Metrics for quad2m (problem 3.2.1, negative)

analyze138.0ms (1.3%)

Memory

-5.3MiB live, 243.0MiB 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)

sample1.4s (13.2%)

Memory

21.5MiB live, 2 074.1MiB allocated

Samples

434.0ms	5 568×	0	valid
279.0ms	1 138×	2	valid
210.0ms	1 336×	1	valid
99.0ms	1 094×	0	invalid
53.0ms	208×	3	valid
2.0ms	6×	4	valid

Precisions

Click to see histograms. Total time spent on operations: 785.0ms

ival-mult: 197.0ms (25.1% of total)

ival-sub: 174.0ms (22.2% of total)

ival-div: 132.0ms (16.8% of total)

ival-sqrt: 125.0ms (15.9% of total)

ival-neg: 88.0ms (11.2% of total)

adjust: 58.0ms (7.4% of total)

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

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

Bogosity

preprocess118.0ms (1.1%)

Memory

9.8MiB live, 87.2MiB allocated

Algorithm

2×	egg-herbie

Rules

890×	`div-sub`
836×	`times-frac`
416×	`accelerator-lowering-fma.f32`
416×	`accelerator-lowering-fma.f64`
398×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	131
1	151	131
2	364	126
3	1109	126
4	2541	126
5	3374	126
6	3431	126
7	3561	126
8	3661	126
9	3661	126
10	3661	126
0	10	13
1	25	13
2	52	13
3	114	13
4	193	13
5	346	13
6	582	13
7	689	13
8	752	13
9	768	13
10	769	13
0	769	13

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

explain155.0ms (1.4%)

Memory

16.7MiB live, 255.9MiB 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)))`
63	-	1	(-7.322711390779485e-294 -4.568106228101623e-47 1.4069166070936656e+199)	`(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
14	-	0	-	`(/.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	62	1
`/.f64`	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`	u/n	14	0
↳	`(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	underflow	30
↳	`(*.f64 b_2 b_2)`	underflow	42
↳	`(*.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 -
+	120	2
-	17	117

Precision

0.8759124087591241

Recall

0.9836065573770492

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	120	1	1
-	17	0	117

Precision?

0.8768115942028986

Recall?

0.9918032786885246

Freqs

test

number	freq
0	119
1	97
2	39
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms	332×	0	valid
17.0ms	80×	2	valid
12.0ms	78×	1	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: 42.0ms

ival-mult: 13.0ms (31.2% of total)

ival-sub: 7.0ms (16.8% of total)

ival-div: 6.0ms (14.4% of total)

ival-sqrt: 6.0ms (14.4% of total)

ival-neg: 5.0ms (12% of total)

adjust: 4.0ms (9.6% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.7%	(/.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)

simplify36.0ms (0.3%)

Memory

-16.9MiB live, 57.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

416×	`accelerator-lowering-fma.f32`
416×	`accelerator-lowering-fma.f64`
264×	`-lowering-.f32`
264×	`-lowering-.f64`
120×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	50
1	25	50
2	52	50
3	114	50
4	193	50
5	346	50
6	582	50
7	689	50
8	752	50
9	768	50
10	769	50
0	769	50

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 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
(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

localize61.0ms (0.6%)

Memory

-13.1MiB live, 87.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	94.7%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	accuracy	77.7%	(-.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

30.0ms	166×	0	valid
11.0ms	40×	2	valid
6.0ms	39×	1	valid
3.0ms	11×	3	valid

Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions

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

ival-sub: 21.0ms (58.9% of total)

ival-mult: 5.0ms (14% of total)

ival-div: 3.0ms (8.4% of total)

ival-sqrt: 3.0ms (8.4% of total)

adjust: 2.0ms (5.6% of total)

ival-neg: 2.0ms (5.6% of total)

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

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

series22.0ms (0.2%)

Memory

5.4MiB live, 42.9MiB allocated

Counts

5 → 156

Calls

Call 1

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

Outputs
#<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))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))>
#<alt (* -2 (/ b_2 a))>
#<alt (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))>
#<alt (* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))>
#<alt (* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))>
#<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 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))>
#<alt (* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 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))))))) b_2))>
#<alt (* -2 (/ b_2 a))>
#<alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)>
#<alt (/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)>
#<alt (/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)>
#<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)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ b_2 (* -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))) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -2 (/ b_2 a))>
#<alt (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))>
#<alt (+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))>
#<alt (+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))>
#<alt (* -1 (* (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 (* -2 b_2)>
#<alt (* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))>
#<alt (* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))>
#<alt (* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))>
#<alt (* -1/2 (/ (* a c) b_2))>
#<alt (* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))>
#<alt (* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))>
#<alt (* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -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 (* -2 b_2)>
#<alt (- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))>
#<alt (- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))>
#<alt (- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))>
#<alt (* -1 (* (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 (* (sqrt (* a c)) (sqrt -1))>
#<alt (* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))>
#<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 (* -2 b_2)>
#<alt (- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))>
#<alt (- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))>
#<alt (- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))>
#<alt (* -1 (* (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 (* (sqrt (* a c)) (sqrt -1))>
#<alt (* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))>
#<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 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
3.0ms	c	@	inf	(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
1.0ms	a	@	inf	(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
1.0ms	b_2	@	0	(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
1.0ms	c	@	-inf	(sqrt (- (* b_2 b_2) (* a c)))
1.0ms	b_2	@	inf	(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)

rewrite331.0ms (3%)

Memory

14.0MiB live, 515.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 618×	`accelerator-lowering-fma.f32`
4 618×	`accelerator-lowering-fma.f64`
3 760×	`-lowering-.f32`
3 760×	`-lowering-.f64`
2 318×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	41
1	61	41
2	496	38
3	6592	38
0	8415	38

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 440

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)
(sqrt (- (* b_2 b_2) (* a c)))
(- (* b_2 b_2) (* a c))

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

simplify329.0ms (3%)

Memory

2.0MiB live, 569.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 494×	`accelerator-lowering-fma.f32`
8 494×	`accelerator-lowering-fma.f64`
6 878×	`-lowering-.f32`
6 878×	`-lowering-.f64`
2 476×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	528	3105
1	1657	3067
2	5513	3045
0	8289	2913

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

eval94.0ms (0.9%)

Memory: -13.4MiB live, 178.3MiB allocated
Compiler: Compiled 20 488 to 2 006 computations (90.2% saved)

prune141.0ms (1.3%)

Memory

8.2MiB live, 239.8MiB allocated

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	572	24	596
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	572	25	597

Accuracy

94.6%

Counts

597 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.4%	(fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)))
	32.1%	(fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
	52.3%	(fma.f64 b_2 (/.f64 #s(literal -1 binary64) a) (neg.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)))
▶	32.2%	(/.f64 (fma.f64 c (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2) (.f64 b_2 #s(literal -2 binary64))) a)
	20.5%	(/.f64 (fma.f64 b_2 b_2 (fma.f64 a c (.f64 b_2 b_2))) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
	33.3%	(/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 c (.f64 c a)) (.f64 b_2 b_2)) (.f64 c #s(literal 1/2 binary64))) (neg.f64 b_2))
	32.3%	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (.f64 b_2 b_2)) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) a)
	33.5%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
	32.3%	(/.f64 (-.f64 (/.f64 (.f64 b_2 b_2) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (/.f64 (fma.f64 a c (.f64 b_2 b_2)) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) a)
	22.4%	(/.f64 (-.f64 (.f64 b_2 a) (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (*.f64 a a))
▶	48.3%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
	54.1%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) a)
✓	54.7%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	39.4%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (.f64 b_2 b_2) (fma.f64 (neg.f64 c) (/.f64 a (*.f64 b_2 b_2)) #s(literal 1 binary64))))) a)
	34.1%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	32.2%	(/.f64 (-.f64 (neg.f64 b_2) b_2) a)
	37.9%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
	32.7%	(/.f64 (.f64 a (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)) a)
	30.5%	(/.f64 (neg.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 a c (.f64 b_2 b_2))) a)) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
	54.6%	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
▶	33.5%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) (neg.f64 a)))
	20.1%	(.f64 (fma.f64 b_2 b_2 (fma.f64 a c (.f64 b_2 b_2))) (/.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
▶	54.6%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
	22.4%	(.f64 (-.f64 (.f64 b_2 a) (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (/.f64 #s(literal 1 binary64) (.f64 a a)))
▶	32.1%	(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))

Compiler

Compiled 938 to 540 computations (42.4% saved)

simplify326.0ms (3%)

Memory

-25.3MiB live, 433.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (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) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
✓	cost-diff	128	(-.f64 (neg.f64 b_2) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
✓	cost-diff	0	(-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
✓	cost-diff	448	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) (neg.f64 a))
✓	cost-diff	704	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) (neg.f64 a)))
✓	cost-diff	0	(*.f64 a #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 a #s(literal 1/2 binary64)) b_2)
✓	cost-diff	0	(fma.f64 c (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2) (.f64 b_2 #s(literal -2 binary64)))
✓	cost-diff	0	(/.f64 (fma.f64 c (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2) (.f64 b_2 #s(literal -2 binary64))) a)
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) a)
✓	cost-diff	0	(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
✓	cost-diff	0	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	cost-diff	0	(+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) a)
✓	cost-diff	192	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))

Rules

10 960×	`accelerator-lowering-fma.f32`
10 960×	`accelerator-lowering-fma.f64`
2 352×	`-lowering-.f32`
2 352×	`-lowering-.f64`
1 672×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	267
1	79	262
2	188	261
3	469	257
4	1251	256
5	3623	256
6	5400	256
7	6902	256
8	7340	256
9	7554	256
10	7593	256
11	7716	256
0	8276	254

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize190.0ms (1.7%)

Memory

6.7MiB live, 280.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	94.7%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) a)
✓	accuracy	77.7%	(-.f64 (neg.f64 b_2) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (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)))
✓	accuracy	63.4%	(/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	accuracy	99.0%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	95.7%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))) (neg.f64 a))
✓	accuracy	81.4%	(-.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)))
✓	accuracy	100.0%	(*.f64 b_2 #s(literal -2 binary64))
✓	accuracy	100.0%	(*.f64 a #s(literal 1/2 binary64))
✓	accuracy	98.4%	(fma.f64 c (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2) (.f64 b_2 #s(literal -2 binary64)))
✓	accuracy	95.1%	(/.f64 (fma.f64 c (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2) (.f64 b_2 #s(literal -2 binary64))) a)
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) a)
✓	accuracy	99.8%	(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
✓	accuracy	99.0%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	94.5%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
✓	accuracy	77.7%	(+.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

63.0ms	62×	2	valid
36.0ms	78×	1	valid
20.0ms	92×	0	valid
16.0ms	23×	3	valid
1.0ms	1×	4	valid

Compiler

Compiled 267 to 33 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-div: 48.0ms (51.8% of total)

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

adjust: 9.0ms (9.7% of total)

ival-sub: 7.0ms (7.6% of total)

ival-sqrt: 5.0ms (5.4% of total)

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

ival-neg: 3.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

series63.0ms (0.6%)

Memory

1.4MiB live, 119.0MiB allocated

Counts

20 → 576

Calls

Call 1

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

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

Calls

144 calls:

Time	Variable		Point	Expression
5.0ms	b_2	@	0	(/ 1 (- b_2 (sqrt (- (* b_2 b_2) (* a c)))))
3.0ms	c	@	0	(/ 1 (- b_2 (sqrt (- (* b_2 b_2) (* a c)))))
3.0ms	c	@	-inf	(* (/ 1 (- b_2 (sqrt (- (* b_2 b_2) (* a c))))) (neg a))
2.0ms	a	@	-inf	(/ -1 (* (/ 1 (- b_2 (sqrt (- (* b_2 b_2) (* a c))))) (neg a)))
2.0ms	a	@	-inf	(* b_2 (/ -2 a))

rewrite458.0ms (4.2%)

Memory

12.5MiB live, 807.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 168×	`/-lowering-/.f32`
5 168×	`/-lowering-/.f64`
4 698×	`accelerator-lowering-fma.f32`
4 698×	`accelerator-lowering-fma.f64`
3 976×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	182
1	180	173
2	1549	165
0	9102	163

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 1 438

Calls

Call 1

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

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

simplify698.0ms (6.4%)

Memory

20.1MiB live, 933.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 752×	`accelerator-lowering-fma.f32`
7 752×	`accelerator-lowering-fma.f64`
7 198×	`-lowering-.f32`
7 198×	`-lowering-.f64`
5 004×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1228	11453
1	4063	11176
0	8620	10694

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 576

Calls

Call 1

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

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

eval650.0ms (5.9%)

Memory: -73.5MiB live, 808.0MiB allocated
Compiler: Compiled 95 180 to 7 304 computations (92.3% saved)

prune598.0ms (5.5%)

Memory

-29.8MiB live, 710.5MiB allocated

Pruning

32 alts after pruning (28 fresh and 4 done)

	Pruned	Kept	Total
New	2 745	19	2 764
Fresh	10	9	19
Picked	2	3	5
Done	0	1	1
Total	2 757	32	2 789

Accuracy

94.6%

Counts

2 789 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.2%	(fma.f64 (/.f64 #s(literal -1 binary64) a) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 b_2 (neg.f64 a)))
	52.3%	(fma.f64 (/.f64 #s(literal -1 binary64) a) b_2 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (neg.f64 a)))
	32.1%	(fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
	53.3%	(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) a) b_2) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) (neg.f64 a)))
✓	32.2%	(/.f64 (fma.f64 c (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2) (.f64 b_2 #s(literal -2 binary64))) a)
	13.8%	(/.f64 (fma.f64 c (exp.f64 (.f64 (log.f64 (/.f64 b_2 (.f64 a #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (*.f64 b_2 #s(literal -2 binary64))) a)
	33.3%	(/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 c (.f64 c a)) (.f64 b_2 b_2)) (.f64 c #s(literal 1/2 binary64))) (neg.f64 b_2))
	27.9%	(/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (.f64 #s(literal 0 binary64) b_2))) #s(literal -1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (.f64 #s(literal 0 binary64) b_2))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) a)
	32.3%	(/.f64 (-.f64 (/.f64 (.f64 b_2 b_2) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (/.f64 (fma.f64 a c (.f64 b_2 b_2)) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) a)
	22.4%	(/.f64 (-.f64 (.f64 b_2 a) (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (*.f64 a a))
	32.0%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (sqrt.f64 (*.f64 a (neg.f64 c))))) a)
	43.2%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))))) a)
✓	54.7%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	34.1%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	32.2%	(/.f64 (-.f64 (neg.f64 b_2) b_2) a)
	37.9%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
	2.7%	(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
▶	13.2%	(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
	32.1%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2))
▶	54.6%	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
	27.3%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (neg.f64 a)))
▶	2.7%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (neg.f64 a)))
▶	13.4%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 b_2 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a c)) (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2)))) (neg.f64 a)))
	2.7%	(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 a b_2)))
▶	53.4%	(-.f64 (/.f64 b_2 (neg.f64 a)) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a))
	20.1%	(.f64 (fma.f64 b_2 b_2 (fma.f64 a c (.f64 b_2 b_2))) (/.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
	23.0%	(.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 (/.f64 (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 (.f64 a c) (fma.f64 a c (.f64 b_2 b_2)))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 (.f64 a c) (fma.f64 a c (*.f64 b_2 b_2))))) b_2))
✓	54.6%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
	34.1%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))
	25.8%	(.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 b_2 (.f64 a c)) (/.f64 #s(literal 1/2 binary64) b_2)))
✓	32.1%	(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
	17.2%	(.f64 b_2 (exp.f64 (.f64 (log.f64 (*.f64 a #s(literal -1/2 binary64))) #s(literal -1 binary64))))

Compiler

Compiled 1 152 to 669 computations (41.9% saved)

simplify259.0ms (2.4%)

Memory

13.9MiB live, 175.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 2 binary64) (.f64 a c)) (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2)))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (.f64 (.f64 b_2 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a c)) (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2)))) (neg.f64 a)))
✓	cost-diff	448	(.f64 b_2 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a c)) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))))
✓	cost-diff	448	(.f64 (.f64 b_2 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a c)) (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2)))) (neg.f64 a))
✓	cost-diff	0	(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)
✓	cost-diff	0	(neg.f64 a)
✓	cost-diff	0	(/.f64 b_2 (neg.f64 a))
✓	cost-diff	704	(-.f64 (/.f64 b_2 (neg.f64 a)) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a))
✓	cost-diff	0	(neg.f64 a)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) b_2)
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (neg.f64 a))
✓	cost-diff	704	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (neg.f64 a)))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) c)
✓	cost-diff	0	(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
✓	cost-diff	0	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	cost-diff	0	(+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	cost-diff	0	(/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
✓	cost-diff	576	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))

Rules

4 760×	`accelerator-lowering-fma.f32`
4 760×	`accelerator-lowering-fma.f64`
2 766×	`-lowering-.f32`
2 766×	`-lowering-.f64`
1 858×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	231
1	73	228
2	210	224
3	549	217
4	1498	217
5	5141	213
6	7764	213
0	8200	210

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize237.0ms (2.2%)

Memory

-8.9MiB live, 149.5MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.8%	(/.f64 #s(literal 2 binary64) (*.f64 a c))
✓	accuracy	98.5%	(/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))
✓	accuracy	90.6%	(.f64 (.f64 b_2 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a c)) (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2)))) (neg.f64 a))
✓	accuracy	79.6%	(.f64 b_2 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 a c)) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))))
✓	accuracy	99.9%	(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)
✓	accuracy	99.0%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	71.6%	(-.f64 (/.f64 b_2 (neg.f64 a)) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a))
✓	accuracy	63.6%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) b_2)
✓	accuracy	100.0%	(neg.f64 a)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (neg.f64 a))
✓	accuracy	99.4%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (neg.f64 a)))
✓	accuracy	100.0%	(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) c)
✓	accuracy	99.0%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	94.7%	(/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
✓	accuracy	77.7%	(+.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

39.0ms	41×	2	valid
34.0ms	165×	0	valid
33.0ms	47×	1	valid
2.0ms	3×	3	valid

Compiler

Compiled 234 to 31 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-div: 22.0ms (33.2% of total)

ival-sqrt: 18.0ms (27.1% of total)

ival-mult: 13.0ms (19.6% of total)

ival-sub: 4.0ms (6% of total)

adjust: 4.0ms (6% of total)

ival-add: 3.0ms (4.5% of total)

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

exact: 1.0ms (1.5% of total)

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

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

series53.0ms (0.5%)

Memory

18.3MiB live, 56.9MiB allocated

Counts

20 → 564

Calls

Call 1

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

Outputs
#<alt (* -2 (/ b_2 a))>
#<alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)>
#<alt (/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)>
#<alt (/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)>
#<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)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ b_2 (* -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))) 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))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 a))))>
#<alt (* -2 (/ b_2 a))>
#<alt (* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))>
#<alt (* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))>
#<alt (* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))>
#<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 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))>
#<alt (* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 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))))))) b_2))>
#<alt (* -2 (/ b_2 a))>
#<alt (+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))>
#<alt (+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))>
#<alt (+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2)))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))>
#<alt (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))>
#<alt (* 1/2 (/ a b_2))>
#<alt (* a (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))>
#<alt (* a (+ (* a (- (* 1/16 (/ (* a (pow c 2)) (pow b_2 5))) (* -1/8 (/ c (pow b_2 3))))) (* 1/2 (/ 1 b_2))))>
#<alt (* a (+ (* a (- (* a (- (* -1 (* a (+ (* -1/32 (/ (pow c 3) (pow b_2 7))) (* -1/128 (/ (pow c 3) (pow b_2 7)))))) (* -1/16 (/ (pow c 2) (pow b_2 5))))) (* -1/8 (/ c (pow b_2 3))))) (* 1/2 (/ 1 b_2))))>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))>
#<alt (- (+ (* -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)))) (/ b_2 (* c (pow (sqrt -1) 2))))>
#<alt (- (+ (* -1 (/ (+ (* -1 (* (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)))) (* -1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4))))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (/ b_2 (* c (pow (sqrt -1) 2))))))>
#<alt (* -1 (* (sqrt (/ a c)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c))>
#<alt (+ (* -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)))) (/ (* a b_2) c)) a)))>
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (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 (/ (* a (pow b_2 3)) (pow c 2)))) (+ (* -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)) (/ (* a b_2) c)) a)))>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -1)))>
#<alt (+ (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))>
#<alt (+ (* 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))))>
#<alt (+ (* b_2 (- (* b_2 (- (* b_2 (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -1) 4))))) (* -1 (* (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))))>
#<alt (* 1/2 (/ a b_2))>
#<alt (/ (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* 1/2 a)) b_2)>
#<alt (/ (- (+ (* 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)>
#<alt (/ (- (+ (* -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)>
#<alt (* 2 (/ b_2 c))>
#<alt (* -1 (* b_2 (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))>
#<alt (* -1 (* 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))))))>
#<alt (* -1 (* 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))))))))>
#<alt (* 1/2 (/ a b_2))>
#<alt (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* 1/2 (/ a b_2)))>
#<alt (+ (* 1/2 (/ a b_2)) (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))))>
#<alt (+ (* 1/2 (/ a b_2)) (* c (- (* c (- (* -1 (* c (+ (* -1/32 (/ (pow a 4) (pow b_2 7))) (* -1/128 (/ (pow a 4) (pow b_2 7)))))) (* -1/16 (/ (pow a 3) (pow b_2 5))))) (* -1/8 (/ (pow a 2) (pow b_2 3))))))>
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -1)))>
#<alt (/ (+ (* -1 (/ b_2 (pow (sqrt -1) 2))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) c)>
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#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (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)))) (* -1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 4))))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (/ b_2 (pow (sqrt -1) 2))))) c)>
#<alt (* -1 (* (sqrt (/ a c)) (sqrt -1)))>
#<alt (* -1 (/ (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) c))>
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#<alt (* (sqrt (* a c)) (sqrt -1))>
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#<alt (* 2 b_2)>
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#<alt (* 2 b_2)>
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#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* 2 b_2)>
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#<alt (* (sqrt (* a c)) (sqrt -1))>
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#<alt (* (sqrt (* a c)) (sqrt -1))>
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#<alt b_2>
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#<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)))>
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#<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 (* 1/2 (/ c b_2))>
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#<alt (* 1/2 c)>
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#<alt (/ 1/2 b_2)>
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#<alt (* -1/2 (/ c b_2))>
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#<alt (* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -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 b_2) b_2) a)>
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#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* (sqrt (/ c a)) (sqrt -1)) (* (pow b_2 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)))))))>
#<alt (+ (* (sqrt (/ c a)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))>
#<alt (/ b_2 a)>
#<alt (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (/ 1 a)))>
#<alt (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (/ 1 a))))>
#<alt (* 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))) (/ 1 a)))))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_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))) (/ 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))) (/ 1 a))))))>
#<alt (/ b_2 a)>
#<alt (/ (+ b_2 (* -1/2 (/ (* a c) b_2))) a)>
#<alt (/ (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) a)>
#<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)))))))) a)>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -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 (+ (* -1/8 (* (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 (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1))))))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))))))>
#<alt (/ b_2 a)>
#<alt (+ (* -1/2 (/ c b_2)) (/ b_2 a))>
#<alt (+ (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) (/ b_2 a))>
#<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)))) (/ b_2 a))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* 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 (+ (* -1/8 (* (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 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 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 (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))>
#<alt (* 1/2 (/ a b_2))>
#<alt (/ (+ (* -2 (/ (pow b_2 2) c)) (* 1/2 a)) b_2)>
#<alt (/ (+ (* -2 (/ (pow b_2 2) c)) (* 1/2 a)) b_2)>
#<alt (/ (+ (* -2 (/ (pow b_2 2) c)) (* 1/2 a)) b_2)>
#<alt (* -2 (/ b_2 c))>
#<alt (* b_2 (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))>
#<alt (* b_2 (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))>
#<alt (* b_2 (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))>
#<alt (* -2 (/ b_2 c))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))>
#<alt (* -1 (* b_2 (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))))>
#<alt (* -2 (/ b_2 c))>
#<alt (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))>
#<alt (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))>
#<alt (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))>
#<alt (* 1/2 (/ a b_2))>
#<alt (* a (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))>
#<alt (* a (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))>
#<alt (* a (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))>
#<alt (* 1/2 (/ a b_2))>
#<alt (* -1 (* a (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))>
#<alt (* -1 (* a (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))>
#<alt (* -1 (* a (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))))>
#<alt (* -2 (/ b_2 c))>
#<alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) c)>
#<alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) c)>
#<alt (/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) c)>
#<alt (* 1/2 (/ a b_2))>
#<alt (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))>
#<alt (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))>
#<alt (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))>
#<alt (* 1/2 (/ a b_2))>
#<alt (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))>
#<alt (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))>
#<alt (+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2)))>
#<alt (/ -1/2 b_2)>
#<alt (/ (- (* 2 (/ (pow b_2 2) (* a c))) 1/2) b_2)>
#<alt (/ (- (* 2 (/ (pow b_2 2) (* a c))) 1/2) b_2)>
#<alt (/ (- (* 2 (/ (pow b_2 2) (* a c))) 1/2) b_2)>
#<alt (* 2 (/ b_2 (* a c)))>
#<alt (* b_2 (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))>
#<alt (* b_2 (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))>
#<alt (* b_2 (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2)))))>
#<alt (* 2 (/ b_2 (* a c)))>
#<alt (* -1 (* b_2 (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c))))))>
#<alt (* -1 (* b_2 (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c))))))>
#<alt (* -1 (* b_2 (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c))))))>
#<alt (* 2 (/ b_2 (* a c)))>
#<alt (/ (+ (* -1/2 (/ a b_2)) (* 2 (/ b_2 c))) a)>
#<alt (/ (+ (* -1/2 (/ a b_2)) (* 2 (/ b_2 c))) a)>
#<alt (/ (+ (* -1/2 (/ a b_2)) (* 2 (/ b_2 c))) a)>
#<alt (/ -1/2 b_2)>
#<alt (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))>
#<alt (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))>
#<alt (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))>
#<alt (/ -1/2 b_2)>
#<alt (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))>
#<alt (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))>
#<alt (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))>
#<alt (* 2 (/ b_2 (* a c)))>
#<alt (/ (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a))) c)>
#<alt (/ (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a))) c)>
#<alt (/ (+ (* -1/2 (/ c b_2)) (* 2 (/ b_2 a))) c)>
#<alt (/ -1/2 b_2)>
#<alt (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))>
#<alt (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))>
#<alt (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))>
#<alt (/ -1/2 b_2)>
#<alt (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))>
#<alt (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))>
#<alt (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))>
#<alt (* -2 (/ b_2 a))>
#<alt (* b_2 (- (* -8 (/ (pow b_2 2) (* (pow a 2) c))) (* 2 (/ 1 a))))>
#<alt (* b_2 (- (* (pow b_2 2) (- (* -32 (/ (pow b_2 2) (* (pow a 3) (pow c 2)))) (* 8 (/ 1 (* (pow a 2) c))))) (* 2 (/ 1 a))))>
#<alt (* b_2 (- (* (pow b_2 2) (- (* (pow b_2 2) (- (* -128 (/ (pow b_2 2) (* (pow a 4) (pow c 3)))) (* 32 (/ 1 (* (pow a 3) (pow c 2)))))) (* 8 (/ 1 (* (pow a 2) c))))) (* 2 (/ 1 a))))>
#<alt (* 1/2 (/ c b_2))>
#<alt (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)>
#<alt (/ (- (+ (* 1/32 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* 1/2 c)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)>
#<alt (/ (- (+ (* 1/128 (/ (* (pow a 3) (pow c 4)) (pow b_2 6))) (* 1/2 c)) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/32 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)>
#<alt (* 1/2 (/ c b_2))>
#<alt (* -1 (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2))>
#<alt (* -1 (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/32 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2))>
#<alt (* -1 (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (+ (* -1/32 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (* -1/128 (/ (* (pow a 3) (pow c 4)) (pow b_2 6)))))) b_2))>
#<alt (* 1/2 (/ c b_2))>
#<alt (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2)))>
#<alt (+ (* 1/2 (/ c b_2)) (* a (- (* 1/32 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))))>
#<alt (+ (* 1/2 (/ c b_2)) (* a (- (* a (- (* 1/128 (/ (* a (pow c 4)) (pow b_2 7))) (* -1/32 (/ (pow c 3) (pow b_2 5))))) (* -1/8 (/ (pow c 2) (pow b_2 3))))))>
#<alt (* -2 (/ b_2 a))>
#<alt (/ (+ (* -8 (/ (pow b_2 3) (* a c))) (* -2 b_2)) a)>
#<alt (/ (- (+ (* -32 (/ (pow b_2 5) (* (pow a 2) (pow c 2)))) (* -2 b_2)) (* 8 (/ (pow b_2 3) (* a c)))) a)>
#<alt (/ (- (+ (* -128 (/ (pow b_2 7) (* (pow a 3) (pow c 3)))) (* -2 b_2)) (+ (* 8 (/ (pow b_2 3) (* a c))) (* 32 (/ (pow b_2 5) (* (pow a 2) (pow c 2)))))) a)>
#<alt (* -2 (/ b_2 a))>
#<alt (* -1 (/ (+ (* 2 b_2) (* 8 (/ (pow b_2 3) (* a c)))) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -32 (/ (pow b_2 5) (* a (pow c 2)))) (* -8 (/ (pow b_2 3) c))) a)) (* 2 b_2)) a))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow b_2 3) c)) (* -1 (/ (+ (* 32 (/ (pow b_2 5) (pow c 2))) (* 128 (/ (pow b_2 7) (* a (pow c 3))))) a))) a)) (* 2 b_2)) 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 (- (* 1/32 (/ (* (pow a 2) c) (pow b_2 5))) (* -1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2))))>
#<alt (* c (+ (* c (- (* c (- (* 1/128 (/ (* (pow a 3) c) (pow b_2 7))) (* -1/32 (/ (pow a 2) (pow b_2 5))))) (* -1/8 (/ a (pow b_2 3))))) (* 1/2 (/ 1 b_2))))>
#<alt (* -2 (/ b_2 a))>
#<alt (+ (* -8 (/ (pow b_2 3) (* (pow a 2) c))) (* -2 (/ b_2 a)))>
#<alt (- (+ (* -32 (/ (pow b_2 5) (* (pow a 3) (pow c 2)))) (* -2 (/ b_2 a))) (* 8 (/ (pow b_2 3) (* (pow a 2) c))))>
#<alt (- (+ (* -128 (/ (pow b_2 7) (* (pow a 4) (pow c 3)))) (* -2 (/ b_2 a))) (+ (* 8 (/ (pow b_2 3) (* (pow a 2) c))) (* 32 (/ (pow b_2 5) (* (pow a 3) (pow c 2))))))>
#<alt (* -2 (/ b_2 a))>
#<alt (+ (* -8 (/ (pow b_2 3) (* (pow a 2) c))) (* -2 (/ b_2 a)))>
#<alt (+ (* -2 (/ b_2 a)) (* -1 (/ (- (* 32 (/ (pow b_2 5) (* (pow a 3) c))) (* -8 (/ (pow b_2 3) (pow a 2)))) c)))>
#<alt (+ (* -2 (/ b_2 a)) (* -1 (/ (- (* -1 (/ (- (* -128 (/ (pow b_2 7) (* (pow a 4) c))) (* 32 (/ (pow b_2 5) (pow a 3)))) c)) (* -8 (/ (pow b_2 3) (pow a 2)))) c)))>
#<alt (/ 2 (* a c))>
#<alt (/ (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))) a)>
#<alt (/ (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))) a)>
#<alt (/ (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))) a)>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))>
#<alt (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))>
#<alt (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))>
#<alt (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))>
#<alt (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))>
#<alt (/ 2 (* a c))>
#<alt (/ (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))) c)>
#<alt (/ (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))) c)>
#<alt (/ (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))) c)>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))>
#<alt (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))>
#<alt (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))>
#<alt (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))>
#<alt (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ (- (* 2 (/ (pow b_2 2) (* a c))) 1/2) (pow b_2 2))>
#<alt (/ (- (* 2 (/ (pow b_2 2) (* a c))) 1/2) (pow b_2 2))>
#<alt (/ (- (* 2 (/ (pow b_2 2) (* a c))) 1/2) (pow b_2 2))>
#<alt (/ 2 (* a c))>
#<alt (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))>
#<alt (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))>
#<alt (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))>
#<alt (/ 2 (* a c))>
#<alt (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))>
#<alt (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))>
#<alt (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))>
#<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))))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ -1/2 (pow b_2 2))>
#<alt (/ 2 (* a c))>
#<alt (/ 2 (* a c))>
#<alt (/ 2 (* a c))>
#<alt (/ 2 (* a c))>
#<alt (/ 2 (* a c))>
#<alt (/ 2 (* a c))>
#<alt (/ 2 (* a c))>
#<alt (/ 2 (* a c))>
#<alt (/ 2 (* a c))>
#<alt (/ 2 (* a c))>
#<alt (/ 2 (* a c))>
#<alt (/ 2 (* a c))>
#<alt (/ 2 (* a c))>
#<alt (/ 2 (* a c))>
#<alt (/ 2 (* a c))>
#<alt (/ 2 (* a c))>
#<alt (/ 2 (* a c))>
#<alt (/ 2 (* a c))>
#<alt (/ 2 (* a c))>
#<alt (/ 2 (* a c))>
#<alt (/ 2 (* a c))>
#<alt (/ 2 (* a c))>
#<alt (/ 2 (* a c))>
#<alt (/ 2 (* a c))>

Calls

141 calls:

Time	Variable		Point	Expression
11.0ms	b_2	@	0	(/ (sqrt (- (* b_2 b_2) (* a c))) a)
1.0ms	a	@	0	(* (* b_2 (+ (/ 2 (* a c)) (/ -1/2 (* b_2 b_2)))) (neg a))
1.0ms	b_2	@	0	(* (* b_2 (+ (/ 2 (* a c)) (/ -1/2 (* b_2 b_2)))) (neg a))
1.0ms	c	@	inf	(/ a (+ b_2 (sqrt (- (* b_2 b_2) (* a c)))))
1.0ms	c	@	-inf	(/ a (+ b_2 (sqrt (- (* b_2 b_2) (* a c)))))

rewrite531.0ms (4.9%)

Memory

2.0MiB live, 517.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 784×	`/-lowering-/.f32`
5 784×	`/-lowering-/.f64`
4 150×	`accelerator-lowering-fma.f32`
4 150×	`accelerator-lowering-fma.f64`
3 590×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	174
1	197	168
2	1965	161
0	8309	157

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 928

Calls

Call 1

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

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

simplify419.0ms (3.8%)

Memory

-26.6MiB live, 890.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 518×	`accelerator-lowering-fma.f32`
8 518×	`accelerator-lowering-fma.f64`
6 072×	`-lowering-.f32`
6 072×	`-lowering-.f64`
5 434×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1123	8932
1	3604	8721
0	8135	8360

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

Calls

Call 1

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

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

eval274.0ms (2.5%)

Memory: 31.2MiB live, 588.1MiB allocated
Compiler: Compiled 41 214 to 4 267 computations (89.6% saved)

prune203.0ms (1.8%)

Memory

2.4MiB live, 647.7MiB allocated

Pruning

37 alts after pruning (29 fresh and 8 done)

	Pruned	Kept	Total
New	1 678	11	1 689
Fresh	5	18	23
Picked	1	4	5
Done	0	4	4
Total	1 684	37	1 721

Accuracy

94.6%

Counts

1 721 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.2%	(fma.f64 (/.f64 #s(literal -1 binary64) a) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 b_2 (neg.f64 a)))
▶	32.1%	(fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
✓	32.2%	(/.f64 (fma.f64 c (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2) (.f64 b_2 #s(literal -2 binary64))) a)
	13.8%	(/.f64 (fma.f64 c (exp.f64 (.f64 (log.f64 (/.f64 b_2 (.f64 a #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (*.f64 b_2 #s(literal -2 binary64))) a)
▶	34.8%	(/.f64 (fma.f64 a b_2 (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (.f64 a (neg.f64 a)))
	33.3%	(/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 c (.f64 c a)) (.f64 b_2 b_2)) (.f64 c #s(literal 1/2 binary64))) (neg.f64 b_2))
	27.9%	(/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (.f64 #s(literal 0 binary64) b_2))) #s(literal -1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (.f64 #s(literal 0 binary64) b_2))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) a)
	32.3%	(/.f64 (-.f64 (/.f64 (.f64 b_2 b_2) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (/.f64 (fma.f64 a c (.f64 b_2 b_2)) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) a)
	32.0%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (sqrt.f64 (*.f64 a (neg.f64 c))))) a)
	43.2%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))))) a)
✓	54.7%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	34.1%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	32.2%	(/.f64 (-.f64 (neg.f64 b_2) b_2) a)
	37.9%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
▶	2.7%	(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
✓	13.2%	(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
	2.7%	(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal 2 binary64))))
	1.3%	(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 a (.f64 b_2 #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 a (.f64 b_2 #s(literal 2 binary64))) (/.f64 a (.f64 b_2 #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) (/.f64 a (*.f64 b_2 #s(literal 2 binary64))))))))
✓	54.6%	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
	34.1%	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
	32.1%	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 b_2)))
	8.1%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 a c) a) c)) (/.f64 #s(literal 1/4 binary64) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))) b_2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 a c)) (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2)))) (neg.f64 a)))
	27.3%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (neg.f64 a)))
✓	2.7%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (neg.f64 a)))
	24.5%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 b_2 (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))) (neg.f64 a)))
✓	53.4%	(-.f64 (/.f64 b_2 (neg.f64 a)) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a))
▶	53.3%	(-.f64 (.f64 (/.f64 #s(literal -1 binary64) a) b_2) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) a))
	20.1%	(.f64 (fma.f64 b_2 b_2 (fma.f64 a c (.f64 b_2 b_2))) (/.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
	2.7%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b_2 #s(literal 2 binary64)))
▶	23.0%	(.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 (/.f64 (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 (.f64 a c) (fma.f64 a c (.f64 b_2 b_2)))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 (.f64 a c) (fma.f64 a c (*.f64 b_2 b_2))))) b_2))
✓	54.6%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
	34.1%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))
	25.8%	(.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 b_2 (.f64 a c)) (/.f64 #s(literal 1/2 binary64) b_2)))
✓	32.1%	(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
	17.2%	(.f64 b_2 (exp.f64 (.f64 (log.f64 (*.f64 a #s(literal -1/2 binary64))) #s(literal -1 binary64))))
	5.4%	(exp.f64 (.f64 (log.f64 (/.f64 a (.f64 b_2 #s(literal 2 binary64)))) #s(literal -1 binary64)))
	6.2%	(exp.f64 (.f64 (log.f64 (.f64 a (fma.f64 b_2 (/.f64 #s(literal 2 binary64) (*.f64 a c)) (/.f64 #s(literal -1/2 binary64) b_2)))) #s(literal -1 binary64)))

Compiler

Compiled 1 306 to 760 computations (41.8% saved)

simplify348.0ms (3.2%)

Memory

-4.5MiB live, 541.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 (.f64 a c) (fma.f64 a c (.f64 b_2 b_2)))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) a)
✓	cost-diff	192	(.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 (/.f64 (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 (.f64 a c) (fma.f64 a c (.f64 b_2 b_2)))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 (.f64 a c) (fma.f64 a c (*.f64 b_2 b_2))))) b_2))
✓	cost-diff	5440	(fma.f64 (/.f64 (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 (.f64 a c) (fma.f64 a c (.f64 b_2 b_2)))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 (.f64 a c) (fma.f64 a c (.f64 b_2 b_2))))) b_2)
✓	cost-diff	0	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	cost-diff	0	(.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))
✓	cost-diff	192	(fma.f64 a b_2 (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
✓	cost-diff	640	(/.f64 (fma.f64 a b_2 (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (.f64 a (neg.f64 a)))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) a)
✓	cost-diff	0	(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) b_2)
✓	cost-diff	0	(fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 b_2 (/.f64 #s(literal -2 binary64) 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	(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) a)
✓	cost-diff	192	(*.f64 (/.f64 #s(literal -1 binary64) a) b_2)
✓	cost-diff	704	(-.f64 (.f64 (/.f64 #s(literal -1 binary64) a) b_2) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) a))

Rules

10 322×	`accelerator-lowering-fma.f32`
10 322×	`accelerator-lowering-fma.f64`
5 674×	`-lowering-.f32`
5 674×	`-lowering-.f64`
4 402×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	394
1	103	376
2	256	376
3	610	376
4	2061	311
0	8319	301

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize199.0ms (1.8%)

Memory

19.2MiB live, 369.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	86.6%	(.f64 (.f64 a c) (fma.f64 a c (*.f64 b_2 b_2)))
✓	accuracy	63.6%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	accuracy	36.8%	(fma.f64 (/.f64 (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 (.f64 a c) (fma.f64 a c (.f64 b_2 b_2)))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 (.f64 a c) (fma.f64 a c (.f64 b_2 b_2))))) b_2)
✓	accuracy	34.5%	(/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 (.f64 a c) (fma.f64 a c (*.f64 b_2 b_2)))))
✓	accuracy	99.0%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	68.9%	(fma.f64 a b_2 (.f64 a (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)))
✓	accuracy	53.5%	(/.f64 (fma.f64 a b_2 (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (.f64 a (neg.f64 a)))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) b_2)
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) a)
✓	accuracy	99.9%	(fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
✓	accuracy	99.8%	(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
✓	accuracy	100.0%	(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
✓	accuracy	100.0%	(*.f64 b_2 #s(literal 2 binary64))
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal -1 binary64) a) b_2)
✓	accuracy	99.0%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	72.7%	(-.f64 (.f64 (/.f64 #s(literal -1 binary64) a) b_2) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) a))
✓	accuracy	63.6%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Samples

49.0ms	165×	0	valid
42.0ms	36×	3	valid
23.0ms	27×	2	valid
13.0ms	25×	1	valid
4.0ms	3×	5	exit

Compiler

Compiled 396 to 40 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-mult: 34.0ms (36.6% of total)

ival-div: 25.0ms (26.9% of total)

ival-add: 11.0ms (11.8% of total)

adjust: 9.0ms (9.7% of total)

ival-sub: 8.0ms (8.6% of total)

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

exact: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

series66.0ms (0.6%)

Memory

-26.4MiB live, 148.2MiB allocated

Counts

20 → 588

Calls

Call 1

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

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

Calls

147 calls:

Time	Variable		Point	Expression
13.0ms	b_2	@	inf	(/ (+ (* b_2 (* b_2 (* b_2 b_2))) (* (* a c) (+ (* a c) (* b_2 b_2)))) (sqrt (- (* b_2 b_2) (* a c))))
4.0ms	a	@	inf	(+ (* (/ (+ (* b_2 (* b_2 (* b_2 b_2))) (* (* a c) (+ (* a c) (* b_2 b_2)))) (sqrt (- (* b_2 b_2) (* a c)))) (/ (- (* b_2 b_2) (* a c)) (+ (* b_2 (* b_2 (* b_2 b_2))) (* (* a c) (+ (* a c) (* b_2 b_2)))))) b_2)
2.0ms	c	@	0	(/ (+ (* b_2 (* b_2 (* b_2 b_2))) (* (* a c) (+ (* a c) (* b_2 b_2)))) (sqrt (- (* b_2 b_2) (* a c))))
2.0ms	b_2	@	0	(/ (+ (* b_2 (* b_2 (* b_2 b_2))) (* (* a c) (+ (* a c) (* b_2 b_2)))) (sqrt (- (* b_2 b_2) (* a c))))
1.0ms	a	@	0	(/ (+ (* b_2 (* b_2 (* b_2 b_2))) (* (* a c) (+ (* a c) (* b_2 b_2)))) (sqrt (- (* b_2 b_2) (* a c))))

rewrite292.0ms (2.7%)

Memory

17.9MiB live, 369.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 696×	`-lowering-.f32`
4 696×	`-lowering-.f64`
4 364×	`/-lowering-/.f32`
4 364×	`/-lowering-/.f64`
2 060×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	292
1	234	211
2	2283	211
0	8258	205

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 678

Calls

Call 1

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

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

simplify483.0ms (4.4%)

Memory

-2.2MiB live, 563.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 048×	`accelerator-lowering-fma.f32`
10 048×	`accelerator-lowering-fma.f64`
6 440×	`+-lowering-+.f64`
6 440×	`+-lowering-+.f32`
5 696×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1379	12920
1	4751	12265
0	8490	11741

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 588

Calls

Call 1

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

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

eval253.0ms (2.3%)

Memory: -1.7MiB live, 415.9MiB allocated
Compiler: Compiled 90 163 to 4 899 computations (94.6% saved)

prune261.0ms (2.4%)

Memory

39.8MiB live, 350.2MiB allocated

Pruning

39 alts after pruning (27 fresh and 12 done)

	Pruned	Kept	Total
New	1 832	5	1 837
Fresh	2	22	24
Picked	1	4	5
Done	0	8	8
Total	1 835	39	1 874

Accuracy

94.6%

Counts

1 874 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.2%	(fma.f64 (/.f64 #s(literal -1 binary64) a) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (/.f64 b_2 (neg.f64 a)))
✓	32.1%	(fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
	31.0%	(fma.f64 c (exp.f64 (.f64 (log.f64 (.f64 b_2 #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
✓	32.2%	(/.f64 (fma.f64 c (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2) (.f64 b_2 #s(literal -2 binary64))) a)
	22.2%	(/.f64 (fma.f64 a b_2 (.f64 a (sqrt.f64 (.f64 a (neg.f64 c))))) (*.f64 a (neg.f64 a)))
	33.3%	(/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 c (.f64 c a)) (.f64 b_2 b_2)) (.f64 c #s(literal 1/2 binary64))) (neg.f64 b_2))
	27.9%	(/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (.f64 #s(literal 0 binary64) b_2))) #s(literal -1 binary64))) (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (.f64 #s(literal 0 binary64) b_2))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) a)
	32.3%	(/.f64 (-.f64 (/.f64 (.f64 b_2 b_2) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (/.f64 (fma.f64 a c (.f64 b_2 b_2)) (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) a)
	32.0%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (sqrt.f64 (*.f64 a (neg.f64 c))))) a)
	43.2%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))))) a)
✓	54.7%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	34.1%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	32.2%	(/.f64 (-.f64 (neg.f64 b_2) b_2) a)
	37.9%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	2.7%	(/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)
	22.3%	(/.f64 (.f64 #s(literal 2 binary64) (.f64 b_2 a)) (*.f64 a (neg.f64 a)))
✓	13.2%	(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
	2.7%	(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal 2 binary64))))
	1.3%	(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 a (.f64 b_2 #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 a (.f64 b_2 #s(literal 2 binary64))) (/.f64 a (.f64 b_2 #s(literal 2 binary64))) (.f64 #s(literal 0 binary64) (/.f64 a (*.f64 b_2 #s(literal 2 binary64))))))))
✓	54.6%	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
	34.1%	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
	32.1%	(/.f64 #s(literal -1 binary64) (/.f64 a (+.f64 b_2 b_2)))
	8.1%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (.f64 (.f64 a c) a) c)) (/.f64 #s(literal 1/4 binary64) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))) b_2) (-.f64 (/.f64 #s(literal 2 binary64) (.f64 a c)) (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2)))) (neg.f64 a)))
	27.3%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (neg.f64 a)))
✓	2.7%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (neg.f64 a)))
	24.5%	(/.f64 #s(literal -1 binary64) (.f64 (.f64 b_2 (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2))) (neg.f64 a)))
✓	53.4%	(-.f64 (/.f64 b_2 (neg.f64 a)) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a))
✓	53.3%	(-.f64 (.f64 (/.f64 #s(literal -1 binary64) a) b_2) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) a))
	20.1%	(.f64 (fma.f64 b_2 b_2 (fma.f64 a c (.f64 b_2 b_2))) (/.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
	2.7%	(*.f64 (/.f64 #s(literal 2 binary64) a) b_2)
	35.5%	(.f64 (/.f64 #s(literal -1 binary64) (.f64 a a)) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))))
✓	23.0%	(.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 (/.f64 (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 (.f64 a c) (fma.f64 a c (.f64 b_2 b_2)))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 (.f64 a c) (fma.f64 a c (*.f64 b_2 b_2))))) b_2))
✓	54.6%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
	34.1%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))
	25.8%	(.f64 c (fma.f64 #s(literal -2 binary64) (/.f64 b_2 (.f64 a c)) (/.f64 #s(literal 1/2 binary64) b_2)))
✓	32.1%	(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
	17.2%	(.f64 b_2 (exp.f64 (.f64 (log.f64 (*.f64 a #s(literal -1/2 binary64))) #s(literal -1 binary64))))
	5.4%	(exp.f64 (.f64 (log.f64 (/.f64 a (.f64 b_2 #s(literal 2 binary64)))) #s(literal -1 binary64)))
	6.2%	(exp.f64 (.f64 (log.f64 (.f64 a (fma.f64 b_2 (/.f64 #s(literal 2 binary64) (*.f64 a c)) (/.f64 #s(literal -1/2 binary64) b_2)))) #s(literal -1 binary64)))

Compiler

Compiled 1 701 to 664 computations (61% saved)

regimes75.0ms (0.7%)

Memory

-34.9MiB live, 107.6MiB allocated

Counts

60 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

22.0ms	a
17.0ms	c
16.0ms	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
16.0ms	b_2

Results

Accuracy	Segments	Branch
54.7%	1	`a`
87.8%	3	`b_2`
54.7%	1	`c`
78.2%	5	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes9.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

26 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

b_2

Results

Accuracy	Segments	Branch
87.8%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory

-26.7MiB live, 11.5MiB allocated

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

7.0ms

b_2

Results

Accuracy	Segments	Branch
83.1%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

18 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

b_2

Results

Accuracy	Segments	Branch
83.0%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

15 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

b_2

Results

Accuracy	Segments	Branch
82.9%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Memory

-23.4MiB live, 15.6MiB allocated

Counts

14 → 2

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
50.0%	4	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
67.5%	2	`b_2`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes3.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

b_2

Results

Accuracy	Segments	Branch
67.4%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
32.1%	1	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
32.1%	1	`a`
32.1%	1	`c`
42.3%	2	`b_2`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes3.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Accuracy

Total -19.4b remaining (-44.7%)

Threshold costs -19.4b (-44.7%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	c
1.0ms	b_2

Results

Accuracy	Segments	Branch
32.1%	1	`c`
32.1%	1	`b_2`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch37.0ms (0.3%)

Memory

-27.5MiB live, 53.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	5.321304956744915e+104	1.3792878616214377e+119
19.0ms	-2.3913384518316343e-89	-3.2681290002645096e-92

Samples

14.0ms	214×	0	valid
4.0ms	28×	1	valid
3.0ms	13×	2	valid
2.0ms	32×	0	invalid
0.0ms	1×	3	valid

Compiler

Compiled 523 to 352 computations (32.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 4.0ms (27.9% of total)

ival-sub: 3.0ms (21% of total)

ival-div: 2.0ms (14% of total)

ival-neg: 2.0ms (14% of total)

ival-sqrt: 2.0ms (14% of total)

adjust: 1.0ms (7% of total)

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

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

bsearch40.0ms (0.4%)

Memory

26.5MiB live, 64.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	5.321304956744915e+104	1.3792878616214377e+119
21.0ms	-2.3913384518316343e-89	-3.2681290002645096e-92

Samples

15.0ms	239×	0	valid
4.0ms	32×	1	valid
3.0ms	16×	2	valid
2.0ms	36×	0	invalid
2.0ms	1×	3	valid

Compiler

Compiled 557 to 380 computations (31.8% saved)

Precisions

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

ival-mult: 4.0ms (22.9% of total)

ival-div: 3.0ms (17.1% of total)

ival-sub: 3.0ms (17.1% of total)

ival-neg: 3.0ms (17.1% of total)

ival-sqrt: 3.0ms (17.1% of total)

adjust: 1.0ms (5.7% of total)

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

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

bsearch34.0ms (0.3%)

Memory

8.8MiB live, 46.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	4.8273620630368486e-71	6.280735192091945e-71
24.0ms	-2.2037083699179856e-142	-1.1796022758936831e-153

Samples

11.0ms	169×	0	valid
4.0ms	63×	0	invalid
4.0ms	28×	1	valid
2.0ms	10×	2	valid
0.0ms	1×	3	valid

Compiler

Compiled 339 to 249 computations (26.5% saved)

Precisions

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

ival-mult: 4.0ms (30% of total)

ival-sub: 3.0ms (22.5% of total)

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

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

adjust: 1.0ms (7.5% of total)

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

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

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

bsearch40.0ms (0.4%)

Memory

-29.2MiB live, 48.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	4.8273620630368486e-71	6.280735192091945e-71
26.0ms	-2.2037083699179856e-142	-1.1796022758936831e-153

Samples

18.0ms	174×	0	valid
5.0ms	77×	0	invalid
3.0ms	26×	1	valid
1.0ms	7×	2	valid
0.0ms	1×	3	valid

Compiler

Compiled 333 to 246 computations (26.1% saved)

Precisions

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

ival-mult: 9.0ms (49.4% of total)

ival-sub: 3.0ms (16.5% of total)

ival-div: 2.0ms (11% of total)

ival-neg: 2.0ms (11% of total)

ival-sqrt: 2.0ms (11% of total)

adjust: 1.0ms (5.5% of total)

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

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

bsearch36.0ms (0.3%)

Memory

13.4MiB live, 50.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	4.8273620630368486e-71	6.280735192091945e-71
27.0ms	-2.2037083699179856e-142	-1.1796022758936831e-153

Samples

11.0ms	172×	0	valid
6.0ms	92×	0	invalid
5.0ms	27×	1	valid
2.0ms	9×	2	valid

Compiler

Compiled 321 to 237 computations (26.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-sqrt: 4.0ms (24.8% of total)

ival-mult: 4.0ms (24.8% of total)

ival-sub: 3.0ms (18.6% of total)

ival-div: 2.0ms (12.4% of total)

ival-neg: 2.0ms (12.4% of total)

adjust: 1.0ms (6.2% of total)

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

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

bsearch19.0ms (0.2%)

Memory

-12.5MiB live, 24.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-1.4069785075691989e-300	-1.1990487137527554e-302

Samples

7.0ms	112×	0	valid
3.0ms	53×	0	invalid

Compiler

Compiled 152 to 114 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 2.0ms (31.3% of total)

ival-sub: 1.0ms (15.7% of total)

ival-div: 1.0ms (15.7% of total)

ival-sqrt: 1.0ms (15.7% of total)

ival-neg: 1.0ms (15.7% of total)

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

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

bsearch16.0ms (0.1%)

Memory

23.9MiB live, 23.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	-1.4069785075691989e-300	-1.1990487137527554e-302

Samples

7.0ms	112×	0	valid
3.0ms	43×	0	invalid

Compiler

Compiled 145 to 114 computations (21.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 2.0ms (33.3% of total)

ival-sub: 1.0ms (16.6% of total)

ival-div: 1.0ms (16.6% of total)

ival-sqrt: 1.0ms (16.6% of total)

ival-neg: 1.0ms (16.6% of total)

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

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

bsearch28.0ms (0.3%)

Memory

0.0MiB live, 37.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	-1.1131773036259255e+52	-1.1183550902099473e+48

Samples

10.0ms	43×	2	valid
5.0ms	36×	1	valid
3.0ms	11×	3	valid
2.0ms	37×	0	valid
0.0ms	6×	0	invalid
0.0ms	1×	4	valid

Compiler

Compiled 163 to 128 computations (21.5% saved)

Precisions

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

ival-div: 4.0ms (26% of total)

ival-mult: 3.0ms (19.5% of total)

adjust: 2.0ms (13% of total)

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

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

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

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

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

simplify20.0ms (0.2%)

Memory

-13.7MiB live, 26.1MiB allocated

Algorithm

1×	egg-herbie

Rules

44×	`*-commutative_binary64`
44×	`+-commutative_binary64`
40×	`sub-neg_binary64`
30×	`neg-sub0_binary64`
30×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	223
1	96	223
2	129	223
3	166	223
4	190	223
5	201	223
6	204	223

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -3302638007025703/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 70000000000000003258911848047426840676296307085154694766228016076225101615897340787222352499834237175059511267618193408 binary64)) (-.f64 (/.f64 b_2 (neg.f64 a)) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)) (/.f64 (fma.f64 c (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2) (*.f64 b_2 #s(literal -2 binary64))) a)))
(if (<=.f64 b_2 #s(literal -8371269948363761/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 8499999999999999833216852071540754170976673010091726139264416803730699347314598382641614204988226302033061216256 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 (fma.f64 c (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2) (*.f64 b_2 #s(literal -2 binary64))) a)))
(if (<=.f64 b_2 #s(literal -6041021940914937/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 466240534134175/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) a) (/.f64 (fma.f64 c (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2) (.f64 b_2 #s(literal -2 binary64))) a)))
(if (<=.f64 b_2 #s(literal -6041021940914937/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 3605593463970953/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) a) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))))
(if (<=.f64 b_2 #s(literal -6041021940914937/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 466240534134175/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) a) (/.f64 (-.f64 (neg.f64 b_2) b_2) a)))
(if (<=.f64 b_2 #s(literal -4632619933486419/386051661123868214325895970762095083331216144111904370034983364157543830047598546775742309000849007597326427200921653578548066591998660043462778854257084865420374725869305346230443778499781067545394454342790117394565596548890481374012190543459242928201313126587598361115137891035519604744312911050121319319358268243968 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 (-.f64 (neg.f64 b_2) b_2) a))
(if (<=.f64 b_2 #s(literal -8493136544725101/386051661123868214325895970762095083331216144111904370034983364157543830047598546775742309000849007597326427200921653578548066591998660043462778854257084865420374725869305346230443778499781067545394454342790117394565596548890481374012190543459242928201313126587598361115137891035519604744312911050121319319358268243968 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
(if (<=.f64 b_2 #s(literal -1150000000000000009857900294534286109934652227584 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) c) b_2) (.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))

Outputs
(if (<=.f64 b_2 #s(literal -3302638007025703/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 70000000000000003258911848047426840676296307085154694766228016076225101615897340787222352499834237175059511267618193408 binary64)) (-.f64 (/.f64 b_2 (neg.f64 a)) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)) (/.f64 (fma.f64 c (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2) (*.f64 b_2 #s(literal -2 binary64))) a)))
(if (<=.f64 b_2 #s(literal -3302638007025703/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 70000000000000003258911848047426840676296307085154694766228016076225101615897340787222352499834237175059511267618193408 binary64)) (-.f64 (/.f64 b_2 (neg.f64 a)) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a))) a)) (/.f64 (fma.f64 c (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2) (*.f64 b_2 #s(literal -2 binary64))) a)))
(if (<=.f64 b_2 #s(literal -8371269948363761/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 8499999999999999833216852071540754170976673010091726139264416803730699347314598382641614204988226302033061216256 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 (fma.f64 c (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2) (*.f64 b_2 #s(literal -2 binary64))) a)))
(if (<=.f64 b_2 #s(literal -8371269948363761/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 8499999999999999833216852071540754170976673010091726139264416803730699347314598382641614204988226302033061216256 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a) (/.f64 (fma.f64 c (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2) (*.f64 b_2 #s(literal -2 binary64))) a)))
(if (<=.f64 b_2 #s(literal -6041021940914937/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 466240534134175/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) a) (/.f64 (fma.f64 c (/.f64 (.f64 a #s(literal 1/2 binary64)) b_2) (.f64 b_2 #s(literal -2 binary64))) a)))
(if (<=.f64 b_2 #s(literal -6041021940914937/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 3605593463970953/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) a) (fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))))
(if (<=.f64 b_2 #s(literal -6041021940914937/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 466240534134175/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) a) (/.f64 (-.f64 (neg.f64 b_2) b_2) a)))
(if (<=.f64 b_2 #s(literal -6041021940914937/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 466240534134175/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) a) (/.f64 (+.f64 b_2 b_2) (neg.f64 a))))
(if (<=.f64 b_2 #s(literal -4632619933486419/386051661123868214325895970762095083331216144111904370034983364157543830047598546775742309000849007597326427200921653578548066591998660043462778854257084865420374725869305346230443778499781067545394454342790117394565596548890481374012190543459242928201313126587598361115137891035519604744312911050121319319358268243968 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 (-.f64 (neg.f64 b_2) b_2) a))
(if (<=.f64 b_2 #s(literal -4632619933486419/386051661123868214325895970762095083331216144111904370034983364157543830047598546775742309000849007597326427200921653578548066591998660043462778854257084865420374725869305346230443778499781067545394454342790117394565596548890481374012190543459242928201313126587598361115137891035519604744312911050121319319358268243968 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (/.f64 (+.f64 b_2 b_2) (neg.f64 a)))
(if (<=.f64 b_2 #s(literal -8493136544725101/386051661123868214325895970762095083331216144111904370034983364157543830047598546775742309000849007597326427200921653578548066591998660043462778854257084865420374725869305346230443778499781067545394454342790117394565596548890481374012190543459242928201313126587598361115137891035519604744312911050121319319358268243968 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
(if (<=.f64 b_2 #s(literal -1150000000000000009857900294534286109934652227584 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) c) b_2) (.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
(if (<=.f64 b_2 #s(literal -1150000000000000009857900294534286109934652227584 binary64)) (/.f64 (.f64 c #s(literal 1/2 binary64)) b_2) (.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))

soundness730.0ms (6.7%)

Memory

5.4MiB live, 441.8MiB allocated

Rules

8 494×	`accelerator-lowering-fma.f32`
8 494×	`accelerator-lowering-fma.f64`
7 752×	`accelerator-lowering-fma.f32`
7 752×	`accelerator-lowering-fma.f64`
7 198×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	182
1	180	173
2	1549	165
0	9102	163
0	528	3105
1	1657	3067
2	5513	3045
0	8289	2913
0	1228	11453
1	4063	11176
0	8620	10694
0	10	41
1	61	41
2	496	38
3	6592	38
0	8415	38

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 396 to 195 computations (50.8% saved)

preprocess83.0ms (0.8%)

Memory: 8.6MiB live, 123.9MiB allocated
Compiler: Compiled 668 to 210 computations (68.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	50
1	25	50
2	52	50
3	114	50
4	193	50
5	346	50
6	582	50
7	689	50
8	752	50
9	768	50
10	769	50
0	769	50

Iter	Nodes	Cost
0	10	50
1	25	50
2	52	50
3	114	50
4	193	50
5	346	50
6	582	50
7	689	50
8	752	50
9	768	50
10	769	50
0	769	50

analyze138.0ms (1.3%)

sample1.4s (13.2%)

preprocess118.0ms (1.1%)

explain155.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify36.0ms (0.3%)

localize61.0ms (0.6%)

series22.0ms (0.2%)

rewrite331.0ms (3%)

simplify329.0ms (3%)

eval94.0ms (0.9%)

prune141.0ms (1.3%)

simplify326.0ms (3%)

localize190.0ms (1.7%)

series63.0ms (0.6%)

rewrite458.0ms (4.2%)

simplify698.0ms (6.4%)

eval650.0ms (5.9%)

prune598.0ms (5.5%)

simplify259.0ms (2.4%)

localize237.0ms (2.2%)

series53.0ms (0.5%)

rewrite531.0ms (4.9%)

simplify419.0ms (3.8%)

eval274.0ms (2.5%)

prune203.0ms (1.8%)

simplify348.0ms (3.2%)

localize199.0ms (1.8%)

series66.0ms (0.6%)

rewrite292.0ms (2.7%)

simplify483.0ms (4.4%)

eval253.0ms (2.3%)

prune261.0ms (2.4%)

regimes75.0ms (0.7%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes10.0ms (0.1%)

regimes3.0ms (0%)

regimes9.0ms (0.1%)

regimes3.0ms (0%)

bsearch37.0ms (0.3%)

bsearch40.0ms (0.4%)

bsearch34.0ms (0.3%)

bsearch40.0ms (0.4%)

bsearch36.0ms (0.3%)

bsearch19.0ms (0.2%)

bsearch16.0ms (0.1%)

bsearch28.0ms (0.3%)

simplify20.0ms (0.2%)

soundness730.0ms (6.7%)

preprocess83.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	50
1	25	50
2	52	50
3	114	50
4	193	50
5	346	50
6	582	50
7	689	50
8	752	50
9	768	50
10	769	50
0	769	50