fma.f64 b_2 b_2 (.f64 a c)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (.f64 a c)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 b_2 b_2 (.f64 a c)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 a (.f64 c (.f64 c (.f64 a (.f64 a c)))) (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 c (.f64 a (.f64 a c)))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 a (.f64 c (.f64 c (.f64 a (.f64 a c)))) (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 c (.f64 a (.f64 a c)))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))) (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))) #s(literal 0 binary64))
(neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))
(/.f64 (fma.f64 b_2 b_2 (.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 c (.f64 a (.f64 a c))))) (sqrt.f64 (fma.f64 a (.f64 c (.f64 c (.f64 a (.f64 a c)))) (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) (fma.f64 b_2 b_2 (.f64 a c))))
(/.f64 (sqrt.f64 (fma.f64 a (.f64 c (.f64 c (.f64 a (.f64 a c)))) (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))))) (sqrt.f64 (fma.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 c (.f64 a (.f64 a c))))))
(/.f64 (sqrt.f64 (fma.f64 a (.f64 c (.f64 c (.f64 a (.f64 a c)))) (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))))) (neg.f64 (sqrt.f64 (fma.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 c (.f64 a (.f64 a c)))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 c (.f64 c (.f64 a (.f64 a c)))) (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))))))) (sqrt.f64 (fma.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 c (.f64 a (.f64 a c))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 a (.f64 c (.f64 c (.f64 a (.f64 a c)))) (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))))))) (neg.f64 (sqrt.f64 (fma.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 c (.f64 a (.f64 a c)))))))
(/.f64 (fma.f64 (fma.f64 b_2 b_2 (.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) #s(literal 0 binary64)) (+.f64 (fma.f64 b_2 b_2 (.f64 a c)) (-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 0 binary64)))))
(/.f64 (-.f64 (fma.f64 b_2 b_2 (.f64 a c)) #s(literal 0 binary64)) (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) #s(literal 0 binary64)))
(pow.f64 (fma.f64 b_2 b_2 (*.f64 a c)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1 binary64))
(pow.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 a c))) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 c (.f64 a (.f64 a c))))) (sqrt.f64 (fma.f64 a (.f64 c (.f64 c (.f64 a (.f64 a c)))) (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) (fma.f64 b_2 b_2 (.f64 a c))) #s(literal -1 binary64))
(.f64 (fma.f64 b_2 b_2 (.f64 a c)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))
(.f64 (fma.f64 b_2 b_2 (.f64 a c)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))
(.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))
(.f64 (sqrt.f64 (fma.f64 a (.f64 c (.f64 c (.f64 a (.f64 a c)))) (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 c (.f64 a (*.f64 a c)))))))
(.f64 (sqrt.f64 (fma.f64 a (.f64 c (.f64 c (.f64 a (.f64 a c)))) (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 c (.f64 a (*.f64 a c)))))))
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(.f64 (pow.f64 (fma.f64 a (.f64 c (.f64 c (.f64 a (.f64 a c)))) (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 c (.f64 a (*.f64 a c))))))
(.f64 (/.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 a (.f64 c (.f64 c (.f64 a (.f64 a c)))) (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))))) (/.f64 (fma.f64 b_2 b_2 (.f64 a c)) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 c (.f64 a (*.f64 a c)))))))
(.f64 (/.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 a c))) (fma.f64 a (.f64 c (.f64 c (.f64 a (.f64 a c)))) (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))))) (fma.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 c (.f64 a (.f64 a c)))))
(.f64 (/.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 a c))) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 a c)))) (fma.f64 b_2 b_2 (.f64 a c)))
(.f64 (/.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 a c))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))
(.f64 (/.f64 (fma.f64 a (.f64 c (.f64 c (.f64 a (.f64 a c)))) (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))))) (fma.f64 (.f64 a (.f64 c (.f64 c (.f64 a (.f64 a c))))) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 a c)))) (.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))) (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))))))) (fma.f64 b_2 (.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))) (.f64 (.f64 a (.f64 c (fma.f64 b_2 b_2 (.f64 a c)))) (-.f64 (.f64 a (.f64 c (fma.f64 b_2 b_2 (.f64 a c)))) (.f64 b_2 (.f64 b_2 (*.f64 b_2 b_2)))))))
(.f64 (/.f64 (fma.f64 a (.f64 c (.f64 c (.f64 a (.f64 a c)))) (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))))) (.f64 (fma.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 c (.f64 a (.f64 a c)))) (fma.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 c (.f64 a (.f64 a c)))))) (fma.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 c (.f64 a (.f64 a c)))))

simplify438.0ms (4.7%)

Memory

-19.6MiB live, 901.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 022×	`accelerator-lowering-fma.f32`
11 022×	`accelerator-lowering-fma.f64`
7 132×	`-lowering-.f32`
7 132×	`-lowering-.f64`
3 498×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	508	3200
1	1606	3160
2	5520	3144
0	8782	3008

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(* -1/2 (/ (* a c) b_2))
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1/2 (/ (* a c) b_2))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1/2 (/ c b_2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* (sqrt (* a c)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(- (pow b_2 2) (* a c))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(* a (- (/ (pow b_2 2) a) c))
(* -1 (* a c))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* c (- (/ (pow b_2 2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(* c (- (/ (pow b_2 2) c) a))
(* -1 (* a c))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))

Outputs
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(fma.f64 b_2 (fma.f64 (.f64 #s(literal 1/2 binary64) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) #s(literal -1 binary64)) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
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(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(-.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c 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 (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))) (.f64 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))))) (/.f64 b_2 a))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 b_2 b_2)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) b_2) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 a c)))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))))) #s(literal 1/8 binary64))) a) b_2) a) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
(* -1/2 (/ c b_2))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(.f64 c (fma.f64 c (/.f64 (.f64 a #s(literal -1/8 binary64)) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 #s(literal -1/2 binary64) b_2)))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(.f64 c (fma.f64 c (fma.f64 (.f64 a a) (.f64 (/.f64 c (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64)) (/.f64 (.f64 a #s(literal -1/8 binary64)) (.f64 b_2 (.f64 b_2 b_2)))) (/.f64 #s(literal -1/2 binary64) b_2)))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 c (/.f64 (/.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 5/64 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (.f64 a b_2))) (/.f64 (.f64 (.f64 a a) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))) (/.f64 (.f64 a #s(literal -1/8 binary64)) (.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 #s(literal -1/2 binary64) b_2)))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(.f64 c (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 b_2 (*.f64 a (neg.f64 c)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 c (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c))))))) (.f64 (.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))))) (/.f64 b_2 (*.f64 a c))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(.f64 c (-.f64 (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 (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c))))))) (.f64 (.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))))) (/.f64 b_2 (.f64 a c))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 b_2 (*.f64 a c))) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(neg.f64 (.f64 c (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (*.f64 a c))))))) (/.f64 b_2 (neg.f64 a))) c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(neg.f64 (.f64 c (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 (+.f64 (/.f64 b_2 a) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (pow.f64 a #s(literal 5 binary64))))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2))) #s(literal -1/8 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c (.f64 a (.f64 a a))))))) c)) c))))
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(fma.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(fma.f64 (.f64 b_2 b_2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c))))))) (.f64 (/.f64 (.f64 b_2 b_2) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)))) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(fma.f64 (.f64 b_2 b_2) (fma.f64 (.f64 b_2 b_2) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c))))))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (.f64 (/.f64 (.f64 b_2 b_2) (pow.f64 (sqrt.f64 #s(literal -1 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 -1 binary64))))) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(fma.f64 (/.f64 (.f64 a c) (.f64 b_2 b_2)) (*.f64 #s(literal -1/2 binary64) b_2) b_2)
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(fma.f64 b_2 (fma.f64 a (/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 b_2 b_2)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b_2 b_2) (*.f64 b_2 b_2)))) b_2)
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(fma.f64 b_2 (fma.f64 a (/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 b_2 b_2)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2))) (/.f64 (.f64 (.f64 (.f64 c (.f64 c c)) #s(literal -1/16 binary64)) (.f64 a (.f64 a a))) (pow.f64 b_2 #s(literal 6 binary64))))) b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(.f64 (fma.f64 (.f64 a c) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) #s(literal 1 binary64)) (neg.f64 b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(.f64 (fma.f64 (.f64 (.f64 a #s(literal -1/8 binary64)) a) (/.f64 (.f64 c c) (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2))) (fma.f64 (.f64 a c) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) #s(literal 1 binary64))) (neg.f64 b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(neg.f64 (fma.f64 b_2 (fma.f64 a (/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 b_2 b_2)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2))) (/.f64 (.f64 (.f64 (.f64 c (.f64 c c)) #s(literal -1/16 binary64)) (.f64 a (.f64 a a))) (pow.f64 b_2 #s(literal 6 binary64))))) b_2))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(fma.f64 a (fma.f64 c (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c c))) (.f64 b_2 (*.f64 b_2 b_2)))) b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(fma.f64 a (fma.f64 a (fma.f64 (/.f64 (.f64 c (.f64 c c)) (pow.f64 b_2 #s(literal 5 binary64))) (.f64 #s(literal -1/16 binary64) a) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (.f64 b_2 (.f64 b_2 b_2)))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(.f64 a (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))) (.f64 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(.f64 a (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c 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 (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))) (.f64 (.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 a (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))) (.f64 (.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) (neg.f64 a))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(neg.f64 (.f64 a (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2)))))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
(neg.f64 (.f64 a (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2)
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(fma.f64 c (fma.f64 c (/.f64 (.f64 (.f64 a #s(literal -1/8 binary64)) a) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2)) b_2)
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(fma.f64 c (fma.f64 c (fma.f64 (.f64 a (.f64 a a)) (.f64 (/.f64 c (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64)) (/.f64 (.f64 (.f64 a #s(literal -1/8 binary64)) a) (.f64 b_2 (.f64 b_2 b_2)))) (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (.f64 (/.f64 (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 c (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (neg.f64 (sqrt.f64 #s(literal -1 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_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c)))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (neg.f64 c))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(neg.f64 (.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2))) #s(literal -1/8 binary64)) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c)))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(neg.f64 (.f64 c (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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2))) #s(literal -1/8 binary64)) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))))
(* -1 (* a c))
(*.f64 a (neg.f64 c))
(- (pow b_2 2) (* a c))
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(- (pow b_2 2) (* a c))
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(- (pow b_2 2) (* a c))
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(pow b_2 2)
(*.f64 b_2 b_2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64)))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64)))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64)))
(pow b_2 2)
(*.f64 b_2 b_2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64)))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64)))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64)))
(pow b_2 2)
(*.f64 b_2 b_2)
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(* -1 (* a c))
(*.f64 a (neg.f64 c))
(* a (- (/ (pow b_2 2) a) c))
(*.f64 a (fma.f64 b_2 (/.f64 b_2 a) (neg.f64 c)))
(* a (- (/ (pow b_2 2) a) c))
(*.f64 a (fma.f64 b_2 (/.f64 b_2 a) (neg.f64 c)))
(* a (- (/ (pow b_2 2) a) c))
(*.f64 a (fma.f64 b_2 (/.f64 b_2 a) (neg.f64 c)))
(* -1 (* a c))
(*.f64 a (neg.f64 c))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(*.f64 a (fma.f64 b_2 (/.f64 b_2 a) (neg.f64 c)))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(*.f64 a (fma.f64 b_2 (/.f64 b_2 a) (neg.f64 c)))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(*.f64 a (fma.f64 b_2 (/.f64 b_2 a) (neg.f64 c)))
(pow b_2 2)
(*.f64 b_2 b_2)
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(* -1 (* a c))
(*.f64 a (neg.f64 c))
(* c (- (/ (pow b_2 2) c) a))
(*.f64 c (fma.f64 b_2 (/.f64 b_2 c) (neg.f64 a)))
(* c (- (/ (pow b_2 2) c) a))
(*.f64 c (fma.f64 b_2 (/.f64 b_2 c) (neg.f64 a)))
(* c (- (/ (pow b_2 2) c) a))
(*.f64 c (fma.f64 b_2 (/.f64 b_2 c) (neg.f64 a)))
(* -1 (* a c))
(*.f64 a (neg.f64 c))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(*.f64 c (fma.f64 b_2 (/.f64 b_2 c) (neg.f64 a)))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(*.f64 c (fma.f64 b_2 (/.f64 b_2 c) (neg.f64 a)))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(*.f64 c (fma.f64 b_2 (/.f64 b_2 c) (neg.f64 a)))

eval76.0ms (0.8%)

Memory: 43.7MiB live, 156.9MiB allocated
Compiler: Compiled 18 573 to 2 104 computations (88.7% saved)

prune135.0ms (1.5%)

Memory

-31.6MiB live, 164.8MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	595	10	605
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	595	11	606

Accuracy

93.8%

Counts

606 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.3%	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
▶	36.6%	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64))) a)
	29.2%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 (.f64 b_2 b_2)) (/.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (/.f64 (.f64 c (.f64 a (.f64 a c))) (fma.f64 b_2 b_2 (*.f64 a c))))))) a)
✓	52.8%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	9.9%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (fma.f64 a (.f64 c (.f64 c (.f64 a (.f64 a c)))) (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 c (.f64 a (*.f64 a c))))))))) a)
▶	35.5%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64))))) a)
▶	36.6%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
▶	9.7%	(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
	34.8%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
▶	35.7%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
	35.4%	(neg.f64 (.f64 b_2 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a))))

Compiler

Compiled 418 to 232 computations (44.5% saved)

simplify243.0ms (2.6%)

Memory

21.2MiB live, 316.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 b_2)
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64))))) a)
✓	cost-diff	128	(+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64)))))
✓	cost-diff	1344	(.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64)))
✓	cost-diff	0	(sqrt.f64 (*.f64 a (neg.f64 c)))
✓	cost-diff	0	(neg.f64 b_2)
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
✓	cost-diff	128	(+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))
✓	cost-diff	0	(neg.f64 b_2)
✓	cost-diff	320	(+.f64 (neg.f64 b_2) b_2)
✓	cost-diff	704	(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
✓	cost-diff	0	(*.f64 b_2 #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
✓	cost-diff	0	(pow.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64))
✓	cost-diff	0	(neg.f64 b_2)
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64))) a)
✓	cost-diff	128	(+.f64 (neg.f64 b_2) (pow.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64)))

Rules

7 254×	`accelerator-lowering-fma.f32`
7 254×	`accelerator-lowering-fma.f64`
2 734×	`-lowering-.f32`
2 734×	`-lowering-.f64`
1 694×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	247
1	71	239
2	190	230
3	643	202
4	2404	202
5	4333	202
6	7084	202
0	8018	193

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)) a)
(+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4))
(neg b_2)
b_2
(pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)
(* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c)))
(+ (* b_2 b_2) (* a c))
(* a c)
a
c
1/4
(/ (* b_2 -2) a)
(* b_2 -2)
b_2
-2
a
(/ (+ (neg b_2) b_2) a)
(+ (neg b_2) b_2)
(neg b_2)
b_2
a
(/ (+ (neg b_2) (sqrt (* a (neg c)))) a)
(+ (neg b_2) (sqrt (* a (neg c))))
(neg b_2)
b_2
(sqrt (* a (neg c)))
(* a (neg c))
a
(neg c)
c
(/ (+ (neg b_2) (sqrt (* (* b_2 b_2) (+ (* a (/ c (* b_2 (neg b_2)))) 1)))) a)
(+ (neg b_2) (sqrt (* (* b_2 b_2) (+ (* a (/ c (* b_2 (neg b_2)))) 1))))
(neg b_2)
b_2
(sqrt (* (* b_2 b_2) (+ (* a (/ c (* b_2 (neg b_2)))) 1)))
(* (* b_2 b_2) (+ (* a (/ c (* b_2 (neg b_2)))) 1))
(* b_2 b_2)
(+ (* a (/ c (* b_2 (neg b_2)))) 1)
a
(/ c (* b_2 (neg b_2)))
c
(* b_2 (neg b_2))
1

Outputs
(/ (+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)) a)
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64)) b_2) a)
(+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4))
(-.f64 (pow.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64)) b_2)
(neg b_2)
(neg.f64 b_2)
b_2
(pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)
(pow.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64))
(* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c)))
(.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c)))
(+ (* b_2 b_2) (* a c))
(fma.f64 b_2 b_2 (*.f64 a c))
(* a c)
(*.f64 a c)
a
c
1/4
#s(literal 1/4 binary64)
(/ (* b_2 -2) a)
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(* b_2 -2)
(*.f64 b_2 #s(literal -2 binary64))
b_2
-2
#s(literal -2 binary64)
a
(/ (+ (neg b_2) b_2) a)
#s(literal 0 binary64)
(+ (neg b_2) b_2)
#s(literal 0 binary64)
(neg b_2)
(neg.f64 b_2)
b_2
a
(/ (+ (neg b_2) (sqrt (* a (neg c)))) a)
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
(+ (neg b_2) (sqrt (* a (neg c))))
(-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)
(neg b_2)
(neg.f64 b_2)
b_2
(sqrt (* a (neg c)))
(sqrt.f64 (*.f64 c (neg.f64 a)))
(* a (neg c))
(*.f64 c (neg.f64 a))
a
(neg c)
(neg.f64 c)
c
(/ (+ (neg b_2) (sqrt (* (* b_2 b_2) (+ (* a (/ c (* b_2 (neg b_2)))) 1)))) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2) a)
(+ (neg b_2) (sqrt (* (* b_2 b_2) (+ (* a (/ c (* b_2 (neg b_2)))) 1))))
(-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))) b_2)
(neg b_2)
(neg.f64 b_2)
b_2
(sqrt (* (* b_2 b_2) (+ (* a (/ c (* b_2 (neg b_2)))) 1)))
(sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))
(* (* b_2 b_2) (+ (* a (/ c (* b_2 (neg b_2)))) 1))
(fma.f64 b_2 b_2 (*.f64 c (neg.f64 a)))
(* b_2 b_2)
(*.f64 b_2 b_2)
(+ (* a (/ c (* b_2 (neg b_2)))) 1)
(fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64))
a
(/ c (* b_2 (neg b_2)))
(/.f64 c (*.f64 b_2 (neg.f64 b_2)))
c
(* b_2 (neg b_2))
(*.f64 b_2 (neg.f64 b_2))
1
#s(literal 1 binary64)

localize165.0ms (1.8%)

Memory

-31.6MiB live, 281.7MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	90.4%	(/.f64 c (*.f64 b_2 (neg.f64 b_2)))
✓	accuracy	89.5%	(+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64)))))
✓	accuracy	83.7%	(.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64)))
✓	accuracy	73.6%	(sqrt.f64 (.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64))))
✓	accuracy	100.0%	(neg.f64 b_2)
✓	accuracy	100.0%	(+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))
✓	accuracy	99.8%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
✓	accuracy	86.2%	(sqrt.f64 (*.f64 a (neg.f64 c)))
✓	accuracy	100.0%	(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
✓	accuracy	100.0%	(+.f64 (neg.f64 b_2) b_2)
✓	accuracy	100.0%	(neg.f64 b_2)
✓	accuracy	100.0%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
✓	accuracy	100.0%	(*.f64 b_2 #s(literal -2 binary64))
✓	accuracy	98.0%	(fma.f64 b_2 b_2 (*.f64 a c))
✓	accuracy	95.5%	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64))) a)
✓	accuracy	89.5%	(+.f64 (neg.f64 b_2) (pow.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64)))
✓	accuracy	58.0%	(pow.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64))

Samples

61.0ms	131×	0	valid
22.0ms	79×	0	invalid
17.0ms	20×	2	valid
10.0ms	17×	1	valid
10.0ms	8×	3	valid
1.0ms	1×	4	valid

Compiler

Compiled 233 to 33 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-mult: 42.0ms (45.6% of total)

ival-pow: 17.0ms (18.4% of total)

ival-div: 14.0ms (15.2% of total)

ival-add: 9.0ms (9.8% of total)

ival-sqrt: 4.0ms (4.3% of total)

ival-neg: 3.0ms (3.3% of total)

adjust: 2.0ms (2.2% of total)

exact: 1.0ms (1.1% of total)

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

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

series148.0ms (1.6%)

Memory

7.3MiB live, 254.8MiB allocated

Counts

17 → 492

Calls

Call 1

Inputs
#<alt (+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4))>
#<alt (/ (+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)) a)>
#<alt (neg b_2)>
#<alt (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)>
#<alt (/ (* b_2 -2) a)>
#<alt (* b_2 -2)>
#<alt (/ (+ (neg b_2) b_2) a)>
#<alt (+ (neg b_2) b_2)>
#<alt (+ (neg b_2) (sqrt (* a (neg c))))>
#<alt (/ (+ (neg b_2) (sqrt (* a (neg c)))) a)>
#<alt (sqrt (* a (neg c)))>
#<alt (* (* b_2 b_2) (+ (* a (/ c (* b_2 (neg b_2)))) 1))>
#<alt (+ (neg b_2) (sqrt (* (* b_2 b_2) (+ (* a (/ c (* b_2 (neg b_2)))) 1))))>
#<alt (/ (+ (neg b_2) (sqrt (* (* b_2 b_2) (+ (* a (/ c (* b_2 (neg b_2)))) 1)))) a)>
#<alt (+ (* b_2 b_2) (* a c))>
#<alt (sqrt (* (* b_2 b_2) (+ (* a (/ c (* b_2 (neg b_2)))) 1)))>
#<alt (/ c (* b_2 (neg b_2)))>

Outputs
#<alt (sqrt (* a c))>
#<alt (+ (sqrt (* a c)) (* -1 b_2))>
#<alt (+ (sqrt (* a c)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) b_2)) 1)))>
#<alt (+ (sqrt (* a c)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* a c)))))) 1)))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (/ (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* 1/2 (* a c))) b_2)>
#<alt (/ (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (* 1/2 (* a c)))) b_2)>
#<alt (/ (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (* 1/2 (* a c))))) b_2)>
#<alt (* -2 b_2)>
#<alt (* -1 (* b_2 (+ 2 (* 1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2)))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2))))))))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))>
#<alt (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))>
#<alt (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow c 3) (pow b_2 5)))))))))>
#<alt (sqrt (* a c))>
#<alt (* a (+ (sqrt (/ c a)) (* -1 (/ b_2 a))))>
#<alt (* a (- (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) (/ b_2 a)))>
#<alt (* a (- (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))) (/ b_2 a)))>
#<alt (* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 2)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ a c)) (pow b_2 2)))) a)) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))>
#<alt (* 1/2 (/ (* a c) b_2))>
#<alt (* c (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* 1/2 (/ a b_2))))>
#<alt (* c (+ (* 1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))>
#<alt (* c (+ (* 1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow a 3) (pow b_2 5)))))))))>
#<alt (sqrt (* a c))>
#<alt (* c (+ (sqrt (/ a c)) (* -1 (/ b_2 c))))>
#<alt (* c (- (+ (sqrt (/ a c)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))) (/ b_2 c)))>
#<alt (* c (- (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))))) (/ b_2 c)))>
#<alt (* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 2)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c a)) (pow b_2 2)))) c)) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))>
#<alt (sqrt (/ c a))>
#<alt (+ (sqrt (/ c a)) (* -1 (/ b_2 a)))>
#<alt (+ (sqrt (/ c a)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) b_2)) (/ 1 a))))>
#<alt (+ (sqrt (/ c a)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* (pow a 3) c)))))) (/ 1 a))))>
#<alt (* 1/2 (/ c b_2))>
#<alt (/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)>
#<alt (/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c))) b_2)>
#<alt (/ (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c)))) b_2)>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))))>
#<alt (* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))>
#<alt (* 1/2 (/ c b_2))>
#<alt (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))>
#<alt (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))))))>
#<alt (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow c 3) (pow b_2 5))))))))>
#<alt (sqrt (/ c a))>
#<alt (+ (sqrt (/ c a)) (* -1 (/ b_2 a)))>
#<alt (+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))>
#<alt (+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))>
#<alt (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2)))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (pow b_2 2))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2))))) a))) a)))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* c (+ (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* 1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))>
#<alt (sqrt (/ c a))>
#<alt (* c (+ (sqrt (/ 1 (* a c))) (* -1 (/ b_2 (* a c)))))>
#<alt (* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))))))>
#<alt (* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2)))))))>
#<alt (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (pow b_2 2)))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (sqrt (* a c))>
#<alt (+ (sqrt (* a c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))))>
#<alt (+ (sqrt (* a c)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* a c)))))))>
#<alt (+ (sqrt (* a c)) (* (pow b_2 2) (+ (* 1/2 (sqrt (/ 1 (* a c)))) (* (pow b_2 2) (+ (* -1/8 (sqrt (/ 1 (* (pow a 3) (pow c 3))))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 2))))))))>
#<alt b_2>
#<alt (* b_2 (+ 1 (* 1/2 (/ (* a c) (pow b_2 2)))))>
#<alt (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2)))))))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* 1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2)))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2))))))))>
#<alt b_2>
#<alt (+ b_2 (* 1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))))>
#<alt (+ b_2 (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))>
#<alt (sqrt (* a c))>
#<alt (* a (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))>
#<alt (* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))>
#<alt (* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (pow b_2 6))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))))>
#<alt (* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))))>
#<alt b_2>
#<alt (+ b_2 (* 1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* c (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* 1/2 (/ a b_2)))))>
#<alt (+ b_2 (* c (+ (* 1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))>
#<alt (sqrt (* a c))>
#<alt (* c (+ (sqrt (/ a c)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))))>
#<alt (* c (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))))))>
#<alt (* c (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (pow b_2 6))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))))))>
#<alt (* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 (/ b_2 a))>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt (* -2 b_2)>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 b_2)>
#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))>
#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))>
#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))>
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))>
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (/ b_2 a))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a c))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (pow b_2 2)>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (* -1 (* a c))>
#<alt (* a (+ (* -1 c) (/ (pow b_2 2) a)))>
#<alt (* a (+ (* -1 c) (/ (pow b_2 2) a)))>
#<alt (* a (+ (* -1 c) (/ (pow b_2 2) a)))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))>
#<alt (* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))>
#<alt (* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))>
#<alt (pow b_2 2)>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (+ (* -1 (* a c)) (pow b_2 2))>
#<alt (* -1 (* a c))>
#<alt (* c (+ (* -1 a) (/ (pow b_2 2) c)))>
#<alt (* c (+ (* -1 a) (/ (pow b_2 2) c)))>
#<alt (* c (+ (* -1 a) (/ (pow b_2 2) c)))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))>
#<alt (* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))>
#<alt (* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 b_2)>
#<alt (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))>
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (* a (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 8))) (* 1/16 (/ (pow c 4) (pow b_2 8))))))) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))>
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))>
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (* b_2 (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 8))) (* 1/16 (/ (pow a 4) (pow b_2 8))))))) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))>
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))>
#<alt (* -1/2 (/ c b_2))>
#<alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))>
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (* a (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 8))) (* 1/16 (/ (pow c 4) (pow b_2 8))))))) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* b_2 (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 8))) (* 1/16 (/ (pow a 4) (pow b_2 8)))))) a)) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* a c)>
#<alt (+ (* a c) (pow b_2 2))>
#<alt (+ (* a c) (pow b_2 2))>
#<alt (+ (* a c) (pow b_2 2))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))>
#<alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))>
#<alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))>
#<alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))>
#<alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))>
#<alt (pow b_2 2)>
#<alt (+ (* a c) (pow b_2 2))>
#<alt (+ (* a c) (pow b_2 2))>
#<alt (+ (* a c) (pow b_2 2))>
#<alt (* a c)>
#<alt (* a (+ c (/ (pow b_2 2) a)))>
#<alt (* a (+ c (/ (pow b_2 2) a)))>
#<alt (* a (+ c (/ (pow b_2 2) a)))>
#<alt (* a c)>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))>
#<alt (pow b_2 2)>
#<alt (+ (* a c) (pow b_2 2))>
#<alt (+ (* a c) (pow b_2 2))>
#<alt (+ (* a c) (pow b_2 2))>
#<alt (* a c)>
#<alt (* c (+ a (/ (pow b_2 2) c)))>
#<alt (* c (+ a (/ (pow b_2 2) c)))>
#<alt (* c (+ a (/ (pow b_2 2) c)))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))>
#<alt b_2>
#<alt (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))>
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))>
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt b_2>
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))>
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>
#<alt (* -1 (/ c (pow b_2 2)))>

Calls

123 calls:

Time	Variable		Point	Expression
52.0ms	b_2	@	0	(+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4))
24.0ms	c	@	inf	(/ c (* b_2 (neg b_2)))
20.0ms	c	@	0	(+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4))
14.0ms	a	@	0	(+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4))
5.0ms	c	@	inf	(pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)

rewrite525.0ms (5.6%)

Memory

26.8MiB live, 655.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 738×	`accelerator-lowering-fma.f32`
8 738×	`accelerator-lowering-fma.f64`
4 372×	`/-lowering-/.f32`
4 372×	`/-lowering-/.f64`
3 860×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	164
1	191	147
2	1548	137
0	8329	133

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 817

Calls

Call 1

Inputs
(+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4))
(/ (+ (neg b_2) (pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)) a)
(neg b_2)
(pow (* (+ (* b_2 b_2) (* a c)) (+ (* b_2 b_2) (* a c))) 1/4)
(/ (* b_2 -2) a)
(* b_2 -2)
(/ (+ (neg b_2) b_2) a)
(+ (neg b_2) b_2)
(+ (neg b_2) (sqrt (* a (neg c))))
(/ (+ (neg b_2) (sqrt (* a (neg c)))) a)
(sqrt (* a (neg c)))
(* (* b_2 b_2) (+ (* a (/ c (* b_2 (neg b_2)))) 1))
(+ (neg b_2) (sqrt (* (* b_2 b_2) (+ (* a (/ c (* b_2 (neg b_2)))) 1))))
(/ (+ (neg b_2) (sqrt (* (* b_2 b_2) (+ (* a (/ c (* b_2 (neg b_2)))) 1)))) a)
(+ (* b_2 b_2) (* a c))
(sqrt (* (* b_2 b_2) (+ (* a (/ c (* b_2 (neg b_2)))) 1)))
(/ c (* b_2 (neg b_2)))

Outputs
(+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2))))
(+.f64 (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2))) (neg.f64 b_2))
(+.f64 #s(literal 0 binary64) (neg.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2))))))
(+.f64 (/.f64 (.f64 b_2 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))))) (neg.f64 (/.f64 (fma.f64 a c (.f64 b_2 b_2)) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2)))))))
(+.f64 (+.f64 (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2))) #s(literal 0 binary64)) (neg.f64 b_2))
(-.f64 (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2))) b_2)
(-.f64 #s(literal 0 binary64) (-.f64 b_2 (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2)))))
(-.f64 (/.f64 (.f64 b_2 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))))) (/.f64 (fma.f64 a c (.f64 b_2 b_2)) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))))))
(-.f64 (+.f64 (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2))) #s(literal 0 binary64)) b_2)
(-.f64 (/.f64 (fma.f64 a c (.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))) (neg.f64 b_2))) (/.f64 (.f64 b_2 b_2) (-.f64 (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))) (neg.f64 b_2))))
(fma.f64 b_2 #s(literal -1 binary64) (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2))))
(fma.f64 (.f64 b_2 b_2) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))))) (neg.f64 (/.f64 (fma.f64 a c (.f64 b_2 b_2)) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2)))))))
(fma.f64 (.f64 b_2 (neg.f64 b_2)) (/.f64 #s(literal 1 binary64) (neg.f64 b_2)) (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))))
(fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2))))
(fma.f64 (pow.f64 (fma.f64 a c (.f64 b_2 b_2)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 a c (.f64 b_2 b_2)) #s(literal 1/4 binary64)) (neg.f64 b_2))
(fma.f64 (+.f64 #s(literal 0 binary64) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (-.f64 b_2 b_2)))) (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2))))
(fma.f64 (pow.f64 (fma.f64 (.f64 b_2 b_2) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (.f64 (.f64 a c) (.f64 (.f64 a c) (.f64 a c)))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a c) (fma.f64 a c (.f64 b_2 (neg.f64 b_2))) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))) #s(literal 1/2 binary64)) (neg.f64 b_2))
(fma.f64 (pow.f64 (.f64 (fma.f64 a c (.f64 b_2 b_2)) (-.f64 (.f64 b_2 b_2) (.f64 a c))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))) #s(literal 1/2 binary64)) (neg.f64 b_2))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2))) b_2)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2))) b_2)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 a c (.f64 b_2 b_2)) (-.f64 (.f64 b_2 b_2) (.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2)))))) (fma.f64 (fma.f64 a c (.f64 b_2 b_2)) (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))) (.f64 b_2 (.f64 b_2 b_2)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))) (neg.f64 b_2)) (-.f64 (fma.f64 a c (.f64 b_2 b_2)) (*.f64 b_2 b_2))))
(/.f64 (fma.f64 (fma.f64 a c (.f64 b_2 b_2)) (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))) (.f64 b_2 (.f64 b_2 b_2))) (fma.f64 b_2 b_2 (+.f64 (fma.f64 a c (.f64 b_2 b_2)) (.f64 b_2 (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2)))))))
(/.f64 (fma.f64 (fma.f64 a c (.f64 b_2 b_2)) (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))) (.f64 b_2 (.f64 b_2 b_2))) (+.f64 (fma.f64 a c (.f64 b_2 b_2)) (-.f64 (.f64 b_2 b_2) (.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2)))))))
(/.f64 (fma.f64 (fma.f64 a c (.f64 b_2 b_2)) (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))) (.f64 b_2 (.f64 b_2 b_2))) (+.f64 (fma.f64 a c (.f64 b_2 b_2)) (fma.f64 b_2 b_2 (.f64 (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2))) b_2))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2))) b_2))))
(/.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 a c (.f64 b_2 b_2))) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2)))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 a c (.f64 b_2 b_2)) (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))) (.f64 b_2 (.f64 b_2 b_2)))) (neg.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 a c (.f64 b_2 b_2)) (.f64 b_2 (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2))))))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 a c (.f64 b_2 b_2)) (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))) (.f64 b_2 (.f64 b_2 b_2)))) (neg.f64 (+.f64 (fma.f64 a c (.f64 b_2 b_2)) (-.f64 (.f64 b_2 b_2) (.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))))))))
(/.f64 (neg.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 a c (.f64 b_2 b_2)))) (neg.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2))))))
(/.f64 (-.f64 (fma.f64 a c (.f64 b_2 b_2)) (.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2))) (neg.f64 b_2)))
(/.f64 (-.f64 (.f64 (.f64 b_2 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))))) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2)))) (fma.f64 a c (.f64 b_2 b_2)))) (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2)))) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 a c (.f64 b_2 b_2)) (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))) (.f64 b_2 (.f64 b_2 b_2))))) (neg.f64 (neg.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 a c (.f64 b_2 b_2)) (.f64 b_2 (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2)))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 a c (.f64 b_2 b_2))))) (neg.f64 (neg.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2)))))))
(/.f64 (neg.f64 (-.f64 (fma.f64 a c (.f64 b_2 b_2)) (.f64 b_2 b_2))) (neg.f64 (-.f64 (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2))) (neg.f64 b_2))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2)))) (-.f64 b_2 (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2)))) (.f64 #s(literal 0 binary64) (-.f64 b_2 (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 b_2 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 a c (.f64 b_2 b_2)) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 b_2 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))))) (/.f64 (.f64 b_2 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))))) (fma.f64 (/.f64 (fma.f64 a c (.f64 b_2 b_2)) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))))) (/.f64 (fma.f64 a c (.f64 b_2 b_2)) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))))) (.f64 (/.f64 (.f64 b_2 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))))) (/.f64 (fma.f64 a c (.f64 b_2 b_2)) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2)))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))) #s(literal 0 binary64)) #s(literal 3 binary64)) (.f64 b_2 (.f64 b_2 b_2))) (fma.f64 (+.f64 (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))) #s(literal 0 binary64)) (+.f64 (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))) #s(literal 0 binary64)) (fma.f64 b_2 b_2 (.f64 (+.f64 (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2))) #s(literal 0 binary64)) b_2))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2))) b_2)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))) b_2))
(.f64 (fma.f64 (fma.f64 a c (.f64 b_2 b_2)) (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (+.f64 (fma.f64 a c (.f64 b_2 b_2)) (.f64 b_2 (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))))))))
(.f64 (fma.f64 (fma.f64 a c (.f64 b_2 b_2)) (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 a c (.f64 b_2 b_2)) (-.f64 (.f64 b_2 b_2) (.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2))))))))
(.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 a c (.f64 b_2 b_2))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))))))
(.f64 (neg.f64 (fma.f64 (fma.f64 a c (.f64 b_2 b_2)) (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))) (.f64 b_2 (.f64 b_2 b_2)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 a c (.f64 b_2 b_2)) (.f64 b_2 (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2)))))))))
(.f64 (neg.f64 (-.f64 (.f64 b_2 b_2) (fma.f64 a c (.f64 b_2 b_2)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2)))))))
(.f64 (-.f64 (fma.f64 a c (.f64 b_2 b_2)) (.f64 b_2 b_2)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))) (neg.f64 b_2))))
(exp.f64 (.f64 (log.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))) b_2))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2))) b_2) (neg.f64 a)))
(-.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2)))) a))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2))) a) (/.f64 b_2 a))
(-.f64 (/.f64 (/.f64 (.f64 b_2 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))))) a) (/.f64 (/.f64 (fma.f64 a c (.f64 b_2 b_2)) (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2))))) a))
(-.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2))) #s(literal 0 binary64)) a) (/.f64 b_2 a))
(-.f64 (/.f64 (.f64 b_2 b_2) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2)))))) (/.f64 (fma.f64 a c (.f64 b_2 b_2)) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 a c (.f64 b_2 b_2)))))))
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2))) b_2) (neg.f64 a)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2))) b_2)) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a c (*.f64 b_2 b_2))) b_2) a)
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(/.f64 #s(literal 1 binary64) (/.f64 a (.f64 (fma.f64 b_2 (sqrt.f64 (fma.f64 c (/.f64 a (.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64))) (neg.f64 b_2)) #s(literal 1 binary64))))
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(/.f64 (fma.f64 b_2 (sqrt.f64 (fma.f64 c (/.f64 a (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64))) (neg.f64 b_2)) a)
(/.f64 (fma.f64 b_2 (sqrt.f64 (fma.f64 c (/.f64 a (.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64))) (neg.f64 b_2)) (.f64 a #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 b_2 (sqrt.f64 (fma.f64 c (/.f64 a (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64))) (neg.f64 b_2))) (neg.f64 a))
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(/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (/.f64 (.f64 c (.f64 c c)) (.f64 (.f64 b_2 b_2) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))) #s(literal 1 binary64)) (.f64 b_2 b_2))) (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))) (-.f64 #s(literal 1 binary64) (.f64 c (/.f64 a (*.f64 b_2 (neg.f64 b_2))))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))) #s(literal -1 binary64)) (.f64 b_2 b_2))) (sqrt.f64 (fma.f64 c (/.f64 a (*.f64 b_2 (neg.f64 b_2))) #s(literal -1 binary64))))
(pow.f64 (.f64 b_2 (fma.f64 b_2 (.f64 c (/.f64 a (*.f64 b_2 (neg.f64 b_2)))) b_2)) #s(literal 1/2 binary64))
(pow.f64 (.f64 b_2 (sqrt.f64 (fma.f64 c (/.f64 a (.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64)))) #s(literal 1 binary64))
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(.f64 b_2 (sqrt.f64 (fma.f64 c (/.f64 a (.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 c (/.f64 a (.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64))) b_2)
(.f64 (sqrt.f64 b_2) (sqrt.f64 (fma.f64 b_2 (.f64 c (/.f64 a (*.f64 b_2 (neg.f64 b_2)))) b_2)))
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(+.f64 (/.f64 #s(literal 0 binary64) (.f64 b_2 b_2)) (/.f64 c (.f64 b_2 (neg.f64 b_2))))
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(/.f64 (neg.f64 c) (*.f64 b_2 b_2))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 (neg.f64 b_2)) c))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 b_2 (neg.f64 b_2)) c))))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (/.f64 c (neg.f64 b_2))))
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(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 (/.f64 c b_2) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b_2 (neg.f64 b_2)) c)))
(/.f64 (/.f64 c b_2) (neg.f64 b_2))
(/.f64 (neg.f64 (neg.f64 c)) (*.f64 b_2 (neg.f64 b_2)))
(/.f64 (neg.f64 (/.f64 c b_2)) (neg.f64 (neg.f64 b_2)))
(/.f64 (/.f64 c (neg.f64 b_2)) b_2)
(/.f64 (.f64 c #s(literal 1 binary64)) (.f64 b_2 (neg.f64 b_2)))
(/.f64 (*.f64 (/.f64 c b_2) #s(literal -1 binary64)) b_2)
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(*.f64 (/.f64 c b_2) (/.f64 #s(literal 1 binary64) (neg.f64 b_2)))
(*.f64 (/.f64 c b_2) (/.f64 #s(literal -1 binary64) b_2))
(*.f64 (/.f64 c b_2) (/.f64 (/.f64 #s(literal 1 binary64) b_2) #s(literal -1 binary64)))
(.f64 (neg.f64 (neg.f64 c)) (/.f64 #s(literal -1 binary64) (.f64 b_2 b_2)))
(*.f64 (neg.f64 (/.f64 c b_2)) (/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 b_2))))
(*.f64 (/.f64 c (neg.f64 b_2)) (/.f64 #s(literal 1 binary64) b_2))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 b_2)) (/.f64 c b_2))
(*.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 c (neg.f64 b_2)))
(*.f64 (/.f64 #s(literal 1 binary64) b_2) (pow.f64 (/.f64 (neg.f64 b_2) c) #s(literal -1 binary64)))
(.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1 binary64))
(.f64 (.f64 c #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 b_2 b_2)))
(.f64 (.f64 (/.f64 c b_2) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b_2))
(*.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 c b_2))
(*.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 c (neg.f64 (neg.f64 b_2))))
(.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 b_2 b_2)))
(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) b_2) b_2))
(*.f64 (/.f64 c (neg.f64 (neg.f64 b_2))) (/.f64 #s(literal -1 binary64) b_2))
(.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 b_2 b_2)))
(.f64 (/.f64 c (.f64 (neg.f64 b_2) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) b_2))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 b_2) #s(literal -1 binary64))) (/.f64 c b_2))

simplify484.0ms (5.2%)

Memory

9.4MiB live, 862.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 130×	`accelerator-lowering-fma.f32`
13 130×	`accelerator-lowering-fma.f64`
8 442×	`-lowering-.f32`
8 442×	`-lowering-.f64`
5 748×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	877	7533
1	2841	7310
0	8449	7017

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

Calls

Call 1

Inputs
(sqrt (* a c))
(+ (sqrt (* a c)) (* -1 b_2))
(+ (sqrt (* a c)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) b_2)) 1)))
(+ (sqrt (* a c)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* a c)))))) 1)))
(* 1/2 (/ (* a c) b_2))
(/ (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* 1/2 (* a c))) b_2)
(/ (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (* 1/2 (* a c)))) b_2)
(/ (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (* 1/2 (* a c))))) b_2)
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* 1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2))))))))
(* 1/2 (/ (* a c) b_2))
(* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))
(* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow c 3) (pow b_2 5)))))))))
(sqrt (* a c))
(* a (+ (sqrt (/ c a)) (* -1 (/ b_2 a))))
(* a (- (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) (/ b_2 a)))
(* a (- (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))) (/ b_2 a)))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 2)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ a c)) (pow b_2 2)))) a)) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* 1/2 (/ (* a c) b_2))
(* c (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* 1/2 (/ a b_2))))
(* c (+ (* 1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* 1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow a 3) (pow b_2 5)))))))))
(sqrt (* a c))
(* c (+ (sqrt (/ a c)) (* -1 (/ b_2 c))))
(* c (- (+ (sqrt (/ a c)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))) (/ b_2 c)))
(* c (- (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))))) (/ b_2 c)))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))
(* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 2)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c a)) (pow b_2 2)))) c)) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(sqrt (/ c a))
(+ (sqrt (/ c a)) (* -1 (/ b_2 a)))
(+ (sqrt (/ c a)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) b_2)) (/ 1 a))))
(+ (sqrt (/ c a)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* (pow a 3) c)))))) (/ 1 a))))
(* 1/2 (/ c b_2))
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)
(/ (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c))) b_2)
(/ (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c)))) b_2)
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))))
(* 1/2 (/ c b_2))
(+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))
(+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* 1/16 (/ (pow c 3) (pow b_2 5))))))))
(sqrt (/ c a))
(+ (sqrt (/ c a)) (* -1 (/ b_2 a)))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2)))) a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (pow b_2 2))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2))))) a))) a)))
(* 1/2 (/ c b_2))
(* c (+ (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (+ (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* 1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(sqrt (/ c a))
(* c (+ (sqrt (/ 1 (* a c))) (* -1 (/ b_2 (* a c)))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))))))
(* c (+ (sqrt (/ 1 (* a c))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2)))))))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (pow b_2 2)))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(sqrt (* a c))
(+ (sqrt (* a c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))))
(+ (sqrt (* a c)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* a c)))))))
(+ (sqrt (* a c)) (* (pow b_2 2) (+ (* 1/2 (sqrt (/ 1 (* a c)))) (* (pow b_2 2) (+ (* -1/8 (sqrt (/ 1 (* (pow a 3) (pow c 3))))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 2))))))))
b_2
(* b_2 (+ 1 (* 1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2))))))
(* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2)))))))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* 1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2))))))))
b_2
(+ b_2 (* 1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))))
(+ b_2 (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(sqrt (* a c))
(* a (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))
(* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))
(* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (pow b_2 6))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))))
b_2
(+ b_2 (* 1/2 (/ (* a c) b_2)))
(+ b_2 (* c (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* 1/2 (/ a b_2)))))
(+ b_2 (* c (+ (* 1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(sqrt (* a c))
(* c (+ (sqrt (/ a c)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))))
(* c (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))))))
(* c (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (pow b_2 6))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))))))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(* -1 b_2)
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b_2 a))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* -1 (/ b_2 a))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a c))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* a (+ (* -1 c) (/ (pow b_2 2) a)))
(* a (+ (* -1 c) (/ (pow b_2 2) a)))
(* a (+ (* -1 c) (/ (pow b_2 2) a)))
(* -1 (* a c))
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a)))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(+ (* -1 (* a c)) (pow b_2 2))
(* -1 (* a c))
(* c (+ (* -1 a) (/ (pow b_2 2) c)))
(* c (+ (* -1 a) (/ (pow b_2 2) c)))
(* c (+ (* -1 a) (/ (pow b_2 2) c)))
(* -1 (* a c))
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(* -1/2 (/ (* a c) b_2))
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 b_2)
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1/2 (/ (* a c) b_2))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (* a (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 8))) (* 1/16 (/ (pow c 4) (pow b_2 8))))))) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1/2 (/ (* a c) b_2))
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (* b_2 (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 8))) (* 1/16 (/ (pow a 4) (pow b_2 8))))))) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (/ c b_2))
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)
(* -2 (/ b_2 a))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))
(* -1/2 (/ c b_2))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (* a (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 8))) (* 1/16 (/ (pow c 4) (pow b_2 8))))))) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(* -1/2 (/ c b_2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* b_2 (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 8))) (* 1/16 (/ (pow a 4) (pow b_2 8)))))) a)) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* a c)
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(pow b_2 2)
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(* a c)
(* a (+ c (/ (pow b_2 2) a)))
(* a (+ c (/ (pow b_2 2) a)))
(* a (+ c (/ (pow b_2 2) a)))
(* a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))
(pow b_2 2)
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(* a c)
(* c (+ a (/ (pow b_2 2) c)))
(* c (+ a (/ (pow b_2 2) c)))
(* c (+ a (/ (pow b_2 2) c)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))
(* -1 (/ c (pow b_2 2)))

Outputs
(sqrt (* a c))
(sqrt.f64 (*.f64 a c))
(+ (sqrt (* a c)) (* -1 b_2))
(-.f64 (sqrt.f64 (*.f64 a c)) b_2)
(+ (sqrt (* a c)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) b_2)) 1)))
(fma.f64 b_2 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 b_2 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))
(+ (sqrt (* a c)) (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* a c)))))) 1)))
(fma.f64 b_2 (fma.f64 b_2 (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (.f64 b_2 b_2)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))))) #s(literal -1 binary64)) (sqrt.f64 (.f64 a c)))
(* 1/2 (/ (* a c) b_2))
(/.f64 (.f64 c (.f64 a #s(literal 1/2 binary64))) b_2)
(/ (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* 1/2 (* a c))) b_2)
(/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) (/.f64 (.f64 c c) (.f64 b_2 b_2)) (.f64 c (.f64 a #s(literal 1/2 binary64)))) b_2)
(/ (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (* 1/2 (* a c)))) b_2)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 b_2 b_2)) (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 a (.f64 a a))) (/.f64 (.f64 c (.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) (.f64 c (*.f64 a #s(literal 1/2 binary64))))) b_2)
(/ (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (* 1/2 (* a c))))) b_2)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 5/64 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 b_2 b_2)) (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 a (.f64 a a))) (/.f64 (.f64 c (.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))) (.f64 c (*.f64 a #s(literal 1/2 binary64)))))) b_2)
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(* -1 (* b_2 (+ 2 (* 1/2 (/ (* a c) (pow b_2 2))))))
(neg.f64 (.f64 b_2 (fma.f64 a (.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b_2 b_2))) #s(literal 2 binary64))))
(* -1 (* b_2 (+ 2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2)))))))
(.f64 (fma.f64 a (.f64 #s(literal 1/2 binary64) (/.f64 c (.f64 b_2 b_2))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) (/.f64 (.f64 c c) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 2 binary64))) (neg.f64 b_2))
(* -1 (* b_2 (+ 2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2))))))))
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(neg.f64 (.f64 c (-.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (/.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (*.f64 b_2 b_2) #s(literal -1/2 binary64))) (/.f64 b_2 a)) c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (pow b_2 2)))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 2)))))
(.f64 (-.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (/.f64 (-.f64 (neg.f64 (/.f64 b_2 a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 c (.f64 a (.f64 a a))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (pow.f64 a #s(literal 5 binary64))))) (.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64)))) c)) c)) (neg.f64 c))
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(sqrt (* a c))
(sqrt.f64 (*.f64 a c))
(+ (sqrt (* a c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 2))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 #s(literal 1/2 binary64) (.f64 b_2 b_2)) (sqrt.f64 (.f64 a c)))
(+ (sqrt (* a c)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 2))) (* 1/2 (sqrt (/ 1 (* a c)))))))
(fma.f64 (.f64 b_2 b_2) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (.f64 b_2 b_2)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))))) (sqrt.f64 (*.f64 a c)))
(+ (sqrt (* a c)) (* (pow b_2 2) (+ (* 1/2 (sqrt (/ 1 (* a c)))) (* (pow b_2 2) (+ (* -1/8 (sqrt (/ 1 (* (pow a 3) (pow c 3))))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 2))))))))
(fma.f64 (.f64 b_2 b_2) (fma.f64 (.f64 b_2 b_2) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (.f64 (.f64 b_2 b_2) #s(literal 1/16 binary64)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))))) (sqrt.f64 (.f64 a c)))
b_2
(* b_2 (+ 1 (* 1/2 (/ (* a c) (pow b_2 2)))))
(.f64 b_2 (fma.f64 a (.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b_2 b_2))) #s(literal 1 binary64)))
(* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2))))))
(fma.f64 b_2 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) (/.f64 (.f64 c c) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (.f64 c (.f64 a #s(literal 1/2 binary64))) (.f64 b_2 b_2))) b_2)
(* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2)))))))
(fma.f64 b_2 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a (.f64 a (.f64 c c))) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 a (.f64 a a))) (/.f64 (.f64 c (.f64 c c)) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 (.f64 c (.f64 a #s(literal 1/2 binary64))) (*.f64 b_2 b_2)))) b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 (* b_2 (+ 1 (* 1/2 (/ (* a c) (pow b_2 2))))))
(neg.f64 (.f64 b_2 (fma.f64 a (.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b_2 b_2))) #s(literal 1 binary64))))
(* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2)))))))
(neg.f64 (fma.f64 b_2 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) (/.f64 (.f64 c c) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (.f64 c (.f64 a #s(literal 1/2 binary64))) (.f64 b_2 b_2))) b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (* 1/2 (/ (* a c) (pow b_2 2))))))))
(neg.f64 (fma.f64 b_2 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a (.f64 a (.f64 c c))) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 a (.f64 a a))) (/.f64 (.f64 c (.f64 c c)) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 (.f64 c (.f64 a #s(literal 1/2 binary64))) (*.f64 b_2 b_2)))) b_2))
b_2
(+ b_2 (* 1/2 (/ (* a c) b_2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) b_2)
(+ b_2 (* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c c))) (.f64 b_2 (*.f64 b_2 b_2)))) b_2)
(+ b_2 (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(fma.f64 a (fma.f64 a (fma.f64 a (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 c (.f64 c c))) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (.f64 b_2 (.f64 b_2 b_2)))) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2)) b_2)
(sqrt (* a c))
(sqrt.f64 (*.f64 a c))
(* a (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))
(.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 #s(literal 1/2 binary64) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 c a))))
(* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))))))
(.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 (pow.f64 b_2 #s(literal 4 binary64)) #s(literal -1/8 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 #s(literal 1/2 binary64) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 c a)))))
(* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (pow b_2 6))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))))
(.f64 a (+.f64 (sqrt.f64 (/.f64 c a)) (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (.f64 (pow.f64 b_2 #s(literal 6 binary64)) #s(literal 1/16 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 #s(literal 1/2 binary64) (*.f64 b_2 b_2)))))))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 a c))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (neg.f64 (sqrt.f64 (/.f64 c a)))) (neg.f64 a))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2))))))
(neg.f64 (.f64 a (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (neg.f64 (sqrt.f64 (/.f64 c a)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))))
(neg.f64 (.f64 a (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (neg.f64 (sqrt.f64 (/.f64 c a))))))))
b_2
(+ b_2 (* 1/2 (/ (* a c) b_2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) b_2)
(+ b_2 (* c (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* 1/2 (/ a b_2)))))
(fma.f64 c (fma.f64 #s(literal 1/2 binary64) (/.f64 a b_2) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 a c))) (.f64 b_2 (*.f64 b_2 b_2)))) b_2)
(+ b_2 (* c (+ (* 1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(fma.f64 c (fma.f64 c (fma.f64 (.f64 a (.f64 a a)) (.f64 (/.f64 c (pow.f64 b_2 #s(literal 5 binary64))) #s(literal 1/16 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) (.f64 b_2 (.f64 b_2 b_2)))) (/.f64 (.f64 #s(literal 1/2 binary64) a) b_2)) b_2)
(sqrt (* a c))
(sqrt.f64 (*.f64 a c))
(* c (+ (sqrt (/ a c)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))))
(.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 c c))))) (.f64 (.f64 b_2 b_2) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 a c))))
(* c (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))))))
(.f64 c (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 c c))))) (.f64 (.f64 b_2 b_2) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 a c)))))
(* c (+ (sqrt (/ a c)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (pow b_2 4))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (pow b_2 6))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2)))))))
(.f64 c (+.f64 (sqrt.f64 (/.f64 a c)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 c c))))) (.f64 (.f64 b_2 b_2) #s(literal 1/2 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 (pow.f64 b_2 #s(literal 6 binary64)) #s(literal 1/16 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) #s(literal -1/8 binary64)))))))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 a c))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 c c)))))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 a c)))) (neg.f64 c))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 c c)))))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 a c))))) (neg.f64 c))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 2))) (* (sqrt (/ a c)) (pow (sqrt -1) 2)))))))
(neg.f64 (.f64 c (fma.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) #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 (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_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 c c)))))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 a c))))))))
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 (/ b_2 a))
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
(* -2 b_2)
(*.f64 b_2 #s(literal -2 binary64))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
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#s(literal 0 binary64)
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
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(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(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_2 #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (sqrt.f64 #s(literal -1 binary64))) (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 b_2 b_2)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) b_2) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 b_2 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 c c))))) (.f64 (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64)) (.f64 (sqrt.f64 (/.f64 a c)) (.f64 (.f64 b_2 (*.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64)))) a)) a)))
(* -1/2 (/ c b_2))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(.f64 c (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a c) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 #s(literal -1/2 binary64) b_2)))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(.f64 c (fma.f64 c (fma.f64 (.f64 #s(literal -1/16 binary64) (.f64 a a)) (/.f64 c (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) a) (.f64 b_2 (.f64 b_2 b_2)))) (/.f64 #s(literal -1/2 binary64) b_2)))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* b_2 (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 8))) (* 1/16 (/ (pow a 4) (pow b_2 8)))))) a)) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 (.f64 b_2 c) (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)))) #s(literal 5/64 binary64)) a) (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 a a)) (pow.f64 b_2 #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal -1/8 binary64) a) (.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 #s(literal -1/2 binary64) b_2)))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 (*.f64 a (neg.f64 c)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 (.f64 a (neg.f64 c))))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(.f64 c (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64)))))) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 (*.f64 a (neg.f64 c)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 (*.f64 a c))) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(neg.f64 (.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (/.f64 b_2 a))) (neg.f64 c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 (neg.f64 c) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (neg.f64 (/.f64 b_2 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_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/8 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 b_2 b_2) (.f64 (sqrt.f64 (/.f64 c (.f64 a (.f64 a a)))) (sqrt.f64 #s(literal -1 binary64)))))) c)) c)))
(* a c)
(*.f64 a c)
(+ (* a c) (pow b_2 2))
(fma.f64 a c (*.f64 b_2 b_2))
(+ (* a c) (pow b_2 2))
(fma.f64 a c (*.f64 b_2 b_2))
(+ (* a c) (pow b_2 2))
(fma.f64 a c (*.f64 b_2 b_2))
(pow b_2 2)
(*.f64 b_2 b_2)
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 b_2)) #s(literal 1 binary64)))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 b_2)) #s(literal 1 binary64)))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 b_2)) #s(literal 1 binary64)))
(pow b_2 2)
(*.f64 b_2 b_2)
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 b_2)) #s(literal 1 binary64)))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 b_2)) #s(literal 1 binary64)))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 b_2)) #s(literal 1 binary64)))
(pow b_2 2)
(*.f64 b_2 b_2)
(+ (* a c) (pow b_2 2))
(fma.f64 a c (*.f64 b_2 b_2))
(+ (* a c) (pow b_2 2))
(fma.f64 a c (*.f64 b_2 b_2))
(+ (* a c) (pow b_2 2))
(fma.f64 a c (*.f64 b_2 b_2))
(* a c)
(*.f64 a c)
(* a (+ c (/ (pow b_2 2) a)))
(.f64 a (+.f64 c (/.f64 (.f64 b_2 b_2) a)))
(* a (+ c (/ (pow b_2 2) a)))
(.f64 a (+.f64 c (/.f64 (.f64 b_2 b_2) a)))
(* a (+ c (/ (pow b_2 2) a)))
(.f64 a (+.f64 c (/.f64 (.f64 b_2 b_2) a)))
(* a c)
(*.f64 a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))
(neg.f64 (.f64 a (-.f64 (neg.f64 c) (/.f64 (.f64 b_2 b_2) a))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))
(neg.f64 (.f64 a (-.f64 (neg.f64 c) (/.f64 (.f64 b_2 b_2) a))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))
(neg.f64 (.f64 a (-.f64 (neg.f64 c) (/.f64 (.f64 b_2 b_2) a))))
(pow b_2 2)
(*.f64 b_2 b_2)
(+ (* a c) (pow b_2 2))
(fma.f64 a c (*.f64 b_2 b_2))
(+ (* a c) (pow b_2 2))
(fma.f64 a c (*.f64 b_2 b_2))
(+ (* a c) (pow b_2 2))
(fma.f64 a c (*.f64 b_2 b_2))
(* a c)
(*.f64 a c)
(* c (+ a (/ (pow b_2 2) c)))
(.f64 c (+.f64 a (/.f64 (.f64 b_2 b_2) c)))
(* c (+ a (/ (pow b_2 2) c)))
(.f64 c (+.f64 a (/.f64 (.f64 b_2 b_2) c)))
(* c (+ a (/ (pow b_2 2) c)))
(.f64 c (+.f64 a (/.f64 (.f64 b_2 b_2) c)))
(* a c)
(*.f64 a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
(neg.f64 (.f64 c (-.f64 (neg.f64 a) (/.f64 (.f64 b_2 b_2) c))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
(neg.f64 (.f64 c (-.f64 (neg.f64 a) (/.f64 (.f64 b_2 b_2) c))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
(neg.f64 (.f64 c (-.f64 (neg.f64 a) (/.f64 (.f64 b_2 b_2) c))))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(fma.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(fma.f64 (.f64 b_2 b_2) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (/.f64 (.f64 b_2 b_2) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(fma.f64 (.f64 b_2 b_2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 b_2 b_2) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (.f64 (/.f64 (.f64 b_2 b_2) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)))))) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(fma.f64 (/.f64 (.f64 a c) (.f64 b_2 b_2)) (*.f64 #s(literal -1/2 binary64) b_2) b_2)
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(fma.f64 b_2 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) (/.f64 (.f64 c c) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (.f64 b_2 b_2))) b_2)
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(fma.f64 b_2 (fma.f64 (.f64 #s(literal -1/16 binary64) (.f64 a (.f64 a a))) (/.f64 (.f64 c (.f64 c c)) (pow.f64 b_2 #s(literal 6 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) (/.f64 (.f64 c c) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2)))) b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(.f64 (fma.f64 a (.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 b_2))) #s(literal 1 binary64)) (neg.f64 b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) (/.f64 (.f64 c c) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 a (.f64 #s(literal -1/2 binary64) (/.f64 c (.f64 b_2 b_2))) #s(literal 1 binary64))) (neg.f64 b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(neg.f64 (fma.f64 b_2 (fma.f64 (.f64 #s(literal -1/16 binary64) (.f64 a (.f64 a a))) (/.f64 (.f64 c (.f64 c c)) (pow.f64 b_2 #s(literal 6 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) (/.f64 (.f64 c c) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2)))) b_2))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 c b_2) b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(fma.f64 a (fma.f64 a (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)) b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(fma.f64 a (fma.f64 a (fma.f64 a (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 c (.f64 c c))) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (.f64 b_2 (.f64 b_2 b_2)))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(.f64 a (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(.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_2 #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 a (fma.f64 #s(literal 1/16 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 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 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_2 #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(.f64 (neg.f64 a) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 b_2 b_2) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(neg.f64 (.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_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 b_2 b_2) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
(.f64 (neg.f64 a) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/16 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 (pow.f64 b_2 #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 b_2 b_2) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 c b_2) b_2)
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(fma.f64 c (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a (.f64 a c)) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2)) b_2)
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(fma.f64 c (fma.f64 c (fma.f64 (.f64 a (.f64 a a)) (.f64 (/.f64 c (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) (.f64 b_2 (.f64 b_2 b_2)))) (/.f64 (.f64 #s(literal -1/2 binary64) a) b_2)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(.f64 c (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 c c))))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 c c))))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 c (fma.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 c c))))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 c c))))) (.f64 (.f64 b_2 (.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(neg.f64 (.f64 c (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 c c))))) (.f64 (.f64 b_2 (.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(.f64 (neg.f64 c) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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_2 #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 c c))))) (.f64 (.f64 b_2 (.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))))
(* -1 (/ c (pow b_2 2)))
(/.f64 c (*.f64 (neg.f64 b_2) b_2))
(* -1 (/ c (pow b_2 2)))
(/.f64 c (*.f64 (neg.f64 b_2) b_2))
(* -1 (/ c (pow b_2 2)))
(/.f64 c (*.f64 (neg.f64 b_2) b_2))
(* -1 (/ c (pow b_2 2)))
(/.f64 c (*.f64 (neg.f64 b_2) b_2))
(* -1 (/ c (pow b_2 2)))
(/.f64 c (*.f64 (neg.f64 b_2) b_2))
(* -1 (/ c (pow b_2 2)))
(/.f64 c (*.f64 (neg.f64 b_2) b_2))
(* -1 (/ c (pow b_2 2)))
(/.f64 c (*.f64 (neg.f64 b_2) b_2))
(* -1 (/ c (pow b_2 2)))
(/.f64 c (*.f64 (neg.f64 b_2) b_2))
(* -1 (/ c (pow b_2 2)))
(/.f64 c (*.f64 (neg.f64 b_2) b_2))
(* -1 (/ c (pow b_2 2)))
(/.f64 c (*.f64 (neg.f64 b_2) b_2))
(* -1 (/ c (pow b_2 2)))
(/.f64 c (*.f64 (neg.f64 b_2) b_2))
(* -1 (/ c (pow b_2 2)))
(/.f64 c (*.f64 (neg.f64 b_2) b_2))
(* -1 (/ c (pow b_2 2)))
(/.f64 c (*.f64 (neg.f64 b_2) b_2))
(* -1 (/ c (pow b_2 2)))
(/.f64 c (*.f64 (neg.f64 b_2) b_2))
(* -1 (/ c (pow b_2 2)))
(/.f64 c (*.f64 (neg.f64 b_2) b_2))
(* -1 (/ c (pow b_2 2)))
(/.f64 c (*.f64 (neg.f64 b_2) b_2))
(* -1 (/ c (pow b_2 2)))
(/.f64 c (*.f64 (neg.f64 b_2) b_2))
(* -1 (/ c (pow b_2 2)))
(/.f64 c (*.f64 (neg.f64 b_2) b_2))
(* -1 (/ c (pow b_2 2)))
(/.f64 c (*.f64 (neg.f64 b_2) b_2))
(* -1 (/ c (pow b_2 2)))
(/.f64 c (*.f64 (neg.f64 b_2) b_2))
(* -1 (/ c (pow b_2 2)))
(/.f64 c (*.f64 (neg.f64 b_2) b_2))
(* -1 (/ c (pow b_2 2)))
(/.f64 c (*.f64 (neg.f64 b_2) b_2))
(* -1 (/ c (pow b_2 2)))
(/.f64 c (*.f64 (neg.f64 b_2) b_2))
(* -1 (/ c (pow b_2 2)))
(/.f64 c (*.f64 (neg.f64 b_2) b_2))

eval221.0ms (2.4%)

Memory: -11.6MiB live, 313.9MiB allocated
Compiler: Compiled 37 174 to 4 436 computations (88.1% saved)

prune183.0ms (2%)

Memory

24.8MiB live, 337.5MiB allocated

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	1 532	18	1 550
Fresh	4	1	5
Picked	4	1	5
Done	0	1	1
Total	1 540	21	1 561

Accuracy

99.9%

Counts

1 561 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.7%	(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (/.f64 a (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64))) b_2 (neg.f64 b_2)) a)
	19.1%	(/.f64 (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) (neg.f64 b_2)) a)
	21.9%	(/.f64 (fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c) (neg.f64 b_2)) a)
▶	32.0%	(/.f64 (fma.f64 a c (.f64 b_2 b_2)) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a))))))
	35.6%	(/.f64 (/.f64 (fma.f64 a c (.f64 b_2 b_2)) a) (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))))
	36.6%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)))
	36.6%	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
	2.6%	(/.f64 (+.f64 (+.f64 #s(literal 0 binary64) b_2) b_2) a)
▶	2.5%	(/.f64 (+.f64 (.f64 (.f64 b_2 (neg.f64 b_2)) (/.f64 #s(literal 1 binary64) (neg.f64 b_2))) b_2) a)
	2.6%	(/.f64 (+.f64 (neg.f64 b_2) (/.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))) #s(literal -1 binary64)) (.f64 b_2 b_2))) (sqrt.f64 (fma.f64 c (/.f64 a (*.f64 b_2 (neg.f64 b_2))) #s(literal -1 binary64))))) a)
✓	52.8%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
▶	9.4%	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
	34.8%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	35.7%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
	16.2%	(/.f64 (neg.f64 b_2) a)
	36.6%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)))
	35.6%	(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
	31.9%	(.f64 (fma.f64 a c (.f64 b_2 b_2)) (/.f64 #s(literal 1 binary64) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))))))
▶	36.6%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2))
	35.6%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
▶	9.7%	#s(literal 0 binary64)

Compiler

Compiled 574 to 374 computations (34.8% saved)

simplify303.0ms (3.2%)

Memory

4.5MiB live, 236.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))))
✓	cost-diff	0	(*.f64 b_2 b_2)
✓	cost-diff	0	(fma.f64 a c (*.f64 b_2 b_2))
✓	cost-diff	0	(/.f64 (fma.f64 a c (.f64 b_2 b_2)) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a))))))
✓	cost-diff	0	(+.f64 (.f64 (.f64 b_2 (neg.f64 b_2)) (/.f64 #s(literal 1 binary64) (neg.f64 b_2))) b_2)
✓	cost-diff	0	(/.f64 (+.f64 (.f64 (.f64 b_2 (neg.f64 b_2)) (/.f64 #s(literal 1 binary64) (neg.f64 b_2))) b_2) a)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (neg.f64 b_2))
✓	cost-diff	1472	(.f64 (.f64 b_2 (neg.f64 b_2)) (/.f64 #s(literal 1 binary64) (neg.f64 b_2)))
✓	cost-diff	0	(*.f64 c #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
✓	cost-diff	0	(sqrt.f64 (*.f64 c (neg.f64 a)))
✓	cost-diff	0	(-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) a)
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2))

Rules

5 098×	`accelerator-lowering-fma.f32`
5 098×	`accelerator-lowering-fma.f64`
4 564×	`-lowering-.f32`
4 564×	`-lowering-.f64`
1 322×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	148
1	59	133
2	149	129
3	429	129
4	1347	129
5	3143	129
6	5382	129
7	6977	129
0	8219	127

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ 1 a) (- (sqrt (* c (neg a))) b_2))
(/ 1 a)
1
a
(- (sqrt (* c (neg a))) b_2)
(sqrt (* c (neg a)))
(* c (neg a))
c
(neg a)
b_2
0
(/ (* c 1/2) b_2)
(* c 1/2)
c
1/2
b_2
(/ (+ (* (* b_2 (neg b_2)) (/ 1 (neg b_2))) b_2) a)
(+ (* (* b_2 (neg b_2)) (/ 1 (neg b_2))) b_2)
(* (* b_2 (neg b_2)) (/ 1 (neg b_2)))
(* b_2 (neg b_2))
b_2
(neg b_2)
(/ 1 (neg b_2))
1
a
(/ (+ (* a c) (* b_2 b_2)) (* a (- (neg b_2) (sqrt (* c (neg a))))))
(+ (* a c) (* b_2 b_2))
a
c
(* b_2 b_2)
b_2
(* a (- (neg b_2) (sqrt (* c (neg a)))))
(- (neg b_2) (sqrt (* c (neg a))))
(neg b_2)
(sqrt (* c (neg a)))
(* c (neg a))
(neg a)

Outputs
(* (/ 1 a) (- (sqrt (* c (neg a))) b_2))
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
a
(- (sqrt (* c (neg a))) b_2)
(-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)
(sqrt (* c (neg a)))
(sqrt.f64 (*.f64 a (neg.f64 c)))
(* c (neg a))
(*.f64 a (neg.f64 c))
c
(neg a)
(neg.f64 a)
b_2
0
#s(literal 0 binary64)
(/ (* c 1/2) b_2)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(* c 1/2)
(*.f64 c #s(literal 1/2 binary64))
c
1/2
#s(literal 1/2 binary64)
b_2
(/ (+ (* (* b_2 (neg b_2)) (/ 1 (neg b_2))) b_2) a)
(/.f64 (+.f64 b_2 b_2) a)
(+ (* (* b_2 (neg b_2)) (/ 1 (neg b_2))) b_2)
(+.f64 b_2 b_2)
(* (* b_2 (neg b_2)) (/ 1 (neg b_2)))
b_2
(* b_2 (neg b_2))
(neg.f64 (*.f64 b_2 b_2))
b_2
(neg b_2)
(neg.f64 b_2)
(/ 1 (neg b_2))
(/.f64 #s(literal -1 binary64) b_2)
1
#s(literal 1 binary64)
a
(/ (+ (* a c) (* b_2 b_2)) (* a (- (neg b_2) (sqrt (* c (neg a))))))
(/.f64 (fma.f64 a c (.f64 b_2 b_2)) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))))
(+ (* a c) (* b_2 b_2))
(fma.f64 a c (*.f64 b_2 b_2))
a
c
(* b_2 b_2)
(*.f64 b_2 b_2)
b_2
(* a (- (neg b_2) (sqrt (* c (neg a)))))
(.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 a (neg.f64 c)))))
(- (neg b_2) (sqrt (* c (neg a))))
(-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))
(neg b_2)
(neg.f64 b_2)
(sqrt (* c (neg a)))
(sqrt.f64 (*.f64 a (neg.f64 c)))
(* c (neg a))
(*.f64 a (neg.f64 c))
(neg a)
(neg.f64 a)

localize85.0ms (0.9%)

Memory

-16.8MiB live, 118.7MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a))))
✓	accuracy	99.9%	(.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))))
✓	accuracy	86.2%	(sqrt.f64 (*.f64 c (neg.f64 a)))
✓	accuracy	75.7%	(/.f64 (fma.f64 a c (.f64 b_2 b_2)) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a))))))
✓	accuracy	100.0%	(+.f64 (.f64 (.f64 b_2 (neg.f64 b_2)) (/.f64 #s(literal 1 binary64) (neg.f64 b_2))) b_2)
✓	accuracy	100.0%	(*.f64 b_2 (neg.f64 b_2))
✓	accuracy	100.0%	(neg.f64 b_2)
✓	accuracy	64.2%	(.f64 (.f64 b_2 (neg.f64 b_2)) (/.f64 #s(literal 1 binary64) (neg.f64 b_2)))
✓	accuracy	100.0%	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
✓	accuracy	100.0%	(*.f64 c #s(literal 1/2 binary64))
✓	accuracy	100.0%	(neg.f64 a)
✓	accuracy	100.0%	(-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)
✓	accuracy	99.8%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2))
✓	accuracy	86.2%	(sqrt.f64 (*.f64 c (neg.f64 a)))

Samples

39.0ms	177×	0	valid
14.0ms	79×	0	invalid

Compiler

Compiled 156 to 28 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-div: 14.0ms (40.2% of total)

ival-mult: 12.0ms (34.5% of total)

ival-add: 2.0ms (5.7% of total)

ival-sub: 2.0ms (5.7% of total)

ival-sqrt: 2.0ms (5.7% of total)

ival-neg: 2.0ms (5.7% of total)

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.3%)

Memory

12.7MiB live, 51.3MiB allocated

Counts

18 → 396

Calls

Call 1

Inputs
#<alt (* (/ 1 a) (- (sqrt (* c (neg a))) b_2))>
#<alt (/ 1 a)>
#<alt (- (sqrt (* c (neg a))) b_2)>
#<alt (sqrt (* c (neg a)))>
#<alt (/ (* c 1/2) b_2)>
#<alt (* c 1/2)>
#<alt (* (* b_2 (neg b_2)) (/ 1 (neg b_2)))>
#<alt (/ 1 (neg b_2))>
#<alt (/ (+ (* (* b_2 (neg b_2)) (/ 1 (neg b_2))) b_2) a)>
#<alt (+ (* (* b_2 (neg b_2)) (/ 1 (neg b_2))) b_2)>
#<alt (/ (+ (* a c) (* b_2 b_2)) (* a (- (neg b_2) (sqrt (* c (neg a))))))>
#<alt (+ (* a c) (* b_2 b_2))>
#<alt (* b_2 b_2)>
#<alt (* a (- (neg b_2) (sqrt (* c (neg a)))))>
#<alt (neg a)>
#<alt (neg b_2)>
#<alt (* b_2 (neg b_2))>
#<alt (- (neg b_2) (sqrt (* c (neg a))))>

Outputs
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (/ b_2 a))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 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 a)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 b_2)>
#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))>
#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))>
#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))>
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))>
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (* 1/2 c)>
#<alt (* 1/2 c)>
#<alt (* 1/2 c)>
#<alt (* 1/2 c)>
#<alt (* 1/2 c)>
#<alt (* 1/2 c)>
#<alt (* 1/2 c)>
#<alt (* 1/2 c)>
#<alt (* 1/2 c)>
#<alt (* 1/2 c)>
#<alt (* 1/2 c)>
#<alt (* 1/2 c)>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt (/ -1 b_2)>
#<alt (/ -1 b_2)>
#<alt (/ -1 b_2)>
#<alt (/ -1 b_2)>
#<alt (/ -1 b_2)>
#<alt (/ -1 b_2)>
#<alt (/ -1 b_2)>
#<alt (/ -1 b_2)>
#<alt (/ -1 b_2)>
#<alt (/ -1 b_2)>
#<alt (/ -1 b_2)>
#<alt (/ -1 b_2)>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 (/ b_2 a))>
#<alt (* 2 b_2)>
#<alt (* 2 b_2)>
#<alt (* 2 b_2)>
#<alt (* 2 b_2)>
#<alt (* 2 b_2)>
#<alt (* 2 b_2)>
#<alt (* 2 b_2)>
#<alt (* 2 b_2)>
#<alt (* 2 b_2)>
#<alt (* 2 b_2)>
#<alt (* 2 b_2)>
#<alt (* 2 b_2)>
#<alt (* -1 (/ (pow b_2 2) (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1))))))>
#<alt (/ (+ (* -1 (/ (* a c) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))) a)>
#<alt (/ (+ (* -1 (/ (* a c) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))) a)>
#<alt (/ (+ (* -1 (/ (* a c) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))) a)>
#<alt (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1))))>
#<alt (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2))) a))) a)>
#<alt (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (/ (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2))) a)) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b_2 (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2)))) (sqrt -1))))) a)>
#<alt (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (/ (* (pow b_2 2) (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2)))) (* (pow a 2) (* c (pow (sqrt -1) 2))))) (+ (* -1 (/ (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2))) a)) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b_2 (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2)))) (sqrt -1)))))) a)>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))) (* a b_2)) a))) a))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))) (* a b_2))))) (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* a b_2)) a))) a))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow b_2 2) (- (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))) (* a b_2))) c) (* (sqrt (/ a c)) (* b_2 (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))) (* a b_2)))))) a)) (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* a b_2)) a))) a))>
#<alt (* -1 (/ (pow b_2 2) (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1))))))>
#<alt (+ (* -1 (/ c (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))))>
#<alt (+ (* -1 (/ c (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))))>
#<alt (+ (* -1 (/ c (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))))>
#<alt (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2)))) c)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (+ (* -1 (/ (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2)))) c)) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b_2 (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2))))) (sqrt -1)))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (+ (* -1 (/ (* (pow b_2 2) (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2))))) (* a (* (pow c 2) (pow (sqrt -1) 2))))) (+ (* -1 (/ (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2)))) c)) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b_2 (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2))))) (sqrt -1))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (- (+ (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))>
#<alt (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))) (/ (* b_2 c) a)))))) (* -1 (- (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))) (/ (* b_2 c) a)))) c)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (- (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))) (/ (* b_2 c) a))) (* -1 (/ (+ (* -1 (/ (* (pow b_2 2) (- (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))) (/ (* b_2 c) a))) a)) (* (sqrt (/ c a)) (* b_2 (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))) (/ (* b_2 c) a)))))) c))) c)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (/ b_2 (* a (pow (sqrt -1) 2))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* b_2 (+ (* -1 (* b_2 (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1))) (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* a (pow (sqrt -1) 2))))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* b_2 (+ (* b_2 (+ (* -1 (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1))) (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))))) (* (sqrt (/ 1 (* a c))) (/ (* b_2 (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1))) (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))))) (sqrt -1))))) (/ 1 (* a (pow (sqrt -1) 2))))))>
#<alt (* -1 (/ b_2 a))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* b_2 (- (+ (* -1 (/ (- c (* -1 (* c (pow (sqrt -1) 2)))) (pow b_2 2))) (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))>
#<alt (* b_2 (- (+ (* -1 (/ (- c (* -1 (* c (pow (sqrt -1) 2)))) (pow b_2 2))) (+ (* (sqrt (* a c)) (/ (* (sqrt -1) (- c (* -1 (* c (pow (sqrt -1) 2))))) (pow b_2 3))) (* (sqrt (/ c a)) (/ (sqrt -1) b_2)))) (/ 1 a)))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))>
#<alt (* -1 (* b_2 (+ (* -1 (/ (- (* -1 (/ (- c (* -1 (* c (pow (sqrt -1) 2)))) b_2)) (* -1 (* (sqrt (/ c a)) (sqrt -1)))) b_2)) (/ 1 a))))>
#<alt (* -1 (* b_2 (+ (* -1 (/ (- (* -1 (/ (- (+ c (* -1 (* (sqrt (* a c)) (/ (* (sqrt -1) (- c (* -1 (* c (pow (sqrt -1) 2))))) b_2)))) (* -1 (* c (pow (sqrt -1) 2)))) b_2)) (* -1 (* (sqrt (/ c a)) (sqrt -1)))) b_2)) (/ 1 a))))>
#<alt (pow b_2 2)>
#<alt (+ (* a c) (pow b_2 2))>
#<alt (+ (* a c) (pow b_2 2))>
#<alt (+ (* a c) (pow b_2 2))>
#<alt (* a c)>
#<alt (* a (+ c (/ (pow b_2 2) a)))>
#<alt (* a (+ c (/ (pow b_2 2) a)))>
#<alt (* a (+ c (/ (pow b_2 2) a)))>
#<alt (* a c)>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))>
#<alt (pow b_2 2)>
#<alt (+ (* a c) (pow b_2 2))>
#<alt (+ (* a c) (pow b_2 2))>
#<alt (+ (* a c) (pow b_2 2))>
#<alt (* a c)>
#<alt (* c (+ a (/ (pow b_2 2) c)))>
#<alt (* c (+ a (/ (pow b_2 2) c)))>
#<alt (* c (+ a (/ (pow b_2 2) c)))>
#<alt (* a c)>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))>
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))>
#<alt (* a c)>
#<alt (+ (* a c) (pow b_2 2))>
#<alt (+ (* a c) (pow b_2 2))>
#<alt (+ (* a c) (pow b_2 2))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))>
#<alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))>
#<alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))>
#<alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))>
#<alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))>
#<alt (* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))>
#<alt (* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))>
#<alt (* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))>
#<alt (* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))>
#<alt (* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))>
#<alt (* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))>
#<alt (* (sqrt (* (pow a 3) c)) (sqrt -1))>
#<alt (* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))>
#<alt (+ (* -1 (* a b_2)) (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))))>
#<alt (+ (* -1 (* a b_2)) (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))))>
#<alt (+ (* -1 (* a b_2)) (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))))>
#<alt (* -1 (* a b_2))>
#<alt (* b_2 (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))>
#<alt (* b_2 (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))>
#<alt (* b_2 (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))>
#<alt (* -1 (* a b_2))>
#<alt (* -1 (* b_2 (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))>
#<alt (* -1 (* b_2 (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))>
#<alt (* -1 (* b_2 (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))>
#<alt (* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))>
#<alt (* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))>
#<alt (* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))>
#<alt (* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))>
#<alt (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))>
#<alt (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (* a b_2) c))))>
#<alt (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (* a b_2) c))))>
#<alt (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (* a b_2) c))))>
#<alt (* (sqrt (* (pow a 3) c)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c))))>
#<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 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 (pow b_2 2))>
#<alt (* -1 (pow b_2 2))>
#<alt (* -1 (pow b_2 2))>
#<alt (* -1 (pow b_2 2))>
#<alt (* -1 (pow b_2 2))>
#<alt (* -1 (pow b_2 2))>
#<alt (* -1 (pow b_2 2))>
#<alt (* -1 (pow b_2 2))>
#<alt (* -1 (pow b_2 2))>
#<alt (* -1 (pow b_2 2))>
#<alt (* -1 (pow b_2 2))>
#<alt (* -1 (pow b_2 2))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 b_2)>
#<alt (* b_2 (- (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) 1))>
#<alt (* b_2 (- (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) 1))>
#<alt (* b_2 (- (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) 1))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))>
#<alt (* -1 (* b_2 (+ 1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))>
#<alt (* -1 (* b_2 (+ 1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))>
#<alt (* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))>
#<alt (* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))>
#<alt (* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))>
#<alt (* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))>
#<alt (* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))>
#<alt (* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))>
#<alt (* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))>
#<alt (* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))>

Calls

99 calls:

Time	Variable		Point	Expression
5.0ms	a	@	-inf	(/ (+ (* a c) (* b_2 b_2)) (* a (- (neg b_2) (sqrt (* c (neg a))))))
1.0ms	c	@	inf	(/ (+ (* a c) (* b_2 b_2)) (* a (- (neg b_2) (sqrt (* c (neg a))))))
1.0ms	a	@	inf	(/ (+ (* a c) (* b_2 b_2)) (* a (- (neg b_2) (sqrt (* c (neg a))))))
1.0ms	c	@	-inf	(/ (+ (* a c) (* b_2 b_2)) (* a (- (neg b_2) (sqrt (* c (neg a))))))
1.0ms	a	@	0	(/ (+ (* a c) (* b_2 b_2)) (* a (- (neg b_2) (sqrt (* c (neg a))))))

rewrite79.0ms (0.8%)

Memory

-13.8MiB live, 105.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

894×	`accelerator-lowering-fma.f32`
894×	`accelerator-lowering-fma.f64`
634×	`-lowering-.f32`
634×	`-lowering-.f64`
522×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	119
1	139	98
0	1172	96

Stop Event

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

Counts

18 → 314

Calls

Call 1

Inputs
(* (/ 1 a) (- (sqrt (* c (neg a))) b_2))
(/ 1 a)
(- (sqrt (* c (neg a))) b_2)
(sqrt (* c (neg a)))
(/ (* c 1/2) b_2)
(* c 1/2)
(* (* b_2 (neg b_2)) (/ 1 (neg b_2)))
(/ 1 (neg b_2))
(/ (+ (* (* b_2 (neg b_2)) (/ 1 (neg b_2))) b_2) a)
(+ (* (* b_2 (neg b_2)) (/ 1 (neg b_2))) b_2)
(/ (+ (* a c) (* b_2 b_2)) (* a (- (neg b_2) (sqrt (* c (neg a))))))
(+ (* a c) (* b_2 b_2))
(* b_2 b_2)
(* a (- (neg b_2) (sqrt (* c (neg a)))))
(neg a)
(neg b_2)
(* b_2 (neg b_2))
(- (neg b_2) (sqrt (* c (neg a))))

Outputs
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (neg.f64 (.f64 a c)))) (*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 b_2)))
(+.f64 (.f64 (sqrt.f64 (neg.f64 (.f64 a c))) (/.f64 #s(literal 1 binary64) a)) (*.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) a)))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (neg.f64 (.f64 a c))) (.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 b_2)))
(fma.f64 (sqrt.f64 (neg.f64 (.f64 a c))) (/.f64 #s(literal 1 binary64) a) (.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) a)))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)))
(/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) a)
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 (.f64 a c)) (sqrt.f64 (neg.f64 (.f64 a c)))) (.f64 b_2 (.f64 b_2 b_2)))) (.f64 a (fma.f64 b_2 (+.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2) (neg.f64 (*.f64 a c)))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a c (.f64 b_2 b_2)))) (.f64 a (+.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2)))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 (.f64 (neg.f64 (.f64 a c)) (sqrt.f64 (neg.f64 (.f64 a c)))) (.f64 b_2 (.f64 b_2 b_2)))) (.f64 (neg.f64 a) (fma.f64 b_2 (+.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2) (neg.f64 (*.f64 a c)))))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 a c (.f64 b_2 b_2)))) (.f64 (neg.f64 a) (+.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2)))
(/.f64 (.f64 (-.f64 (.f64 (neg.f64 (.f64 a c)) (sqrt.f64 (neg.f64 (.f64 a c)))) (.f64 b_2 (.f64 b_2 b_2))) #s(literal 1 binary64)) (.f64 (fma.f64 b_2 (+.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2) (neg.f64 (*.f64 a c))) a))
(/.f64 (.f64 (-.f64 (.f64 (neg.f64 (.f64 a c)) (sqrt.f64 (neg.f64 (.f64 a c)))) (.f64 b_2 (.f64 b_2 b_2))) #s(literal -1 binary64)) (.f64 (fma.f64 b_2 (+.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2) (neg.f64 (*.f64 a c))) (neg.f64 a)))
(/.f64 (.f64 (neg.f64 (fma.f64 a c (.f64 b_2 b_2))) #s(literal 1 binary64)) (.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2) a))
(/.f64 (.f64 (neg.f64 (fma.f64 a c (.f64 b_2 b_2))) #s(literal -1 binary64)) (.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2) (neg.f64 a)))
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)) (neg.f64 a))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (.f64 (neg.f64 (.f64 a c)) (sqrt.f64 (neg.f64 (.f64 a c)))) (.f64 b_2 (.f64 b_2 b_2)))) (fma.f64 b_2 (+.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2) (neg.f64 (.f64 a c))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 (fma.f64 a c (.f64 b_2 b_2)))) (+.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2))
(/.f64 (.f64 (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2) #s(literal -1 binary64)) (neg.f64 a))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2)) (neg.f64 a))
(/.f64 (.f64 (-.f64 (.f64 (neg.f64 (.f64 a c)) (sqrt.f64 (neg.f64 (.f64 a c)))) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 #s(literal 1 binary64) a)) (fma.f64 b_2 (+.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2) (neg.f64 (.f64 a c))))
(/.f64 (.f64 (neg.f64 (fma.f64 a c (.f64 b_2 b_2))) (/.f64 #s(literal 1 binary64) a)) (+.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2))
(.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2) a))
(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2))
(.f64 (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2) (/.f64 #s(literal 1 binary64) a))
(exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) a))
(/.f64 #s(literal 1 binary64) a)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 a)))
(/.f64 #s(literal -1 binary64) (neg.f64 a))
(pow.f64 a #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) a))
(*.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 a)))
(*.f64 (pow.f64 a #s(literal -1/2 binary64)) (pow.f64 a #s(literal -1/2 binary64)))
(+.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) (neg.f64 b_2))
(+.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c))))
(+.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (.f64 a c)))) (*.f64 #s(literal 1 binary64) (neg.f64 b_2)))
(+.f64 (.f64 (sqrt.f64 (neg.f64 (.f64 a c))) #s(literal 1 binary64)) (neg.f64 b_2))
(-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)
(-.f64 #s(literal 0 binary64) (-.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))
(-.f64 (/.f64 (.f64 (neg.f64 (.f64 a c)) (sqrt.f64 (neg.f64 (.f64 a c)))) (fma.f64 b_2 (+.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2) (neg.f64 (.f64 a c)))) (/.f64 (.f64 b_2 (.f64 b_2 b_2)) (fma.f64 b_2 (+.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2) (neg.f64 (*.f64 a c)))))
(-.f64 (/.f64 (neg.f64 (.f64 a c)) (+.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2)) (/.f64 (.f64 b_2 b_2) (+.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2)))
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) #s(literal 0 binary64)) b_2)
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (.f64 a c))) (.f64 #s(literal 1 binary64) (neg.f64 b_2)))
(fma.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) #s(literal 1 binary64) (neg.f64 b_2))
(fma.f64 b_2 #s(literal -1 binary64) (sqrt.f64 (neg.f64 (*.f64 a c))))
(fma.f64 (neg.f64 b_2) #s(literal 1 binary64) (sqrt.f64 (neg.f64 (*.f64 a c))))
(fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))
(fma.f64 #s(literal -1 binary64) (/.f64 b_2 #s(literal 1 binary64)) (sqrt.f64 (neg.f64 (*.f64 a c))))
(fma.f64 (sqrt.f64 c) (sqrt.f64 (neg.f64 a)) (neg.f64 b_2))
(fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c) (neg.f64 b_2))
(fma.f64 (pow.f64 (neg.f64 (.f64 a c)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (.f64 a c)) #s(literal 1/4 binary64)) (neg.f64 b_2))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b_2 (+.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2) (neg.f64 (.f64 a c))) (-.f64 (.f64 (neg.f64 (.f64 a c)) (sqrt.f64 (neg.f64 (.f64 a c)))) (.f64 b_2 (*.f64 b_2 b_2)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2) (neg.f64 (fma.f64 a c (.f64 b_2 b_2)))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 a c)) (sqrt.f64 (neg.f64 (.f64 a c)))) (.f64 b_2 (.f64 b_2 b_2))) (fma.f64 b_2 (+.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2) (neg.f64 (*.f64 a c))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 a c)) (sqrt.f64 (neg.f64 (.f64 a c)))) (.f64 b_2 (.f64 b_2 b_2))) (fma.f64 a (neg.f64 c) (-.f64 (.f64 b_2 b_2) (.f64 (sqrt.f64 (neg.f64 (.f64 a c))) (neg.f64 b_2)))))
(/.f64 (neg.f64 (fma.f64 a c (.f64 b_2 b_2))) (+.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2))
(/.f64 (neg.f64 (fma.f64 a c (.f64 b_2 b_2))) (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) (neg.f64 b_2)))
(/.f64 (-.f64 (.f64 b_2 b_2) (neg.f64 (.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c)))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 (.f64 a c)) (sqrt.f64 (neg.f64 (.f64 a c)))) (.f64 b_2 (.f64 b_2 b_2)))) (fma.f64 b_2 (+.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2) (neg.f64 (.f64 a c))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a c (.f64 b_2 b_2)))) (+.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2))
(/.f64 (neg.f64 (-.f64 (.f64 (neg.f64 (.f64 a c)) (sqrt.f64 (neg.f64 (.f64 a c)))) (.f64 b_2 (.f64 b_2 b_2)))) (neg.f64 (fma.f64 b_2 (+.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2) (neg.f64 (*.f64 a c)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a c (.f64 b_2 b_2)))) (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (.f64 a c)))))
(/.f64 (fma.f64 (neg.f64 b_2) (.f64 b_2 b_2) (.f64 (neg.f64 (.f64 a c)) (sqrt.f64 (neg.f64 (.f64 a c))))) (fma.f64 b_2 b_2 (-.f64 (neg.f64 (.f64 a c)) (.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) (neg.f64 b_2)))))
(.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2))
(.f64 (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2) #s(literal 1 binary64))
(.f64 (-.f64 (.f64 (neg.f64 (.f64 a c)) (sqrt.f64 (neg.f64 (.f64 a c)))) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (+.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2) (neg.f64 (.f64 a c)))))
(.f64 (neg.f64 (fma.f64 a c (.f64 b_2 b_2))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)))
(exp.f64 (.f64 (log.f64 (neg.f64 (.f64 a c))) #s(literal 1/2 binary64)))
(sqrt.f64 (neg.f64 (*.f64 a c)))
(pow.f64 (neg.f64 (*.f64 a c)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 c) (sqrt.f64 (neg.f64 a)))
(*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))
(.f64 (pow.f64 (neg.f64 (.f64 a c)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (*.f64 a c)) #s(literal 1/4 binary64)))
(neg.f64 (/.f64 (*.f64 c #s(literal 1/2 binary64)) (neg.f64 b_2)))
(neg.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 c #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b_2 (*.f64 c #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b_2 (*.f64 c #s(literal 1/2 binary64)))))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) (neg.f64 b_2))
(/.f64 (neg.f64 (*.f64 c #s(literal -1/2 binary64))) b_2)
(/.f64 (.f64 (.f64 c #s(literal 1/2 binary64)) #s(literal 1 binary64)) b_2)
(/.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) #s(literal -1 binary64)) b_2)
(pow.f64 (/.f64 b_2 (*.f64 c #s(literal 1/2 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2))
(*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))
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(.f64 #s(literal -1 binary64) (neg.f64 (.f64 b_2 b_2)))
(.f64 (.f64 (neg.f64 (.f64 b_2 b_2)) (neg.f64 (.f64 b_2 b_2))) (*.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 #s(literal -1 binary64) b_2)))
(*.f64 (pow.f64 b_2 #s(literal 1 binary64)) (pow.f64 b_2 #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 #s(literal -1 binary64) b_2)) (.f64 (neg.f64 (.f64 b_2 b_2)) (neg.f64 (*.f64 b_2 b_2))))
(.f64 (.f64 b_2 (/.f64 #s(literal -1 binary64) b_2)) (neg.f64 (*.f64 b_2 b_2)))
(.f64 (.f64 b_2 (neg.f64 (*.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) b_2))
(.f64 (.f64 (neg.f64 b_2) #s(literal -1 binary64)) b_2)
(+.f64 (.f64 a (neg.f64 b_2)) (.f64 a (neg.f64 (sqrt.f64 (neg.f64 (*.f64 a c))))))
(+.f64 (.f64 (neg.f64 b_2) a) (.f64 (neg.f64 (sqrt.f64 (neg.f64 (*.f64 a c)))) a))
(fma.f64 a (neg.f64 b_2) (.f64 a (neg.f64 (sqrt.f64 (neg.f64 (.f64 a c))))))
(fma.f64 (neg.f64 b_2) a (.f64 (neg.f64 (sqrt.f64 (neg.f64 (.f64 a c)))) a))
(/.f64 (.f64 a (-.f64 (neg.f64 (.f64 b_2 (.f64 b_2 b_2))) (.f64 (neg.f64 (.f64 a c)) (sqrt.f64 (neg.f64 (.f64 a c)))))) (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (.f64 (sqrt.f64 (neg.f64 (.f64 a c))) (neg.f64 b_2)))))
(/.f64 (.f64 a (-.f64 (.f64 b_2 b_2) (neg.f64 (.f64 a c)))) (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2))
(/.f64 (.f64 (-.f64 (neg.f64 (.f64 b_2 (.f64 b_2 b_2))) (.f64 (neg.f64 (.f64 a c)) (sqrt.f64 (neg.f64 (.f64 a c))))) a) (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (.f64 (sqrt.f64 (neg.f64 (.f64 a c))) (neg.f64 b_2)))))
(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (neg.f64 (.f64 a c))) a) (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2))
(.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (.f64 a c)))))
(.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (.f64 a c)))) a)
(+.f64 #s(literal 0 binary64) (neg.f64 a))
(-.f64 #s(literal 0 binary64) a)
(neg.f64 a)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a))
(*.f64 a #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) a)
(+.f64 #s(literal 0 binary64) (neg.f64 b_2))
(-.f64 #s(literal 0 binary64) b_2)
(-.f64 #s(literal 0 binary64) (/.f64 b_2 #s(literal 1 binary64)))
(neg.f64 b_2)
(neg.f64 (/.f64 b_2 #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b_2))
(/.f64 b_2 #s(literal -1 binary64))
(/.f64 (neg.f64 b_2) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 b_2 b_2)) (+.f64 #s(literal 0 binary64) b_2))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 b_2 (.f64 b_2 b_2))) (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2))))
(*.f64 b_2 #s(literal -1 binary64))
(*.f64 (neg.f64 b_2) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) b_2)
(*.f64 #s(literal -1 binary64) (/.f64 b_2 #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 b_2 b_2))
(neg.f64 (*.f64 b_2 b_2))
(.f64 #s(literal 1 binary64) (neg.f64 (.f64 b_2 b_2)))
(*.f64 b_2 (neg.f64 b_2))
(*.f64 (neg.f64 b_2) b_2)
(.f64 (neg.f64 (.f64 b_2 b_2)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 b_2 b_2))
(+.f64 (neg.f64 b_2) (neg.f64 (sqrt.f64 (neg.f64 (*.f64 a c)))))
(+.f64 (neg.f64 (sqrt.f64 (neg.f64 (*.f64 a c)))) (neg.f64 b_2))
(-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c))))
(-.f64 #s(literal 0 binary64) (+.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2))
(-.f64 #s(literal 0 binary64) (-.f64 b_2 (neg.f64 (sqrt.f64 (neg.f64 (*.f64 a c))))))
(-.f64 (/.f64 (neg.f64 (.f64 b_2 (.f64 b_2 b_2))) (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (.f64 (sqrt.f64 (neg.f64 (.f64 a c))) (neg.f64 b_2))))) (/.f64 (.f64 (neg.f64 (.f64 a c)) (sqrt.f64 (neg.f64 (.f64 a c)))) (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) (neg.f64 b_2))))))
(-.f64 (/.f64 (.f64 b_2 b_2) (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2)) (/.f64 (neg.f64 (.f64 a c)) (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2)))
(fma.f64 b_2 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (neg.f64 (*.f64 a c)))))
(fma.f64 (neg.f64 b_2) #s(literal 1 binary64) (neg.f64 (sqrt.f64 (neg.f64 (*.f64 a c)))))
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (neg.f64 (*.f64 a c))) (neg.f64 b_2))
(fma.f64 #s(literal -1 binary64) b_2 (neg.f64 (sqrt.f64 (neg.f64 (*.f64 a c)))))
(fma.f64 #s(literal -1 binary64) (/.f64 b_2 #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (neg.f64 (*.f64 a c)))))
(fma.f64 (sqrt.f64 c) (neg.f64 (sqrt.f64 (neg.f64 a))) (neg.f64 b_2))
(fma.f64 (neg.f64 (sqrt.f64 c)) (sqrt.f64 (neg.f64 a)) (neg.f64 b_2))
(neg.f64 (+.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (.f64 (sqrt.f64 (neg.f64 (.f64 a c))) (neg.f64 b_2)))) (-.f64 (neg.f64 (.f64 b_2 (.f64 b_2 b_2))) (.f64 (neg.f64 (.f64 a c)) (sqrt.f64 (neg.f64 (*.f64 a c)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2) (-.f64 (.f64 b_2 b_2) (neg.f64 (*.f64 a c)))))
(/.f64 (-.f64 (neg.f64 (.f64 b_2 (.f64 b_2 b_2))) (.f64 (neg.f64 (.f64 a c)) (sqrt.f64 (neg.f64 (.f64 a c))))) (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) (neg.f64 b_2)))))
(/.f64 (-.f64 (.f64 b_2 b_2) (neg.f64 (.f64 a c))) (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2))
(/.f64 (neg.f64 (-.f64 (neg.f64 (.f64 b_2 (.f64 b_2 b_2))) (.f64 (neg.f64 (.f64 a c)) (sqrt.f64 (neg.f64 (.f64 a c)))))) (neg.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) (neg.f64 b_2))))))
(/.f64 (neg.f64 (-.f64 (.f64 b_2 b_2) (neg.f64 (.f64 a c)))) (neg.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)))
(/.f64 (fma.f64 (neg.f64 b_2) (.f64 b_2 b_2) (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 (.f64 a c)))) #s(literal 3 binary64))) (fma.f64 b_2 b_2 (-.f64 (.f64 (neg.f64 (sqrt.f64 (neg.f64 (.f64 a c)))) (neg.f64 (sqrt.f64 (neg.f64 (.f64 a c))))) (.f64 (neg.f64 b_2) (neg.f64 (sqrt.f64 (neg.f64 (*.f64 a c))))))))
(/.f64 (-.f64 (.f64 b_2 b_2) (.f64 (neg.f64 (sqrt.f64 (neg.f64 (.f64 a c)))) (neg.f64 (sqrt.f64 (neg.f64 (.f64 a c)))))) (-.f64 (neg.f64 b_2) (neg.f64 (sqrt.f64 (neg.f64 (*.f64 a c))))))
(.f64 (-.f64 (neg.f64 (.f64 b_2 (.f64 b_2 b_2))) (.f64 (neg.f64 (.f64 a c)) (sqrt.f64 (neg.f64 (.f64 a c))))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (.f64 (sqrt.f64 (neg.f64 (.f64 a c))) (neg.f64 b_2))))))
(.f64 (-.f64 (.f64 b_2 b_2) (neg.f64 (.f64 a c))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2)))

simplify389.0ms (4.2%)

Memory

22.1MiB live, 576.0MiB allocated

Algorithm

1×	egg-herbie

Rules

9 732×	`accelerator-lowering-fma.f32`
9 732×	`accelerator-lowering-fma.f64`
5 120×	`-lowering-.f32`
5 120×	`-lowering-.f64`
2 946×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	325	4147
1	1075	3934
2	3685	3738
0	8306	3596

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

Inputs
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b_2 a))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* -1 (/ b_2 a))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 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 a)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(* -1 b_2)
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 (/ c b_2))
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
(* 1/2 c)
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
b_2
(/ -1 b_2)
(/ -1 b_2)
(/ -1 b_2)
(/ -1 b_2)
(/ -1 b_2)
(/ -1 b_2)
(/ -1 b_2)
(/ -1 b_2)
(/ -1 b_2)
(/ -1 b_2)
(/ -1 b_2)
(/ -1 b_2)
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 (/ b_2 a))
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* 2 b_2)
(* -1 (/ (pow b_2 2) (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1))))))
(/ (+ (* -1 (/ (* a c) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))) a)
(/ (+ (* -1 (/ (* a c) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))) a)
(/ (+ (* -1 (/ (* a c) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))) a)
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2))) a))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (/ (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2))) a)) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b_2 (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2)))) (sqrt -1))))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (/ (* (pow b_2 2) (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2)))) (* (pow a 2) (* c (pow (sqrt -1) 2))))) (+ (* -1 (/ (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2))) a)) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b_2 (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2)))) (sqrt -1)))))) a)
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))) (* a b_2)) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))) (* a b_2))))) (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* a b_2)) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow b_2 2) (- (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))) (* a b_2))) c) (* (sqrt (/ a c)) (* b_2 (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))) (* a b_2)))))) a)) (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* a b_2)) a))) a))
(* -1 (/ (pow b_2 2) (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1))))))
(+ (* -1 (/ c (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))))
(+ (* -1 (/ c (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))))
(+ (* -1 (/ c (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2)))) c)))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (+ (* -1 (/ (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2)))) c)) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b_2 (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2))))) (sqrt -1)))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (+ (* -1 (/ (* (pow b_2 2) (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2))))) (* a (* (pow c 2) (pow (sqrt -1) 2))))) (+ (* -1 (/ (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2)))) c)) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b_2 (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2))))) (sqrt -1))))))
(* (sqrt (/ c a)) (sqrt -1))
(- (+ (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))
(+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))) (/ (* b_2 c) a)))))) (* -1 (- (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))) (/ (* b_2 c) a)))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (- (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))) (/ (* b_2 c) a))) (* -1 (/ (+ (* -1 (/ (* (pow b_2 2) (- (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))) (/ (* b_2 c) a))) a)) (* (sqrt (/ c a)) (* b_2 (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))) (/ (* b_2 c) a)))))) c))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (/ b_2 (* a (pow (sqrt -1) 2))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* b_2 (+ (* -1 (* b_2 (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1))) (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* a (pow (sqrt -1) 2))))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* b_2 (+ (* b_2 (+ (* -1 (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1))) (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))))) (* (sqrt (/ 1 (* a c))) (/ (* b_2 (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1))) (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))))) (sqrt -1))))) (/ 1 (* a (pow (sqrt -1) 2))))))
(* -1 (/ b_2 a))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* b_2 (- (+ (* -1 (/ (- c (* -1 (* c (pow (sqrt -1) 2)))) (pow b_2 2))) (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))
(* b_2 (- (+ (* -1 (/ (- c (* -1 (* c (pow (sqrt -1) 2)))) (pow b_2 2))) (+ (* (sqrt (* a c)) (/ (* (sqrt -1) (- c (* -1 (* c (pow (sqrt -1) 2))))) (pow b_2 3))) (* (sqrt (/ c a)) (/ (sqrt -1) b_2)))) (/ 1 a)))
(* -1 (/ b_2 a))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (/ (- (* -1 (/ (- c (* -1 (* c (pow (sqrt -1) 2)))) b_2)) (* -1 (* (sqrt (/ c a)) (sqrt -1)))) b_2)) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (/ (- (* -1 (/ (- (+ c (* -1 (* (sqrt (* a c)) (/ (* (sqrt -1) (- c (* -1 (* c (pow (sqrt -1) 2))))) b_2)))) (* -1 (* c (pow (sqrt -1) 2)))) b_2)) (* -1 (* (sqrt (/ c a)) (sqrt -1)))) b_2)) (/ 1 a))))
(pow b_2 2)
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(* a c)
(* a (+ c (/ (pow b_2 2) a)))
(* a (+ c (/ (pow b_2 2) a)))
(* a (+ c (/ (pow b_2 2) a)))
(* a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))
(pow b_2 2)
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(* a c)
(* c (+ a (/ (pow b_2 2) c)))
(* c (+ a (/ (pow b_2 2) c)))
(* c (+ a (/ (pow b_2 2) c)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))
(* a c)
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))
(* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))
(* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))
(* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(+ (* -1 (* a b_2)) (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))))
(+ (* -1 (* a b_2)) (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))))
(+ (* -1 (* a b_2)) (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))))
(* -1 (* a b_2))
(* b_2 (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))
(* b_2 (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))
(* b_2 (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))
(* -1 (* a b_2))
(* -1 (* b_2 (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))
(* -1 (* b_2 (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))
(* -1 (* b_2 (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))
(* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))
(* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))
(* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))
(* -1 (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (* a b_2) c))))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (* a b_2) c))))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (* a b_2) c))))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c))))
(* -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 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 (pow b_2 2))
(* -1 (pow b_2 2))
(* -1 (pow b_2 2))
(* -1 (pow b_2 2))
(* -1 (pow b_2 2))
(* -1 (pow b_2 2))
(* -1 (pow b_2 2))
(* -1 (pow b_2 2))
(* -1 (pow b_2 2))
(* -1 (pow b_2 2))
(* -1 (pow b_2 2))
(* -1 (pow b_2 2))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(* -1 b_2)
(* b_2 (- (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) 1))
(* b_2 (- (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) 1))
(* b_2 (- (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) 1))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))
(* -1 (* b_2 (+ 1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))
(* -1 (* b_2 (+ 1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))
(* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))
(* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))
(* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))
(* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))
(* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))
(* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))
(* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))

Outputs
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a)
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b_2 a))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b_2 a))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b_2 a))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a)
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(.f64 c (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (/.f64 b_2 (.f64 a c))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(.f64 c (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (/.f64 b_2 (.f64 a c))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(.f64 c (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (/.f64 b_2 (.f64 a c))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 b_2 (*.f64 a c))) (neg.f64 c))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 b_2 (*.f64 a c))) (neg.f64 c))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 b_2 (*.f64 a c))) (neg.f64 c))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b_2 a))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b_2 a))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b_2 a))
(* -1 (/ b_2 a))
(/.f64 b_2 (neg.f64 a))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(*.f64 b_2 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (/.f64 #s(literal -1 binary64) a)))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(*.f64 b_2 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (/.f64 #s(literal -1 binary64) a)))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(*.f64 b_2 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (/.f64 #s(literal -1 binary64) a)))
(* -1 (/ b_2 a))
(/.f64 b_2 (neg.f64 a))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(*.f64 b_2 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (/.f64 #s(literal -1 binary64) a)))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(*.f64 b_2 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (/.f64 #s(literal -1 binary64) a)))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(*.f64 b_2 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (/.f64 #s(literal -1 binary64) a)))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(.f64 c (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b_2 c)))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(.f64 c (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b_2 c)))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(.f64 c (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b_2 c)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b_2 c)) (neg.f64 c))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b_2 c)) (neg.f64 c))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b_2 c)) (neg.f64 c))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
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(.f64 (fma.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) b_2) (neg.f64 a))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a (.f64 c (.f64 a a)))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (* a b_2) c))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c)) (/.f64 (.f64 a b_2) c)))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (* a b_2) c))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c)) (/.f64 (.f64 a b_2) c)))
(* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (* a b_2) c))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c)) (/.f64 (.f64 a b_2) c)))
(* (sqrt (* (pow a 3) c)) (sqrt -1))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 a (.f64 c (.f64 a a)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 a b_2) c)))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 a b_2) c)))
(* -1 (* c (+ (* -1 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (/ (* a b_2) c))))
(.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (.f64 a b_2) c)))
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 a)
(neg.f64 a)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 (pow b_2 2))
(*.f64 b_2 (neg.f64 b_2))
(* -1 (pow b_2 2))
(*.f64 b_2 (neg.f64 b_2))
(* -1 (pow b_2 2))
(*.f64 b_2 (neg.f64 b_2))
(* -1 (pow b_2 2))
(*.f64 b_2 (neg.f64 b_2))
(* -1 (pow b_2 2))
(*.f64 b_2 (neg.f64 b_2))
(* -1 (pow b_2 2))
(*.f64 b_2 (neg.f64 b_2))
(* -1 (pow b_2 2))
(*.f64 b_2 (neg.f64 b_2))
(* -1 (pow b_2 2))
(*.f64 b_2 (neg.f64 b_2))
(* -1 (pow b_2 2))
(*.f64 b_2 (neg.f64 b_2))
(* -1 (pow b_2 2))
(*.f64 b_2 (neg.f64 b_2))
(* -1 (pow b_2 2))
(*.f64 b_2 (neg.f64 b_2))
(* -1 (pow b_2 2))
(*.f64 b_2 (neg.f64 b_2))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) b_2))
(- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) b_2))
(- (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) b_2))
(* -1 b_2)
(neg.f64 b_2)
(* b_2 (- (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) 1))
(neg.f64 (fma.f64 (sqrt.f64 (.f64 a c)) (.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) b_2))
(* b_2 (- (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) 1))
(neg.f64 (fma.f64 (sqrt.f64 (.f64 a c)) (.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) b_2))
(* b_2 (- (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) 1))
(neg.f64 (fma.f64 (sqrt.f64 (.f64 a c)) (.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) b_2))
(* -1 b_2)
(neg.f64 b_2)
(* -1 (* b_2 (+ 1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))
(neg.f64 (fma.f64 (sqrt.f64 (.f64 a c)) (.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) b_2))
(* -1 (* b_2 (+ 1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))
(neg.f64 (fma.f64 (sqrt.f64 (.f64 a c)) (.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) b_2))
(* -1 (* b_2 (+ 1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))
(neg.f64 (fma.f64 (sqrt.f64 (.f64 a c)) (.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) b_2))
(* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) b_2))
(* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) b_2))
(* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) b_2))
(* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) b_2))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b_2 c)) (neg.f64 c))
(* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b_2 c)) (neg.f64 c))
(* c (- (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b_2 c)) (neg.f64 c))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 c (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b_2 c)))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 c (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b_2 c)))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 c (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 b_2 c)))
(* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) b_2))
(* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) b_2))
(* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) b_2))
(* -1 (+ b_2 (* (sqrt (* a c)) (sqrt -1))))
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) b_2))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) a) b_2))
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) a) b_2))
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) a) b_2))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(fma.f64 a (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (neg.f64 b_2))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(fma.f64 a (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (neg.f64 b_2))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(fma.f64 a (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (neg.f64 b_2))

eval89.0ms (1%)

Memory: 3.3MiB live, 151.9MiB allocated
Compiler: Compiled 13 362 to 1 317 computations (90.1% saved)

prune100.0ms (1.1%)

Memory

-13.4MiB live, 144.9MiB allocated

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	806	5	811
Fresh	1	13	14
Picked	2	3	5
Done	0	2	2
Total	809	23	832

Accuracy

99.9%

Counts

832 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.7%	(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (/.f64 a (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64))) b_2 (neg.f64 b_2)) a)
	19.1%	(/.f64 (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) (neg.f64 b_2)) a)
▶	21.9%	(/.f64 (fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c) (neg.f64 b_2)) a)
	35.6%	(/.f64 (/.f64 (fma.f64 a c (.f64 b_2 b_2)) a) (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))))
▶	36.6%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)))
▶	36.6%	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
	2.5%	(/.f64 (+.f64 (.f64 (/.f64 #s(literal -1 binary64) b_2) (neg.f64 (.f64 b_2 b_2))) b_2) a)
	2.6%	(/.f64 (+.f64 (neg.f64 b_2) (/.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))) #s(literal -1 binary64)) (.f64 b_2 b_2))) (sqrt.f64 (fma.f64 c (/.f64 a (*.f64 b_2 (neg.f64 b_2))) #s(literal -1 binary64))))) a)
✓	52.8%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	2.6%	(/.f64 (+.f64 b_2 b_2) a)
✓	9.4%	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
▶	34.8%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	35.7%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
	30.9%	(/.f64 (.f64 a c) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a))))))
▶	16.2%	(/.f64 (neg.f64 b_2) a)
	36.6%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)))
	2.6%	(/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 b_2 b_2)))
	35.6%	(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
	31.9%	(.f64 (fma.f64 a c (.f64 b_2 b_2)) (/.f64 #s(literal 1 binary64) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))))))
✓	36.6%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2))
	9.4%	(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
	35.6%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
✓	9.7%	#s(literal 0 binary64)

Compiler

Compiled 572 to 374 computations (34.6% saved)

simplify87.0ms (0.9%)

Memory

2.6MiB live, 84.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) a)
✓	cost-diff	1408	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)))
✓	cost-diff	0	(neg.f64 a)
✓	cost-diff	0	(sqrt.f64 (neg.f64 a))
✓	cost-diff	0	(fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c) (neg.f64 b_2))
✓	cost-diff	0	(/.f64 (fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c) (neg.f64 b_2)) a)
✓	cost-diff	0	(*.f64 c #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	cost-diff	0	(neg.f64 b_2)
✓	cost-diff	0	(/.f64 (neg.f64 b_2) a)
✓	cost-diff	0	(*.f64 c (neg.f64 a))
✓	cost-diff	0	(sqrt.f64 (*.f64 c (neg.f64 a)))
✓	cost-diff	0	(-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)
✓	cost-diff	0	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)

Rules

928×	`accelerator-lowering-fma.f32`
928×	`accelerator-lowering-fma.f64`
688×	`-lowering-.f32`
688×	`-lowering-.f64`
494×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	122
1	47	122
2	93	122
3	195	122
4	360	122
5	573	122
6	906	122
7	1375	122
8	1615	122
9	1784	122
10	1914	122
11	1944	122
12	1962	122
13	1964	122
0	1964	122

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (- (sqrt (* c (neg a))) b_2) a)
(- (sqrt (* c (neg a))) b_2)
(sqrt (* c (neg a)))
(* c (neg a))
c
(neg a)
a
b_2
(/ (neg b_2) a)
(neg b_2)
b_2
a
(/ (* c -1/2) b_2)
(* c -1/2)
c
-1/2
b_2
(/ (+ (* (sqrt (neg a)) (sqrt c)) (neg b_2)) a)
(+ (* (sqrt (neg a)) (sqrt c)) (neg b_2))
(sqrt (neg a))
(neg a)
a
(sqrt c)
c
(neg b_2)
b_2
(/ (/ 1 a) (/ 1 (- (sqrt (* c (neg a))) b_2)))
(/ 1 a)
1
a
(/ 1 (- (sqrt (* c (neg a))) b_2))
(- (sqrt (* c (neg a))) b_2)
(sqrt (* c (neg a)))
(* c (neg a))
c
(neg a)
b_2

Outputs
(/ (- (sqrt (* c (neg a))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
(- (sqrt (* c (neg a))) b_2)
(-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)
(sqrt (* c (neg a)))
(sqrt.f64 (*.f64 c (neg.f64 a)))
(* c (neg a))
(*.f64 c (neg.f64 a))
c
(neg a)
(neg.f64 a)
a
b_2
(/ (neg b_2) a)
(/.f64 b_2 (neg.f64 a))
(neg b_2)
(neg.f64 b_2)
b_2
a
(/ (* c -1/2) b_2)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(* c -1/2)
(*.f64 c #s(literal -1/2 binary64))
c
-1/2
#s(literal -1/2 binary64)
b_2
(/ (+ (* (sqrt (neg a)) (sqrt c)) (neg b_2)) a)
(/.f64 (fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c) (neg.f64 b_2)) a)
(+ (* (sqrt (neg a)) (sqrt c)) (neg b_2))
(fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c) (neg.f64 b_2))
(sqrt (neg a))
(sqrt.f64 (neg.f64 a))
(neg a)
(neg.f64 a)
a
(sqrt c)
(sqrt.f64 c)
c
(neg b_2)
(neg.f64 b_2)
b_2
(/ (/ 1 a) (/ 1 (- (sqrt (* c (neg a))) b_2)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
1
#s(literal 1 binary64)
a
(/ 1 (- (sqrt (* c (neg a))) b_2))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2))
(- (sqrt (* c (neg a))) b_2)
(-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)
(sqrt (* c (neg a)))
(sqrt.f64 (*.f64 c (neg.f64 a)))
(* c (neg a))
(*.f64 c (neg.f64 a))
c
(neg a)
(neg.f64 a)
b_2

localize72.0ms (0.8%)

Memory

33.5MiB live, 109.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2))
✓	accuracy	99.9%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)))
✓	accuracy	92.3%	(sqrt.f64 (*.f64 c (neg.f64 a)))
✓	accuracy	100.0%	(neg.f64 b_2)
✓	accuracy	100.0%	(neg.f64 a)
✓	accuracy	99.9%	(/.f64 (fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c) (neg.f64 b_2)) a)
✓	accuracy	99.9%	(fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c) (neg.f64 b_2))
✓	accuracy	100.0%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	accuracy	100.0%	(*.f64 c #s(literal -1/2 binary64))
✓	accuracy	100.0%	(/.f64 (neg.f64 b_2) a)
✓	accuracy	100.0%	(neg.f64 b_2)
✓	accuracy	100.0%	(neg.f64 a)
✓	accuracy	100.0%	(-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)
✓	accuracy	99.9%	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
✓	accuracy	92.3%	(sqrt.f64 (*.f64 c (neg.f64 a)))

Samples

25.0ms	158×	0	invalid
17.0ms	98×	0	valid

Compiler

Compiled 128 to 24 computations (81.3% saved)

Precisions

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

ival-div: 10.0ms (38.8% of total)

ival-mult: 4.0ms (15.5% of total)

ival-sqrt: 4.0ms (15.5% of total)

ival-sub: 3.0ms (11.6% of total)

ival-neg: 2.0ms (7.8% of total)

ival-add: 1.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

series64.0ms (0.7%)

Memory

-39.4MiB live, 51.2MiB allocated

Counts

15 → 372

Calls

Call 1

Inputs
#<alt (/ (- (sqrt (* c (neg a))) b_2) a)>
#<alt (- (sqrt (* c (neg a))) b_2)>
#<alt (sqrt (* c (neg a)))>
#<alt (* c (neg a))>
#<alt (/ (neg b_2) a)>
#<alt (neg b_2)>
#<alt (/ (* c -1/2) b_2)>
#<alt (* c -1/2)>
#<alt (/ (+ (* (sqrt (neg a)) (sqrt c)) (neg b_2)) a)>
#<alt (+ (* (sqrt (neg a)) (sqrt c)) (neg b_2))>
#<alt (sqrt (neg a))>
#<alt (neg a)>
#<alt (/ (/ 1 a) (/ 1 (- (sqrt (* c (neg a))) b_2)))>
#<alt (/ 1 a)>
#<alt (/ 1 (- (sqrt (* c (neg a))) b_2))>

Outputs
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (/ b_2 a))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 b_2)>
#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))>
#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))>
#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))>
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))>
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (* a c))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (* -1/2 c)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)) (/ b_2 (* a c)))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (/ b_2 a))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))>
#<alt (* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 3)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 3)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 3)) (/ b_2 c))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 b_2)>
#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))>
#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))>
#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))>
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))>
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))>
#<alt (* (sqrt a) (sqrt -1))>
#<alt (* (sqrt a) (sqrt -1))>
#<alt (* (sqrt a) (sqrt -1))>
#<alt (* (sqrt a) (sqrt -1))>
#<alt (* (sqrt a) (sqrt -1))>
#<alt (* (sqrt a) (sqrt -1))>
#<alt (* (sqrt a) (sqrt -1))>
#<alt (* (sqrt a) (sqrt -1))>
#<alt (* -1 (* (sqrt a) (sqrt -1)))>
#<alt (* -1 (* (sqrt a) (sqrt -1)))>
#<alt (* -1 (* (sqrt a) (sqrt -1)))>
#<alt (* -1 (* (sqrt a) (sqrt -1)))>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (* -1 a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (/ b_2 a))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))>
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 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 a)>
#<alt (/ 1 (- (* (sqrt (* a c)) (sqrt -1)) b_2))>
#<alt (/ 1 (- (* (sqrt (* a c)) (sqrt -1)) b_2))>
#<alt (/ 1 (- (* (sqrt (* a c)) (sqrt -1)) b_2))>
#<alt (/ 1 (- (* (sqrt (* a c)) (sqrt -1)) b_2))>
#<alt (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))>
#<alt (/ (+ (* (sqrt (/ c a)) (/ 1 (sqrt -1))) (/ b_2 (* a (pow (sqrt -1) 2)))) c)>
#<alt (/ (- (+ (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (pow (sqrt -1) 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* a (pow (sqrt -1) 2))))) c)>
#<alt (/ (- (+ (* (sqrt (/ c a)) (/ 1 (sqrt -1))) (/ (pow b_2 3) (* (pow a 2) (* c (pow (sqrt -1) 4))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))))) c)>
#<alt (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1)))>
#<alt (* -1 (/ (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (/ (* b_2 c) a)) c)) (* (sqrt (/ c a)) (sqrt -1))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow b_2 3) c) (pow a 2))) (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c)) (/ (* b_2 c) a)) c)) (* (sqrt (/ c a)) (sqrt -1))) c))>
#<alt (/ 1 (- (* (sqrt (* a c)) (sqrt -1)) b_2))>
#<alt (/ 1 (- (* (sqrt (* a c)) (sqrt -1)) b_2))>
#<alt (/ 1 (- (* (sqrt (* a c)) (sqrt -1)) b_2))>
#<alt (/ 1 (- (* (sqrt (* a c)) (sqrt -1)) b_2))>
#<alt (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))>
#<alt (/ (+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2)))) a)>
#<alt (/ (- (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2))))) a)>
#<alt (/ (- (+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ (pow b_2 3) (* a (* (pow c 2) (pow (sqrt -1) 4))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))))) a)>
#<alt (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1)))>
#<alt (* -1 (/ (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (/ (* a b_2) c)) a)) (* (sqrt (/ a c)) (sqrt -1))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* a (pow b_2 3)) (pow c 2))) (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))) a)) (/ (* a b_2) c)) a)) (* (sqrt (/ a c)) (sqrt -1))) a))>
#<alt (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))>
#<alt (+ (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))) (/ b_2 (* a (* c (pow (sqrt -1) 2)))))>
#<alt (+ (* b_2 (+ (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ b_2 (pow (sqrt -1) 3))) (/ 1 (* a (* c (pow (sqrt -1) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))>
#<alt (+ (* b_2 (+ (* b_2 (- (/ b_2 (* (pow a 2) (* (pow c 2) (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (* a (* c (pow (sqrt -1) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))>
#<alt (/ -1 b_2)>
#<alt (/ (- (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) 1) b_2)>
#<alt (/ (- (* -1 (/ (* a (* c (pow (sqrt -1) 2))) (pow b_2 2))) (+ 1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))) b_2)>
#<alt (/ (- (* -1 (* (sqrt (* (pow a 3) (pow c 3))) (/ (pow (sqrt -1) 3) (pow b_2 3)))) (+ 1 (+ (* (sqrt (* a c)) (/ (sqrt -1) b_2)) (/ (* a (* c (pow (sqrt -1) 2))) (pow b_2 2))))) b_2)>
#<alt (/ -1 b_2)>
#<alt (* -1 (/ (+ 1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) b_2))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (* a (* c (pow (sqrt -1) 2))) b_2)) (* (sqrt (* a c)) (sqrt -1))) b_2))) b_2))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* (sqrt (* (pow a 3) (pow c 3))) (/ (pow (sqrt -1) 3) b_2)) (* -1 (* a (* c (pow (sqrt -1) 2))))) b_2)) (* (sqrt (* a c)) (sqrt -1))) b_2))) b_2))>

Calls

93 calls:

Time	Variable		Point	Expression
15.0ms	c	@	-inf	(/ (+ (* (sqrt (neg a)) (sqrt c)) (neg b_2)) a)
3.0ms	c	@	0	(* c (neg a))
1.0ms	c	@	inf	(/ 1 (- (sqrt (* c (neg a))) b_2))
1.0ms	a	@	inf	(/ 1 (- (sqrt (* c (neg a))) b_2))
1.0ms	c	@	-inf	(/ 1 (- (sqrt (* c (neg a))) b_2))

rewrite325.0ms (3.5%)

Memory

43.2MiB live, 509.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 530×	`accelerator-lowering-fma.f32`
3 530×	`accelerator-lowering-fma.f64`
3 440×	`-lowering-.f32`
3 440×	`-lowering-.f64`
2 352×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	81
1	122	81
2	805	79
0	9162	79

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 1 551

Calls

Call 1

Inputs
(/ (- (sqrt (* c (neg a))) b_2) a)
(- (sqrt (* c (neg a))) b_2)
(sqrt (* c (neg a)))
(* c (neg a))
(/ (neg b_2) a)
(neg b_2)
(/ (* c -1/2) b_2)
(* c -1/2)
(/ (+ (* (sqrt (neg a)) (sqrt c)) (neg b_2)) a)
(+ (* (sqrt (neg a)) (sqrt c)) (neg b_2))
(sqrt (neg a))
(neg a)
(/ (/ 1 a) (/ 1 (- (sqrt (* c (neg a))) b_2)))
(/ 1 a)
(/ 1 (- (sqrt (* c (neg a))) b_2))

Outputs
(+.f64 (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a) (/.f64 b_2 a))
(+.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))
(+.f64 (/.f64 b_2 a) (.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 (sqrt.f64 (neg.f64 (.f64 c a))))))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 (sqrt.f64 (neg.f64 (.f64 c a))))) (/.f64 b_2 a))
(exp.f64 (.f64 (log.f64 (/.f64 a (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (.f64 #s(literal -1 binary64) (log.f64 a)) (.f64 #s(literal -1 binary64) (log.f64 (+.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 c a))))))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 c a)))) a))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 b_2 a) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a)))
(-.f64 (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a) (/.f64 b_2 a))
(-.f64 (/.f64 (/.f64 (.f64 (neg.f64 (.f64 c a)) (sqrt.f64 (neg.f64 (.f64 c a)))) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))) (neg.f64 (.f64 c a)))) a) (/.f64 (/.f64 (.f64 b_2 (.f64 b_2 b_2)) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))) (neg.f64 (*.f64 c a)))) a))
(-.f64 (/.f64 (.f64 c (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))))) a) (/.f64 (/.f64 (.f64 b_2 b_2) (-.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a))))) a))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))))) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))) a))
(-.f64 (/.f64 (.f64 (neg.f64 (.f64 c a)) (sqrt.f64 (neg.f64 (.f64 c a)))) (.f64 a (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))) (neg.f64 (.f64 c a))))) (/.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))) (neg.f64 (*.f64 c a))))))
(-.f64 (/.f64 (neg.f64 (.f64 c a)) (.f64 a (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))))) (/.f64 (.f64 b_2 b_2) (.f64 a (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))))))
(-.f64 (/.f64 (.f64 a (sqrt.f64 (neg.f64 (.f64 c a)))) (.f64 a a)) (/.f64 (.f64 a b_2) (*.f64 a a)))
(-.f64 (/.f64 (/.f64 (.f64 (neg.f64 (.f64 c a)) (sqrt.f64 (neg.f64 (.f64 c a)))) (.f64 a (.f64 a a))) (fma.f64 (/.f64 b_2 a) (/.f64 (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))) a) (/.f64 (neg.f64 (.f64 c a)) (.f64 a a)))) (/.f64 (/.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a (.f64 a a))) (fma.f64 (/.f64 b_2 a) (/.f64 (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))) a) (/.f64 (neg.f64 (.f64 c a)) (*.f64 a a)))))
(-.f64 (/.f64 (/.f64 (neg.f64 (.f64 c a)) (.f64 a a)) (/.f64 (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))) a)) (/.f64 (/.f64 (.f64 b_2 b_2) (.f64 a a)) (/.f64 (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))) a)))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a) #s(literal 0 binary64)) (/.f64 b_2 a))
(fma.f64 b_2 (/.f64 #s(literal 1 binary64) a) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))
(fma.f64 b_2 (/.f64 #s(literal 1 binary64) a) (.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 (sqrt.f64 (neg.f64 (.f64 c a))))))
(fma.f64 b_2 (/.f64 #s(literal -1 binary64) a) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))
(fma.f64 b_2 (/.f64 #s(literal -1 binary64) a) (.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 (sqrt.f64 (neg.f64 (.f64 c a))))))
(fma.f64 (sqrt.f64 (neg.f64 a)) (/.f64 (sqrt.f64 c) a) (/.f64 b_2 a))
(fma.f64 (sqrt.f64 c) (/.f64 (sqrt.f64 (neg.f64 a)) a) (/.f64 b_2 a))
(fma.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (/.f64 #s(literal 1 binary64) a) (/.f64 b_2 a))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a) (/.f64 b_2 a))
(fma.f64 #s(literal 1 binary64) (/.f64 b_2 a) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))
(fma.f64 #s(literal 1 binary64) (/.f64 b_2 a) (.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 (sqrt.f64 (neg.f64 (.f64 c a))))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) b_2 (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))
(fma.f64 (/.f64 #s(literal 1 binary64) a) b_2 (.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 (sqrt.f64 (neg.f64 (.f64 c a))))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (neg.f64 (*.f64 c a))) (/.f64 b_2 a))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b_2) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b_2) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 (sqrt.f64 (neg.f64 (.f64 c a))))))
(fma.f64 (/.f64 #s(literal 1 binary64) a) (.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (.f64 c a)))) (/.f64 b_2 a))
(fma.f64 #s(literal -1 binary64) (/.f64 b_2 a) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))
(fma.f64 #s(literal -1 binary64) (/.f64 b_2 a) (.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 (sqrt.f64 (neg.f64 (.f64 c a))))))
(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) a) (sqrt.f64 (neg.f64 (.f64 c a)))) (/.f64 b_2 a))
(fma.f64 (/.f64 #s(literal -1 binary64) a) b_2 (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))
(fma.f64 (/.f64 #s(literal -1 binary64) a) b_2 (.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 (sqrt.f64 (neg.f64 (.f64 c a))))))
(fma.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 (sqrt.f64 (neg.f64 (*.f64 c a)))) (/.f64 b_2 a))
(fma.f64 (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a) #s(literal 1 binary64) (/.f64 b_2 a))
(fma.f64 (/.f64 b_2 a) #s(literal 1 binary64) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))
(fma.f64 (/.f64 b_2 a) #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 (sqrt.f64 (neg.f64 (.f64 c a))))))
(fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))
(fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 (sqrt.f64 (neg.f64 (.f64 c a))))))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 a) (/.f64 (sqrt.f64 c) a)) (/.f64 b_2 a))
(fma.f64 (neg.f64 (sqrt.f64 (neg.f64 (*.f64 c a)))) (/.f64 #s(literal -1 binary64) a) (/.f64 b_2 a))
(fma.f64 (pow.f64 (neg.f64 a) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (neg.f64 a) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 c) a)) (/.f64 b_2 a))
(fma.f64 (pow.f64 c #s(literal 1/4 binary64)) (*.f64 (pow.f64 c #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 (neg.f64 a)) a)) (/.f64 b_2 a))
(fma.f64 (pow.f64 (neg.f64 (.f64 c a)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (neg.f64 (.f64 c a)) #s(literal 1/4 binary64)) a) (/.f64 b_2 a))
(fma.f64 (pow.f64 (neg.f64 (.f64 c a)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (neg.f64 (*.f64 c a)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) a)) (/.f64 b_2 a))
(fma.f64 (pow.f64 a #s(literal -1/2 binary64)) (.f64 (pow.f64 a #s(literal -1/2 binary64)) b_2) (/.f64 (sqrt.f64 (neg.f64 (.f64 c a))) a))
(fma.f64 (pow.f64 a #s(literal -1/2 binary64)) (.f64 (pow.f64 a #s(literal -1/2 binary64)) b_2) (.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 (sqrt.f64 (neg.f64 (*.f64 c a))))))
(fma.f64 (pow.f64 a #s(literal -1/2 binary64)) (.f64 (pow.f64 a #s(literal -1/2 binary64)) (sqrt.f64 (neg.f64 (.f64 c a)))) (/.f64 b_2 a))
(fma.f64 (/.f64 (sqrt.f64 c) a) (sqrt.f64 (neg.f64 a)) (/.f64 b_2 a))
(fma.f64 (/.f64 (sqrt.f64 c) a) (/.f64 (sqrt.f64 (neg.f64 a)) #s(literal 1 binary64)) (/.f64 b_2 a))
(fma.f64 (/.f64 (sqrt.f64 (neg.f64 a)) a) (sqrt.f64 c) (/.f64 b_2 a))
(fma.f64 (/.f64 (sqrt.f64 (neg.f64 a)) a) (/.f64 (sqrt.f64 c) #s(literal 1 binary64)) (/.f64 b_2 a))
(fma.f64 (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) (neg.f64 a)) #s(literal -1 binary64) (/.f64 b_2 a))
(fma.f64 (/.f64 (pow.f64 (neg.f64 (.f64 c a)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (neg.f64 (.f64 c a)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 b_2 a))
(fma.f64 (pow.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (neg.f64 (*.f64 c a))) a))
(fma.f64 (pow.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 (sqrt.f64 (neg.f64 (.f64 c a))))))
(fma.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (.f64 c a)) #s(literal 1/4 binary64))) (.f64 (pow.f64 a #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (.f64 c a)) #s(literal 1/4 binary64))) (/.f64 b_2 a))
(fma.f64 (.f64 (pow.f64 (neg.f64 (.f64 c a)) #s(literal 1/4 binary64)) (pow.f64 a #s(literal -1/2 binary64))) (.f64 (pow.f64 (neg.f64 (.f64 c a)) #s(literal 1/4 binary64)) (pow.f64 a #s(literal -1/2 binary64))) (/.f64 b_2 a))
(fma.f64 (.f64 b_2 (pow.f64 a #s(literal -1/2 binary64))) (pow.f64 a #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (neg.f64 (.f64 c a))) a))
(fma.f64 (.f64 b_2 (pow.f64 a #s(literal -1/2 binary64))) (pow.f64 a #s(literal -1/2 binary64)) (.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 (sqrt.f64 (neg.f64 (*.f64 c a))))))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (neg.f64 a))) (sqrt.f64 c) (/.f64 b_2 a))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 c)) (sqrt.f64 (neg.f64 a)) (/.f64 b_2 a))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (neg.f64 (.f64 c a)) #s(literal 1/4 binary64))) (pow.f64 (neg.f64 (*.f64 c a)) #s(literal 1/4 binary64)) (/.f64 b_2 a))
(fma.f64 (.f64 (sqrt.f64 (neg.f64 (.f64 c a))) (pow.f64 a #s(literal -1/2 binary64))) (pow.f64 a #s(literal -1/2 binary64)) (/.f64 b_2 a))
(fma.f64 (/.f64 b_2 (neg.f64 (.f64 a (.f64 a a)))) (.f64 a a) (/.f64 (sqrt.f64 (neg.f64 (.f64 c a))) a))
(fma.f64 (/.f64 b_2 (neg.f64 (.f64 a (.f64 a a)))) (.f64 a a) (.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 (sqrt.f64 (neg.f64 (*.f64 c a))))))
(fma.f64 (/.f64 b_2 (neg.f64 (.f64 a a))) a (/.f64 (sqrt.f64 (neg.f64 (.f64 c a))) a))
(fma.f64 (/.f64 b_2 (neg.f64 (.f64 a a))) a (.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 (sqrt.f64 (neg.f64 (*.f64 c a))))))
(fma.f64 (/.f64 (neg.f64 (sqrt.f64 (neg.f64 (.f64 c a)))) (neg.f64 (.f64 a (.f64 a a)))) (.f64 a a) (/.f64 b_2 a))
(fma.f64 (/.f64 (neg.f64 (sqrt.f64 (neg.f64 (.f64 c a)))) (neg.f64 (.f64 a a))) a (/.f64 b_2 a))
(neg.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 c a)))) a))
(/.f64 (+.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 c a)))) a)
(/.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 c a)))) a) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 c a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 a (+.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 c a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 a (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))) (neg.f64 (.f64 c a))))) (neg.f64 (fma.f64 (neg.f64 (.f64 c a)) (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 b_2 (*.f64 b_2 b_2))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))) a) (fma.f64 b_2 b_2 (*.f64 c a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))) (neg.f64 (.f64 c a))) (/.f64 (fma.f64 (neg.f64 (.f64 c a)) (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 b_2 (.f64 b_2 b_2))) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))) (/.f64 (fma.f64 b_2 b_2 (.f64 c a)) (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 b_2 a) (/.f64 (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))) a) (/.f64 (neg.f64 (.f64 c a)) (.f64 a a))) (-.f64 (/.f64 (.f64 (neg.f64 (.f64 c a)) (sqrt.f64 (neg.f64 (.f64 c a)))) (.f64 a (.f64 a a))) (/.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a (.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))) a) (+.f64 (/.f64 (neg.f64 (.f64 c a)) (.f64 a a)) (/.f64 (.f64 b_2 b_2) (*.f64 a a)))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 c a))))))
(/.f64 #s(literal -1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 c a))))))
(/.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 c a))))))
(/.f64 (fma.f64 (neg.f64 (.f64 c a)) (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 b_2 (.f64 b_2 b_2))) (.f64 a (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))) (neg.f64 (*.f64 c a)))))
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(.f64 (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))) (/.f64 #s(literal -1 binary64) (fma.f64 b_2 b_2 (*.f64 c a))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a))))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a))))) #s(literal -1 binary64))
(.f64 (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))) (neg.f64 (.f64 c a))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (.f64 c a)) (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 b_2 (*.f64 b_2 b_2)))))
(.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 c a)))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 c a)))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))) #s(literal -1/2 binary64)) (.f64 (pow.f64 (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (.f64 c a)) (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 b_2 (.f64 b_2 b_2)))) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))) (neg.f64 (*.f64 c a))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (.f64 c a)) (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 b_2 (.f64 b_2 b_2)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))) (neg.f64 (*.f64 c a)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (.f64 c a)) (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 b_2 (.f64 b_2 b_2)))) (/.f64 (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))) (neg.f64 (*.f64 c a))) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b_2 b_2 (.f64 c a))) (+.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 c a)))))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))) #s(literal -1/2 binary64))) (pow.f64 (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 (.f64 c a)) (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 b_2 (.f64 b_2 b_2)))) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))) (neg.f64 (neg.f64 (*.f64 c a)))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c (neg.f64 a) (.f64 b_2 b_2))) (-.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 c a)))))
(.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (.f64 c a)) (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 b_2 (.f64 b_2 b_2))))) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))) (neg.f64 (neg.f64 (*.f64 c a)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (.f64 c a))) (-.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 c a)))))
(.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))) (fma.f64 (neg.f64 (.f64 c a)) (.f64 (.f64 c a) (.f64 c a)) (.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 b_2 (.f64 b_2 b_2))))) (fma.f64 (.f64 b_2 b_2) (fma.f64 c (neg.f64 a) (.f64 b_2 b_2)) (.f64 (.f64 c a) (.f64 c a))))
(.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))) (fma.f64 (.f64 c a) (.f64 c a) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))) (fma.f64 c (neg.f64 a) (.f64 b_2 b_2)))
(.f64 (/.f64 (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))) (neg.f64 (.f64 c a))) (fma.f64 (.f64 (neg.f64 (.f64 c a)) (sqrt.f64 (neg.f64 (.f64 c a)))) (.f64 (neg.f64 (.f64 c a)) (.f64 (.f64 c a) (.f64 c a))) (.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 b_2 (.f64 b_2 b_2)))))) (fma.f64 (neg.f64 (.f64 c a)) (.f64 (.f64 c a) (.f64 c a)) (.f64 (.f64 b_2 (.f64 b_2 b_2)) (fma.f64 (neg.f64 (.f64 c a)) (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 b_2 (.f64 b_2 b_2))))))
(.f64 (/.f64 (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))) (neg.f64 (.f64 c a))) (fma.f64 (neg.f64 (.f64 c a)) (.f64 (.f64 c a) (.f64 c a)) (.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 b_2 (.f64 b_2 b_2))))) (fma.f64 (neg.f64 (.f64 c a)) (sqrt.f64 (neg.f64 (.f64 c a))) (.f64 b_2 (.f64 b_2 b_2))))

simplify437.0ms (4.7%)

Memory

-15.2MiB live, 623.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 946×	`accelerator-lowering-fma.f32`
9 946×	`accelerator-lowering-fma.f64`
5 170×	`-lowering-.f32`
5 170×	`-lowering-.f64`
2 960×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	263	3634
1	806	3482
2	2753	3440
3	7824	3434
0	8370	3365

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

Inputs
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b_2 a))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* -1 (/ b_2 a))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(* -1 b_2)
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (* a c))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 (/ c b_2))
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)) (/ b_2 (* a c)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b_2 a))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* -1 (/ b_2 a))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3)))
(* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 3)) (/ b_2 c))))
(* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 3)) (/ b_2 c))))
(* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 3)) (/ b_2 c))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(* -1 b_2)
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(* (sqrt a) (sqrt -1))
(* (sqrt a) (sqrt -1))
(* (sqrt a) (sqrt -1))
(* (sqrt a) (sqrt -1))
(* (sqrt a) (sqrt -1))
(* (sqrt a) (sqrt -1))
(* (sqrt a) (sqrt -1))
(* (sqrt a) (sqrt -1))
(* -1 (* (sqrt a) (sqrt -1)))
(* -1 (* (sqrt a) (sqrt -1)))
(* -1 (* (sqrt a) (sqrt -1)))
(* -1 (* (sqrt a) (sqrt -1)))
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b_2 a))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* -1 (/ b_2 a))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 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 a)
(/ 1 (- (* (sqrt (* a c)) (sqrt -1)) b_2))
(/ 1 (- (* (sqrt (* a c)) (sqrt -1)) b_2))
(/ 1 (- (* (sqrt (* a c)) (sqrt -1)) b_2))
(/ 1 (- (* (sqrt (* a c)) (sqrt -1)) b_2))
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))
(/ (+ (* (sqrt (/ c a)) (/ 1 (sqrt -1))) (/ b_2 (* a (pow (sqrt -1) 2)))) c)
(/ (- (+ (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (pow (sqrt -1) 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* a (pow (sqrt -1) 2))))) c)
(/ (- (+ (* (sqrt (/ c a)) (/ 1 (sqrt -1))) (/ (pow b_2 3) (* (pow a 2) (* c (pow (sqrt -1) 4))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))))) c)
(* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(* -1 (/ (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (/ (* b_2 c) a)) c)) (* (sqrt (/ c a)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow b_2 3) c) (pow a 2))) (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c)) (/ (* b_2 c) a)) c)) (* (sqrt (/ c a)) (sqrt -1))) c))
(/ 1 (- (* (sqrt (* a c)) (sqrt -1)) b_2))
(/ 1 (- (* (sqrt (* a c)) (sqrt -1)) b_2))
(/ 1 (- (* (sqrt (* a c)) (sqrt -1)) b_2))
(/ 1 (- (* (sqrt (* a c)) (sqrt -1)) b_2))
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))
(/ (+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2)))) a)
(/ (- (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2))))) a)
(/ (- (+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ (pow b_2 3) (* a (* (pow c 2) (pow (sqrt -1) 4))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))))) a)
(* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(* -1 (/ (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (/ (* a b_2) c)) a)) (* (sqrt (/ a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* a (pow b_2 3)) (pow c 2))) (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))) a)) (/ (* a b_2) c)) a)) (* (sqrt (/ a c)) (sqrt -1))) a))
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))
(+ (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))) (/ b_2 (* a (* c (pow (sqrt -1) 2)))))
(+ (* b_2 (+ (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ b_2 (pow (sqrt -1) 3))) (/ 1 (* a (* c (pow (sqrt -1) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))
(+ (* b_2 (+ (* b_2 (- (/ b_2 (* (pow a 2) (* (pow c 2) (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (* a (* c (pow (sqrt -1) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))
(/ -1 b_2)
(/ (- (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) 1) b_2)
(/ (- (* -1 (/ (* a (* c (pow (sqrt -1) 2))) (pow b_2 2))) (+ 1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))) b_2)
(/ (- (* -1 (* (sqrt (* (pow a 3) (pow c 3))) (/ (pow (sqrt -1) 3) (pow b_2 3)))) (+ 1 (+ (* (sqrt (* a c)) (/ (sqrt -1) b_2)) (/ (* a (* c (pow (sqrt -1) 2))) (pow b_2 2))))) b_2)
(/ -1 b_2)
(* -1 (/ (+ 1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) b_2))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (* a (* c (pow (sqrt -1) 2))) b_2)) (* (sqrt (* a c)) (sqrt -1))) b_2))) b_2))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* (sqrt (* (pow a 3) (pow c 3))) (/ (pow (sqrt -1) 3) b_2)) (* -1 (* a (* c (pow (sqrt -1) 2))))) b_2)) (* (sqrt (* a c)) (sqrt -1))) b_2))) b_2))

Outputs
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a)
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(.f64 c (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (/.f64 b_2 (.f64 a c))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(.f64 c (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (/.f64 b_2 (.f64 a c))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(.f64 c (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (/.f64 b_2 (.f64 a c))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 b_2 (*.f64 a c))) (neg.f64 c))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 b_2 (*.f64 a c))) (neg.f64 c))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 b_2 (*.f64 a c))) (neg.f64 c))
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a)
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 (neg.f64 a)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 (neg.f64 a)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 (neg.f64 a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 (neg.f64 a)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 (neg.f64 a)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 (neg.f64 a)))
(* -1 (/ b_2 a))
(/.f64 b_2 (neg.f64 a))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(*.f64 b_2 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (/.f64 #s(literal -1 binary64) a)))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(*.f64 b_2 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (/.f64 #s(literal -1 binary64) a)))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(*.f64 b_2 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (/.f64 #s(literal -1 binary64) a)))
(* -1 (/ b_2 a))
(/.f64 b_2 (neg.f64 a))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(*.f64 b_2 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (/.f64 #s(literal -1 binary64) a)))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(*.f64 b_2 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (/.f64 #s(literal -1 binary64) a)))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(*.f64 b_2 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (/.f64 #s(literal -1 binary64) a)))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b_2 (neg.f64 c))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b_2 (neg.f64 c))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b_2 (neg.f64 c))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b_2 c)) (neg.f64 c))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b_2 c)) (neg.f64 c))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b_2 c)) (neg.f64 c))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 (neg.f64 a))))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 (neg.f64 a))))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 (neg.f64 a))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)) (neg.f64 a))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)) (neg.f64 a))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)) (neg.f64 a))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2))
(* -1 b_2)
(neg.f64 b_2)
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(.f64 b_2 (fma.f64 (sqrt.f64 (.f64 a c)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) #s(literal -1 binary64)))
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(.f64 b_2 (fma.f64 (sqrt.f64 (.f64 a c)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) #s(literal -1 binary64)))
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(.f64 b_2 (fma.f64 (sqrt.f64 (.f64 a c)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) #s(literal -1 binary64)))
(* -1 b_2)
(neg.f64 b_2)
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(.f64 b_2 (fma.f64 (sqrt.f64 (.f64 a c)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) #s(literal -1 binary64)))
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(.f64 b_2 (fma.f64 (sqrt.f64 (.f64 a c)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) #s(literal -1 binary64)))
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(.f64 b_2 (fma.f64 (sqrt.f64 (.f64 a c)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a c))
(*.f64 a (neg.f64 c))
(* -1 (* a c))
(*.f64 a (neg.f64 c))
(* -1 (* a c))
(*.f64 a (neg.f64 c))
(* -1 (* a c))
(*.f64 a (neg.f64 c))
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(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
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(* -1 (/ b_2 a))
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(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(*.f64 b_2 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (/.f64 #s(literal -1 binary64) a)))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(*.f64 b_2 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (/.f64 #s(literal -1 binary64) a)))
(* -1 (/ b_2 a))
(/.f64 b_2 (neg.f64 a))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(*.f64 b_2 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (/.f64 #s(literal -1 binary64) a)))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(*.f64 b_2 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (/.f64 #s(literal -1 binary64) a)))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(*.f64 b_2 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (/.f64 #s(literal -1 binary64) a)))
(/ 1 a)
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(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ 1 a)
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(/ 1 (- (* (sqrt (* a c)) (sqrt -1)) b_2))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)))
(/ 1 (- (* (sqrt (* a c)) (sqrt -1)) b_2))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)))
(/ 1 (- (* (sqrt (* a c)) (sqrt -1)) b_2))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)))
(/ 1 (- (* (sqrt (* a c)) (sqrt -1)) b_2))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)))
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))
(/ (+ (* (sqrt (/ c a)) (/ 1 (sqrt -1))) (/ b_2 (* a (pow (sqrt -1) 2)))) c)
(/.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a)) c)
(/ (- (+ (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (pow (sqrt -1) 3))) (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* a (pow (sqrt -1) 2))))) c)
(/.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))) (.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 b_2 a))) c)
(/ (- (+ (* (sqrt (/ c a)) (/ 1 (sqrt -1))) (/ (pow b_2 3) (* (pow a 2) (* c (pow (sqrt -1) 4))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))))) c)
(/.f64 (-.f64 (fma.f64 b_2 (/.f64 (.f64 b_2 b_2) (.f64 a (.f64 a (.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))) (.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 b_2 a))) c)
(* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (/ (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)) c))
(/.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)) (neg.f64 c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (/ (* b_2 c) a)) c)) (* (sqrt (/ c a)) (sqrt -1))) c))
(neg.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 c (.f64 a (.f64 a a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (/.f64 (*.f64 c b_2) a)) c)) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow b_2 3) c) (pow a 2))) (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c)) (/ (* b_2 c) a)) c)) (* (sqrt (/ c a)) (sqrt -1))) c))
(/.f64 (-.f64 (-.f64 (/.f64 (.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 (/.f64 c (.f64 a a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a))))))) (.f64 c c)) (.f64 c (/.f64 b_2 (.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) c)
(/ 1 (- (* (sqrt (* a c)) (sqrt -1)) b_2))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)))
(/ 1 (- (* (sqrt (* a c)) (sqrt -1)) b_2))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)))
(/ 1 (- (* (sqrt (* a c)) (sqrt -1)) b_2))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)))
(/ 1 (- (* (sqrt (* a c)) (sqrt -1)) b_2))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)))
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))
(/ (+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2)))) a)
(/.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 c)) a)
(/ (- (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2))))) a)
(/.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 b_2 c))) a)
(/ (- (+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ (pow b_2 3) (* a (* (pow c 2) (pow (sqrt -1) 4))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))))) a)
(/.f64 (-.f64 (fma.f64 b_2 (/.f64 (.f64 b_2 b_2) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (.f64 a (.f64 c c)))) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 b_2 c))) a)
(* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (/ (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)) a))
(/.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b_2 c)) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (/ (* a b_2) c)) a)) (* (sqrt (/ a c)) (sqrt -1))) a))
(/.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 a (.f64 c (.f64 c c)))) (/.f64 (*.f64 a b_2) c)) a)) (neg.f64 a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* a (pow b_2 3)) (pow c 2))) (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))) a)) (/ (* a b_2) c)) a)) (* (sqrt (/ a c)) (sqrt -1))) a))
(/.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 (fma.f64 a (/.f64 b_2 c) (/.f64 (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c)))))) (/.f64 (.f64 a (.f64 b_2 (.f64 b_2 b_2))) (*.f64 c c))) a)) a)) (neg.f64 a))
(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))
(+ (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))) (/ b_2 (* a (* c (pow (sqrt -1) 2)))))
(-.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 (.f64 a c)))
(+ (* b_2 (+ (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ b_2 (pow (sqrt -1) 3))) (/ 1 (* a (* c (pow (sqrt -1) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))
(fma.f64 b_2 (fma.f64 b_2 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 a c))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))))
(+ (* b_2 (+ (* b_2 (- (/ b_2 (* (pow a 2) (* (pow c 2) (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (* a (* c (pow (sqrt -1) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))
(fma.f64 b_2 (fma.f64 b_2 (-.f64 (/.f64 b_2 (.f64 (.f64 a a) (.f64 c (.f64 c (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (.f64 a c))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))))
(/ -1 b_2)
(/.f64 #s(literal -1 binary64) b_2)
(/ (- (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) 1) b_2)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) #s(literal 1 binary64)) (neg.f64 b_2))
(/ (- (* -1 (/ (* a (* c (pow (sqrt -1) 2))) (pow b_2 2))) (+ 1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))) b_2)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 a c) b_2) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) b_2)) b_2)
(/ (- (* -1 (* (sqrt (* (pow a 3) (pow c 3))) (/ (pow (sqrt -1) 3) (pow b_2 3)))) (+ 1 (+ (* (sqrt (* a c)) (/ (sqrt -1) b_2)) (/ (* a (* c (pow (sqrt -1) 2))) (pow b_2 2))))) b_2)
(neg.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (sqrt.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c)))) (neg.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)) (.f64 a (neg.f64 c))) (.f64 b_2 b_2)) (fma.f64 (sqrt.f64 (.f64 a c)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) #s(literal 1 binary64))) b_2))
(/ -1 b_2)
(/.f64 #s(literal -1 binary64) b_2)
(* -1 (/ (+ 1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) b_2))
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) #s(literal 1 binary64)) (neg.f64 b_2))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (* a (* c (pow (sqrt -1) 2))) b_2)) (* (sqrt (* a c)) (sqrt -1))) b_2))) b_2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 a c) b_2) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) b_2)) b_2)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* (sqrt (* (pow a 3) (pow c 3))) (/ (pow (sqrt -1) 3) b_2)) (* -1 (* a (* c (pow (sqrt -1) 2))))) b_2)) (* (sqrt (* a c)) (sqrt -1))) b_2))) b_2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (sqrt.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c)))) (neg.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)) (*.f64 a (neg.f64 c))) b_2)) b_2)) (neg.f64 b_2))

eval292.0ms (3.1%)

Memory: 30.6MiB live, 635.2MiB allocated
Compiler: Compiled 50 424 to 3 423 computations (93.2% saved)

prune289.0ms (3.1%)

Memory

-11.8MiB live, 518.3MiB allocated

Pruning

31 alts after pruning (23 fresh and 8 done)

	Pruned	Kept	Total
New	2 463	13	2 476
Fresh	3	10	13
Picked	2	3	5
Done	0	5	5
Total	2 468	31	2 499

Accuracy

99.9%

Counts

2 499 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.0%	(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (neg.f64 a))) (sqrt.f64 c) (/.f64 b_2 a))
	21.8%	(/.f64 (fma.f64 (pow.f64 (pow.f64 (neg.f64 a) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 c) (neg.f64 b_2)) a)
	13.7%	(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (/.f64 a (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64))) b_2 (neg.f64 b_2)) a)
	15.3%	(/.f64 (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) b_2) a)
	18.0%	(/.f64 (fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c) b_2) a)
	15.3%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) b_2)))
	28.0%	(/.f64 (-.f64 (sqrt.f64 (.f64 c (/.f64 (neg.f64 (.f64 a a)) a))) b_2) a)
✓	36.6%	(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
	2.5%	(/.f64 (+.f64 (.f64 (/.f64 #s(literal -1 binary64) b_2) (neg.f64 (.f64 b_2 b_2))) b_2) a)
	2.6%	(/.f64 (+.f64 (neg.f64 b_2) (/.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))) #s(literal -1 binary64)) (.f64 b_2 b_2))) (sqrt.f64 (fma.f64 c (/.f64 a (*.f64 b_2 (neg.f64 b_2))) #s(literal -1 binary64))))) a)
✓	52.8%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	2.6%	(/.f64 (+.f64 b_2 b_2) a)
✓	9.4%	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
✓	34.8%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	35.7%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
	17.6%	(/.f64 (.f64 a (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a))))) (*.f64 a a))
	30.9%	(/.f64 (.f64 a c) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a))))))
✓	16.2%	(/.f64 (neg.f64 b_2) a)
	2.6%	(/.f64 b_2 a)
	17.5%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 a (+.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 c a)))))))
	34.0%	(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64))))
	36.6%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)))
	2.6%	(/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 b_2 b_2)))
	35.6%	(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
	23.8%	(.f64 (fma.f64 b_2 b_2 (.f64 c a)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))) a)))
	21.2%	(.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) b_2)
✓	36.6%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2))
	9.4%	(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
	34.6%	(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
	35.6%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
✓	9.7%	#s(literal 0 binary64)

Compiler

Compiled 989 to 449 computations (54.6% saved)

regimes61.0ms (0.7%)

Memory

17.8MiB live, 136.4MiB allocated

Counts

47 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 b_2 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 (+.f64 b_2 b_2) a)
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
(/.f64 (+.f64 (+.f64 #s(literal 0 binary64) b_2) b_2) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 b_2 b_2)))
(.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) b_2)
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64))))
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2))
(/.f64 (+.f64 (.f64 (/.f64 #s(literal -1 binary64) b_2) (neg.f64 (.f64 b_2 b_2))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (+.f64 (.f64 (.f64 b_2 (neg.f64 b_2)) (/.f64 #s(literal 1 binary64) (neg.f64 b_2))) b_2) a)
(/.f64 (fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c) b_2) a)
(/.f64 (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) b_2) a)
(neg.f64 (.f64 b_2 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a))))
(/.f64 (.f64 a (+.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a))))) (*.f64 a a))
(/.f64 (fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c) (neg.f64 b_2)) a)
(/.f64 (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) (neg.f64 b_2)) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)))
(/.f64 (.f64 a c) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a))))))
(/.f64 (-.f64 (sqrt.f64 (.f64 c (/.f64 (neg.f64 (.f64 a a)) a))) b_2) a)
(/.f64 (fma.f64 a c (.f64 b_2 b_2)) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a))))))
(.f64 (fma.f64 b_2 b_2 (.f64 c a)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (.f64 c a)))) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a a) (.f64 a (+.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 c a)))))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)))
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (/.f64 a (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64))) b_2 (neg.f64 b_2)) a)
(.f64 (fma.f64 a c (.f64 b_2 b_2)) (/.f64 #s(literal 1 binary64) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))))))
(/.f64 (/.f64 (fma.f64 a c (.f64 b_2 b_2)) a) (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (neg.f64 a))) (sqrt.f64 c) (/.f64 b_2 a))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64))))) a)
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) b_2)))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 (.f64 b_2 b_2)) (/.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (/.f64 (.f64 c (.f64 a (.f64 a c))) (fma.f64 b_2 b_2 (*.f64 a c))))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (/.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))) #s(literal -1 binary64)) (.f64 b_2 b_2))) (sqrt.f64 (fma.f64 c (/.f64 a (*.f64 b_2 (neg.f64 b_2))) #s(literal -1 binary64))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (fma.f64 a (.f64 c (.f64 c (.f64 a (.f64 a c)))) (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 c (.f64 a (*.f64 a c))))))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64))) a)
(/.f64 (fma.f64 (pow.f64 (pow.f64 (neg.f64 a) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 c) (neg.f64 b_2)) a)

Outputs
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)

Calls

4 calls:

16.0ms	b_2
15.0ms	a
14.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
14.0ms	c

Results

Accuracy	Segments	Branch
58.4%	4	`a`
87.5%	3	`b_2`
58.9%	4	`c`
77.3%	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes9.0ms (0.1%)

Memory

-16.5MiB live, 21.9MiB allocated

Counts

21 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 b_2 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 (+.f64 b_2 b_2) a)
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
(/.f64 (+.f64 (+.f64 #s(literal 0 binary64) b_2) b_2) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 b_2 b_2)))
(.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) b_2)
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64))))
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2))
(/.f64 (+.f64 (.f64 (/.f64 #s(literal -1 binary64) b_2) (neg.f64 (.f64 b_2 b_2))) b_2) a)

Outputs
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)

Calls

1 calls:

7.0ms

b_2

Results

Accuracy	Segments	Branch
84.0%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory

-11.2MiB live, 27.9MiB allocated

Counts

19 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 b_2 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 (+.f64 b_2 b_2) a)
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
(/.f64 (+.f64 (+.f64 #s(literal 0 binary64) b_2) b_2) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 b_2 b_2)))
(.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) b_2)
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64))))
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) a)

Outputs
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)

Calls

1 calls:

6.0ms

b_2

Results

Accuracy	Segments	Branch
84.0%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes15.0ms (0.2%)

Memory

-16.8MiB live, 41.1MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 b_2 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 (+.f64 b_2 b_2) a)
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
(/.f64 (+.f64 (+.f64 #s(literal 0 binary64) b_2) b_2) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 b_2 b_2)))
(.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) b_2)
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64))))

Outputs
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)

Calls

2 calls:

5.0ms	b_2
5.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
51.3%	3	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
68.1%	2	`b_2`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes4.0ms (0%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 b_2 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 (+.f64 b_2 b_2) a)
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)

Outputs
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)

Calls

1 calls:

3.0ms

b_2

Results

Accuracy	Segments	Branch
67.9%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Memory

12.0MiB live, 12.0MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 b_2 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 (+.f64 b_2 b_2) a)
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)

Outputs
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)

Calls

1 calls:

3.0ms

b_2

Results

Accuracy	Segments	Branch
67.9%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Memory

-5.2MiB live, 33.6MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 b_2 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 (+.f64 b_2 b_2) a)
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)

Outputs
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
#s(literal 0 binary64)

Calls

4 calls:

4.0ms	c
2.0ms	a
2.0ms	b_2
2.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
35.6%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
35.6%	1	`a`
35.6%	1	`c`
42.6%	2	`b_2`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes10.0ms (0.1%)

Memory

-10.4MiB live, 27.9MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 b_2 a)
(/.f64 (neg.f64 b_2) a)
(/.f64 (+.f64 b_2 b_2) a)

Outputs
(/.f64 (neg.f64 b_2) a)
#s(literal 0 binary64)

Calls

4 calls:

3.0ms	c
2.0ms	b_2
2.0ms	a
2.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
16.2%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
16.2%	1	`c`
16.2%	1	`a`
23.2%	2	`b_2`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes7.0ms (0.1%)

Memory

25.2MiB live, 25.2MiB allocated

Accuracy

Total -4.8b remaining (-8.4%)

Threshold costs -4.8b (-8.4%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 b_2 a)

Outputs
#s(literal 0 binary64)

Calls

4 calls:

2.0ms	b_2
2.0ms	a
1.0ms	c
1.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
9.7%	1	`c`
9.7%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
9.7%	1	`a`
9.7%	1	`b_2`

Compiler

Compiled 28 to 19 computations (32.1% saved)

bsearch43.0ms (0.5%)

Memory

-14.8MiB live, 62.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	4.1312533325749885e-170	2.6281786846396366e-166
17.0ms	-3.6697340506380697e+165	-2.3319796990838678e+148

Samples

23.0ms	272×	0	valid
4.0ms	55×	0	invalid
2.0ms	15×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 487 to 340 computations (30.2% saved)

Precisions

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

ival-div: 7.0ms (34.9% of total)

ival-mult: 5.0ms (24.9% of total)

ival-sub: 2.0ms (10% of total)

ival-neg: 2.0ms (10% of total)

ival-sqrt: 2.0ms (10% of total)

ival-add: 2.0ms (10% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch62.0ms (0.7%)

Memory

14.6MiB live, 51.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
48.0ms	4.1312533325749885e-170	2.6281786846396366e-166
11.0ms	-2.5976134253187822e-52	-2.1814111472717956e-53

Samples

13.0ms	205×	0	valid
4.0ms	60×	0	invalid
2.0ms	17×	1	valid
0.0ms	2×	2	valid

Compiler

Compiled 355 to 268 computations (24.5% saved)

Precisions

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

ival-mult: 4.0ms (32.5% of total)

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

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

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

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

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

adjust: 0.0ms (0% of total)

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

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

bsearch36.0ms (0.4%)

Memory

-8.7MiB live, 64.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	4.1312533325749885e-170	2.6281786846396366e-166
14.0ms	-2.5976134253187822e-52	-2.1814111472717956e-53

Samples

19.0ms	207×	0	valid
4.0ms	55×	0	invalid
2.0ms	17×	1	valid

Compiler

Compiled 327 to 240 computations (26.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-neg: 5.0ms (32.6% of total)

ival-mult: 4.0ms (26.1% of total)

ival-div: 2.0ms (13% of total)

ival-sqrt: 2.0ms (13% of total)

ival-add: 1.0ms (6.5% of total)

ival-sub: 1.0ms (6.5% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch37.0ms (0.4%)

Memory

9.3MiB live, 48.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
34.0ms	-1.0778890938016798e-302	3.0226658265978886e-290

Samples

21.0ms	176×	0	valid
5.0ms	79×	0	invalid

Compiler

Compiled 217 to 170 computations (21.7% saved)

Precisions

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

ival-div: 11.0ms (55.1% of total)

ival-mult: 3.0ms (15% of total)

ival-sqrt: 2.0ms (10% of total)

ival-sub: 1.0ms (5% of total)

ival-add: 1.0ms (5% of total)

ival-neg: 1.0ms (5% of total)

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

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

bsearch29.0ms (0.3%)

Memory

14.1MiB live, 50.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	-1.0778890938016798e-302	3.0226658265978886e-290

Samples

12.0ms	176×	0	valid
4.0ms	66×	0	invalid

Compiler

Compiled 217 to 170 computations (21.7% saved)

Precisions

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

ival-mult: 3.0ms (31.3% of total)

ival-div: 2.0ms (20.9% of total)

ival-sqrt: 2.0ms (20.9% of total)

ival-sub: 1.0ms (10.4% of total)

ival-add: 1.0ms (10.4% of total)

ival-neg: 1.0ms (10.4% of total)

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

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

bsearch32.0ms (0.3%)

Memory

-16.2MiB live, 54.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	-1.0778890938016798e-302	3.0226658265978886e-290

Samples

12.0ms	176×	0	valid
8.0ms	76×	0	invalid

Compiler

Compiled 217 to 170 computations (21.7% saved)

Precisions

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

ival-mult: 6.0ms (46.9% of total)

ival-div: 2.0ms (15.6% of total)

ival-sqrt: 2.0ms (15.6% of total)

ival-sub: 1.0ms (7.8% of total)

ival-add: 1.0ms (7.8% of total)

ival-neg: 1.0ms (7.8% of total)

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

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

bsearch30.0ms (0.3%)

Memory

7.4MiB live, 50.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	-4.191402529454995e-296	-1.0778890938016798e-302

Samples

10.0ms	144×	0	valid
4.0ms	55×	0	invalid

Compiler

Compiled 145 to 124 computations (14.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 2.0ms (24.6% of total)

ival-sub: 1.0ms (12.3% of total)

ival-div: 1.0ms (12.3% of total)

ival-add: 1.0ms (12.3% of total)

ival-sqrt: 1.0ms (12.3% of total)

ival-neg: 1.0ms (12.3% of total)

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

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

bsearch24.0ms (0.3%)

Memory

13.2MiB live, 50.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	-4.191402529454995e-296	-1.0778890938016798e-302

Samples

9.0ms	144×	0	valid
4.0ms	61×	0	invalid

Compiler

Compiled 136 to 115 computations (15.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 3.0ms (36.2% of total)

ival-sub: 1.0ms (12.1% of total)

ival-div: 1.0ms (12.1% of total)

ival-add: 1.0ms (12.1% of total)

ival-sqrt: 1.0ms (12.1% of total)

ival-neg: 1.0ms (12.1% of total)

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

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

simplify14.0ms (0.2%)

Memory

-11.4MiB live, 25.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	149
1	78	148
2	94	148
3	102	148
4	106	148
5	107	148

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -33000000000000001048389223624024295884224266204011005864804085324508318103667478843446196626567995706585972764362053538802043281420413801590467592192 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 8630992383272465/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -1684996666696915/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 8630992383272465/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008 binary64)) (.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -4744950613418513/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 8630992383272465/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008 binary64)) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal 404804506614621/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 (/.f64 #s(literal -2 binary64) a) b_2) (.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
(if (<=.f64 b_2 #s(literal -8493136544725101/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 0 binary64))
(if (<=.f64 b_2 #s(literal -8493136544725101/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936 binary64)) (/.f64 (neg.f64 b_2) a) #s(literal 0 binary64))
#s(literal 0 binary64)

Outputs
(if (<=.f64 b_2 #s(literal -33000000000000001048389223624024295884224266204011005864804085324508318103667478843446196626567995706585972764362053538802043281420413801590467592192 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 8630992383272465/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -33000000000000001048389223624024295884224266204011005864804085324508318103667478843446196626567995706585972764362053538802043281420413801590467592192 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 8630992383272465/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -1684996666696915/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 8630992383272465/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008 binary64)) (.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -1684996666696915/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 8630992383272465/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008 binary64)) (.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -4744950613418513/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 8630992383272465/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008 binary64)) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -4744950613418513/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 8630992383272465/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008 binary64)) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal 404804506614621/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
(if (<=.f64 b_2 #s(literal 404804506614621/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 (/.f64 #s(literal -2 binary64) a) b_2) (.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
(if (<=.f64 b_2 #s(literal -8493136544725101/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) #s(literal 0 binary64))
(if (<=.f64 b_2 #s(literal -8493136544725101/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936 binary64)) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) #s(literal 0 binary64))
(if (<=.f64 b_2 #s(literal -8493136544725101/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936 binary64)) (/.f64 (neg.f64 b_2) a) #s(literal 0 binary64))
(if (<=.f64 b_2 #s(literal -8493136544725101/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936 binary64)) (/.f64 b_2 (neg.f64 a)) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness1.1s (11.4%)

Memory

-103.0MiB live, 684.0MiB allocated

Rules

13 130×	`accelerator-lowering-fma.f32`
13 130×	`accelerator-lowering-fma.f64`
11 022×	`accelerator-lowering-fma.f32`
11 022×	`accelerator-lowering-fma.f64`
8 738×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	877	7533
1	2841	7310
0	8449	7017
0	22	81
1	122	81
2	805	79
0	9162	79
0	508	3200
1	1606	3160
2	5520	3144
0	8782	3008
0	31	164
1	191	147
2	1548	137
0	8329	133

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

Compiler

Compiled 398 to 236 computations (40.7% saved)

preprocess181.0ms (1.9%)

Memory: -8.8MiB live, 164.1MiB allocated
Compiler: Compiled 518 to 180 computations (65.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	50
1	21	48
2	38	48
3	67	48
4	106	48
5	182	48
6	314	48
7	460	48
8	802	48
9	915	48
10	947	48
11	958	48
12	959	48
0	959	48

Iter	Nodes	Cost
0	10	50
1	21	48
2	38	48
3	67	48
4	106	48
5	182	48
6	314	48
7	460	48
8	802	48
9	915	48
10	947	48
11	958	48
12	959	48
0	959	48

analyze113.0ms (1.2%)

sample1.6s (17.4%)

preprocess122.0ms (1.3%)

explain154.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify39.0ms (0.4%)

localize52.0ms (0.6%)

series20.0ms (0.2%)

rewrite277.0ms (3%)

simplify438.0ms (4.7%)

eval76.0ms (0.8%)

prune135.0ms (1.5%)

simplify243.0ms (2.6%)

localize165.0ms (1.8%)

series148.0ms (1.6%)

rewrite525.0ms (5.6%)

simplify484.0ms (5.2%)

eval221.0ms (2.4%)

prune183.0ms (2%)

simplify303.0ms (3.2%)

localize85.0ms (0.9%)

series27.0ms (0.3%)

rewrite79.0ms (0.8%)

simplify389.0ms (4.2%)

eval89.0ms (1%)

prune100.0ms (1.1%)

simplify87.0ms (0.9%)

localize72.0ms (0.8%)

series64.0ms (0.7%)

rewrite325.0ms (3.5%)

simplify437.0ms (4.7%)

eval292.0ms (3.1%)

prune289.0ms (3.1%)

regimes61.0ms (0.7%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes15.0ms (0.2%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch43.0ms (0.5%)

bsearch62.0ms (0.7%)

bsearch36.0ms (0.4%)

bsearch37.0ms (0.4%)

bsearch29.0ms (0.3%)

bsearch32.0ms (0.3%)

bsearch30.0ms (0.3%)

bsearch24.0ms (0.3%)

simplify14.0ms (0.2%)

soundness1.1s (11.4%)

preprocess181.0ms (1.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	50
1	21	48
2	38	48
3	67	48
4	106	48
5	182	48
6	314	48
7	460	48
8	802	48
9	915	48
10	947	48
11	958	48
12	959	48
0	959	48