Metrics for quad2p (problem 3.2.1, positive)

analyze238.0ms (2.2%)

Memory

-24.8MiB live, 151.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	5
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	6
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 (15.1%)

Memory

48.6MiB live, 1 772.3MiB allocated

Samples

544.0ms	5 576×	0	valid
290.0ms	1 093×	2	valid
251.0ms	1 367×	1	valid
97.0ms	212×	3	valid
71.0ms	1 094×	0	invalid
2.0ms	8×	4	valid

Precisions

Click to see histograms. Total time spent on operations: 904.0ms

ival-mult: 216.0ms (23.9% of total)

ival-div: 143.0ms (15.8% of total)

ival-add: 131.0ms (14.5% of total)

ival-sqrt: 114.0ms (12.6% of total)

ival-neg: 99.0ms (11% of total)

ival-sub: 98.0ms (10.8% of total)

adjust: 92.0ms (10.2% of total)

ival-true: 8.0ms (0.9% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

preprocess113.0ms (1.1%)

Memory

21.0MiB live, 95.9MiB 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)

explain201.0ms (1.9%)

Memory

-59.6MiB live, 303.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
100	-	1	(4.9210696404916e-230 -1.4289082865929232e-297 -3.382675174237945e-92)	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
53	-	0	-	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
13	-	1	(4.134548721536282e-298 2.9606790031489898e-30 -1.036980866754413e-47)	`(/.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	94	0
↳	`(*.f64 b_2 b_2)`	overflow	85
↳	`(*.f64 a c)`	overflow	17
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	overflow	94
`+.f64`	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	cancellation	53	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`	u/n	12	0
↳	`(*.f64 b_2 b_2)`	underflow	42
↳	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	underflow	25
↳	`(*.f64 a c)`	underflow	39
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	5
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	uflow-rescue	5	0
↳	`(*.f64 b_2 b_2)`	underflow	42
↳	`(*.f64 a c)`	underflow	39
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	5
`-.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	17

Confusion

	Predicted +	Predicted -
+	113	1
-	28	114

Precision

0.8014184397163121

Recall

0.9912280701754386

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	113	0	1
-	28	0	114

Precision?

0.8014184397163121

Recall?

0.9912280701754386

Freqs

test

number	freq
0	115
1	117
2	22
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

49.0ms	362×	0	valid
12.0ms	80×	1	valid
10.0ms	48×	2	valid
6.0ms	22×	3	valid

Compiler

Compiled 136 to 44 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-div: 27.0ms (48.4% of total)

ival-mult: 9.0ms (16.1% of total)

ival-sqrt: 6.0ms (10.8% of total)

ival-neg: 4.0ms (7.2% of total)

ival-add: 4.0ms (7.2% of total)

ival-sub: 3.0ms (5.4% of total)

adjust: 3.0ms (5.4% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.7%	(/.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)

simplify34.0ms (0.3%)

Memory

9.1MiB live, 46.8MiB 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

localize47.0ms (0.4%)

Memory

-2.5MiB live, 78.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	95.8%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	accuracy	81.4%	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	accuracy	63.6%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Samples

17.0ms	181×	0	valid
6.0ms	11×	3	valid
6.0ms	40×	1	valid
5.0ms	24×	2	valid

Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions

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

ival-mult: 8.0ms (34.6% of total)

adjust: 4.0ms (17.3% of total)

ival-div: 3.0ms (13% of total)

ival-sqrt: 3.0ms (13% of total)

ival-sub: 2.0ms (8.7% of total)

ival-neg: 2.0ms (8.7% of total)

ival-add: 2.0ms (8.7% of total)

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

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

series42.0ms (0.4%)

Memory

-0.2MiB live, 37.1MiB 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
24.0ms	a	@	inf	(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
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	c	@	0	(+ (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)

rewrite281.0ms (2.6%)

Memory

-10.0MiB live, 545.8MiB 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)))))

simplify538.0ms (5.1%)

Memory

15.7MiB live, 650.6MiB 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)))

eval120.0ms (1.1%)

Memory: 17.7MiB live, 168.0MiB allocated
Compiler: Compiled 18 573 to 2 104 computations (88.7% saved)

prune96.0ms (0.9%)

Memory

0.8MiB live, 209.6MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	593	12	605
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	593	13	606

Accuracy

94.3%

Counts

606 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.0%	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
	11.8%	(/.f64 (+.f64 (neg.f64 b_2) (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2)) a)
	35.4%	(/.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)
	26.9%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))) a)
✓	58.7%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	7.3%	(/.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)
	14.5%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))))) a)
▶	41.5%	(/.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)
▶	38.2%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
▶	11.3%	(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
	31.9%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
▶	38.1%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
▶	31.4%	(.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)))

Compiler

Compiled 482 to 274 computations (43.2% saved)

simplify168.0ms (1.6%)

Memory

-7.1MiB live, 340.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 a #s(literal -1/8 binary64))
✓	cost-diff	0	(/.f64 (.f64 a #s(literal -1/8 binary64)) (.f64 b_2 (*.f64 b_2 b_2)))
✓	cost-diff	0	(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))
✓	cost-diff	320	(.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)))
✓	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	(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)))

Rules

3 548×	`-lowering-.f32`
3 548×	`-lowering-.f64`
2 816×	`accelerator-lowering-fma.f32`
2 816×	`accelerator-lowering-fma.f64`
1 534×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	209
1	87	203
2	235	194
3	838	166
4	2851	166
5	4385	166
6	7356	166
0	8063	164

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (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
(/ (* 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
(* c (+ (* c (/ (* a -1/8) (* b_2 (* b_2 b_2)))) (/ -1/2 b_2)))
c
(+ (* c (/ (* a -1/8) (* b_2 (* b_2 b_2)))) (/ -1/2 b_2))
(/ (* a -1/8) (* b_2 (* b_2 b_2)))
(* a -1/8)
a
-1/8
(* b_2 (* b_2 b_2))
b_2
(* b_2 b_2)
(/ -1/2 b_2)
-1/2

Outputs
(/ (+ (neg b_2) (sqrt (* (* b_2 b_2) (+ (* a (/ c (* b_2 (neg b_2)))) 1)))) a)
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))) b_2) a)
(+ (neg b_2) (sqrt (* (* b_2 b_2) (+ (* a (/ c (* b_2 (neg b_2)))) 1))))
(-.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))) 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 a (neg.f64 c) (*.f64 b_2 b_2)))
(* (* b_2 b_2) (+ (* a (/ c (* b_2 (neg b_2)))) 1))
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(* b_2 b_2)
(*.f64 b_2 b_2)
(+ (* a (/ c (* b_2 (neg b_2)))) 1)
(-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2))))
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)
(/ (* b_2 -2) a)
(*.f64 #s(literal -2 binary64) (/.f64 b_2 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 (neg.f64 (*.f64 a c))) b_2) a)
(+ (neg b_2) (sqrt (* a (neg c))))
(-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)
(neg b_2)
(neg.f64 b_2)
b_2
(sqrt (* a (neg c)))
(sqrt.f64 (neg.f64 (*.f64 a c)))
(* a (neg c))
(neg.f64 (*.f64 a c))
a
(neg c)
(neg.f64 c)
c
(* c (+ (* c (/ (* a -1/8) (* b_2 (* b_2 b_2)))) (/ -1/2 b_2)))
(.f64 (/.f64 c b_2) (fma.f64 a (.f64 #s(literal -1/8 binary64) (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64)))
c
(+ (* c (/ (* a -1/8) (* b_2 (* b_2 b_2)))) (/ -1/2 b_2))
(fma.f64 (.f64 a c) (/.f64 #s(literal -1/8 binary64) (.f64 b_2 (*.f64 b_2 b_2))) (/.f64 #s(literal -1/2 binary64) b_2))
(/ (* a -1/8) (* b_2 (* b_2 b_2)))
(/.f64 (.f64 a #s(literal -1/8 binary64)) (.f64 b_2 (*.f64 b_2 b_2)))
(* a -1/8)
(*.f64 a #s(literal -1/8 binary64))
a
-1/8
#s(literal -1/8 binary64)
(* b_2 (* b_2 b_2))
(.f64 b_2 (.f64 b_2 b_2))
b_2
(* b_2 b_2)
(*.f64 b_2 b_2)
(/ -1/2 b_2)
(/.f64 #s(literal -1/2 binary64) b_2)
-1/2
#s(literal -1/2 binary64)

localize151.0ms (1.4%)

Memory

-8.8MiB live, 278.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 b_2 (.f64 b_2 b_2))
✓	accuracy	97.4%	(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))
✓	accuracy	96.9%	(.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)))
✓	accuracy	95.8%	(/.f64 (.f64 a #s(literal -1/8 binary64)) (.f64 b_2 (*.f64 b_2 b_2)))
✓	accuracy	100.0%	(neg.f64 b_2)
✓	accuracy	100.0%	(+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))
✓	accuracy	99.9%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
✓	accuracy	84.9%	(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	90.5%	(+.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	89.9%	(/.f64 c (*.f64 b_2 (neg.f64 b_2)))
✓	accuracy	84.1%	(.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64)))
✓	accuracy	78.5%	(sqrt.f64 (.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64))))

Samples

54.0ms	133×	0	valid
26.0ms	82×	0	invalid
11.0ms	14×	2	valid
8.0ms	19×	1	valid
6.0ms	7×	3	valid
1.0ms	1×	4	valid

Compiler

Compiled 210 to 35 computations (83.3% saved)

Precisions

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

ival-mult: 30.0ms (47.9% of total)

ival-div: 16.0ms (25.6% of total)

ival-add: 7.0ms (11.2% of total)

ival-sqrt: 4.0ms (6.4% of total)

ival-neg: 3.0ms (4.8% of total)

adjust: 2.0ms (3.2% of total)

exact: 1.0ms (1.6% of total)

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

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

series46.0ms (0.4%)

Memory

9.3MiB live, 86.1MiB allocated

Counts

18 → 468

Calls

Call 1

Inputs
#<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 (neg b_2)>
#<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 (* c (+ (* c (/ (* a -1/8) (* b_2 (* b_2 b_2)))) (/ -1/2 b_2)))>
#<alt (+ (* c (/ (* a -1/8) (* b_2 (* b_2 b_2)))) (/ -1/2 b_2))>
#<alt (/ (* a -1/8) (* b_2 (* b_2 b_2)))>
#<alt (* a -1/8)>
#<alt (sqrt (* (* b_2 b_2) (+ (* a (/ c (* b_2 (neg b_2)))) 1)))>
#<alt (/ c (* b_2 (neg b_2)))>
#<alt (* b_2 (* b_2 b_2))>

Outputs
#<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 (* -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 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 (* -1/2 (/ c b_2))>
#<alt (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))>
#<alt (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))>
#<alt (* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))>
#<alt (* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))>
#<alt (* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))>
#<alt (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))>
#<alt (* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))>
#<alt (* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))>
#<alt (* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))>
#<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)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))>
#<alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))>
#<alt (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))>
#<alt (* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))>
#<alt (* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))>
#<alt (* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))>
#<alt (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))>
#<alt (* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))>
#<alt (* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))>
#<alt (* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))>
#<alt (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))>
#<alt (/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))>
#<alt (/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))>
#<alt (/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))>
#<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)))) b_2)>
#<alt (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (* -1/2 (/ c b_2))>
#<alt (* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))>
#<alt (* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))>
#<alt (* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))>
#<alt (/ -1/2 b_2)>
#<alt (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))>
#<alt (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))>
#<alt (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))>
#<alt (* -1/8 (/ (* a c) (pow b_2 3)))>
#<alt (* c (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))>
#<alt (* c (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))>
#<alt (* c (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))>
#<alt (* -1/8 (/ (* a c) (pow b_2 3)))>
#<alt (* -1 (* c (+ (* 1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c))))))>
#<alt (* -1 (* c (+ (* 1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c))))))>
#<alt (* -1 (* c (+ (* 1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c))))))>
#<alt (/ -1/2 b_2)>
#<alt (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))>
#<alt (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))>
#<alt (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))>
#<alt (* -1/8 (/ (* a c) (pow b_2 3)))>
#<alt (* a (- (* -1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2)))))>
#<alt (* a (- (* -1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2)))))>
#<alt (* a (- (* -1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2)))))>
#<alt (* -1/8 (/ (* a c) (pow b_2 3)))>
#<alt (* -1 (* a (+ (* 1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2))))))>
#<alt (* -1 (* a (+ (* 1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2))))))>
#<alt (* -1 (* a (+ (* 1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2))))))>
#<alt (* -1/8 (/ (* a c) (pow b_2 3)))>
#<alt (/ (+ (* -1/2 (pow b_2 2)) (* -1/8 (* a c))) (pow b_2 3))>
#<alt (/ (+ (* -1/2 (pow b_2 2)) (* -1/8 (* a c))) (pow b_2 3))>
#<alt (/ (+ (* -1/2 (pow b_2 2)) (* -1/8 (* a c))) (pow b_2 3))>
#<alt (/ -1/2 b_2)>
#<alt (/ (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2) b_2)>
#<alt (/ (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2) b_2)>
#<alt (/ (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2) b_2)>
#<alt (/ -1/2 b_2)>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ (* a c) (pow b_2 2)))) b_2))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ (* a c) (pow b_2 2)))) b_2))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ (* a c) (pow b_2 2)))) b_2))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 (/ a (pow b_2 3)))>
#<alt (* -1/8 a)>
#<alt (* -1/8 a)>
#<alt (* -1/8 a)>
#<alt (* -1/8 a)>
#<alt (* -1/8 a)>
#<alt (* -1/8 a)>
#<alt (* -1/8 a)>
#<alt (* -1/8 a)>
#<alt (* -1/8 a)>
#<alt (* -1/8 a)>
#<alt (* -1/8 a)>
#<alt (* -1/8 a)>
#<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)))>
#<alt (pow b_2 3)>
#<alt (pow b_2 3)>
#<alt (pow b_2 3)>
#<alt (pow b_2 3)>
#<alt (pow b_2 3)>
#<alt (pow b_2 3)>
#<alt (pow b_2 3)>
#<alt (pow b_2 3)>
#<alt (pow b_2 3)>
#<alt (pow b_2 3)>
#<alt (pow b_2 3)>
#<alt (pow b_2 3)>

Calls

117 calls:

Time	Variable		Point	Expression
7.0ms	a	@	inf	(* a -1/8)
2.0ms	c	@	0	(+ (neg b_2) (sqrt (* (* b_2 b_2) (+ (* a (/ c (* b_2 (neg b_2)))) 1))))
2.0ms	b_2	@	0	(/ (* b_2 -2) a)
1.0ms	c	@	0	(* c (+ (* c (/ (* a -1/8) (* b_2 (* b_2 b_2)))) (/ -1/2 b_2)))
1.0ms	a	@	0	(+ (neg b_2) (sqrt (* (* b_2 b_2) (+ (* a (/ c (* b_2 (neg b_2)))) 1))))

rewrite376.0ms (3.5%)

Memory

-14.3MiB live, 506.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 970×	`accelerator-lowering-fma.f32`
5 970×	`accelerator-lowering-fma.f64`
4 906×	`-lowering-.f32`
4 906×	`-lowering-.f64`
4 766×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	157
1	193	148
2	1588	145
0	8689	139

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 932

Calls

Call 1

Inputs
(* (* 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)
(neg b_2)
(/ (* 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)))
(* c (+ (* c (/ (* a -1/8) (* b_2 (* b_2 b_2)))) (/ -1/2 b_2)))
(+ (* c (/ (* a -1/8) (* b_2 (* b_2 b_2)))) (/ -1/2 b_2))
(/ (* a -1/8) (* b_2 (* b_2 b_2)))
(* a -1/8)
(sqrt (* (* b_2 b_2) (+ (* a (/ c (* b_2 (neg b_2)))) 1)))
(/ c (* b_2 (neg b_2)))
(* b_2 (* b_2 b_2))

Outputs
(+.f64 (.f64 b_2 b_2) (.f64 (neg.f64 (/.f64 c (.f64 b_2 b_2))) (.f64 a (*.f64 b_2 b_2))))
(+.f64 (.f64 (neg.f64 (/.f64 c (.f64 b_2 b_2))) (.f64 a (.f64 b_2 b_2))) (*.f64 b_2 b_2))
(exp.f64 (log.f64 (.f64 b_2 (fma.f64 b_2 (/.f64 (neg.f64 (.f64 a c)) (*.f64 b_2 b_2)) b_2))))
(exp.f64 (.f64 (log.f64 (.f64 b_2 (fma.f64 b_2 (/.f64 (neg.f64 (.f64 a c)) (.f64 b_2 b_2)) b_2))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 b_2 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 c (*.f64 b_2 b_2))) #s(literal 1 binary64))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 b_2 (fma.f64 b_2 (/.f64 (neg.f64 (.f64 a c)) (.f64 b_2 b_2)) b_2)) (.f64 b_2 (fma.f64 b_2 (/.f64 (neg.f64 (.f64 a c)) (.f64 b_2 b_2)) b_2)))) #s(literal 1/2 binary64)))
(fabs.f64 (.f64 b_2 (fma.f64 b_2 (/.f64 (neg.f64 (.f64 a c)) (*.f64 b_2 b_2)) b_2)))
(-.f64 (/.f64 (.f64 (.f64 (neg.f64 (/.f64 c (.f64 b_2 b_2))) (.f64 a (.f64 b_2 b_2))) (.f64 (neg.f64 (/.f64 c (.f64 b_2 b_2))) (.f64 a (.f64 b_2 b_2)))) (-.f64 (.f64 (neg.f64 (/.f64 c (.f64 b_2 b_2))) (.f64 a (.f64 b_2 b_2))) (.f64 b_2 b_2))) (/.f64 (.f64 (.f64 b_2 (.f64 b_2 b_2)) b_2) (-.f64 (.f64 (neg.f64 (/.f64 c (.f64 b_2 b_2))) (.f64 a (.f64 b_2 b_2))) (.f64 b_2 b_2))))
(sqrt.f64 (.f64 (.f64 b_2 (fma.f64 b_2 (/.f64 (neg.f64 (.f64 a c)) (.f64 b_2 b_2)) b_2)) (.f64 b_2 (fma.f64 b_2 (/.f64 (neg.f64 (.f64 a c)) (*.f64 b_2 b_2)) b_2))))
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(.f64 (/.f64 (.f64 a #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 b_2 #s(literal 3/2 binary64))))
(*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 b_2 #s(literal 3/2 binary64))) (/.f64 a (pow.f64 b_2 #s(literal 3/2 binary64))))
(*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 b_2 #s(literal 3/2 binary64))) (/.f64 (neg.f64 a) (pow.f64 b_2 #s(literal 3/2 binary64))))
(*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3/2 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 b_2 #s(literal 3/2 binary64))))
(*.f64 (/.f64 a (pow.f64 b_2 #s(literal 3/2 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 b_2 #s(literal 3/2 binary64))))
(.f64 (/.f64 (.f64 a #s(literal -1/8 binary64)) (neg.f64 (neg.f64 b_2))) (/.f64 (/.f64 #s(literal 1 binary64) b_2) b_2))
(.f64 (/.f64 (.f64 a #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 b_2 (.f64 b_2 b_2))))
(.f64 (/.f64 (.f64 a #s(literal -1/8 binary64)) (*.f64 (neg.f64 b_2) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) b_2) b_2))
(*.f64 (/.f64 #s(literal -1/8 binary64) (neg.f64 (neg.f64 b_2))) (/.f64 (/.f64 a b_2) b_2))
(.f64 (/.f64 #s(literal -1/8 binary64) (neg.f64 b_2)) (/.f64 a (.f64 b_2 b_2)))
(.f64 (/.f64 #s(literal -1/8 binary64) (neg.f64 b_2)) (/.f64 (neg.f64 a) (.f64 b_2 b_2)))
(*.f64 (/.f64 #s(literal -1/8 binary64) (neg.f64 b_2)) (/.f64 (/.f64 a b_2) (neg.f64 b_2)))
(.f64 (/.f64 #s(literal -1/8 binary64) (.f64 b_2 (neg.f64 b_2))) (/.f64 a b_2))
(.f64 (/.f64 #s(literal -1/8 binary64) (.f64 b_2 (neg.f64 b_2))) (/.f64 (neg.f64 a) b_2))
(.f64 (/.f64 #s(literal 1/8 binary64) (.f64 b_2 b_2)) (/.f64 a b_2))
(.f64 (/.f64 #s(literal 1/8 binary64) (.f64 b_2 b_2)) (/.f64 a (neg.f64 b_2)))
(*.f64 (/.f64 a (pow.f64 (neg.f64 b_2) #s(literal 3/2 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (neg.f64 b_2) #s(literal 3/2 binary64))))
(*.f64 (/.f64 a (pow.f64 (neg.f64 b_2) #s(literal 3/2 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (neg.f64 b_2) #s(literal 3/2 binary64))))
(*.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (neg.f64 b_2) #s(literal 3/2 binary64))) (/.f64 a (pow.f64 (neg.f64 b_2) #s(literal 3/2 binary64))))
(*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (neg.f64 b_2) #s(literal 3/2 binary64))) (/.f64 a (pow.f64 (neg.f64 b_2) #s(literal 3/2 binary64))))
(*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (neg.f64 b_2) #s(literal 3/2 binary64))) (/.f64 (neg.f64 a) (pow.f64 (neg.f64 b_2) #s(literal 3/2 binary64))))
(*.f64 (/.f64 (neg.f64 a) (pow.f64 (neg.f64 b_2) #s(literal 3/2 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (neg.f64 b_2) #s(literal 3/2 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 b_2) #s(literal 3/2 binary64))) (/.f64 (.f64 a #s(literal -1/8 binary64)) (pow.f64 (neg.f64 b_2) #s(literal 3/2 binary64))))
(*.f64 (/.f64 (/.f64 a b_2) b_2) (/.f64 #s(literal -1/8 binary64) b_2))
(*.f64 (/.f64 (/.f64 a b_2) b_2) (/.f64 #s(literal -1/8 binary64) (neg.f64 (neg.f64 b_2))))
(*.f64 (/.f64 (/.f64 a b_2) (neg.f64 (neg.f64 b_2))) (/.f64 #s(literal -1/8 binary64) b_2))
(.f64 (/.f64 (/.f64 a b_2) #s(literal 1 binary64)) (/.f64 #s(literal -1/8 binary64) (.f64 b_2 b_2)))
(*.f64 (/.f64 (/.f64 a b_2) (neg.f64 b_2)) (/.f64 #s(literal -1/8 binary64) (neg.f64 b_2)))
(.f64 (/.f64 (/.f64 a b_2) (.f64 b_2 b_2)) #s(literal -1/8 binary64))
(.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (neg.f64 b_2) #s(literal -1 binary64))) (/.f64 (/.f64 a b_2) b_2))
(.f64 (/.f64 (/.f64 a b_2) #s(literal -1 binary64)) (/.f64 #s(literal -1/8 binary64) (.f64 b_2 (neg.f64 b_2))))
(.f64 (/.f64 (/.f64 a b_2) (.f64 (neg.f64 b_2) #s(literal -1 binary64))) (/.f64 #s(literal -1/8 binary64) b_2))
(*.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 b_2 #s(literal 3/2 binary64))) (/.f64 a (pow.f64 b_2 #s(literal 3/2 binary64))))
(*.f64 (/.f64 (neg.f64 a) (pow.f64 b_2 #s(literal 3/2 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 b_2 #s(literal 3/2 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 b_2 #s(literal 3/2 binary64))) (/.f64 (.f64 a #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3/2 binary64))))
(*.f64 a #s(literal -1/8 binary64))
(*.f64 #s(literal -1/8 binary64) a)
(exp.f64 (log.f64 (.f64 b_2 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 c (.f64 b_2 b_2))) #s(literal 1 binary64))))))
(fabs.f64 (.f64 b_2 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 c (.f64 b_2 b_2))) #s(literal 1 binary64)))))
(sqrt.f64 (.f64 b_2 (fma.f64 b_2 (/.f64 (neg.f64 (.f64 a c)) (*.f64 b_2 b_2)) b_2)))
(/.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (.f64 a c) (.f64 (.f64 a c) (.f64 a c))) (.f64 (.f64 b_2 b_2) (.f64 (.f64 b_2 (.f64 b_2 b_2)) b_2))) (.f64 (.f64 b_2 b_2) (.f64 (.f64 b_2 (.f64 b_2 b_2)) b_2)) (.f64 (.f64 b_2 b_2) (.f64 (.f64 b_2 (.f64 b_2 b_2)) b_2)))) (sqrt.f64 (fma.f64 (.f64 (neg.f64 (/.f64 c (.f64 b_2 b_2))) (.f64 a (.f64 b_2 b_2))) (.f64 (neg.f64 (/.f64 c (.f64 b_2 b_2))) (.f64 a (.f64 b_2 b_2))) (-.f64 (.f64 (.f64 b_2 (.f64 b_2 b_2)) b_2) (.f64 (.f64 (neg.f64 (/.f64 c (.f64 b_2 b_2))) (.f64 a (.f64 b_2 b_2))) (*.f64 b_2 b_2))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 (neg.f64 (/.f64 c (.f64 b_2 b_2))) (.f64 a (.f64 b_2 b_2))) (.f64 (neg.f64 (/.f64 c (.f64 b_2 b_2))) (.f64 a (.f64 b_2 b_2)))) (.f64 (.f64 b_2 (.f64 b_2 b_2)) b_2))) (sqrt.f64 (-.f64 (.f64 (neg.f64 (/.f64 c (.f64 b_2 b_2))) (.f64 a (.f64 b_2 b_2))) (*.f64 b_2 b_2))))
(/.f64 (sqrt.f64 (.f64 (.f64 b_2 b_2) (fma.f64 (.f64 a (.f64 a a)) (/.f64 (.f64 c (.f64 c c)) (.f64 (.f64 b_2 b_2) (.f64 (.f64 b_2 (.f64 b_2 b_2)) b_2))) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 (.f64 b_2 (.f64 b_2 b_2)) b_2)) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 a c)) (*.f64 b_2 b_2))))))
(/.f64 (sqrt.f64 (.f64 (.f64 b_2 b_2) (+.f64 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 (.f64 b_2 (.f64 b_2 b_2)) b_2)) #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 c (*.f64 b_2 b_2))) #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (/.f64 (.f64 c (.f64 c c)) (.f64 (.f64 b_2 b_2) (.f64 (.f64 b_2 (.f64 b_2 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 (.f64 b_2 (.f64 b_2 b_2)) b_2)) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (.f64 a c)) (*.f64 b_2 b_2))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 (.f64 b_2 (.f64 b_2 b_2)) b_2)) #s(literal -1 binary64)) (.f64 b_2 b_2))) (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 c (*.f64 b_2 b_2))) #s(literal -1 binary64))))
(pow.f64 (.f64 b_2 (fma.f64 b_2 (/.f64 (neg.f64 (.f64 a c)) (*.f64 b_2 b_2)) b_2)) #s(literal 1/2 binary64))
(pow.f64 (.f64 b_2 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 c (.f64 b_2 b_2))) #s(literal 1 binary64)))) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 b_2 (fma.f64 b_2 (/.f64 (neg.f64 (.f64 a c)) (.f64 b_2 b_2)) b_2)) (.f64 b_2 (fma.f64 b_2 (/.f64 (neg.f64 (.f64 a c)) (*.f64 b_2 b_2)) b_2))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (.f64 b_2 (fma.f64 b_2 (/.f64 (neg.f64 (.f64 a c)) (*.f64 b_2 b_2)) b_2)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(.f64 b_2 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 c (.f64 b_2 b_2))) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 c (.f64 b_2 b_2))) #s(literal 1 binary64))) b_2)
(.f64 (sqrt.f64 b_2) (sqrt.f64 (fma.f64 b_2 (/.f64 (neg.f64 (.f64 a c)) (*.f64 b_2 b_2)) b_2)))
(.f64 (sqrt.f64 b_2) (pow.f64 (sqrt.f64 (.f64 (fma.f64 a (neg.f64 (/.f64 c (.f64 b_2 b_2))) #s(literal 1 binary64)) (.f64 b_2 (fma.f64 b_2 (/.f64 (neg.f64 (.f64 a c)) (.f64 b_2 b_2)) b_2)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 b_2) (sqrt.f64 (sqrt.f64 (.f64 (fma.f64 a (neg.f64 (/.f64 c (.f64 b_2 b_2))) #s(literal 1 binary64)) (.f64 b_2 (fma.f64 b_2 (/.f64 (neg.f64 (.f64 a c)) (.f64 b_2 b_2)) b_2))))))
(.f64 (sqrt.f64 (fma.f64 b_2 (/.f64 (neg.f64 (.f64 a c)) (*.f64 b_2 b_2)) b_2)) (sqrt.f64 b_2))
(.f64 (pow.f64 (.f64 b_2 (fma.f64 b_2 (/.f64 (neg.f64 (.f64 a c)) (.f64 b_2 b_2)) b_2)) #s(literal 1/4 binary64)) (pow.f64 (.f64 b_2 (fma.f64 b_2 (/.f64 (neg.f64 (.f64 a c)) (*.f64 b_2 b_2)) b_2)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 b_2 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 c (.f64 b_2 b_2))) #s(literal 1 binary64)))) b_2) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 c (*.f64 b_2 b_2))) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 b_2 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 c (.f64 b_2 b_2))) #s(literal 1 binary64))))) (sqrt.f64 (.f64 b_2 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 c (*.f64 b_2 b_2))) #s(literal 1 binary64))))))
(.f64 (sqrt.f64 (.f64 (.f64 b_2 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 c (.f64 b_2 b_2))) #s(literal 1 binary64)))) b_2)) (sqrt.f64 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 c (*.f64 b_2 b_2))) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (neg.f64 (/.f64 (.f64 b_2 b_2) c))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 b_2 b_2)) (/.f64 c (.f64 b_2 b_2)))
(neg.f64 (/.f64 c (*.f64 b_2 b_2)))
(neg.f64 (/.f64 (/.f64 c b_2) b_2))
(/.f64 c (*.f64 b_2 (neg.f64 b_2)))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 b_2 b_2) c)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 (*.f64 b_2 b_2) c)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b_2) (/.f64 c b_2)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 b_2 b_2) c)))))
(/.f64 (neg.f64 c) (*.f64 b_2 b_2))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 b_2 b_2) c))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 (/.f64 (*.f64 b_2 b_2) c)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 b_2) (/.f64 c b_2))))
(/.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)
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 b_2 b_2)) (.f64 (.f64 b_2 b_2) c)) (.f64 (.f64 b_2 (*.f64 b_2 b_2)) b_2))
(/.f64 (neg.f64 (.f64 c #s(literal 1 binary64))) (.f64 b_2 b_2))
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (*.f64 b_2 b_2))
(/.f64 (neg.f64 (neg.f64 (/.f64 c b_2))) (neg.f64 (neg.f64 (neg.f64 b_2))))
(/.f64 (neg.f64 (/.f64 c (neg.f64 b_2))) (neg.f64 b_2))
(/.f64 (neg.f64 (/.f64 (/.f64 c b_2) #s(literal -1 binary64))) (neg.f64 b_2))
(pow.f64 (neg.f64 (/.f64 (*.f64 b_2 b_2) c)) #s(literal -1 binary64))
(pow.f64 (/.f64 (neg.f64 (/.f64 (*.f64 b_2 b_2) c)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (neg.f64 b_2) (/.f64 c b_2)) #s(literal -1 binary64))
(.f64 c (/.f64 #s(literal -1 binary64) (.f64 b_2 b_2)))
(.f64 #s(literal 1 binary64) (neg.f64 (/.f64 c (.f64 b_2 b_2))))
(.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) (.f64 b_2 b_2)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 b_2 b_2)) c)
(.f64 (/.f64 #s(literal -1 binary64) (.f64 b_2 b_2)) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 b_2 b_2)) (/.f64 c #s(literal 1 binary64)))
(*.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 #s(literal -1 binary64) (/.f64 c (.f64 b_2 b_2)))
(*.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 (/.f64 c (.f64 b_2 b_2)) #s(literal -1 binary64))
(*.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 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 #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 #s(literal -1 binary64) (.f64 (neg.f64 b_2) #s(literal -1 binary64))) (/.f64 c 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 (.f64 (neg.f64 b_2) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) b_2))
(exp.f64 (*.f64 (log.f64 b_2) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 b_2)) #s(literal 3 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 b_2 (.f64 b_2 b_2)))
(neg.f64 (.f64 b_2 (.f64 b_2 b_2)))
(/.f64 (.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 (.f64 b_2 b_2) (.f64 (.f64 b_2 (.f64 b_2 b_2)) b_2))) (pow.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (-.f64 b_2 b_2))) #s(literal 3 binary64)))
(/.f64 (.f64 (.f64 b_2 b_2) (.f64 (.f64 b_2 (*.f64 b_2 b_2)) b_2)) (pow.f64 (+.f64 #s(literal 0 binary64) b_2) #s(literal 3 binary64)))
(pow.f64 b_2 #s(literal 3 binary64))
(pow.f64 (*.f64 b_2 b_2) #s(literal 3/2 binary64))
(pow.f64 (neg.f64 b_2) #s(literal 3 binary64))
(pow.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (neg.f64 b_2) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 b_2)) #s(literal 3 binary64))
(pow.f64 (exp.f64 (log.f64 (neg.f64 b_2))) #s(literal 3 binary64))
(.f64 b_2 (.f64 b_2 b_2))
(.f64 b_2 (.f64 b_2 (neg.f64 b_2)))
(.f64 (.f64 b_2 b_2) b_2)
(.f64 (.f64 b_2 b_2) (neg.f64 b_2))
(.f64 (neg.f64 b_2) (.f64 b_2 b_2))
(.f64 (.f64 b_2 (neg.f64 b_2)) b_2)
(.f64 (.f64 b_2 (*.f64 b_2 b_2)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 b_2 (*.f64 b_2 b_2)))
(*.f64 (pow.f64 b_2 #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (neg.f64 b_2) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 b_2) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 b_2) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 b_2) #s(literal 3 binary64)))

simplify371.0ms (3.5%)

Memory

29.0MiB live, 533.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 174×	`accelerator-lowering-fma.f32`
12 174×	`accelerator-lowering-fma.f64`
7 888×	`-lowering-.f32`
7 888×	`-lowering-.f64`
2 306×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	580	5790
1	1825	5712
2	6345	5685
0	8147	5471

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

Calls

Call 1

Inputs
(* -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)))))
(* -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)
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)))
(* -1/2 (/ c b_2))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* -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)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))
(* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))
(* -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)))) b_2)
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)
(* -1/2 (/ c b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(/ -1/2 b_2)
(- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))
(- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))
(- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))
(* -1/8 (/ (* a c) (pow b_2 3)))
(* c (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* c (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* c (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(* -1/8 (/ (* a c) (pow b_2 3)))
(* -1 (* c (+ (* 1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c))))))
(* -1 (* c (+ (* 1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c))))))
(* -1 (* c (+ (* 1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c))))))
(/ -1/2 b_2)
(- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))
(- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))
(- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))
(* -1/8 (/ (* a c) (pow b_2 3)))
(* a (- (* -1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2)))))
(* a (- (* -1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2)))))
(* a (- (* -1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2)))))
(* -1/8 (/ (* a c) (pow b_2 3)))
(* -1 (* a (+ (* 1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2))))))
(* -1 (* a (+ (* 1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2))))))
(* -1 (* a (+ (* 1/8 (/ c (pow b_2 3))) (* 1/2 (/ 1 (* a b_2))))))
(* -1/8 (/ (* a c) (pow b_2 3)))
(/ (+ (* -1/2 (pow b_2 2)) (* -1/8 (* a c))) (pow b_2 3))
(/ (+ (* -1/2 (pow b_2 2)) (* -1/8 (* a c))) (pow b_2 3))
(/ (+ (* -1/2 (pow b_2 2)) (* -1/8 (* a c))) (pow b_2 3))
(/ -1/2 b_2)
(/ (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2) b_2)
(/ (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2) b_2)
(/ (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2) b_2)
(/ -1/2 b_2)
(* -1 (/ (+ 1/2 (* 1/8 (/ (* a c) (pow b_2 2)))) b_2))
(* -1 (/ (+ 1/2 (* 1/8 (/ (* a c) (pow b_2 2)))) b_2))
(* -1 (/ (+ 1/2 (* 1/8 (/ (* a c) (pow b_2 2)))) b_2))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 (/ a (pow b_2 3)))
(* -1/8 a)
(* -1/8 a)
(* -1/8 a)
(* -1/8 a)
(* -1/8 a)
(* -1/8 a)
(* -1/8 a)
(* -1/8 a)
(* -1/8 a)
(* -1/8 a)
(* -1/8 a)
(* -1/8 a)
(* (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)))
(pow b_2 3)
(pow b_2 3)
(pow b_2 3)
(pow b_2 3)
(pow b_2 3)
(pow b_2 3)
(pow b_2 3)
(pow b_2 3)
(pow b_2 3)
(pow b_2 3)
(pow b_2 3)
(pow b_2 3)

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

eval211.0ms (2%)

Memory: -2.0MiB live, 265.5MiB allocated
Compiler: Compiled 31 317 to 3 869 computations (87.6% saved)

prune169.0ms (1.6%)

Memory

29.4MiB live, 344.6MiB allocated

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	1 448	24	1 472
Fresh	5	2	7
Picked	4	1	5
Done	0	1	1
Total	1 457	28	1 485

Accuracy

99.6%

Counts

1 485 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.8%	(/.f64 (fma.f64 (pow.f64 (.f64 b_2 (fma.f64 b_2 (/.f64 (neg.f64 (.f64 a c)) (.f64 b_2 b_2)) b_2)) #s(literal 1/4 binary64)) (pow.f64 (.f64 b_2 (fma.f64 b_2 (/.f64 (neg.f64 (.f64 a c)) (.f64 b_2 b_2)) b_2)) #s(literal 1/4 binary64)) (neg.f64 b_2)) a)
▶	8.3%	(/.f64 (fma.f64 (sqrt.f64 (fma.f64 b_2 (/.f64 (neg.f64 (.f64 a c)) (.f64 b_2 b_2)) b_2)) (sqrt.f64 b_2) (neg.f64 b_2)) a)
	16.3%	(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 c (*.f64 b_2 b_2))) #s(literal 1 binary64))) b_2 (neg.f64 b_2)) a)
	22.2%	(/.f64 (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) (neg.f64 b_2)) a)
	18.8%	(/.f64 (fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c) (neg.f64 b_2)) a)
	16.1%	(/.f64 (fma.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 b_2 (fma.f64 a (neg.f64 c) (.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))
	7.0%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 b_2 b_2) (-.f64 (neg.f64 b_2) (.f64 b_2 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 c (.f64 b_2 b_2))) #s(literal 1 binary64)))))) (.f64 (-.f64 (neg.f64 b_2) (.f64 b_2 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 c (.f64 b_2 b_2))) #s(literal 1 binary64))))) (.f64 b_2 (fma.f64 b_2 (/.f64 (neg.f64 (.f64 a c)) (.f64 b_2 b_2)) b_2)))) (.f64 (-.f64 (neg.f64 b_2) (.f64 b_2 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 c (.f64 b_2 b_2))) #s(literal 1 binary64))))) (-.f64 (neg.f64 b_2) (.f64 b_2 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 c (*.f64 b_2 b_2))) #s(literal 1 binary64))))))) a)
	9.4%	(/.f64 (/.f64 (-.f64 (.f64 b_2 (fma.f64 b_2 (/.f64 (neg.f64 (.f64 a c)) (.f64 b_2 b_2)) b_2)) (.f64 b_2 b_2)) (-.f64 (.f64 b_2 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 c (.f64 b_2 b_2))) #s(literal 1 binary64)))) (neg.f64 b_2))) a)
	37.2%	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (neg.f64 (.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c))))) a)
	30.6%	(/.f64 (-.f64 (.f64 b_2 b_2) (neg.f64 (.f64 a c))) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (.f64 a c))))))
▶	38.2%	(/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) a)
	11.8%	(/.f64 (+.f64 (neg.f64 b_2) (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2)) a)
	22.2%	(/.f64 (+.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a))) a)
✓	58.7%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
▶	57.3%	(/.f64 (+.f64 (neg.f64 b_2) (fabs.f64 (.f64 b_2 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 c (.f64 b_2 b_2))) #s(literal 1 binary64)))))) a)
	9.4%	(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 b_2 (fma.f64 b_2 (/.f64 (neg.f64 (.f64 a c)) (.f64 b_2 b_2)) b_2))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b_2) (.f64 b_2 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 c (*.f64 b_2 b_2))) #s(literal 1 binary64))))))) a)
	31.9%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	38.1%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
	19.0%	(/.f64 (neg.f64 b_2) a)
▶	38.2%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)))
	38.0%	(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
	7.7%	(-.f64 (/.f64 (.f64 b_2 b_2) (.f64 a (-.f64 (neg.f64 b_2) (.f64 b_2 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 c (.f64 b_2 b_2))) #s(literal 1 binary64))))))) (/.f64 (.f64 b_2 (fma.f64 b_2 (/.f64 (neg.f64 (.f64 a c)) (.f64 b_2 b_2)) b_2)) (.f64 a (-.f64 (neg.f64 b_2) (.f64 b_2 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 c (.f64 b_2 b_2))) #s(literal 1 binary64))))))))
	38.2%	(-.f64 (/.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) a) (/.f64 b_2 a))
	38.2%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2))
	38.1%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
	31.8%	(.f64 c (fma.f64 (/.f64 (/.f64 (.f64 a #s(literal -1/8 binary64)) b_2) b_2) (/.f64 c b_2) (/.f64 #s(literal -1/2 binary64) b_2)))
	31.8%	(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
▶	11.3%	#s(literal 0 binary64)

Compiler

Compiled 1 170 to 614 computations (47.5% saved)

simplify214.0ms (2%)

Memory

-5.8MiB live, 239.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (fma.f64 b_2 (/.f64 (neg.f64 (.f64 a c)) (.f64 b_2 b_2)) b_2))
✓	cost-diff	0	(fma.f64 (sqrt.f64 (fma.f64 b_2 (/.f64 (neg.f64 (.f64 a c)) (.f64 b_2 b_2)) b_2)) (sqrt.f64 b_2) (neg.f64 b_2))
✓	cost-diff	0	(/.f64 (fma.f64 (sqrt.f64 (fma.f64 b_2 (/.f64 (neg.f64 (.f64 a c)) (.f64 b_2 b_2)) b_2)) (sqrt.f64 b_2) (neg.f64 b_2)) a)
✓	cost-diff	640	(fma.f64 b_2 (/.f64 (neg.f64 (.f64 a c)) (.f64 b_2 b_2)) b_2)
✓	cost-diff	0	(sqrt.f64 (neg.f64 (*.f64 a c)))
✓	cost-diff	0	(-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)
✓	cost-diff	0	(/.f64 a (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)))
✓	cost-diff	0	(neg.f64 (*.f64 a c))
✓	cost-diff	0	(sqrt.f64 (neg.f64 (*.f64 a c)))
✓	cost-diff	0	(-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)
✓	cost-diff	0	(/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) a)
✓	cost-diff	0	(fabs.f64 (.f64 b_2 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 c (.f64 b_2 b_2))) #s(literal 1 binary64)))))
✓	cost-diff	0	(neg.f64 b_2)
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (fabs.f64 (.f64 b_2 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 c (.f64 b_2 b_2))) #s(literal 1 binary64)))))) a)
✓	cost-diff	128	(+.f64 (neg.f64 b_2) (fabs.f64 (.f64 b_2 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 c (.f64 b_2 b_2))) #s(literal 1 binary64))))))

Rules

4 280×	`-lowering-.f32`
4 280×	`-lowering-.f64`
4 206×	`accelerator-lowering-fma.f32`
4 206×	`accelerator-lowering-fma.f64`
1 426×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	265
1	75	253
2	186	241
3	511	237
4	1327	237
5	3067	237
6	5013	237
0	8562	237

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize184.0ms (1.7%)

Memory

-8.8MiB live, 190.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	97.0%	(fma.f64 b_2 (/.f64 (neg.f64 (.f64 a c)) (.f64 b_2 b_2)) b_2)
✓	accuracy	96.6%	(sqrt.f64 (fma.f64 b_2 (/.f64 (neg.f64 (.f64 a c)) (.f64 b_2 b_2)) b_2))
✓	accuracy	93.6%	(/.f64 (neg.f64 (.f64 a c)) (.f64 b_2 b_2))
✓	accuracy	84.2%	(fma.f64 (sqrt.f64 (fma.f64 b_2 (/.f64 (neg.f64 (.f64 a c)) (.f64 b_2 b_2)) b_2)) (sqrt.f64 b_2) (neg.f64 b_2))
✓	accuracy	100.0%	(-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)
✓	accuracy	100.0%	(/.f64 a (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)))
✓	accuracy	91.5%	(sqrt.f64 (neg.f64 (*.f64 a c)))
✓	accuracy	100.0%	(neg.f64 (*.f64 a c))
✓	accuracy	100.0%	(-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)
✓	accuracy	100.0%	(/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) a)
✓	accuracy	91.5%	(sqrt.f64 (neg.f64 (*.f64 a c)))
✓	accuracy	97.8%	(/.f64 (+.f64 (neg.f64 b_2) (fabs.f64 (.f64 b_2 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 c (.f64 b_2 b_2))) #s(literal 1 binary64)))))) a)
✓	accuracy	95.4%	(/.f64 c (*.f64 b_2 b_2))
✓	accuracy	95.2%	(sqrt.f64 (fma.f64 a (neg.f64 (/.f64 c (*.f64 b_2 b_2))) #s(literal 1 binary64)))
✓	accuracy	90.6%	(+.f64 (neg.f64 b_2) (fabs.f64 (.f64 b_2 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 c (.f64 b_2 b_2))) #s(literal 1 binary64))))))

Samples

43.0ms	176×	0	invalid
14.0ms	23×	1	valid
9.0ms	9×	2	valid
8.0ms	39×	0	valid
6.0ms	7×	3	valid
1.0ms	1×	5	exit
1.0ms	1×	4	valid

Compiler

Compiled 259 to 33 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-div: 22.0ms (39.2% of total)

ival-mult: 10.0ms (17.8% of total)

ival-sqrt: 8.0ms (14.2% of total)

ival-add: 6.0ms (10.7% of total)

ival-neg: 4.0ms (7.1% of total)

adjust: 2.0ms (3.6% of total)

ival-fabs: 1.0ms (1.8% of total)

ival-sub: 1.0ms (1.8% of total)

exact: 0.0ms (0% of total)

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

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

series44.0ms (0.4%)

Memory

-14.3MiB live, 66.5MiB allocated

Counts

17 → 552

Calls

Call 1

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

Outputs
#<alt (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))>
#<alt (+ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) (* -1 b_2))>
#<alt (+ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) (* -1 b_2))>
#<alt (+ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) (* -1 b_2))>
#<alt (* -1 b_2)>
#<alt (* b_2 (- (/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) 1))>
#<alt (* b_2 (- (/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) 1))>
#<alt (* b_2 (- (/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) 1))>
#<alt (* -1 b_2)>
#<alt (* -1 (* b_2 (+ 1 (* -1 (/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)))))>
#<alt (* -1 (* b_2 (+ 1 (* -1 (/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)))))>
#<alt (* -1 (* b_2 (+ 1 (* -1 (/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)))))>
#<alt (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)>
#<alt (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)>
#<alt (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)>
#<alt (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)>
#<alt (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)>
#<alt (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)>
#<alt (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)>
#<alt (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)>
#<alt (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)>
#<alt (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)>
#<alt (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)>
#<alt (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)>
#<alt (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)>
#<alt (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)>
#<alt (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)>
#<alt (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)>
#<alt (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)>
#<alt (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)>
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#<alt (/ (- (+ (* -1 a) (* -1 (/ (* (pow a 2) (* c (pow (sqrt -1) 2))) (pow b_2 2)))) (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2))) b_2)>
#<alt (/ (- (+ (* -1 a) (* -1 (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -1) 3) (pow b_2 3))))) (+ (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)) (/ (* (pow a 2) (* c (pow (sqrt -1) 2))) (pow b_2 2)))) b_2)>
#<alt (* -1 (/ a b_2))>
#<alt (* -1 (/ (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2))) b_2))>
#<alt (* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (* (pow a 2) (* c (pow (sqrt -1) 2))) b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1))) b_2))) b_2))>
#<alt (* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (- (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -1) 3) b_2)) (* -1 (* (pow a 2) (* c (pow (sqrt -1) 2))))) b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1))) b_2))) b_2))>
#<alt (* -1 (/ (* a c) b_2))>
#<alt (/ (+ (* -1 (* a c)) (pow b_2 2)) b_2)>
#<alt (/ (+ (* -1 (* a c)) (pow b_2 2)) b_2)>
#<alt (/ (+ (* -1 (* a c)) (pow b_2 2)) b_2)>
#<alt b_2>
#<alt (* b_2 (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* b_2 (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt (* b_2 (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))>
#<alt b_2>
#<alt (* -1 (* b_2 (- (/ (* a c) (pow b_2 2)) 1)))>
#<alt (* -1 (* b_2 (- (/ (* a c) (pow b_2 2)) 1)))>
#<alt (* -1 (* b_2 (- (/ (* a c) (pow b_2 2)) 1)))>
#<alt b_2>
#<alt (+ b_2 (* -1 (/ (* a c) b_2)))>
#<alt (+ b_2 (* -1 (/ (* a c) b_2)))>
#<alt (+ b_2 (* -1 (/ (* a c) b_2)))>
#<alt (* -1 (/ (* a c) b_2))>
#<alt (* a (+ (* -1 (/ c b_2)) (/ b_2 a)))>
#<alt (* a (+ (* -1 (/ c b_2)) (/ b_2 a)))>
#<alt (* a (+ (* -1 (/ c b_2)) (/ b_2 a)))>
#<alt (* -1 (/ (* a c) b_2))>
#<alt (* -1 (* a (+ (* -1 (/ b_2 a)) (/ c b_2))))>
#<alt (* -1 (* a (+ (* -1 (/ b_2 a)) (/ c b_2))))>
#<alt (* -1 (* a (+ (* -1 (/ b_2 a)) (/ c b_2))))>
#<alt b_2>
#<alt (+ b_2 (* -1 (/ (* a c) b_2)))>
#<alt (+ b_2 (* -1 (/ (* a c) b_2)))>
#<alt (+ b_2 (* -1 (/ (* a c) b_2)))>
#<alt (* -1 (/ (* a c) b_2))>
#<alt (* c (+ (* -1 (/ a b_2)) (/ b_2 c)))>
#<alt (* c (+ (* -1 (/ a b_2)) (/ b_2 c)))>
#<alt (* c (+ (* -1 (/ a b_2)) (/ b_2 c)))>
#<alt (* -1 (/ (* a c) b_2))>
#<alt (* -1 (* c (+ (* -1 (/ b_2 c)) (/ a b_2))))>
#<alt (* -1 (* c (+ (* -1 (/ b_2 c)) (/ a b_2))))>
#<alt (* -1 (* c (+ (* -1 (/ b_2 c)) (/ a b_2))))>
#<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 (* -1 (/ (* b_2 (+ 1 (pow (sqrt -1) 2))) a))>
#<alt (* -1 (* b_2 (+ (* 1/2 (/ c (pow b_2 2))) (+ (/ 1 a) (/ (pow (sqrt -1) 2) a)))))>
#<alt (* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (* (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (/ c (pow b_2 2))) (+ (/ 1 a) (/ (pow (sqrt -1) 2) a))))))>
#<alt (* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (* (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (* (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ c (pow b_2 2))) (+ (/ 1 a) (/ (pow (sqrt -1) 2) 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 (* (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 (* -1 (* b_2 (+ 1 (pow (sqrt -1) 2))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (* (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (* (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (* (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow (sqrt -1) 2)))))))>
#<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 (/ (* a c) b_2)) (sqrt -1))>
#<alt (/ (+ (* 1/2 (* (sqrt (/ (pow b_2 5) (* a c))) (/ 1 (sqrt -1)))) (* (sqrt (* a (* b_2 c))) (sqrt -1))) b_2)>
#<alt (/ (+ (* (sqrt (* a (* b_2 c))) (sqrt -1)) (* (pow b_2 3) (+ (* -1/8 (* (sqrt (/ (pow b_2 3) (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (* b_2 c)))) (/ 1 (sqrt -1))))))) b_2)>
#<alt (/ (+ (* (sqrt (* a (* b_2 c))) (sqrt -1)) (* (pow b_2 3) (+ (* 1/2 (* (sqrt (/ 1 (* a (* b_2 c)))) (/ 1 (sqrt -1)))) (* (pow b_2 3) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (* (pow b_2 3) (pow c 3))))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ b_2 (* (pow a 5) (pow c 5)))) (/ 1 (pow (sqrt -1) 5))))))))) b_2)>
#<alt (sqrt b_2)>
#<alt (* b_2 (+ (sqrt (/ 1 b_2)) (* -1/2 (* (* a c) (sqrt (/ 1 (pow b_2 5)))))))>
#<alt (* b_2 (+ (sqrt (/ 1 b_2)) (+ (* -1/2 (* (* a c) (sqrt (/ 1 (pow b_2 5))))) (* -1/8 (* (* (pow a 2) (pow c 2)) (sqrt (/ 1 (pow b_2 9))))))))>
#<alt (* b_2 (+ (sqrt (/ 1 b_2)) (+ (* -1/2 (* (* a c) (sqrt (/ 1 (pow b_2 5))))) (+ (* -1/8 (* (* (pow a 2) (pow c 2)) (sqrt (/ 1 (pow b_2 9))))) (* -1/16 (* (* (pow a 3) (pow c 3)) (sqrt (/ 1 (pow b_2 13)))))))))>
#<alt (* -1 (* (sqrt b_2) (pow (sqrt -1) 2)))>
#<alt (* -1 (* b_2 (+ (* -1/2 (* (* a c) (sqrt (/ 1 (pow b_2 5))))) (* (sqrt (/ 1 b_2)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* b_2 (+ (* -1 (/ (+ (* 1/8 (* (/ (* (pow a 2) (pow c 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow b_2 3))))) (* 1/2 (* (* a c) (sqrt b_2)))) (pow b_2 3))) (* (sqrt (/ 1 b_2)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* b_2 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (pow a 2) (pow c 2)) (pow (sqrt -1) 2)) (sqrt (pow b_2 3)))) (* -1/16 (* (/ (* (pow a 3) (pow c 3)) (pow (sqrt -1) 4)) (sqrt (/ 1 b_2))))) (pow b_2 3))) (* 1/2 (* (* a c) (sqrt b_2)))) (pow b_2 3))) (* (sqrt (/ 1 b_2)) (pow (sqrt -1) 2)))))>
#<alt (sqrt b_2)>
#<alt (+ (sqrt b_2) (* -1/2 (* (* a c) (sqrt (/ 1 (pow b_2 3))))))>
#<alt (+ (sqrt b_2) (* a (+ (* -1/2 (* (sqrt (/ 1 (pow b_2 3))) c)) (* -1/8 (* (* a (pow c 2)) (sqrt (/ 1 (pow b_2 7))))))))>
#<alt (+ (sqrt b_2) (* a (+ (* -1/2 (* (sqrt (/ 1 (pow b_2 3))) c)) (* a (+ (* -1/8 (* (sqrt (/ 1 (pow b_2 7))) (pow c 2))) (* -1/16 (* (* a (pow c 3)) (sqrt (/ 1 (pow b_2 11))))))))))>
#<alt (* (sqrt (/ (* a c) b_2)) (sqrt -1))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ (pow b_2 3) (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* (sqrt (/ c (* a b_2))) (sqrt -1))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ (pow b_2 7) (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ (pow b_2 3) (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* (sqrt (/ c (* a b_2))) (sqrt -1)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ (pow b_2 7) (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ (pow b_2 11) (* (pow a 7) (pow c 5)))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ (pow b_2 3) (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* (sqrt (/ c (* a b_2))) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (/ (* a c) b_2)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ (pow b_2 3) (* (pow a 3) c))) (sqrt -1))) (* (sqrt (/ c (* a b_2))) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ (pow b_2 7) (* (pow a 5) (pow c 3)))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ (pow b_2 3) (* (pow a 3) c))) (sqrt -1))) (* (sqrt (/ c (* a b_2))) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ (pow b_2 7) (* (pow a 5) (pow c 3)))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ (pow b_2 11) (* (pow a 7) (pow c 5)))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ (pow b_2 3) (* (pow a 3) c))) (sqrt -1))) (* (sqrt (/ c (* a b_2))) (sqrt -1)))))))>
#<alt (sqrt b_2)>
#<alt (+ (sqrt b_2) (* -1/2 (* (* a c) (sqrt (/ 1 (pow b_2 3))))))>
#<alt (+ (sqrt b_2) (* c (+ (* -1/2 (* a (sqrt (/ 1 (pow b_2 3))))) (* -1/8 (* (* (pow a 2) c) (sqrt (/ 1 (pow b_2 7))))))))>
#<alt (+ (sqrt b_2) (* c (+ (* -1/2 (* a (sqrt (/ 1 (pow b_2 3))))) (* c (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b_2 7))))) (* -1/16 (* (* (pow a 3) c) (sqrt (/ 1 (pow b_2 11))))))))))>
#<alt (* (sqrt (/ (* a c) b_2)) (sqrt -1))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ (pow b_2 3) (* a (pow c 3)))) (/ 1 (sqrt -1)))) (* (sqrt (/ a (* b_2 c))) (sqrt -1))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ (pow b_2 7) (* (pow a 3) (pow c 5)))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ (pow b_2 3) (* a (pow c 3)))) (/ 1 (sqrt -1)))) (* (sqrt (/ a (* b_2 c))) (sqrt -1)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ (pow b_2 7) (* (pow a 3) (pow c 5)))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ (pow b_2 11) (* (pow a 5) (pow c 7)))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ (pow b_2 3) (* a (pow c 3)))) (/ 1 (sqrt -1)))) (* (sqrt (/ a (* b_2 c))) (sqrt -1))))))>
#<alt (* -1 (* (sqrt (/ (* a c) b_2)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ (pow b_2 3) (* a (pow c 3)))) (sqrt -1))) (* (sqrt (/ a (* b_2 c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ (pow b_2 7) (* (pow a 3) (pow c 5)))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ (pow b_2 3) (* a (pow c 3)))) (sqrt -1))) (* (sqrt (/ a (* b_2 c))) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ (pow b_2 7) (* (pow a 3) (pow c 5)))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ (pow b_2 11) (* (pow a 5) (pow c 7)))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ (pow b_2 3) (* a (pow c 3)))) (sqrt -1))) (* (sqrt (/ a (* b_2 c))) (sqrt -1)))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))>
#<alt (+ 1 (* a (+ (* -1/2 (/ c (pow b_2 2))) (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))))))>
#<alt (+ 1 (* a (+ (* -1/2 (/ c (pow b_2 2))) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 6))))))))>
#<alt (* (sqrt (* a c)) (/ (sqrt -1) b_2))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (* (sqrt (/ c a)) (/ (sqrt -1) b_2))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (* (sqrt (/ c a)) (/ (sqrt -1) b_2)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 5) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (* (sqrt (/ c a)) (/ (sqrt -1) b_2))))))>
#<alt (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b_2 (sqrt -1)))) (* (sqrt (/ c a)) (/ (sqrt -1) b_2)))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b_2 (sqrt -1)))) (* (sqrt (/ c a)) (/ (sqrt -1) b_2))))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 3) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 5) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b_2 (sqrt -1)))) (* (sqrt (/ c a)) (/ (sqrt -1) b_2)))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))>
#<alt (+ 1 (* c (+ (* -1/2 (/ a (pow b_2 2))) (* -1/8 (/ (* (pow a 2) c) (pow b_2 4))))))>
#<alt (+ 1 (* c (+ (* -1/2 (/ a (pow b_2 2))) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 6))))))))>
#<alt (* (sqrt (* a c)) (/ (sqrt -1) b_2))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b_2 (sqrt -1)))) (* (sqrt (/ a c)) (/ (sqrt -1) b_2))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b_2 (sqrt -1)))) (* (sqrt (/ a c)) (/ (sqrt -1) b_2)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 5) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b_2 (sqrt -1)))) (* (sqrt (/ a c)) (/ (sqrt -1) b_2))))))>
#<alt (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b_2 (sqrt -1)))) (* (sqrt (/ a c)) (/ (sqrt -1) b_2)))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b_2 (sqrt -1)))) (* (sqrt (/ a c)) (/ (sqrt -1) b_2))))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 3) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 5) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b_2 (sqrt -1)))) (* (sqrt (/ a c)) (/ (sqrt -1) b_2)))))))>
#<alt (* (sqrt (* a c)) (/ (sqrt -1) b_2))>
#<alt (/ (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1))) b_2)>
#<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))))))) b_2)>
#<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))))))))) b_2)>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))>
#<alt (+ 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>
#<alt (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))>
#<alt (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))>
#<alt (+ 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 (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ c (pow b_2 2))>
#<alt (/ 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) (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) (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) (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) (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) (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) (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) (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) (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) (pow b_2 2)))>
#<alt (* -1 (/ (* a c) (pow b_2 2)))>

Calls

138 calls:

Time	Variable		Point	Expression
5.0ms	b_2	@	-inf	(/ a (- (sqrt (neg (* a c))) b_2))
2.0ms	b_2	@	-inf	(/ (+ (* (sqrt (+ (* b_2 (/ (neg (* a c)) (* b_2 b_2))) b_2)) (sqrt b_2)) (neg b_2)) a)
1.0ms	a	@	inf	(sqrt (+ (* b_2 (/ (neg (* a c)) (* b_2 b_2))) b_2))
1.0ms	b_2	@	0	(sqrt (+ (* b_2 (/ (neg (* a c)) (* b_2 b_2))) b_2))
1.0ms	a	@	inf	(/ a (- (sqrt (neg (* a c))) b_2))

rewrite358.0ms (3.4%)

Memory

20.3MiB live, 579.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 104×	`accelerator-lowering-fma.f32`
5 104×	`accelerator-lowering-fma.f64`
3 924×	`/-lowering-/.f32`
3 924×	`/-lowering-/.f64`
3 696×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	180
1	176	170
2	1412	154
0	8544	154

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 879

Calls

Call 1

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

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

simplify481.0ms (4.5%)

Memory

7.3MiB live, 769.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12 776×	`accelerator-lowering-fma.f32`
12 776×	`accelerator-lowering-fma.f64`
9 544×	`-lowering-.f32`
9 544×	`-lowering-.f64`
4 946×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	961	9157
1	3080	8634
0	9270	8400

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 552

Calls

Call 1

Inputs
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(+ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) (* -1 b_2))
(+ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) (* -1 b_2))
(+ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) (* -1 b_2))
(* -1 b_2)
(* b_2 (- (/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) 1))
(* b_2 (- (/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) 1))
(* b_2 (- (/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) 1))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1 (/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)))))
(* -1 (* b_2 (+ 1 (* -1 (/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)))))
(* -1 (* b_2 (+ 1 (* -1 (/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)))))
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) a)
(+ (* -1 (/ b_2 a)) (/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) a))
(+ (* -1 (/ b_2 a)) (/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) a))
(+ (* -1 (/ b_2 a)) (/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) a))
(* -1 (/ b_2 a))
(* b_2 (- (/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) (* a b_2)) (/ 1 a)))
(* b_2 (- (/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) (* a b_2)) (/ 1 a)))
(* b_2 (- (/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) (* a b_2)) (/ 1 a)))
(* -1 (/ b_2 a))
(* -1 (* b_2 (+ (* -1 (/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) (* a b_2))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) (* a b_2))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) (* a b_2))) (/ 1 a))))
(/ (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) a)
(/ (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) a)
(/ (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) a)
(/ (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) a)
(/ (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) a)
(/ (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) a)
(/ (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) a)
(/ (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) a)
(/ (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) a)
(/ (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) a)
(/ (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) a)
(/ (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) a)
(/ (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) a)
(/ (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) a)
(/ (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) a)
(/ (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) a)
(/ (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) a)
(/ (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) a)
(/ (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) a)
(/ (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) a)
(/ (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) a)
(/ (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) a)
(/ (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) a)
(/ (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) 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)
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(/ (- (* (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))))
(- (* (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 (* 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))
(/ (- (* (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))))
(/ 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))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2))))
(- (+ (* (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)))))
(- (+ (* (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))))))
(* -1 (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ b_2 c)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1))) (* -1 (/ (* a b_2) c))) a)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (/ (* a (pow b_2 3)) (pow c 2)) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) a)) (* -1 (/ (* a b_2) c))) a)))
(/ 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))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2))) c)
(/ (- (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) c)
(/ (- (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ (pow b_2 3) (* a (* c (pow (sqrt -1) 4))))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* -1 (/ b_2 (pow (sqrt -1) 2))))) c)
(* -1 (* (sqrt (/ a c)) (sqrt -1)))
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow b_2 3) c) a)) (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))) c)) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2))))
(+ (* b_2 (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ b_2 (pow (sqrt -1) 3))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* b_2 (+ (* b_2 (- (/ b_2 (* a (* (pow c 2) (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(* -1 (/ a b_2))
(/ (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))) b_2)
(/ (- (+ (* -1 a) (* -1 (/ (* (pow a 2) (* c (pow (sqrt -1) 2))) (pow b_2 2)))) (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2))) b_2)
(/ (- (+ (* -1 a) (* -1 (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -1) 3) (pow b_2 3))))) (+ (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)) (/ (* (pow a 2) (* c (pow (sqrt -1) 2))) (pow b_2 2)))) b_2)
(* -1 (/ a b_2))
(* -1 (/ (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2))) b_2))
(* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (* (pow a 2) (* c (pow (sqrt -1) 2))) b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1))) b_2))) b_2))
(* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (- (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -1) 3) b_2)) (* -1 (* (pow a 2) (* c (pow (sqrt -1) 2))))) b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1))) b_2))) b_2))
(* -1 (/ (* a c) b_2))
(/ (+ (* -1 (* a c)) (pow b_2 2)) b_2)
(/ (+ (* -1 (* a c)) (pow b_2 2)) b_2)
(/ (+ (* -1 (* a c)) (pow b_2 2)) b_2)
b_2
(* b_2 (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(* b_2 (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
b_2
(* -1 (* b_2 (- (/ (* a c) (pow b_2 2)) 1)))
(* -1 (* b_2 (- (/ (* a c) (pow b_2 2)) 1)))
(* -1 (* b_2 (- (/ (* a c) (pow b_2 2)) 1)))
b_2
(+ b_2 (* -1 (/ (* a c) b_2)))
(+ b_2 (* -1 (/ (* a c) b_2)))
(+ b_2 (* -1 (/ (* a c) b_2)))
(* -1 (/ (* a c) b_2))
(* a (+ (* -1 (/ c b_2)) (/ b_2 a)))
(* a (+ (* -1 (/ c b_2)) (/ b_2 a)))
(* a (+ (* -1 (/ c b_2)) (/ b_2 a)))
(* -1 (/ (* a c) b_2))
(* -1 (* a (+ (* -1 (/ b_2 a)) (/ c b_2))))
(* -1 (* a (+ (* -1 (/ b_2 a)) (/ c b_2))))
(* -1 (* a (+ (* -1 (/ b_2 a)) (/ c b_2))))
b_2
(+ b_2 (* -1 (/ (* a c) b_2)))
(+ b_2 (* -1 (/ (* a c) b_2)))
(+ b_2 (* -1 (/ (* a c) b_2)))
(* -1 (/ (* a c) b_2))
(* c (+ (* -1 (/ a b_2)) (/ b_2 c)))
(* c (+ (* -1 (/ a b_2)) (/ b_2 c)))
(* c (+ (* -1 (/ a b_2)) (/ b_2 c)))
(* -1 (/ (* a c) b_2))
(* -1 (* c (+ (* -1 (/ b_2 c)) (/ a b_2))))
(* -1 (* c (+ (* -1 (/ b_2 c)) (/ a b_2))))
(* -1 (* c (+ (* -1 (/ b_2 c)) (/ a b_2))))
(* (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)
(* -1 (/ (* b_2 (+ 1 (pow (sqrt -1) 2))) a))
(* -1 (* b_2 (+ (* 1/2 (/ c (pow b_2 2))) (+ (/ 1 a) (/ (pow (sqrt -1) 2) a)))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (* (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (/ c (pow b_2 2))) (+ (/ 1 a) (/ (pow (sqrt -1) 2) a))))))
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (* (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (* (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ c (pow b_2 2))) (+ (/ 1 a) (/ (pow (sqrt -1) 2) 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)))))
(* (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)
(* -1 (* b_2 (+ 1 (pow (sqrt -1) 2))))
(* -1 (* b_2 (+ 1 (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow (sqrt -1) 2)))))
(* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (* (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow (sqrt -1) 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (* (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (* (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow (sqrt -1) 2)))))))
(* -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 (/ (* a c) b_2)) (sqrt -1))
(/ (+ (* 1/2 (* (sqrt (/ (pow b_2 5) (* a c))) (/ 1 (sqrt -1)))) (* (sqrt (* a (* b_2 c))) (sqrt -1))) b_2)
(/ (+ (* (sqrt (* a (* b_2 c))) (sqrt -1)) (* (pow b_2 3) (+ (* -1/8 (* (sqrt (/ (pow b_2 3) (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (* b_2 c)))) (/ 1 (sqrt -1))))))) b_2)
(/ (+ (* (sqrt (* a (* b_2 c))) (sqrt -1)) (* (pow b_2 3) (+ (* 1/2 (* (sqrt (/ 1 (* a (* b_2 c)))) (/ 1 (sqrt -1)))) (* (pow b_2 3) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (* (pow b_2 3) (pow c 3))))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ b_2 (* (pow a 5) (pow c 5)))) (/ 1 (pow (sqrt -1) 5))))))))) b_2)
(sqrt b_2)
(* b_2 (+ (sqrt (/ 1 b_2)) (* -1/2 (* (* a c) (sqrt (/ 1 (pow b_2 5)))))))
(* b_2 (+ (sqrt (/ 1 b_2)) (+ (* -1/2 (* (* a c) (sqrt (/ 1 (pow b_2 5))))) (* -1/8 (* (* (pow a 2) (pow c 2)) (sqrt (/ 1 (pow b_2 9))))))))
(* b_2 (+ (sqrt (/ 1 b_2)) (+ (* -1/2 (* (* a c) (sqrt (/ 1 (pow b_2 5))))) (+ (* -1/8 (* (* (pow a 2) (pow c 2)) (sqrt (/ 1 (pow b_2 9))))) (* -1/16 (* (* (pow a 3) (pow c 3)) (sqrt (/ 1 (pow b_2 13)))))))))
(* -1 (* (sqrt b_2) (pow (sqrt -1) 2)))
(* -1 (* b_2 (+ (* -1/2 (* (* a c) (sqrt (/ 1 (pow b_2 5))))) (* (sqrt (/ 1 b_2)) (pow (sqrt -1) 2)))))
(* -1 (* b_2 (+ (* -1 (/ (+ (* 1/8 (* (/ (* (pow a 2) (pow c 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow b_2 3))))) (* 1/2 (* (* a c) (sqrt b_2)))) (pow b_2 3))) (* (sqrt (/ 1 b_2)) (pow (sqrt -1) 2)))))
(* -1 (* b_2 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (pow a 2) (pow c 2)) (pow (sqrt -1) 2)) (sqrt (pow b_2 3)))) (* -1/16 (* (/ (* (pow a 3) (pow c 3)) (pow (sqrt -1) 4)) (sqrt (/ 1 b_2))))) (pow b_2 3))) (* 1/2 (* (* a c) (sqrt b_2)))) (pow b_2 3))) (* (sqrt (/ 1 b_2)) (pow (sqrt -1) 2)))))
(sqrt b_2)
(+ (sqrt b_2) (* -1/2 (* (* a c) (sqrt (/ 1 (pow b_2 3))))))
(+ (sqrt b_2) (* a (+ (* -1/2 (* (sqrt (/ 1 (pow b_2 3))) c)) (* -1/8 (* (* a (pow c 2)) (sqrt (/ 1 (pow b_2 7))))))))
(+ (sqrt b_2) (* a (+ (* -1/2 (* (sqrt (/ 1 (pow b_2 3))) c)) (* a (+ (* -1/8 (* (sqrt (/ 1 (pow b_2 7))) (pow c 2))) (* -1/16 (* (* a (pow c 3)) (sqrt (/ 1 (pow b_2 11))))))))))
(* (sqrt (/ (* a c) b_2)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ (pow b_2 3) (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* (sqrt (/ c (* a b_2))) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ (pow b_2 7) (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ (pow b_2 3) (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* (sqrt (/ c (* a b_2))) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ (pow b_2 7) (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ (pow b_2 11) (* (pow a 7) (pow c 5)))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ (pow b_2 3) (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* (sqrt (/ c (* a b_2))) (sqrt -1))))))
(* -1 (* (sqrt (/ (* a c) b_2)) (sqrt -1)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ (pow b_2 3) (* (pow a 3) c))) (sqrt -1))) (* (sqrt (/ c (* a b_2))) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ (pow b_2 7) (* (pow a 5) (pow c 3)))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ (pow b_2 3) (* (pow a 3) c))) (sqrt -1))) (* (sqrt (/ c (* a b_2))) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ (pow b_2 7) (* (pow a 5) (pow c 3)))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ (pow b_2 11) (* (pow a 7) (pow c 5)))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ (pow b_2 3) (* (pow a 3) c))) (sqrt -1))) (* (sqrt (/ c (* a b_2))) (sqrt -1)))))))
(sqrt b_2)
(+ (sqrt b_2) (* -1/2 (* (* a c) (sqrt (/ 1 (pow b_2 3))))))
(+ (sqrt b_2) (* c (+ (* -1/2 (* a (sqrt (/ 1 (pow b_2 3))))) (* -1/8 (* (* (pow a 2) c) (sqrt (/ 1 (pow b_2 7))))))))
(+ (sqrt b_2) (* c (+ (* -1/2 (* a (sqrt (/ 1 (pow b_2 3))))) (* c (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b_2 7))))) (* -1/16 (* (* (pow a 3) c) (sqrt (/ 1 (pow b_2 11))))))))))
(* (sqrt (/ (* a c) b_2)) (sqrt -1))
(* c (+ (* 1/2 (* (sqrt (/ (pow b_2 3) (* a (pow c 3)))) (/ 1 (sqrt -1)))) (* (sqrt (/ a (* b_2 c))) (sqrt -1))))
(* c (+ (* -1/8 (* (sqrt (/ (pow b_2 7) (* (pow a 3) (pow c 5)))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ (pow b_2 3) (* a (pow c 3)))) (/ 1 (sqrt -1)))) (* (sqrt (/ a (* b_2 c))) (sqrt -1)))))
(* c (+ (* -1/8 (* (sqrt (/ (pow b_2 7) (* (pow a 3) (pow c 5)))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ (pow b_2 11) (* (pow a 5) (pow c 7)))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ (pow b_2 3) (* a (pow c 3)))) (/ 1 (sqrt -1)))) (* (sqrt (/ a (* b_2 c))) (sqrt -1))))))
(* -1 (* (sqrt (/ (* a c) b_2)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ (pow b_2 3) (* a (pow c 3)))) (sqrt -1))) (* (sqrt (/ a (* b_2 c))) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ (pow b_2 7) (* (pow a 3) (pow c 5)))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ (pow b_2 3) (* a (pow c 3)))) (sqrt -1))) (* (sqrt (/ a (* b_2 c))) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ (pow b_2 7) (* (pow a 3) (pow c 5)))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ (pow b_2 11) (* (pow a 5) (pow c 7)))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ (pow b_2 3) (* a (pow c 3)))) (sqrt -1))) (* (sqrt (/ a (* b_2 c))) (sqrt -1)))))))
1
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 1 (* a (+ (* -1/2 (/ c (pow b_2 2))) (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))))))
(+ 1 (* a (+ (* -1/2 (/ c (pow b_2 2))) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 6))))))))
(* (sqrt (* a c)) (/ (sqrt -1) b_2))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (* (sqrt (/ c a)) (/ (sqrt -1) b_2))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (* (sqrt (/ c a)) (/ (sqrt -1) b_2)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 5) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (* (sqrt (/ c a)) (/ (sqrt -1) b_2))))))
(* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b_2 (sqrt -1)))) (* (sqrt (/ c a)) (/ (sqrt -1) b_2)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b_2 (sqrt -1)))) (* (sqrt (/ c a)) (/ (sqrt -1) b_2))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 3) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 5) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b_2 (sqrt -1)))) (* (sqrt (/ c a)) (/ (sqrt -1) b_2)))))))
1
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 1 (* c (+ (* -1/2 (/ a (pow b_2 2))) (* -1/8 (/ (* (pow a 2) c) (pow b_2 4))))))
(+ 1 (* c (+ (* -1/2 (/ a (pow b_2 2))) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 6))))))))
(* (sqrt (* a c)) (/ (sqrt -1) b_2))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b_2 (sqrt -1)))) (* (sqrt (/ a c)) (/ (sqrt -1) b_2))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b_2 (sqrt -1)))) (* (sqrt (/ a c)) (/ (sqrt -1) b_2)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 5) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b_2 (sqrt -1)))) (* (sqrt (/ a c)) (/ (sqrt -1) b_2))))))
(* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b_2 (sqrt -1)))) (* (sqrt (/ a c)) (/ (sqrt -1) b_2)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b_2 (sqrt -1)))) (* (sqrt (/ a c)) (/ (sqrt -1) b_2))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 3) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 5) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b_2 (sqrt -1)))) (* (sqrt (/ a c)) (/ (sqrt -1) b_2)))))))
(* (sqrt (* a c)) (/ (sqrt -1) b_2))
(/ (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1))) b_2)
(/ (+ (* (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))))))) b_2)
(/ (+ (* (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)
1
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))
(+ 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
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))
(+ 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))))))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ 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) (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) (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) (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) (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) (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) (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) (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) (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) (pow b_2 2)))

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

eval251.0ms (2.4%)

Memory: 14.8MiB live, 440.0MiB allocated
Compiler: Compiled 43 173 to 4 428 computations (89.7% saved)

prune279.0ms (2.6%)

Memory

-49.1MiB live, 410.6MiB allocated

Pruning

31 alts after pruning (26 fresh and 5 done)

	Pruned	Kept	Total
New	1 724	15	1 739
Fresh	10	11	21
Picked	2	3	5
Done	0	2	2
Total	1 736	31	1 767

Accuracy

99.8%

Counts

1 767 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.8%	(fma.f64 (sqrt.f64 (.f64 b_2 (-.f64 b_2 (/.f64 (.f64 a c) b_2)))) (/.f64 #s(literal 1 binary64) a) (neg.f64 (/.f64 b_2 a)))
	22.9%	(/.f64 (fma.f64 (.f64 b_2 (-.f64 b_2 (/.f64 (.f64 a c) b_2))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 b_2 (-.f64 b_2 (/.f64 (.f64 a c) b_2)))) b_2)) (neg.f64 (/.f64 (.f64 b_2 b_2) (+.f64 (sqrt.f64 (.f64 b_2 (-.f64 b_2 (/.f64 (*.f64 a c) b_2)))) b_2)))) a)
	11.2%	(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 a) (/.f64 c b_2) b_2)) (sqrt.f64 b_2) (neg.f64 b_2)) a)
	16.3%	(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 c (*.f64 b_2 b_2))) #s(literal 1 binary64))) b_2 (neg.f64 b_2)) a)
	8.8%	(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (-.f64 b_2 (/.f64 (.f64 a c) b_2)))) (sqrt.f64 (sqrt.f64 (.f64 b_2 (.f64 b_2 (-.f64 b_2 (/.f64 (.f64 a c) b_2)))))) (neg.f64 b_2)) a)
	25.8%	(/.f64 (fma.f64 (sqrt.f64 (neg.f64 (.f64 a c))) a (neg.f64 (.f64 a b_2))) (*.f64 a a))
	18.8%	(/.f64 (fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c) (neg.f64 b_2)) a)
	38.1%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)))
	28.0%	(/.f64 (-.f64 (.f64 (sqrt.f64 (.f64 b_2 (-.f64 b_2 (/.f64 (.f64 a c) b_2)))) (/.f64 a b_2)) a) (.f64 a (/.f64 a b_2)))
	22.2%	(/.f64 (-.f64 (*.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a)) b_2) a)
✓	38.2%	(/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) a)
▶	11.8%	(/.f64 (+.f64 (neg.f64 b_2) (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2)) a)
✓	58.7%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
▶	62.1%	(/.f64 (+.f64 (neg.f64 b_2) (fabs.f64 (*.f64 b_2 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 (/.f64 c b_2) b_2)) #s(literal 1 binary64)))))) a)
	31.9%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	38.1%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
▶	19.0%	(/.f64 (neg.f64 b_2) a)
	27.5%	(/.f64 (fabs.f64 (.f64 b_2 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (*.f64 b_2 b_2))))))) a)
▶	22.2%	(/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) (neg.f64 b_2))))
▶	51.9%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (.f64 b_2 (-.f64 b_2 (/.f64 (.f64 a c) b_2)))) b_2)))
✓	38.2%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)))
	38.0%	(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
	38.1%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2)) a))
	20.2%	(-.f64 (/.f64 (.f64 b_2 (-.f64 b_2 (/.f64 (.f64 a c) b_2))) (.f64 a (+.f64 (sqrt.f64 (.f64 b_2 (-.f64 b_2 (/.f64 (.f64 a c) b_2)))) b_2))) (/.f64 (.f64 b_2 b_2) (.f64 a (+.f64 (sqrt.f64 (.f64 b_2 (-.f64 b_2 (/.f64 (*.f64 a c) b_2)))) b_2))))
	38.2%	(-.f64 (/.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) a) (/.f64 b_2 a))
	51.9%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (.f64 b_2 (-.f64 b_2 (/.f64 (*.f64 a c) b_2)))) b_2))
	38.2%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2))
	38.1%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
	31.8%	(.f64 c (fma.f64 (/.f64 (/.f64 (.f64 a #s(literal -1/8 binary64)) b_2) b_2) (/.f64 c b_2) (/.f64 #s(literal -1/2 binary64) b_2)))
	31.8%	(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
✓	11.3%	#s(literal 0 binary64)

Compiler

Compiled 1 008 to 594 computations (41.1% saved)

simplify204.0ms (1.9%)

Memory

28.1MiB live, 260.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (sqrt.f64 (.f64 b_2 (-.f64 b_2 (/.f64 (.f64 a c) b_2)))) b_2)
✓	cost-diff	0	(/.f64 a (-.f64 (sqrt.f64 (.f64 b_2 (-.f64 b_2 (/.f64 (.f64 a c) b_2)))) b_2))
✓	cost-diff	704	(.f64 b_2 (-.f64 b_2 (/.f64 (.f64 a c) b_2)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (.f64 b_2 (-.f64 b_2 (/.f64 (.f64 a c) b_2)))) b_2)))
✓	cost-diff	0	(sqrt.f64 (neg.f64 c))
✓	cost-diff	0	(fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) (neg.f64 b_2))
✓	cost-diff	0	(/.f64 a (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) (neg.f64 b_2)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) (neg.f64 b_2))))
✓	cost-diff	0	(fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2)
✓	cost-diff	0	(neg.f64 b_2)
✓	cost-diff	384	(+.f64 (neg.f64 b_2) (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2))
✓	cost-diff	1024	(/.f64 (+.f64 (neg.f64 b_2) (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2)) a)
✓	cost-diff	0	(neg.f64 b_2)
✓	cost-diff	0	(/.f64 (neg.f64 b_2) a)
✓	cost-diff	0	(neg.f64 b_2)
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (fabs.f64 (*.f64 b_2 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 (/.f64 c b_2) b_2)) #s(literal 1 binary64)))))) a)
✓	cost-diff	128	(+.f64 (neg.f64 b_2) (fabs.f64 (*.f64 b_2 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 (/.f64 c b_2) b_2)) #s(literal 1 binary64))))))
✓	cost-diff	384	(/.f64 (/.f64 c b_2) b_2)

Rules

5 384×	`accelerator-lowering-fma.f32`
5 384×	`accelerator-lowering-fma.f64`
2 682×	`-lowering-.f32`
2 682×	`-lowering-.f64`
1 624×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	293
1	85	282
2	195	278
3	475	266
4	1027	261
5	2406	248
6	5611	248
0	8166	247

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize147.0ms (1.4%)

Memory

7.4MiB live, 282.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.8%	(/.f64 (*.f64 a c) b_2)
✓	accuracy	96.5%	(-.f64 (sqrt.f64 (.f64 b_2 (-.f64 b_2 (/.f64 (.f64 a c) b_2)))) b_2)
✓	accuracy	95.9%	(.f64 b_2 (-.f64 b_2 (/.f64 (.f64 a c) b_2)))
✓	accuracy	90.2%	(sqrt.f64 (.f64 b_2 (-.f64 b_2 (/.f64 (.f64 a c) b_2))))
✓	accuracy	100.0%	(neg.f64 b_2)
✓	accuracy	100.0%	(/.f64 a (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) (neg.f64 b_2)))
✓	accuracy	99.9%	(fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) (neg.f64 b_2))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) (neg.f64 b_2))))
✓	accuracy	100.0%	(neg.f64 b_2)
✓	accuracy	98.5%	(fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2)
✓	accuracy	94.6%	(/.f64 (+.f64 (neg.f64 b_2) (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2)) a)
✓	accuracy	91.7%	(+.f64 (neg.f64 b_2) (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2))
✓	accuracy	100.0%	(/.f64 (neg.f64 b_2) a)
✓	accuracy	100.0%	(neg.f64 b_2)
✓	accuracy	98.1%	(fma.f64 a (neg.f64 (/.f64 (/.f64 c b_2) b_2)) #s(literal 1 binary64))
✓	accuracy	97.0%	(*.f64 b_2 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 (/.f64 c b_2) b_2)) #s(literal 1 binary64))))
✓	accuracy	96.5%	(+.f64 (neg.f64 b_2) (fabs.f64 (*.f64 b_2 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 (/.f64 c b_2) b_2)) #s(literal 1 binary64))))))
✓	accuracy	94.5%	(sqrt.f64 (fma.f64 a (neg.f64 (/.f64 (/.f64 c b_2) b_2)) #s(literal 1 binary64)))

Samples

52.0ms	171×	0	invalid
13.0ms	48×	0	valid
10.0ms	16×	1	valid
10.0ms	16×	2	valid
4.0ms	5×	3	valid

Compiler

Compiled 277 to 40 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-div: 19.0ms (31.5% of total)

ival-mult: 13.0ms (21.5% of total)

ival-sqrt: 7.0ms (11.6% of total)

ival-add: 7.0ms (11.6% of total)

ival-neg: 6.0ms (9.9% of total)

adjust: 3.0ms (5% of total)

ival-sub: 3.0ms (5% of total)

ival-fabs: 1.0ms (1.7% of total)

exact: 0.0ms (0% of total)

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

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

series74.0ms (0.7%)

Memory

11.5MiB live, 86.7MiB allocated

Counts

21 → 684

Calls

Call 1

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

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

Calls

171 calls:

Time	Variable		Point	Expression
25.0ms	c	@	inf	(/ (+ (neg b_2) (+ (* a (/ (* c -1/2) b_2)) b_2)) a)
14.0ms	a	@	-inf	(+ (* a (neg (/ (/ c b_2) b_2))) 1)
1.0ms	a	@	inf	(/ a (- (sqrt (* b_2 (- b_2 (/ (* a c) b_2)))) b_2))
1.0ms	c	@	inf	(/ a (- (sqrt (* b_2 (- b_2 (/ (* a c) b_2)))) b_2))
1.0ms	a	@	-inf	(/ 1 (/ a (+ (* (sqrt (neg c)) (sqrt a)) (neg b_2))))

rewrite461.0ms (4.3%)

Memory

-24.9MiB live, 814.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 278×	`accelerator-lowering-fma.f32`
5 278×	`accelerator-lowering-fma.f64`
4 626×	`-lowering-.f32`
4 626×	`-lowering-.f64`
4 364×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	212
1	233	199
2	1937	199
0	8676	196

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 876

Calls

Call 1

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

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

simplify665.0ms (6.3%)

Memory

18.7MiB live, 967.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 802×	`accelerator-lowering-fma.f32`
8 802×	`accelerator-lowering-fma.f64`
6 644×	`-lowering-.f32`
6 644×	`-lowering-.f64`
5 932×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1071	11182
1	3582	10699
0	8441	10355

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 684

Calls

Call 1

Inputs
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(/ c (pow b_2 2))
(fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))))
(+ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) (* -1 b_2))
(+ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) (* -1 b_2))
(+ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) (* -1 b_2))
(* -1 b_2)
(* b_2 (- (/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) 1))
(* b_2 (- (/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) 1))
(* b_2 (- (/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) 1))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1 (/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)))))
(* -1 (* b_2 (+ 1 (* -1 (/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)))))
(* -1 (* b_2 (+ 1 (* -1 (/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)))))
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2)
(/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) a)
(+ (* -1 (/ b_2 a)) (/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) a))
(+ (* -1 (/ b_2 a)) (/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) a))
(+ (* -1 (/ b_2 a)) (/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) a))
(* -1 (/ b_2 a))
(* b_2 (- (/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) (* a b_2)) (/ 1 a)))
(* b_2 (- (/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) (* a b_2)) (/ 1 a)))
(* b_2 (- (/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) (* a b_2)) (/ 1 a)))
(* -1 (/ b_2 a))
(* -1 (* b_2 (+ (* -1 (/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) (* a b_2))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) (* a b_2))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (/ (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) (* a b_2))) (/ 1 a))))
(/ (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) a)
(/ (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) a)
(/ (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) a)
(/ (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) a)
(/ (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) a)
(/ (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) a)
(/ (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) a)
(/ (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) a)
(/ (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) a)
(/ (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) a)
(/ (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) a)
(/ (- (fabs (* b_2 (sqrt (+ 1 (* -1 (/ (* a c) (pow b_2 2))))))) b_2) a)
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b_2
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(/ (+ (* -1/2 (* a c)) (pow b_2 2)) b_2)
b_2
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(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
b_2
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(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
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(* -1 (* (sqrt (/ a c)) (sqrt -1)))
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(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
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(* -1 (/ a b_2))
(/ (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))) b_2)
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(* -1 (/ a b_2))
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(- (* (sqrt (* a c)) (sqrt -1)) b_2)
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(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(* (sqrt (* a c)) (sqrt -1))
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(* -1 (* (sqrt (* a c)) (sqrt -1)))
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(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
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(- (* (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)) (pow (sqrt -1) 3)))
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(* (sqrt (* a c)) (sqrt -1))
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(* -1 b_2)
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(* -1 b_2)
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(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(* (sqrt c) (sqrt -1))
(* (sqrt c) (sqrt -1))
(* (sqrt c) (sqrt -1))
(* (sqrt c) (sqrt -1))
(* (sqrt c) (sqrt -1))
(* (sqrt c) (sqrt -1))
(* (sqrt c) (sqrt -1))
(* (sqrt c) (sqrt -1))
(* -1 (* (sqrt c) (sqrt -1)))
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(* -1 (* (sqrt c) (sqrt -1)))
(* -1 (* (sqrt c) (sqrt -1)))
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(/ (+ (* -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))
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(* 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 (* 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)))))
(* -2 (/ b_2 c))
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))
(+ (* -2 (/ b_2 c)) (* a (+ (* -1 (* a (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 c)) (* a (+ (* a (- (* -1 (* a (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 2))) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 2) (pow b_2 5))))))) (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2)))))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2))))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))
(* -1 (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ b_2 c)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) c))) a)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b_2 3)) (pow c 2))) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))))))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))) a)) (* -1 (/ (* a b_2) c))) a)))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2))))
(+ (* b_2 (+ (* -1 (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* b_2 (+ (* b_2 (- (* -1 (* b_2 (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -1) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(* -2 (/ b_2 c))
(* b_2 (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))
(* b_2 (- (* -1 (/ (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c))) (pow b_2 4))) (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))
(* b_2 (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (+ (* -1/4 (* a (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (* 1/16 (* (pow a 3) (pow c 2))))) (pow b_2 6))) (+ (* -1/2 (/ a (pow b_2 2))) (+ (* -1/4 (/ (* (pow a 2) c) (pow b_2 4))) (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 4))) (* 2 (/ 1 c)))))))
(* -1/2 (/ a b_2))
(* -1 (/ (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* 1/2 a)) b_2))
(* -1 (/ (- (+ (* 1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 a)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 2)))) b_2))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/32 (* (pow a 4) (pow c 3))) (* -1/128 (* (pow a 4) (pow c 3)))) (pow b_2 6))) (* 1/2 a)) (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))))) b_2))
(* -2 (/ b_2 c))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) c)
(/ (+ (* -2 b_2) (* c (- (* -1 (* c (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3)))))) (* -1/2 (/ a b_2))))) c)
(/ (+ (* -2 b_2) (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) a)) (+ (* -1/4 (/ (* a (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow a 3) (pow b_2 5))))))) (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3)))))) (* -1/2 (/ a b_2))))) c)
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) c)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 4)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))) c)
(* -1 (* (sqrt (/ a c)) (sqrt -1)))
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b_2 3) c) a)) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))))))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))) c)) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) 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 (+ (* 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)))))
1
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 1 (* a (+ (* -1/2 (/ c (pow b_2 2))) (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))))))
(+ 1 (* a (+ (* -1/2 (/ c (pow b_2 2))) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 4))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 6))))))))
(* (sqrt (* a c)) (/ (sqrt -1) b_2))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (* (sqrt (/ c a)) (/ (sqrt -1) b_2))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (* (sqrt (/ c a)) (/ (sqrt -1) b_2)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 5) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (* (sqrt (/ c a)) (/ (sqrt -1) b_2))))))
(* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b_2 (sqrt -1)))) (* (sqrt (/ c a)) (/ (sqrt -1) b_2)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b_2 (sqrt -1)))) (* (sqrt (/ c a)) (/ (sqrt -1) b_2))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 3) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 5) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b_2 (sqrt -1)))) (* (sqrt (/ c a)) (/ (sqrt -1) b_2)))))))
1
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 1 (* c (+ (* -1/2 (/ a (pow b_2 2))) (* -1/8 (/ (* (pow a 2) c) (pow b_2 4))))))
(+ 1 (* c (+ (* -1/2 (/ a (pow b_2 2))) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 6))))))))
(* (sqrt (* a c)) (/ (sqrt -1) b_2))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b_2 (sqrt -1)))) (* (sqrt (/ a c)) (/ (sqrt -1) b_2))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b_2 (sqrt -1)))) (* (sqrt (/ a c)) (/ (sqrt -1) b_2)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 5) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b_2 (sqrt -1)))) (* (sqrt (/ a c)) (/ (sqrt -1) b_2))))))
(* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b_2 (sqrt -1)))) (* (sqrt (/ a c)) (/ (sqrt -1) b_2)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b_2 (sqrt -1)))) (* (sqrt (/ a c)) (/ (sqrt -1) b_2))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 3) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 5) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b_2 (sqrt -1)))) (* (sqrt (/ a c)) (/ (sqrt -1) b_2)))))))
(* (sqrt (* a c)) (/ (sqrt -1) b_2))
(/ (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1))) b_2)
(/ (+ (* (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))))))) b_2)
(/ (+ (* (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)
1
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))
(+ 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
(+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))
(+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))
(+ 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))))))
(* (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)))))))
b_2
(* -1 (* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 1)))
(* -1 (* b_2 (- (+ (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2)))) 1)))
(* -1 (* b_2 (- (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* 1/2 (/ (* a c) (pow b_2 2))))) 1)))
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
(+ 1 (* -1 (/ (* a c) (pow b_2 2))))
(+ 1 (* -1 (/ (* a c) (pow b_2 2))))
(+ 1 (* -1 (/ (* a c) (pow b_2 2))))
(* -1 (/ (* a c) (pow b_2 2)))
(* a (+ (* -1 (/ c (pow b_2 2))) (/ 1 a)))
(* a (+ (* -1 (/ c (pow b_2 2))) (/ 1 a)))
(* a (+ (* -1 (/ c (pow b_2 2))) (/ 1 a)))
(* -1 (/ (* a c) (pow b_2 2)))
(* -1 (* a (- (/ c (pow b_2 2)) (/ 1 a))))
(* -1 (* a (- (/ c (pow b_2 2)) (/ 1 a))))
(* -1 (* a (- (/ c (pow b_2 2)) (/ 1 a))))
1
(+ 1 (* -1 (/ (* a c) (pow b_2 2))))
(+ 1 (* -1 (/ (* a c) (pow b_2 2))))
(+ 1 (* -1 (/ (* a c) (pow b_2 2))))
(* -1 (/ (* a c) (pow b_2 2)))
(* c (+ (* -1 (/ a (pow b_2 2))) (/ 1 c)))
(* c (+ (* -1 (/ a (pow b_2 2))) (/ 1 c)))
(* c (+ (* -1 (/ a (pow b_2 2))) (/ 1 c)))
(* -1 (/ (* a c) (pow b_2 2)))
(* -1 (* c (- (/ a (pow b_2 2)) (/ 1 c))))
(* -1 (* c (- (/ a (pow b_2 2)) (/ 1 c))))
(* -1 (* c (- (/ a (pow b_2 2)) (/ 1 c))))
(* -1 (/ (* a c) (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))
1
(+ 1 (* -1 (/ (* a c) (pow b_2 2))))
(+ 1 (* -1 (/ (* a c) (pow b_2 2))))
(+ 1 (* -1 (/ (* a c) (pow b_2 2))))
1
(+ 1 (* -1 (/ (* a c) (pow b_2 2))))
(+ 1 (* -1 (/ (* a c) (pow b_2 2))))
(+ 1 (* -1 (/ (* a c) (pow b_2 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)))))))
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)
(/ (* a c) b_2)

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

eval502.0ms (4.7%)

Memory: -94.3MiB live, 445.3MiB allocated
Compiler: Compiled 41 112 to 5 018 computations (87.8% saved)

prune314.0ms (2.9%)

Memory

-3.4MiB live, 490.1MiB allocated

Pruning

37 alts after pruning (29 fresh and 8 done)

	Pruned	Kept	Total
New	1 614	18	1 632
Fresh	10	11	21
Picked	2	3	5
Done	0	5	5
Total	1 626	37	1 663

Accuracy

99.8%

Counts

1 663 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.6%	(fma.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (*.f64 b_2 (fma.f64 a (/.f64 c (neg.f64 b_2)) b_2))) (/.f64 b_2 (neg.f64 a)))
	22.9%	(/.f64 (fma.f64 (.f64 b_2 (-.f64 b_2 (/.f64 (.f64 a c) b_2))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (.f64 b_2 (-.f64 b_2 (/.f64 (.f64 a c) b_2)))) b_2)) (neg.f64 (/.f64 (.f64 b_2 b_2) (+.f64 (sqrt.f64 (.f64 b_2 (-.f64 b_2 (/.f64 (*.f64 a c) b_2)))) b_2)))) a)
	11.2%	(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 a) (/.f64 c b_2) b_2)) (sqrt.f64 b_2) (neg.f64 b_2)) a)
	16.3%	(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 c (*.f64 b_2 b_2))) #s(literal 1 binary64))) b_2 (neg.f64 b_2)) a)
	8.8%	(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (-.f64 b_2 (/.f64 (.f64 a c) b_2)))) (sqrt.f64 (sqrt.f64 (.f64 b_2 (.f64 b_2 (-.f64 b_2 (/.f64 (.f64 a c) b_2)))))) (neg.f64 b_2)) a)
	25.8%	(/.f64 (fma.f64 (sqrt.f64 (neg.f64 (.f64 a c))) a (neg.f64 (.f64 a b_2))) (*.f64 a a))
	18.8%	(/.f64 (fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c) (neg.f64 b_2)) a)
	26.4%	(/.f64 (fma.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) (+.f64 b_2 (neg.f64 b_2))) a)
	38.1%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)))
	11.8%	(/.f64 (-.f64 (fma.f64 a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)) b_2) b_2) a)
	28.0%	(/.f64 (-.f64 (.f64 (sqrt.f64 (.f64 b_2 (-.f64 b_2 (/.f64 (.f64 a c) b_2)))) (/.f64 a b_2)) a) (.f64 a (/.f64 a b_2)))
	22.2%	(/.f64 (-.f64 (*.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a)) b_2) a)
	49.8%	(/.f64 (-.f64 (sqrt.f64 (*.f64 b_2 (fma.f64 a (/.f64 c (neg.f64 b_2)) b_2))) b_2) a)
✓	38.2%	(/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) a)
	11.7%	(/.f64 (+.f64 (-.f64 (/.f64 (.f64 (.f64 c a) #s(literal -1/2 binary64)) b_2) b_2) b_2) a)
✓	58.7%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	62.1%	(/.f64 (+.f64 (neg.f64 b_2) (fabs.f64 (*.f64 b_2 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 (/.f64 c b_2) b_2)) #s(literal 1 binary64)))))) a)
	31.9%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	38.1%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
✓	19.0%	(/.f64 (neg.f64 b_2) a)
	32.1%	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b_2) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64))))
	38.0%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2))
	22.2%	(/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 (pow.f64 (pow.f64 (neg.f64 c) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 a) (neg.f64 b_2))))
	12.5%	(/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (.f64 c (.f64 c c)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (fma.f64 c c (*.f64 #s(literal 0 binary64) c))))) (sqrt.f64 a) (neg.f64 b_2))))
	7.7%	(/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 (sqrt.f64 (sqrt.f64 (.f64 (.f64 b_2 (fma.f64 a (/.f64 c (neg.f64 b_2)) b_2)) b_2))) (sqrt.f64 (sqrt.f64 (fma.f64 a (/.f64 c (neg.f64 b_2)) b_2))) (neg.f64 b_2))))
✓	22.2%	(/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) (neg.f64 b_2))))
	58.6%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2)))
✓	38.2%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)))
	31.6%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))
	38.1%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2)) a))
	18.2%	(-.f64 (/.f64 (.f64 b_2 (fma.f64 a (/.f64 c (neg.f64 b_2)) b_2)) (.f64 a (+.f64 b_2 (sqrt.f64 (.f64 b_2 (fma.f64 a (/.f64 c (neg.f64 b_2)) b_2)))))) (/.f64 (.f64 b_2 b_2) (.f64 a (+.f64 b_2 (sqrt.f64 (.f64 b_2 (fma.f64 a (/.f64 c (neg.f64 b_2)) b_2)))))))
	38.2%	(-.f64 (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a) (/.f64 b_2 a))
	38.2%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2))
	49.7%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (.f64 b_2 (fma.f64 a (/.f64 c (neg.f64 b_2)) b_2))) b_2))
	38.1%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
	31.8%	(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
✓	11.3%	#s(literal 0 binary64)

Compiler

Compiled 1 919 to 691 computations (64% saved)

regimes120.0ms (1.1%)

Memory

2.1MiB live, 156.1MiB allocated

Counts

70 → 3

Calls

Call 1

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

Outputs

(/.f64 (+.f64 (neg.f64 b_2) (fabs.f64 (*.f64 b_2 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 (/.f64 c b_2) b_2)) #s(literal 1 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:

40.0ms	b_2
29.0ms	a
24.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
23.0ms	c

Results

Accuracy	Segments	Branch
64.1%	2	`a`
90.2%	3	`b_2`
66.8%	2	`c`
87.1%	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)

regimes30.0ms (0.3%)

Memory

-5.3MiB live, 37.6MiB allocated

Counts

49 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 (neg.f64 b_2) a)
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (+.f64 (neg.f64 b_2) b_2) a)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2))
(/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) 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 (neg.f64 (.f64 a c))) b_2))
(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2))
(/.f64 (-.f64 (fma.f64 a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)) b_2) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2)) a)
(/.f64 (+.f64 (-.f64 (/.f64 (.f64 (.f64 c a) #s(literal -1/2 binary64)) b_2) b_2) b_2) a)
(/.f64 (fma.f64 c (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) (+.f64 b_2 (neg.f64 b_2))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (-.f64 (*.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a)) b_2) 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 (/.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) a) (/.f64 b_2 a))
(-.f64 (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a) (/.f64 b_2 a))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)))
(/.f64 (+.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a))) a)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 a b_2) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64))))
(/.f64 (fma.f64 (sqrt.f64 (neg.f64 (.f64 a c))) a (neg.f64 (.f64 a b_2))) (*.f64 a a))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2)) a))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2)) a))
(.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)))
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2))) b_2)))
(/.f64 (-.f64 (sqrt.f64 (*.f64 b_2 (fma.f64 a (/.f64 c (neg.f64 b_2)) b_2))) b_2) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) (neg.f64 b_2))))
(/.f64 (fabs.f64 (.f64 b_2 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (*.f64 b_2 b_2))))))) a)
(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (.f64 b_2 (-.f64 b_2 (/.f64 (*.f64 a c) b_2)))) b_2))
(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (.f64 b_2 (fma.f64 a (/.f64 c (neg.f64 b_2)) b_2))) b_2))
(/.f64 (-.f64 (.f64 b_2 b_2) (neg.f64 (.f64 a c))) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (.f64 a c))))))
(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)))
(/.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 a (neg.f64 (/.f64 c (*.f64 b_2 b_2))) #s(literal 1 binary64))) b_2 (neg.f64 b_2)) a)
(/.f64 (+.f64 (neg.f64 b_2) (fabs.f64 (.f64 b_2 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 c (.f64 b_2 b_2))) #s(literal 1 binary64)))))) a)
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (neg.f64 a) (/.f64 c b_2) b_2)) (sqrt.f64 b_2) (neg.f64 b_2)) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (.f64 b_2 (-.f64 b_2 (/.f64 (.f64 a c) b_2)))) b_2)))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))) a)
(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (neg.f64 (.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c))))) a)
(.f64 c (fma.f64 (/.f64 (/.f64 (.f64 a #s(literal -1/8 binary64)) b_2) b_2) (/.f64 c b_2) (/.f64 #s(literal -1/2 binary64) b_2)))
(/.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)

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

1 calls:

28.0ms

b_2

Results

Accuracy	Segments	Branch
89.9%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes44.0ms (0.4%)

Memory

-8.7MiB live, 29.4MiB allocated

Counts

19 → 3

Calls

Call 1

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

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

Calls

2 calls:

36.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
6.0ms	b_2

Results

Accuracy	Segments	Branch
70.3%	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
82.9%	3	`b_2`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes4.0ms (0%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

b_2

Results

Accuracy	Segments	Branch
67.5%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

b_2

Results

Accuracy	Segments	Branch
67.4%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

b_2

Results

Accuracy	Segments	Branch
67.4%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes52.0ms (0.5%)

Memory

-20.9MiB live, 18.8MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

4 calls:

45.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
2.0ms	c
2.0ms	a
2.0ms	b_2

Results

Accuracy	Segments	Branch
31.8%	1	`a`
34.1%	2	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
31.8%	1	`c`
48.4%	2	`b_2`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes7.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
20.6%	2	`a`
22.2%	3	`c`
19.0%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
27.5%	2	`b_2`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes5.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
11.3%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
11.3%	1	`a`
11.3%	1	`c`
11.3%	1	`b_2`

Compiler

Compiled 28 to 19 computations (32.1% saved)

bsearch41.0ms (0.4%)

Memory

-3.7MiB live, 35.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
14.0ms	1.4637484824191028e-83	6.489393546486475e-83
2.0ms	-8.27275806904042e+28	-1.3363863835034208e+26

Samples

5.0ms	75×	0	valid
3.0ms	25×	1	valid
2.0ms	11×	2	valid
1.0ms	20×	0	invalid
0.0ms	1×	3	valid

Compiler

Compiled 214 to 150 computations (29.9% saved)

Precisions

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

ival-mult: 2.0ms (25.5% of total)

adjust: 1.0ms (12.7% of total)

ival-div: 1.0ms (12.7% of total)

ival-sub: 1.0ms (12.7% of total)

ival-neg: 1.0ms (12.7% of total)

ival-sqrt: 1.0ms (12.7% of total)

ival-add: 1.0ms (12.7% of total)

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

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

bsearch49.0ms (0.5%)

Memory

-22.0MiB live, 58.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
23.0ms	1.4637484824191028e-83	6.489393546486475e-83
23.0ms	-2.3630813348305227e+154	-8.03625426204309e+143

Samples

25.0ms	107×	0	valid
10.0ms	30×	0	invalid
3.0ms	24×	1	valid
2.0ms	12×	2	valid
0.0ms	1×	3	valid

Compiler

Compiled 253 to 178 computations (29.6% saved)

Precisions

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

ival-sub: 9.0ms (50.3% of total)

ival-mult: 3.0ms (16.8% of total)

ival-sqrt: 2.0ms (11.2% of total)

ival-div: 1.0ms (5.6% of total)

adjust: 1.0ms (5.6% of total)

ival-neg: 1.0ms (5.6% of total)

ival-add: 1.0ms (5.6% of total)

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

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

bsearch31.0ms (0.3%)

Memory

15.3MiB live, 15.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	1.4637484824191028e-83	6.489393546486475e-83
12.0ms	-1.2596332194116027e-110	-2.4859746940761645e-111

Samples

10.0ms	159×	0	valid
4.0ms	64×	0	invalid
3.0ms	15×	2	valid
2.0ms	18×	1	valid

Compiler

Compiled 283 to 208 computations (26.5% saved)

Precisions

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

ival-mult: 3.0ms (23.9% of total)

ival-div: 2.0ms (15.9% of total)

ival-sqrt: 2.0ms (15.9% of total)

adjust: 1.0ms (8% of total)

ival-sub: 1.0ms (8% of total)

ival-neg: 1.0ms (8% of total)

ival-add: 1.0ms (8% of total)

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

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

bsearch24.0ms (0.2%)

Memory

8.5MiB live, 8.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	-1.1990487137527554e-302	1.2116953097496968e-304

Samples

10.0ms	160×	0	valid
4.0ms	63×	0	invalid

Compiler

Compiled 199 to 156 computations (21.6% saved)

Precisions

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

ival-mult: 3.0ms (34.1% of total)

ival-sub: 1.0ms (11.4% of total)

ival-div: 1.0ms (11.4% of total)

ival-add: 1.0ms (11.4% of total)

ival-sqrt: 1.0ms (11.4% of total)

ival-neg: 1.0ms (11.4% of total)

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

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

bsearch60.0ms (0.6%)

Memory

-11.4MiB live, 27.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
58.0ms	-1.1990487137527554e-302	1.2116953097496968e-304

Samples

46.0ms	160×	0	valid
5.0ms	80×	0	invalid

Compiler

Compiled 199 to 156 computations (21.6% saved)

Precisions

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

ival-mult: 38.0ms (85.4% of total)

ival-div: 2.0ms (4.5% of total)

ival-sqrt: 2.0ms (4.5% of total)

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

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

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

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

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

bsearch49.0ms (0.5%)

Memory

5.2MiB live, 42.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
46.0ms	-1.1990487137527554e-302	1.2116953097496968e-304

Samples

33.0ms	160×	0	valid
6.0ms	94×	0	invalid

Compiler

Compiled 199 to 156 computations (21.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-neg: 23.0ms (70.9% of total)

ival-mult: 3.0ms (9.3% of total)

ival-div: 2.0ms (6.2% of total)

ival-sqrt: 2.0ms (6.2% of total)

ival-sub: 1.0ms (3.1% of total)

ival-add: 1.0ms (3.1% of total)

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

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

bsearch58.0ms (0.5%)

Memory

-20.3MiB live, 26.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
55.0ms	-1.1990487137527554e-302	1.2116953097496968e-304

Samples

11.0ms	160×	0	valid
6.0ms	83×	0	invalid

Compiler

Compiled 189 to 146 computations (22.8% saved)

Precisions

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

ival-mult: 3.0ms (30.8% of total)

ival-div: 2.0ms (20.5% of total)

ival-sqrt: 2.0ms (20.5% of total)

ival-sub: 1.0ms (10.3% of total)

ival-add: 1.0ms (10.3% of total)

ival-neg: 1.0ms (10.3% of total)

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

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

bsearch26.0ms (0.2%)

Memory

-1.7MiB live, 36.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	2.288280279537632e-91	1.4586046611378892e-83

Samples

5.0ms	42×	1	valid
5.0ms	79×	0	valid
4.0ms	22×	2	valid
4.0ms	25×	0	invalid
0.0ms	1×	3	valid

Compiler

Compiled 136 to 115 computations (15.4% saved)

Precisions

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

ival-mult: 3.0ms (26.5% of total)

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

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

adjust: 1.0ms (8.8% of total)

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

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

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

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

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

simplify12.0ms (0.1%)

Memory

20.3MiB live, 20.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	167
1	95	164
2	121	164
3	132	164
4	136	164

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -49999999999999995716575428608 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (fabs.f64 (.f64 b_2 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 (/.f64 c b_2) b_2)) #s(literal 1 binary64)))))) a) (if (<=.f64 b_2 #s(literal 2870766576277703/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 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 -100000000000000004897672657515052057957222700353074388874504237459016826359338475616123152924727646379311306468151027676205343291866258521710227619840 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 6014939493153283/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864 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 -4230758200257591/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 546812681195753/8543948143683640329580086824678208458410818089426611079788166431288878903122562200091848347746304 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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 c (/.f64 #s(literal -1/2 binary64) b_2)))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (neg.f64 b_2) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
(if (<=.f64 b_2 #s(literal 103028258140179/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552 binary64)) (/.f64 (neg.f64 b_2) a) #s(literal 0 binary64))
#s(literal 0 binary64)

Outputs
(if (<=.f64 b_2 #s(literal -49999999999999995716575428608 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (fabs.f64 (.f64 b_2 (sqrt.f64 (fma.f64 a (neg.f64 (/.f64 (/.f64 c b_2) b_2)) #s(literal 1 binary64)))))) a) (if (<=.f64 b_2 #s(literal 2870766576277703/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 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 -49999999999999995716575428608 binary64)) (/.f64 (-.f64 (fabs.f64 (.f64 b_2 (sqrt.f64 (fma.f64 a (/.f64 (/.f64 c b_2) (neg.f64 b_2)) #s(literal 1 binary64))))) b_2) a) (if (<=.f64 b_2 #s(literal 2870766576277703/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 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 -100000000000000004897672657515052057957222700353074388874504237459016826359338475616123152924727646379311306468151027676205343291866258521710227619840 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 6014939493153283/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864 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 -100000000000000004897672657515052057957222700353074388874504237459016826359338475616123152924727646379311306468151027676205343291866258521710227619840 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 6014939493153283/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864 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 -4230758200257591/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 546812681195753/8543948143683640329580086824678208458410818089426611079788166431288878903122562200091848347746304 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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 c (/.f64 #s(literal -1/2 binary64) b_2)))
(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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (neg.f64 b_2) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (neg.f64 (/.f64 b_2 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
(if (<=.f64 b_2 #s(literal 103028258140179/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552 binary64)) (/.f64 (neg.f64 b_2) a) #s(literal 0 binary64))
(if (<=.f64 b_2 #s(literal 103028258140179/4479489484355608421114884561136888556243290994469299069799978201927583742360321890761754986543214231552 binary64)) (neg.f64 (/.f64 b_2 a)) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness951.0ms (8.9%)

Memory

16.2MiB live, 847.4MiB allocated

Rules

12 174×	`accelerator-lowering-fma.f32`
12 174×	`accelerator-lowering-fma.f64`
11 022×	`accelerator-lowering-fma.f32`
11 022×	`accelerator-lowering-fma.f64`
7 888×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	157
1	193	148
2	1588	145
0	8689	139
0	508	3200
1	1606	3160
2	5520	3144
0	8782	3008
0	580	5790
1	1825	5712
2	6345	5685
0	8147	5471
0	30	180
1	176	170
2	1412	154
0	8544	154

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 492 to 286 computations (41.9% saved)

preprocess84.0ms (0.8%)

Memory: -17.3MiB live, 220.2MiB allocated
Compiler: Compiled 550 to 198 computations (64% 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

analyze238.0ms (2.2%)

sample1.6s (15.1%)

preprocess113.0ms (1.1%)

explain201.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify34.0ms (0.3%)

localize47.0ms (0.4%)

series42.0ms (0.4%)

rewrite281.0ms (2.6%)

simplify538.0ms (5.1%)

eval120.0ms (1.1%)

prune96.0ms (0.9%)

simplify168.0ms (1.6%)

localize151.0ms (1.4%)

series46.0ms (0.4%)

rewrite376.0ms (3.5%)

simplify371.0ms (3.5%)

eval211.0ms (2%)

prune169.0ms (1.6%)

simplify214.0ms (2%)

localize184.0ms (1.7%)

series44.0ms (0.4%)

rewrite358.0ms (3.4%)

simplify481.0ms (4.5%)

eval251.0ms (2.4%)

prune279.0ms (2.6%)

simplify204.0ms (1.9%)

localize147.0ms (1.4%)

series74.0ms (0.7%)

rewrite461.0ms (4.3%)

simplify665.0ms (6.3%)

eval502.0ms (4.7%)

prune314.0ms (2.9%)

regimes120.0ms (1.1%)

regimes30.0ms (0.3%)

regimes44.0ms (0.4%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes52.0ms (0.5%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch41.0ms (0.4%)

bsearch49.0ms (0.5%)

bsearch31.0ms (0.3%)

bsearch24.0ms (0.2%)

bsearch60.0ms (0.6%)

bsearch49.0ms (0.5%)

bsearch58.0ms (0.5%)

bsearch26.0ms (0.2%)

simplify12.0ms (0.1%)

soundness951.0ms (8.9%)

preprocess84.0ms (0.8%)

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