Metrics for quad2p (problem 3.2.1, positive)

analyze140.0ms (1.4%)

Memory

-31.7MiB live, 130.7MiB 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)

sample1.8s (18.6%)

Memory

20.9MiB live, 1 774.0MiB allocated

Samples

415.0ms	5 593×	0	valid
279.0ms	1 152×	2	valid
170.0ms	1 304×	1	valid
104.0ms	1 027×	0	invalid
60.0ms	202×	3	valid
1.0ms	5×	4	valid

Precisions

Click to see histograms. Total time spent on operations: 769.0ms

ival-mult: 173.0ms (22.5% of total)

ival-neg: 161.0ms (20.9% of total)

ival-div: 139.0ms (18.1% of total)

ival-sqrt: 99.0ms (12.9% of total)

ival-sub: 64.0ms (8.3% of total)

ival-add: 61.0ms (7.9% of total)

adjust: 60.0ms (7.8% of total)

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

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

Bogosity

preprocess117.0ms (1.2%)

Memory

11.1MiB live, 86.5MiB 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)

explain166.0ms (1.7%)

Memory

10.7MiB live, 213.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
117	-	1	(-3.671990675870366e-138 -1.2622144841140532e-254 4.1453561258716755e-178)	`(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))))`
10	-	2	(-6.767188082312429e-274 4.469134390679806e-202 -3.0871508433683544e-242)	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
4	-	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	108	0
↳	`(*.f64 b_2 b_2)`	overflow	85
↳	`(*.f64 a c)`	overflow	36
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	overflow	108
`+.f64`	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	cancellation	51	0
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	uflow-rescue	8	0
↳	`(*.f64 b_2 b_2)`	underflow	50
↳	`(*.f64 a c)`	underflow	34
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	8
`/.f64`	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`	u/n	8	0
↳	`(*.f64 b_2 b_2)`	underflow	50
↳	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	underflow	24
↳	`(*.f64 a c)`	underflow	34
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	8
`-.f64`	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	nan-rescue	4	0
↳	`(*.f64 b_2 b_2)`	overflow	85
↳	`(*.f64 a c)`	overflow	36

Confusion

	Predicted +	Predicted -
+	137	1
-	13	105

Precision

0.9133333333333333

Recall

0.9927536231884058

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	137	0	1
-	13	0	105

Precision?

0.9133333333333333

Recall?

0.9927536231884058

Freqs

test

number	freq
0	106
1	121
2	29

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms	362×	0	valid
22.0ms	70×	2	valid
13.0ms	66×	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: 45.0ms

ival-sqrt: 10.0ms (22.2% of total)

ival-mult: 9.0ms (20% of total)

adjust: 8.0ms (17.8% of total)

ival-add: 6.0ms (13.3% of total)

ival-div: 5.0ms (11.1% of total)

ival-sub: 3.0ms (6.7% of total)

ival-neg: 3.0ms (6.7% of total)

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

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

eval0.0ms (0%)

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

prune3.0ms (0%)

Memory

-34.7MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.1%	(/.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)

simplify37.0ms (0.4%)

Memory

14.2MiB live, 53.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

416×	`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

localize41.0ms (0.4%)

Memory

18.9MiB live, 56.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.7%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	96.6%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	accuracy	81.5%	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	accuracy	57.5%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Samples

15.0ms	181×	0	valid
7.0ms	35×	2	valid
5.0ms	33×	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: 19.0ms

ival-div: 4.0ms (21.4% of total)

ival-mult: 4.0ms (21.4% of total)

ival-sqrt: 3.0ms (16% of total)

ival-sub: 2.0ms (10.7% of total)

adjust: 2.0ms (10.7% of total)

ival-neg: 2.0ms (10.7% of total)

ival-add: 2.0ms (10.7% of total)

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

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

series26.0ms (0.3%)

Memory

-30.0MiB live, 25.5MiB 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
8.0ms	a	@	inf	(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
1.0ms	b_2	@	inf	(+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
1.0ms	a	@	inf	(+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
1.0ms	c	@	0	(+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))
1.0ms	b_2	@	inf	(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)

rewrite275.0ms (2.8%)

Memory

37.4MiB live, 304.1MiB 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))))))

simplify454.0ms (4.7%)

Memory

-2.3MiB live, 625.7MiB 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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(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(-.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (.f64 (/.f64 (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))) (.f64 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))))) (/.f64 b_2 a))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 b_2 b_2)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) b_2) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 a c)))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))))) #s(literal 1/8 binary64))) a) b_2) a) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
(* -1/2 (/ c b_2))
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))
(.f64 c (fma.f64 c (/.f64 (.f64 a #s(literal -1/8 binary64)) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 #s(literal -1/2 binary64) b_2)))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))
(.f64 c (fma.f64 c (fma.f64 (.f64 a a) (.f64 (/.f64 c (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64)) (/.f64 (.f64 a #s(literal -1/8 binary64)) (.f64 b_2 (.f64 b_2 b_2)))) (/.f64 #s(literal -1/2 binary64) b_2)))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))
(.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/2 binary64) (.f64 c (/.f64 (/.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 5/64 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (.f64 a b_2))) (/.f64 (.f64 (.f64 a a) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))) (/.f64 (.f64 a #s(literal -1/8 binary64)) (.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 #s(literal -1/2 binary64) b_2)))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(.f64 c (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 b_2 (*.f64 a (neg.f64 c)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 c (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c))))))) (.f64 (.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))))) (/.f64 b_2 (*.f64 a c))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(.f64 c (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (.f64 (/.f64 (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c))))))) (.f64 (.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))))) (/.f64 b_2 (.f64 a c))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 b_2 (*.f64 a c))) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(neg.f64 (.f64 c (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (*.f64 a c))))))) (/.f64 b_2 (neg.f64 a))) c))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(neg.f64 (.f64 c (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 (+.f64 (/.f64 b_2 a) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (pow.f64 a #s(literal 5 binary64))))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2))) #s(literal -1/8 binary64)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c (.f64 a (.f64 a a))))))) c)) c))))
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(fma.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(fma.f64 (.f64 b_2 b_2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c))))))) (.f64 (/.f64 (.f64 b_2 b_2) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)))) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(fma.f64 (.f64 b_2 b_2) (fma.f64 (.f64 b_2 b_2) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c))))))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (.f64 (/.f64 (.f64 b_2 b_2) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(fma.f64 (/.f64 (.f64 a c) (.f64 b_2 b_2)) (*.f64 #s(literal -1/2 binary64) b_2) b_2)
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(fma.f64 b_2 (fma.f64 a (/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 b_2 b_2)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b_2 b_2) (*.f64 b_2 b_2)))) b_2)
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(fma.f64 b_2 (fma.f64 a (/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 b_2 b_2)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2))) (/.f64 (.f64 (.f64 (.f64 c (.f64 c c)) #s(literal -1/16 binary64)) (.f64 a (.f64 a a))) (pow.f64 b_2 #s(literal 6 binary64))))) b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(.f64 (fma.f64 (.f64 a c) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) #s(literal 1 binary64)) (neg.f64 b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(.f64 (fma.f64 (.f64 (.f64 a #s(literal -1/8 binary64)) a) (/.f64 (.f64 c c) (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2))) (fma.f64 (.f64 a c) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) #s(literal 1 binary64))) (neg.f64 b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(neg.f64 (fma.f64 b_2 (fma.f64 a (/.f64 (.f64 c #s(literal -1/2 binary64)) (.f64 b_2 b_2)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2))) (/.f64 (.f64 (.f64 (.f64 c (.f64 c c)) #s(literal -1/16 binary64)) (.f64 a (.f64 a a))) (pow.f64 b_2 #s(literal 6 binary64))))) b_2))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(fma.f64 a (fma.f64 c (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c c))) (.f64 b_2 (*.f64 b_2 b_2)))) b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))
(fma.f64 a (fma.f64 a (fma.f64 (/.f64 (.f64 c (.f64 c c)) (pow.f64 b_2 #s(literal 5 binary64))) (.f64 #s(literal -1/16 binary64) a) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (.f64 b_2 (.f64 b_2 b_2)))) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(.f64 a (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))) (.f64 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(.f64 a (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (.f64 (/.f64 (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))) (.f64 (.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 a (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))) (.f64 (.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/2 binary64)))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) (neg.f64 a))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(neg.f64 (.f64 a (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 b_2 b_2) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2)))))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
(neg.f64 (.f64 a (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))))))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2)
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(fma.f64 c (fma.f64 c (/.f64 (.f64 (.f64 a #s(literal -1/8 binary64)) a) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2)) b_2)
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(fma.f64 c (fma.f64 c (fma.f64 (.f64 a (.f64 a a)) (.f64 (/.f64 c (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64)) (/.f64 (.f64 (.f64 a #s(literal -1/8 binary64)) a) (.f64 b_2 (.f64 b_2 b_2)))) (/.f64 (.f64 a #s(literal -1/2 binary64)) b_2)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (.f64 (/.f64 (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 c (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c)))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))) (neg.f64 c))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(neg.f64 (.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2))) #s(literal -1/8 binary64)) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c)))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(neg.f64 (.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2))) #s(literal -1/8 binary64)) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))))
(* -1 (* a c))
(*.f64 a (neg.f64 c))
(- (pow b_2 2) (* a c))
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(- (pow b_2 2) (* a c))
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(- (pow b_2 2) (* a c))
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(pow b_2 2)
(*.f64 b_2 b_2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64)))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64)))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64)))
(pow b_2 2)
(*.f64 b_2 b_2)
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64)))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64)))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))
(.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64)))
(pow b_2 2)
(*.f64 b_2 b_2)
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(* -1 (* a c))
(*.f64 a (neg.f64 c))
(* a (- (/ (pow b_2 2) a) c))
(*.f64 a (fma.f64 b_2 (/.f64 b_2 a) (neg.f64 c)))
(* a (- (/ (pow b_2 2) a) c))
(*.f64 a (fma.f64 b_2 (/.f64 b_2 a) (neg.f64 c)))
(* a (- (/ (pow b_2 2) a) c))
(*.f64 a (fma.f64 b_2 (/.f64 b_2 a) (neg.f64 c)))
(* -1 (* a c))
(*.f64 a (neg.f64 c))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(*.f64 a (fma.f64 b_2 (/.f64 b_2 a) (neg.f64 c)))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(*.f64 a (fma.f64 b_2 (/.f64 b_2 a) (neg.f64 c)))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(*.f64 a (fma.f64 b_2 (/.f64 b_2 a) (neg.f64 c)))
(pow b_2 2)
(*.f64 b_2 b_2)
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))
(* -1 (* a c))
(*.f64 a (neg.f64 c))
(* c (- (/ (pow b_2 2) c) a))
(*.f64 c (fma.f64 b_2 (/.f64 b_2 c) (neg.f64 a)))
(* c (- (/ (pow b_2 2) c) a))
(*.f64 c (fma.f64 b_2 (/.f64 b_2 c) (neg.f64 a)))
(* c (- (/ (pow b_2 2) c) a))
(*.f64 c (fma.f64 b_2 (/.f64 b_2 c) (neg.f64 a)))
(* -1 (* a c))
(*.f64 a (neg.f64 c))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(*.f64 c (fma.f64 b_2 (/.f64 b_2 c) (neg.f64 a)))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(*.f64 c (fma.f64 b_2 (/.f64 b_2 c) (neg.f64 a)))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(*.f64 c (fma.f64 b_2 (/.f64 b_2 c) (neg.f64 a)))

eval69.0ms (0.7%)

Memory: 15.7MiB live, 165.5MiB allocated
Compiler: Compiled 18 587 to 2 099 computations (88.7% saved)

prune103.0ms (1.1%)

Memory

-8.7MiB live, 236.6MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	591	11	602
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	591	12	603

Accuracy

88.3%

Counts

603 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.4%	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
▶	11.5%	(/.f64 (+.f64 (neg.f64 b_2) (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2)) a)
	20.9%	(/.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)
▶	23.4%	(/.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)
✓	48.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	12.2%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))))) a)
	32.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64))))) a)
	25.8%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 b_2))) a)
	30.6%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
▶	31.4%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
▶	37.1%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
	36.4%	(neg.f64 (.f64 b_2 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a))))

Compiler

Compiled 408 to 242 computations (40.7% saved)

simplify285.0ms (2.9%)

Memory

22.5MiB live, 360.8MiB 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	(fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2)
✓	cost-diff	0	(neg.f64 b_2)
✓	cost-diff	384	(+.f64 (neg.f64 b_2) (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2))
✓	cost-diff	1024	(/.f64 (+.f64 (neg.f64 b_2) (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2)) a)
✓	cost-diff	0	(*.f64 c #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 a (.f64 c #s(literal -1/2 binary64)))
✓	cost-diff	0	(/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2)
✓	cost-diff	1024	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
✓	cost-diff	0	(*.f64 c #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	cost-diff	0	(*.f64 b_2 #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)

Rules

7 912×	`lower-fma.f32`
7 908×	`lower-fma.f64`
3 148×	`lower-*.f32`
3 140×	`lower-*.f64`
2 168×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	171
0	45	147
1	71	141
2	137	141
3	317	141
4	857	141
5	2506	141
6	6871	141
0	8182	141

Stop Event

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

Calls

Call 1

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

localize140.0ms (1.4%)

Memory

-25.6MiB live, 219.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.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) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))
✓	accuracy	88.4%	(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) (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2))
✓	accuracy	98.4%	(fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2)
✓	accuracy	93.7%	(/.f64 (+.f64 (neg.f64 b_2) (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2)) a)
✓	accuracy	100.0%	(*.f64 c #s(literal -1/2 binary64))
✓	accuracy	100.0%	(.f64 a (.f64 c #s(literal -1/2 binary64)))
✓	accuracy	95.0%	(/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2)
✓	accuracy	93.7%	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) 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	100.0%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
✓	accuracy	100.0%	(*.f64 b_2 #s(literal -2 binary64))

Samples

43.0ms	165×	0	invalid
19.0ms	91×	0	valid

Compiler

Compiled 182 to 29 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 17.0ms (45.2% of total)

ival-div: 13.0ms (34.6% of total)

ival-add: 5.0ms (13.3% of total)

ival-sqrt: 2.0ms (5.3% of total)

ival-neg: 1.0ms (2.7% of total)

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

exact: 0.0ms (0% of total)

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

series40.0ms (0.4%)

Memory

7.2MiB live, 84.2MiB allocated

Counts

16 → 468

Calls

Call 1

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

117 calls:

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

rewrite108.0ms (1.1%)

Memory

29.5MiB live, 147.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

788×	`lower-fma.f32`
786×	`lower-*.f32`
784×	`lower-fma.f64`
778×	`lower-*.f64`
700×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	130
0	45	122
1	174	114
0	1306	114

Stop Event

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

Counts

16 → 295

Calls

Call 1

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

simplify488.0ms (5%)

Memory

-41.5MiB live, 650.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 916×	`lower-fma.f64`
8 916×	`lower-fma.f32`
6 466×	`lower-*.f64`
6 466×	`lower-*.f32`
2 946×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	648	5872
1	2061	5785
2	6866	5747
0	8242	5550

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 464

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

eval214.0ms (2.2%)

Memory: 31.0MiB live, 180.5MiB allocated
Compiler: Compiled 13 966 to 1 573 computations (88.7% saved)

prune123.0ms (1.3%)

Memory

-0.5MiB live, 198.6MiB allocated

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	832	17	849
Fresh	4	2	6
Picked	4	1	5
Done	0	1	1
Total	840	21	861

Accuracy

88.4%

Counts

861 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.2%	(/.f64 (/.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)))))) a)
	19.4%	(/.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)))))))
	23.5%	(/.f64 (+.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))) a)
	30.4%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a c))))) a)
✓	48.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	32.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64))))) a)
	30.6%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
▶	25.2%	(/.f64 (.f64 c (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a)) a)
✓	31.4%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
	26.0%	(/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 a))
	31.4%	(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 c #s(literal -1/2 binary64))))
▶	23.6%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) b_2)))
▶	37.0%	(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
	24.5%	(.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) a) (/.f64 a b_2))
	23.6%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 b_2 b_2 (.f64 a c)))) b_2))
	31.4%	(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
▶	37.0%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
	28.3%	(.f64 a (/.f64 (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2) a))
	26.0%	(.f64 a (/.f64 (.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 a)))
▶	37.1%	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
	36.4%	(neg.f64 (.f64 b_2 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a))))

Compiler

Compiled 584 to 376 computations (35.6% saved)

simplify178.0ms (1.8%)

Memory

-1.2MiB live, 288.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

3 050×	`lower-*.f32`
3 038×	`lower-*.f64`
2 956×	`lower-/.f32`
2 940×	`lower-/.f64`
2 836×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	133
0	43	131
1	73	131
2	141	125
3	272	125
4	707	125
5	1616	125
6	3404	125
7	6560	125
0	8436	125

Stop Event

1×	iter limit
1×	node limit
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 (/.f64 #s(literal -2 binary64) a) b_2)
(/.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
a
b_2
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
#s(literal 1 binary64)
(/.f64 a (*.f64 b_2 #s(literal -2 binary64)))
a
(*.f64 b_2 #s(literal -2 binary64))
b_2
#s(literal -2 binary64)
(/.f64 (.f64 c (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a)) a)
(.f64 c (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a))
c
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a)
(/.f64 #s(literal -1/2 binary64) b_2)
#s(literal -1/2 binary64)
b_2
a
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) b_2)))
#s(literal 1 binary64)
(/.f64 a (-.f64 (sqrt.f64 (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) b_2))
a
(-.f64 (sqrt.f64 (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) b_2)
(sqrt.f64 (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c))))
(neg.f64 (fma.f64 b_2 b_2 (*.f64 a c)))
(fma.f64 b_2 b_2 (*.f64 a c))
b_2
(*.f64 a c)
c

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

localize98.0ms (1%)

Memory

5.9MiB live, 83.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (sqrt.f64 (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) b_2)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) b_2)))
✓	accuracy	99.8%	(/.f64 a (-.f64 (sqrt.f64 (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) b_2))
✓	accuracy	88.4%	(sqrt.f64 (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c))))
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) b_2)
✓	accuracy	99.9%	(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a)
✓	accuracy	97.7%	(.f64 c (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a))
✓	accuracy	93.7%	(/.f64 (.f64 c (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a)) a)
✓	accuracy	100.0%	(/.f64 a (*.f64 b_2 #s(literal -2 binary64)))
✓	accuracy	100.0%	(*.f64 b_2 #s(literal -2 binary64))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) a)
✓	accuracy	99.9%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
✓	accuracy	100.0%	(/.f64 b_2 a)
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))

Samples

28.0ms	165×	0	invalid
22.0ms	91×	0	valid

Compiler

Compiled 141 to 27 computations (80.9% saved)

Precisions

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

ival-div: 12.0ms (43.2% of total)

ival-mult: 10.0ms (36% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

series47.0ms (0.5%)

Memory

-12.4MiB live, 61.2MiB allocated

Counts

15 → 396

Calls

Call 1

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

Calls

99 calls:

Time	Variable		Point	Expression
19.0ms	b_2	@	-inf	(/ b_2 a)
3.0ms	b_2	@	0	(- (sqrt (neg (+ (* b_2 b_2) (* a c)))) b_2)
3.0ms	a	@	0	(/ a (- (sqrt (neg (+ (* b_2 b_2) (* a c)))) b_2))
1.0ms	b_2	@	inf	(/ a (- (sqrt (neg (+ (* b_2 b_2) (* a c)))) b_2))
1.0ms	b_2	@	-inf	(/ a (- (sqrt (neg (+ (* b_2 b_2) (* a c)))) b_2))

rewrite334.0ms (3.4%)

Memory

-8.7MiB live, 503.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 856×	`lower-fma.f32`
5 854×	`lower-fma.f64`
5 066×	`lower-*.f32`
5 054×	`lower-*.f64`
3 516×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	99
0	43	97
1	145	95
2	842	91
0	8433	91

Stop Event

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

Counts

15 → 1 081

Calls

Call 1

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

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

simplify467.0ms (4.8%)

Memory

25.1MiB live, 679.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10 800×	`lower-fma.f64`
10 800×	`lower-fma.f32`
9 204×	`lower-*.f64`
9 204×	`lower-*.f32`
4 202×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	811	6570
1	2724	6295
0	8809	6112

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

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

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

eval211.0ms (2.2%)

Memory: -17.4MiB live, 333.7MiB allocated
Compiler: Compiled 28 559 to 3 345 computations (88.3% saved)

prune208.0ms (2.1%)

Memory

13.2MiB live, 406.6MiB allocated

Pruning

34 alts after pruning (28 fresh and 6 done)

	Pruned	Kept	Total
New	1 455	22	1 477
Fresh	8	6	14
Picked	1	4	5
Done	0	2	2
Total	1 464	34	1 498

Accuracy

88.4%

Counts

1 498 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.8%	(pow.f64 (pow.f64 (/.f64 a (*.f64 #s(literal -2 binary64) b_2)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
▶	16.2%	(pow.f64 (.f64 (/.f64 a (.f64 #s(literal -2 binary64) b_2)) (/.f64 a (*.f64 #s(literal -2 binary64) b_2))) #s(literal -1/2 binary64))
	23.2%	(/.f64 (/.f64 (-.f64 (neg.f64 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 b_2 b_2)) a) (+.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c))))))
	28.1%	(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) b_2) c) (/.f64 #s(literal -2 binary64) a)) a)
	23.6%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) b_2)))
	19.4%	(/.f64 (-.f64 (neg.f64 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 b_2 b_2)) (.f64 a (+.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 b_2 b_2 (.f64 a c)))))))
▶	23.5%	(/.f64 (+.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))) a)
✓	48.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	32.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 c (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64))))) a)
▶	30.6%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
✓	25.2%	(/.f64 (.f64 c (.f64 (/.f64 #s(literal -1/2 binary64) b_2) a)) a)
	26.0%	(/.f64 (.f64 c (.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 a))
	14.0%	(/.f64 (.f64 c (exp.f64 (.f64 (log.f64 (/.f64 (*.f64 #s(literal -2 binary64) b_2) a)) #s(literal -1 binary64)))) a)
✓	31.4%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
	23.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (-.f64 (neg.f64 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 b_2 b_2))) (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c))))))))
	31.4%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) b_2) c))
✓	23.6%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) b_2)))
	33.4%	(/.f64 #s(literal 1 binary64) (/.f64 a (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) b_2)) #s(literal -1 binary64)))))
	23.6%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 b_2 b_2 (.f64 a c)))) b_2)) a))
	37.0%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a))
▶	37.0%	(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
	23.7%	(-.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) a) (/.f64 b_2 a))
	23.6%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 b_2 b_2 (.f64 a c)))) b_2))
▶	31.4%	(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
✓	37.0%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
	15.4%	(.f64 (.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))) b_2)
	14.5%	(.f64 (exp.f64 (.f64 (log.f64 (*.f64 a #s(literal -1/2 binary64))) #s(literal -1 binary64))) b_2)
	25.7%	(.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 a)) c))
	26.0%	(.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 c a)))
✓	37.1%	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
	14.5%	(.f64 #s(literal -2 binary64) (exp.f64 (.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64))))
	36.4%	(neg.f64 (.f64 b_2 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a))))
	15.1%	(exp.f64 (.f64 (log.f64 (/.f64 (.f64 #s(literal -2 binary64) b_2) c)) #s(literal -1 binary64)))
	20.3%	(exp.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 a (.f64 #s(literal -2 binary64) b_2)))))

Compiler

Compiled 939 to 613 computations (34.7% saved)

simplify479.0ms (4.9%)

Memory

0.1MiB live, 157.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

2 672×	`lower-fma.f32`
2 670×	`lower-fma.f64`
2 424×	`lower-*.f32`
2 414×	`lower-*.f64`
1 648×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	166
0	50	166
1	75	162
2	125	158
3	216	158
4	310	158
5	449	158
6	691	158
7	1090	158
8	1678	158
9	2910	158
10	4643	158
11	5816	158
12	5957	158
13	6025	158
14	6061	158
15	6197	158
16	6438	158
17	6536	158
18	6693	158
19	6721	158
20	6726	158
21	6738	158
22	6768	158
23	6768	158
24	7163	158
25	7335	158
26	7383	158
27	7481	158
28	7495	158
29	7495	158
30	7515	158
31	7619	158
32	7633	158
33	7643	158
34	7737	158
35	7931	158
0	8007	158

Stop Event

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

Calls

Call 1

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

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

localize123.0ms (1.3%)

Memory

-15.2MiB live, 153.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 a (*.f64 #s(literal -2 binary64) b_2))
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) b_2)
✓	accuracy	99.9%	(.f64 (/.f64 a (.f64 #s(literal -2 binary64) b_2)) (/.f64 a (*.f64 #s(literal -2 binary64) b_2)))
✓	accuracy	90.3%	(pow.f64 (.f64 (/.f64 a (.f64 #s(literal -2 binary64) b_2)) (/.f64 a (*.f64 #s(literal -2 binary64) b_2))) #s(literal -1/2 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal -1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))
✓	accuracy	99.9%	(/.f64 (+.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))) a)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))
✓	accuracy	88.3%	(sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))
✓	accuracy	100.0%	(neg.f64 a)
✓	accuracy	100.0%	(+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a))))
✓	accuracy	99.9%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
✓	accuracy	88.4%	(sqrt.f64 (*.f64 c (neg.f64 a)))
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) b_2)
✓	accuracy	99.9%	(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
✓	accuracy	100.0%	(/.f64 a b_2)
✓	accuracy	99.2%	(/.f64 #s(literal -2 binary64) (/.f64 a b_2))

Samples

41.0ms	91×	0	valid
41.0ms	165×	0	invalid

Compiler

Compiled 174 to 31 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 27.0ms (45.7% of total)

ival-div: 13.0ms (22% of total)

ival-pow: 10.0ms (16.9% of total)

ival-add: 3.0ms (5.1% of total)

ival-sqrt: 3.0ms (5.1% of total)

ival-neg: 2.0ms (3.4% of total)

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

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

exact: 0.0ms (0% of total)

series42.0ms (0.4%)

Memory

-8.3MiB live, 72.5MiB allocated

Counts

18 → 468

Calls

Call 1

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

Calls

117 calls:

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

rewrite269.0ms (2.8%)

Memory

28.0MiB live, 367.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 134×	`lower-fma.f32`
5 132×	`lower-fma.f64`
3 730×	`lower-*.f32`
3 720×	`lower-*.f64`
1 968×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	133
0	50	121
1	182	114
2	1210	103
0	9823	103

Stop Event

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

Counts

18 → 1 040

Calls

Call 1

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

simplify514.0ms (5.3%)

Memory

10.0MiB live, 789.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10 650×	`lower-fma.f64`
10 650×	`lower-fma.f32`
8 278×	`lower-*.f64`
8 278×	`lower-*.f32`
4 402×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	804	7252
1	2656	7037
0	8314	6800

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

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

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

eval198.0ms (2%)

Memory: -4.4MiB live, 331.6MiB allocated
Compiler: Compiled 29 581 to 3 835 computations (87% saved)

prune266.0ms (2.7%)

Memory

-5.3MiB live, 364.3MiB allocated

Pruning

28 alts after pruning (22 fresh and 6 done)

	Pruned	Kept	Total
New	1 633	18	1 651
Fresh	19	4	23
Picked	3	2	5
Done	2	4	6
Total	1 657	28	1 685

Accuracy

99.7%

Counts

1 685 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	12.8%	(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 c)) (sqrt.f64 (*.f64 (neg.f64 a) (sqrt.f64 c))) b_2) a)
	19.9%	(/.f64 (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) b_2) a)
	15.4%	(/.f64 (fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c) b_2) a)
	25.9%	(/.f64 (fma.f64 a c (.f64 b_2 b_2)) (neg.f64 (.f64 (+.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))
	24.1%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
	30.6%	(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a)
	22.1%	(/.f64 (+.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a))) a)
	17.6%	(/.f64 (+.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a)
✓	48.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	26.0%	(/.f64 (.f64 c (.f64 a #s(literal -1/2 binary64))) (*.f64 b_2 a))
	11.3%	(/.f64 (*.f64 c #s(literal 1/2 binary64)) b_2)
✓	31.4%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
	13.1%	(/.f64 (neg.f64 b_2) a)
	2.5%	(/.f64 #s(literal 2 binary64) (/.f64 a b_2))
	31.4%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) b_2) c))
	24.1%	(/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))
	37.0%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a))
	2.5%	(/.f64 #s(literal -1 binary64) (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)))
✓	37.0%	(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
	30.6%	(-.f64 (/.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) a) (/.f64 b_2 a))
	2.5%	(*.f64 (/.f64 b_2 a) #s(literal 2 binary64))
	2.5%	(*.f64 (/.f64 #s(literal 2 binary64) a) b_2)
	24.1%	(.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))
	11.3%	(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)
✓	31.4%	(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
✓	37.0%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
	25.7%	(.f64 a (.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 a)) c))
✓	37.1%	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))

Compiler

Compiled 1 120 to 450 computations (59.8% saved)

regimes140.0ms (1.4%)

Memory

22.5MiB live, 142.2MiB allocated

Counts

69 → 3

Calls

Call 1

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

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:

53.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
40.0ms	b_2
24.0ms	a
19.0ms	c

Results

Accuracy	Segments	Branch
57.0%	4	`a`
83.5%	3	`b_2`
58.5%	5	`c`
74.4%	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)

regimes20.0ms (0.2%)

Memory

-19.8MiB live, 16.7MiB allocated

Counts

32 → 3

Calls

Call 1

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

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:

18.0ms

b_2

Results

Accuracy	Segments	Branch
80.0%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Memory

22.7MiB live, 22.7MiB allocated

Counts

22 → 2

Calls

Call 1

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

2 calls:

7.0ms	b_2
6.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
50.8%	3	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
66.2%	2	`b_2`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes13.0ms (0.1%)

Memory

-33.3MiB live, 6.3MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

b_2

Results

Accuracy	Segments	Branch
66.1%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
37.1%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
37.1%	1	`c`
37.1%	1	`a`
37.1%	1	`b_2`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes5.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
13.1%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
13.1%	1	`a`
13.1%	1	`b_2`
13.1%	1	`c`

Compiler

Compiled 28 to 19 computations (32.1% saved)

bsearch82.0ms (0.8%)

Memory

5.9MiB live, 52.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
73.0ms	3.3471457622267594e-143	4.8094671521572234e-126
5.0ms	-1.2836674453795325e+152	-8.419474985451623e+144

Samples

53.0ms	49×	0	invalid
11.0ms	170×	0	valid
4.0ms	33×	1	valid
1.0ms	4×	2	valid
0.0ms	1×	3	valid

Compiler

Compiled 357 to 250 computations (30% saved)

Precisions

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

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

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

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

adjust: 1.0ms (8% of total)

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

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

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

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

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

bsearch80.0ms (0.8%)

Memory

-32.2MiB live, 44.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	3.3471457622267594e-143	4.8094671521572234e-126
35.0ms	-1.4287047365680171e-92	-8.271233527994476e-97

Samples

36.0ms	256×	0	valid
6.0ms	92×	0	invalid
3.0ms	26×	1	valid
1.0ms	5×	2	valid
0.0ms	1×	3	valid

Compiler

Compiled 415 to 304 computations (26.7% saved)

Precisions

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

ival-mult: 24.0ms (66.1% of total)

ival-div: 3.0ms (8.3% of total)

ival-sqrt: 3.0ms (8.3% of total)

ival-sub: 2.0ms (5.5% of total)

ival-neg: 2.0ms (5.5% of total)

ival-add: 2.0ms (5.5% of total)

adjust: 1.0ms (2.8% of total)

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

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

bsearch24.0ms (0.2%)

Memory

14.3MiB live, 14.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	2.0874142740630247e-307	3.382806229267712e-302

Samples

9.0ms	144×	0	valid
5.0ms	77×	0	invalid

Compiler

Compiled 181 to 142 computations (21.5% saved)

Precisions

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

ival-mult: 2.0ms (23.6% of total)

ival-sub: 1.0ms (11.8% of total)

ival-div: 1.0ms (11.8% of total)

ival-add: 1.0ms (11.8% of total)

ival-sqrt: 1.0ms (11.8% of total)

ival-neg: 1.0ms (11.8% of total)

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

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

bsearch22.0ms (0.2%)

Memory

11.4MiB live, 11.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.0874142740630247e-307	3.382806229267712e-302

Samples

9.0ms	144×	0	valid
4.0ms	57×	0	invalid

Compiler

Compiled 181 to 142 computations (21.5% saved)

Precisions

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

ival-mult: 2.0ms (25.8% of total)

ival-sub: 1.0ms (12.9% of total)

ival-div: 1.0ms (12.9% of total)

ival-add: 1.0ms (12.9% of total)

ival-sqrt: 1.0ms (12.9% of total)

ival-neg: 1.0ms (12.9% of total)

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

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

simplify8.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB 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	40	95
1	60	94
2	75	94
3	83	94
4	86	94

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -499999999999999988998191202828830087182411944733900540386126622484631969614553746213463024711630256984884134207768538734419216153365573197681917952 binary64)) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (if (<=.f64 b_2 #s(literal 3536355779654835/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 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 -2465969711912525/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744 binary64)) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (if (<=.f64 b_2 #s(literal 7621456421669903/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 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 664132393664613/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856 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 664132393664613/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856 binary64)) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(/.f64 (neg.f64 b_2) a)

Outputs
(if (<=.f64 b_2 #s(literal -499999999999999988998191202828830087182411944733900540386126622484631969614553746213463024711630256984884134207768538734419216153365573197681917952 binary64)) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (if (<=.f64 b_2 #s(literal 3536355779654835/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 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 -499999999999999988998191202828830087182411944733900540386126622484631969614553746213463024711630256984884134207768538734419216153365573197681917952 binary64)) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (if (<=.f64 b_2 #s(literal 3536355779654835/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 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 -2465969711912525/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744 binary64)) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (if (<=.f64 b_2 #s(literal 7621456421669903/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 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 -2465969711912525/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744 binary64)) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (if (<=.f64 b_2 #s(literal 7621456421669903/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) (/.f64 (-.f64 (sqrt.f64 (.f64 c (neg.f64 a))) b_2) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal 664132393664613/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856 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 664132393664613/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856 binary64)) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
(if (<=.f64 b_2 #s(literal 664132393664613/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856 binary64)) (.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(/.f64 (neg.f64 b_2) a)
(/.f64 b_2 (neg.f64 a))

soundness1.1s (11.7%)

Memory

-122.7MiB live, 744.9MiB allocated

Rules

11 022×	`lower-fma.f64`
11 022×	`lower-fma.f32`
10 650×	`lower-fma.f64`
10 650×	`lower-fma.f32`
8 916×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	130
0	45	122
1	174	114
0	1306	114
0	804	7252
1	2656	7037
0	8314	6800
0	648	5872
1	2061	5785
2	6866	5747
0	8242	5550
0	10	41
0	17	41
1	64	39
2	463	38
3	5888	38
0	8611	34
0	28	133
0	50	121
1	182	114
2	1210	103
0	9823	103
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×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 271 to 165 computations (39.1% saved)

preprocess104.0ms (1.1%)

Memory: 6.1MiB live, 248.0MiB allocated
Compiler: Compiled 410 to 150 computations (63.4% 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

analyze140.0ms (1.4%)

sample1.8s (18.6%)

preprocess117.0ms (1.2%)

explain166.0ms (1.7%)

eval0.0ms (0%)

prune3.0ms (0%)

simplify37.0ms (0.4%)

localize41.0ms (0.4%)

series26.0ms (0.3%)

rewrite275.0ms (2.8%)

simplify454.0ms (4.7%)

eval69.0ms (0.7%)

prune103.0ms (1.1%)

simplify285.0ms (2.9%)

localize140.0ms (1.4%)

series40.0ms (0.4%)

rewrite108.0ms (1.1%)

simplify488.0ms (5%)

eval214.0ms (2.2%)

prune123.0ms (1.3%)

simplify178.0ms (1.8%)

localize98.0ms (1%)

series47.0ms (0.5%)

rewrite334.0ms (3.4%)

simplify467.0ms (4.8%)

eval211.0ms (2.2%)

prune208.0ms (2.1%)

simplify479.0ms (4.9%)

localize123.0ms (1.3%)

series42.0ms (0.4%)

rewrite269.0ms (2.8%)

simplify514.0ms (5.3%)

eval198.0ms (2%)

prune266.0ms (2.7%)

regimes140.0ms (1.4%)

regimes20.0ms (0.2%)

regimes14.0ms (0.1%)

regimes13.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch82.0ms (0.8%)

bsearch80.0ms (0.8%)

bsearch24.0ms (0.2%)

bsearch22.0ms (0.2%)

simplify8.0ms (0.1%)

soundness1.1s (11.7%)

preprocess104.0ms (1.1%)

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