Metrics for quad2p (problem 3.2.1, positive)

analyze138.0ms (1.7%)

Memory

7.0MiB live, 124.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 12 computations (20% saved)

sample1.5s (17.7%)

Memory

-40.9MiB live, 1 613.3MiB allocated

Samples

466.0ms	5 502×	0	valid
238.0ms	1 241×	2	valid
202.0ms	1 335×	1	valid
102.0ms	178×	3	valid
73.0ms	1 086×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 730.0ms

ival-mult: 155.0ms (21.2% of total)

ival-sub: 121.0ms (16.6% of total)

ival-div: 118.0ms (16.2% of total)

ival-sqrt: 114.0ms (15.6% of total)

adjust: 74.0ms (10.1% of total)

ival-neg: 72.0ms (9.9% of total)

ival-add: 67.0ms (9.2% of total)

ival-true: 7.0ms (1% of total)

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

Bogosity

preprocess126.0ms (1.5%)

Memory

21.6MiB live, 60.4MiB allocated

Algorithm

1×	egg-herbie

Rules

986×	`div-sub`
756×	`times-frac`
416×	`lower-fma.f64`
416×	`lower-fma.f32`
416×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	118
1	114	111
2	245	109
3	674	109
4	1757	109
5	3192	109
6	3780	109
7	3870	109
8	3962	109
9	3994	109
10	3994	109
0	10	13
0	17	13
1	28	12
2	45	12
3	74	12
4	113	12
5	189	12
6	319	12
7	464	12
8	807	12
9	920	12
10	952	12
11	963	12
12	964	12
0	964	12

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

explain170.0ms (2.1%)

Memory

0.9MiB live, 156.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
117	-	1	(8.23922803086917e-175 1.5171494168761902e-157 -2.329290452414055e-244)	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
51	-	0	-	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
19	-	1	(-7.963508720843157e-292 2.563413214460843e+43 1.3584531380345406e+25)	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
3	-	0	-	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`
0	-	0	-	`(*.f64 b_2 b_2)`
0	-	0	-	`a`
0	-	0	-	`(neg.f64 b_2)`
0	-	0	-	`b_2`
0	-	0	-	`(*.f64 a c)`
0	-	0	-	`c`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	oflow-rescue	112	0
↳	`(*.f64 b_2 b_2)`	overflow	100
↳	`(*.f64 a c)`	overflow	18
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	overflow	112
`+.f64`	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	cancellation	51	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`	u/n	18	0
↳	`(*.f64 b_2 b_2)`	underflow	37
↳	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	underflow	32
↳	`(*.f64 a c)`	underflow	40
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	4
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	uflow-rescue	4	0
↳	`(*.f64 b_2 b_2)`	underflow	37
↳	`(*.f64 a c)`	underflow	40
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	4
`-.f64`	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	nan-rescue	3	0
↳	`(*.f64 b_2 b_2)`	overflow	100
↳	`(*.f64 a c)`	overflow	18

Confusion

	Predicted +	Predicted -
+	130	0
-	22	104

Precision

0.8552631578947368

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	130	0	0
-	22	0	104

Precision?

0.8552631578947368

Recall?

1.0

Freqs

test

number	freq
0	104
1	116
2	36

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms	348×	0	valid
16.0ms	82×	2	valid
9.0ms	68×	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: 37.0ms

ival-div: 9.0ms (24.2% of total)

ival-mult: 8.0ms (21.5% of total)

ival-sqrt: 6.0ms (16.1% of total)

ival-sub: 4.0ms (10.7% of total)

adjust: 4.0ms (10.7% of total)

ival-add: 4.0ms (10.7% of total)

ival-neg: 2.0ms (5.4% 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

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.1%	(/.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)

simplify53.0ms (0.6%)

Memory

-5.8MiB live, 28.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

416×	`lower-fma.f64`
416×	`lower-fma.f32`
264×	`lower-*.f32`
260×	`lower-*.f64`
142×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	50
0	17	50
1	28	48
2	45	48
3	74	48
4	113	48
5	189	48
6	319	48
7	464	48
8	807	48
9	920	48
10	952	48
11	963	48
12	964	48
0	964	48

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize74.0ms (0.9%)

Memory

-4.4MiB live, 80.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	93.2%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	accuracy	81.6%	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	accuracy	57.6%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Samples

46.0ms	174×	0	valid
10.0ms	41×	2	valid
5.0ms	34×	1	valid
2.0ms	7×	3	valid

Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions

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

ival-mult: 4.0ms (23.7% of total)

ival-div: 3.0ms (17.8% of total)

ival-sqrt: 3.0ms (17.8% of total)

ival-sub: 2.0ms (11.9% of total)

adjust: 2.0ms (11.9% of total)

ival-add: 2.0ms (11.9% of total)

ival-neg: 1.0ms (5.9% of total)

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

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

series22.0ms (0.3%)

Memory

9.3MiB live, 45.9MiB allocated

Counts

5 → 156

Calls

Call 1

Inputs
#<alt (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))>
#<alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)>
#<alt (neg.f64 b_2)>
#<alt (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))>
#<alt (-.f64 (.f64 b_2 b_2) (.f64 a c))>

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

Calls

39 calls:

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

rewrite247.0ms (3%)

Memory

-17.1MiB live, 379.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 984×	`lower-fma.f64`
3 984×	`lower-fma.f32`
2 962×	`lower-*.f32`
2 958×	`lower-*.f64`
1 432×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
0	17	41
1	64	39
2	463	38
3	5888	38
0	8611	34

Stop Event

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

Counts

5 → 449

Calls

Call 1

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

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

simplify379.0ms (4.6%)

Memory

20.8MiB live, 629.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 022×	`lower-fma.f64`
11 022×	`lower-fma.f32`
7 132×	`lower-*.f64`
7 132×	`lower-*.f32`
3 498×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 153

Calls

Call 1

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

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

eval76.0ms (0.9%)

Memory: -7.4MiB live, 176.7MiB allocated
Compiler: Compiled 18 587 to 2 098 computations (88.7% saved)

prune109.0ms (1.3%)

Memory

11.1MiB live, 241.8MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	590	12	602
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	590	13	603

Accuracy

94.0%

Counts

603 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.5%	(/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) a) (.f64 b_2 b_2))) b_2)
	24.9%	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
	19.2%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 (.f64 b_2 b_2)) (/.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (fma.f64 b_2 b_2 (*.f64 a c))))))) a)
	10.7%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))) (fma.f64 b_2 b_2 (.f64 a c))) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (.f64 a (.f64 a (.f64 c c))))) (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c)))))) a)
▶	22.9%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))) a)
✓	51.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	6.2%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (fma.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))) (.f64 (.f64 a (.f64 a c)) (.f64 a (.f64 c c)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a (.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))))))) a)
	37.7%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 b_2 (fma.f64 b_2 (neg.f64 (/.f64 (.f64 a c) (*.f64 b_2 b_2))) b_2)))) a)
▶	29.5%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
▶	32.6%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
	40.8%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
▶	34.2%	(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
▶	40.8%	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))

Compiler

Compiled 542 to 298 computations (45% saved)

simplify138.0ms (1.7%)

Memory

-0.4MiB live, 134.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 b_2)
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))) a)
✓	cost-diff	128	(+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))))
✓	cost-diff	1280	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))
✓	cost-diff	0	(sqrt.f64 (*.f64 a (neg.f64 c)))
✓	cost-diff	0	(neg.f64 b_2)
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
✓	cost-diff	128	(+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))
✓	cost-diff	0	(neg.f64 b_2)
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
✓	cost-diff	128	(+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2)))
✓	cost-diff	832	(sqrt.f64 (*.f64 b_2 b_2))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) b_2)
✓	cost-diff	0	(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
✓	cost-diff	0	(/.f64 b_2 a)
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))

Rules

1 120×	`lower-fma.f32`
1 118×	`lower-fma.f64`
776×	`lower-*.f32`
766×	`lower-*.f64`
542×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	158
0	49	144
1	71	134
2	110	134
3	176	134
4	267	134
5	425	134
6	781	134
7	1383	134
8	2415	134
9	2618	134
10	2749	134
11	2829	134
12	2848	134
13	2860	134
14	2900	134
15	3152	134
16	3152	134
0	3152	134

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize85.0ms (1%)

Memory

7.0MiB live, 205.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))
✓	accuracy	99.9%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))) a)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))
✓	accuracy	94.1%	(sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))
✓	accuracy	100.0%	(neg.f64 b_2)
✓	accuracy	100.0%	(+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))
✓	accuracy	99.9%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
✓	accuracy	94.1%	(sqrt.f64 (*.f64 a (neg.f64 c)))
✓	accuracy	100.0%	(+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2)))
✓	accuracy	100.0%	(*.f64 b_2 b_2)
✓	accuracy	100.0%	(neg.f64 b_2)
✓	accuracy	86.4%	(sqrt.f64 (*.f64 b_2 b_2))
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) b_2)
✓	accuracy	99.9%	(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
✓	accuracy	100.0%	(/.f64 b_2 a)
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))

Samples

37.0ms	182×	0	invalid
16.0ms	74×	0	valid

Compiler

Compiled 166 to 30 computations (81.9% saved)

Precisions

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

ival-div: 14.0ms (38.9% of total)

ival-mult: 11.0ms (30.6% of total)

ival-sqrt: 5.0ms (13.9% of total)

ival-add: 4.0ms (11.1% of total)

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

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

exact: 0.0ms (0% of total)

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

series75.0ms (0.9%)

Memory

-9.9MiB live, 66.7MiB allocated

Counts

17 → 432

Calls

Call 1

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

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

Calls

108 calls:

Time	Variable		Point	Expression
26.0ms	b_2	@	inf	(* c (/ -1/2 b_2))
15.0ms	a	@	inf	(/ 1 (+ (* b_2 b_2) (* a c)))
3.0ms	b_2	@	-inf	(* c (/ -1/2 b_2))
1.0ms	b_2	@	-inf	(/ (+ (neg b_2) (sqrt (* a (neg c)))) a)
1.0ms	b_2	@	inf	(+ (neg b_2) (sqrt (/ -1 (/ 1 (+ (* b_2 b_2) (* a c))))))

rewrite70.0ms (0.9%)

Memory

12.6MiB live, 131.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

754×	`lower-fma.f32`
752×	`lower-fma.f64`
578×	`lower-*.f32`
568×	`lower-*.f64`
528×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	123
0	49	109
1	171	96
0	1170	96

Stop Event

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

Counts

17 → 284

Calls

Call 1

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

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

simplify403.0ms (4.9%)

Memory

14.5MiB live, 572.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 972×	`lower-fma.f64`
8 972×	`lower-fma.f32`
6 136×	`lower-*.f64`
6 136×	`lower-*.f32`
3 552×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	650	5688
1	2065	5587
2	6946	5543
0	8124	5356

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 424

Calls

Call 1

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

eval109.0ms (1.3%)

Memory: 4.5MiB live, 154.8MiB allocated
Compiler: Compiled 11 904 to 1 523 computations (87.2% saved)

prune79.0ms (1%)

Memory

-29.6MiB live, 184.9MiB allocated

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	731	15	746
Fresh	6	1	7
Picked	3	2	5
Done	0	1	1
Total	740	19	759

Accuracy

96.8%

Counts

759 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.9%	(/.f64 (fma.f64 (pow.f64 (.f64 b_2 b_2) #s(literal 1/4 binary64)) (pow.f64 (.f64 b_2 b_2) #s(literal 1/4 binary64)) (neg.f64 b_2)) a)
	17.9%	(/.f64 (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) (neg.f64 b_2)) a)
	29.5%	(/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) a) (.f64 b_2 b_2))) b_2)
	31.4%	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a (neg.f64 c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))) a)
	29.6%	(/.f64 (-.f64 (.f64 b_2 b_2) (.f64 a (neg.f64 c))) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 a (neg.f64 c))))))
	32.6%	(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
✓	51.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	27.0%	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (.f64 b_2 b_2)) #s(literal 1/2 binary64)))) a)
▶	31.4%	(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a (neg.f64 c))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 a (neg.f64 c)))))) a)
	34.3%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
	16.7%	(/.f64 (neg.f64 b_2) a)
▶	34.0%	(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64))))
▶	32.5%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)))
	40.7%	(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
	32.5%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (.f64 a (neg.f64 c))) b_2))
▶	40.7%	(.f64 (.f64 #s(literal -2 binary64) b_2) (/.f64 #s(literal 1 binary64) a))
✓	34.2%	(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
✓	40.8%	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
▶	12.6%	#s(literal 0 binary64)

Compiler

Compiled 472 to 310 computations (34.3% saved)

simplify362.0ms (4.4%)

Memory

-1.7MiB live, 346.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))))
✓	cost-diff	192	(.f64 (-.f64 (.f64 b_2 b_2) (.f64 a (neg.f64 c))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 a (neg.f64 c))))))
✓	cost-diff	256	(-.f64 (.f64 b_2 b_2) (.f64 a (neg.f64 c)))
✓	cost-diff	384	(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a (neg.f64 c))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 a (neg.f64 c)))))) a)
✓	cost-diff	0	(sqrt.f64 (*.f64 a (neg.f64 c)))
✓	cost-diff	0	(-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)
✓	cost-diff	0	(/.f64 a (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)))
✓	cost-diff	0	(*.f64 c #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 b_2 (*.f64 c #s(literal -1/2 binary64)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) a)
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) b_2)
✓	cost-diff	320	(.f64 (.f64 #s(literal -2 binary64) b_2) (/.f64 #s(literal 1 binary64) a))

Rules

10 488×	`lower-fma.f64`
10 488×	`lower-fma.f32`
2 154×	`lower-*.f32`
2 142×	`lower-*.f64`
1 814×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	165
0	45	165
1	79	156
2	166	152
3	413	151
4	1274	149
5	4322	149
6	5836	149
7	6652	149
8	7060	149
9	7108	149
10	7137	149
0	8193	146

Stop Event

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

Calls

Call 1

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

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

localize80.0ms (1%)

Memory

29.5MiB live, 147.4MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) (.f64 a (neg.f64 c))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 a (neg.f64 c)))))) a)
✓	accuracy	98.9%	(-.f64 (.f64 b_2 b_2) (.f64 a (neg.f64 c)))
✓	accuracy	87.4%	(sqrt.f64 (*.f64 a (neg.f64 c)))
✓	accuracy	76.1%	(.f64 (-.f64 (.f64 b_2 b_2) (.f64 a (neg.f64 c))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 a (neg.f64 c))))))
✓	accuracy	100.0%	(-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)
✓	accuracy	99.9%	(/.f64 a (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)))
✓	accuracy	87.4%	(sqrt.f64 (*.f64 a (neg.f64 c)))
✓	accuracy	100.0%	(/.f64 b_2 (*.f64 c #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 c #s(literal -1/2 binary64))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) a)
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) b_2)
✓	accuracy	99.8%	(.f64 (.f64 #s(literal -2 binary64) b_2) (/.f64 #s(literal 1 binary64) a))

Samples

32.0ms	161×	0	valid
17.0ms	95×	0	invalid

Compiler

Compiled 167 to 28 computations (83.2% saved)

Precisions

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

ival-div: 14.0ms (43.9% of total)

ival-mult: 9.0ms (28.2% of total)

ival-sub: 3.0ms (9.4% of total)

ival-neg: 3.0ms (9.4% of total)

ival-sqrt: 2.0ms (6.3% of total)

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

exact: 0.0ms (0% of total)

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

series44.0ms (0.5%)

Memory

-17.6MiB live, 55.0MiB allocated

Counts

14 → 384

Calls

Call 1

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

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

Calls

96 calls:

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

rewrite338.0ms (4.1%)

Memory

-0.1MiB live, 525.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 506×	`lower-fma.f64`
7 506×	`lower-fma.f32`
5 216×	`lower-*.f32`
5 204×	`lower-*.f64`
2 382×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	118
0	44	94
1	163	87
2	1137	86
0	9853	85

Stop Event

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

Counts

14 → 1 667

Calls

Call 1

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

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

simplify369.0ms (4.5%)

Memory

33.2MiB live, 584.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 600×	`lower-fma.f64`
8 600×	`lower-fma.f32`
5 666×	`lower-*.f64`
5 666×	`lower-*.f32`
2 714×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	655	6269
1	2160	5570
2	7573	5570
0	8309	5390

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

Inputs
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 (/ b_2 a))
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(* -2 b_2)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 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))
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(* -1/2 c)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(* (sqrt (/ c a)) (sqrt -1))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ b_2 a))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* -1 (/ b_2 a))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2))
(/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2))
(/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2))
(/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2))))
(- (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))))
(- (+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ (pow b_2 3) (* a (* (pow c 2) (pow (sqrt -1) 4))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2))))))
(* -1 (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ b_2 c)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1))) (* -1 (/ (* a b_2) c))) a)))
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (/ (* a (pow b_2 3)) (pow c 2)) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) a)) (* -1 (/ (* a b_2) c))) a)))
(/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2))
(/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2))
(/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2))
(/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2))) c)
(/ (- (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) c)
(/ (- (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ (pow b_2 3) (* a (* c (pow (sqrt -1) 4))))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* -1 (/ b_2 (pow (sqrt -1) 2))))) c)
(* -1 (* (sqrt (/ a c)) (sqrt -1)))
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow b_2 3) c) a)) (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))) c)) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c))
(* (sqrt (/ a c)) (/ 1 (sqrt -1)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2))))
(+ (* b_2 (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ b_2 (pow (sqrt -1) 3))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(+ (* b_2 (+ (* b_2 (- (/ b_2 (* a (* (pow c 2) (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))
(* -1 (/ a b_2))
(/ (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))) b_2)
(/ (- (+ (* -1 a) (* -1 (/ (* (pow a 2) (* c (pow (sqrt -1) 2))) (pow b_2 2)))) (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2))) b_2)
(/ (- (+ (* -1 a) (* -1 (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -1) 3) (pow b_2 3))))) (+ (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)) (/ (* (pow a 2) (* c (pow (sqrt -1) 2))) (pow b_2 2)))) b_2)
(* -1 (/ a b_2))
(* -1 (/ (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2))) b_2))
(* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (* (pow a 2) (* c (pow (sqrt -1) 2))) b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1))) b_2))) b_2))
(* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (- (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -1) 3) b_2)) (* -1 (* (pow a 2) (* c (pow (sqrt -1) 2))))) b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1))) b_2))) b_2))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(- (* (sqrt (* a c)) (sqrt -1)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))
(* (sqrt (* a c)) (sqrt -1))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))
(* -1 b_2)
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (/ b_2 (* a (pow (sqrt -1) 2))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* b_2 (+ (* -1 (* b_2 (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1))) (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* a (pow (sqrt -1) 2))))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* b_2 (+ (* b_2 (+ (* -1 (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1))) (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))))) (* (sqrt (/ 1 (* a c))) (/ (* b_2 (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1))) (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))))) (sqrt -1))))) (/ 1 (* a (pow (sqrt -1) 2))))))
(* -1 (/ b_2 a))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(* b_2 (- (+ (* -1 (/ (- c (* -1 (* c (pow (sqrt -1) 2)))) (pow b_2 2))) (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))
(* b_2 (- (+ (* -1 (/ (- c (* -1 (* c (pow (sqrt -1) 2)))) (pow b_2 2))) (+ (* (sqrt (* a c)) (/ (* (sqrt -1) (- c (* -1 (* c (pow (sqrt -1) 2))))) (pow b_2 3))) (* (sqrt (/ c a)) (/ (sqrt -1) b_2)))) (/ 1 a)))
(* -1 (/ b_2 a))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (/ (- (* -1 (/ (- c (* -1 (* c (pow (sqrt -1) 2)))) b_2)) (* -1 (* (sqrt (/ c a)) (sqrt -1)))) b_2)) (/ 1 a))))
(* -1 (* b_2 (+ (* -1 (/ (- (* -1 (/ (- (+ c (* -1 (* (sqrt (* a c)) (/ (* (sqrt -1) (- c (* -1 (* c (pow (sqrt -1) 2))))) b_2)))) (* -1 (* c (pow (sqrt -1) 2)))) b_2)) (* -1 (* (sqrt (/ c a)) (sqrt -1)))) b_2)) (/ 1 a))))
(* -1 (/ (pow b_2 2) (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1))))))
(/ (+ (* -1 (/ (* a c) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))) a)
(/ (+ (* -1 (/ (* a c) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))) a)
(/ (+ (* -1 (/ (* a c) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))) a)
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2))) a))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (/ (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2))) a)) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b_2 (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2)))) (sqrt -1))))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (/ (* (pow b_2 2) (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2)))) (* (pow a 2) (* c (pow (sqrt -1) 2))))) (+ (* -1 (/ (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2))) a)) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b_2 (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2)))) (sqrt -1)))))) a)
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))) (* a b_2)) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))) (* a b_2))))) (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* a b_2)) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow b_2 2) (- (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))) (* a b_2))) c) (* (sqrt (/ a c)) (* b_2 (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))) (* a b_2)))))) a)) (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* a b_2)) a))) a))
(* -1 (/ (pow b_2 2) (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1))))))
(+ (* -1 (/ c (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))))
(+ (* -1 (/ c (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))))
(+ (* -1 (/ c (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2)))) c)))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (+ (* -1 (/ (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2)))) c)) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b_2 (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2))))) (sqrt -1)))))
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (+ (* -1 (/ (* (pow b_2 2) (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2))))) (* a (* (pow c 2) (pow (sqrt -1) 2))))) (+ (* -1 (/ (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2)))) c)) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b_2 (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2))))) (sqrt -1))))))
(* (sqrt (/ c a)) (sqrt -1))
(- (+ (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))
(+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))) (/ (* b_2 c) a)))))) (* -1 (- (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))) (/ (* b_2 c) a)))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (- (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))) (/ (* b_2 c) a))) (* -1 (/ (+ (* -1 (/ (* (pow b_2 2) (- (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))) (/ (* b_2 c) a))) a)) (* (sqrt (/ c a)) (* b_2 (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))) (/ (* b_2 c) a)))))) c))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(* a c)
(- (pow b_2 2) (* -1 (* a c)))
(- (pow b_2 2) (* -1 (* a c)))
(- (pow b_2 2) (* -1 (* a c)))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))
(pow b_2 2)
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(+ (* a c) (pow b_2 2))
(* a c)
(* a (- (/ (pow b_2 2) a) (* -1 c)))
(* a (- (/ (pow b_2 2) a) (* -1 c)))
(* a (- (/ (pow b_2 2) a) (* -1 c)))
(* a c)
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) c)))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) c)))
(* -1 (* a (- (* -1 (/ (pow b_2 2) 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)
(* c (- (/ (pow b_2 2) c) (* -1 a)))
(* c (- (/ (pow b_2 2) c) (* -1 a)))
(* c (- (/ (pow b_2 2) c) (* -1 a)))
(* a c)
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) a)))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) a)))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) a)))
(* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1))))
(+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (/ b_2 (pow (sqrt -1) 2)))
(+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* b_2 (+ (* -1 (* b_2 (- (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))) (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (pow (sqrt -1) 2)))))
(+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* b_2 (+ (* b_2 (+ (* -1 (- (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))) (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -1) 3)))))) (* (sqrt (/ 1 (* a c))) (/ (* b_2 (- (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))) (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -1) 3)))))) (sqrt -1))))) (/ 1 (pow (sqrt -1) 2)))))
(* -1 b_2)
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))
(* b_2 (- (+ (* -1 (/ (- (* a c) (* -1 (* a (* c (pow (sqrt -1) 2))))) (pow b_2 2))) (* (sqrt (* a c)) (/ (sqrt -1) b_2))) 1))
(* b_2 (- (+ (* -1 (/ (- (* a c) (* -1 (* a (* c (pow (sqrt -1) 2))))) (pow b_2 2))) (+ (* (sqrt (* a c)) (/ (sqrt -1) b_2)) (* (sqrt (* a c)) (/ (* (sqrt -1) (- (* a c) (* -1 (* a (* c (pow (sqrt -1) 2)))))) (pow b_2 3))))) 1))
(* -1 b_2)
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))
(* -1 (* b_2 (+ 1 (* -1 (/ (- (* -1 (/ (- (* a c) (* -1 (* a (* c (pow (sqrt -1) 2))))) b_2)) (* -1 (* (sqrt (* a c)) (sqrt -1)))) b_2)))))
(* -1 (* b_2 (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (* a c)) (/ (* (sqrt -1) (- (* a c) (* -1 (* a (* c (pow (sqrt -1) 2)))))) b_2))) (* a c)) (* -1 (* a (* c (pow (sqrt -1) 2))))) b_2)) (* -1 (* (sqrt (* a c)) (sqrt -1)))) b_2)))))
(* -1 (/ (pow b_2 2) (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))
(+ (* -1 (/ (* a c) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))))
(+ (* -1 (/ (* a c) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))))
(+ (* -1 (/ (* a c) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1))))
(+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2))) a)))
(+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (/ (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2))) a)) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b_2 (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2)))) (sqrt -1)))))
(+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (/ (* (pow b_2 2) (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2)))) (* (pow a 2) (* c (pow (sqrt -1) 2))))) (+ (* -1 (/ (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2))) a)) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b_2 (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2)))) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -1))
(- (+ (* (sqrt (* a c)) (sqrt -1)) (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2)
(+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))) (* a b_2)))))) (* -1 (- (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))) (* a b_2)))) a)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (- (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))) (* a b_2))) (* -1 (/ (+ (* -1 (/ (* (pow b_2 2) (- (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))) (* a b_2))) c)) (* (sqrt (/ a c)) (* b_2 (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))) (* a b_2)))))) a))) a)) (* (sqrt (* a c)) (sqrt -1)))
(* -1 (/ (pow b_2 2) (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))
(+ (* -1 (/ (* a c) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))))
(+ (* -1 (/ (* a c) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))))
(+ (* -1 (/ (* a c) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))))
(* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1))))
(+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ (- (* (sqrt (/ c a)) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (pow (sqrt -1) 2))) c)))
(+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (/ (- (* (sqrt (/ c a)) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (pow (sqrt -1) 2))) c)) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b_2 (- (* (sqrt (/ c a)) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (pow (sqrt -1) 2)))) (sqrt -1)))))
(+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (/ (* (pow b_2 2) (- (* (sqrt (/ c a)) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (pow (sqrt -1) 2)))) (* a (* (pow c 2) (pow (sqrt -1) 2))))) (+ (* -1 (/ (- (* (sqrt (/ c a)) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (pow (sqrt -1) 2))) c)) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b_2 (- (* (sqrt (/ c a)) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (pow (sqrt -1) 2)))) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -1))
(- (+ (* (sqrt (* a c)) (sqrt -1)) (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2)
(+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (- (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))) (* b_2 c)))))) (* -1 (- (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))) (* b_2 c)))) c)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (- (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))) (* b_2 c))) (* -1 (/ (+ (* -1 (/ (* (pow b_2 2) (- (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))) (* b_2 c))) a)) (* (sqrt (/ c a)) (* b_2 (* (sqrt -1) (- (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))) (* b_2 c)))))) c))) c)) (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (/ b_2 (* a (* c (pow (sqrt -1) 2)))))
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* b_2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ b_2 (pow (sqrt -1) 3)))) (/ 1 (* a (* c (pow (sqrt -1) 2)))))))
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* b_2 (+ (* b_2 (- (/ b_2 (* (pow a 2) (* (pow c 2) (pow (sqrt -1) 4)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))) (/ 1 (* a (* c (pow (sqrt -1) 2)))))))
(/ -1 b_2)
(/ (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1) b_2)
(/ (- (* -1 (/ (* a (* c (pow (sqrt -1) 2))) (pow b_2 2))) (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))) b_2)
(/ (- (* (sqrt (* (pow a 3) (pow c 3))) (/ (pow (sqrt -1) 3) (pow b_2 3))) (+ 1 (+ (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))) (/ (* a (* c (pow (sqrt -1) 2))) (pow b_2 2))))) b_2)
(/ -1 b_2)
(* -1 (/ (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))) b_2))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (* a (* c (pow (sqrt -1) 2))) b_2)) (* -1 (* (sqrt (* a c)) (sqrt -1)))) b_2))) b_2))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (* (sqrt (* (pow a 3) (pow c 3))) (/ (pow (sqrt -1) 3) b_2))) (* -1 (* a (* c (pow (sqrt -1) 2))))) b_2)) (* -1 (* (sqrt (* a c)) (sqrt -1)))) b_2))) 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 (/ 1 (* a c))) (/ 1 (sqrt -1))))
(/ (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (/ b_2 (* c (pow (sqrt -1) 2)))) a)
(/ (- (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1))))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2))))) a)
(/ (- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (/ (pow b_2 3) (* a (* (pow c 2) (pow (sqrt -1) 4))))) (+ (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) a)
(* (sqrt (/ 1 (* a c))) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)) a))
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1))) (/ (* a b_2) c)) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* a (pow b_2 3)) (pow c 2))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) a)) (/ (* a b_2) c)) a))) a))
(/ -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 (/ 1 (* a c))) (/ 1 (sqrt -1))))
(/ (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (/ b_2 (* a (pow (sqrt -1) 2)))) c)
(/ (- (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1))))) (* -1 (/ b_2 (* a (pow (sqrt -1) 2))))) c)
(/ (- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (/ (pow b_2 3) (* (pow a 2) (* c (pow (sqrt -1) 4))))) (+ (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) c)
(* (sqrt (/ 1 (* a c))) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)) c))
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))) (/ (* b_2 c) a)) c))) c))
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow b_2 3) c) (pow a 2))) (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))) c)) (/ (* b_2 c) a)) c))) c))

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

eval323.0ms (3.9%)

Memory: 17.1MiB live, 440.3MiB allocated
Compiler: Compiled 57 591 to 4 526 computations (92.1% saved)

prune374.0ms (4.5%)

Memory

-35.0MiB live, 579.3MiB allocated

Pruning

29 alts after pruning (24 fresh and 5 done)

	Pruned	Kept	Total
New	2 113	17	2 130
Fresh	4	7	11
Picked	3	2	5
Done	0	3	3
Total	2 120	29	2 149

Accuracy

99.8%

Counts

2 149 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.7%	(fma.f64 (/.f64 (sqrt.f64 (neg.f64 c)) a) (sqrt.f64 a) (/.f64 b_2 a))
	17.9%	(/.f64 (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) (neg.f64 b_2)) a)
	15.1%	(/.f64 (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) b_2) a)
	13.8%	(/.f64 (fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c) b_2) a)
	29.5%	(/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) a) (.f64 b_2 b_2))) b_2)
▶	21.4%	(/.f64 (fma.f64 b_2 b_2 (.f64 a c)) (.f64 (-.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a))
	23.0%	(/.f64 (/.f64 (fma.f64 b_2 b_2 (.f64 a c)) (-.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) a)
	24.9%	(/.f64 (-.f64 (.f64 (sqrt.f64 (.f64 a (neg.f64 c))) a) (.f64 a b_2)) (.f64 a a))
	32.6%	(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
✓	51.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	12.4%	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
	34.3%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
	2.2%	(/.f64 (*.f64 #s(literal -2 binary64) b_2) (neg.f64 a))
▶	16.7%	(/.f64 (neg.f64 b_2) a)
✓	32.5%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)))
▶	12.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
	34.0%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) c) b_2))
	40.6%	(/.f64 #s(literal 1 binary64) (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)))
▶	12.4%	(/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c))
	40.7%	(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
	32.6%	(-.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) (/.f64 b_2 a))
	21.0%	(.f64 (fma.f64 b_2 b_2 (.f64 a c)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) a)))
	40.7%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) b_2)) (/.f64 #s(literal 1 binary64) a))
	32.5%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (.f64 a (neg.f64 c))) b_2))
▶	40.7%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
	12.4%	(*.f64 (neg.f64 c) (/.f64 #s(literal -1/2 binary64) b_2))
✓	34.2%	(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
✓	40.8%	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
✓	12.6%	#s(literal 0 binary64)

Compiler

Compiled 642 to 442 computations (31.2% saved)

simplify259.0ms (3.1%)

Memory

6.9MiB live, 242.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

2 724×	`lower-fma.f32`
2 722×	`lower-fma.f64`
2 036×	`lower-*.f32`
2 026×	`lower-*.f64`
1 946×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	114
0	45	110
1	74	108
2	125	108
3	217	108
4	332	108
5	527	108
6	839	108
7	1444	108
8	2354	108
9	3007	108
10	3891	108
11	4657	108
12	5304	108
13	5738	108
14	5862	108
15	5986	108
16	6665	107
17	7015	107
18	7337	107
0	8068	106

Stop Event

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

Calls

Call 1

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

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

localize89.0ms (1.1%)

Memory

17.0MiB live, 94.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (-.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) a)
✓	accuracy	99.6%	(fma.f64 b_2 b_2 (*.f64 a c))
✓	accuracy	87.4%	(sqrt.f64 (*.f64 a (neg.f64 c)))
✓	accuracy	82.2%	(/.f64 (fma.f64 b_2 b_2 (.f64 a c)) (.f64 (-.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a))
✓	accuracy	100.0%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	accuracy	100.0%	(*.f64 c #s(literal -1/2 binary64))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
✓	accuracy	99.4%	(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))
✓	accuracy	100.0%	(/.f64 b_2 c)
✓	accuracy	99.8%	(/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c))
✓	accuracy	100.0%	(/.f64 (neg.f64 b_2) a)
✓	accuracy	100.0%	(neg.f64 b_2)
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) a)
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)

Samples

32.0ms	95×	0	invalid
28.0ms	161×	0	valid

Compiler

Compiled 118 to 29 computations (75.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-div: 13.0ms (45.5% of total)

ival-mult: 9.0ms (31.5% of total)

ival-sqrt: 2.0ms (7% of total)

ival-neg: 2.0ms (7% of total)

ival-add: 1.0ms (3.5% of total)

ival-sub: 1.0ms (3.5% of total)

exact: 1.0ms (3.5% of total)

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

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

series61.0ms (0.7%)

Memory

-6.1MiB live, 31.7MiB allocated

Counts

15 → 360

Calls

Call 1

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

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

Calls

90 calls:

Time	Variable		Point	Expression
44.0ms	a	@	inf	(/ (+ (* b_2 b_2) (* a c)) (* (- b_2 (sqrt (* a (neg c)))) a))
1.0ms	c	@	inf	(/ (+ (* b_2 b_2) (* a c)) (* (- b_2 (sqrt (* a (neg c)))) a))
1.0ms	a	@	-inf	(/ (+ (* b_2 b_2) (* a c)) (* (- b_2 (sqrt (* a (neg c)))) a))
1.0ms	c	@	-inf	(/ (+ (* b_2 b_2) (* a c)) (* (- b_2 (sqrt (* a (neg c)))) a))
1.0ms	b_2	@	0	(/ (+ (* b_2 b_2) (* a c)) (* (- b_2 (sqrt (* a (neg c)))) a))

rewrite327.0ms (4%)

Memory

-23.5MiB live, 519.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 136×	`lower-fma.f32`
6 134×	`lower-fma.f64`
5 168×	`lower-*.f32`
5 158×	`lower-*.f64`
3 442×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	85
0	45	81
1	155	79
2	872	72
0	8193	72

Stop Event

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

Counts

15 → 913

Calls

Call 1

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

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

simplify365.0ms (4.4%)

Memory

3.1MiB live, 664.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 990×	`lower-fma.f64`
10 990×	`lower-fma.f32`
4 856×	`lower-*.f64`
4 856×	`lower-*.f32`
3 162×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	293	3304
1	928	3118
2	3222	2943
0	8141	2863

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

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

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

eval175.0ms (2.1%)

Memory: 10.4MiB live, 297.4MiB allocated
Compiler: Compiled 23 476 to 2 285 computations (90.3% saved)

prune189.0ms (2.3%)

Memory

-3.7MiB live, 314.5MiB allocated

Pruning

29 alts after pruning (22 fresh and 7 done)

	Pruned	Kept	Total
New	1 267	6	1 273
Fresh	3	16	19
Picked	2	3	5
Done	1	4	5
Total	1 273	29	1 302

Accuracy

99.8%

Counts

1 302 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.7%	(fma.f64 (/.f64 (sqrt.f64 (neg.f64 c)) a) (sqrt.f64 a) (/.f64 b_2 a))
	17.9%	(/.f64 (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) (neg.f64 b_2)) a)
	15.1%	(/.f64 (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) b_2) a)
	13.8%	(/.f64 (fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c) b_2) a)
	29.5%	(/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) a) (.f64 b_2 b_2))) b_2)
	23.0%	(/.f64 (/.f64 (fma.f64 b_2 b_2 (.f64 a c)) (-.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) a)
	32.6%	(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
✓	51.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	11.8%	(/.f64 (.f64 (neg.f64 (.f64 c c)) #s(literal -1/2 binary64)) (*.f64 c b_2))
	34.3%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
	26.5%	(/.f64 (.f64 a c) (.f64 (-.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a))
	2.2%	(/.f64 (*.f64 #s(literal -2 binary64) b_2) (neg.f64 a))
✓	16.7%	(/.f64 (neg.f64 b_2) a)
	2.2%	(/.f64 b_2 a)
	12.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 c b_2)))
	34.0%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) c) b_2))
	40.6%	(/.f64 #s(literal 1 binary64) (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)))
✓	12.4%	(/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c))
	40.7%	(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
	32.6%	(-.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) (/.f64 b_2 a))
	21.0%	(.f64 (fma.f64 b_2 b_2 (.f64 a c)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) a)))
	12.4%	(.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) (neg.f64 (*.f64 b_2 b_2))) b_2)
	40.7%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) b_2)) (/.f64 #s(literal 1 binary64) a))
	32.5%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (.f64 a (neg.f64 c))) b_2))
	12.4%	(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
✓	40.7%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
✓	34.2%	(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
✓	40.8%	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
✓	12.6%	#s(literal 0 binary64)

Compiler

Compiled 943 to 406 computations (56.9% saved)

regimes84.0ms (1%)

Memory

1.1MiB live, 117.5MiB allocated

Counts

51 → 3

Calls

Call 1

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

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

Calls

4 calls:

34.0ms	a
18.0ms	b_2
15.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
15.0ms	c

Results

Accuracy	Segments	Branch
53.8%	2	`a`
88.8%	3	`b_2`
51.1%	1	`c`
75.8%	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)

regimes10.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

28 → 3

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

b_2

Results

Accuracy	Segments	Branch
84.1%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

21 → 2

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

b_2

Results

Accuracy	Segments	Branch
72.5%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes12.0ms (0.2%)

Memory

-29.1MiB live, 8.3MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

b_2

Results

Accuracy	Segments	Branch
72.5%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory

23.0MiB live, 23.0MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
40.8%	1	`c`
40.8%	1	`a`
40.8%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
50.7%	2	`b_2`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes9.0ms (0.1%)

Memory

-18.3MiB live, 20.2MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
16.7%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
18.6%	2	`a`
20.9%	3	`c`
26.6%	2	`b_2`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes6.0ms (0.1%)

Memory

17.7MiB live, 17.7MiB allocated

Accuracy

Total -6.8b remaining (-12.2%)

Threshold costs -6.8b (-12.2%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 0 binary64)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
12.6%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
12.6%	1	`a`
12.6%	1	`c`
12.6%	1	`b_2`

Compiler

Compiled 28 to 19 computations (32.1% saved)

bsearch29.0ms (0.4%)

Memory

-16.6MiB live, 44.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
17.0ms	4.870203929126949e-159	1.5171494168761902e-157
9.0ms	-3.685071853913038e+96	-1.330344778664814e+96

Samples

9.0ms	136×	0	valid
3.0ms	50×	0	invalid
3.0ms	23×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 279 to 196 computations (29.7% saved)

Precisions

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

ival-mult: 3.0ms (31.2% of total)

ival-sqrt: 2.0ms (20.8% of total)

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

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

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

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

adjust: 0.0ms (0% of total)

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

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

bsearch23.0ms (0.3%)

Memory

6.6MiB live, 43.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.870203929126949e-159	1.5171494168761902e-157
21.0ms	-2.75452987955398e-134	-1.6888589483046944e-140

Samples

9.0ms	144×	0	valid
5.0ms	47×	0	invalid

Compiler

Compiled 371 to 272 computations (26.7% saved)

Precisions

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

ival-sqrt: 3.0ms (31.2% of total)

ival-mult: 2.0ms (20.8% of total)

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

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

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

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

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

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

bsearch18.0ms (0.2%)

Memory

-4.4MiB live, 33.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.1539931382323496e-305	8.80023919748145e-305

Samples

8.0ms	96×	0	valid
4.0ms	61×	0	invalid

Compiler

Compiled 127 to 100 computations (21.3% saved)

Precisions

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

ival-mult: 2.0ms (32% of total)

ival-sub: 1.0ms (16% of total)

ival-div: 1.0ms (16% of total)

ival-add: 1.0ms (16% of total)

ival-sqrt: 1.0ms (16% of total)

ival-neg: 1.0ms (16% of total)

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

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

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.1539931382323496e-305	8.80023919748145e-305

Compiler

Compiled 127 to 100 computations (21.3% saved)

bsearch65.0ms (0.8%)

Memory

-27.9MiB live, 54.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
37.0ms	7.65513896672498e-274	9.005560931326946e-261

Samples

22.0ms	158×	0	valid
6.0ms	94×	0	invalid
0.0ms	2×	1	valid

Compiler

Compiled 159 to 136 computations (14.5% saved)

Precisions

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

ival-mult: 3.0ms (28.8% of total)

ival-div: 2.0ms (19.2% of total)

ival-sqrt: 2.0ms (19.2% of total)

ival-add: 1.0ms (9.6% of total)

ival-sub: 1.0ms (9.6% of total)

ival-neg: 1.0ms (9.6% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.65513896672498e-274	9.005560931326946e-261

Compiler

Compiled 149 to 126 computations (15.4% saved)

simplify9.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	106
1	62	105
2	77	105
3	85	105
4	88	105

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -2000000000000000099723307943817786034020536970876924303149785861223976798198611630768918030712832 binary64)) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (if (<=.f64 b_2 #s(literal 2318722513810355/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -5523846650824739/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336 binary64)) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (if (<=.f64 b_2 #s(literal 2318722513810355/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) (/.f64 (-.f64 (sqrt.f64 (.f64 a (neg.f64 c))) b_2) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal 6325070415853457/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232 binary64)) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal 6325070415853457/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232 binary64)) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
(if (<=.f64 b_2 #s(literal 7601344928891999/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 0 binary64))
(if (<=.f64 b_2 #s(literal 7601344928891999/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976 binary64)) (/.f64 (neg.f64 b_2) a) #s(literal 0 binary64))
#s(literal 0 binary64)

Outputs
(if (<=.f64 b_2 #s(literal -2000000000000000099723307943817786034020536970876924303149785861223976798198611630768918030712832 binary64)) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (if (<=.f64 b_2 #s(literal 2318722513810355/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -2000000000000000099723307943817786034020536970876924303149785861223976798198611630768918030712832 binary64)) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (if (<=.f64 b_2 #s(literal 2318722513810355/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -5523846650824739/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336 binary64)) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (if (<=.f64 b_2 #s(literal 2318722513810355/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) (/.f64 (-.f64 (sqrt.f64 (.f64 a (neg.f64 c))) b_2) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -5523846650824739/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336 binary64)) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (if (<=.f64 b_2 #s(literal 2318722513810355/15458150092069033378781407563727949377195709318825739994628941005806076569158241698144775066327690311849854464126008708709460314644171950622971634693868322994787923259293696 binary64)) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal 6325070415853457/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232 binary64)) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal 6325070415853457/395316900990841051469717474060385365331165331570590074915822964897324881968740911898360124416869383779662261453743773264433220190206627884505885546759254902190463719290168674539974429183775813166483921247017080212035170866063852926988483116502264758478144641625700721781901200420372075258176420915324230983022866681823232 binary64)) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
(if (<=.f64 b_2 #s(literal 7601344928891999/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 0 binary64))
(if (<=.f64 b_2 #s(literal 7601344928891999/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976 binary64)) (/.f64 (neg.f64 b_2) a) #s(literal 0 binary64))
(if (<=.f64 b_2 #s(literal 7601344928891999/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976 binary64)) (/.f64 b_2 (neg.f64 a)) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness625.0ms (7.6%)

Memory

17.1MiB live, 404.5MiB allocated

Rules

11 022×	`lower-fma.f64`
11 022×	`lower-fma.f32`
8 972×	`lower-fma.f64`
8 972×	`lower-fma.f32`
7 132×	`lower-*.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	650	5688
1	2065	5587
2	6946	5543
0	8124	5356
0	28	123
0	49	109
1	171	96
0	1170	96
0	508	3200
1	1606	3160
2	5520	3144
0	8782	3008

Stop Event

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

Compiler

Compiled 297 to 181 computations (39.1% saved)

preprocess144.0ms (1.8%)

Memory: -18.2MiB live, 152.2MiB allocated
Compiler: Compiled 432 to 156 computations (63.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	50
0	17	50
1	28	48
2	45	48
3	74	48
4	113	48
5	189	48
6	319	48
7	464	48
8	807	48
9	920	48
10	952	48
11	963	48
12	964	48
0	964	48

Iter	Nodes	Cost
0	10	50
0	17	50
1	28	48
2	45	48
3	74	48
4	113	48
5	189	48
6	319	48
7	464	48
8	807	48
9	920	48
10	952	48
11	963	48
12	964	48
0	964	48

analyze138.0ms (1.7%)

sample1.5s (17.7%)

preprocess126.0ms (1.5%)

explain170.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify53.0ms (0.6%)

localize74.0ms (0.9%)

series22.0ms (0.3%)

rewrite247.0ms (3%)

simplify379.0ms (4.6%)

eval76.0ms (0.9%)

prune109.0ms (1.3%)

simplify138.0ms (1.7%)

localize85.0ms (1%)

series75.0ms (0.9%)

rewrite70.0ms (0.9%)

simplify403.0ms (4.9%)

eval109.0ms (1.3%)

prune79.0ms (1%)

simplify362.0ms (4.4%)

localize80.0ms (1%)

series44.0ms (0.5%)

rewrite338.0ms (4.1%)

simplify369.0ms (4.5%)

eval323.0ms (3.9%)

prune374.0ms (4.5%)

simplify259.0ms (3.1%)

localize89.0ms (1.1%)

series61.0ms (0.7%)

rewrite327.0ms (4%)

simplify365.0ms (4.4%)

eval175.0ms (2.1%)

prune189.0ms (2.3%)

regimes84.0ms (1%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes12.0ms (0.2%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch29.0ms (0.4%)

bsearch23.0ms (0.3%)

bsearch18.0ms (0.2%)

bsearch1.0ms (0%)

bsearch65.0ms (0.8%)

bsearch1.0ms (0%)

simplify9.0ms (0.1%)

soundness625.0ms (7.6%)

preprocess144.0ms (1.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	50
0	17	50
1	28	48
2	45	48
3	74	48
4	113	48
5	189	48
6	319	48
7	464	48
8	807	48
9	920	48
10	952	48
11	963	48
12	964	48
0	964	48