Metrics for quad2m (problem 3.2.1, negative)

analyze124.0ms (1.2%)

Memory

-4.8MiB live, 248.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	5
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	6
42.6%	40.6%	54.6%	0.1%	0%	4.7%	0%	7
51.2%	48.4%	46%	0.1%	0%	5.5%	0%	8
54.5%	49.9%	41.7%	0.1%	0%	8.2%	0%	9
60.2%	53.4%	35.3%	0.1%	0%	11.1%	0%	10
67.6%	58.7%	28.2%	0.1%	0%	13%	0%	11
71.4%	60.6%	24.2%	0.1%	0%	15.1%	0%	12

Compiler

Compiled 15 to 12 computations (20% saved)

sample1.6s (15.7%)

Memory

53.5MiB live, 2 366.1MiB allocated

Samples

501.0ms	5 532×	0	valid
294.0ms	1 353×	1	valid
238.0ms	1 156×	2	valid
117.0ms	1 083×	0	invalid
87.0ms	207×	3	valid
23.0ms	8×	4	valid

Precisions

Click to see histograms. Total time spent on operations: 807.0ms

ival-mult: 174.0ms (21.6% of total)

ival-sqrt: 170.0ms (21.1% of total)

ival-sub: 161.0ms (19.9% of total)

ival-div: 137.0ms (17% of total)

ival-neg: 113.0ms (14% of total)

adjust: 42.0ms (5.2% of total)

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

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

Bogosity

preprocess142.0ms (1.4%)

Memory

-16.0MiB live, 98.9MiB 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)

explain171.0ms (1.7%)

Memory

-4.9MiB live, 249.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
106	0	-	3	(2.011873918962406e-265 -4.0681006188703714e-206 -5.139155167834783e-52)	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
64	0	-	0	-	`(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
10	1	(-4.192705834439836e-166 -3.929141925722739e+246 5.1081800199726627e-76)	2	(1.5459857889163524e-233 -3.853467701894211e+269 -6.964309113691422e+187)	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
3	0	-	0	-	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`
0	0	-	0	-	`(*.f64 b_2 b_2)`
0	0	-	0	-	`a`
0	0	-	0	-	`(neg.f64 b_2)`
0	0	-	0	-	`b_2`
0	0	-	0	-	`(*.f64 a c)`
0	0	-	0	-	`c`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	oflow-rescue	100	0
↳	`(*.f64 b_2 b_2)`	overflow	85
↳	`(*.f64 a c)`	overflow	23
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	overflow	100
`-.f64`	`(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	cancellation	64	0
`/.f64`	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`	u/n	9	0
↳	`(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	underflow	22
↳	`(*.f64 b_2 b_2)`	underflow	44
↳	`(*.f64 a c)`	underflow	31
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	3
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	uflow-rescue	3	0
↳	`(*.f64 b_2 b_2)`	underflow	44
↳	`(*.f64 a c)`	underflow	31
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	3
`-.f64`	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	nan-rescue	3	0
↳	`(*.f64 b_2 b_2)`	overflow	85
↳	`(*.f64 a c)`	overflow	23

Confusion

	Predicted +	Predicted -
+	121	3
-	21	111

Precision

0.852112676056338

Recall

0.9758064516129032

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	121	0	3
-	21	0	111

Precision?

0.852112676056338

Recall?

0.9758064516129032

Freqs

test

number	freq
0	114
1	107
2	33
3	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

54.0ms	342×	0	valid
20.0ms	80×	2	valid
12.0ms	76×	1	valid
4.0ms	14×	3	valid

Compiler

Compiled 136 to 44 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-sub: 27.0ms (41.6% of total)

ival-div: 13.0ms (20% of total)

ival-mult: 11.0ms (16.9% of total)

ival-sqrt: 6.0ms (9.2% of total)

ival-neg: 4.0ms (6.2% of total)

adjust: 3.0ms (4.6% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.6%	(/.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)

simplify40.0ms (0.4%)

Memory

-10.2MiB live, 28.7MiB 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

localize56.0ms (0.5%)

Memory

-4.1MiB live, 77.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	96.6%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	accuracy	77.0%	(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	accuracy	61.7%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Samples

26.0ms	171×	0	valid
9.0ms	40×	2	valid
7.0ms	38×	1	valid
3.0ms	7×	3	valid

Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions

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

ival-sub: 4.0ms (19.4% of total)

ival-div: 4.0ms (19.4% of total)

ival-mult: 4.0ms (19.4% of total)

ival-sqrt: 4.0ms (19.4% of total)

ival-neg: 3.0ms (14.6% of total)

adjust: 1.0ms (4.9% of total)

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

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

series23.0ms (0.2%)

Memory

-2.6MiB live, 34.0MiB 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	a	@	inf	(- (* b_2 b_2) (* a c))
1.0ms	a	@	inf	(/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
1.0ms	c	@	-inf	(sqrt (- (* b_2 b_2) (* a c)))
1.0ms	c	@	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)

rewrite301.0ms (2.9%)

Memory

32.3MiB live, 503.9MiB 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)))))
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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))))))

simplify378.0ms (3.6%)

Memory

-6.3MiB live, 473.5MiB 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))

eval80.0ms (0.8%)

Memory: 4.7MiB live, 117.9MiB allocated
Compiler: Compiled 20 488 to 2 006 computations (90.2% saved)

prune93.0ms (0.9%)

Memory

17.3MiB live, 213.9MiB allocated

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	578	18	596
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	578	19	597

Accuracy

94.0%

Counts

597 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.3%	(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)))
▶	34.8%	(fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
	23.7%	(/.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))))))
	31.5%	(/.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))
	24.9%	(/.f64 (-.f64 (.f64 b_2 a) (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (*.f64 a a))
	46.3%	(/.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)
▶	53.6%	(/.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)
✓	54.6%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	37.1%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	49.7%	(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))) a)
	35.1%	(/.f64 (-.f64 (neg.f64 b_2) b_2) a)
	35.5%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
	35.1%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
	35.1%	(/.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)))
	23.6%	(.f64 (fma.f64 b_2 b_2 (fma.f64 a c (.f64 b_2 b_2))) (/.f64 #s(literal 1 binary64) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))))
	27.2%	(.f64 (/.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 a c (.f64 b_2 b_2))) a) (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)))))
▶	54.6%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
	24.9%	(.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)))
▶	35.0%	(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))

Compiler

Compiled 692 to 408 computations (41% saved)

simplify107.0ms (1%)

Memory

-29.1MiB live, 89.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.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 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c)))))) a)
✓	cost-diff	128	(-.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))))))
✓	cost-diff	0	(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)
✓	cost-diff	0	(neg.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a))
✓	cost-diff	0	(/.f64 b_2 a)
✓	cost-diff	896	(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)))
✓	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 #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

1 120×	`accelerator-lowering-fma.f32`
1 120×	`accelerator-lowering-fma.f64`
744×	`-lowering-.f32`
744×	`-lowering-.f64`
336×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	235
1	72	233
2	137	231
3	258	231
4	426	231
5	771	231
6	1527	231
7	1806	231
8	2141	231
9	2340	231
10	2385	231
11	2400	231
12	2462	231
13	2761	231
14	2771	231
0	2771	230

Stop Event

1×	iter limit
1×	saturated

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

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

localize199.0ms (1.9%)

Memory

12.0MiB live, 187.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.9%	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	accuracy	96.6%	(/.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)
✓	accuracy	77.0%	(-.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))))))
✓	accuracy	62.4%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	accuracy	99.8%	(/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) a)
✓	accuracy	99.1%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	73.4%	(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)))
✓	accuracy	61.7%	(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%	(/.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	99.7%	(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) a)
✓	accuracy	99.7%	(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
✓	accuracy	99.1%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	96.5%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
✓	accuracy	77.0%	(+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	accuracy	61.7%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Samples

75.0ms	46×	2	valid
56.0ms	171×	0	valid
14.0ms	35×	1	valid
3.0ms	4×	3	valid

Compiler

Compiled 238 to 32 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-sqrt: 42.0ms (34.6% of total)

ival-sub: 24.0ms (19.8% of total)

ival-mult: 23.0ms (18.9% of total)

ival-div: 20.0ms (16.5% of total)

ival-add: 5.0ms (4.1% of total)

adjust: 3.0ms (2.5% of total)

ival-neg: 3.0ms (2.5% of total)

exact: 1.0ms (0.8% of total)

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

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

series51.0ms (0.5%)

Memory

8.9MiB live, 81.0MiB allocated

Counts

19 → 564

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

Calls

141 calls:

Time	Variable		Point	Expression
5.0ms	a	@	inf	(sqrt (/ 1 (- (* b_2 b_2) (* a c))))
3.0ms	b_2	@	-inf	(* b_2 (/ -2 a))
3.0ms	a	@	-inf	(sqrt (/ 1 (- (* b_2 b_2) (* a c))))
2.0ms	a	@	-inf	(* b_2 (/ -2 a))
1.0ms	b_2	@	0	(sqrt (/ 1 (- (* b_2 b_2) (* a c))))

rewrite448.0ms (4.3%)

Memory

32.4MiB live, 955.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 034×	`/-lowering-/.f32`
5 034×	`/-lowering-/.f64`
3 732×	`-lowering-.f32`
3 732×	`-lowering-.f64`
3 358×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	160
1	182	152
2	1624	152
0	8587	151

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 2 061

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

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

simplify468.0ms (4.5%)

Memory

-34.8MiB live, 899.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 452×	`accelerator-lowering-fma.f32`
8 452×	`accelerator-lowering-fma.f64`
6 190×	`-lowering-.f32`
6 190×	`-lowering-.f64`
5 888×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1142	11725
1	3713	11555
0	8363	11050

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

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

eval754.0ms (7.3%)

Memory: -66.3MiB live, 698.9MiB allocated
Compiler: Compiled 86 902 to 5 635 computations (93.5% saved)

prune525.0ms (5.1%)

Memory

9.7MiB live, 481.8MiB allocated

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	3 013	10	3 023
Fresh	1	12	13
Picked	3	2	5
Done	0	1	1
Total	3 017	25	3 042

Accuracy

94.9%

Counts

3 042 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.1%	(fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)))
	21.2%	(fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (neg.f64 (exp.f64 (.f64 (log.f64 (/.f64 a (sqrt.f64 (fma.f64 c (neg.f64 a) (.f64 b_2 b_2))))) #s(literal -1 binary64)))))
✓	34.8%	(fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
▶	23.7%	(/.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))))))
	31.5%	(/.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))
	30.0%	(/.f64 (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) b_2) a)
▶	24.9%	(/.f64 (-.f64 (.f64 b_2 a) (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (*.f64 a a))
	46.3%	(/.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)
	20.9%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (/.f64 (.f64 b_2 b_2) (.f64 a (*.f64 c c))) (/.f64 #s(literal 1 binary64) c)) (neg.f64 a))))) a)
	27.9%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2))))) a)
	34.1%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 a c))))) a)
✓	54.6%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
▶	37.1%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
▶	49.7%	(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (neg.f64 a) (.f64 b_2 b_2)))))) a)
	35.1%	(/.f64 (-.f64 (neg.f64 b_2) b_2) a)
	35.5%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
▶	12.0%	(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
	35.1%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
	35.0%	(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
	35.1%	(/.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)))
	23.6%	(.f64 (fma.f64 b_2 b_2 (fma.f64 a c (.f64 b_2 b_2))) (/.f64 #s(literal 1 binary64) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))))
	27.2%	(.f64 (/.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 a c (.f64 b_2 b_2))) a) (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)))))
✓	54.6%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
	37.1%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))
	24.9%	(.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)))

Compiler

Compiled 852 to 522 computations (38.7% saved)

simplify321.0ms (3.1%)

Memory

-17.0MiB live, 237.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 b_2 b_2)
✓	cost-diff	0	(fma.f64 a c (*.f64 b_2 b_2))
✓	cost-diff	0	(/.f64 (fma.f64 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))))))
✓	cost-diff	192	(fma.f64 b_2 b_2 (fma.f64 a c (*.f64 b_2 b_2)))
✓	cost-diff	0	(.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))
✓	cost-diff	0	(*.f64 b_2 a)
✓	cost-diff	320	(-.f64 (.f64 b_2 a) (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
✓	cost-diff	640	(/.f64 (-.f64 (.f64 b_2 a) (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (*.f64 a a))
✓	cost-diff	0	(sqrt.f64 (*.f64 c (neg.f64 a)))
✓	cost-diff	0	(neg.f64 b_2)
✓	cost-diff	0	(-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a))))
✓	cost-diff	0	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) 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	(neg.f64 b_2)
✓	cost-diff	0	(-.f64 (neg.f64 b_2) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (neg.f64 a) (.f64 b_2 b_2))))))
✓	cost-diff	0	(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (neg.f64 a) (.f64 b_2 b_2)))))) a)
✓	cost-diff	12480	(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (neg.f64 a) (.f64 b_2 b_2)))))

Rules

4 404×	`accelerator-lowering-fma.f32`
4 404×	`accelerator-lowering-fma.f64`
3 622×	`-lowering-.f32`
3 622×	`-lowering-.f64`
2 570×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	288
1	82	274
2	161	263
3	361	261
4	640	261
5	1479	261
6	4447	261
0	8112	258

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize231.0ms (2.2%)

Memory

0.3MiB live, 275.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
✓	accuracy	88.0%	(+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	accuracy	82.0%	(/.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))))))
✓	accuracy	73.9%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	accuracy	99.9%	(.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))))
✓	accuracy	91.0%	(-.f64 (.f64 b_2 a) (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))
✓	accuracy	73.9%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	accuracy	69.6%	(/.f64 (-.f64 (.f64 b_2 a) (.f64 a (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))) (*.f64 a a))
✓	accuracy	100.0%	(neg.f64 a)
✓	accuracy	100.0%	(-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a))))
✓	accuracy	99.8%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
✓	accuracy	86.2%	(sqrt.f64 (*.f64 c (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 (neg.f64 b_2) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (neg.f64 a) (.f64 b_2 b_2)))))) a)
✓	accuracy	94.3%	(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (neg.f64 a) (.f64 b_2 b_2)))))
✓	accuracy	88.0%	(-.f64 (neg.f64 b_2) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (neg.f64 a) (.f64 b_2 b_2))))))
✓	accuracy	73.2%	(log.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)))

Samples

41.0ms	87×	0	valid
36.0ms	45×	2	valid
35.0ms	79×	0	invalid
32.0ms	9×	4	valid
10.0ms	23×	1	valid
10.0ms	12×	3	valid
3.0ms	1×	5	exit

Compiler

Compiled 279 to 34 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-div: 43.0ms (34.7% of total)

ival-mult: 18.0ms (14.5% of total)

adjust: 16.0ms (12.9% of total)

ival-log: 14.0ms (11.3% of total)

ival-exp: 10.0ms (8.1% of total)

ival-sub: 7.0ms (5.6% of total)

ival-add: 7.0ms (5.6% of total)

ival-sqrt: 5.0ms (4% of total)

ival-neg: 3.0ms (2.4% of total)

exact: 0.0ms (0% of total)

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

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

series85.0ms (0.8%)

Memory

4.5MiB live, 122.9MiB allocated

Counts

22 → 660

Calls

Call 1

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

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

Calls

165 calls:

Time	Variable		Point	Expression
13.0ms	a	@	inf	(/ (- (neg b_2) (sqrt (* c (neg a)))) a)
11.0ms	c	@	-inf	(log (+ (* c (neg a)) (* b_2 b_2)))
4.0ms	c	@	-inf	(exp (* 1/2 (log (+ (* c (neg a)) (* b_2 b_2)))))
4.0ms	b_2	@	inf	(log (+ (* c (neg a)) (* b_2 b_2)))
2.0ms	c	@	inf	(/ (+ (* b_2 b_2) (+ (* a c) (* b_2 b_2))) (* a (+ b_2 (sqrt (- (* b_2 b_2) (* a c))))))

rewrite417.0ms (4%)

Memory

2.4MiB live, 878.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 118×	`accelerator-lowering-fma.f32`
6 118×	`accelerator-lowering-fma.f64`
4 180×	`/-lowering-/.f32`
4 180×	`/-lowering-/.f64`
3 984×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	207
1	208	191
2	1845	191
0	8375	166

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 894

Calls

Call 1

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

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

simplify526.0ms (5.1%)

Memory

12.9MiB live, 1 041.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 256×	`accelerator-lowering-fma.f32`
9 256×	`accelerator-lowering-fma.f64`
6 202×	`-lowering-.f32`
6 202×	`-lowering-.f64`
5 790×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1503	13499
1	4958	13160
0	8762	12593

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 660

Calls

Call 1

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

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

eval283.0ms (2.7%)

Memory: -1.2MiB live, 585.8MiB allocated
Compiler: Compiled 57 013 to 5 331 computations (90.6% saved)

prune234.0ms (2.3%)

Memory

-9.2MiB live, 434.9MiB allocated

Pruning

25 alts after pruning (21 fresh and 4 done)

	Pruned	Kept	Total
New	1 785	13	1 798
Fresh	9	8	17
Picked	4	1	5
Done	0	3	3
Total	1 798	25	1 823

Accuracy

100.0%

Counts

1 823 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	34.8%	(fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
	22.6%	(/.f64 (fma.f64 (sqrt.f64 c) (neg.f64 (sqrt.f64 (neg.f64 a))) (neg.f64 b_2)) a)
▶	31.5%	(/.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))
	30.0%	(/.f64 (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) b_2) a)
	34.1%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 a c))))) a)
	17.9%	(/.f64 (-.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a))) a)
✓	54.6%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	28.2%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (/.f64 (neg.f64 (.f64 a a)) (+.f64 #s(literal 0 binary64) a))))) a)
✓	37.1%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	35.1%	(/.f64 (-.f64 (neg.f64 b_2) b_2) a)
	35.9%	(/.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (/.f64 #s(literal 1 binary64) a)) (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))))
	2.3%	(/.f64 (.f64 (neg.f64 b_2) (-.f64 (neg.f64 a) a)) (.f64 a a))
	35.5%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
	31.7%	(/.f64 (.f64 a c) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
	16.1%	(/.f64 (neg.f64 b_2) a)
▶	2.6%	(/.f64 b_2 a)
	37.1%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))))
	35.0%	(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
▶	12.0%	(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 b_2 c)))
	35.1%	(/.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)))
▶	37.1%	(-.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a))
✓	54.6%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))))
▶	37.1%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))
	5.4%	(.f64 (neg.f64 b_2) (/.f64 (-.f64 (neg.f64 a) a) (.f64 a a)))
	12.0%	(*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))

Compiler

Compiled 631 to 431 computations (31.7% saved)

simplify233.0ms (2.2%)

Memory

26.2MiB live, 218.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

4 360×	`accelerator-lowering-fma.f32`
4 360×	`accelerator-lowering-fma.f64`
3 318×	`-lowering-.f32`
3 318×	`-lowering-.f64`
1 352×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	161
1	75	161
2	181	153
3	381	153
4	792	152
5	1973	152
6	3686	152
7	5429	152
8	6585	152
9	7503	152
10	7871	152
0	8291	150

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize106.0ms (1%)

Memory

-23.9MiB live, 149.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(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)))
✓	accuracy	99.8%	(.f64 c (.f64 c a))
✓	accuracy	98.8%	(/.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))
✓	accuracy	82.7%	(/.f64 (.f64 c (.f64 c a)) (*.f64 b_2 b_2))
✓	accuracy	100.0%	(neg.f64 c)
✓	accuracy	100.0%	(+.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
✓	accuracy	99.8%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))
✓	accuracy	86.2%	(sqrt.f64 (*.f64 a (neg.f64 c)))
✓	accuracy	100.0%	(/.f64 b_2 c)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (/.f64 b_2 c))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 b_2 c)))
✓	accuracy	100.0%	(/.f64 b_2 a)
✓	accuracy	100.0%	(neg.f64 b_2)
✓	accuracy	100.0%	(-.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a))
✓	accuracy	99.7%	(/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a)
✓	accuracy	86.2%	(sqrt.f64 (*.f64 a (neg.f64 c)))

Samples

55.0ms	177×	0	valid
16.0ms	79×	0	invalid

Compiler

Compiled 162 to 32 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 27.0ms (55.3% of total)

ival-div: 13.0ms (26.6% of total)

ival-add: 2.0ms (4.1% of total)

ival-sqrt: 2.0ms (4.1% of total)

ival-neg: 2.0ms (4.1% of total)

ival-sub: 1.0ms (2% of total)

exact: 1.0ms (2% of total)

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

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

series34.0ms (0.3%)

Memory

10.6MiB live, 46.4MiB allocated

Counts

17 → 444

Calls

Call 1

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

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

Calls

111 calls:

Time	Variable		Point	Expression
10.0ms	b_2	@	0	(+ (* 1/8 (/ (* c (* c a)) (* b_2 b_2))) (* c 1/2))
3.0ms	a	@	-inf	(/ (+ (* 1/8 (/ (* c (* c a)) (* b_2 b_2))) (* c 1/2)) (neg b_2))
1.0ms	c	@	0	(- (/ (neg b_2) a) (/ (sqrt (* a (neg c))) a))
1.0ms	a	@	0	(+ (* 1/8 (/ (* c (* c a)) (* b_2 b_2))) (* c 1/2))
1.0ms	b_2	@	0	(- (/ (neg b_2) a) (/ (sqrt (* a (neg c))) a))

rewrite330.0ms (3.2%)

Memory

-2.2MiB live, 427.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 236×	`/-lowering-/.f32`
5 236×	`/-lowering-/.f64`
4 930×	`-lowering-.f32`
4 930×	`-lowering-.f64`
3 254×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	113
1	168	113
2	1409	113
0	8505	111

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 967

Calls

Call 1

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

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

simplify302.0ms (2.9%)

Memory

11.0MiB live, 462.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 102×	`accelerator-lowering-fma.f32`
8 102×	`accelerator-lowering-fma.f64`
5 270×	`-lowering-.f32`
5 270×	`-lowering-.f64`
1 748×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	155	3550
1	468	3532
2	1361	3517
3	4186	3448
4	7206	3448
0	8102	3325

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

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

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

eval165.0ms (1.6%)

Memory: 11.4MiB live, 227.9MiB allocated
Compiler: Compiled 30 089 to 2 343 computations (92.2% saved)

prune146.0ms (1.4%)

Memory

-4.0MiB live, 248.9MiB allocated

Pruning

28 alts after pruning (21 fresh and 7 done)

	Pruned	Kept	Total
New	1 508	7	1 515
Fresh	2	14	16
Picked	2	3	5
Done	0	4	4
Total	1 512	28	1 540

Accuracy

100.0%

Counts

1 540 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	34.8%	(fma.f64 c (/.f64 #s(literal 1/2 binary64) b_2) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)))
	22.6%	(/.f64 (fma.f64 (sqrt.f64 c) (neg.f64 (sqrt.f64 (neg.f64 a))) (neg.f64 b_2)) a)
	30.0%	(/.f64 (/.f64 (.f64 (.f64 a c) #s(literal -1/2 binary64)) b_2) a)
	34.1%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 a c))))) a)
	17.9%	(/.f64 (-.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a))) a)
✓	54.6%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	28.2%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (/.f64 (neg.f64 (.f64 a a)) (+.f64 #s(literal 0 binary64) a))))) a)
✓	37.1%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	35.1%	(/.f64 (-.f64 (neg.f64 b_2) b_2) a)
	35.9%	(/.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (/.f64 #s(literal 1 binary64) a)) (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))))
	2.3%	(/.f64 (.f64 (neg.f64 b_2) (-.f64 (neg.f64 a) a)) (.f64 a a))
	35.2%	(/.f64 (.f64 c (fma.f64 (.f64 a #s(literal 1/8 binary64)) (/.f64 c (*.f64 b_2 b_2)) #s(literal 1/2 binary64))) (neg.f64 b_2))
	35.5%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
	31.7%	(/.f64 (.f64 a c) (.f64 a (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))
	16.1%	(/.f64 (neg.f64 b_2) a)
✓	2.6%	(/.f64 b_2 a)
	37.1%	(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) (+.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))
	35.0%	(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
	12.0%	(/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c))
	35.1%	(/.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)))
✓	37.1%	(-.f64 (/.f64 (neg.f64 b_2) a) (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a))
	16.6%	(-.f64 (/.f64 (neg.f64 b_2) a) (*.f64 (sqrt.f64 a) (/.f64 (sqrt.f64 (neg.f64 c)) a)))
	35.2%	(.f64 (/.f64 c b_2) (fma.f64 (/.f64 c (.f64 b_2 b_2)) (*.f64 a #s(literal -1/8 binary64)) #s(literal -1/2 binary64)))
	12.0%	(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
	17.9%	(*.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) 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)))))
✓	37.1%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))
	5.4%	(.f64 (neg.f64 b_2) (/.f64 (-.f64 (neg.f64 a) a) (.f64 a a)))

Compiler

Compiled 1 032 to 451 computations (56.3% saved)

regimes61.0ms (0.6%)

Memory

-1.3MiB live, 75.3MiB allocated

Counts

49 → 3

Calls

Call 1

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

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

Calls

4 calls:

16.0ms	c
15.0ms	a
14.0ms	b_2
13.0ms	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
56.4%	2	`a`
89.2%	3	`b_2`
59.0%	3	`c`
77.1%	5	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes12.0ms (0.1%)

Memory

16.7MiB live, 16.7MiB allocated

Counts

35 → 3

Calls

Call 1

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

Calls

1 calls:

10.0ms

b_2

Results

Accuracy	Segments	Branch
89.1%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory

-29.2MiB live, 9.6MiB allocated

Counts

17 → 3

Calls

Call 1

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

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
84.0%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

15 → 3

Calls

Call 1

Inputs
(/.f64 b_2 a)
(/.f64 (neg.f64 b_2) a)
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (-.f64 (neg.f64 b_2) b_2) a)
(/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 b_2 c)))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
(.f64 (neg.f64 b_2) (/.f64 (-.f64 (neg.f64 a) a) (.f64 a a)))
(/.f64 (.f64 (neg.f64 b_2) (-.f64 (neg.f64 a) a)) (.f64 a a))
(/.f64 (/.f64 (.f64 (.f64 a 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
84.0%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

14 → 2

Calls

Call 1

Inputs
(/.f64 b_2 a)
(/.f64 (neg.f64 b_2) a)
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(*.f64 c (/.f64 #s(literal 1/2 binary64) b_2))
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
(/.f64 (*.f64 #s(literal 1/2 binary64) c) b_2)
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(/.f64 (-.f64 (neg.f64 b_2) b_2) a)
(/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 b_2 c)))
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
(.f64 (neg.f64 b_2) (/.f64 (-.f64 (neg.f64 a) a) (.f64 a a)))
(/.f64 (.f64 (neg.f64 b_2) (-.f64 (neg.f64 a) a)) (.f64 a a))
(/.f64 (/.f64 (.f64 (.f64 a 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	b_2
4.0ms	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
52.1%	4	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
68.0%	2	`b_2`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes3.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

7 → 2

Calls

Call 1

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

3.0ms

b_2

Results

Accuracy	Segments	Branch
68.0%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes13.0ms (0.1%)

Memory

-23.2MiB live, 17.6MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	a
3.0ms	c
3.0ms	b_2
2.0ms	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
35.0%	1	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
35.0%	1	`a`
35.0%	1	`c`
44.1%	2	`b_2`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes4.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	a
2.0ms	b_2

Results

Accuracy	Segments	Branch
35.0%	1	`a`
35.0%	1	`b_2`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 b_2 a)
(/.f64 (neg.f64 b_2) a)

Outputs
(/.f64 (neg.f64 b_2) a)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
16.1%	1	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
16.1%	1	`b_2`
16.1%	1	`c`
16.1%	1	`a`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes5.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 b_2 a)

Outputs
(/.f64 b_2 a)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
2.6%	1	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
2.6%	1	`b_2`
2.6%	1	`c`
2.6%	1	`a`

Compiler

Compiled 28 to 19 computations (32.1% saved)

bsearch29.0ms (0.3%)

Memory

0.6MiB live, 39.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.9969090289500013e+97	1.4619119943733372e+98
16.0ms	-2.5976134253187822e-52	-2.1814111472717956e-53

Samples

10.0ms	145×	0	valid
4.0ms	31×	1	valid
3.0ms	15×	2	valid
1.0ms	21×	0	invalid
0.0ms	1×	3	valid

Compiler

Compiled 373 to 256 computations (31.4% saved)

Precisions

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

ival-mult: 3.0ms (26% of total)

ival-div: 2.0ms (17.3% of total)

ival-sub: 2.0ms (17.3% of total)

ival-sqrt: 2.0ms (17.3% of total)

adjust: 1.0ms (8.7% of total)

ival-neg: 1.0ms (8.7% of total)

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

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

bsearch43.0ms (0.4%)

Memory

-18.4MiB live, 19.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.9969090289500013e+97	1.4619119943733372e+98
31.0ms	-2.5976134253187822e-52	-2.1814111472717956e-53

Samples

18.0ms	14×	2	valid
9.0ms	140×	0	valid
5.0ms	37×	1	valid
1.0ms	19×	0	invalid
0.0ms	1×	3	valid

Compiler

Compiled 337 to 232 computations (31.2% saved)

Precisions

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

ival-sub: 18.0ms (64.9% of total)

ival-mult: 3.0ms (10.8% of total)

ival-div: 2.0ms (7.2% of total)

ival-sqrt: 2.0ms (7.2% of total)

adjust: 1.0ms (3.6% of total)

ival-neg: 1.0ms (3.6% of total)

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

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

bsearch37.0ms (0.4%)

Memory

-8.3MiB live, 29.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

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

Samples

13.0ms	176×	0	valid
4.0ms	67×	0	invalid
4.0ms	35×	1	valid
2.0ms	13×	2	valid

Compiler

Compiled 381 to 278 computations (27% saved)

Precisions

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

ival-mult: 4.0ms (27.8% of total)

ival-sub: 3.0ms (20.8% of total)

ival-div: 2.0ms (13.9% of total)

ival-neg: 2.0ms (13.9% of total)

ival-sqrt: 2.0ms (13.9% of total)

adjust: 1.0ms (6.9% of total)

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

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

bsearch38.0ms (0.4%)

Memory

2.3MiB live, 42.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	4.1312533325749885e-170	2.6281786846396366e-166
15.0ms	-2.5976134253187822e-52	-2.1814111472717956e-53

Samples

14.0ms	176×	0	valid
5.0ms	67×	0	invalid
4.0ms	33×	1	valid
2.0ms	12×	2	valid
1.0ms	3×	3	valid

Compiler

Compiled 349 to 254 computations (27.2% saved)

Precisions

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

ival-neg: 5.0ms (28.2% of total)

ival-mult: 4.0ms (22.5% of total)

ival-sub: 3.0ms (16.9% of total)

ival-div: 2.0ms (11.3% of total)

ival-sqrt: 2.0ms (11.3% of total)

adjust: 1.0ms (5.6% of total)

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

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

bsearch19.0ms (0.2%)

Memory

24.6MiB live, 24.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-1.2059707261551481e-269	-6.469260765004278e-274

Samples

8.0ms	128×	0	valid
3.0ms	48×	0	invalid

Compiler

Compiled 171 to 128 computations (25.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 2.0ms (28.2% of total)

ival-sub: 1.0ms (14.1% of total)

ival-div: 1.0ms (14.1% of total)

ival-sqrt: 1.0ms (14.1% of total)

ival-neg: 1.0ms (14.1% of total)

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

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

bsearch21.0ms (0.2%)

Memory

-10.6MiB live, 25.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-1.2059707261551481e-269	-6.469260765004278e-274

Samples

11.0ms	127×	0	valid
3.0ms	45×	0	invalid
0.0ms	1×	1	valid

Compiler

Compiled 163 to 128 computations (21.5% saved)

Precisions

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

ival-mult: 5.0ms (52.2% of total)

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

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

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

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

adjust: 0.0ms (0% of total)

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

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

bsearch31.0ms (0.3%)

Memory

7.6MiB live, 46.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	-3.7472386477902134e+22	-73345396.5667702

Samples

9.0ms	64×	1	valid
7.0ms	40×	2	valid
4.0ms	53×	0	valid
1.0ms	15×	0	invalid
1.0ms	3×	3	valid

Compiler

Compiled 199 to 156 computations (21.6% saved)

Precisions

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

ival-mult: 4.0ms (25.6% of total)

ival-sub: 3.0ms (19.2% of total)

ival-neg: 3.0ms (19.2% of total)

ival-div: 2.0ms (12.8% of total)

ival-sqrt: 2.0ms (12.8% of total)

adjust: 1.0ms (6.4% of total)

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

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

simplify15.0ms (0.1%)

Memory

-18.4MiB live, 19.9MiB allocated

Algorithm

1×	egg-herbie

Rules

38×	`*-commutative_binary64`
38×	`+-commutative_binary64`
36×	`sub-neg_binary64`
28×	`neg-sub0_binary64`
28×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	184
1	87	184
2	115	184
3	146	184
4	167	184
5	177	184
6	180	184

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -5607668906767333/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 35000000000000000678017994605705198571729199150278416529385073892876155780834609321528662775824384 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))) (/.f64 (-.f64 (neg.f64 b_2) b_2) a)))
(if (<=.f64 b_2 #s(literal -4097911893406897/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 94999999999999997504020065211626005678037498533972428252958506253566705753755524991237876629897216 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) a) (/.f64 (-.f64 (neg.f64 b_2) b_2) a)))
(if (<=.f64 b_2 #s(literal -5176309760092923/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 8630992383272465/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008 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 -5607668906767333/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 8630992383272465/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008 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 -6821719807979999/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976 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 -6334454107409999/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976 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 -11000000000000000000 binary64)) (.f64 c (/.f64 #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))
(/.f64 (neg.f64 b_2) a)
(/.f64 b_2 a)

Outputs
(if (<=.f64 b_2 #s(literal -5607668906767333/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 35000000000000000678017994605705198571729199150278416529385073892876155780834609321528662775824384 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))) (/.f64 (-.f64 (neg.f64 b_2) b_2) a)))
(if (<=.f64 b_2 #s(literal -5607668906767333/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 35000000000000000678017994605705198571729199150278416529385073892876155780834609321528662775824384 binary64)) (fma.f64 (/.f64 b_2 a) #s(literal -1 binary64) (/.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a))) (neg.f64 a))) (neg.f64 (/.f64 (+.f64 b_2 b_2) a))))
(if (<=.f64 b_2 #s(literal -4097911893406897/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 94999999999999997504020065211626005678037498533972428252958506253566705753755524991237876629897216 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) a) (/.f64 (-.f64 (neg.f64 b_2) b_2) a)))
(if (<=.f64 b_2 #s(literal -4097911893406897/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 94999999999999997504020065211626005678037498533972428252958506253566705753755524991237876629897216 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 c a)))) a) (neg.f64 (/.f64 (+.f64 b_2 b_2) a))))
(if (<=.f64 b_2 #s(literal -5176309760092923/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 8630992383272465/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008 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 -5607668906767333/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 8630992383272465/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008 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 -5607668906767333/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) (if (<=.f64 b_2 #s(literal 8630992383272465/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) a) (neg.f64 (/.f64 (+.f64 b_2 b_2) a))))
(if (<=.f64 b_2 #s(literal -6821719807979999/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976 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 -6821719807979999/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976 binary64)) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (neg.f64 (/.f64 (+.f64 b_2 b_2) a)))
(if (<=.f64 b_2 #s(literal -6334454107409999/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976 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 -11000000000000000000 binary64)) (.f64 c (/.f64 #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))
(/.f64 (neg.f64 b_2) a)
(neg.f64 (/.f64 b_2 a))
(/.f64 b_2 a)

soundness847.0ms (8.2%)

Memory

34.2MiB live, 660.1MiB allocated

Rules

9 256×	`accelerator-lowering-fma.f32`
9 256×	`accelerator-lowering-fma.f64`
8 494×	`accelerator-lowering-fma.f32`
8 494×	`accelerator-lowering-fma.f64`
8 452×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1142	11725
1	3713	11555
0	8363	11050
0	1503	13499
1	4958	13160
0	8762	12593
0	528	3105
1	1657	3067
2	5513	3045
0	8289	2913
0	10	41
1	61	41
2	496	38
3	6592	38
0	8415	38
0	32	207
1	208	191
2	1845	191
0	8375	166

Stop Event

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

Compiler

Compiled 389 to 206 computations (47% saved)

preprocess165.0ms (1.6%)

Memory: 9.9MiB live, 173.8MiB allocated
Compiler: Compiled 590 to 196 computations (66.8% 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

analyze124.0ms (1.2%)

sample1.6s (15.7%)

preprocess142.0ms (1.4%)

explain171.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify40.0ms (0.4%)

localize56.0ms (0.5%)

series23.0ms (0.2%)

rewrite301.0ms (2.9%)

simplify378.0ms (3.6%)

eval80.0ms (0.8%)

prune93.0ms (0.9%)

simplify107.0ms (1%)

localize199.0ms (1.9%)

series51.0ms (0.5%)

rewrite448.0ms (4.3%)

simplify468.0ms (4.5%)

eval754.0ms (7.3%)

prune525.0ms (5.1%)

simplify321.0ms (3.1%)

localize231.0ms (2.2%)

series85.0ms (0.8%)

rewrite417.0ms (4%)

simplify526.0ms (5.1%)

eval283.0ms (2.7%)

prune234.0ms (2.3%)

simplify233.0ms (2.2%)

localize106.0ms (1%)

series34.0ms (0.3%)

rewrite330.0ms (3.2%)

simplify302.0ms (2.9%)

eval165.0ms (1.6%)

prune146.0ms (1.4%)

regimes61.0ms (0.6%)

regimes12.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes10.0ms (0.1%)

regimes3.0ms (0%)

regimes13.0ms (0.1%)

regimes4.0ms (0%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch29.0ms (0.3%)

bsearch43.0ms (0.4%)

bsearch37.0ms (0.4%)

bsearch38.0ms (0.4%)

bsearch19.0ms (0.2%)

bsearch21.0ms (0.2%)

bsearch31.0ms (0.3%)

simplify15.0ms (0.1%)

soundness847.0ms (8.2%)

preprocess165.0ms (1.6%)

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