Metrics for quad2p (problem 3.2.1, positive)

analyze113.0ms (1%)

Memory

1.2MiB live, 195.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 12 computations (20% saved)

sample1.4s (12.9%)

Memory

32.8MiB live, 2 038.5MiB allocated

Samples

419.0ms	5 586×	0	valid
326.0ms	1 162×	2	valid
196.0ms	1 323×	1	valid
79.0ms	1 031×	0	invalid
46.0ms	185×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 762.0ms

ival-mult: 181.0ms (23.8% of total)

ival-div: 139.0ms (18.2% of total)

ival-sqrt: 105.0ms (13.8% of total)

ival-neg: 92.0ms (12.1% of total)

ival-add: 84.0ms (11% of total)

ival-sub: 77.0ms (10.1% of total)

adjust: 71.0ms (9.3% of total)

ival-true: 8.0ms (1% of total)

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

Bogosity

preprocess116.0ms (1.1%)

Memory

20.7MiB live, 59.3MiB 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)

explain169.0ms (1.5%)

Memory

-37.8MiB live, 250.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
256	0	-	196	(-1.9959289098597736e+102 5.97018197409157e+121 1.735278739525107e+229)	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
256	0	-	256	(-1.9959289098597736e+102 5.97018197409157e+121 1.735278739525107e+229)	`(neg.f64 b_2)`
256	0	-	242	(-1.9959289098597736e+102 5.97018197409157e+121 1.735278739525107e+229)	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
256	0	-	256	(-1.9959289098597736e+102 5.97018197409157e+121 1.735278739525107e+229)	`(*.f64 b_2 b_2)`
247	9	(-4.786851145022785e+225 -1.2451797085984267e+196 -5.257288766142802e+107)	149	(4.0549563844977965e+245 5.0202207969826495e-180 -1.4829443906999126e-265)	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
247	0	-	247	(-1.9959289098597736e+102 5.97018197409157e+121 1.735278739525107e+229)	`(*.f64 a c)`
70	0	-	69	(-1.9959289098597736e+102 5.97018197409157e+121 1.735278739525107e+229)	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`
0	0	-	0	-	`a`
0	0	-	0	-	`b_2`
0	0	-	0	-	`c`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	oflow-rescue	99	0
↳	`(*.f64 b_2 b_2)`	overflow	90
↳	`(*.f64 a c)`	overflow	12
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	overflow	99
`+.f64`	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	cancellation	60	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`	u/n	14	0
↳	`(*.f64 b_2 b_2)`	underflow	41
↳	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	underflow	36
↳	`(*.f64 a c)`	underflow	48
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	8
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	uflow-rescue	8	0
↳	`(*.f64 b_2 b_2)`	underflow	41
↳	`(*.f64 a c)`	underflow	48
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	8
`-.f64`	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	nan-rescue	1	0
↳	`(*.f64 b_2 b_2)`	overflow	90
↳	`(*.f64 a c)`	overflow	12

Confusion

	Predicted +	Predicted -
+	132	2
-	17	105

Precision

0.8859060402684564

Recall

0.9850746268656716

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	132	0	2
-	17	0	105

Precision?

0.8859060402684564

Recall?

0.9850746268656716

Freqs

test

number	freq
0	107
1	116
2	33

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms	320×	0	valid
21.0ms	92×	2	valid
11.0ms	78×	1	valid
6.0ms	22×	3	valid

Compiler

Compiled 189 to 54 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

adjust: 8.0ms (20.4% of total)

ival-mult: 8.0ms (20.4% of total)

ival-sqrt: 7.0ms (17.8% of total)

ival-div: 6.0ms (15.3% of total)

ival-sub: 4.0ms (10.2% of total)

ival-add: 4.0ms (10.2% of total)

ival-neg: 2.0ms (5.1% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.0%	(/.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)

simplify38.0ms (0.3%)

Memory

8.6MiB live, 45.3MiB 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

localize43.0ms (0.4%)

Memory

19.6MiB live, 58.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	5.9%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
✓	accuracy	4.0%	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	accuracy	3.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	accuracy	1.8%	(neg.f64 b_2)

Samples

12.0ms	160×	0	valid
9.0ms	46×	2	valid
5.0ms	39×	1	valid
5.0ms	11×	3	valid

Compiler

Compiled 105 to 22 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-sqrt: 6.0ms (29.7% of total)

ival-mult: 4.0ms (19.8% of total)

ival-div: 3.0ms (14.8% of total)

ival-sub: 2.0ms (9.9% of total)

adjust: 2.0ms (9.9% of total)

ival-add: 2.0ms (9.9% of total)

ival-neg: 1.0ms (4.9% of total)

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

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

series20.0ms (0.2%)

Memory

-9.4MiB live, 29.0MiB allocated

Counts

4 → 120

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)))>

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))) (/ (pow b_2 2) (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (- 1 (/ 1 b_2)))>
#<alt (* (pow b_2 2) (- (+ 1 (* -1/2 (/ (* a c) (pow b_2 4)))) (/ 1 b_2)))>
#<alt (* (pow b_2 2) (- (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 4))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 8))))) (/ 1 b_2)))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (- 1 (/ 1 b_2)))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ (* a c) (pow b_2 3)))) b_2))))>
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))) (pow b_2 3)))) b_2))))>
#<alt (- (sqrt (pow b_2 3)) b_2)>
#<alt (- (+ (sqrt (pow b_2 3)) (* -1/2 (* (* a c) (sqrt (/ 1 (pow b_2 3)))))) b_2)>
#<alt (- (+ (sqrt (pow b_2 3)) (* a (+ (* -1/2 (* (sqrt (/ 1 (pow b_2 3))) c)) (* -1/8 (* (* a (pow c 2)) (sqrt (/ 1 (pow b_2 9)))))))) b_2)>
#<alt (- (+ (sqrt (pow b_2 3)) (* a (+ (* -1/2 (* (sqrt (/ 1 (pow b_2 3))) c)) (* a (+ (* -1/8 (* (sqrt (/ 1 (pow b_2 9))) (pow c 2))) (* -1/16 (* (* a (pow c 3)) (sqrt (/ 1 (pow b_2 15)))))))))) 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 3) (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 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 3) (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 3) (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 6) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 3) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (- (sqrt (pow b_2 3)) b_2)>
#<alt (- (+ (sqrt (pow b_2 3)) (* -1/2 (* (* a c) (sqrt (/ 1 (pow b_2 3)))))) b_2)>
#<alt (- (+ (sqrt (pow b_2 3)) (* c (+ (* -1/2 (* a (sqrt (/ 1 (pow b_2 3))))) (* -1/8 (* (* (pow a 2) c) (sqrt (/ 1 (pow b_2 9)))))))) b_2)>
#<alt (- (+ (sqrt (pow b_2 3)) (* c (+ (* -1/2 (* a (sqrt (/ 1 (pow b_2 3))))) (* c (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b_2 9))))) (* -1/16 (* (* (pow a 3) c) (sqrt (/ 1 (pow b_2 15)))))))))) b_2)>
#<alt (* (sqrt c) (sqrt -1))>
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ 1 c)) (sqrt -1))))>
#<alt (* c (- (+ (* 1/2 (* (/ (pow b_2 3) (sqrt -1)) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (sqrt -1))) (/ b_2 c)))>
#<alt (* c (- (+ (* -1/8 (* (/ (pow b_2 6) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow c 5))))) (+ (* 1/2 (* (/ (pow b_2 3) (sqrt -1)) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (sqrt -1)))) (/ b_2 c)))>
#<alt (* -1 (* (sqrt c) (sqrt -1)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 c)) (sqrt -1)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (* (pow b_2 3) (sqrt -1)) (sqrt (/ 1 c)))) b_2) c)) (* (sqrt (/ 1 c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (* (pow b_2 6) (sqrt -1)) (sqrt (/ 1 c)))) (* 1/2 (* (* (pow b_2 3) (sqrt -1)) (sqrt c)))) c)) b_2) c)) (* (sqrt (/ 1 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))) (/ (pow b_2 2) (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* b_2 (- (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (/ (pow b_2 2) a)>
#<alt (* (pow b_2 2) (- (/ 1 a) (/ 1 (* a b_2))))>
#<alt (* (pow b_2 2) (- (+ (* -1/2 (/ c (pow b_2 4))) (/ 1 a)) (/ 1 (* a b_2))))>
#<alt (* (pow b_2 2) (- (+ (* -1/2 (/ c (pow b_2 4))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 8))) (/ 1 a))) (/ 1 (* a b_2))))>
#<alt (/ (pow b_2 2) a)>
#<alt (* (pow b_2 2) (- (/ 1 a) (/ 1 (* a b_2))))>
#<alt (* (pow b_2 2) (+ (* -1 (/ (+ (* 1/2 (/ c (pow b_2 3))) (/ 1 a)) b_2)) (/ 1 a)))>
#<alt (* (pow b_2 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 4)))) (pow b_2 3))) (/ 1 a)) b_2)) (/ 1 a)))>
#<alt (/ (- (sqrt (pow b_2 3)) b_2) a)>
#<alt (/ (- (+ (sqrt (pow b_2 3)) (* -1/2 (* (* a c) (sqrt (/ 1 (pow b_2 3)))))) b_2) a)>
#<alt (/ (- (+ (sqrt (pow b_2 3)) (* a (+ (* -1/2 (* (sqrt (/ 1 (pow b_2 3))) c)) (* -1/8 (* (* a (pow c 2)) (sqrt (/ 1 (pow b_2 9)))))))) b_2) a)>
#<alt (/ (- (+ (sqrt (pow b_2 3)) (* a (+ (* -1/2 (* (sqrt (/ 1 (pow b_2 3))) c)) (* a (+ (* -1/8 (* (sqrt (/ 1 (pow b_2 9))) (pow c 2))) (* -1/16 (* (* a (pow c 3)) (sqrt (/ 1 (pow b_2 15)))))))))) 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 3) (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 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 3) (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 4) (sqrt -1))))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 8) (sqrt -1))))) a))) a)))>
#<alt (/ (- (sqrt (pow b_2 3)) b_2) a)>
#<alt (- (+ (* -1/2 (* (sqrt (/ 1 (pow b_2 3))) c)) (* (/ 1 a) (sqrt (pow b_2 3)))) (/ b_2 a))>
#<alt (- (+ (* c (+ (* -1/2 (sqrt (/ 1 (pow b_2 3)))) (* -1/8 (* (* a c) (sqrt (/ 1 (pow b_2 9))))))) (* (/ 1 a) (sqrt (pow b_2 3)))) (/ b_2 a))>
#<alt (- (+ (* c (+ (* -1/2 (sqrt (/ 1 (pow b_2 3)))) (* c (+ (* -1/8 (* a (sqrt (/ 1 (pow b_2 9))))) (* -1/16 (* (* (pow a 2) c) (sqrt (/ 1 (pow b_2 15))))))))) (* (/ 1 a) (sqrt (pow b_2 3)))) (/ b_2 a))>
#<alt (* (/ (sqrt -1) a) (sqrt c))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (/ (sqrt -1) a) (sqrt (/ 1 c)))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (/ (pow b_2 3) (* a (sqrt -1))) (sqrt (/ 1 (pow c 3))))) (* (/ (sqrt -1) a) (sqrt (/ 1 c))))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (/ (pow b_2 6) (* a (pow (sqrt -1) 3))) (sqrt (/ 1 (pow c 5))))) (+ (* 1/2 (* (/ (pow b_2 3) (* a (sqrt -1))) (sqrt (/ 1 (pow c 3))))) (* (/ (sqrt -1) a) (sqrt (/ 1 c)))))))>
#<alt (* -1 (* (/ (sqrt -1) a) (sqrt c)))>
#<alt (* -1 (* c (+ (* (/ (sqrt -1) a) (sqrt (/ 1 c))) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (/ (* (pow b_2 3) (sqrt -1)) a) (sqrt (/ 1 c))))) c)) (* (/ (sqrt -1) a) (sqrt (/ 1 c))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (/ (* (pow b_2 6) (sqrt -1)) a) (sqrt (/ 1 c)))) (* 1/2 (* (/ (* (pow b_2 3) (sqrt -1)) a) (sqrt c)))) c))) c)) (* (/ (sqrt -1) a) (sqrt (/ 1 c))))))>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 3) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 3) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 3) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 3) (+ (* -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 3) (pow (sqrt -1) 5)))))))))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (* -1/2 (/ (* a c) (pow b_2 4)))))>
#<alt (* (pow b_2 2) (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 4))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 8))))))>
#<alt (* (pow b_2 2) (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 4))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 8))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 12)))))))>
#<alt (pow b_2 2)>
#<alt (* (pow b_2 2) (+ 1 (* -1/2 (/ (* a c) (pow b_2 4)))))>
#<alt (* (pow b_2 2) (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 4))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 8))))))>
#<alt (* (pow b_2 2) (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 4))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 8))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 12)))))))>
#<alt (sqrt (pow b_2 3))>
#<alt (+ (sqrt (pow b_2 3)) (* -1/2 (* (* a c) (sqrt (/ 1 (pow b_2 3))))))>
#<alt (+ (sqrt (pow b_2 3)) (* a (+ (* -1/2 (* (sqrt (/ 1 (pow b_2 3))) c)) (* -1/8 (* (* a (pow c 2)) (sqrt (/ 1 (pow b_2 9))))))))>
#<alt (+ (sqrt (pow b_2 3)) (* a (+ (* -1/2 (* (sqrt (/ 1 (pow b_2 3))) c)) (* a (+ (* -1/8 (* (sqrt (/ 1 (pow b_2 9))) (pow c 2))) (* -1/16 (* (* a (pow c 3)) (sqrt (/ 1 (pow b_2 15))))))))))>
#<alt (* (sqrt (* a c)) (sqrt -1))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 3) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 3) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 9) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 3) (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 3) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 3) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 9) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 3) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt (sqrt (pow b_2 3))>
#<alt (+ (sqrt (pow b_2 3)) (* -1/2 (* (* a c) (sqrt (/ 1 (pow b_2 3))))))>
#<alt (+ (sqrt (pow b_2 3)) (* c (+ (* -1/2 (* a (sqrt (/ 1 (pow b_2 3))))) (* -1/8 (* (* (pow a 2) c) (sqrt (/ 1 (pow b_2 9))))))))>
#<alt (+ (sqrt (pow b_2 3)) (* c (+ (* -1/2 (* a (sqrt (/ 1 (pow b_2 3))))) (* c (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b_2 9))))) (* -1/16 (* (* (pow a 3) c) (sqrt (/ 1 (pow b_2 15))))))))))>
#<alt (* (sqrt c) (sqrt -1))>
#<alt (* c (+ (* 1/2 (* (/ (pow b_2 3) (sqrt -1)) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (sqrt -1))))>
#<alt (* c (+ (* -1/8 (* (/ (pow b_2 6) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow c 5))))) (+ (* 1/2 (* (/ (pow b_2 3) (sqrt -1)) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (sqrt -1)))))>
#<alt (* c (+ (* -1/8 (* (/ (pow b_2 6) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow c 5))))) (+ (* 1/16 (* (/ (pow b_2 9) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow c 7))))) (+ (* 1/2 (* (/ (pow b_2 3) (sqrt -1)) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt c) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (* (* (pow b_2 3) (sqrt -1)) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1/8 (* (* (pow b_2 6) (sqrt -1)) (sqrt (/ 1 (pow c 5))))) (+ (* 1/2 (* (* (pow b_2 3) (sqrt -1)) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/8 (* (* (pow b_2 6) (sqrt -1)) (sqrt (/ 1 (pow c 5))))) (+ (* 1/16 (* (* (pow b_2 9) (sqrt -1)) (sqrt (/ 1 (pow c 7))))) (+ (* 1/2 (* (* (pow b_2 3) (sqrt -1)) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (sqrt -1)))))))>

Calls

30 calls:

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

Compiler

Compiled 397 to 281 computations (29.2% saved)

rewrite264.0ms (2.4%)

Memory

32.7MiB live, 301.5MiB 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	34
0	17	34
1	64	32
2	463	31
3	5888	31
0	8611	28

Stop Event

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

Counts

4 → 281

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)))

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

simplify751.0ms (6.8%)

Memory

-24.7MiB live, 732.7MiB allocated

Algorithm

1×	egg-herbie

Rules

16 422×	`lower-fma.f64`
16 422×	`lower-fma.f32`
6 448×	`lower-*.f64`
6 448×	`lower-*.f32`
5 200×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	479	2877
1	1474	2827
2	4985	2782
0	8293	2655

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

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))) (/ (pow b_2 2) (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(+ (* b_2 (- (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(pow b_2 2)
(* (pow b_2 2) (- 1 (/ 1 b_2)))
(* (pow b_2 2) (- (+ 1 (* -1/2 (/ (* a c) (pow b_2 4)))) (/ 1 b_2)))
(* (pow b_2 2) (- (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 4))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 8))))) (/ 1 b_2)))
(pow b_2 2)
(* (pow b_2 2) (- 1 (/ 1 b_2)))
(* (pow b_2 2) (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ (* a c) (pow b_2 3)))) b_2))))
(* (pow b_2 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))) (pow b_2 3)))) b_2))))
(- (sqrt (pow b_2 3)) b_2)
(- (+ (sqrt (pow b_2 3)) (* -1/2 (* (* a c) (sqrt (/ 1 (pow b_2 3)))))) b_2)
(- (+ (sqrt (pow b_2 3)) (* a (+ (* -1/2 (* (sqrt (/ 1 (pow b_2 3))) c)) (* -1/8 (* (* a (pow c 2)) (sqrt (/ 1 (pow b_2 9)))))))) b_2)
(- (+ (sqrt (pow b_2 3)) (* a (+ (* -1/2 (* (sqrt (/ 1 (pow b_2 3))) c)) (* a (+ (* -1/8 (* (sqrt (/ 1 (pow b_2 9))) (pow c 2))) (* -1/16 (* (* a (pow c 3)) (sqrt (/ 1 (pow b_2 15)))))))))) 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 3) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 3) (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 3) (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 6) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 3) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(- (sqrt (pow b_2 3)) b_2)
(- (+ (sqrt (pow b_2 3)) (* -1/2 (* (* a c) (sqrt (/ 1 (pow b_2 3)))))) b_2)
(- (+ (sqrt (pow b_2 3)) (* c (+ (* -1/2 (* a (sqrt (/ 1 (pow b_2 3))))) (* -1/8 (* (* (pow a 2) c) (sqrt (/ 1 (pow b_2 9)))))))) b_2)
(- (+ (sqrt (pow b_2 3)) (* c (+ (* -1/2 (* a (sqrt (/ 1 (pow b_2 3))))) (* c (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b_2 9))))) (* -1/16 (* (* (pow a 3) c) (sqrt (/ 1 (pow b_2 15)))))))))) b_2)
(* (sqrt c) (sqrt -1))
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ 1 c)) (sqrt -1))))
(* c (- (+ (* 1/2 (* (/ (pow b_2 3) (sqrt -1)) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (sqrt -1))) (/ b_2 c)))
(* c (- (+ (* -1/8 (* (/ (pow b_2 6) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow c 5))))) (+ (* 1/2 (* (/ (pow b_2 3) (sqrt -1)) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (sqrt -1)))) (/ b_2 c)))
(* -1 (* (sqrt c) (sqrt -1)))
(* -1 (* c (+ (* (sqrt (/ 1 c)) (sqrt -1)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (* (pow b_2 3) (sqrt -1)) (sqrt (/ 1 c)))) b_2) c)) (* (sqrt (/ 1 c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (* (pow b_2 6) (sqrt -1)) (sqrt (/ 1 c)))) (* 1/2 (* (* (pow b_2 3) (sqrt -1)) (sqrt c)))) c)) b_2) c)) (* (sqrt (/ 1 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))) (/ (pow b_2 2) (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* b_2 (- (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))
(/ (pow b_2 2) a)
(* (pow b_2 2) (- (/ 1 a) (/ 1 (* a b_2))))
(* (pow b_2 2) (- (+ (* -1/2 (/ c (pow b_2 4))) (/ 1 a)) (/ 1 (* a b_2))))
(* (pow b_2 2) (- (+ (* -1/2 (/ c (pow b_2 4))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 8))) (/ 1 a))) (/ 1 (* a b_2))))
(/ (pow b_2 2) a)
(* (pow b_2 2) (- (/ 1 a) (/ 1 (* a b_2))))
(* (pow b_2 2) (+ (* -1 (/ (+ (* 1/2 (/ c (pow b_2 3))) (/ 1 a)) b_2)) (/ 1 a)))
(* (pow b_2 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 4)))) (pow b_2 3))) (/ 1 a)) b_2)) (/ 1 a)))
(/ (- (sqrt (pow b_2 3)) b_2) a)
(/ (- (+ (sqrt (pow b_2 3)) (* -1/2 (* (* a c) (sqrt (/ 1 (pow b_2 3)))))) b_2) a)
(/ (- (+ (sqrt (pow b_2 3)) (* a (+ (* -1/2 (* (sqrt (/ 1 (pow b_2 3))) c)) (* -1/8 (* (* a (pow c 2)) (sqrt (/ 1 (pow b_2 9)))))))) b_2) a)
(/ (- (+ (sqrt (pow b_2 3)) (* a (+ (* -1/2 (* (sqrt (/ 1 (pow b_2 3))) c)) (* a (+ (* -1/8 (* (sqrt (/ 1 (pow b_2 9))) (pow c 2))) (* -1/16 (* (* a (pow c 3)) (sqrt (/ 1 (pow b_2 15)))))))))) 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 3) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 3) (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 4) (sqrt -1))))) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 8) (sqrt -1))))) a))) a)))
(/ (- (sqrt (pow b_2 3)) b_2) a)
(- (+ (* -1/2 (* (sqrt (/ 1 (pow b_2 3))) c)) (* (/ 1 a) (sqrt (pow b_2 3)))) (/ b_2 a))
(- (+ (* c (+ (* -1/2 (sqrt (/ 1 (pow b_2 3)))) (* -1/8 (* (* a c) (sqrt (/ 1 (pow b_2 9))))))) (* (/ 1 a) (sqrt (pow b_2 3)))) (/ b_2 a))
(- (+ (* c (+ (* -1/2 (sqrt (/ 1 (pow b_2 3)))) (* c (+ (* -1/8 (* a (sqrt (/ 1 (pow b_2 9))))) (* -1/16 (* (* (pow a 2) c) (sqrt (/ 1 (pow b_2 15))))))))) (* (/ 1 a) (sqrt (pow b_2 3)))) (/ b_2 a))
(* (/ (sqrt -1) a) (sqrt c))
(* c (+ (* -1 (/ b_2 (* a c))) (* (/ (sqrt -1) a) (sqrt (/ 1 c)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (/ (pow b_2 3) (* a (sqrt -1))) (sqrt (/ 1 (pow c 3))))) (* (/ (sqrt -1) a) (sqrt (/ 1 c))))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (/ (pow b_2 6) (* a (pow (sqrt -1) 3))) (sqrt (/ 1 (pow c 5))))) (+ (* 1/2 (* (/ (pow b_2 3) (* a (sqrt -1))) (sqrt (/ 1 (pow c 3))))) (* (/ (sqrt -1) a) (sqrt (/ 1 c)))))))
(* -1 (* (/ (sqrt -1) a) (sqrt c)))
(* -1 (* c (+ (* (/ (sqrt -1) a) (sqrt (/ 1 c))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (/ (* (pow b_2 3) (sqrt -1)) a) (sqrt (/ 1 c))))) c)) (* (/ (sqrt -1) a) (sqrt (/ 1 c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (/ (* (pow b_2 6) (sqrt -1)) a) (sqrt (/ 1 c)))) (* 1/2 (* (/ (* (pow b_2 3) (sqrt -1)) a) (sqrt c)))) c))) c)) (* (/ (sqrt -1) a) (sqrt (/ 1 c))))))
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* (sqrt (* a c)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 3) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 3) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 3) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 3) (+ (* -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 3) (pow (sqrt -1) 5)))))))))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1/2 (/ (* a c) (pow b_2 4)))))
(* (pow b_2 2) (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 4))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 8))))))
(* (pow b_2 2) (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 4))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 8))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 12)))))))
(pow b_2 2)
(* (pow b_2 2) (+ 1 (* -1/2 (/ (* a c) (pow b_2 4)))))
(* (pow b_2 2) (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 4))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 8))))))
(* (pow b_2 2) (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 4))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 8))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 12)))))))
(sqrt (pow b_2 3))
(+ (sqrt (pow b_2 3)) (* -1/2 (* (* a c) (sqrt (/ 1 (pow b_2 3))))))
(+ (sqrt (pow b_2 3)) (* a (+ (* -1/2 (* (sqrt (/ 1 (pow b_2 3))) c)) (* -1/8 (* (* a (pow c 2)) (sqrt (/ 1 (pow b_2 9))))))))
(+ (sqrt (pow b_2 3)) (* a (+ (* -1/2 (* (sqrt (/ 1 (pow b_2 3))) c)) (* a (+ (* -1/8 (* (sqrt (/ 1 (pow b_2 9))) (pow c 2))) (* -1/16 (* (* a (pow c 3)) (sqrt (/ 1 (pow b_2 15))))))))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 3) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 3) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 9) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 3) (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 3) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 3) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 9) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 3) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
(sqrt (pow b_2 3))
(+ (sqrt (pow b_2 3)) (* -1/2 (* (* a c) (sqrt (/ 1 (pow b_2 3))))))
(+ (sqrt (pow b_2 3)) (* c (+ (* -1/2 (* a (sqrt (/ 1 (pow b_2 3))))) (* -1/8 (* (* (pow a 2) c) (sqrt (/ 1 (pow b_2 9))))))))
(+ (sqrt (pow b_2 3)) (* c (+ (* -1/2 (* a (sqrt (/ 1 (pow b_2 3))))) (* c (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b_2 9))))) (* -1/16 (* (* (pow a 3) c) (sqrt (/ 1 (pow b_2 15))))))))))
(* (sqrt c) (sqrt -1))
(* c (+ (* 1/2 (* (/ (pow b_2 3) (sqrt -1)) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (sqrt -1))))
(* c (+ (* -1/8 (* (/ (pow b_2 6) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow c 5))))) (+ (* 1/2 (* (/ (pow b_2 3) (sqrt -1)) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (sqrt -1)))))
(* c (+ (* -1/8 (* (/ (pow b_2 6) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow c 5))))) (+ (* 1/16 (* (/ (pow b_2 9) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow c 7))))) (+ (* 1/2 (* (/ (pow b_2 3) (sqrt -1)) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (sqrt -1))))))
(* -1 (* (sqrt c) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (* (* (pow b_2 3) (sqrt -1)) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (* (pow b_2 6) (sqrt -1)) (sqrt (/ 1 (pow c 5))))) (+ (* 1/2 (* (* (pow b_2 3) (sqrt -1)) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (* (pow b_2 6) (sqrt -1)) (sqrt (/ 1 (pow c 5))))) (+ (* 1/16 (* (* (pow b_2 9) (sqrt -1)) (sqrt (/ 1 (pow c 7))))) (+ (* 1/2 (* (* (pow b_2 3) (sqrt -1)) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (sqrt -1)))))))

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))) (/ (pow b_2 2) (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(fma.f64 b_2 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* b_2 (- (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))
(fma.f64 b_2 (fma.f64 (.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 #s(literal 1/8 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (.f64 b_2 (.f64 b_2 b_2))) (sqrt.f64 #s(literal -1 binary64))))) #s(literal -1 binary64)) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(pow b_2 2)
(*.f64 b_2 b_2)
(* (pow b_2 2) (- 1 (/ 1 b_2)))
(*.f64 b_2 (fma.f64 b_2 (/.f64 #s(literal -1 binary64) b_2) b_2))
(* (pow b_2 2) (- (+ 1 (* -1/2 (/ (* a c) (pow b_2 4)))) (/ 1 b_2)))
(.f64 b_2 (fma.f64 b_2 (fma.f64 a (/.f64 (.f64 c #s(literal -1/2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) b_2)) b_2))
(* (pow b_2 2) (- (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 4))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 8))))) (/ 1 b_2)))
(.f64 b_2 (fma.f64 b_2 (fma.f64 a (/.f64 (.f64 c #s(literal -1/2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a (.f64 a (*.f64 c c))) (pow.f64 b_2 #s(literal 8 binary64))) (/.f64 #s(literal -1 binary64) b_2))) b_2))
(pow b_2 2)
(*.f64 b_2 b_2)
(* (pow b_2 2) (- 1 (/ 1 b_2)))
(*.f64 b_2 (fma.f64 b_2 (/.f64 #s(literal -1 binary64) b_2) b_2))
(* (pow b_2 2) (+ 1 (* -1 (/ (+ 1 (* 1/2 (/ (* a c) (pow b_2 3)))) b_2))))
(.f64 b_2 (fma.f64 b_2 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c (.f64 b_2 (.f64 b_2 b_2)))) #s(literal 1 binary64)) (neg.f64 b_2)) b_2))
(* (pow b_2 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))) (pow b_2 3)))) b_2))))
(.f64 b_2 (fma.f64 b_2 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) (/.f64 (.f64 c c) (pow.f64 b_2 #s(literal 4 binary64))) (.f64 c (.f64 a #s(literal -1/2 binary64)))) (.f64 b_2 (.f64 b_2 b_2)))) (neg.f64 b_2)) b_2))
(- (sqrt (pow b_2 3)) b_2)
(-.f64 (sqrt.f64 (.f64 b_2 (.f64 b_2 b_2))) b_2)
(- (+ (sqrt (pow b_2 3)) (* -1/2 (* (* a c) (sqrt (/ 1 (pow b_2 3)))))) b_2)
(fma.f64 a (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b_2 (.f64 b_2 b_2)))) (.f64 c #s(literal -1/2 binary64))) (-.f64 (sqrt.f64 (.f64 b_2 (.f64 b_2 b_2))) b_2))
(- (+ (sqrt (pow b_2 3)) (* a (+ (* -1/2 (* (sqrt (/ 1 (pow b_2 3))) c)) (* -1/8 (* (* a (pow c 2)) (sqrt (/ 1 (pow b_2 9)))))))) b_2)
(fma.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b_2 (.f64 b_2 b_2)))) (.f64 c #s(literal -1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b_2 #s(literal 9 binary64)))) (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c c))))) (-.f64 (sqrt.f64 (.f64 b_2 (*.f64 b_2 b_2))) b_2))
(- (+ (sqrt (pow b_2 3)) (* a (+ (* -1/2 (* (sqrt (/ 1 (pow b_2 3))) c)) (* a (+ (* -1/8 (* (sqrt (/ 1 (pow b_2 9))) (pow c 2))) (* -1/16 (* (* a (pow c 3)) (sqrt (/ 1 (pow b_2 15)))))))))) b_2)
(fma.f64 a (fma.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b_2 #s(literal 15 binary64)))) (.f64 #s(literal -1/16 binary64) (.f64 a (.f64 c (.f64 c c)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b_2 #s(literal 9 binary64)))) (.f64 (.f64 c c) #s(literal -1/8 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b_2 (.f64 b_2 b_2)))) (.f64 c #s(literal -1/2 binary64)))) (-.f64 (sqrt.f64 (.f64 b_2 (*.f64 b_2 b_2))) 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 (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 3) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))
(.f64 a (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 b_2 (*.f64 b_2 b_2))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 (neg.f64 a)))))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 3) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))
(.f64 a (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 b_2 (.f64 b_2 b_2))) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 b_2 (*.f64 b_2 b_2))) (sqrt.f64 #s(literal -1 binary64)))))) (/.f64 b_2 a)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* (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 (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 3) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(neg.f64 (.f64 a (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 b_2 (.f64 b_2 b_2))) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 b_2)) (neg.f64 a)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 6) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 3) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c)))))) (.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 b_2 (.f64 b_2 b_2))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 b_2 (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 a c)))))) a) b_2) a)) (neg.f64 a))
(- (sqrt (pow b_2 3)) b_2)
(-.f64 (sqrt.f64 (.f64 b_2 (.f64 b_2 b_2))) b_2)
(- (+ (sqrt (pow b_2 3)) (* -1/2 (* (* a c) (sqrt (/ 1 (pow b_2 3)))))) b_2)
(fma.f64 a (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b_2 (.f64 b_2 b_2)))) (.f64 c #s(literal -1/2 binary64))) (-.f64 (sqrt.f64 (.f64 b_2 (.f64 b_2 b_2))) b_2))
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(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 b_2 (.f64 b_2 b_2))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 3) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(fma.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 b_2 (.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 #s(literal 1/8 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (.f64 b_2 (.f64 b_2 b_2))) (sqrt.f64 #s(literal -1 binary64)))))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 3) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 3) (+ (* -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 3) (pow (sqrt -1) 5)))))))))
(fma.f64 (.f64 b_2 (.f64 b_2 b_2)) (fma.f64 (.f64 b_2 (.f64 b_2 b_2)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (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 (.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))))
(pow b_2 2)
(*.f64 b_2 b_2)
(* (pow b_2 2) (+ 1 (* -1/2 (/ (* a c) (pow b_2 4)))))
(.f64 b_2 (fma.f64 b_2 (/.f64 (.f64 c (*.f64 a #s(literal -1/2 binary64))) (pow.f64 b_2 #s(literal 4 binary64))) b_2))
(* (pow b_2 2) (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 4))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 8))))))
(.f64 (.f64 b_2 b_2) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a (.f64 a (.f64 c c))) (pow.f64 b_2 #s(literal 8 binary64))) (fma.f64 a (/.f64 (.f64 c #s(literal -1/2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1 binary64))))
(* (pow b_2 2) (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 4))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 8))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 12)))))))
(.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 (.f64 c #s(literal -1/2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) (/.f64 (.f64 c c) (pow.f64 b_2 #s(literal 8 binary64))) (fma.f64 (.f64 #s(literal -1/16 binary64) (.f64 a (.f64 a a))) (/.f64 (.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 12 binary64))) #s(literal 1 binary64)))))
(pow b_2 2)
(*.f64 b_2 b_2)
(* (pow b_2 2) (+ 1 (* -1/2 (/ (* a c) (pow b_2 4)))))
(.f64 b_2 (fma.f64 b_2 (/.f64 (.f64 c (*.f64 a #s(literal -1/2 binary64))) (pow.f64 b_2 #s(literal 4 binary64))) b_2))
(* (pow b_2 2) (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 4))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 8))))))
(.f64 (.f64 b_2 b_2) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a (.f64 a (.f64 c c))) (pow.f64 b_2 #s(literal 8 binary64))) (fma.f64 a (/.f64 (.f64 c #s(literal -1/2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1 binary64))))
(* (pow b_2 2) (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 4))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 8))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 12)))))))
(.f64 (.f64 b_2 b_2) (fma.f64 a (/.f64 (.f64 c #s(literal -1/2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) (/.f64 (.f64 c c) (pow.f64 b_2 #s(literal 8 binary64))) (fma.f64 (.f64 #s(literal -1/16 binary64) (.f64 a (.f64 a a))) (/.f64 (.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 12 binary64))) #s(literal 1 binary64)))))
(sqrt (pow b_2 3))
(sqrt.f64 (.f64 b_2 (.f64 b_2 b_2)))
(+ (sqrt (pow b_2 3)) (* -1/2 (* (* a c) (sqrt (/ 1 (pow b_2 3))))))
(fma.f64 (.f64 c (.f64 a #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b_2 (.f64 b_2 b_2)))) (sqrt.f64 (.f64 b_2 (.f64 b_2 b_2))))
(+ (sqrt (pow b_2 3)) (* a (+ (* -1/2 (* (sqrt (/ 1 (pow b_2 3))) c)) (* -1/8 (* (* a (pow c 2)) (sqrt (/ 1 (pow b_2 9))))))))
(fma.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b_2 (.f64 b_2 b_2)))) (.f64 c #s(literal -1/2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b_2 #s(literal 9 binary64)))) (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c c))))) (sqrt.f64 (.f64 b_2 (*.f64 b_2 b_2))))
(+ (sqrt (pow b_2 3)) (* a (+ (* -1/2 (* (sqrt (/ 1 (pow b_2 3))) c)) (* a (+ (* -1/8 (* (sqrt (/ 1 (pow b_2 9))) (pow c 2))) (* -1/16 (* (* a (pow c 3)) (sqrt (/ 1 (pow b_2 15))))))))))
(fma.f64 a (fma.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b_2 #s(literal 15 binary64)))) (.f64 #s(literal -1/16 binary64) (.f64 a (.f64 c (.f64 c c)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b_2 #s(literal 9 binary64)))) (.f64 (.f64 c c) #s(literal -1/8 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b_2 (.f64 b_2 b_2)))) (.f64 c #s(literal -1/2 binary64)))) (sqrt.f64 (.f64 b_2 (*.f64 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 3) (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 #s(literal 1/2 binary64) (.f64 b_2 (.f64 b_2 b_2))) (sqrt.f64 #s(literal -1 binary64))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 3) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 b_2 (.f64 b_2 b_2))) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 b_2 (*.f64 b_2 b_2))) (sqrt.f64 #s(literal -1 binary64)))))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 9) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 3) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 b_2 (.f64 b_2 b_2))) (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 #s(literal 1/16 binary64) (pow.f64 b_2 #s(literal 9 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 b_2 (*.f64 b_2 b_2))) (sqrt.f64 #s(literal -1 binary64))))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 3) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 b_2 (.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c)))))) (sqrt.f64 (/.f64 c a)))) (neg.f64 a))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 3) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 b_2 (.f64 b_2 b_2)))) (sqrt.f64 (/.f64 c a))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 b_2 (.f64 b_2 b_2))) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 a))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 9) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 3) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
(neg.f64 (.f64 a (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 b_2 (.f64 b_2 b_2)))) (sqrt.f64 (/.f64 c a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 b_2 #s(literal 9 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 b_2 (.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a (.f64 a c))))))))))))
(sqrt (pow b_2 3))
(sqrt.f64 (.f64 b_2 (.f64 b_2 b_2)))
(+ (sqrt (pow b_2 3)) (* -1/2 (* (* a c) (sqrt (/ 1 (pow b_2 3))))))
(fma.f64 (.f64 c (.f64 a #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b_2 (.f64 b_2 b_2)))) (sqrt.f64 (.f64 b_2 (.f64 b_2 b_2))))
(+ (sqrt (pow b_2 3)) (* c (+ (* -1/2 (* a (sqrt (/ 1 (pow b_2 3))))) (* -1/8 (* (* (pow a 2) c) (sqrt (/ 1 (pow b_2 9))))))))
(fma.f64 c (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b_2 #s(literal 9 binary64)))) (.f64 a (.f64 a c))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b_2 (.f64 b_2 b_2)))) (.f64 a #s(literal -1/2 binary64)))) (sqrt.f64 (.f64 b_2 (*.f64 b_2 b_2))))
(+ (sqrt (pow b_2 3)) (* c (+ (* -1/2 (* a (sqrt (/ 1 (pow b_2 3))))) (* c (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b_2 9))))) (* -1/16 (* (* (pow a 3) c) (sqrt (/ 1 (pow b_2 15))))))))))
(fma.f64 c (fma.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b_2 #s(literal 15 binary64)))) (.f64 #s(literal -1/16 binary64) (.f64 a (.f64 a (.f64 a c)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b_2 #s(literal 9 binary64)))) (.f64 #s(literal -1/8 binary64) (.f64 a a)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 b_2 (.f64 b_2 b_2)))) (.f64 a #s(literal -1/2 binary64)))) (sqrt.f64 (.f64 b_2 (*.f64 b_2 b_2))))
(* (sqrt c) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 c))
(* c (+ (* 1/2 (* (/ (pow b_2 3) (sqrt -1)) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (sqrt -1))))
(.f64 c (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) c)) (.f64 (/.f64 (.f64 b_2 (.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (*.f64 c c)))) #s(literal 1/2 binary64)))))
(* c (+ (* -1/8 (* (/ (pow b_2 6) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow c 5))))) (+ (* 1/2 (* (/ (pow b_2 3) (sqrt -1)) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (sqrt -1)))))
(.f64 c (fma.f64 (/.f64 (.f64 b_2 (.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c c)))) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 b_2 (.f64 b_2 b_2))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) c))))))
(* c (+ (* -1/8 (* (/ (pow b_2 6) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow c 5))))) (+ (* 1/16 (* (/ (pow b_2 9) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow c 7))))) (+ (* 1/2 (* (/ (pow b_2 3) (sqrt -1)) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (sqrt -1))))))
(.f64 c (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) c)) (fma.f64 (/.f64 (.f64 b_2 (.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c c)))) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 b_2 (.f64 b_2 b_2))) (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 b_2 #s(literal 9 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))))
(* -1 (* (sqrt c) (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 c)))
(* -1 (* c (+ (* 1/2 (* (* (pow b_2 3) (sqrt -1)) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 b_2 (.f64 b_2 b_2))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c c))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) c)))) (neg.f64 c))
(* -1 (* c (+ (* -1/8 (* (* (pow b_2 6) (sqrt -1)) (sqrt (/ 1 (pow c 5))))) (+ (* 1/2 (* (* (pow b_2 3) (sqrt -1)) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (sqrt -1))))))
(.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 b_2 (.f64 b_2 b_2)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 b_2 (.f64 b_2 b_2))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c c))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) c))))) (neg.f64 c))
(* -1 (* c (+ (* -1/8 (* (* (pow b_2 6) (sqrt -1)) (sqrt (/ 1 (pow c 5))))) (+ (* 1/16 (* (* (pow b_2 9) (sqrt -1)) (sqrt (/ 1 (pow c 7))))) (+ (* 1/2 (* (* (pow b_2 3) (sqrt -1)) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (sqrt -1)))))))
(.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) c)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64)))) (.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 b_2 (.f64 b_2 b_2)) (.f64 b_2 (.f64 b_2 b_2)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64)))) (.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 b_2 #s(literal 9 binary64))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c c)))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 b_2 (*.f64 b_2 b_2))) (sqrt.f64 #s(literal -1 binary64))))))) (neg.f64 c))

eval91.0ms (0.8%)

Memory: 18.4MiB live, 94.1MiB allocated
Compiler: Compiled 11 929 to 1 289 computations (89.2% saved)

prune233.0ms (2.1%)

Memory

-1.7MiB live, 195.8MiB allocated

Pruning

36 alts after pruning (35 fresh and 1 done)

	Pruned	Kept	Total
New	366	35	401
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	366	36	402

Accuracy

50.6%

Counts

402 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.1%	(/.f64 (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))) a)
	0.7%	(/.f64 (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))))))) a)
	0.7%	(/.f64 (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))))))) a)
	0.7%	(/.f64 (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))) a)
	0.8%	(/.f64 (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))))))) a)
	1.0%	(/.f64 (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))) a)
	1.3%	(/.f64 (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) a)
▶	2.6%	(/.f64 (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))))))) a)
	1.2%	(/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (neg.f64 a)))
	4.4%	(/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))))
	2.7%	(/.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))) (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)
	4.1%	(/.f64 (/.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))))) a)
	4.1%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 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)))))
	1.8%	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))) a)
	28.1%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) b_2) a)
	2.2%	(/.f64 (-.f64 (sqrt.f64 (.f64 b_2 (.f64 b_2 b_2))) b_2) a)
	3.9%	(/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) a)
	8.1%	(/.f64 (+.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) b_2) a)
▶	34.6%	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64))) a)
	27.5%	(/.f64 (+.f64 (neg.f64 b_2) (.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)))))) a)
	13.4%	(/.f64 (+.f64 (neg.f64 b_2) (*.f64 b_2 b_2)) a)
✓	50.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	24.7%	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 b_2 b_2 (.f64 a c)))))) a)
	12.3%	(/.f64 (+.f64 (exp.f64 (.f64 (log.f64 b_2) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) a)
	1.8%	(/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (neg.f64 a))
	29.0%	(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
▶	12.6%	(/.f64 (*.f64 b_2 b_2) a)
▶	0.9%	(/.f64 (neg.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 a c))) a)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))))
	4.4%	(.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))
	4.1%	(.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))))))
	8.1%	(.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))))
	1.8%	(.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))))
▶	12.8%	(.f64 (.f64 b_2 b_2) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) (*.f64 a b_2))))
	12.5%	(.f64 b_2 (fma.f64 b_2 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 c (.f64 b_2 (*.f64 b_2 b_2))) (/.f64 #s(literal 1 binary64) a)) (neg.f64 b_2)) (/.f64 b_2 a)))
	9.2%	(.f64 b_2 (.f64 b_2 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c c))) (pow.f64 b_2 #s(literal 4 binary64)))) (.f64 b_2 (*.f64 b_2 b_2)))) b_2))))
	3.6%	(exp.f64 (.f64 (log.f64 (/.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))))) #s(literal -1 binary64)))

Compiler

Compiled 1 668 to 806 computations (51.7% saved)

simplify290.0ms (2.6%)

Memory

-19.8MiB live, 408.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))
✓	cost-diff	0	(/.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))
✓	cost-diff	1024	(/.f64 (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))))))) a)
✓	cost-diff	3008	(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)))))))
✓	cost-diff	0	(neg.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) a))
✓	cost-diff	64	(/.f64 (neg.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 a c))) a)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))))
✓	cost-diff	192	(fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c)))
✓	cost-diff	320	(/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) a)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) a)
✓	cost-diff	0	(*.f64 b_2 b_2)
✓	cost-diff	640	(.f64 (.f64 b_2 b_2) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) (*.f64 a b_2))))
✓	cost-diff	704	(+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) (*.f64 a b_2)))
✓	cost-diff	0	(*.f64 b_2 b_2)
✓	cost-diff	0	(/.f64 (*.f64 b_2 b_2) a)
✓	cost-diff	0	(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))
✓	cost-diff	0	(neg.f64 b_2)
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64))) a)
✓	cost-diff	128	(+.f64 (neg.f64 b_2) (pow.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64)))

Rules

8 130×	`lower-fma.f32`
8 124×	`lower-fma.f64`
3 118×	`lower-*.f32`
3 108×	`lower-*.f64`
2 076×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	347
0	57	347
1	107	345
2	217	343
3	476	341
4	1045	337
5	2359	293
6	5423	293
0	8050	291

Stop Event

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

Calls

Call 1

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

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

localize220.0ms (2%)

Memory

-19.7MiB live, 336.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	32.0%	(+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))
✓	accuracy	30.3%	(*.f64 a c)
✓	accuracy	30.0%	(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)))))))
✓	accuracy	28.9%	(sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))
✓	accuracy	30.5%	(/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) a)
✓	accuracy	30.3%	(*.f64 a c)
✓	accuracy	29.8%	(neg.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) a))
✓	accuracy	28.9%	(sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))
✓	accuracy	35.8%	(*.f64 a b_2)
✓	accuracy	31.7%	(.f64 (.f64 b_2 b_2) (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) (*.f64 a b_2))))
✓	accuracy	30.9%	(/.f64 #s(literal 1 binary64) a)
✓	accuracy	30.0%	(/.f64 #s(literal -1 binary64) (*.f64 a b_2))
✓	accuracy	44.8%	(/.f64 (*.f64 b_2 b_2) a)
✓	accuracy	41.5%	(*.f64 b_2 b_2)
✓	accuracy	30.4%	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64))) a)
✓	accuracy	30.3%	(*.f64 a c)
✓	accuracy	30.0%	(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))
✓	accuracy	28.8%	(neg.f64 b_2)

Samples

71.0ms	89×	2	valid
39.0ms	73×	1	valid
28.0ms	20×	3	valid
16.0ms	71×	0	invalid
1.0ms	1×	3	exit
0.0ms	2×	0	valid

Compiler

Compiled 736 to 65 computations (91.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-pow: 34.0ms (28.7% of total)

ival-div: 26.0ms (22% of total)

ival-add: 19.0ms (16% of total)

adjust: 15.0ms (12.7% of total)

ival-mult: 14.0ms (11.8% of total)

ival-neg: 6.0ms (5.1% of total)

ival-sqrt: 5.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

series132.0ms (1.2%)

Memory

14.2MiB live, 168.5MiB allocated

Counts

21 → 612

Calls

Call 1

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

Outputs
#<alt (sqrt (* a c))>
#<alt (+ (sqrt (* a c)) (* -1 b_2))>
#<alt (+ (sqrt (* a c)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 6))) 1)))>
#<alt (+ (sqrt (* a c)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 6))) 1)))>
#<alt (sqrt (pow b_2 7))>
#<alt (* (pow b_2 4) (- (sqrt (/ 1 b_2)) (/ 1 (pow b_2 3))))>
#<alt (* (pow b_2 4) (- (+ (sqrt (/ 1 b_2)) (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 15)))))) (/ 1 (pow b_2 3))))>
#<alt (* (pow b_2 4) (- (+ (sqrt (/ 1 b_2)) (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 15)))))) (/ 1 (pow b_2 3))))>
#<alt (* (sqrt (pow b_2 7)) (sqrt -1))>
#<alt (* (pow b_2 4) (- (* (sqrt (/ 1 b_2)) (sqrt -1)) (/ 1 (pow b_2 3))))>
#<alt (* (pow b_2 4) (+ (* -1 (/ (+ 1 (* -1/2 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 9)))))) (pow b_2 3))) (* (sqrt (/ 1 b_2)) (sqrt -1))))>
#<alt (* (pow b_2 4) (+ (* -1 (/ (+ 1 (* -1/2 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 9)))))) (pow b_2 3))) (* (sqrt (/ 1 b_2)) (sqrt -1))))>
#<alt (- (sqrt (pow b_2 7)) b_2)>
#<alt (- (+ (sqrt (pow b_2 7)) (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 7)))))) b_2)>
#<alt (- (+ (sqrt (pow b_2 7)) (* a (+ (* -1/8 (* (* a (pow c 2)) (sqrt (/ 1 (pow b_2 21))))) (* 1/2 (* (sqrt (/ 1 (pow b_2 7))) c))))) b_2)>
#<alt (- (+ (sqrt (pow b_2 7)) (* a (+ (* 1/2 (* (sqrt (/ 1 (pow b_2 7))) c)) (* a (+ (* -1/8 (* (sqrt (/ 1 (pow b_2 21))) (pow c 2))) (* 1/16 (* (* a (pow c 3)) (sqrt (/ 1 (pow b_2 35)))))))))) b_2)>
#<alt (sqrt (* a c))>
#<alt (* a (+ (sqrt (/ c a)) (* -1 (/ b_2 a))))>
#<alt (* a (- (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 7)))) (/ b_2 a)))>
#<alt (* a (- (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 14))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 7))))) (/ b_2 a)))>
#<alt (* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 2)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 9))) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 18) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ a c)) (pow b_2 9)))) a)) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))>
#<alt (- (sqrt (pow b_2 7)) b_2)>
#<alt (- (+ (sqrt (pow b_2 7)) (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 7)))))) b_2)>
#<alt (- (+ (sqrt (pow b_2 7)) (* c (+ (* -1/8 (* (* (pow a 2) c) (sqrt (/ 1 (pow b_2 21))))) (* 1/2 (* a (sqrt (/ 1 (pow b_2 7)))))))) b_2)>
#<alt (- (+ (sqrt (pow b_2 7)) (* c (+ (* 1/2 (* a (sqrt (/ 1 (pow b_2 7))))) (* c (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b_2 21))))) (* 1/16 (* (* (pow a 3) c) (sqrt (/ 1 (pow b_2 35)))))))))) b_2)>
#<alt (sqrt c)>
#<alt (* c (+ (sqrt (/ 1 c)) (* -1 (/ b_2 c))))>
#<alt (* c (- (+ (sqrt (/ 1 c)) (* 1/2 (* (pow b_2 7) (sqrt (/ 1 (pow c 3)))))) (/ b_2 c)))>
#<alt (* c (- (+ (sqrt (/ 1 c)) (+ (* -1/8 (* (pow b_2 14) (sqrt (/ 1 (pow c 5))))) (* 1/2 (* (pow b_2 7) (sqrt (/ 1 (pow c 3))))))) (/ b_2 c)))>
#<alt (* -1 (* (sqrt c) (pow (sqrt -1) 2)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (pow b_2 9) (sqrt (/ 1 c)))) b_2) c)) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (/ (pow b_2 18) (pow (sqrt -1) 2)) (sqrt (/ 1 c)))) (* 1/2 (* (pow b_2 9) (sqrt c)))) c)) b_2) c)) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))>
#<alt (sqrt (/ c a))>
#<alt (+ (sqrt (/ c a)) (* -1 (/ b_2 a)))>
#<alt (+ (sqrt (/ c a)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 6))) (/ 1 a))))>
#<alt (+ (sqrt (/ c a)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 6))) (/ 1 a))))>
#<alt (* (/ 1 a) (sqrt (pow b_2 7)))>
#<alt (* (pow b_2 4) (- (* (/ 1 a) (sqrt (/ 1 b_2))) (/ 1 (* a (pow b_2 3)))))>
#<alt (* (pow b_2 4) (- (+ (* 1/2 (* (sqrt (/ 1 (pow b_2 15))) c)) (* (/ 1 a) (sqrt (/ 1 b_2)))) (/ 1 (* a (pow b_2 3)))))>
#<alt (* (pow b_2 4) (- (+ (* 1/2 (* (sqrt (/ 1 (pow b_2 15))) c)) (* (/ 1 a) (sqrt (/ 1 b_2)))) (/ 1 (* a (pow b_2 3)))))>
#<alt (* (/ (sqrt -1) a) (sqrt (pow b_2 7)))>
#<alt (* (pow b_2 4) (- (* (/ (sqrt -1) a) (sqrt (/ 1 b_2))) (/ 1 (* a (pow b_2 3)))))>
#<alt (* (pow b_2 4) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (pow b_2 9))) (* c (sqrt -1)))) (/ 1 a)) (pow b_2 3))) (* (/ (sqrt -1) a) (sqrt (/ 1 b_2)))))>
#<alt (* (pow b_2 4) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (pow b_2 9))) (* c (sqrt -1)))) (/ 1 a)) (pow b_2 3))) (* (/ (sqrt -1) a) (sqrt (/ 1 b_2)))))>
#<alt (/ (- (sqrt (pow b_2 7)) b_2) a)>
#<alt (/ (- (+ (sqrt (pow b_2 7)) (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 7)))))) b_2) a)>
#<alt (/ (- (+ (sqrt (pow b_2 7)) (* a (+ (* -1/8 (* (* a (pow c 2)) (sqrt (/ 1 (pow b_2 21))))) (* 1/2 (* (sqrt (/ 1 (pow b_2 7))) c))))) b_2) a)>
#<alt (/ (- (+ (sqrt (pow b_2 7)) (* a (+ (* 1/2 (* (sqrt (/ 1 (pow b_2 7))) c)) (* a (+ (* -1/8 (* (sqrt (/ 1 (pow b_2 21))) (pow c 2))) (* 1/16 (* (* a (pow c 3)) (sqrt (/ 1 (pow b_2 35)))))))))) b_2) a)>
#<alt (sqrt (/ c a))>
#<alt (+ (sqrt (/ c a)) (* -1 (/ b_2 a)))>
#<alt (+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 7)))))>
#<alt (+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 14))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 7))))))>
#<alt (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 9)))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (pow b_2 9))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 18) (pow (sqrt -1) 2))))) a))) a)))>
#<alt (/ (- (sqrt (pow b_2 7)) b_2) a)>
#<alt (- (+ (* 1/2 (* (sqrt (/ 1 (pow b_2 7))) c)) (* (/ 1 a) (sqrt (pow b_2 7)))) (/ b_2 a))>
#<alt (- (+ (* c (+ (* -1/8 (* (* a c) (sqrt (/ 1 (pow b_2 21))))) (* 1/2 (sqrt (/ 1 (pow b_2 7)))))) (* (/ 1 a) (sqrt (pow b_2 7)))) (/ b_2 a))>
#<alt (- (+ (* c (+ (* 1/2 (sqrt (/ 1 (pow b_2 7)))) (* c (+ (* -1/8 (* a (sqrt (/ 1 (pow b_2 21))))) (* 1/16 (* (* (pow a 2) c) (sqrt (/ 1 (pow b_2 35))))))))) (* (/ 1 a) (sqrt (pow b_2 7)))) (/ b_2 a))>
#<alt (* (/ 1 a) (sqrt c))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (/ 1 a) (sqrt (/ 1 c)))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (/ (pow b_2 7) a) (sqrt (/ 1 (pow c 3))))) (* (/ 1 a) (sqrt (/ 1 c))))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (/ (pow b_2 14) a) (sqrt (/ 1 (pow c 5))))) (+ (* 1/2 (* (/ (pow b_2 7) a) (sqrt (/ 1 (pow c 3))))) (* (/ 1 a) (sqrt (/ 1 c)))))))>
#<alt (* -1 (* (/ (pow (sqrt -1) 2) a) (sqrt c)))>
#<alt (* -1 (* c (+ (* (/ (pow (sqrt -1) 2) a) (sqrt (/ 1 c))) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (/ (pow b_2 9) a) (sqrt (/ 1 c))))) c)) (* (/ (pow (sqrt -1) 2) a) (sqrt (/ 1 c))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (/ (pow b_2 18) (* a (pow (sqrt -1) 2))) (sqrt (/ 1 c)))) (* 1/2 (* (/ (pow b_2 9) a) (sqrt c)))) c))) c)) (* (/ (pow (sqrt -1) 2) a) (sqrt (/ 1 c))))))>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (* -1 b_2)>
#<alt (sqrt (* a c))>
#<alt (sqrt (* a c))>
#<alt (+ (sqrt (* a c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 7))))>
#<alt (+ (sqrt (* a c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 7))))>
#<alt (sqrt (pow b_2 7))>
#<alt (sqrt (pow b_2 7))>
#<alt (* (pow b_2 4) (+ (sqrt (/ 1 b_2)) (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 15)))))))>
#<alt (* (pow b_2 4) (+ (sqrt (/ 1 b_2)) (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 15)))))))>
#<alt (* (sqrt (pow b_2 7)) (sqrt -1))>
#<alt (* (sqrt (pow b_2 7)) (sqrt -1))>
#<alt (* (pow b_2 4) (+ (* 1/2 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 15))))) (* (sqrt (/ 1 b_2)) (sqrt -1))))>
#<alt (* (pow b_2 4) (+ (* 1/2 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 15))))) (* (sqrt (/ 1 b_2)) (sqrt -1))))>
#<alt (sqrt (pow b_2 7))>
#<alt (+ (sqrt (pow b_2 7)) (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 7))))))>
#<alt (+ (sqrt (pow b_2 7)) (* a (+ (* -1/8 (* (* a (pow c 2)) (sqrt (/ 1 (pow b_2 21))))) (* 1/2 (* (sqrt (/ 1 (pow b_2 7))) c)))))>
#<alt (+ (sqrt (pow b_2 7)) (* a (+ (* 1/2 (* (sqrt (/ 1 (pow b_2 7))) c)) (* a (+ (* -1/8 (* (sqrt (/ 1 (pow b_2 21))) (pow c 2))) (* 1/16 (* (* a (pow c 3)) (sqrt (/ 1 (pow b_2 35))))))))))>
#<alt (sqrt (* a c))>
#<alt (* a (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 7)))))>
#<alt (* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 14))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 7))))))>
#<alt (* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 14))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (pow b_2 21))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 7)))))))>
#<alt (* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 9))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 18) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 9))) (* (sqrt (/ c a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 18) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 27) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 9))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))))>
#<alt (sqrt (pow b_2 7))>
#<alt (+ (sqrt (pow b_2 7)) (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 7))))))>
#<alt (+ (sqrt (pow b_2 7)) (* c (+ (* -1/8 (* (* (pow a 2) c) (sqrt (/ 1 (pow b_2 21))))) (* 1/2 (* a (sqrt (/ 1 (pow b_2 7))))))))>
#<alt (+ (sqrt (pow b_2 7)) (* c (+ (* 1/2 (* a (sqrt (/ 1 (pow b_2 7))))) (* c (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b_2 21))))) (* 1/16 (* (* (pow a 3) c) (sqrt (/ 1 (pow b_2 35))))))))))>
#<alt (sqrt c)>
#<alt (* c (+ (sqrt (/ 1 c)) (* 1/2 (* (pow b_2 7) (sqrt (/ 1 (pow c 3)))))))>
#<alt (* c (+ (sqrt (/ 1 c)) (+ (* -1/8 (* (pow b_2 14) (sqrt (/ 1 (pow c 5))))) (* 1/2 (* (pow b_2 7) (sqrt (/ 1 (pow c 3))))))))>
#<alt (* c (+ (sqrt (/ 1 c)) (+ (* -1/8 (* (pow b_2 14) (sqrt (/ 1 (pow c 5))))) (+ (* 1/16 (* (pow b_2 21) (sqrt (/ 1 (pow c 7))))) (* 1/2 (* (pow b_2 7) (sqrt (/ 1 (pow c 3)))))))))>
#<alt (* -1 (* (sqrt c) (pow (sqrt -1) 2)))>
#<alt (* -1 (* c (+ (* 1/2 (* (pow b_2 9) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* c (+ (* -1/8 (* (/ (pow b_2 18) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow c 5))))) (+ (* 1/2 (* (pow b_2 9) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* c (+ (* -1/8 (* (/ (pow b_2 18) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow c 5))))) (+ (* 1/16 (* (/ (pow b_2 27) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow c 7))))) (+ (* 1/2 (* (pow b_2 9) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))))>
#<alt (/ (pow b_2 2) a)>
#<alt (/ (pow b_2 2) a)>
#<alt (/ (pow b_2 2) a)>
#<alt (/ (pow b_2 2) a)>
#<alt (/ (pow b_2 3) a)>
#<alt (/ (pow b_2 3) a)>
#<alt (/ (pow b_2 3) a)>
#<alt (/ (pow b_2 3) a)>
#<alt (* -1 (/ (pow b_2 3) a))>
#<alt (* -1 (/ (pow b_2 3) a))>
#<alt (* -1 (/ (pow b_2 3) a))>
#<alt (* -1 (/ (pow b_2 3) a))>
#<alt (/ (pow b_2 2) a)>
#<alt (/ (pow b_2 2) a)>
#<alt (/ (pow b_2 2) a)>
#<alt (/ (pow b_2 2) a)>
#<alt (/ (pow b_2 2) a)>
#<alt (/ (pow b_2 2) a)>
#<alt (/ (pow b_2 2) a)>
#<alt (/ (pow b_2 2) a)>
#<alt (/ (pow b_2 3) a)>
#<alt (/ (pow b_2 3) a)>
#<alt (/ (pow b_2 3) a)>
#<alt (/ (pow b_2 3) a)>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (/ (- 1 (/ 1 b_2)) a)>
#<alt (/ (- 1 (/ 1 b_2)) a)>
#<alt (/ (- 1 (/ 1 b_2)) a)>
#<alt (/ (- 1 (/ 1 b_2)) a)>
#<alt (/ (- 1 (/ 1 b_2)) a)>
#<alt (/ (- 1 (/ 1 b_2)) a)>
#<alt (/ (- 1 (/ 1 b_2)) a)>
#<alt (/ (- 1 (/ 1 b_2)) a)>
#<alt (* -1 (/ (- (/ 1 b_2) 1) a))>
#<alt (* -1 (/ (- (/ 1 b_2) 1) a))>
#<alt (* -1 (/ (- (/ 1 b_2) 1) a))>
#<alt (* -1 (/ (- (/ 1 b_2) 1) a))>
#<alt (/ -1 (* a b_2))>
#<alt (/ (- (/ b_2 a) (/ 1 a)) b_2)>
#<alt (/ (- (/ b_2 a) (/ 1 a)) b_2)>
#<alt (/ (- (/ b_2 a) (/ 1 a)) b_2)>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (/ 2 a)>
#<alt (/ 2 a)>
#<alt (/ 2 a)>
#<alt (/ 2 a)>
#<alt (* -1 (/ b_2 a))>
#<alt (* b_2 (- (/ b_2 a) (/ 1 a)))>
#<alt (* b_2 (- (/ b_2 a) (/ 1 a)))>
#<alt (* b_2 (- (/ b_2 a) (/ 1 a)))>
#<alt (/ (pow b_2 8) a)>
#<alt (* (pow b_2 8) (- (/ 1 a) (/ 1 (* a b_2))))>
#<alt (* (pow b_2 8) (- (/ 1 a) (/ 1 (* a b_2))))>
#<alt (* (pow b_2 8) (- (/ 1 a) (/ 1 (* a b_2))))>
#<alt (/ (pow b_2 6) a)>
#<alt (* (pow b_2 6) (- (/ 1 a) (/ 1 (* a b_2))))>
#<alt (* (pow b_2 6) (- (/ 1 a) (/ 1 (* a b_2))))>
#<alt (* (pow b_2 6) (- (/ 1 a) (/ 1 (* a b_2))))>
#<alt (/ (* (pow b_2 2) (- 1 (/ 1 b_2))) a)>
#<alt (/ (* (pow b_2 2) (- 1 (/ 1 b_2))) a)>
#<alt (/ (* (pow b_2 2) (- 1 (/ 1 b_2))) a)>
#<alt (/ (* (pow b_2 2) (- 1 (/ 1 b_2))) a)>
#<alt (* -1 b_2)>
#<alt (+ (* -1 b_2) (/ (pow b_2 2) a))>
#<alt (+ (* -1 b_2) (/ (pow b_2 2) a))>
#<alt (+ (* -1 b_2) (/ (pow b_2 2) a))>
#<alt b_2>
#<alt (+ b_2 (/ (pow b_2 2) a))>
#<alt (+ b_2 (/ (pow b_2 2) a))>
#<alt (+ b_2 (/ (pow b_2 2) a))>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt c>
#<alt (+ c (* 2 (/ (pow b_2 4) a)))>
#<alt (+ c (* 2 (/ (pow b_2 4) a)))>
#<alt (+ c (* 2 (/ (pow b_2 4) a)))>
#<alt (* 2 (/ (pow b_2 4) a))>
#<alt (* (pow b_2 4) (+ (* 2 (/ 1 a)) (/ c (pow b_2 4))))>
#<alt (* (pow b_2 4) (+ (* 2 (/ 1 a)) (/ c (pow b_2 4))))>
#<alt (* (pow b_2 4) (+ (* 2 (/ 1 a)) (/ c (pow b_2 4))))>
#<alt (* 2 (/ (pow b_2 4) a))>
#<alt (* (pow b_2 4) (+ (* 2 (/ 1 a)) (/ c (pow b_2 4))))>
#<alt (* (pow b_2 4) (+ (* 2 (/ 1 a)) (/ c (pow b_2 4))))>
#<alt (* (pow b_2 4) (+ (* 2 (/ 1 a)) (/ c (pow b_2 4))))>
#<alt (* 2 (/ (pow b_2 4) a))>
#<alt (/ (+ (* 2 (pow b_2 4)) (* a c)) a)>
#<alt (/ (+ (* 2 (pow b_2 4)) (* a c)) a)>
#<alt (/ (+ (* 2 (pow b_2 4)) (* a c)) a)>
#<alt c>
#<alt (+ c (* 2 (/ (pow b_2 4) a)))>
#<alt (+ c (* 2 (/ (pow b_2 4) a)))>
#<alt (+ c (* 2 (/ (pow b_2 4) a)))>
#<alt c>
#<alt (+ c (* 2 (/ (pow b_2 6) a)))>
#<alt (+ c (* 2 (/ (pow b_2 6) a)))>
#<alt (+ c (* 2 (/ (pow b_2 6) a)))>
#<alt (* 2 (/ (pow b_2 4) a))>
#<alt (+ c (* 2 (/ (pow b_2 4) a)))>
#<alt (+ c (* 2 (/ (pow b_2 4) a)))>
#<alt (+ c (* 2 (/ (pow b_2 4) a)))>
#<alt (/ c a)>
#<alt (* c (+ (* 2 (/ (pow b_2 4) (* a c))) (/ 1 a)))>
#<alt (* c (+ (* 2 (/ (pow b_2 4) (* a c))) (/ 1 a)))>
#<alt (* c (+ (* 2 (/ (pow b_2 4) (* a c))) (/ 1 a)))>
#<alt (/ c a)>
#<alt (* -1 (* c (- (* -2 (/ (pow b_2 6) (* a c))) (/ 1 a))))>
#<alt (* -1 (* c (- (* -2 (/ (pow b_2 6) (* a c))) (/ 1 a))))>
#<alt (* -1 (* c (- (* -2 (/ (pow b_2 6) (* a c))) (/ 1 a))))>
#<alt (* a c)>
#<alt (+ (* 2 (pow b_2 4)) (* a c))>
#<alt (+ (* 2 (pow b_2 4)) (* a c))>
#<alt (+ (* 2 (pow b_2 4)) (* a c))>
#<alt (* 2 (pow b_2 4))>
#<alt (* (pow b_2 4) (+ 2 (/ (* a c) (pow b_2 4))))>
#<alt (* (pow b_2 4) (+ 2 (/ (* a c) (pow b_2 4))))>
#<alt (* (pow b_2 4) (+ 2 (/ (* a c) (pow b_2 4))))>
#<alt (* 2 (pow b_2 4))>
#<alt (* (pow b_2 4) (+ 2 (/ (* a c) (pow b_2 4))))>
#<alt (* (pow b_2 4) (+ 2 (/ (* a c) (pow b_2 4))))>
#<alt (* (pow b_2 4) (+ 2 (/ (* a c) (pow b_2 4))))>
#<alt (* 2 (pow b_2 4))>
#<alt (+ (* 2 (pow b_2 4)) (* a c))>
#<alt (+ (* 2 (pow b_2 4)) (* a c))>
#<alt (+ (* 2 (pow b_2 4)) (* a c))>
#<alt (* a c)>
#<alt (* a (+ c (* 2 (/ (pow b_2 4) a))))>
#<alt (* a (+ c (* 2 (/ (pow b_2 4) a))))>
#<alt (* a (+ c (* 2 (/ (pow b_2 4) a))))>
#<alt (* a c)>
#<alt (* -1 (* a (+ (* -2 (/ (pow b_2 6) a)) (* -1 c))))>
#<alt (* -1 (* a (+ (* -2 (/ (pow b_2 6) a)) (* -1 c))))>
#<alt (* -1 (* a (+ (* -2 (/ (pow b_2 6) a)) (* -1 c))))>
#<alt (* 2 (pow b_2 4))>
#<alt (+ (* 2 (pow b_2 4)) (* a c))>
#<alt (+ (* 2 (pow b_2 4)) (* a c))>
#<alt (+ (* 2 (pow b_2 4)) (* a c))>
#<alt c>
#<alt (* c (+ 1 (* 2 (/ (pow b_2 4) c))))>
#<alt (* c (+ 1 (* 2 (/ (pow b_2 4) c))))>
#<alt (* c (+ 1 (* 2 (/ (pow b_2 4) c))))>
#<alt c>
#<alt (* -1 (* c (- (* -2 (/ (pow b_2 6) c)) 1)))>
#<alt (* -1 (* c (- (* -2 (/ (pow b_2 6) c)) 1)))>
#<alt (* -1 (* c (- (* -2 (/ (pow b_2 6) c)) 1)))>
#<alt (* -1 (sqrt (/ c a)))>
#<alt (+ (* -1 (sqrt (/ c a))) (/ b_2 a))>
#<alt (+ (* -1 (sqrt (/ c a))) (* b_2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) b_2)) (/ 1 a))))>
#<alt (+ (* -1 (sqrt (/ c a))) (* b_2 (+ (* b_2 (+ (* -1 (sqrt (/ 1 (* (pow a 3) c)))) (/ b_2 (* (pow a 2) c)))) (/ 1 a))))>
#<alt (* -2 (/ (pow b_2 2) a))>
#<alt (* (pow b_2 2) (- (* 2 (/ 1 (* a b_2))) (* 2 (/ 1 a))))>
#<alt (* (pow b_2 2) (- (/ 2 (* a b_2)) (+ (* 2 (/ 1 a)) (/ 2 (* a (pow b_2 2))))))>
#<alt (* (pow b_2 2) (- (+ (* 2 (/ 1 (* a (pow b_2 3)))) (/ 2 (* a b_2))) (+ (* 2 (/ 1 a)) (* 2 (/ 1 (* a (pow b_2 2)))))))>
#<alt (* -2 (/ (pow b_2 2) a))>
#<alt (* (pow b_2 2) (- (* 2 (/ 1 (* a b_2))) (* 2 (/ 1 a))))>
#<alt (* (pow b_2 2) (- (* -1 (/ (- (* 2 (/ 1 (* a b_2))) (* 2 (/ 1 a))) b_2)) (* 2 (/ 1 a))))>
#<alt (* (pow b_2 2) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 (* a b_2))) (* 2 (/ 1 a))) b_2)) (* 2 (/ 1 a))) b_2)) (* 2 (/ 1 a))))>
#<alt (* -2 (/ (pow b_2 4) (* a (+ b_2 (pow b_2 2)))))>
#<alt (/ (+ (* -2 (/ (pow b_2 4) (+ b_2 (pow b_2 2)))) (* -1 (* a (- (/ c (+ b_2 (pow b_2 2))) (/ (* (pow b_2 2) c) (pow (+ b_2 (pow b_2 2)) 2)))))) a)>
#<alt (/ (+ (* -2 (/ (pow b_2 4) (+ b_2 (pow b_2 2)))) (* a (+ (* -1 (- (/ c (+ b_2 (pow b_2 2))) (/ (* (pow b_2 2) c) (pow (+ b_2 (pow b_2 2)) 2)))) (* a (+ (* -1/4 (/ (pow c 2) (* (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2)))) (* 1/2 (/ (* c (- (/ c (+ b_2 (pow b_2 2))) (/ (* (pow b_2 2) c) (pow (+ b_2 (pow b_2 2)) 2)))) (* (pow b_2 2) (+ b_2 (pow b_2 2)))))))))) a)>
#<alt (/ (+ (* -2 (/ (pow b_2 4) (+ b_2 (pow b_2 2)))) (* a (+ (* -1 (- (/ c (+ b_2 (pow b_2 2))) (/ (* (pow b_2 2) c) (pow (+ b_2 (pow b_2 2)) 2)))) (* a (+ (* -1/4 (/ (pow c 2) (* (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2)))) (+ (* 1/2 (/ (* c (- (/ c (+ b_2 (pow b_2 2))) (/ (* (pow b_2 2) c) (pow (+ b_2 (pow b_2 2)) 2)))) (* (pow b_2 2) (+ b_2 (pow b_2 2))))) (* a (+ (* -1/2 (/ (* c (+ (* -1/4 (/ (pow c 2) (* (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2)))) (* 1/2 (/ (* c (- (/ c (+ b_2 (pow b_2 2))) (/ (* (pow b_2 2) c) (pow (+ b_2 (pow b_2 2)) 2)))) (* (pow b_2 2) (+ b_2 (pow b_2 2))))))) (* (pow b_2 2) (+ b_2 (pow b_2 2))))) (+ (* -1/8 (/ (* (pow c 2) (- (/ c (+ b_2 (pow b_2 2))) (/ (* (pow b_2 2) c) (pow (+ b_2 (pow b_2 2)) 2)))) (* (pow b_2 6) (+ b_2 (pow b_2 2))))) (* 1/8 (/ (pow c 3) (* (pow b_2 6) (pow (+ b_2 (pow b_2 2)) 2))))))))))))) a)>
#<alt (* -1 (sqrt (/ c a)))>
#<alt (/ (+ (* -1 (sqrt (* a c))) (* -1 (/ (- (* 2 (* (sqrt (/ a c)) (pow b_2 5))) (* a b_2)) a))) a)>
#<alt (/ (+ (* -1 (sqrt (* a c))) (+ (* -1 (/ (- (* 2 (* (sqrt (/ a c)) (pow b_2 5))) (* a b_2)) a)) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 5))) (* (sqrt (/ 1 (* (pow a 3) c))) (* b_2 (- (* 2 (* (sqrt (/ a c)) (pow b_2 5))) (* a b_2))))))) a)>
#<alt (/ (+ (* -1 (sqrt (* a c))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (* b_2 (+ (* 1/2 (* (sqrt (/ (pow a 3) c)) (pow b_2 5))) (* (sqrt (/ a c)) (* b_2 (- (* 2 (* (sqrt (/ a c)) (pow b_2 5))) (* a b_2)))))))) (+ (* -1 (/ (- (* 2 (* (sqrt (/ a c)) (pow b_2 5))) (* a b_2)) a)) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 5))) (+ (* 1/2 (/ (* (pow b_2 5) (- (* 2 (* (sqrt (/ a c)) (pow b_2 5))) (* a b_2))) (* (pow a 2) c))) (* (sqrt (/ 1 (* (pow a 3) c))) (* b_2 (- (* 2 (* (sqrt (/ a c)) (pow b_2 5))) (* a b_2))))))))) a)>
#<alt (sqrt (/ c a))>
#<alt (* -1 (/ (+ (* -1 (sqrt (* a c))) (* -1 (/ (- (* 2 (* (sqrt (/ a c)) (pow b_2 6))) (/ (* a b_2) (pow (sqrt -1) 2))) a))) a))>
#<alt (* -1 (/ (+ (* -1 (sqrt (* a c))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a c)) (/ (pow b_2 6) (pow (sqrt -1) 2)))) (+ (* 2 (* (sqrt (/ a c)) (pow b_2 6))) (* (sqrt (/ 1 (* a c))) (* b_2 (- (* 2 (* (sqrt (/ a c)) (pow b_2 6))) (/ (* a b_2) (pow (sqrt -1) 2))))))) (/ (* a b_2) (pow (sqrt -1) 2))) a))) a))>
#<alt (* -1 (/ (+ (* -1 (sqrt (* a c))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 6) (pow (sqrt -1) 2)))) (* (sqrt (/ a c)) (* b_2 (- (* 2 (* (sqrt (/ a c)) (pow b_2 6))) (/ (* a b_2) (pow (sqrt -1) 2))))))))) (* -1/2 (/ (* (pow b_2 6) (- (* 2 (* (sqrt (/ a c)) (pow b_2 6))) (/ (* a b_2) (pow (sqrt -1) 2)))) (* c (pow (sqrt -1) 2))))) (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 6) (pow (sqrt -1) 2)))) (* (sqrt (/ a c)) (* b_2 (- (* 2 (* (sqrt (/ a c)) (pow b_2 6))) (/ (* a b_2) (pow (sqrt -1) 2))))))) a)) (* 2 (* (sqrt (/ a c)) (pow b_2 6)))) (/ (* a b_2) (pow (sqrt -1) 2))) a))) a))>
#<alt (* -2 (/ (pow b_2 4) (* a (+ b_2 (pow b_2 2)))))>
#<alt (+ (* -2 (/ (pow b_2 4) (* a (+ b_2 (pow b_2 2))))) (* -1 (* c (- (/ 1 (+ b_2 (pow b_2 2))) (/ (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2))))))>
#<alt (+ (* -2 (/ (pow b_2 4) (* a (+ b_2 (pow b_2 2))))) (* c (+ (* -1 (- (/ 1 (+ b_2 (pow b_2 2))) (/ (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2)))) (* c (+ (* -1/4 (/ a (* (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2)))) (* 1/2 (/ (* a (- (/ 1 (+ b_2 (pow b_2 2))) (/ (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2)))) (* (pow b_2 2) (+ b_2 (pow b_2 2))))))))))>
#<alt (+ (* -2 (/ (pow b_2 4) (* a (+ b_2 (pow b_2 2))))) (* c (+ (* -1 (- (/ 1 (+ b_2 (pow b_2 2))) (/ (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2)))) (* c (+ (* -1/4 (/ a (* (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2)))) (+ (* 1/2 (/ (* a (- (/ 1 (+ b_2 (pow b_2 2))) (/ (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2)))) (* (pow b_2 2) (+ b_2 (pow b_2 2))))) (* c (+ (* -1/2 (/ (* a (+ (* -1/4 (/ a (* (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2)))) (* 1/2 (/ (* a (- (/ 1 (+ b_2 (pow b_2 2))) (/ (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2)))) (* (pow b_2 2) (+ b_2 (pow b_2 2))))))) (* (pow b_2 2) (+ b_2 (pow b_2 2))))) (+ (* -1/8 (/ (* (pow a 2) (- (/ 1 (+ b_2 (pow b_2 2))) (/ (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2)))) (* (pow b_2 6) (+ b_2 (pow b_2 2))))) (* 1/8 (/ (pow a 2) (* (pow b_2 6) (pow (+ b_2 (pow b_2 2)) 2)))))))))))))>
#<alt (* -1 (sqrt c))>
#<alt (+ (* -1 (sqrt c)) (* -1 (/ (- (* 2 (* (/ (pow b_2 4) a) (sqrt c))) (* b_2 c)) c)))>
#<alt (+ (* -1 (sqrt c)) (+ (* -1 (/ (- (* 2 (* (/ (pow b_2 4) a) (sqrt c))) (* b_2 c)) c)) (+ (* 1/2 (* (pow b_2 4) (sqrt (/ 1 c)))) (* (* b_2 (- (* 2 (* (/ (pow b_2 4) a) (sqrt c))) (* b_2 c))) (sqrt (/ 1 (pow c 3)))))))>
#<alt (+ (* -1 (sqrt c)) (+ (* -1 (* (* b_2 (+ (* 1/2 (* (pow b_2 4) (sqrt (pow c 3)))) (* (* b_2 (- (* 2 (* (/ (pow b_2 4) a) (sqrt c))) (* b_2 c))) (sqrt c)))) (sqrt (/ 1 (pow c 5))))) (+ (* -1 (/ (- (* 2 (* (/ (pow b_2 4) a) (sqrt c))) (* b_2 c)) c)) (+ (* 1/2 (* (pow b_2 4) (sqrt (/ 1 c)))) (+ (* 1/2 (/ (* (pow b_2 4) (- (* 2 (* (/ (pow b_2 4) a) (sqrt c))) (* b_2 c))) (pow c 2))) (* (* b_2 (- (* 2 (* (/ (pow b_2 4) a) (sqrt c))) (* b_2 c))) (sqrt (/ 1 (pow c 3)))))))))>
#<alt (sqrt c)>
#<alt (- (+ (sqrt c) (* 2 (* (/ (pow b_2 4) a) (sqrt (/ 1 c))))) (/ b_2 (pow (sqrt -1) 2)))>
#<alt (+ (sqrt c) (* -1 (/ (+ (* -1 (- (* 2 (* (/ (pow b_2 4) a) (sqrt c))) (/ (* b_2 c) (pow (sqrt -1) 2)))) (* -1 (/ (+ (* -1/2 (* (/ (pow b_2 4) (pow (sqrt -1) 2)) (sqrt (pow c 3)))) (* (* b_2 (- (* 2 (* (/ (pow b_2 4) a) (sqrt c))) (/ (* b_2 c) (pow (sqrt -1) 2)))) (sqrt c))) c))) c)))>
#<alt (+ (sqrt c) (* -1 (/ (+ (* -1 (- (* 2 (* (/ (pow b_2 4) a) (sqrt c))) (/ (* b_2 c) (pow (sqrt -1) 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (* b_2 (+ (* -1/2 (* (/ (pow b_2 4) (pow (sqrt -1) 2)) (sqrt (pow c 3)))) (* (* b_2 (- (* 2 (* (/ (pow b_2 4) a) (sqrt c))) (/ (* b_2 c) (pow (sqrt -1) 2)))) (sqrt c)))) (sqrt c))) (* -1/2 (/ (* (pow b_2 4) (* c (- (* 2 (* (/ (pow b_2 4) a) (sqrt c))) (/ (* b_2 c) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) c)) (+ (* -1/2 (* (/ (pow b_2 4) (pow (sqrt -1) 2)) (sqrt (pow c 3)))) (* (* b_2 (- (* 2 (* (/ (pow b_2 4) a) (sqrt c))) (/ (* b_2 c) (pow (sqrt -1) 2)))) (sqrt c)))) c))) c)))>
#<alt (* -1 c)>
#<alt (- (* -2 (/ (pow b_2 3) a)) c)>
#<alt (- (* -2 (/ (pow b_2 3) a)) c)>
#<alt (- (* -2 (/ (pow b_2 3) a)) c)>
#<alt (* -2 (/ (pow b_2 3) a))>
#<alt (* (pow b_2 3) (- (* -1 (/ c (pow b_2 3))) (* 2 (/ 1 a))))>
#<alt (* (pow b_2 3) (- (* -1 (/ c (pow b_2 3))) (* 2 (/ 1 a))))>
#<alt (* (pow b_2 3) (- (* -1 (/ c (pow b_2 3))) (* 2 (/ 1 a))))>
#<alt (* 2 (/ (pow b_2 3) a))>
#<alt (* -1 (* (pow b_2 3) (- (/ c (pow b_2 3)) (* 2 (/ 1 a)))))>
#<alt (* -1 (* (pow b_2 3) (- (/ c (pow b_2 3)) (* 2 (/ 1 a)))))>
#<alt (* -1 (* (pow b_2 3) (- (/ c (pow b_2 3)) (* 2 (/ 1 a)))))>
#<alt (* -2 (/ (pow b_2 3) a))>
#<alt (/ (- (* -1 (* a c)) (* 2 (pow b_2 3))) a)>
#<alt (/ (- (* -1 (* a c)) (* 2 (pow b_2 3))) a)>
#<alt (/ (- (* -1 (* a c)) (* 2 (pow b_2 3))) a)>
#<alt (* -1 c)>
#<alt (- (* -2 (/ (pow b_2 4) a)) c)>
#<alt (- (* -2 (/ (pow b_2 4) a)) c)>
#<alt (- (* -2 (/ (pow b_2 4) a)) c)>
#<alt (* -1 c)>
#<alt (- (* -2 (/ (pow b_2 6) a)) c)>
#<alt (- (* -2 (/ (pow b_2 6) a)) c)>
#<alt (- (* -2 (/ (pow b_2 6) a)) c)>
#<alt (* -2 (/ (pow b_2 3) a))>
#<alt (- (* -1 c) (* 2 (/ (pow b_2 3) a)))>
#<alt (- (* -1 c) (* 2 (/ (pow b_2 3) a)))>
#<alt (- (* -1 c) (* 2 (/ (pow b_2 3) a)))>
#<alt (* -1 c)>
#<alt (* c (- (* -2 (/ (pow b_2 3) (* a c))) 1))>
#<alt (* c (- (* -2 (/ (pow b_2 3) (* a c))) 1))>
#<alt (* c (- (* -2 (/ (pow b_2 3) (* a c))) 1))>
#<alt (* -1 c)>
#<alt (* -1 (* c (+ 1 (* 2 (/ (pow b_2 3) (* a c))))))>
#<alt (* -1 (* c (+ 1 (* 2 (/ (pow b_2 3) (* a c))))))>
#<alt (* -1 (* c (+ 1 (* 2 (/ (pow b_2 3) (* a c))))))>
#<alt (* -1 (sqrt (* a c)))>
#<alt (- b_2 (sqrt (* a c)))>
#<alt (- (* b_2 (+ 1 (* -1 (* (sqrt (/ 1 (* a c))) b_2)))) (sqrt (* a c)))>
#<alt (- (* b_2 (+ 1 (* b_2 (+ (* -1 (sqrt (/ 1 (* a c)))) (/ b_2 (* a c)))))) (sqrt (* a c)))>
#<alt (* -1 (* (* a c) (sqrt (/ 1 (pow b_2 5)))))>
#<alt (/ (- (/ (* a c) b_2) (* (* a c) (sqrt b_2))) (pow b_2 3))>
#<alt (/ (- (+ (* -1 (* (* a c) (sqrt (/ 1 (pow b_2 5))))) (/ (* a c) b_2)) (* (* a c) (sqrt b_2))) (pow b_2 3))>
#<alt (/ (- (+ (* -1 (* (* a c) (sqrt (/ 1 (pow b_2 5))))) (+ (* 1/2 (* (* (pow a 2) (pow c 2)) (sqrt (/ 1 (pow b_2 9))))) (+ (/ (* a c) b_2) (/ (* a c) (pow b_2 4))))) (* (* a c) (sqrt b_2))) (pow b_2 3))>
#<alt (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 5))))>
#<alt (* -1 (/ (- (/ (* a c) b_2) (* (* a (* c (sqrt -1))) (sqrt b_2))) (pow b_2 3)))>
#<alt (* -1 (/ (- (+ (* -1 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 5))))) (/ (* a c) b_2)) (* (* a (* c (sqrt -1))) (sqrt b_2))) (pow b_2 3)))>
#<alt (* -1 (/ (- (+ (* -1 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 5))))) (+ (* -1 (/ (* a c) (pow b_2 4))) (+ (* 1/2 (* (* (pow a 2) (* (pow c 2) (sqrt -1))) (sqrt (/ 1 (pow b_2 9))))) (/ (* a c) b_2)))) (* (* a (* c (sqrt -1))) (sqrt b_2))) (pow b_2 3)))>
#<alt (* -1 (/ (* a c) (+ b_2 (pow b_2 2))))>
#<alt (* a (- (* 1/2 (/ (* a (pow c 2)) (* (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2)))) (/ c (+ b_2 (pow b_2 2)))))>
#<alt (* a (- (* a (+ (* 1/2 (/ (pow c 2) (* (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2)))) (* a (+ (* -1/4 (/ (pow c 3) (* (pow b_2 4) (pow (+ b_2 (pow b_2 2)) 3)))) (* -1/8 (/ (pow c 3) (* (pow b_2 6) (pow (+ b_2 (pow b_2 2)) 2)))))))) (/ c (+ b_2 (pow b_2 2)))))>
#<alt (* a (- (* a (+ (* 1/2 (/ (pow c 2) (* (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2)))) (* a (+ (* -1/4 (/ (pow c 3) (* (pow b_2 4) (pow (+ b_2 (pow b_2 2)) 3)))) (+ (* -1/8 (/ (pow c 3) (* (pow b_2 6) (pow (+ b_2 (pow b_2 2)) 2)))) (* a (+ (* -1/2 (/ (* c (+ (* -1/4 (/ (pow c 3) (* (pow b_2 4) (pow (+ b_2 (pow b_2 2)) 3)))) (* -1/8 (/ (pow c 3) (* (pow b_2 6) (pow (+ b_2 (pow b_2 2)) 2)))))) (* (pow b_2 2) (+ b_2 (pow b_2 2))))) (+ (* 1/16 (/ (pow c 4) (* (pow b_2 8) (pow (+ b_2 (pow b_2 2)) 3)))) (* 1/16 (/ (pow c 4) (* (pow b_2 10) (pow (+ b_2 (pow b_2 2)) 2)))))))))))) (/ c (+ b_2 (pow b_2 2)))))>
#<alt (* -1 (sqrt (* a c)))>
#<alt (- b_2 (sqrt (* a c)))>
#<alt (- (+ b_2 (+ (* -1 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 4))))) (sqrt (* a c)))>
#<alt (- (+ b_2 (+ (* -1 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) c)) (pow b_2 2))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (pow b_2 4))))))) (+ (* -1/2 (/ (pow b_2 5) (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 4))))))) (sqrt (* a c)))>
#<alt (sqrt (* a c))>
#<alt (- (* -1 (/ b_2 (pow (sqrt -1) 2))) (* -1 (sqrt (* a c))))>
#<alt (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ a c)) (/ (pow b_2 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b_2 6) (pow (sqrt -1) 2))))) (* -1 (/ (* a b_2) (pow (sqrt -1) 2)))) a)) (* -1 (sqrt (* a c))))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 6) (pow (sqrt -1) 2)))))))) (* -1/2 (/ (* a (pow b_2 7)) (* c (pow (sqrt -1) 4))))) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 6) (pow (sqrt -1) 2)))))) a)) (* -1 (/ (* a b_2) (pow (sqrt -1) 2)))) a)) (* -1 (sqrt (* a c))))>
#<alt (* -1 (/ (* a c) (+ b_2 (pow b_2 2))))>
#<alt (* c (- (* 1/2 (/ (* (pow a 2) c) (* (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2)))) (/ a (+ b_2 (pow b_2 2)))))>
#<alt (* c (- (* c (+ (* 1/2 (/ (pow a 2) (* (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2)))) (* c (+ (* -1/4 (/ (pow a 3) (* (pow b_2 4) (pow (+ b_2 (pow b_2 2)) 3)))) (* -1/8 (/ (pow a 3) (* (pow b_2 6) (pow (+ b_2 (pow b_2 2)) 2)))))))) (/ a (+ b_2 (pow b_2 2)))))>
#<alt (* c (- (* c (+ (* 1/2 (/ (pow a 2) (* (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2)))) (* c (+ (* -1/4 (/ (pow a 3) (* (pow b_2 4) (pow (+ b_2 (pow b_2 2)) 3)))) (+ (* -1/8 (/ (pow a 3) (* (pow b_2 6) (pow (+ b_2 (pow b_2 2)) 2)))) (* c (+ (* -1/2 (/ (* a (+ (* -1/4 (/ (pow a 3) (* (pow b_2 4) (pow (+ b_2 (pow b_2 2)) 3)))) (* -1/8 (/ (pow a 3) (* (pow b_2 6) (pow (+ b_2 (pow b_2 2)) 2)))))) (* (pow b_2 2) (+ b_2 (pow b_2 2))))) (+ (* 1/16 (/ (pow a 4) (* (pow b_2 8) (pow (+ b_2 (pow b_2 2)) 3)))) (* 1/16 (/ (pow a 4) (* (pow b_2 10) (pow (+ b_2 (pow b_2 2)) 2)))))))))))) (/ a (+ b_2 (pow b_2 2)))))>
#<alt (* -1 (sqrt c))>
#<alt (- b_2 (sqrt c))>
#<alt (- (+ b_2 (+ (* -1 (* (pow b_2 2) (sqrt (/ 1 c)))) (* 1/2 (* (pow b_2 4) (sqrt (/ 1 c)))))) (sqrt c))>
#<alt (- (+ b_2 (+ (* -1 (* (* b_2 (+ (* -1 (* (pow b_2 2) (sqrt (pow c 3)))) (* 1/2 (* (pow b_2 4) (sqrt (pow c 3)))))) (sqrt (/ 1 (pow c 5))))) (+ (* -1 (* (pow b_2 2) (sqrt (/ 1 c)))) (+ (* -1/2 (/ (pow b_2 5) c)) (* 1/2 (* (pow b_2 4) (sqrt (/ 1 c)))))))) (sqrt c))>
#<alt (sqrt c)>
#<alt (- (* -1 (/ b_2 (pow (sqrt -1) 2))) (* -1 (sqrt c)))>
#<alt (- (* -1 (/ (- (+ (* -1 (* (/ (pow b_2 2) (pow (sqrt -1) 2)) (sqrt c))) (* 1/2 (* (/ (pow b_2 6) (pow (sqrt -1) 2)) (sqrt c)))) (* -1 (/ (* b_2 c) (pow (sqrt -1) 2)))) c)) (* -1 (sqrt c)))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (* b_2 (+ (* -1 (* (/ (pow b_2 2) (pow (sqrt -1) 2)) (sqrt (pow c 3)))) (* 1/2 (* (/ (pow b_2 6) (pow (sqrt -1) 2)) (sqrt (pow c 3)))))) (sqrt (/ 1 c)))) (* -1/2 (/ (* (pow b_2 7) c) (pow (sqrt -1) 4)))) (+ (* -1 (* (/ (pow b_2 2) (pow (sqrt -1) 2)) (sqrt (pow c 3)))) (* 1/2 (* (/ (pow b_2 6) (pow (sqrt -1) 2)) (sqrt (pow c 3)))))) c)) (* -1 (/ (* b_2 c) (pow (sqrt -1) 2)))) c)) (* -1 (sqrt c)))>
#<alt (* -1 (sqrt (/ c a)))>
#<alt (+ (* -1 (sqrt (/ c a))) (/ b_2 a))>
#<alt (+ (* -1 (sqrt (/ c a))) (* b_2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) b_2)) (/ 1 a))))>
#<alt (+ (* -1 (sqrt (/ c a))) (* b_2 (+ (* b_2 (+ (* -1 (sqrt (/ 1 (* (pow a 3) c)))) (/ b_2 (* (pow a 2) c)))) (/ 1 a))))>
#<alt (* -1 (/ c (pow b_2 3)))>
#<alt (/ (+ (* -1 c) (/ c (pow b_2 2))) (pow b_2 3))>
#<alt (/ (+ (* -1 c) (+ (* -1 (/ c (pow b_2 4))) (/ c (pow b_2 2)))) (pow b_2 3))>
#<alt (/ (+ (* -1 c) (+ (* -1 (/ c (pow b_2 4))) (+ (* 1/2 (/ (* a (pow c 2)) (pow b_2 6))) (+ (/ c (pow b_2 2)) (/ c (pow b_2 6)))))) (pow b_2 3))>
#<alt (/ c (pow b_2 3))>
#<alt (* -1 (/ (+ (* -1 c) (* -1 (/ c (pow b_2 2)))) (pow b_2 3)))>
#<alt (* -1 (/ (+ (* -1 c) (+ (* -1 (/ c (pow b_2 2))) (* -1 (/ c (pow b_2 4))))) (pow b_2 3)))>
#<alt (* -1 (/ (+ (* -1 c) (+ (* -1 (/ c (pow b_2 2))) (+ (* -1 (/ c (pow b_2 4))) (+ (* -1 (/ c (pow b_2 6))) (* 1/2 (/ (* a (pow c 2)) (pow b_2 6))))))) (pow b_2 3)))>
#<alt (* -1 (/ c (+ b_2 (sqrt (pow b_2 5)))))>
#<alt (+ (* -1 (/ c (+ b_2 (sqrt (pow b_2 5))))) (* 1/2 (* (/ (* a (pow c 2)) (pow (+ b_2 (sqrt (pow b_2 5))) 2)) (sqrt (/ 1 (pow b_2 5))))))>
#<alt (+ (* -1 (/ c (+ b_2 (sqrt (pow b_2 5))))) (* a (+ (* 1/2 (* (sqrt (/ 1 (pow b_2 5))) (/ (pow c 2) (pow (+ b_2 (sqrt (pow b_2 5))) 2)))) (* a (+ (* -1/4 (/ (pow c 3) (* (pow b_2 5) (pow (+ b_2 (sqrt (pow b_2 5))) 3)))) (* -1/8 (* (sqrt (/ 1 (pow b_2 15))) (/ (pow c 3) (pow (+ b_2 (sqrt (pow b_2 5))) 2)))))))))>
#<alt (+ (* -1 (/ c (+ b_2 (sqrt (pow b_2 5))))) (* a (+ (* 1/2 (* (sqrt (/ 1 (pow b_2 5))) (/ (pow c 2) (pow (+ b_2 (sqrt (pow b_2 5))) 2)))) (* a (+ (* -1/4 (/ (pow c 3) (* (pow b_2 5) (pow (+ b_2 (sqrt (pow b_2 5))) 3)))) (+ (* -1/8 (* (sqrt (/ 1 (pow b_2 15))) (/ (pow c 3) (pow (+ b_2 (sqrt (pow b_2 5))) 2)))) (* a (+ (* -1/2 (* (sqrt (/ 1 (pow b_2 5))) (/ (* c (+ (* -1/4 (/ (pow c 3) (* (pow b_2 5) (pow (+ b_2 (sqrt (pow b_2 5))) 3)))) (* -1/8 (* (sqrt (/ 1 (pow b_2 15))) (/ (pow c 3) (pow (+ b_2 (sqrt (pow b_2 5))) 2)))))) (+ b_2 (sqrt (pow b_2 5)))))) (+ (* 1/16 (* (sqrt (/ 1 (pow b_2 25))) (/ (pow c 4) (pow (+ b_2 (sqrt (pow b_2 5))) 2)))) (* 1/16 (/ (pow c 4) (* (pow b_2 10) (pow (+ b_2 (sqrt (pow b_2 5))) 3)))))))))))))>
#<alt (* -1 (sqrt (/ c a)))>
#<alt (/ (+ b_2 (* -1 (sqrt (* a c)))) a)>
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#<alt (/ (+ b_2 (+ (* -1 (sqrt (* a c))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) c)) (pow b_2 2))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (pow b_2 5))))))) (+ (* -1/2 (/ (pow b_2 6) (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 5)))))))) a)>
#<alt (sqrt (/ c a))>
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#<alt (* -1 (/ (+ (* -1 (sqrt (* a c))) (* -1 (/ (+ (* -1 (/ (* a b_2) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 6) (pow (sqrt -1) 2))))) a))) a))) a))>
#<alt (* -1 (/ (+ (* -1 (sqrt (* a c))) (* -1 (/ (+ (* -1 (/ (* a b_2) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 2)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 6) (pow (sqrt -1) 2)))))))) (* -1/2 (/ (* (pow a 2) (pow b_2 7)) (* c (pow (sqrt -1) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 6) (pow (sqrt -1) 2)))))) a))) a))) a))>
#<alt (* -1 (/ c (+ b_2 (sqrt (pow b_2 5)))))>
#<alt (* c (- (* 1/2 (* (/ (* a c) (pow (+ b_2 (sqrt (pow b_2 5))) 2)) (sqrt (/ 1 (pow b_2 5))))) (/ 1 (+ b_2 (sqrt (pow b_2 5))))))>
#<alt (* c (- (* c (+ (* 1/2 (* (/ a (pow (+ b_2 (sqrt (pow b_2 5))) 2)) (sqrt (/ 1 (pow b_2 5))))) (* c (+ (* -1/4 (/ (pow a 2) (* (pow b_2 5) (pow (+ b_2 (sqrt (pow b_2 5))) 3)))) (* -1/8 (* (/ (pow a 2) (pow (+ b_2 (sqrt (pow b_2 5))) 2)) (sqrt (/ 1 (pow b_2 15))))))))) (/ 1 (+ b_2 (sqrt (pow b_2 5))))))>
#<alt (* c (- (* c (+ (* 1/2 (* (/ a (pow (+ b_2 (sqrt (pow b_2 5))) 2)) (sqrt (/ 1 (pow b_2 5))))) (* c (+ (* -1/4 (/ (pow a 2) (* (pow b_2 5) (pow (+ b_2 (sqrt (pow b_2 5))) 3)))) (+ (* -1/8 (* (/ (pow a 2) (pow (+ b_2 (sqrt (pow b_2 5))) 2)) (sqrt (/ 1 (pow b_2 15))))) (* c (+ (* -1/2 (* (/ (* a (+ (* -1/4 (/ (pow a 2) (* (pow b_2 5) (pow (+ b_2 (sqrt (pow b_2 5))) 3)))) (* -1/8 (* (/ (pow a 2) (pow (+ b_2 (sqrt (pow b_2 5))) 2)) (sqrt (/ 1 (pow b_2 15))))))) (+ b_2 (sqrt (pow b_2 5)))) (sqrt (/ 1 (pow b_2 5))))) (+ (* 1/16 (* (/ (pow a 3) (pow (+ b_2 (sqrt (pow b_2 5))) 2)) (sqrt (/ 1 (pow b_2 25))))) (* 1/16 (/ (pow a 3) (* (pow b_2 10) (pow (+ b_2 (sqrt (pow b_2 5))) 3)))))))))))) (/ 1 (+ b_2 (sqrt (pow b_2 5))))))>
#<alt (* -1 (sqrt c))>
#<alt (+ b_2 (* -1 (sqrt c)))>
#<alt (- (+ (* -1 (sqrt c)) (* -1 (/ (+ (* -1/2 (* (pow b_2 5) (sqrt (pow c 3)))) (* (pow b_2 2) (sqrt (pow c 3)))) (pow c 2)))) (* -1 b_2))>
#<alt (- (+ (* -1 (sqrt c)) (* -1 (/ (+ (* -1 (* (* b_2 (+ (* -1/2 (* (pow b_2 5) (sqrt (pow c 3)))) (* (pow b_2 2) (sqrt (pow c 3))))) (sqrt c))) (* 1/2 (* (pow b_2 6) (pow c 2)))) (pow c 3)))) (+ (* -1 b_2) (+ (* -1/2 (* (pow b_2 5) (sqrt (/ 1 c)))) (* (pow b_2 2) (sqrt (/ 1 c))))))>
#<alt (sqrt c)>
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#<alt (+ (sqrt c) (* -1 (/ (- (+ (* -1 (* (/ (pow b_2 2) (pow (sqrt -1) 2)) (sqrt c))) (* 1/2 (* (/ (pow b_2 7) (pow (sqrt -1) 2)) (sqrt c)))) (* -1 (/ (* b_2 c) (pow (sqrt -1) 2)))) c)))>
#<alt (+ (sqrt c) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (* b_2 (+ (* -1 (* (/ (pow b_2 2) (pow (sqrt -1) 2)) (sqrt (pow c 3)))) (* 1/2 (* (/ (pow b_2 7) (pow (sqrt -1) 2)) (sqrt (pow c 3)))))) (sqrt (/ 1 c)))) (* -1/2 (/ (* (pow b_2 8) c) (pow (sqrt -1) 4)))) (+ (* -1 (* (/ (pow b_2 2) (pow (sqrt -1) 2)) (sqrt (pow c 3)))) (* 1/2 (* (/ (pow b_2 7) (pow (sqrt -1) 2)) (sqrt (pow c 3)))))) c)) (* -1 (/ (* b_2 c) (pow (sqrt -1) 2)))) c)))>
#<alt (* (sqrt (/ 1 (* a c))) b_2)>
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#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* c (+ (* -1/4 (/ (pow c 2) (* (pow b_2 3) (pow (+ b_2 (pow b_2 2)) 3)))) (* -1/8 (/ (pow c 2) (* (pow b_2 5) (pow (+ b_2 (pow b_2 2)) 2)))))) (* (pow b_2 2) (+ b_2 (pow b_2 2))))) (+ (* 1/16 (/ (pow c 3) (* (pow b_2 7) (pow (+ b_2 (pow b_2 2)) 3)))) (* 1/16 (/ (pow c 3) (* (pow b_2 9) (pow (+ b_2 (pow b_2 2)) 2)))))))) (+ (* -1/4 (/ (pow c 2) (* (pow b_2 3) (pow (+ b_2 (pow b_2 2)) 3)))) (* -1/8 (/ (pow c 2) (* (pow b_2 5) (pow (+ b_2 (pow b_2 2)) 2))))))) (* 1/2 (/ c (* b_2 (pow (+ b_2 (pow b_2 2)) 2)))))) (/ b_2 (+ b_2 (pow b_2 2))))>
#<alt (* (sqrt (/ 1 (* a c))) b_2)>
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#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (pow b_2 3))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (pow b_2 5))))))) (* -1/2 (/ (* (pow a 2) (pow b_2 6)) (pow c 2)))) (pow a 3))) (* (sqrt (/ a c)) b_2)) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 3))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 5))) (/ (pow b_2 2) c)))) a)>
#<alt (* -1 (* (sqrt (/ 1 (* a c))) b_2))>
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#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 3) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 7) (pow (sqrt -1) 2)))))))) (* -1/2 (/ (* a (pow b_2 8)) (* (pow c 2) (pow (sqrt -1) 4))))) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 3) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 7) (pow (sqrt -1) 2)))))) a)) (* -1 (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2))))) a)) (* (sqrt (/ a c)) b_2)) a))>
#<alt (/ b_2 (+ b_2 (pow b_2 2)))>
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#<alt (+ (* c (- (* c (- (* -1 (* c (+ (* -1/2 (/ (* a (+ (* -1/4 (/ (pow a 2) (* (pow b_2 3) (pow (+ b_2 (pow b_2 2)) 3)))) (* -1/8 (/ (pow a 2) (* (pow b_2 5) (pow (+ b_2 (pow b_2 2)) 2)))))) (* (pow b_2 2) (+ b_2 (pow b_2 2))))) (+ (* 1/16 (/ (pow a 3) (* (pow b_2 7) (pow (+ b_2 (pow b_2 2)) 3)))) (* 1/16 (/ (pow a 3) (* (pow b_2 9) (pow (+ b_2 (pow b_2 2)) 2)))))))) (+ (* -1/4 (/ (pow a 2) (* (pow b_2 3) (pow (+ b_2 (pow b_2 2)) 3)))) (* -1/8 (/ (pow a 2) (* (pow b_2 5) (pow (+ b_2 (pow b_2 2)) 2))))))) (* 1/2 (/ a (* b_2 (pow (+ b_2 (pow b_2 2)) 2)))))) (/ b_2 (+ b_2 (pow b_2 2))))>
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#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (* b_2 (+ (* -1 (* (/ (pow b_2 3) (pow (sqrt -1) 2)) (sqrt (pow c 3)))) (* 1/2 (* (/ (pow b_2 7) (pow (sqrt -1) 2)) (sqrt (pow c 3)))))) (sqrt (/ 1 c)))) (* -1/2 (/ (* (pow b_2 8) c) (pow (sqrt -1) 4)))) (+ (* -1 (* (/ (pow b_2 3) (pow (sqrt -1) 2)) (sqrt (pow c 3)))) (* 1/2 (* (/ (pow b_2 7) (pow (sqrt -1) 2)) (sqrt (pow c 3)))))) c)) (* -1 (/ (* (pow b_2 2) c) (pow (sqrt -1) 2)))) c)) (* b_2 (sqrt c))) c))>
#<alt (sqrt (* a c))>
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#<alt (sqrt c)>
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#<alt (/ -1 a)>
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#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (* a b_2)>
#<alt (* a b_2)>
#<alt (* a b_2)>
#<alt (* a b_2)>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt 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 (sqrt (* a c))>
#<alt (+ (sqrt (* a c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 4))))>
#<alt (+ (sqrt (* a c)) (* (pow b_2 4) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 4))) (* 1/2 (sqrt (/ 1 (* a c)))))))>
#<alt (+ (sqrt (* a c)) (* (pow b_2 4) (+ (* 1/2 (sqrt (/ 1 (* a c)))) (* (pow b_2 4) (+ (* -1/8 (sqrt (/ 1 (* (pow a 3) (pow c 3))))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 4))))))))>
#<alt (sqrt (pow b_2 5))>
#<alt (* (pow b_2 3) (+ (sqrt (/ 1 b_2)) (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 11)))))))>
#<alt (* (pow b_2 3) (+ (sqrt (/ 1 b_2)) (+ (* -1/8 (* (* (pow a 2) (pow c 2)) (sqrt (/ 1 (pow b_2 21))))) (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 11))))))))>
#<alt (* (pow b_2 3) (+ (sqrt (/ 1 b_2)) (+ (* -1/8 (* (* (pow a 2) (pow c 2)) (sqrt (/ 1 (pow b_2 21))))) (+ (* 1/16 (* (* (pow a 3) (pow c 3)) (sqrt (/ 1 (pow b_2 31))))) (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 11)))))))))>
#<alt (* -1 (* (sqrt (pow b_2 5)) (sqrt -1)))>
#<alt (* -1 (* (pow b_2 3) (+ (* 1/2 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 11))))) (* (sqrt (/ 1 b_2)) (sqrt -1)))))>
#<alt (* -1 (* (pow b_2 3) (+ (* -1/8 (* (* (pow a 2) (* (pow c 2) (sqrt -1))) (sqrt (/ 1 (pow b_2 21))))) (+ (* 1/2 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 11))))) (* (sqrt (/ 1 b_2)) (sqrt -1))))))>
#<alt (* -1 (* (pow b_2 3) (+ (* -1/8 (* (* (pow a 2) (* (pow c 2) (sqrt -1))) (sqrt (/ 1 (pow b_2 21))))) (+ (* 1/16 (* (* (pow a 3) (* (pow c 3) (sqrt -1))) (sqrt (/ 1 (pow b_2 31))))) (+ (* 1/2 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 11))))) (* (sqrt (/ 1 b_2)) (sqrt -1)))))))>
#<alt (pow b_2 2)>
#<alt (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow b_2 2))>
#<alt (+ (* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 6))) (* 1/2 (/ c (pow b_2 2))))) (pow b_2 2))>
#<alt (+ (* a (+ (* 1/2 (/ c (pow b_2 2))) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 6))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 10))))))) (pow b_2 2))>
#<alt (sqrt (* a c))>
#<alt (* a (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 4)))))>
#<alt (* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 8))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 4))))))>
#<alt (* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 8))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (pow b_2 12))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 4)))))))>
#<alt (* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 6))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 12) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 6))) (* (sqrt (/ c a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 12) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 18) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 6))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))))>
#<alt (pow b_2 2)>
#<alt (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow b_2 2))>
#<alt (+ (* c (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 6))) (* 1/2 (/ a (pow b_2 2))))) (pow b_2 2))>
#<alt (+ (* c (+ (* 1/2 (/ a (pow b_2 2))) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 6))) (* 1/16 (/ (* (pow a 3) c) (pow b_2 10))))))) (pow b_2 2))>
#<alt (sqrt c)>
#<alt (* c (+ (sqrt (/ 1 c)) (* 1/2 (* (pow b_2 4) (sqrt (/ 1 (pow c 3)))))))>
#<alt (* c (+ (sqrt (/ 1 c)) (+ (* -1/8 (* (pow b_2 8) (sqrt (/ 1 (pow c 5))))) (* 1/2 (* (pow b_2 4) (sqrt (/ 1 (pow c 3))))))))>
#<alt (* c (+ (sqrt (/ 1 c)) (+ (* -1/8 (* (pow b_2 8) (sqrt (/ 1 (pow c 5))))) (+ (* 1/16 (* (pow b_2 12) (sqrt (/ 1 (pow c 7))))) (* 1/2 (* (pow b_2 4) (sqrt (/ 1 (pow c 3)))))))))>
#<alt (* -1 (* (sqrt c) (pow (sqrt -1) 2)))>
#<alt (* -1 (* c (+ (* 1/2 (* (pow b_2 6) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* c (+ (* -1/8 (* (/ (pow b_2 12) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow c 5))))) (+ (* 1/2 (* (pow b_2 6) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* c (+ (* -1/8 (* (/ (pow b_2 12) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow c 5))))) (+ (* 1/16 (* (/ (pow b_2 18) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow c 7))))) (+ (* 1/2 (* (pow b_2 6) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))))>

Calls

153 calls:

Time	Variable		Point	Expression
11.0ms	b_2	@	0	(/ (+ (* b_2 b_2) (+ (* b_2 b_2) (* a c))) a)
6.0ms	a	@	-inf	(/ (neg (/ (+ (* b_2 b_2) (+ (* b_2 b_2) (* a c))) a)) (+ b_2 (sqrt (+ (* b_2 b_2) (* a c)))))
4.0ms	b_2	@	0	(+ b_2 (sqrt (+ (* b_2 b_2) (* a c))))
3.0ms	b_2	@	-inf	(neg (/ (+ (* b_2 b_2) (+ (* b_2 b_2) (* a c))) a))
3.0ms	a	@	inf	(/ (neg (/ (+ (* b_2 b_2) (+ (* b_2 b_2) (* a c))) a)) (+ b_2 (sqrt (+ (* b_2 b_2) (* a c)))))

Compiler

Compiled 2 185 to 1 518 computations (30.5% saved)

rewrite363.0ms (3.3%)

Memory

6.4MiB live, 600.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 818×	`lower-/.f32`
4 800×	`lower-/.f64`
4 716×	`lower-fma.f32`
4 710×	`lower-fma.f64`
4 066×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	242
0	57	230
1	239	174
2	2220	174
0	8457	169

Stop Event

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

Counts

21 → 1 008

Calls

Call 1

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

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

simplify461.0ms (4.2%)

Memory

1.7MiB live, 832.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 378×	`lower-*.f64`
7 378×	`lower-*.f32`
6 230×	`lower-fma.f64`
6 230×	`lower-fma.f32`
3 324×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1737	12195
1	5727	11562
0	8097	11124

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 586

Calls

Call 1

Inputs
(sqrt (* a c))
(+ (sqrt (* a c)) (* -1 b_2))
(+ (sqrt (* a c)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 6))) 1)))
(+ (sqrt (* a c)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 6))) 1)))
(sqrt (pow b_2 7))
(* (pow b_2 4) (- (sqrt (/ 1 b_2)) (/ 1 (pow b_2 3))))
(* (pow b_2 4) (- (+ (sqrt (/ 1 b_2)) (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 15)))))) (/ 1 (pow b_2 3))))
(* (pow b_2 4) (- (+ (sqrt (/ 1 b_2)) (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 15)))))) (/ 1 (pow b_2 3))))
(* (sqrt (pow b_2 7)) (sqrt -1))
(* (pow b_2 4) (- (* (sqrt (/ 1 b_2)) (sqrt -1)) (/ 1 (pow b_2 3))))
(* (pow b_2 4) (+ (* -1 (/ (+ 1 (* -1/2 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 9)))))) (pow b_2 3))) (* (sqrt (/ 1 b_2)) (sqrt -1))))
(* (pow b_2 4) (+ (* -1 (/ (+ 1 (* -1/2 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 9)))))) (pow b_2 3))) (* (sqrt (/ 1 b_2)) (sqrt -1))))
(- (sqrt (pow b_2 7)) b_2)
(- (+ (sqrt (pow b_2 7)) (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 7)))))) b_2)
(- (+ (sqrt (pow b_2 7)) (* a (+ (* -1/8 (* (* a (pow c 2)) (sqrt (/ 1 (pow b_2 21))))) (* 1/2 (* (sqrt (/ 1 (pow b_2 7))) c))))) b_2)
(- (+ (sqrt (pow b_2 7)) (* a (+ (* 1/2 (* (sqrt (/ 1 (pow b_2 7))) c)) (* a (+ (* -1/8 (* (sqrt (/ 1 (pow b_2 21))) (pow c 2))) (* 1/16 (* (* a (pow c 3)) (sqrt (/ 1 (pow b_2 35)))))))))) b_2)
(sqrt (* a c))
(* a (+ (sqrt (/ c a)) (* -1 (/ b_2 a))))
(* a (- (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 7)))) (/ b_2 a)))
(* a (- (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 14))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 7))))) (/ b_2 a)))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 2)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 9))) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 18) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ a c)) (pow b_2 9)))) a)) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(- (sqrt (pow b_2 7)) b_2)
(- (+ (sqrt (pow b_2 7)) (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 7)))))) b_2)
(- (+ (sqrt (pow b_2 7)) (* c (+ (* -1/8 (* (* (pow a 2) c) (sqrt (/ 1 (pow b_2 21))))) (* 1/2 (* a (sqrt (/ 1 (pow b_2 7)))))))) b_2)
(- (+ (sqrt (pow b_2 7)) (* c (+ (* 1/2 (* a (sqrt (/ 1 (pow b_2 7))))) (* c (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b_2 21))))) (* 1/16 (* (* (pow a 3) c) (sqrt (/ 1 (pow b_2 35)))))))))) b_2)
(sqrt c)
(* c (+ (sqrt (/ 1 c)) (* -1 (/ b_2 c))))
(* c (- (+ (sqrt (/ 1 c)) (* 1/2 (* (pow b_2 7) (sqrt (/ 1 (pow c 3)))))) (/ b_2 c)))
(* c (- (+ (sqrt (/ 1 c)) (+ (* -1/8 (* (pow b_2 14) (sqrt (/ 1 (pow c 5))))) (* 1/2 (* (pow b_2 7) (sqrt (/ 1 (pow c 3))))))) (/ b_2 c)))
(* -1 (* (sqrt c) (pow (sqrt -1) 2)))
(* -1 (* c (+ (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (pow b_2 9) (sqrt (/ 1 c)))) b_2) c)) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (/ (pow b_2 18) (pow (sqrt -1) 2)) (sqrt (/ 1 c)))) (* 1/2 (* (pow b_2 9) (sqrt c)))) c)) b_2) c)) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))
(sqrt (/ c a))
(+ (sqrt (/ c a)) (* -1 (/ b_2 a)))
(+ (sqrt (/ c a)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 6))) (/ 1 a))))
(+ (sqrt (/ c a)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 6))) (/ 1 a))))
(* (/ 1 a) (sqrt (pow b_2 7)))
(* (pow b_2 4) (- (* (/ 1 a) (sqrt (/ 1 b_2))) (/ 1 (* a (pow b_2 3)))))
(* (pow b_2 4) (- (+ (* 1/2 (* (sqrt (/ 1 (pow b_2 15))) c)) (* (/ 1 a) (sqrt (/ 1 b_2)))) (/ 1 (* a (pow b_2 3)))))
(* (pow b_2 4) (- (+ (* 1/2 (* (sqrt (/ 1 (pow b_2 15))) c)) (* (/ 1 a) (sqrt (/ 1 b_2)))) (/ 1 (* a (pow b_2 3)))))
(* (/ (sqrt -1) a) (sqrt (pow b_2 7)))
(* (pow b_2 4) (- (* (/ (sqrt -1) a) (sqrt (/ 1 b_2))) (/ 1 (* a (pow b_2 3)))))
(* (pow b_2 4) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (pow b_2 9))) (* c (sqrt -1)))) (/ 1 a)) (pow b_2 3))) (* (/ (sqrt -1) a) (sqrt (/ 1 b_2)))))
(* (pow b_2 4) (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (pow b_2 9))) (* c (sqrt -1)))) (/ 1 a)) (pow b_2 3))) (* (/ (sqrt -1) a) (sqrt (/ 1 b_2)))))
(/ (- (sqrt (pow b_2 7)) b_2) a)
(/ (- (+ (sqrt (pow b_2 7)) (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 7)))))) b_2) a)
(/ (- (+ (sqrt (pow b_2 7)) (* a (+ (* -1/8 (* (* a (pow c 2)) (sqrt (/ 1 (pow b_2 21))))) (* 1/2 (* (sqrt (/ 1 (pow b_2 7))) c))))) b_2) a)
(/ (- (+ (sqrt (pow b_2 7)) (* a (+ (* 1/2 (* (sqrt (/ 1 (pow b_2 7))) c)) (* a (+ (* -1/8 (* (sqrt (/ 1 (pow b_2 21))) (pow c 2))) (* 1/16 (* (* a (pow c 3)) (sqrt (/ 1 (pow b_2 35)))))))))) b_2) a)
(sqrt (/ c a))
(+ (sqrt (/ c a)) (* -1 (/ b_2 a)))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 7)))))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 14))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 7))))))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 9)))) a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (pow b_2 9))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 18) (pow (sqrt -1) 2))))) a))) a)))
(/ (- (sqrt (pow b_2 7)) b_2) a)
(- (+ (* 1/2 (* (sqrt (/ 1 (pow b_2 7))) c)) (* (/ 1 a) (sqrt (pow b_2 7)))) (/ b_2 a))
(- (+ (* c (+ (* -1/8 (* (* a c) (sqrt (/ 1 (pow b_2 21))))) (* 1/2 (sqrt (/ 1 (pow b_2 7)))))) (* (/ 1 a) (sqrt (pow b_2 7)))) (/ b_2 a))
(- (+ (* c (+ (* 1/2 (sqrt (/ 1 (pow b_2 7)))) (* c (+ (* -1/8 (* a (sqrt (/ 1 (pow b_2 21))))) (* 1/16 (* (* (pow a 2) c) (sqrt (/ 1 (pow b_2 35))))))))) (* (/ 1 a) (sqrt (pow b_2 7)))) (/ b_2 a))
(* (/ 1 a) (sqrt c))
(* c (+ (* -1 (/ b_2 (* a c))) (* (/ 1 a) (sqrt (/ 1 c)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (/ (pow b_2 7) a) (sqrt (/ 1 (pow c 3))))) (* (/ 1 a) (sqrt (/ 1 c))))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (/ (pow b_2 14) a) (sqrt (/ 1 (pow c 5))))) (+ (* 1/2 (* (/ (pow b_2 7) a) (sqrt (/ 1 (pow c 3))))) (* (/ 1 a) (sqrt (/ 1 c)))))))
(* -1 (* (/ (pow (sqrt -1) 2) a) (sqrt c)))
(* -1 (* c (+ (* (/ (pow (sqrt -1) 2) a) (sqrt (/ 1 c))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (/ (pow b_2 9) a) (sqrt (/ 1 c))))) c)) (* (/ (pow (sqrt -1) 2) a) (sqrt (/ 1 c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (/ (pow b_2 18) (* a (pow (sqrt -1) 2))) (sqrt (/ 1 c)))) (* 1/2 (* (/ (pow b_2 9) a) (sqrt c)))) c))) c)) (* (/ (pow (sqrt -1) 2) a) (sqrt (/ 1 c))))))
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(* -1 b_2)
(sqrt (* a c))
(sqrt (* a c))
(+ (sqrt (* a c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 7))))
(+ (sqrt (* a c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 7))))
(sqrt (pow b_2 7))
(sqrt (pow b_2 7))
(* (pow b_2 4) (+ (sqrt (/ 1 b_2)) (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 15)))))))
(* (pow b_2 4) (+ (sqrt (/ 1 b_2)) (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 15)))))))
(* (sqrt (pow b_2 7)) (sqrt -1))
(* (sqrt (pow b_2 7)) (sqrt -1))
(* (pow b_2 4) (+ (* 1/2 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 15))))) (* (sqrt (/ 1 b_2)) (sqrt -1))))
(* (pow b_2 4) (+ (* 1/2 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 15))))) (* (sqrt (/ 1 b_2)) (sqrt -1))))
(sqrt (pow b_2 7))
(+ (sqrt (pow b_2 7)) (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 7))))))
(+ (sqrt (pow b_2 7)) (* a (+ (* -1/8 (* (* a (pow c 2)) (sqrt (/ 1 (pow b_2 21))))) (* 1/2 (* (sqrt (/ 1 (pow b_2 7))) c)))))
(+ (sqrt (pow b_2 7)) (* a (+ (* 1/2 (* (sqrt (/ 1 (pow b_2 7))) c)) (* a (+ (* -1/8 (* (sqrt (/ 1 (pow b_2 21))) (pow c 2))) (* 1/16 (* (* a (pow c 3)) (sqrt (/ 1 (pow b_2 35))))))))))
(sqrt (* a c))
(* a (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 7)))))
(* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 14))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 7))))))
(* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 14))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (pow b_2 21))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 7)))))))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 9))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 18) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 9))) (* (sqrt (/ c a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 18) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 27) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 9))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))))
(sqrt (pow b_2 7))
(+ (sqrt (pow b_2 7)) (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 7))))))
(+ (sqrt (pow b_2 7)) (* c (+ (* -1/8 (* (* (pow a 2) c) (sqrt (/ 1 (pow b_2 21))))) (* 1/2 (* a (sqrt (/ 1 (pow b_2 7))))))))
(+ (sqrt (pow b_2 7)) (* c (+ (* 1/2 (* a (sqrt (/ 1 (pow b_2 7))))) (* c (+ (* -1/8 (* (pow a 2) (sqrt (/ 1 (pow b_2 21))))) (* 1/16 (* (* (pow a 3) c) (sqrt (/ 1 (pow b_2 35))))))))))
(sqrt c)
(* c (+ (sqrt (/ 1 c)) (* 1/2 (* (pow b_2 7) (sqrt (/ 1 (pow c 3)))))))
(* c (+ (sqrt (/ 1 c)) (+ (* -1/8 (* (pow b_2 14) (sqrt (/ 1 (pow c 5))))) (* 1/2 (* (pow b_2 7) (sqrt (/ 1 (pow c 3))))))))
(* c (+ (sqrt (/ 1 c)) (+ (* -1/8 (* (pow b_2 14) (sqrt (/ 1 (pow c 5))))) (+ (* 1/16 (* (pow b_2 21) (sqrt (/ 1 (pow c 7))))) (* 1/2 (* (pow b_2 7) (sqrt (/ 1 (pow c 3)))))))))
(* -1 (* (sqrt c) (pow (sqrt -1) 2)))
(* -1 (* c (+ (* 1/2 (* (pow b_2 9) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1/8 (* (/ (pow b_2 18) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow c 5))))) (+ (* 1/2 (* (pow b_2 9) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2))))))
(* -1 (* c (+ (* -1/8 (* (/ (pow b_2 18) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow c 5))))) (+ (* 1/16 (* (/ (pow b_2 27) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow c 7))))) (+ (* 1/2 (* (pow b_2 9) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))))
(/ (pow b_2 2) a)
(/ (pow b_2 2) a)
(/ (pow b_2 2) a)
(/ (pow b_2 2) a)
(/ (pow b_2 3) a)
(/ (pow b_2 3) a)
(/ (pow b_2 3) a)
(/ (pow b_2 3) a)
(* -1 (/ (pow b_2 3) a))
(* -1 (/ (pow b_2 3) a))
(* -1 (/ (pow b_2 3) a))
(* -1 (/ (pow b_2 3) a))
(/ (pow b_2 2) a)
(/ (pow b_2 2) a)
(/ (pow b_2 2) a)
(/ (pow b_2 2) a)
(/ (pow b_2 2) a)
(/ (pow b_2 2) a)
(/ (pow b_2 2) a)
(/ (pow b_2 2) a)
(/ (pow b_2 3) a)
(/ (pow b_2 3) a)
(/ (pow b_2 3) a)
(/ (pow b_2 3) a)
b_2
b_2
b_2
b_2
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(/ (- 1 (/ 1 b_2)) a)
(/ (- 1 (/ 1 b_2)) a)
(/ (- 1 (/ 1 b_2)) a)
(/ (- 1 (/ 1 b_2)) a)
(/ (- 1 (/ 1 b_2)) a)
(/ (- 1 (/ 1 b_2)) a)
(/ (- 1 (/ 1 b_2)) a)
(/ (- 1 (/ 1 b_2)) a)
(* -1 (/ (- (/ 1 b_2) 1) a))
(* -1 (/ (- (/ 1 b_2) 1) a))
(* -1 (/ (- (/ 1 b_2) 1) a))
(* -1 (/ (- (/ 1 b_2) 1) a))
(/ -1 (* a b_2))
(/ (- (/ b_2 a) (/ 1 a)) b_2)
(/ (- (/ b_2 a) (/ 1 a)) b_2)
(/ (- (/ b_2 a) (/ 1 a)) b_2)
0
0
0
0
(/ 2 a)
(/ 2 a)
(/ 2 a)
(/ 2 a)
(* -1 (/ b_2 a))
(* b_2 (- (/ b_2 a) (/ 1 a)))
(* b_2 (- (/ b_2 a) (/ 1 a)))
(* b_2 (- (/ b_2 a) (/ 1 a)))
(/ (pow b_2 8) a)
(* (pow b_2 8) (- (/ 1 a) (/ 1 (* a b_2))))
(* (pow b_2 8) (- (/ 1 a) (/ 1 (* a b_2))))
(* (pow b_2 8) (- (/ 1 a) (/ 1 (* a b_2))))
(/ (pow b_2 6) a)
(* (pow b_2 6) (- (/ 1 a) (/ 1 (* a b_2))))
(* (pow b_2 6) (- (/ 1 a) (/ 1 (* a b_2))))
(* (pow b_2 6) (- (/ 1 a) (/ 1 (* a b_2))))
(/ (* (pow b_2 2) (- 1 (/ 1 b_2))) a)
(/ (* (pow b_2 2) (- 1 (/ 1 b_2))) a)
(/ (* (pow b_2 2) (- 1 (/ 1 b_2))) a)
(/ (* (pow b_2 2) (- 1 (/ 1 b_2))) a)
(* -1 b_2)
(+ (* -1 b_2) (/ (pow b_2 2) a))
(+ (* -1 b_2) (/ (pow b_2 2) a))
(+ (* -1 b_2) (/ (pow b_2 2) a))
b_2
(+ b_2 (/ (pow b_2 2) a))
(+ b_2 (/ (pow b_2 2) a))
(+ b_2 (/ (pow b_2 2) a))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
c
(+ c (* 2 (/ (pow b_2 4) a)))
(+ c (* 2 (/ (pow b_2 4) a)))
(+ c (* 2 (/ (pow b_2 4) a)))
(* 2 (/ (pow b_2 4) a))
(* (pow b_2 4) (+ (* 2 (/ 1 a)) (/ c (pow b_2 4))))
(* (pow b_2 4) (+ (* 2 (/ 1 a)) (/ c (pow b_2 4))))
(* (pow b_2 4) (+ (* 2 (/ 1 a)) (/ c (pow b_2 4))))
(* 2 (/ (pow b_2 4) a))
(* (pow b_2 4) (+ (* 2 (/ 1 a)) (/ c (pow b_2 4))))
(* (pow b_2 4) (+ (* 2 (/ 1 a)) (/ c (pow b_2 4))))
(* (pow b_2 4) (+ (* 2 (/ 1 a)) (/ c (pow b_2 4))))
(* 2 (/ (pow b_2 4) a))
(/ (+ (* 2 (pow b_2 4)) (* a c)) a)
(/ (+ (* 2 (pow b_2 4)) (* a c)) a)
(/ (+ (* 2 (pow b_2 4)) (* a c)) a)
c
(+ c (* 2 (/ (pow b_2 4) a)))
(+ c (* 2 (/ (pow b_2 4) a)))
(+ c (* 2 (/ (pow b_2 4) a)))
c
(+ c (* 2 (/ (pow b_2 6) a)))
(+ c (* 2 (/ (pow b_2 6) a)))
(+ c (* 2 (/ (pow b_2 6) a)))
(* 2 (/ (pow b_2 4) a))
(+ c (* 2 (/ (pow b_2 4) a)))
(+ c (* 2 (/ (pow b_2 4) a)))
(+ c (* 2 (/ (pow b_2 4) a)))
(/ c a)
(* c (+ (* 2 (/ (pow b_2 4) (* a c))) (/ 1 a)))
(* c (+ (* 2 (/ (pow b_2 4) (* a c))) (/ 1 a)))
(* c (+ (* 2 (/ (pow b_2 4) (* a c))) (/ 1 a)))
(/ c a)
(* -1 (* c (- (* -2 (/ (pow b_2 6) (* a c))) (/ 1 a))))
(* -1 (* c (- (* -2 (/ (pow b_2 6) (* a c))) (/ 1 a))))
(* -1 (* c (- (* -2 (/ (pow b_2 6) (* a c))) (/ 1 a))))
(* a c)
(+ (* 2 (pow b_2 4)) (* a c))
(+ (* 2 (pow b_2 4)) (* a c))
(+ (* 2 (pow b_2 4)) (* a c))
(* 2 (pow b_2 4))
(* (pow b_2 4) (+ 2 (/ (* a c) (pow b_2 4))))
(* (pow b_2 4) (+ 2 (/ (* a c) (pow b_2 4))))
(* (pow b_2 4) (+ 2 (/ (* a c) (pow b_2 4))))
(* 2 (pow b_2 4))
(* (pow b_2 4) (+ 2 (/ (* a c) (pow b_2 4))))
(* (pow b_2 4) (+ 2 (/ (* a c) (pow b_2 4))))
(* (pow b_2 4) (+ 2 (/ (* a c) (pow b_2 4))))
(* 2 (pow b_2 4))
(+ (* 2 (pow b_2 4)) (* a c))
(+ (* 2 (pow b_2 4)) (* a c))
(+ (* 2 (pow b_2 4)) (* a c))
(* a c)
(* a (+ c (* 2 (/ (pow b_2 4) a))))
(* a (+ c (* 2 (/ (pow b_2 4) a))))
(* a (+ c (* 2 (/ (pow b_2 4) a))))
(* a c)
(* -1 (* a (+ (* -2 (/ (pow b_2 6) a)) (* -1 c))))
(* -1 (* a (+ (* -2 (/ (pow b_2 6) a)) (* -1 c))))
(* -1 (* a (+ (* -2 (/ (pow b_2 6) a)) (* -1 c))))
(* 2 (pow b_2 4))
(+ (* 2 (pow b_2 4)) (* a c))
(+ (* 2 (pow b_2 4)) (* a c))
(+ (* 2 (pow b_2 4)) (* a c))
c
(* c (+ 1 (* 2 (/ (pow b_2 4) c))))
(* c (+ 1 (* 2 (/ (pow b_2 4) c))))
(* c (+ 1 (* 2 (/ (pow b_2 4) c))))
c
(* -1 (* c (- (* -2 (/ (pow b_2 6) c)) 1)))
(* -1 (* c (- (* -2 (/ (pow b_2 6) c)) 1)))
(* -1 (* c (- (* -2 (/ (pow b_2 6) c)) 1)))
(* -1 (sqrt (/ c a)))
(+ (* -1 (sqrt (/ c a))) (/ b_2 a))
(+ (* -1 (sqrt (/ c a))) (* b_2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) b_2)) (/ 1 a))))
(+ (* -1 (sqrt (/ c a))) (* b_2 (+ (* b_2 (+ (* -1 (sqrt (/ 1 (* (pow a 3) c)))) (/ b_2 (* (pow a 2) c)))) (/ 1 a))))
(* -2 (/ (pow b_2 2) a))
(* (pow b_2 2) (- (* 2 (/ 1 (* a b_2))) (* 2 (/ 1 a))))
(* (pow b_2 2) (- (/ 2 (* a b_2)) (+ (* 2 (/ 1 a)) (/ 2 (* a (pow b_2 2))))))
(* (pow b_2 2) (- (+ (* 2 (/ 1 (* a (pow b_2 3)))) (/ 2 (* a b_2))) (+ (* 2 (/ 1 a)) (* 2 (/ 1 (* a (pow b_2 2)))))))
(* -2 (/ (pow b_2 2) a))
(* (pow b_2 2) (- (* 2 (/ 1 (* a b_2))) (* 2 (/ 1 a))))
(* (pow b_2 2) (- (* -1 (/ (- (* 2 (/ 1 (* a b_2))) (* 2 (/ 1 a))) b_2)) (* 2 (/ 1 a))))
(* (pow b_2 2) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 (* a b_2))) (* 2 (/ 1 a))) b_2)) (* 2 (/ 1 a))) b_2)) (* 2 (/ 1 a))))
(* -2 (/ (pow b_2 4) (* a (+ b_2 (pow b_2 2)))))
(/ (+ (* -2 (/ (pow b_2 4) (+ b_2 (pow b_2 2)))) (* -1 (* a (- (/ c (+ b_2 (pow b_2 2))) (/ (* (pow b_2 2) c) (pow (+ b_2 (pow b_2 2)) 2)))))) a)
(/ (+ (* -2 (/ (pow b_2 4) (+ b_2 (pow b_2 2)))) (* a (+ (* -1 (- (/ c (+ b_2 (pow b_2 2))) (/ (* (pow b_2 2) c) (pow (+ b_2 (pow b_2 2)) 2)))) (* a (+ (* -1/4 (/ (pow c 2) (* (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2)))) (* 1/2 (/ (* c (- (/ c (+ b_2 (pow b_2 2))) (/ (* (pow b_2 2) c) (pow (+ b_2 (pow b_2 2)) 2)))) (* (pow b_2 2) (+ b_2 (pow b_2 2)))))))))) a)
(/ (+ (* -2 (/ (pow b_2 4) (+ b_2 (pow b_2 2)))) (* a (+ (* -1 (- (/ c (+ b_2 (pow b_2 2))) (/ (* (pow b_2 2) c) (pow (+ b_2 (pow b_2 2)) 2)))) (* a (+ (* -1/4 (/ (pow c 2) (* (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2)))) (+ (* 1/2 (/ (* c (- (/ c (+ b_2 (pow b_2 2))) (/ (* (pow b_2 2) c) (pow (+ b_2 (pow b_2 2)) 2)))) (* (pow b_2 2) (+ b_2 (pow b_2 2))))) (* a (+ (* -1/2 (/ (* c (+ (* -1/4 (/ (pow c 2) (* (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2)))) (* 1/2 (/ (* c (- (/ c (+ b_2 (pow b_2 2))) (/ (* (pow b_2 2) c) (pow (+ b_2 (pow b_2 2)) 2)))) (* (pow b_2 2) (+ b_2 (pow b_2 2))))))) (* (pow b_2 2) (+ b_2 (pow b_2 2))))) (+ (* -1/8 (/ (* (pow c 2) (- (/ c (+ b_2 (pow b_2 2))) (/ (* (pow b_2 2) c) (pow (+ b_2 (pow b_2 2)) 2)))) (* (pow b_2 6) (+ b_2 (pow b_2 2))))) (* 1/8 (/ (pow c 3) (* (pow b_2 6) (pow (+ b_2 (pow b_2 2)) 2))))))))))))) a)
(* -1 (sqrt (/ c a)))
(/ (+ (* -1 (sqrt (* a c))) (* -1 (/ (- (* 2 (* (sqrt (/ a c)) (pow b_2 5))) (* a b_2)) a))) a)
(/ (+ (* -1 (sqrt (* a c))) (+ (* -1 (/ (- (* 2 (* (sqrt (/ a c)) (pow b_2 5))) (* a b_2)) a)) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 5))) (* (sqrt (/ 1 (* (pow a 3) c))) (* b_2 (- (* 2 (* (sqrt (/ a c)) (pow b_2 5))) (* a b_2))))))) a)
(/ (+ (* -1 (sqrt (* a c))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (* b_2 (+ (* 1/2 (* (sqrt (/ (pow a 3) c)) (pow b_2 5))) (* (sqrt (/ a c)) (* b_2 (- (* 2 (* (sqrt (/ a c)) (pow b_2 5))) (* a b_2)))))))) (+ (* -1 (/ (- (* 2 (* (sqrt (/ a c)) (pow b_2 5))) (* a b_2)) a)) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 5))) (+ (* 1/2 (/ (* (pow b_2 5) (- (* 2 (* (sqrt (/ a c)) (pow b_2 5))) (* a b_2))) (* (pow a 2) c))) (* (sqrt (/ 1 (* (pow a 3) c))) (* b_2 (- (* 2 (* (sqrt (/ a c)) (pow b_2 5))) (* a b_2))))))))) a)
(sqrt (/ c a))
(* -1 (/ (+ (* -1 (sqrt (* a c))) (* -1 (/ (- (* 2 (* (sqrt (/ a c)) (pow b_2 6))) (/ (* a b_2) (pow (sqrt -1) 2))) a))) a))
(* -1 (/ (+ (* -1 (sqrt (* a c))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a c)) (/ (pow b_2 6) (pow (sqrt -1) 2)))) (+ (* 2 (* (sqrt (/ a c)) (pow b_2 6))) (* (sqrt (/ 1 (* a c))) (* b_2 (- (* 2 (* (sqrt (/ a c)) (pow b_2 6))) (/ (* a b_2) (pow (sqrt -1) 2))))))) (/ (* a b_2) (pow (sqrt -1) 2))) a))) a))
(* -1 (/ (+ (* -1 (sqrt (* a c))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 6) (pow (sqrt -1) 2)))) (* (sqrt (/ a c)) (* b_2 (- (* 2 (* (sqrt (/ a c)) (pow b_2 6))) (/ (* a b_2) (pow (sqrt -1) 2))))))))) (* -1/2 (/ (* (pow b_2 6) (- (* 2 (* (sqrt (/ a c)) (pow b_2 6))) (/ (* a b_2) (pow (sqrt -1) 2)))) (* c (pow (sqrt -1) 2))))) (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 6) (pow (sqrt -1) 2)))) (* (sqrt (/ a c)) (* b_2 (- (* 2 (* (sqrt (/ a c)) (pow b_2 6))) (/ (* a b_2) (pow (sqrt -1) 2))))))) a)) (* 2 (* (sqrt (/ a c)) (pow b_2 6)))) (/ (* a b_2) (pow (sqrt -1) 2))) a))) a))
(* -2 (/ (pow b_2 4) (* a (+ b_2 (pow b_2 2)))))
(+ (* -2 (/ (pow b_2 4) (* a (+ b_2 (pow b_2 2))))) (* -1 (* c (- (/ 1 (+ b_2 (pow b_2 2))) (/ (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2))))))
(+ (* -2 (/ (pow b_2 4) (* a (+ b_2 (pow b_2 2))))) (* c (+ (* -1 (- (/ 1 (+ b_2 (pow b_2 2))) (/ (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2)))) (* c (+ (* -1/4 (/ a (* (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2)))) (* 1/2 (/ (* a (- (/ 1 (+ b_2 (pow b_2 2))) (/ (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2)))) (* (pow b_2 2) (+ b_2 (pow b_2 2))))))))))
(+ (* -2 (/ (pow b_2 4) (* a (+ b_2 (pow b_2 2))))) (* c (+ (* -1 (- (/ 1 (+ b_2 (pow b_2 2))) (/ (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2)))) (* c (+ (* -1/4 (/ a (* (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2)))) (+ (* 1/2 (/ (* a (- (/ 1 (+ b_2 (pow b_2 2))) (/ (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2)))) (* (pow b_2 2) (+ b_2 (pow b_2 2))))) (* c (+ (* -1/2 (/ (* a (+ (* -1/4 (/ a (* (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2)))) (* 1/2 (/ (* a (- (/ 1 (+ b_2 (pow b_2 2))) (/ (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2)))) (* (pow b_2 2) (+ b_2 (pow b_2 2))))))) (* (pow b_2 2) (+ b_2 (pow b_2 2))))) (+ (* -1/8 (/ (* (pow a 2) (- (/ 1 (+ b_2 (pow b_2 2))) (/ (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2)))) (* (pow b_2 6) (+ b_2 (pow b_2 2))))) (* 1/8 (/ (pow a 2) (* (pow b_2 6) (pow (+ b_2 (pow b_2 2)) 2)))))))))))))
(* -1 (sqrt c))
(+ (* -1 (sqrt c)) (* -1 (/ (- (* 2 (* (/ (pow b_2 4) a) (sqrt c))) (* b_2 c)) c)))
(+ (* -1 (sqrt c)) (+ (* -1 (/ (- (* 2 (* (/ (pow b_2 4) a) (sqrt c))) (* b_2 c)) c)) (+ (* 1/2 (* (pow b_2 4) (sqrt (/ 1 c)))) (* (* b_2 (- (* 2 (* (/ (pow b_2 4) a) (sqrt c))) (* b_2 c))) (sqrt (/ 1 (pow c 3)))))))
(+ (* -1 (sqrt c)) (+ (* -1 (* (* b_2 (+ (* 1/2 (* (pow b_2 4) (sqrt (pow c 3)))) (* (* b_2 (- (* 2 (* (/ (pow b_2 4) a) (sqrt c))) (* b_2 c))) (sqrt c)))) (sqrt (/ 1 (pow c 5))))) (+ (* -1 (/ (- (* 2 (* (/ (pow b_2 4) a) (sqrt c))) (* b_2 c)) c)) (+ (* 1/2 (* (pow b_2 4) (sqrt (/ 1 c)))) (+ (* 1/2 (/ (* (pow b_2 4) (- (* 2 (* (/ (pow b_2 4) a) (sqrt c))) (* b_2 c))) (pow c 2))) (* (* b_2 (- (* 2 (* (/ (pow b_2 4) a) (sqrt c))) (* b_2 c))) (sqrt (/ 1 (pow c 3)))))))))
(sqrt c)
(- (+ (sqrt c) (* 2 (* (/ (pow b_2 4) a) (sqrt (/ 1 c))))) (/ b_2 (pow (sqrt -1) 2)))
(+ (sqrt c) (* -1 (/ (+ (* -1 (- (* 2 (* (/ (pow b_2 4) a) (sqrt c))) (/ (* b_2 c) (pow (sqrt -1) 2)))) (* -1 (/ (+ (* -1/2 (* (/ (pow b_2 4) (pow (sqrt -1) 2)) (sqrt (pow c 3)))) (* (* b_2 (- (* 2 (* (/ (pow b_2 4) a) (sqrt c))) (/ (* b_2 c) (pow (sqrt -1) 2)))) (sqrt c))) c))) c)))
(+ (sqrt c) (* -1 (/ (+ (* -1 (- (* 2 (* (/ (pow b_2 4) a) (sqrt c))) (/ (* b_2 c) (pow (sqrt -1) 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (* b_2 (+ (* -1/2 (* (/ (pow b_2 4) (pow (sqrt -1) 2)) (sqrt (pow c 3)))) (* (* b_2 (- (* 2 (* (/ (pow b_2 4) a) (sqrt c))) (/ (* b_2 c) (pow (sqrt -1) 2)))) (sqrt c)))) (sqrt c))) (* -1/2 (/ (* (pow b_2 4) (* c (- (* 2 (* (/ (pow b_2 4) a) (sqrt c))) (/ (* b_2 c) (pow (sqrt -1) 2))))) (pow (sqrt -1) 2)))) c)) (+ (* -1/2 (* (/ (pow b_2 4) (pow (sqrt -1) 2)) (sqrt (pow c 3)))) (* (* b_2 (- (* 2 (* (/ (pow b_2 4) a) (sqrt c))) (/ (* b_2 c) (pow (sqrt -1) 2)))) (sqrt c)))) c))) c)))
(* -1 c)
(- (* -2 (/ (pow b_2 3) a)) c)
(- (* -2 (/ (pow b_2 3) a)) c)
(- (* -2 (/ (pow b_2 3) a)) c)
(* -2 (/ (pow b_2 3) a))
(* (pow b_2 3) (- (* -1 (/ c (pow b_2 3))) (* 2 (/ 1 a))))
(* (pow b_2 3) (- (* -1 (/ c (pow b_2 3))) (* 2 (/ 1 a))))
(* (pow b_2 3) (- (* -1 (/ c (pow b_2 3))) (* 2 (/ 1 a))))
(* 2 (/ (pow b_2 3) a))
(* -1 (* (pow b_2 3) (- (/ c (pow b_2 3)) (* 2 (/ 1 a)))))
(* -1 (* (pow b_2 3) (- (/ c (pow b_2 3)) (* 2 (/ 1 a)))))
(* -1 (* (pow b_2 3) (- (/ c (pow b_2 3)) (* 2 (/ 1 a)))))
(* -2 (/ (pow b_2 3) a))
(/ (- (* -1 (* a c)) (* 2 (pow b_2 3))) a)
(/ (- (* -1 (* a c)) (* 2 (pow b_2 3))) a)
(/ (- (* -1 (* a c)) (* 2 (pow b_2 3))) a)
(* -1 c)
(- (* -2 (/ (pow b_2 4) a)) c)
(- (* -2 (/ (pow b_2 4) a)) c)
(- (* -2 (/ (pow b_2 4) a)) c)
(* -1 c)
(- (* -2 (/ (pow b_2 6) a)) c)
(- (* -2 (/ (pow b_2 6) a)) c)
(- (* -2 (/ (pow b_2 6) a)) c)
(* -2 (/ (pow b_2 3) a))
(- (* -1 c) (* 2 (/ (pow b_2 3) a)))
(- (* -1 c) (* 2 (/ (pow b_2 3) a)))
(- (* -1 c) (* 2 (/ (pow b_2 3) a)))
(* -1 c)
(* c (- (* -2 (/ (pow b_2 3) (* a c))) 1))
(* c (- (* -2 (/ (pow b_2 3) (* a c))) 1))
(* c (- (* -2 (/ (pow b_2 3) (* a c))) 1))
(* -1 c)
(* -1 (* c (+ 1 (* 2 (/ (pow b_2 3) (* a c))))))
(* -1 (* c (+ 1 (* 2 (/ (pow b_2 3) (* a c))))))
(* -1 (* c (+ 1 (* 2 (/ (pow b_2 3) (* a c))))))
(* -1 (sqrt (* a c)))
(- b_2 (sqrt (* a c)))
(- (* b_2 (+ 1 (* -1 (* (sqrt (/ 1 (* a c))) b_2)))) (sqrt (* a c)))
(- (* b_2 (+ 1 (* b_2 (+ (* -1 (sqrt (/ 1 (* a c)))) (/ b_2 (* a c)))))) (sqrt (* a c)))
(* -1 (* (* a c) (sqrt (/ 1 (pow b_2 5)))))
(/ (- (/ (* a c) b_2) (* (* a c) (sqrt b_2))) (pow b_2 3))
(/ (- (+ (* -1 (* (* a c) (sqrt (/ 1 (pow b_2 5))))) (/ (* a c) b_2)) (* (* a c) (sqrt b_2))) (pow b_2 3))
(/ (- (+ (* -1 (* (* a c) (sqrt (/ 1 (pow b_2 5))))) (+ (* 1/2 (* (* (pow a 2) (pow c 2)) (sqrt (/ 1 (pow b_2 9))))) (+ (/ (* a c) b_2) (/ (* a c) (pow b_2 4))))) (* (* a c) (sqrt b_2))) (pow b_2 3))
(* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 5))))
(* -1 (/ (- (/ (* a c) b_2) (* (* a (* c (sqrt -1))) (sqrt b_2))) (pow b_2 3)))
(* -1 (/ (- (+ (* -1 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 5))))) (/ (* a c) b_2)) (* (* a (* c (sqrt -1))) (sqrt b_2))) (pow b_2 3)))
(* -1 (/ (- (+ (* -1 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 5))))) (+ (* -1 (/ (* a c) (pow b_2 4))) (+ (* 1/2 (* (* (pow a 2) (* (pow c 2) (sqrt -1))) (sqrt (/ 1 (pow b_2 9))))) (/ (* a c) b_2)))) (* (* a (* c (sqrt -1))) (sqrt b_2))) (pow b_2 3)))
(* -1 (/ (* a c) (+ b_2 (pow b_2 2))))
(* a (- (* 1/2 (/ (* a (pow c 2)) (* (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2)))) (/ c (+ b_2 (pow b_2 2)))))
(* a (- (* a (+ (* 1/2 (/ (pow c 2) (* (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2)))) (* a (+ (* -1/4 (/ (pow c 3) (* (pow b_2 4) (pow (+ b_2 (pow b_2 2)) 3)))) (* -1/8 (/ (pow c 3) (* (pow b_2 6) (pow (+ b_2 (pow b_2 2)) 2)))))))) (/ c (+ b_2 (pow b_2 2)))))
(* a (- (* a (+ (* 1/2 (/ (pow c 2) (* (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2)))) (* a (+ (* -1/4 (/ (pow c 3) (* (pow b_2 4) (pow (+ b_2 (pow b_2 2)) 3)))) (+ (* -1/8 (/ (pow c 3) (* (pow b_2 6) (pow (+ b_2 (pow b_2 2)) 2)))) (* a (+ (* -1/2 (/ (* c (+ (* -1/4 (/ (pow c 3) (* (pow b_2 4) (pow (+ b_2 (pow b_2 2)) 3)))) (* -1/8 (/ (pow c 3) (* (pow b_2 6) (pow (+ b_2 (pow b_2 2)) 2)))))) (* (pow b_2 2) (+ b_2 (pow b_2 2))))) (+ (* 1/16 (/ (pow c 4) (* (pow b_2 8) (pow (+ b_2 (pow b_2 2)) 3)))) (* 1/16 (/ (pow c 4) (* (pow b_2 10) (pow (+ b_2 (pow b_2 2)) 2)))))))))))) (/ c (+ b_2 (pow b_2 2)))))
(* -1 (sqrt (* a c)))
(- b_2 (sqrt (* a c)))
(- (+ b_2 (+ (* -1 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 4))))) (sqrt (* a c)))
(- (+ b_2 (+ (* -1 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) c)) (pow b_2 2))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (pow b_2 4))))))) (+ (* -1/2 (/ (pow b_2 5) (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 4))))))) (sqrt (* a c)))
(sqrt (* a c))
(- (* -1 (/ b_2 (pow (sqrt -1) 2))) (* -1 (sqrt (* a c))))
(- (* -1 (/ (- (+ (* -1 (* (sqrt (/ a c)) (/ (pow b_2 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ a c)) (/ (pow b_2 6) (pow (sqrt -1) 2))))) (* -1 (/ (* a b_2) (pow (sqrt -1) 2)))) a)) (* -1 (sqrt (* a c))))
(- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 6) (pow (sqrt -1) 2)))))))) (* -1/2 (/ (* a (pow b_2 7)) (* c (pow (sqrt -1) 4))))) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 6) (pow (sqrt -1) 2)))))) a)) (* -1 (/ (* a b_2) (pow (sqrt -1) 2)))) a)) (* -1 (sqrt (* a c))))
(* -1 (/ (* a c) (+ b_2 (pow b_2 2))))
(* c (- (* 1/2 (/ (* (pow a 2) c) (* (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2)))) (/ a (+ b_2 (pow b_2 2)))))
(* c (- (* c (+ (* 1/2 (/ (pow a 2) (* (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2)))) (* c (+ (* -1/4 (/ (pow a 3) (* (pow b_2 4) (pow (+ b_2 (pow b_2 2)) 3)))) (* -1/8 (/ (pow a 3) (* (pow b_2 6) (pow (+ b_2 (pow b_2 2)) 2)))))))) (/ a (+ b_2 (pow b_2 2)))))
(* c (- (* c (+ (* 1/2 (/ (pow a 2) (* (pow b_2 2) (pow (+ b_2 (pow b_2 2)) 2)))) (* c (+ (* -1/4 (/ (pow a 3) (* (pow b_2 4) (pow (+ b_2 (pow b_2 2)) 3)))) (+ (* -1/8 (/ (pow a 3) (* (pow b_2 6) (pow (+ b_2 (pow b_2 2)) 2)))) (* c (+ (* -1/2 (/ (* a (+ (* -1/4 (/ (pow a 3) (* (pow b_2 4) (pow (+ b_2 (pow b_2 2)) 3)))) (* -1/8 (/ (pow a 3) (* (pow b_2 6) (pow (+ b_2 (pow b_2 2)) 2)))))) (* (pow b_2 2) (+ b_2 (pow b_2 2))))) (+ (* 1/16 (/ (pow a 4) (* (pow b_2 8) (pow (+ b_2 (pow b_2 2)) 3)))) (* 1/16 (/ (pow a 4) (* (pow b_2 10) (pow (+ b_2 (pow b_2 2)) 2)))))))))))) (/ a (+ b_2 (pow b_2 2)))))
(* -1 (sqrt c))
(- b_2 (sqrt c))
(- (+ b_2 (+ (* -1 (* (pow b_2 2) (sqrt (/ 1 c)))) (* 1/2 (* (pow b_2 4) (sqrt (/ 1 c)))))) (sqrt c))
(- (+ b_2 (+ (* -1 (* (* b_2 (+ (* -1 (* (pow b_2 2) (sqrt (pow c 3)))) (* 1/2 (* (pow b_2 4) (sqrt (pow c 3)))))) (sqrt (/ 1 (pow c 5))))) (+ (* -1 (* (pow b_2 2) (sqrt (/ 1 c)))) (+ (* -1/2 (/ (pow b_2 5) c)) (* 1/2 (* (pow b_2 4) (sqrt (/ 1 c)))))))) (sqrt c))
(sqrt c)
(- (* -1 (/ b_2 (pow (sqrt -1) 2))) (* -1 (sqrt c)))
(- (* -1 (/ (- (+ (* -1 (* (/ (pow b_2 2) (pow (sqrt -1) 2)) (sqrt c))) (* 1/2 (* (/ (pow b_2 6) (pow (sqrt -1) 2)) (sqrt c)))) (* -1 (/ (* b_2 c) (pow (sqrt -1) 2)))) c)) (* -1 (sqrt c)))
(- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (* b_2 (+ (* -1 (* (/ (pow b_2 2) (pow (sqrt -1) 2)) (sqrt (pow c 3)))) (* 1/2 (* (/ (pow b_2 6) (pow (sqrt -1) 2)) (sqrt (pow c 3)))))) (sqrt (/ 1 c)))) (* -1/2 (/ (* (pow b_2 7) c) (pow (sqrt -1) 4)))) (+ (* -1 (* (/ (pow b_2 2) (pow (sqrt -1) 2)) (sqrt (pow c 3)))) (* 1/2 (* (/ (pow b_2 6) (pow (sqrt -1) 2)) (sqrt (pow c 3)))))) c)) (* -1 (/ (* b_2 c) (pow (sqrt -1) 2)))) c)) (* -1 (sqrt c)))
(* -1 (sqrt (/ c a)))
(+ (* -1 (sqrt (/ c a))) (/ b_2 a))
(+ (* -1 (sqrt (/ c a))) (* b_2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) b_2)) (/ 1 a))))
(+ (* -1 (sqrt (/ c a))) (* b_2 (+ (* b_2 (+ (* -1 (sqrt (/ 1 (* (pow a 3) c)))) (/ b_2 (* (pow a 2) c)))) (/ 1 a))))
(* -1 (/ c (pow b_2 3)))
(/ (+ (* -1 c) (/ c (pow b_2 2))) (pow b_2 3))
(/ (+ (* -1 c) (+ (* -1 (/ c (pow b_2 4))) (/ c (pow b_2 2)))) (pow b_2 3))
(/ (+ (* -1 c) (+ (* -1 (/ c (pow b_2 4))) (+ (* 1/2 (/ (* a (pow c 2)) (pow b_2 6))) (+ (/ c (pow b_2 2)) (/ c (pow b_2 6)))))) (pow b_2 3))
(/ c (pow b_2 3))
(* -1 (/ (+ (* -1 c) (* -1 (/ c (pow b_2 2)))) (pow b_2 3)))
(* -1 (/ (+ (* -1 c) (+ (* -1 (/ c (pow b_2 2))) (* -1 (/ c (pow b_2 4))))) (pow b_2 3)))
(* -1 (/ (+ (* -1 c) (+ (* -1 (/ c (pow b_2 2))) (+ (* -1 (/ c (pow b_2 4))) (+ (* -1 (/ c (pow b_2 6))) (* 1/2 (/ (* a (pow c 2)) (pow b_2 6))))))) (pow b_2 3)))
(* -1 (/ c (+ b_2 (sqrt (pow b_2 5)))))
(+ (* -1 (/ c (+ b_2 (sqrt (pow b_2 5))))) (* 1/2 (* (/ (* a (pow c 2)) (pow (+ b_2 (sqrt (pow b_2 5))) 2)) (sqrt (/ 1 (pow b_2 5))))))
(+ (* -1 (/ c (+ b_2 (sqrt (pow b_2 5))))) (* a (+ (* 1/2 (* (sqrt (/ 1 (pow b_2 5))) (/ (pow c 2) (pow (+ b_2 (sqrt (pow b_2 5))) 2)))) (* a (+ (* -1/4 (/ (pow c 3) (* (pow b_2 5) (pow (+ b_2 (sqrt (pow b_2 5))) 3)))) (* -1/8 (* (sqrt (/ 1 (pow b_2 15))) (/ (pow c 3) (pow (+ b_2 (sqrt (pow b_2 5))) 2)))))))))
(+ (* -1 (/ c (+ b_2 (sqrt (pow b_2 5))))) (* a (+ (* 1/2 (* (sqrt (/ 1 (pow b_2 5))) (/ (pow c 2) (pow (+ b_2 (sqrt (pow b_2 5))) 2)))) (* a (+ (* -1/4 (/ (pow c 3) (* (pow b_2 5) (pow (+ b_2 (sqrt (pow b_2 5))) 3)))) (+ (* -1/8 (* (sqrt (/ 1 (pow b_2 15))) (/ (pow c 3) (pow (+ b_2 (sqrt (pow b_2 5))) 2)))) (* a (+ (* -1/2 (* (sqrt (/ 1 (pow b_2 5))) (/ (* c (+ (* -1/4 (/ (pow c 3) (* (pow b_2 5) (pow (+ b_2 (sqrt (pow b_2 5))) 3)))) (* -1/8 (* (sqrt (/ 1 (pow b_2 15))) (/ (pow c 3) (pow (+ b_2 (sqrt (pow b_2 5))) 2)))))) (+ b_2 (sqrt (pow b_2 5)))))) (+ (* 1/16 (* (sqrt (/ 1 (pow b_2 25))) (/ (pow c 4) (pow (+ b_2 (sqrt (pow b_2 5))) 2)))) (* 1/16 (/ (pow c 4) (* (pow b_2 10) (pow (+ b_2 (sqrt (pow b_2 5))) 3)))))))))))))
(* -1 (sqrt (/ c a)))
(/ (+ b_2 (* -1 (sqrt (* a c)))) a)
(/ (+ b_2 (+ (* -1 (sqrt (* a c))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 5)))))) a)
(/ (+ b_2 (+ (* -1 (sqrt (* a c))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) c)) (pow b_2 2))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (pow b_2 5))))))) (+ (* -1/2 (/ (pow b_2 6) (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 5)))))))) a)
(sqrt (/ c a))
(* -1 (/ (+ (* -1 (sqrt (* a c))) (/ b_2 (pow (sqrt -1) 2))) a))
(* -1 (/ (+ (* -1 (sqrt (* a c))) (* -1 (/ (+ (* -1 (/ (* a b_2) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 6) (pow (sqrt -1) 2))))) a))) a))) a))
(* -1 (/ (+ (* -1 (sqrt (* a c))) (* -1 (/ (+ (* -1 (/ (* a b_2) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 2)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 6) (pow (sqrt -1) 2)))))))) (* -1/2 (/ (* (pow a 2) (pow b_2 7)) (* c (pow (sqrt -1) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 6) (pow (sqrt -1) 2)))))) a))) a))) a))
(* -1 (/ c (+ b_2 (sqrt (pow b_2 5)))))
(* c (- (* 1/2 (* (/ (* a c) (pow (+ b_2 (sqrt (pow b_2 5))) 2)) (sqrt (/ 1 (pow b_2 5))))) (/ 1 (+ b_2 (sqrt (pow b_2 5))))))
(* c (- (* c (+ (* 1/2 (* (/ a (pow (+ b_2 (sqrt (pow b_2 5))) 2)) (sqrt (/ 1 (pow b_2 5))))) (* c (+ (* -1/4 (/ (pow a 2) (* (pow b_2 5) (pow (+ b_2 (sqrt (pow b_2 5))) 3)))) (* -1/8 (* (/ (pow a 2) (pow (+ b_2 (sqrt (pow b_2 5))) 2)) (sqrt (/ 1 (pow b_2 15))))))))) (/ 1 (+ b_2 (sqrt (pow b_2 5))))))
(* c (- (* c (+ (* 1/2 (* (/ a (pow (+ b_2 (sqrt (pow b_2 5))) 2)) (sqrt (/ 1 (pow b_2 5))))) (* c (+ (* -1/4 (/ (pow a 2) (* (pow b_2 5) (pow (+ b_2 (sqrt (pow b_2 5))) 3)))) (+ (* -1/8 (* (/ (pow a 2) (pow (+ b_2 (sqrt (pow b_2 5))) 2)) (sqrt (/ 1 (pow b_2 15))))) (* c (+ (* -1/2 (* (/ (* a (+ (* -1/4 (/ (pow a 2) (* (pow b_2 5) (pow (+ b_2 (sqrt (pow b_2 5))) 3)))) (* -1/8 (* (/ (pow a 2) (pow (+ b_2 (sqrt (pow b_2 5))) 2)) (sqrt (/ 1 (pow b_2 15))))))) (+ b_2 (sqrt (pow b_2 5)))) (sqrt (/ 1 (pow b_2 5))))) (+ (* 1/16 (* (/ (pow a 3) (pow (+ b_2 (sqrt (pow b_2 5))) 2)) (sqrt (/ 1 (pow b_2 25))))) (* 1/16 (/ (pow a 3) (* (pow b_2 10) (pow (+ b_2 (sqrt (pow b_2 5))) 3)))))))))))) (/ 1 (+ b_2 (sqrt (pow b_2 5))))))
(* -1 (sqrt c))
(+ b_2 (* -1 (sqrt c)))
(- (+ (* -1 (sqrt c)) (* -1 (/ (+ (* -1/2 (* (pow b_2 5) (sqrt (pow c 3)))) (* (pow b_2 2) (sqrt (pow c 3)))) (pow c 2)))) (* -1 b_2))
(- (+ (* -1 (sqrt c)) (* -1 (/ (+ (* -1 (* (* b_2 (+ (* -1/2 (* (pow b_2 5) (sqrt (pow c 3)))) (* (pow b_2 2) (sqrt (pow c 3))))) (sqrt c))) (* 1/2 (* (pow b_2 6) (pow c 2)))) (pow c 3)))) (+ (* -1 b_2) (+ (* -1/2 (* (pow b_2 5) (sqrt (/ 1 c)))) (* (pow b_2 2) (sqrt (/ 1 c))))))
(sqrt c)
(+ (sqrt c) (* -1 (/ b_2 (pow (sqrt -1) 2))))
(+ (sqrt c) (* -1 (/ (- (+ (* -1 (* (/ (pow b_2 2) (pow (sqrt -1) 2)) (sqrt c))) (* 1/2 (* (/ (pow b_2 7) (pow (sqrt -1) 2)) (sqrt c)))) (* -1 (/ (* b_2 c) (pow (sqrt -1) 2)))) c)))
(+ (sqrt c) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (* b_2 (+ (* -1 (* (/ (pow b_2 2) (pow (sqrt -1) 2)) (sqrt (pow c 3)))) (* 1/2 (* (/ (pow b_2 7) (pow (sqrt -1) 2)) (sqrt (pow c 3)))))) (sqrt (/ 1 c)))) (* -1/2 (/ (* (pow b_2 8) c) (pow (sqrt -1) 4)))) (+ (* -1 (* (/ (pow b_2 2) (pow (sqrt -1) 2)) (sqrt (pow c 3)))) (* 1/2 (* (/ (pow b_2 7) (pow (sqrt -1) 2)) (sqrt (pow c 3)))))) c)) (* -1 (/ (* b_2 c) (pow (sqrt -1) 2)))) c)))
(* (sqrt (/ 1 (* a c))) b_2)
(* b_2 (+ (sqrt (/ 1 (* a c))) (* -1 (/ b_2 (* a c)))))
(* b_2 (+ (sqrt (/ 1 (* a c))) (* b_2 (- (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) b_2) (/ 1 (* a c))))))
(* b_2 (+ (sqrt (/ 1 (* a c))) (* b_2 (- (* b_2 (- (* -1 (/ b_2 (* (pow a 2) (pow c 2)))) (* -1 (sqrt (/ 1 (* (pow a 3) (pow c 3))))))) (/ 1 (* a c))))))
(sqrt (/ 1 (pow b_2 3)))
(/ (- (sqrt b_2) (/ 1 b_2)) (pow b_2 2))
(/ (- (+ (sqrt b_2) (sqrt (/ 1 (pow b_2 5)))) (/ 1 b_2)) (pow b_2 2))
(/ (- (+ (sqrt b_2) (* -1 (/ (+ (* 1/2 (* (* a c) (sqrt (pow b_2 3)))) (pow b_2 2)) (pow b_2 6)))) (+ (* -1 (sqrt (/ 1 (pow b_2 5)))) (/ 1 b_2))) (pow b_2 2))
(/ -1 (pow b_2 2))
(* -1 (/ (+ 1 (/ 1 (pow b_2 2))) (pow b_2 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow b_2 2))) (pow b_2 2))) 1) (pow b_2 2))
(/ (- (* -1 (/ (+ 1 (* -1/2 (* a c))) (pow b_2 6))) (+ 1 (+ (/ 1 (pow b_2 2)) (/ 1 (pow b_2 4))))) (pow b_2 2))
(/ b_2 (+ b_2 (pow b_2 2)))
(+ (* -1/2 (/ (* a c) (* b_2 (pow (+ b_2 (pow b_2 2)) 2)))) (/ b_2 (+ b_2 (pow b_2 2))))
(+ (* a (- (* -1 (* a (+ (* -1/4 (/ (pow c 2) (* (pow b_2 3) (pow (+ b_2 (pow b_2 2)) 3)))) (* -1/8 (/ (pow c 2) (* (pow b_2 5) (pow (+ b_2 (pow b_2 2)) 2))))))) (* 1/2 (/ c (* b_2 (pow (+ b_2 (pow b_2 2)) 2)))))) (/ b_2 (+ b_2 (pow b_2 2))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (/ (* c (+ (* -1/4 (/ (pow c 2) (* (pow b_2 3) (pow (+ b_2 (pow b_2 2)) 3)))) (* -1/8 (/ (pow c 2) (* (pow b_2 5) (pow (+ b_2 (pow b_2 2)) 2)))))) (* (pow b_2 2) (+ b_2 (pow b_2 2))))) (+ (* 1/16 (/ (pow c 3) (* (pow b_2 7) (pow (+ b_2 (pow b_2 2)) 3)))) (* 1/16 (/ (pow c 3) (* (pow b_2 9) (pow (+ b_2 (pow b_2 2)) 2)))))))) (+ (* -1/4 (/ (pow c 2) (* (pow b_2 3) (pow (+ b_2 (pow b_2 2)) 3)))) (* -1/8 (/ (pow c 2) (* (pow b_2 5) (pow (+ b_2 (pow b_2 2)) 2))))))) (* 1/2 (/ c (* b_2 (pow (+ b_2 (pow b_2 2)) 2)))))) (/ b_2 (+ b_2 (pow b_2 2))))
(* (sqrt (/ 1 (* a c))) b_2)
(/ (+ (* -1 (/ (pow b_2 2) c)) (* (sqrt (/ a c)) b_2)) a)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (pow b_2 3))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (pow b_2 5)))) (pow a 2))) (* (sqrt (/ a c)) b_2)) (/ (pow b_2 2) c)) a)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (pow b_2 3))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (pow b_2 5))))))) (* -1/2 (/ (* (pow a 2) (pow b_2 6)) (pow c 2)))) (pow a 3))) (* (sqrt (/ a c)) b_2)) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 3))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (pow b_2 5))) (/ (pow b_2 2) c)))) a)
(* -1 (* (sqrt (/ 1 (* a c))) b_2))
(* -1 (/ (+ (* -1 (/ (pow b_2 2) (* c (pow (sqrt -1) 2)))) (* (sqrt (/ a c)) b_2)) a))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 3) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b_2 7) (pow (sqrt -1) 2))))) (* -1 (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2))))) a)) (* (sqrt (/ a c)) b_2)) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 3) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 7) (pow (sqrt -1) 2)))))))) (* -1/2 (/ (* a (pow b_2 8)) (* (pow c 2) (pow (sqrt -1) 4))))) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 3) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 7) (pow (sqrt -1) 2)))))) a)) (* -1 (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2))))) a)) (* (sqrt (/ a c)) b_2)) a))
(/ b_2 (+ b_2 (pow b_2 2)))
(+ (* -1/2 (/ (* a c) (* b_2 (pow (+ b_2 (pow b_2 2)) 2)))) (/ b_2 (+ b_2 (pow b_2 2))))
(+ (* c (- (* -1 (* c (+ (* -1/4 (/ (pow a 2) (* (pow b_2 3) (pow (+ b_2 (pow b_2 2)) 3)))) (* -1/8 (/ (pow a 2) (* (pow b_2 5) (pow (+ b_2 (pow b_2 2)) 2))))))) (* 1/2 (/ a (* b_2 (pow (+ b_2 (pow b_2 2)) 2)))))) (/ b_2 (+ b_2 (pow b_2 2))))
(+ (* c (- (* c (- (* -1 (* c (+ (* -1/2 (/ (* a (+ (* -1/4 (/ (pow a 2) (* (pow b_2 3) (pow (+ b_2 (pow b_2 2)) 3)))) (* -1/8 (/ (pow a 2) (* (pow b_2 5) (pow (+ b_2 (pow b_2 2)) 2)))))) (* (pow b_2 2) (+ b_2 (pow b_2 2))))) (+ (* 1/16 (/ (pow a 3) (* (pow b_2 7) (pow (+ b_2 (pow b_2 2)) 3)))) (* 1/16 (/ (pow a 3) (* (pow b_2 9) (pow (+ b_2 (pow b_2 2)) 2)))))))) (+ (* -1/4 (/ (pow a 2) (* (pow b_2 3) (pow (+ b_2 (pow b_2 2)) 3)))) (* -1/8 (/ (pow a 2) (* (pow b_2 5) (pow (+ b_2 (pow b_2 2)) 2))))))) (* 1/2 (/ a (* b_2 (pow (+ b_2 (pow b_2 2)) 2)))))) (/ b_2 (+ b_2 (pow b_2 2))))
(* b_2 (sqrt (/ 1 c)))
(/ (+ (* -1 (pow b_2 2)) (* b_2 (sqrt c))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow b_2 3) (sqrt (pow c 3)))) (* 1/2 (* (pow b_2 5) (sqrt (pow c 3))))) (pow c 2))) (* b_2 (sqrt c))) (pow b_2 2)) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (* b_2 (+ (* -1 (* (pow b_2 3) (sqrt (pow c 3)))) (* 1/2 (* (pow b_2 5) (sqrt (pow c 3)))))) (sqrt c))) (* -1/2 (* (pow b_2 6) (pow c 2)))) (pow c 3))) (* b_2 (sqrt c))) (+ (* -1 (* (pow b_2 3) (sqrt (/ 1 c)))) (+ (* 1/2 (* (pow b_2 5) (sqrt (/ 1 c)))) (pow b_2 2)))) c)
(* -1 (* b_2 (sqrt (/ 1 c))))
(* -1 (/ (+ (* -1 (/ (pow b_2 2) (pow (sqrt -1) 2))) (* b_2 (sqrt c))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (/ (pow b_2 3) (pow (sqrt -1) 2)) (sqrt c))) (* 1/2 (* (/ (pow b_2 7) (pow (sqrt -1) 2)) (sqrt c)))) (* -1 (/ (* (pow b_2 2) c) (pow (sqrt -1) 2)))) c)) (* b_2 (sqrt c))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (* b_2 (+ (* -1 (* (/ (pow b_2 3) (pow (sqrt -1) 2)) (sqrt (pow c 3)))) (* 1/2 (* (/ (pow b_2 7) (pow (sqrt -1) 2)) (sqrt (pow c 3)))))) (sqrt (/ 1 c)))) (* -1/2 (/ (* (pow b_2 8) c) (pow (sqrt -1) 4)))) (+ (* -1 (* (/ (pow b_2 3) (pow (sqrt -1) 2)) (sqrt (pow c 3)))) (* 1/2 (* (/ (pow b_2 7) (pow (sqrt -1) 2)) (sqrt (pow c 3)))))) c)) (* -1 (/ (* (pow b_2 2) c) (pow (sqrt -1) 2)))) c)) (* b_2 (sqrt c))) c))
(sqrt (* a c))
(+ b_2 (sqrt (* a c)))
(+ (sqrt (* a c)) (* b_2 (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 3))))))
(+ (sqrt (* a c)) (* b_2 (+ 1 (* (pow b_2 3) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 4))) (* 1/2 (sqrt (/ 1 (* a c)))))))))
(sqrt (pow b_2 5))
(* (pow b_2 3) (+ (sqrt (/ 1 b_2)) (/ 1 (pow b_2 2))))
(* (pow b_2 3) (+ (sqrt (/ 1 b_2)) (+ (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 11))))) (/ 1 (pow b_2 2)))))
(* (pow b_2 3) (+ (sqrt (/ 1 b_2)) (+ (* -1/8 (* (* (pow a 2) (pow c 2)) (sqrt (/ 1 (pow b_2 21))))) (+ (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 11))))) (/ 1 (pow b_2 2))))))
(* -1 (* (sqrt (pow b_2 5)) (sqrt -1)))
(* -1 (* (pow b_2 3) (- (* (sqrt (/ 1 b_2)) (sqrt -1)) (/ 1 (pow b_2 2)))))
(* -1 (* (pow b_2 3) (- (+ (* 1/2 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 11))))) (* (sqrt (/ 1 b_2)) (sqrt -1))) (/ 1 (pow b_2 2)))))
(* -1 (* (pow b_2 3) (- (+ (* -1/8 (* (* (pow a 2) (* (pow c 2) (sqrt -1))) (sqrt (/ 1 (pow b_2 21))))) (+ (* 1/2 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 11))))) (* (sqrt (/ 1 b_2)) (sqrt -1)))) (/ 1 (pow b_2 2)))))
(+ b_2 (pow b_2 2))
(+ b_2 (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow b_2 2)))
(+ b_2 (+ (* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 6))) (* 1/2 (/ c (pow b_2 2))))) (pow b_2 2)))
(+ b_2 (+ (* a (+ (* 1/2 (/ c (pow b_2 2))) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 6))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 10))))))) (pow b_2 2)))
(sqrt (* a c))
(* a (+ (sqrt (/ c a)) (/ b_2 a)))
(* a (+ (sqrt (/ c a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 4))) (/ b_2 a))))
(* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 8))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 4))) (/ b_2 a)))))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 6)))) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 12) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ a c)) (pow b_2 6)))) a))) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(+ b_2 (pow b_2 2))
(+ b_2 (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow b_2 2)))
(+ b_2 (+ (* c (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 6))) (* 1/2 (/ a (pow b_2 2))))) (pow b_2 2)))
(+ b_2 (+ (* c (+ (* 1/2 (/ a (pow b_2 2))) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 6))) (* 1/16 (/ (* (pow a 3) c) (pow b_2 10))))))) (pow b_2 2)))
(sqrt c)
(* c (+ (sqrt (/ 1 c)) (/ b_2 c)))
(* c (+ (sqrt (/ 1 c)) (+ (* 1/2 (* (pow b_2 4) (sqrt (/ 1 (pow c 3))))) (/ b_2 c))))
(* c (+ (sqrt (/ 1 c)) (+ (* -1/8 (* (pow b_2 8) (sqrt (/ 1 (pow c 5))))) (+ (* 1/2 (* (pow b_2 4) (sqrt (/ 1 (pow c 3))))) (/ b_2 c)))))
(* -1 (* (sqrt c) (pow (sqrt -1) 2)))
(* -1 (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (+ b_2 (* -1/2 (* (pow b_2 6) (sqrt (/ 1 c))))) c)) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (/ (pow b_2 12) (pow (sqrt -1) 2)) (sqrt (/ 1 c)))) (* 1/2 (* (pow b_2 6) (sqrt c)))) c))) c)) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))
(* a c)
(* a c)
(* a c)
(* a c)
a
a
a
a
a
a
a
a
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(/ -1 (* a b_2))
(/ -1 (* a b_2))
(/ -1 (* a b_2))
(/ -1 (* a b_2))
(/ -1 (* a b_2))
(/ -1 (* a b_2))
(/ -1 (* a b_2))
(/ -1 (* a b_2))
(/ -1 (* a b_2))
(/ -1 (* a b_2))
(/ -1 (* a b_2))
(/ -1 (* a b_2))
(/ -1 (* a b_2))
(/ -1 (* a b_2))
(/ -1 (* a b_2))
(/ -1 (* a b_2))
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
a
a
a
a
a
a
a
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)
(sqrt (* a c))
(+ (sqrt (* a c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 4))))
(+ (sqrt (* a c)) (* (pow b_2 4) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 4))) (* 1/2 (sqrt (/ 1 (* a c)))))))
(+ (sqrt (* a c)) (* (pow b_2 4) (+ (* 1/2 (sqrt (/ 1 (* a c)))) (* (pow b_2 4) (+ (* -1/8 (sqrt (/ 1 (* (pow a 3) (pow c 3))))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 4))))))))
(sqrt (pow b_2 5))
(* (pow b_2 3) (+ (sqrt (/ 1 b_2)) (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 11)))))))
(* (pow b_2 3) (+ (sqrt (/ 1 b_2)) (+ (* -1/8 (* (* (pow a 2) (pow c 2)) (sqrt (/ 1 (pow b_2 21))))) (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 11))))))))
(* (pow b_2 3) (+ (sqrt (/ 1 b_2)) (+ (* -1/8 (* (* (pow a 2) (pow c 2)) (sqrt (/ 1 (pow b_2 21))))) (+ (* 1/16 (* (* (pow a 3) (pow c 3)) (sqrt (/ 1 (pow b_2 31))))) (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 11)))))))))
(* -1 (* (sqrt (pow b_2 5)) (sqrt -1)))
(* -1 (* (pow b_2 3) (+ (* 1/2 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 11))))) (* (sqrt (/ 1 b_2)) (sqrt -1)))))
(* -1 (* (pow b_2 3) (+ (* -1/8 (* (* (pow a 2) (* (pow c 2) (sqrt -1))) (sqrt (/ 1 (pow b_2 21))))) (+ (* 1/2 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 11))))) (* (sqrt (/ 1 b_2)) (sqrt -1))))))
(* -1 (* (pow b_2 3) (+ (* -1/8 (* (* (pow a 2) (* (pow c 2) (sqrt -1))) (sqrt (/ 1 (pow b_2 21))))) (+ (* 1/16 (* (* (pow a 3) (* (pow c 3) (sqrt -1))) (sqrt (/ 1 (pow b_2 31))))) (+ (* 1/2 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 11))))) (* (sqrt (/ 1 b_2)) (sqrt -1)))))))
(pow b_2 2)
(+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow b_2 2))
(+ (* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 6))) (* 1/2 (/ c (pow b_2 2))))) (pow b_2 2))
(+ (* a (+ (* 1/2 (/ c (pow b_2 2))) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 6))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 10))))))) (pow b_2 2))
(sqrt (* a c))
(* a (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 4)))))
(* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 8))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 4))))))
(* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 8))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (pow b_2 12))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 4)))))))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 6))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 12) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 6))) (* (sqrt (/ c a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 12) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 18) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 6))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))))
(pow b_2 2)
(+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow b_2 2))
(+ (* c (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 6))) (* 1/2 (/ a (pow b_2 2))))) (pow b_2 2))
(+ (* c (+ (* 1/2 (/ a (pow b_2 2))) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 6))) (* 1/16 (/ (* (pow a 3) c) (pow b_2 10))))))) (pow b_2 2))
(sqrt c)
(* c (+ (sqrt (/ 1 c)) (* 1/2 (* (pow b_2 4) (sqrt (/ 1 (pow c 3)))))))
(* c (+ (sqrt (/ 1 c)) (+ (* -1/8 (* (pow b_2 8) (sqrt (/ 1 (pow c 5))))) (* 1/2 (* (pow b_2 4) (sqrt (/ 1 (pow c 3))))))))
(* c (+ (sqrt (/ 1 c)) (+ (* -1/8 (* (pow b_2 8) (sqrt (/ 1 (pow c 5))))) (+ (* 1/16 (* (pow b_2 12) (sqrt (/ 1 (pow c 7))))) (* 1/2 (* (pow b_2 4) (sqrt (/ 1 (pow c 3)))))))))
(* -1 (* (sqrt c) (pow (sqrt -1) 2)))
(* -1 (* c (+ (* 1/2 (* (pow b_2 6) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1/8 (* (/ (pow b_2 12) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow c 5))))) (+ (* 1/2 (* (pow b_2 6) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2))))))
(* -1 (* c (+ (* -1/8 (* (/ (pow b_2 12) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow c 5))))) (+ (* 1/16 (* (/ (pow b_2 18) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow c 7))))) (+ (* 1/2 (* (pow b_2 6) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))))

Outputs
(sqrt (* a c))
(sqrt.f64 (*.f64 a c))
(+ (sqrt (* a c)) (* -1 b_2))
(-.f64 (sqrt.f64 (*.f64 a c)) b_2)
(+ (sqrt (* a c)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 6))) 1)))
(fma.f64 b_2 (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))
(+ (sqrt (* a c)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 6))) 1)))
(fma.f64 b_2 (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)))
(sqrt (pow b_2 7))
(sqrt.f64 (pow.f64 b_2 #s(literal 7 binary64)))
(* (pow b_2 4) (- (sqrt (/ 1 b_2)) (/ 1 (pow b_2 3))))
(.f64 (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2)) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b_2)) (/.f64 #s(literal 1 binary64) (.f64 b_2 (.f64 b_2 b_2)))))
(* (pow b_2 4) (- (+ (sqrt (/ 1 b_2)) (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 15)))))) (/ 1 (pow b_2 3))))
(.f64 (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2)) (-.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 a c)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b_2 #s(literal 15 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) b_2))) (/.f64 #s(literal 1 binary64) (.f64 b_2 (.f64 b_2 b_2)))))
(* (pow b_2 4) (- (+ (sqrt (/ 1 b_2)) (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 15)))))) (/ 1 (pow b_2 3))))
(.f64 (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2)) (-.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 a c)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b_2 #s(literal 15 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) b_2))) (/.f64 #s(literal 1 binary64) (.f64 b_2 (.f64 b_2 b_2)))))
(* (sqrt (pow b_2 7)) (sqrt -1))
(*.f64 (sqrt.f64 (pow.f64 b_2 #s(literal 7 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(* (pow b_2 4) (- (* (sqrt (/ 1 b_2)) (sqrt -1)) (/ 1 (pow b_2 3))))
(.f64 (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2)) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b_2)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 b_2 (*.f64 b_2 b_2)))))
(* (pow b_2 4) (+ (* -1 (/ (+ 1 (* -1/2 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 9)))))) (pow b_2 3))) (* (sqrt (/ 1 b_2)) (sqrt -1))))
(.f64 (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2)) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b_2)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 a (.f64 (.f64 c (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b_2 #s(literal 9 binary64)))))) #s(literal 1 binary64)) (.f64 b_2 (.f64 b_2 b_2)))))
(* (pow b_2 4) (+ (* -1 (/ (+ 1 (* -1/2 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 9)))))) (pow b_2 3))) (* (sqrt (/ 1 b_2)) (sqrt -1))))
(.f64 (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2)) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) b_2)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 a (.f64 (.f64 c (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b_2 #s(literal 9 binary64)))))) #s(literal 1 binary64)) (.f64 b_2 (.f64 b_2 b_2)))))
(- (sqrt (pow b_2 7)) b_2)
(-.f64 (sqrt.f64 (pow.f64 b_2 #s(literal 7 binary64))) b_2)
(- (+ (sqrt (pow b_2 7)) (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 7)))))) b_2)
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(*.f64 b_2 b_2)
(+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow b_2 2))
(fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2))) (*.f64 b_2 b_2))
(+ (* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 6))) (* 1/2 (/ c (pow b_2 2))))) (pow b_2 2))
(fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 c (.f64 b_2 b_2)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a (.f64 c c))) (pow.f64 b_2 #s(literal 6 binary64)))) (*.f64 b_2 b_2))
(+ (* a (+ (* 1/2 (/ c (pow b_2 2))) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 6))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 10))))))) (pow b_2 2))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 c c) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 a (.f64 c (.f64 c c)))) (pow.f64 b_2 #s(literal 10 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) c) (.f64 b_2 b_2))) (.f64 b_2 b_2))
(sqrt (* a c))
(sqrt.f64 (*.f64 a c))
(* a (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 4)))))
(.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (sqrt.f64 (/.f64 c a))))
(* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 8))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 4))))))
(.f64 a (+.f64 (sqrt.f64 (/.f64 c a)) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (pow.f64 b_2 #s(literal 8 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (*.f64 a a))))))))))
(* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 8))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (pow b_2 12))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 4)))))))
(.f64 a (+.f64 (sqrt.f64 (/.f64 c a)) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (pow.f64 b_2 #s(literal 8 binary64))) (fma.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (pow.f64 b_2 #s(literal 12 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (*.f64 a a)))))))))))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 a c))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 6))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 b_2 #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (*.f64 a a)))))) (neg.f64 (sqrt.f64 (/.f64 c a)))) (neg.f64 a))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 12) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 6))) (* (sqrt (/ c a)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (/.f64 (pow.f64 b_2 #s(literal 12 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 b_2 #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (*.f64 a a)))))) (neg.f64 (sqrt.f64 (/.f64 c a))))) (neg.f64 a))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 12) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 18) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 6))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))))
(.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 12 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 18 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 b_2 #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (*.f64 a a)))))) (neg.f64 (sqrt.f64 (/.f64 c a)))))) (neg.f64 a))
(pow b_2 2)
(*.f64 b_2 b_2)
(+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow b_2 2))
(fma.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2))) (*.f64 b_2 b_2))
(+ (* c (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 6))) (* 1/2 (/ a (pow b_2 2))))) (pow b_2 2))
(fma.f64 c (fma.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 b_2 b_2)) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c (.f64 a a))) (pow.f64 b_2 #s(literal 6 binary64)))) (*.f64 b_2 b_2))
(+ (* c (+ (* 1/2 (/ a (pow b_2 2))) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 6))) (* 1/16 (/ (* (pow a 3) c) (pow b_2 10))))))) (pow b_2 2))
(fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a a) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 c (.f64 a (.f64 a a)))) (pow.f64 b_2 #s(literal 10 binary64)))) (/.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 b_2 b_2))) (.f64 b_2 b_2))
(sqrt c)
(sqrt.f64 c)
(* c (+ (sqrt (/ 1 c)) (* 1/2 (* (pow b_2 4) (sqrt (/ 1 (pow c 3)))))))
(.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (*.f64 c c)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) c))))
(* c (+ (sqrt (/ 1 c)) (+ (* -1/8 (* (pow b_2 8) (sqrt (/ 1 (pow c 5))))) (* 1/2 (* (pow b_2 4) (sqrt (/ 1 (pow c 3))))))))
(.f64 c (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) c)) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c c)))) (.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 b_2 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))))))))
(* c (+ (sqrt (/ 1 c)) (+ (* -1/8 (* (pow b_2 8) (sqrt (/ 1 (pow c 5))))) (+ (* 1/16 (* (pow b_2 12) (sqrt (/ 1 (pow c 7))))) (* 1/2 (* (pow b_2 4) (sqrt (/ 1 (pow c 3)))))))))
(.f64 c (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) c)) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64)))) (pow.f64 b_2 #s(literal 8 binary64))) (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 b_2 #s(literal 12 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 b_2 b_2) (.f64 b_2 b_2))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c c)))))))))
(* -1 (* (sqrt c) (pow (sqrt -1) 2)))
(sqrt.f64 c)
(* -1 (* c (+ (* 1/2 (* (pow b_2 6) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))
(neg.f64 (.f64 c (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) c)) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 b_2 #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (*.f64 c c)))))))))
(* -1 (* c (+ (* -1/8 (* (/ (pow b_2 12) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow c 5))))) (+ (* 1/2 (* (pow b_2 6) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2))))))
(.f64 (neg.f64 c) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 12 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) c)) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 b_2 #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c c)))))))))
(* -1 (* c (+ (* -1/8 (* (/ (pow b_2 12) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow c 5))))) (+ (* 1/16 (* (/ (pow b_2 18) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow c 7))))) (+ (* 1/2 (* (pow b_2 6) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))))
(.f64 (neg.f64 c) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 12 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 18 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) c)) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 b_2 #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (*.f64 c c))))))))))

eval296.0ms (2.7%)

Memory: 51.3MiB live, 737.7MiB allocated
Compiler: Compiled 71 204 to 5 582 computations (92.2% saved)

prune501.0ms (4.5%)

Memory

-22.8MiB live, 709.6MiB allocated

Pruning

46 alts after pruning (43 fresh and 3 done)

	Pruned	Kept	Total
New	1 982	36	2 018
Fresh	23	7	30
Picked	3	2	5
Done	0	1	1
Total	2 008	46	2 054

Accuracy

76.5%

Counts

2 054 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.7%	(/.f64 (/.f64 (*.f64 c (neg.f64 a)) (fma.f64 b_2 b_2 b_2)) a)
	1.8%	(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))) a)
▶	28.1%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) b_2) a)
	9.7%	(/.f64 (-.f64 (sqrt.f64 (*.f64 a c)) b_2) a)
	2.2%	(/.f64 (-.f64 (sqrt.f64 c) (/.f64 b_2 #s(literal -1 binary64))) a)
	3.9%	(/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) a)
	0.6%	(/.f64 (-.f64 b_2 (sqrt.f64 (*.f64 a c))) a)
	1.0%	(/.f64 (-.f64 b_2 (sqrt.f64 c)) a)
✓	34.6%	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64))) a)
	24.1%	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (fma.f64 b_2 b_2 (.f64 a c)))))) a)
	13.4%	(/.f64 (+.f64 (neg.f64 b_2) (*.f64 b_2 b_2)) a)
✓	50.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	7.9%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 c)) a)
	24.7%	(/.f64 (+.f64 (neg.f64 b_2) (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 b_2 b_2 (.f64 a c)))))) a)
	12.3%	(/.f64 (+.f64 (exp.f64 (.f64 (log.f64 b_2) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) a)
	29.0%	(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	2.1%	(/.f64 (.f64 b_2 (.f64 b_2 b_2)) a)
✓	12.6%	(/.f64 (*.f64 b_2 b_2) a)
	4.8%	(/.f64 (sqrt.f64 c) a)
	17.5%	(/.f64 (neg.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (.f64 a c))) a)) (+.f64 b_2 (pow.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 a c))) #s(literal 1/4 binary64))))
	6.6%	(/.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) a)
	1.9%	(/.f64 (neg.f64 (sqrt.f64 c)) a)
▶	31.5%	(/.f64 (neg.f64 c) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))
	16.0%	(/.f64 (neg.f64 b_2) a)
	14.7%	(/.f64 c (.f64 b_2 (.f64 b_2 b_2)))
	12.6%	(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 b_2)))
	12.3%	(-.f64 (/.f64 (*.f64 b_2 b_2) a) b_2)
	0.9%	(-.f64 (/.f64 b_2 a) (sqrt.f64 (/.f64 c a)))
	12.2%	(+.f64 b_2 (/.f64 (*.f64 b_2 b_2) a))
	2.1%	(.f64 (/.f64 (.f64 b_2 b_2) a) #s(literal -2 binary64))
	12.6%	(*.f64 (/.f64 b_2 a) b_2)
▶	12.6%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b_2 b_2))
	12.6%	(.f64 (.f64 b_2 b_2) (/.f64 #s(literal 2 binary64) a))
▶	14.0%	(.f64 (.f64 b_2 b_2) (/.f64 #s(literal -1 binary64) (*.f64 a b_2)))
	4.7%	(.f64 (.f64 b_2 b_2) #s(literal 0 binary64))
	13.4%	(*.f64 b_2 (-.f64 (/.f64 b_2 a) (/.f64 #s(literal 1 binary64) a)))
	3.2%	(sqrt.f64 (/.f64 c a))
	1.3%	(sqrt.f64 c)
	12.2%	(neg.f64 (/.f64 (.f64 b_2 (.f64 b_2 b_2)) a))
	15.0%	(neg.f64 (/.f64 c (.f64 b_2 (.f64 b_2 b_2))))
	2.6%	(neg.f64 (sqrt.f64 c))
▶	3.2%	(neg.f64 b_2)
	0.8%	(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 b_2) (neg.f64 (log.f64 a))))
	12.9%	(exp.f64 (.f64 (log.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) b_2))) #s(literal -1 binary64)))
	6.7%	(exp.f64 (.f64 (log.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))))) #s(literal -1 binary64)))
	5.9%	(exp.f64 (.f64 (log.f64 (/.f64 a (.f64 b_2 b_2))) #s(literal -1 binary64)))

Compiler

Compiled 1 067 to 688 computations (35.5% saved)

simplify135.0ms (1.2%)

Memory

-1.8MiB live, 153.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 b_2 b_2 (*.f64 a c))
✓	cost-diff	0	(sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))
✓	cost-diff	0	(-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) b_2)
✓	cost-diff	0	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) b_2) a)
✓	cost-diff	0	(*.f64 a b_2)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (*.f64 a b_2))
✓	cost-diff	0	(*.f64 b_2 b_2)
✓	cost-diff	832	(.f64 (.f64 b_2 b_2) (/.f64 #s(literal -1 binary64) (*.f64 a b_2)))
✓	cost-diff	0	(*.f64 b_2 b_2)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) a)
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b_2 b_2))
✓	cost-diff	0	(neg.f64 b_2)
✓	cost-diff	0	(sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))
✓	cost-diff	0	(+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))
✓	cost-diff	0	(neg.f64 c)
✓	cost-diff	0	(/.f64 (neg.f64 c) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))

Rules

2 902×	`lower-*.f32`
2 892×	`lower-*.f64`
1 876×	`lower-/.f32`
1 868×	`lower-/.f64`
1 688×	`lower-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	123
0	35	123
1	63	120
2	112	120
3	229	116
4	509	116
5	1700	116
6	3687	116
7	4688	116
8	6452	116
0	8048	116

Stop Event

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

Calls

Call 1

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

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

localize110.0ms (1%)

Memory

36.7MiB live, 156.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	32.7%	(fma.f64 b_2 b_2 (*.f64 a c))
✓	accuracy	31.3%	(-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) b_2)
✓	accuracy	30.1%	(*.f64 a c)
✓	accuracy	29.9%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) b_2) a)
✓	accuracy	75.9%	(.f64 (.f64 b_2 b_2) (/.f64 #s(literal -1 binary64) (*.f64 a b_2)))
✓	accuracy	35.4%	(*.f64 a b_2)
✓	accuracy	29.7%	(*.f64 b_2 b_2)
✓	accuracy	29.6%	(/.f64 #s(literal -1 binary64) (*.f64 a b_2))
✓	accuracy	31.4%	(/.f64 #s(literal 1 binary64) a)
✓	accuracy	29.7%	(*.f64 b_2 b_2)
✓	accuracy	29.6%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b_2 b_2))
✓	accuracy	100.0%	(neg.f64 b_2)
✓	accuracy	32.7%	(fma.f64 b_2 b_2 (*.f64 a c))
✓	accuracy	30.5%	(neg.f64 c)
✓	accuracy	30.1%	(*.f64 a c)
✓	accuracy	29.6%	(/.f64 (neg.f64 c) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))

Samples

33.0ms	87×	2	valid
19.0ms	19×	3	valid
19.0ms	75×	1	valid
10.0ms	71×	0	invalid
1.0ms	4×	0	valid

Compiler

Compiled 259 to 42 computations (83.8% saved)

Precisions

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

adjust: 16.0ms (28.6% of total)

ival-div: 10.0ms (17.9% of total)

ival-add: 10.0ms (17.9% of total)

ival-mult: 10.0ms (17.9% of total)

ival-sqrt: 5.0ms (8.9% of total)

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

ival-neg: 2.0ms (3.6% of total)

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

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

exact: 0.0ms (0% of total)

series54.0ms (0.5%)

Memory

-24.1MiB live, 66.2MiB allocated

Counts

15 → 384

Calls

Call 1

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

Outputs
#<alt (* -1 (/ c (+ b_2 (sqrt (pow b_2 5)))))>
#<alt (* c (- (* 1/2 (* (/ (* a c) (pow (+ b_2 (sqrt (pow b_2 5))) 2)) (sqrt (/ 1 (pow b_2 5))))) (/ 1 (+ b_2 (sqrt (pow b_2 5))))))>
#<alt (* c (- (* c (+ (* 1/2 (* (/ a (pow (+ b_2 (sqrt (pow b_2 5))) 2)) (sqrt (/ 1 (pow b_2 5))))) (* c (+ (* -1/4 (/ (pow a 2) (* (pow b_2 5) (pow (+ b_2 (sqrt (pow b_2 5))) 3)))) (* -1/8 (* (/ (pow a 2) (pow (+ b_2 (sqrt (pow b_2 5))) 2)) (sqrt (/ 1 (pow b_2 15))))))))) (/ 1 (+ b_2 (sqrt (pow b_2 5))))))>
#<alt (* c (- (* c (+ (* 1/2 (* (/ a (pow (+ b_2 (sqrt (pow b_2 5))) 2)) (sqrt (/ 1 (pow b_2 5))))) (* c (+ (* -1/4 (/ (pow a 2) (* (pow b_2 5) (pow (+ b_2 (sqrt (pow b_2 5))) 3)))) (+ (* -1/8 (* (/ (pow a 2) (pow (+ b_2 (sqrt (pow b_2 5))) 2)) (sqrt (/ 1 (pow b_2 15))))) (* c (+ (* -1/2 (* (/ (* a (+ (* -1/4 (/ (pow a 2) (* (pow b_2 5) (pow (+ b_2 (sqrt (pow b_2 5))) 3)))) (* -1/8 (* (/ (pow a 2) (pow (+ b_2 (sqrt (pow b_2 5))) 2)) (sqrt (/ 1 (pow b_2 15))))))) (+ b_2 (sqrt (pow b_2 5)))) (sqrt (/ 1 (pow b_2 5))))) (+ (* 1/16 (* (/ (pow a 3) (pow (+ b_2 (sqrt (pow b_2 5))) 2)) (sqrt (/ 1 (pow b_2 25))))) (* 1/16 (/ (pow a 3) (* (pow b_2 10) (pow (+ b_2 (sqrt (pow b_2 5))) 3)))))))))))) (/ 1 (+ b_2 (sqrt (pow b_2 5))))))>
#<alt (* -1 (sqrt (/ c a)))>
#<alt (+ (* -1 (sqrt (/ c a))) (/ b_2 a))>
#<alt (- (+ (* -1 (sqrt (/ c a))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (pow b_2 5))) (* (sqrt (/ (pow c 3) (pow a 3))) (pow b_2 2))) (pow c 2)))) (* -1 (/ b_2 a)))>
#<alt (- (+ (* -1 (sqrt (/ c a))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (* b_2 (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (pow b_2 5))) (* (sqrt (/ (pow c 3) (pow a 3))) (pow b_2 2)))))) (* 1/2 (/ (* (pow b_2 6) (pow c 2)) (pow a 2)))) (pow c 3)))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 5))) (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))>
#<alt (sqrt (/ c a))>
#<alt (+ (sqrt (/ c a)) (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))))>
#<alt (+ (sqrt (/ c a)) (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 7) (pow (sqrt -1) 2))))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 2))))) c)))>
#<alt (+ (sqrt (/ c a)) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 7) (pow (sqrt -1) 2)))))))) (* -1/2 (/ (* (pow b_2 8) c) (* (pow a 2) (pow (sqrt -1) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 7) (pow (sqrt -1) 2)))))) c)) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 2))))) c)))>
#<alt (* -1 (sqrt (/ c a)))>
#<alt (+ (* -1 (sqrt (/ c a))) (/ b_2 a))>
#<alt (+ (* -1 (sqrt (/ c a))) (* b_2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) b_2)) (/ 1 a))))>
#<alt (+ (* -1 (sqrt (/ c a))) (* b_2 (+ (* b_2 (+ (* -1 (sqrt (/ 1 (* (pow a 3) c)))) (/ b_2 (* (pow a 2) c)))) (/ 1 a))))>
#<alt (* -1 (/ c (pow b_2 3)))>
#<alt (/ (+ (* -1 c) (/ c (pow b_2 2))) (pow b_2 3))>
#<alt (/ (+ (* -1 c) (+ (* -1 (/ c (pow b_2 4))) (/ c (pow b_2 2)))) (pow b_2 3))>
#<alt (/ (+ (* -1 c) (+ (* -1 (/ c (pow b_2 4))) (+ (* 1/2 (/ (* a (pow c 2)) (pow b_2 6))) (+ (/ c (pow b_2 2)) (/ c (pow b_2 6)))))) (pow b_2 3))>
#<alt (/ c (pow b_2 3))>
#<alt (* -1 (/ (+ (* -1 c) (* -1 (/ c (pow b_2 2)))) (pow b_2 3)))>
#<alt (* -1 (/ (+ (* -1 c) (+ (* -1 (/ c (pow b_2 2))) (* -1 (/ c (pow b_2 4))))) (pow b_2 3)))>
#<alt (* -1 (/ (+ (* -1 c) (+ (* -1 (/ c (pow b_2 2))) (+ (* -1 (/ c (pow b_2 4))) (+ (* -1 (/ c (pow b_2 6))) (* 1/2 (/ (* a (pow c 2)) (pow b_2 6))))))) (pow b_2 3)))>
#<alt (* -1 (/ c (+ b_2 (sqrt (pow b_2 5)))))>
#<alt (+ (* -1 (/ c (+ b_2 (sqrt (pow b_2 5))))) (* 1/2 (* (/ (* a (pow c 2)) (pow (+ b_2 (sqrt (pow b_2 5))) 2)) (sqrt (/ 1 (pow b_2 5))))))>
#<alt (+ (* -1 (/ c (+ b_2 (sqrt (pow b_2 5))))) (* a (+ (* 1/2 (* (sqrt (/ 1 (pow b_2 5))) (/ (pow c 2) (pow (+ b_2 (sqrt (pow b_2 5))) 2)))) (* a (+ (* -1/4 (/ (pow c 3) (* (pow b_2 5) (pow (+ b_2 (sqrt (pow b_2 5))) 3)))) (* -1/8 (* (sqrt (/ 1 (pow b_2 15))) (/ (pow c 3) (pow (+ b_2 (sqrt (pow b_2 5))) 2)))))))))>
#<alt (+ (* -1 (/ c (+ b_2 (sqrt (pow b_2 5))))) (* a (+ (* 1/2 (* (sqrt (/ 1 (pow b_2 5))) (/ (pow c 2) (pow (+ b_2 (sqrt (pow b_2 5))) 2)))) (* a (+ (* -1/4 (/ (pow c 3) (* (pow b_2 5) (pow (+ b_2 (sqrt (pow b_2 5))) 3)))) (+ (* -1/8 (* (sqrt (/ 1 (pow b_2 15))) (/ (pow c 3) (pow (+ b_2 (sqrt (pow b_2 5))) 2)))) (* a (+ (* -1/2 (* (sqrt (/ 1 (pow b_2 5))) (/ (* c (+ (* -1/4 (/ (pow c 3) (* (pow b_2 5) (pow (+ b_2 (sqrt (pow b_2 5))) 3)))) (* -1/8 (* (sqrt (/ 1 (pow b_2 15))) (/ (pow c 3) (pow (+ b_2 (sqrt (pow b_2 5))) 2)))))) (+ b_2 (sqrt (pow b_2 5)))))) (+ (* 1/16 (* (sqrt (/ 1 (pow b_2 25))) (/ (pow c 4) (pow (+ b_2 (sqrt (pow b_2 5))) 2)))) (* 1/16 (/ (pow c 4) (* (pow b_2 10) (pow (+ b_2 (sqrt (pow b_2 5))) 3)))))))))))))>
#<alt (* -1 (sqrt (/ c a)))>
#<alt (/ (+ b_2 (* -1 (sqrt (* a c)))) a)>
#<alt (/ (+ b_2 (+ (* -1 (sqrt (* a c))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 5)))))) a)>
#<alt (/ (+ b_2 (+ (* -1 (sqrt (* a c))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) c)) (pow b_2 2))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (pow b_2 5))))))) (+ (* -1/2 (/ (pow b_2 6) (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 5)))))))) a)>
#<alt (sqrt (/ c a))>
#<alt (* -1 (/ (+ (* -1 (sqrt (* a c))) (/ b_2 (pow (sqrt -1) 2))) a))>
#<alt (* -1 (/ (+ (* -1 (sqrt (* a c))) (* -1 (/ (+ (* -1 (/ (* a b_2) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 6) (pow (sqrt -1) 2))))) a))) a))) a))>
#<alt (* -1 (/ (+ (* -1 (sqrt (* a c))) (* -1 (/ (+ (* -1 (/ (* a b_2) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 2)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 6) (pow (sqrt -1) 2)))))))) (* -1/2 (/ (* (pow a 2) (pow b_2 7)) (* c (pow (sqrt -1) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 6) (pow (sqrt -1) 2)))))) a))) a))) a))>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (* -1 c)>
#<alt (sqrt (* a c))>
#<alt (+ b_2 (sqrt (* a c)))>
#<alt (+ (sqrt (* a c)) (* b_2 (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 3))))))>
#<alt (+ (sqrt (* a c)) (* b_2 (+ 1 (* (pow b_2 3) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 4))) (* 1/2 (sqrt (/ 1 (* a c)))))))))>
#<alt (sqrt (pow b_2 5))>
#<alt (* (pow b_2 3) (+ (sqrt (/ 1 b_2)) (/ 1 (pow b_2 2))))>
#<alt (* (pow b_2 3) (+ (sqrt (/ 1 b_2)) (+ (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 11))))) (/ 1 (pow b_2 2)))))>
#<alt (* (pow b_2 3) (+ (sqrt (/ 1 b_2)) (+ (* -1/8 (* (* (pow a 2) (pow c 2)) (sqrt (/ 1 (pow b_2 21))))) (+ (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 11))))) (/ 1 (pow b_2 2))))))>
#<alt (* -1 (* (sqrt (pow b_2 5)) (sqrt -1)))>
#<alt (* -1 (* (pow b_2 3) (- (* (sqrt (/ 1 b_2)) (sqrt -1)) (/ 1 (pow b_2 2)))))>
#<alt (* -1 (* (pow b_2 3) (- (+ (* 1/2 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 11))))) (* (sqrt (/ 1 b_2)) (sqrt -1))) (/ 1 (pow b_2 2)))))>
#<alt (* -1 (* (pow b_2 3) (- (+ (* -1/8 (* (* (pow a 2) (* (pow c 2) (sqrt -1))) (sqrt (/ 1 (pow b_2 21))))) (+ (* 1/2 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 11))))) (* (sqrt (/ 1 b_2)) (sqrt -1)))) (/ 1 (pow b_2 2)))))>
#<alt (+ b_2 (pow b_2 2))>
#<alt (+ b_2 (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow b_2 2)))>
#<alt (+ b_2 (+ (* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 6))) (* 1/2 (/ c (pow b_2 2))))) (pow b_2 2)))>
#<alt (+ b_2 (+ (* a (+ (* 1/2 (/ c (pow b_2 2))) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 6))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 10))))))) (pow b_2 2)))>
#<alt (sqrt (* a c))>
#<alt (* a (+ (sqrt (/ c a)) (/ b_2 a)))>
#<alt (* a (+ (sqrt (/ c a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 4))) (/ b_2 a))))>
#<alt (* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 8))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 4))) (/ b_2 a)))))>
#<alt (* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 6)))) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 12) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ a c)) (pow b_2 6)))) a))) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))>
#<alt (+ b_2 (pow b_2 2))>
#<alt (+ b_2 (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow b_2 2)))>
#<alt (+ b_2 (+ (* c (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 6))) (* 1/2 (/ a (pow b_2 2))))) (pow b_2 2)))>
#<alt (+ b_2 (+ (* c (+ (* 1/2 (/ a (pow b_2 2))) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 6))) (* 1/16 (/ (* (pow a 3) c) (pow b_2 10))))))) (pow b_2 2)))>
#<alt (sqrt c)>
#<alt (* c (+ (sqrt (/ 1 c)) (/ b_2 c)))>
#<alt (* c (+ (sqrt (/ 1 c)) (+ (* 1/2 (* (pow b_2 4) (sqrt (/ 1 (pow c 3))))) (/ b_2 c))))>
#<alt (* c (+ (sqrt (/ 1 c)) (+ (* -1/8 (* (pow b_2 8) (sqrt (/ 1 (pow c 5))))) (+ (* 1/2 (* (pow b_2 4) (sqrt (/ 1 (pow c 3))))) (/ b_2 c)))))>
#<alt (* -1 (* (sqrt c) (pow (sqrt -1) 2)))>
#<alt (* -1 (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b_2 (* -1/2 (* (pow b_2 6) (sqrt (/ 1 c))))) c)) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (/ (pow b_2 12) (pow (sqrt -1) 2)) (sqrt (/ 1 c)))) (* 1/2 (* (pow b_2 6) (sqrt c)))) c))) c)) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))>
#<alt (sqrt (* a c))>
#<alt (+ (sqrt (* a c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 4))))>
#<alt (+ (sqrt (* a c)) (* (pow b_2 4) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 4))) (* 1/2 (sqrt (/ 1 (* a c)))))))>
#<alt (+ (sqrt (* a c)) (* (pow b_2 4) (+ (* 1/2 (sqrt (/ 1 (* a c)))) (* (pow b_2 4) (+ (* -1/8 (sqrt (/ 1 (* (pow a 3) (pow c 3))))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 4))))))))>
#<alt (sqrt (pow b_2 5))>
#<alt (* (pow b_2 3) (+ (sqrt (/ 1 b_2)) (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 11)))))))>
#<alt (* (pow b_2 3) (+ (sqrt (/ 1 b_2)) (+ (* -1/8 (* (* (pow a 2) (pow c 2)) (sqrt (/ 1 (pow b_2 21))))) (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 11))))))))>
#<alt (* (pow b_2 3) (+ (sqrt (/ 1 b_2)) (+ (* -1/8 (* (* (pow a 2) (pow c 2)) (sqrt (/ 1 (pow b_2 21))))) (+ (* 1/16 (* (* (pow a 3) (pow c 3)) (sqrt (/ 1 (pow b_2 31))))) (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 11)))))))))>
#<alt (* -1 (* (sqrt (pow b_2 5)) (sqrt -1)))>
#<alt (* -1 (* (pow b_2 3) (+ (* 1/2 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 11))))) (* (sqrt (/ 1 b_2)) (sqrt -1)))))>
#<alt (* -1 (* (pow b_2 3) (+ (* -1/8 (* (* (pow a 2) (* (pow c 2) (sqrt -1))) (sqrt (/ 1 (pow b_2 21))))) (+ (* 1/2 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 11))))) (* (sqrt (/ 1 b_2)) (sqrt -1))))))>
#<alt (* -1 (* (pow b_2 3) (+ (* -1/8 (* (* (pow a 2) (* (pow c 2) (sqrt -1))) (sqrt (/ 1 (pow b_2 21))))) (+ (* 1/16 (* (* (pow a 3) (* (pow c 3) (sqrt -1))) (sqrt (/ 1 (pow b_2 31))))) (+ (* 1/2 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 11))))) (* (sqrt (/ 1 b_2)) (sqrt -1)))))))>
#<alt (pow b_2 2)>
#<alt (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow b_2 2))>
#<alt (+ (* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 6))) (* 1/2 (/ c (pow b_2 2))))) (pow b_2 2))>
#<alt (+ (* a (+ (* 1/2 (/ c (pow b_2 2))) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 6))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 10))))))) (pow b_2 2))>
#<alt (sqrt (* a c))>
#<alt (* a (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 4)))))>
#<alt (* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 8))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 4))))))>
#<alt (* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 8))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (pow b_2 12))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 4)))))))>
#<alt (* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 6))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 12) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 6))) (* (sqrt (/ c a)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 12) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 18) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 6))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))))>
#<alt (pow b_2 2)>
#<alt (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow b_2 2))>
#<alt (+ (* c (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 6))) (* 1/2 (/ a (pow b_2 2))))) (pow b_2 2))>
#<alt (+ (* c (+ (* 1/2 (/ a (pow b_2 2))) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 6))) (* 1/16 (/ (* (pow a 3) c) (pow b_2 10))))))) (pow b_2 2))>
#<alt (sqrt c)>
#<alt (* c (+ (sqrt (/ 1 c)) (* 1/2 (* (pow b_2 4) (sqrt (/ 1 (pow c 3)))))))>
#<alt (* c (+ (sqrt (/ 1 c)) (+ (* -1/8 (* (pow b_2 8) (sqrt (/ 1 (pow c 5))))) (* 1/2 (* (pow b_2 4) (sqrt (/ 1 (pow c 3))))))))>
#<alt (* c (+ (sqrt (/ 1 c)) (+ (* -1/8 (* (pow b_2 8) (sqrt (/ 1 (pow c 5))))) (+ (* 1/16 (* (pow b_2 12) (sqrt (/ 1 (pow c 7))))) (* 1/2 (* (pow b_2 4) (sqrt (/ 1 (pow c 3)))))))))>
#<alt (* -1 (* (sqrt c) (pow (sqrt -1) 2)))>
#<alt (* -1 (* c (+ (* 1/2 (* (pow b_2 6) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* c (+ (* -1/8 (* (/ (pow b_2 12) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow c 5))))) (+ (* 1/2 (* (pow b_2 6) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* c (+ (* -1/8 (* (/ (pow b_2 12) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow c 5))))) (+ (* 1/16 (* (/ (pow b_2 18) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow c 7))))) (+ (* 1/2 (* (pow b_2 6) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (pow (sqrt -1) 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 (/ (pow b_2 2) a)>
#<alt (/ (pow b_2 2) a)>
#<alt (/ (pow b_2 2) a)>
#<alt (/ (pow b_2 2) a)>
#<alt (/ (pow b_2 2) a)>
#<alt (/ (pow b_2 2) a)>
#<alt (/ (pow b_2 2) a)>
#<alt (/ (pow b_2 2) a)>
#<alt (/ (pow b_2 3) a)>
#<alt (/ (pow b_2 3) a)>
#<alt (/ (pow b_2 3) a)>
#<alt (/ (pow b_2 3) a)>
#<alt (/ (pow b_2 2) a)>
#<alt (/ (pow b_2 2) a)>
#<alt (/ (pow b_2 2) a)>
#<alt (/ (pow b_2 2) a)>
#<alt (/ (pow b_2 3) a)>
#<alt (/ (pow b_2 3) a)>
#<alt (/ (pow b_2 3) a)>
#<alt (/ (pow b_2 3) a)>
#<alt (* -1 (/ (pow b_2 3) a))>
#<alt (* -1 (/ (pow b_2 3) a))>
#<alt (* -1 (/ (pow b_2 3) a))>
#<alt (* -1 (/ (pow b_2 3) a))>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt b_2>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (pow b_2 2)>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (* -1 (/ b_2 a))>
#<alt (/ -1 (* a b_2))>
#<alt (/ -1 (* a b_2))>
#<alt (/ -1 (* a b_2))>
#<alt (/ -1 (* a b_2))>
#<alt (/ -1 (* a b_2))>
#<alt (/ -1 (* a b_2))>
#<alt (/ -1 (* a b_2))>
#<alt (/ -1 (* a b_2))>
#<alt (/ -1 (* a b_2))>
#<alt (/ -1 (* a b_2))>
#<alt (/ -1 (* a b_2))>
#<alt (/ -1 (* a b_2))>
#<alt (/ -1 (* a b_2))>
#<alt (/ -1 (* a b_2))>
#<alt (/ -1 (* a b_2))>
#<alt (/ -1 (* a b_2))>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ -1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (/ 1 a)>
#<alt (* a b_2)>
#<alt (* a b_2)>
#<alt (* a b_2)>
#<alt (* a b_2)>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt 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 (sqrt (/ c a))>
#<alt (+ (sqrt (/ c a)) (* -1 (/ b_2 a)))>
#<alt (+ (sqrt (/ c a)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 3))) (/ 1 a))))>
#<alt (+ (sqrt (/ c a)) (* b_2 (- (* (pow b_2 3) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (sqrt (/ 1 (* (pow a 3) c)))))) (/ 1 a))))>
#<alt (* (/ 1 a) (sqrt (pow b_2 5)))>
#<alt (* (pow b_2 3) (- (* (/ 1 a) (sqrt (/ 1 b_2))) (/ 1 (* a (pow b_2 2)))))>
#<alt (* (pow b_2 3) (- (+ (* 1/2 (* (sqrt (/ 1 (pow b_2 11))) c)) (* (/ 1 a) (sqrt (/ 1 b_2)))) (/ 1 (* a (pow b_2 2)))))>
#<alt (* (pow b_2 3) (- (+ (* -1/8 (* (* a (pow c 2)) (sqrt (/ 1 (pow b_2 21))))) (+ (* 1/2 (* (sqrt (/ 1 (pow b_2 11))) c)) (* (/ 1 a) (sqrt (/ 1 b_2))))) (/ 1 (* a (pow b_2 2)))))>
#<alt (* -1 (* (/ (sqrt -1) a) (sqrt (pow b_2 5))))>
#<alt (* -1 (* (pow b_2 3) (+ (* (/ (sqrt -1) a) (sqrt (/ 1 b_2))) (/ 1 (* a (pow b_2 2))))))>
#<alt (* -1 (* (pow b_2 3) (+ (* 1/2 (* (sqrt (/ 1 (pow b_2 11))) (* c (sqrt -1)))) (+ (* (/ (sqrt -1) a) (sqrt (/ 1 b_2))) (/ 1 (* a (pow b_2 2)))))))>
#<alt (* -1 (* (pow b_2 3) (+ (* -1/8 (* (* a (* (pow c 2) (sqrt -1))) (sqrt (/ 1 (pow b_2 21))))) (+ (* 1/2 (* (sqrt (/ 1 (pow b_2 11))) (* c (sqrt -1)))) (+ (* (/ (sqrt -1) a) (sqrt (/ 1 b_2))) (/ 1 (* a (pow b_2 2))))))))>
#<alt (/ (- (pow b_2 2) b_2) a)>
#<alt (/ (- (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow b_2 2)) b_2) a)>
#<alt (/ (- (+ (* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 6))) (* 1/2 (/ c (pow b_2 2))))) (pow b_2 2)) b_2) a)>
#<alt (/ (- (+ (* a (+ (* 1/2 (/ c (pow b_2 2))) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 6))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 10))))))) (pow b_2 2)) b_2) a)>
#<alt (sqrt (/ c a))>
#<alt (+ (sqrt (/ c a)) (* -1 (/ b_2 a)))>
#<alt (+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 4)))))>
#<alt (+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 8))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 4))))))>
#<alt (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ b_2 a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 6)))) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (pow b_2 6))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 12) (pow (sqrt -1) 2))))) a))) a)))>
#<alt (/ (- (pow b_2 2) b_2) a)>
#<alt (- (+ (* 1/2 (/ c (pow b_2 2))) (/ (pow b_2 2) a)) (/ b_2 a))>
#<alt (- (+ (* c (+ (* -1/8 (/ (* a c) (pow b_2 6))) (* 1/2 (/ 1 (pow b_2 2))))) (/ (pow b_2 2) a)) (/ b_2 a))>
#<alt (- (+ (* c (+ (* c (+ (* -1/8 (/ a (pow b_2 6))) (* 1/16 (/ (* (pow a 2) c) (pow b_2 10))))) (* 1/2 (/ 1 (pow b_2 2))))) (/ (pow b_2 2) a)) (/ b_2 a))>
#<alt (* (/ 1 a) (sqrt c))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (/ 1 a) (sqrt (/ 1 c)))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (/ (pow b_2 4) a) (sqrt (/ 1 (pow c 3))))) (* (/ 1 a) (sqrt (/ 1 c))))))>
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (/ (pow b_2 8) a) (sqrt (/ 1 (pow c 5))))) (+ (* 1/2 (* (/ (pow b_2 4) a) (sqrt (/ 1 (pow c 3))))) (* (/ 1 a) (sqrt (/ 1 c)))))))>
#<alt (* -1 (* (/ (pow (sqrt -1) 2) a) (sqrt c)))>
#<alt (* -1 (* c (+ (* (/ (pow (sqrt -1) 2) a) (sqrt (/ 1 c))) (/ b_2 (* a c)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (/ (pow b_2 6) a) (sqrt (/ 1 c))))) c)) (* (/ (pow (sqrt -1) 2) a) (sqrt (/ 1 c))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (/ (pow b_2 12) (* a (pow (sqrt -1) 2))) (sqrt (/ 1 c)))) (* 1/2 (* (/ (pow b_2 6) a) (sqrt c)))) c))) c)) (* (/ (pow (sqrt -1) 2) a) (sqrt (/ 1 c))))))>
#<alt (sqrt (* a c))>
#<alt (+ (sqrt (* a c)) (* -1 b_2))>
#<alt (+ (sqrt (* a c)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 3))) 1)))>
#<alt (+ (sqrt (* a c)) (* b_2 (- (* (pow b_2 3) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 4))) (* 1/2 (sqrt (/ 1 (* a c)))))) 1)))>
#<alt (sqrt (pow b_2 5))>
#<alt (* (pow b_2 3) (- (sqrt (/ 1 b_2)) (/ 1 (pow b_2 2))))>
#<alt (* (pow b_2 3) (- (+ (sqrt (/ 1 b_2)) (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 11)))))) (/ 1 (pow b_2 2))))>
#<alt (* (pow b_2 3) (- (+ (sqrt (/ 1 b_2)) (+ (* -1/8 (* (* (pow a 2) (pow c 2)) (sqrt (/ 1 (pow b_2 21))))) (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 11))))))) (/ 1 (pow b_2 2))))>
#<alt (* -1 (* (sqrt (pow b_2 5)) (sqrt -1)))>
#<alt (* -1 (* (pow b_2 3) (+ (* (sqrt (/ 1 b_2)) (sqrt -1)) (/ 1 (pow b_2 2)))))>
#<alt (* -1 (* (pow b_2 3) (+ (* 1/2 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 11))))) (+ (* (sqrt (/ 1 b_2)) (sqrt -1)) (/ 1 (pow b_2 2))))))>
#<alt (* -1 (* (pow b_2 3) (+ (* -1/8 (* (* (pow a 2) (* (pow c 2) (sqrt -1))) (sqrt (/ 1 (pow b_2 21))))) (+ (* 1/2 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 11))))) (+ (* (sqrt (/ 1 b_2)) (sqrt -1)) (/ 1 (pow b_2 2)))))))>
#<alt (- (pow b_2 2) b_2)>
#<alt (- (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow b_2 2)) b_2)>
#<alt (- (+ (* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 6))) (* 1/2 (/ c (pow b_2 2))))) (pow b_2 2)) b_2)>
#<alt (- (+ (* a (+ (* 1/2 (/ c (pow b_2 2))) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 6))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 10))))))) (pow b_2 2)) b_2)>
#<alt (sqrt (* a c))>
#<alt (* a (+ (sqrt (/ c a)) (* -1 (/ b_2 a))))>
#<alt (* a (- (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 4)))) (/ b_2 a)))>
#<alt (* a (- (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 8))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 4))))) (/ b_2 a)))>
#<alt (* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))>
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 2)) (/ b_2 a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 6))) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 12) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ a c)) (pow b_2 6)))) a)) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))>
#<alt (- (pow b_2 2) b_2)>
#<alt (- (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow b_2 2)) b_2)>
#<alt (- (+ (* c (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 6))) (* 1/2 (/ a (pow b_2 2))))) (pow b_2 2)) b_2)>
#<alt (- (+ (* c (+ (* 1/2 (/ a (pow b_2 2))) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 6))) (* 1/16 (/ (* (pow a 3) c) (pow b_2 10))))))) (pow b_2 2)) b_2)>
#<alt (sqrt c)>
#<alt (* c (+ (sqrt (/ 1 c)) (* -1 (/ b_2 c))))>
#<alt (* c (- (+ (sqrt (/ 1 c)) (* 1/2 (* (pow b_2 4) (sqrt (/ 1 (pow c 3)))))) (/ b_2 c)))>
#<alt (* c (- (+ (sqrt (/ 1 c)) (+ (* -1/8 (* (pow b_2 8) (sqrt (/ 1 (pow c 5))))) (* 1/2 (* (pow b_2 4) (sqrt (/ 1 (pow c 3))))))) (/ b_2 c)))>
#<alt (* -1 (* (sqrt c) (pow (sqrt -1) 2)))>
#<alt (* -1 (* c (+ (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)) (/ b_2 c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (pow b_2 6) (sqrt (/ 1 c)))) b_2) c)) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (/ (pow b_2 12) (pow (sqrt -1) 2)) (sqrt (/ 1 c)))) (* 1/2 (* (pow b_2 6) (sqrt c)))) c)) b_2) c)) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))>
#<alt (* a c)>
#<alt (+ (* a c) (pow b_2 4))>
#<alt (+ (* a c) (pow b_2 4))>
#<alt (+ (* a c) (pow b_2 4))>
#<alt (pow b_2 5)>
#<alt (* (pow b_2 5) (+ 1 (/ (* a c) (pow b_2 5))))>
#<alt (* (pow b_2 5) (+ 1 (/ (* a c) (pow b_2 5))))>
#<alt (* (pow b_2 5) (+ 1 (/ (* a c) (pow b_2 5))))>
#<alt (* -1 (pow b_2 5))>
#<alt (* -1 (* (pow b_2 5) (+ 1 (* -1 (/ (* a c) (pow b_2 5))))))>
#<alt (* -1 (* (pow b_2 5) (+ 1 (* -1 (/ (* a c) (pow b_2 5))))))>
#<alt (* -1 (* (pow b_2 5) (+ 1 (* -1 (/ (* a c) (pow b_2 5))))))>
#<alt (pow b_2 4)>
#<alt (+ (* a c) (pow b_2 4))>
#<alt (+ (* a c) (pow b_2 4))>
#<alt (+ (* a c) (pow b_2 4))>
#<alt (* a c)>
#<alt (* a (+ c (/ (pow b_2 4) a)))>
#<alt (* a (+ c (/ (pow b_2 4) a)))>
#<alt (* a (+ c (/ (pow b_2 4) a)))>
#<alt (* a c)>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 6) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 6) a)))))>
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 6) a)))))>
#<alt (pow b_2 4)>
#<alt (+ (* a c) (pow b_2 4))>
#<alt (+ (* a c) (pow b_2 4))>
#<alt (+ (* a c) (pow b_2 4))>
#<alt c>
#<alt (* c (+ 1 (/ (pow b_2 4) c)))>
#<alt (* c (+ 1 (/ (pow b_2 4) c)))>
#<alt (* c (+ 1 (/ (pow b_2 4) c)))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 6) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 6) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 6) c)) 1)))>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>
#<alt (* a c)>

Calls

96 calls:

Time	Variable		Point	Expression
17.0ms	c	@	0	(/ (neg c) (+ b_2 (sqrt (+ (* b_2 b_2) (* a c)))))
4.0ms	c	@	inf	(/ (- (sqrt (+ (* b_2 b_2) (* a c))) b_2) a)
2.0ms	c	@	-inf	(/ (neg c) (+ b_2 (sqrt (+ (* b_2 b_2) (* a c)))))
1.0ms	c	@	inf	(/ (neg c) (+ b_2 (sqrt (+ (* b_2 b_2) (* a c)))))
1.0ms	b_2	@	inf	(/ (- (sqrt (+ (* b_2 b_2) (* a c))) b_2) a)

Compiler

Compiled 1 021 to 723 computations (29.2% saved)

rewrite327.0ms (3%)

Memory

5.7MiB live, 430.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 460×	`lower-fma.f32`
6 458×	`lower-fma.f64`
5 276×	`lower-*.f32`
5 266×	`lower-*.f64`
4 220×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	91
0	35	91
1	125	88
2	796	84
0	8603	84

Stop Event

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

Counts

15 → 863

Calls

Call 1

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

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

simplify440.0ms (4%)

Memory

26.7MiB live, 729.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12 278×	`lower-fma.f64`
12 278×	`lower-fma.f32`
8 370×	`lower-*.f64`
8 370×	`lower-*.f32`
5 200×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	874	5838
1	2760	5539
0	8411	5328

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 362

Calls

Call 1

Inputs
(* -1 (/ c (+ b_2 (sqrt (pow b_2 5)))))
(* c (- (* 1/2 (* (/ (* a c) (pow (+ b_2 (sqrt (pow b_2 5))) 2)) (sqrt (/ 1 (pow b_2 5))))) (/ 1 (+ b_2 (sqrt (pow b_2 5))))))
(* c (- (* c (+ (* 1/2 (* (/ a (pow (+ b_2 (sqrt (pow b_2 5))) 2)) (sqrt (/ 1 (pow b_2 5))))) (* c (+ (* -1/4 (/ (pow a 2) (* (pow b_2 5) (pow (+ b_2 (sqrt (pow b_2 5))) 3)))) (* -1/8 (* (/ (pow a 2) (pow (+ b_2 (sqrt (pow b_2 5))) 2)) (sqrt (/ 1 (pow b_2 15))))))))) (/ 1 (+ b_2 (sqrt (pow b_2 5))))))
(* c (- (* c (+ (* 1/2 (* (/ a (pow (+ b_2 (sqrt (pow b_2 5))) 2)) (sqrt (/ 1 (pow b_2 5))))) (* c (+ (* -1/4 (/ (pow a 2) (* (pow b_2 5) (pow (+ b_2 (sqrt (pow b_2 5))) 3)))) (+ (* -1/8 (* (/ (pow a 2) (pow (+ b_2 (sqrt (pow b_2 5))) 2)) (sqrt (/ 1 (pow b_2 15))))) (* c (+ (* -1/2 (* (/ (* a (+ (* -1/4 (/ (pow a 2) (* (pow b_2 5) (pow (+ b_2 (sqrt (pow b_2 5))) 3)))) (* -1/8 (* (/ (pow a 2) (pow (+ b_2 (sqrt (pow b_2 5))) 2)) (sqrt (/ 1 (pow b_2 15))))))) (+ b_2 (sqrt (pow b_2 5)))) (sqrt (/ 1 (pow b_2 5))))) (+ (* 1/16 (* (/ (pow a 3) (pow (+ b_2 (sqrt (pow b_2 5))) 2)) (sqrt (/ 1 (pow b_2 25))))) (* 1/16 (/ (pow a 3) (* (pow b_2 10) (pow (+ b_2 (sqrt (pow b_2 5))) 3)))))))))))) (/ 1 (+ b_2 (sqrt (pow b_2 5))))))
(* -1 (sqrt (/ c a)))
(+ (* -1 (sqrt (/ c a))) (/ b_2 a))
(- (+ (* -1 (sqrt (/ c a))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (pow b_2 5))) (* (sqrt (/ (pow c 3) (pow a 3))) (pow b_2 2))) (pow c 2)))) (* -1 (/ b_2 a)))
(- (+ (* -1 (sqrt (/ c a))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (* b_2 (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (pow b_2 5))) (* (sqrt (/ (pow c 3) (pow a 3))) (pow b_2 2)))))) (* 1/2 (/ (* (pow b_2 6) (pow c 2)) (pow a 2)))) (pow c 3)))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 5))) (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 2)))))
(sqrt (/ c a))
(+ (sqrt (/ c a)) (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))))
(+ (sqrt (/ c a)) (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b_2 7) (pow (sqrt -1) 2))))) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 2))))) c)))
(+ (sqrt (/ c a)) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 7) (pow (sqrt -1) 2)))))))) (* -1/2 (/ (* (pow b_2 8) c) (* (pow a 2) (pow (sqrt -1) 4))))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 7) (pow (sqrt -1) 2)))))) c)) (* -1 (/ (* b_2 c) (* a (pow (sqrt -1) 2))))) c)))
(* -1 (sqrt (/ c a)))
(+ (* -1 (sqrt (/ c a))) (/ b_2 a))
(+ (* -1 (sqrt (/ c a))) (* b_2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) b_2)) (/ 1 a))))
(+ (* -1 (sqrt (/ c a))) (* b_2 (+ (* b_2 (+ (* -1 (sqrt (/ 1 (* (pow a 3) c)))) (/ b_2 (* (pow a 2) c)))) (/ 1 a))))
(* -1 (/ c (pow b_2 3)))
(/ (+ (* -1 c) (/ c (pow b_2 2))) (pow b_2 3))
(/ (+ (* -1 c) (+ (* -1 (/ c (pow b_2 4))) (/ c (pow b_2 2)))) (pow b_2 3))
(/ (+ (* -1 c) (+ (* -1 (/ c (pow b_2 4))) (+ (* 1/2 (/ (* a (pow c 2)) (pow b_2 6))) (+ (/ c (pow b_2 2)) (/ c (pow b_2 6)))))) (pow b_2 3))
(/ c (pow b_2 3))
(* -1 (/ (+ (* -1 c) (* -1 (/ c (pow b_2 2)))) (pow b_2 3)))
(* -1 (/ (+ (* -1 c) (+ (* -1 (/ c (pow b_2 2))) (* -1 (/ c (pow b_2 4))))) (pow b_2 3)))
(* -1 (/ (+ (* -1 c) (+ (* -1 (/ c (pow b_2 2))) (+ (* -1 (/ c (pow b_2 4))) (+ (* -1 (/ c (pow b_2 6))) (* 1/2 (/ (* a (pow c 2)) (pow b_2 6))))))) (pow b_2 3)))
(* -1 (/ c (+ b_2 (sqrt (pow b_2 5)))))
(+ (* -1 (/ c (+ b_2 (sqrt (pow b_2 5))))) (* 1/2 (* (/ (* a (pow c 2)) (pow (+ b_2 (sqrt (pow b_2 5))) 2)) (sqrt (/ 1 (pow b_2 5))))))
(+ (* -1 (/ c (+ b_2 (sqrt (pow b_2 5))))) (* a (+ (* 1/2 (* (sqrt (/ 1 (pow b_2 5))) (/ (pow c 2) (pow (+ b_2 (sqrt (pow b_2 5))) 2)))) (* a (+ (* -1/4 (/ (pow c 3) (* (pow b_2 5) (pow (+ b_2 (sqrt (pow b_2 5))) 3)))) (* -1/8 (* (sqrt (/ 1 (pow b_2 15))) (/ (pow c 3) (pow (+ b_2 (sqrt (pow b_2 5))) 2)))))))))
(+ (* -1 (/ c (+ b_2 (sqrt (pow b_2 5))))) (* a (+ (* 1/2 (* (sqrt (/ 1 (pow b_2 5))) (/ (pow c 2) (pow (+ b_2 (sqrt (pow b_2 5))) 2)))) (* a (+ (* -1/4 (/ (pow c 3) (* (pow b_2 5) (pow (+ b_2 (sqrt (pow b_2 5))) 3)))) (+ (* -1/8 (* (sqrt (/ 1 (pow b_2 15))) (/ (pow c 3) (pow (+ b_2 (sqrt (pow b_2 5))) 2)))) (* a (+ (* -1/2 (* (sqrt (/ 1 (pow b_2 5))) (/ (* c (+ (* -1/4 (/ (pow c 3) (* (pow b_2 5) (pow (+ b_2 (sqrt (pow b_2 5))) 3)))) (* -1/8 (* (sqrt (/ 1 (pow b_2 15))) (/ (pow c 3) (pow (+ b_2 (sqrt (pow b_2 5))) 2)))))) (+ b_2 (sqrt (pow b_2 5)))))) (+ (* 1/16 (* (sqrt (/ 1 (pow b_2 25))) (/ (pow c 4) (pow (+ b_2 (sqrt (pow b_2 5))) 2)))) (* 1/16 (/ (pow c 4) (* (pow b_2 10) (pow (+ b_2 (sqrt (pow b_2 5))) 3)))))))))))))
(* -1 (sqrt (/ c a)))
(/ (+ b_2 (* -1 (sqrt (* a c)))) a)
(/ (+ b_2 (+ (* -1 (sqrt (* a c))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 5)))))) a)
(/ (+ b_2 (+ (* -1 (sqrt (* a c))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (pow b_2 2))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) c)) (pow b_2 2))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (pow b_2 5))))))) (+ (* -1/2 (/ (pow b_2 6) (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 5)))))))) a)
(sqrt (/ c a))
(* -1 (/ (+ (* -1 (sqrt (* a c))) (/ b_2 (pow (sqrt -1) 2))) a))
(* -1 (/ (+ (* -1 (sqrt (* a c))) (* -1 (/ (+ (* -1 (/ (* a b_2) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 6) (pow (sqrt -1) 2))))) a))) a))) a))
(* -1 (/ (+ (* -1 (sqrt (* a c))) (* -1 (/ (+ (* -1 (/ (* a b_2) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 2)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 6) (pow (sqrt -1) 2)))))))) (* -1/2 (/ (* (pow a 2) (pow b_2 7)) (* c (pow (sqrt -1) 4))))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 6) (pow (sqrt -1) 2)))))) a))) a))) a))
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(* -1 c)
(sqrt (* a c))
(+ b_2 (sqrt (* a c)))
(+ (sqrt (* a c)) (* b_2 (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 3))))))
(+ (sqrt (* a c)) (* b_2 (+ 1 (* (pow b_2 3) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 4))) (* 1/2 (sqrt (/ 1 (* a c)))))))))
(sqrt (pow b_2 5))
(* (pow b_2 3) (+ (sqrt (/ 1 b_2)) (/ 1 (pow b_2 2))))
(* (pow b_2 3) (+ (sqrt (/ 1 b_2)) (+ (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 11))))) (/ 1 (pow b_2 2)))))
(* (pow b_2 3) (+ (sqrt (/ 1 b_2)) (+ (* -1/8 (* (* (pow a 2) (pow c 2)) (sqrt (/ 1 (pow b_2 21))))) (+ (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 11))))) (/ 1 (pow b_2 2))))))
(* -1 (* (sqrt (pow b_2 5)) (sqrt -1)))
(* -1 (* (pow b_2 3) (- (* (sqrt (/ 1 b_2)) (sqrt -1)) (/ 1 (pow b_2 2)))))
(* -1 (* (pow b_2 3) (- (+ (* 1/2 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 11))))) (* (sqrt (/ 1 b_2)) (sqrt -1))) (/ 1 (pow b_2 2)))))
(* -1 (* (pow b_2 3) (- (+ (* -1/8 (* (* (pow a 2) (* (pow c 2) (sqrt -1))) (sqrt (/ 1 (pow b_2 21))))) (+ (* 1/2 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 11))))) (* (sqrt (/ 1 b_2)) (sqrt -1)))) (/ 1 (pow b_2 2)))))
(+ b_2 (pow b_2 2))
(+ b_2 (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow b_2 2)))
(+ b_2 (+ (* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 6))) (* 1/2 (/ c (pow b_2 2))))) (pow b_2 2)))
(+ b_2 (+ (* a (+ (* 1/2 (/ c (pow b_2 2))) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 6))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 10))))))) (pow b_2 2)))
(sqrt (* a c))
(* a (+ (sqrt (/ c a)) (/ b_2 a)))
(* a (+ (sqrt (/ c a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 4))) (/ b_2 a))))
(* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 8))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 4))) (/ b_2 a)))))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 6)))) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 12) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ a c)) (pow b_2 6)))) a))) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(+ b_2 (pow b_2 2))
(+ b_2 (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow b_2 2)))
(+ b_2 (+ (* c (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 6))) (* 1/2 (/ a (pow b_2 2))))) (pow b_2 2)))
(+ b_2 (+ (* c (+ (* 1/2 (/ a (pow b_2 2))) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 6))) (* 1/16 (/ (* (pow a 3) c) (pow b_2 10))))))) (pow b_2 2)))
(sqrt c)
(* c (+ (sqrt (/ 1 c)) (/ b_2 c)))
(* c (+ (sqrt (/ 1 c)) (+ (* 1/2 (* (pow b_2 4) (sqrt (/ 1 (pow c 3))))) (/ b_2 c))))
(* c (+ (sqrt (/ 1 c)) (+ (* -1/8 (* (pow b_2 8) (sqrt (/ 1 (pow c 5))))) (+ (* 1/2 (* (pow b_2 4) (sqrt (/ 1 (pow c 3))))) (/ b_2 c)))))
(* -1 (* (sqrt c) (pow (sqrt -1) 2)))
(* -1 (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (+ b_2 (* -1/2 (* (pow b_2 6) (sqrt (/ 1 c))))) c)) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/8 (* (/ (pow b_2 12) (pow (sqrt -1) 2)) (sqrt (/ 1 c)))) (* 1/2 (* (pow b_2 6) (sqrt c)))) c))) c)) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))
(sqrt (* a c))
(+ (sqrt (* a c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 4))))
(+ (sqrt (* a c)) (* (pow b_2 4) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 4))) (* 1/2 (sqrt (/ 1 (* a c)))))))
(+ (sqrt (* a c)) (* (pow b_2 4) (+ (* 1/2 (sqrt (/ 1 (* a c)))) (* (pow b_2 4) (+ (* -1/8 (sqrt (/ 1 (* (pow a 3) (pow c 3))))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (pow b_2 4))))))))
(sqrt (pow b_2 5))
(* (pow b_2 3) (+ (sqrt (/ 1 b_2)) (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 11)))))))
(* (pow b_2 3) (+ (sqrt (/ 1 b_2)) (+ (* -1/8 (* (* (pow a 2) (pow c 2)) (sqrt (/ 1 (pow b_2 21))))) (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 11))))))))
(* (pow b_2 3) (+ (sqrt (/ 1 b_2)) (+ (* -1/8 (* (* (pow a 2) (pow c 2)) (sqrt (/ 1 (pow b_2 21))))) (+ (* 1/16 (* (* (pow a 3) (pow c 3)) (sqrt (/ 1 (pow b_2 31))))) (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 11)))))))))
(* -1 (* (sqrt (pow b_2 5)) (sqrt -1)))
(* -1 (* (pow b_2 3) (+ (* 1/2 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 11))))) (* (sqrt (/ 1 b_2)) (sqrt -1)))))
(* -1 (* (pow b_2 3) (+ (* -1/8 (* (* (pow a 2) (* (pow c 2) (sqrt -1))) (sqrt (/ 1 (pow b_2 21))))) (+ (* 1/2 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 11))))) (* (sqrt (/ 1 b_2)) (sqrt -1))))))
(* -1 (* (pow b_2 3) (+ (* -1/8 (* (* (pow a 2) (* (pow c 2) (sqrt -1))) (sqrt (/ 1 (pow b_2 21))))) (+ (* 1/16 (* (* (pow a 3) (* (pow c 3) (sqrt -1))) (sqrt (/ 1 (pow b_2 31))))) (+ (* 1/2 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 11))))) (* (sqrt (/ 1 b_2)) (sqrt -1)))))))
(pow b_2 2)
(+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow b_2 2))
(+ (* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 6))) (* 1/2 (/ c (pow b_2 2))))) (pow b_2 2))
(+ (* a (+ (* 1/2 (/ c (pow b_2 2))) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 6))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 10))))))) (pow b_2 2))
(sqrt (* a c))
(* a (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 4)))))
(* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 8))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 4))))))
(* a (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 8))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (pow b_2 12))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 4)))))))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 6))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 12) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 6))) (* (sqrt (/ c a)) (pow (sqrt -1) 2))))))
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 12) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 18) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 6))) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))))
(pow b_2 2)
(+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow b_2 2))
(+ (* c (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 6))) (* 1/2 (/ a (pow b_2 2))))) (pow b_2 2))
(+ (* c (+ (* 1/2 (/ a (pow b_2 2))) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 6))) (* 1/16 (/ (* (pow a 3) c) (pow b_2 10))))))) (pow b_2 2))
(sqrt c)
(* c (+ (sqrt (/ 1 c)) (* 1/2 (* (pow b_2 4) (sqrt (/ 1 (pow c 3)))))))
(* c (+ (sqrt (/ 1 c)) (+ (* -1/8 (* (pow b_2 8) (sqrt (/ 1 (pow c 5))))) (* 1/2 (* (pow b_2 4) (sqrt (/ 1 (pow c 3))))))))
(* c (+ (sqrt (/ 1 c)) (+ (* -1/8 (* (pow b_2 8) (sqrt (/ 1 (pow c 5))))) (+ (* 1/16 (* (pow b_2 12) (sqrt (/ 1 (pow c 7))))) (* 1/2 (* (pow b_2 4) (sqrt (/ 1 (pow c 3)))))))))
(* -1 (* (sqrt c) (pow (sqrt -1) 2)))
(* -1 (* c (+ (* 1/2 (* (pow b_2 6) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1/8 (* (/ (pow b_2 12) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow c 5))))) (+ (* 1/2 (* (pow b_2 6) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2))))))
(* -1 (* c (+ (* -1/8 (* (/ (pow b_2 12) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow c 5))))) (+ (* 1/16 (* (/ (pow b_2 18) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow c 7))))) (+ (* 1/2 (* (pow b_2 6) (sqrt (/ 1 (pow c 3))))) (* (sqrt (/ 1 c)) (pow (sqrt -1) 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)
(/ (pow b_2 2) a)
(/ (pow b_2 2) a)
(/ (pow b_2 2) a)
(/ (pow b_2 2) a)
(/ (pow b_2 2) a)
(/ (pow b_2 2) a)
(/ (pow b_2 2) a)
(/ (pow b_2 2) a)
(/ (pow b_2 3) a)
(/ (pow b_2 3) a)
(/ (pow b_2 3) a)
(/ (pow b_2 3) a)
(/ (pow b_2 2) a)
(/ (pow b_2 2) a)
(/ (pow b_2 2) a)
(/ (pow b_2 2) a)
(/ (pow b_2 3) a)
(/ (pow b_2 3) a)
(/ (pow b_2 3) a)
(/ (pow b_2 3) a)
(* -1 (/ (pow b_2 3) a))
(* -1 (/ (pow b_2 3) a))
(* -1 (/ (pow b_2 3) a))
(* -1 (/ (pow b_2 3) a))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
b_2
b_2
b_2
b_2
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(pow b_2 2)
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(* -1 (/ b_2 a))
(/ -1 (* a b_2))
(/ -1 (* a b_2))
(/ -1 (* a b_2))
(/ -1 (* a b_2))
(/ -1 (* a b_2))
(/ -1 (* a b_2))
(/ -1 (* a b_2))
(/ -1 (* a b_2))
(/ -1 (* a b_2))
(/ -1 (* a b_2))
(/ -1 (* a b_2))
(/ -1 (* a b_2))
(/ -1 (* a b_2))
(/ -1 (* a b_2))
(/ -1 (* a b_2))
(/ -1 (* a b_2))
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ -1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(* a b_2)
(* a b_2)
(* a b_2)
(* a b_2)
a
a
a
a
a
a
a
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)
(sqrt (/ c a))
(+ (sqrt (/ c a)) (* -1 (/ b_2 a)))
(+ (sqrt (/ c a)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 3))) (/ 1 a))))
(+ (sqrt (/ c a)) (* b_2 (- (* (pow b_2 3) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 4))) (* 1/2 (sqrt (/ 1 (* (pow a 3) c)))))) (/ 1 a))))
(* (/ 1 a) (sqrt (pow b_2 5)))
(* (pow b_2 3) (- (* (/ 1 a) (sqrt (/ 1 b_2))) (/ 1 (* a (pow b_2 2)))))
(* (pow b_2 3) (- (+ (* 1/2 (* (sqrt (/ 1 (pow b_2 11))) c)) (* (/ 1 a) (sqrt (/ 1 b_2)))) (/ 1 (* a (pow b_2 2)))))
(* (pow b_2 3) (- (+ (* -1/8 (* (* a (pow c 2)) (sqrt (/ 1 (pow b_2 21))))) (+ (* 1/2 (* (sqrt (/ 1 (pow b_2 11))) c)) (* (/ 1 a) (sqrt (/ 1 b_2))))) (/ 1 (* a (pow b_2 2)))))
(* -1 (* (/ (sqrt -1) a) (sqrt (pow b_2 5))))
(* -1 (* (pow b_2 3) (+ (* (/ (sqrt -1) a) (sqrt (/ 1 b_2))) (/ 1 (* a (pow b_2 2))))))
(* -1 (* (pow b_2 3) (+ (* 1/2 (* (sqrt (/ 1 (pow b_2 11))) (* c (sqrt -1)))) (+ (* (/ (sqrt -1) a) (sqrt (/ 1 b_2))) (/ 1 (* a (pow b_2 2)))))))
(* -1 (* (pow b_2 3) (+ (* -1/8 (* (* a (* (pow c 2) (sqrt -1))) (sqrt (/ 1 (pow b_2 21))))) (+ (* 1/2 (* (sqrt (/ 1 (pow b_2 11))) (* c (sqrt -1)))) (+ (* (/ (sqrt -1) a) (sqrt (/ 1 b_2))) (/ 1 (* a (pow b_2 2))))))))
(/ (- (pow b_2 2) b_2) a)
(/ (- (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow b_2 2)) b_2) a)
(/ (- (+ (* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 6))) (* 1/2 (/ c (pow b_2 2))))) (pow b_2 2)) b_2) a)
(/ (- (+ (* a (+ (* 1/2 (/ c (pow b_2 2))) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 6))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 10))))))) (pow b_2 2)) b_2) a)
(sqrt (/ c a))
(+ (sqrt (/ c a)) (* -1 (/ b_2 a)))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 4)))))
(+ (sqrt (/ c a)) (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 8))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 4))))))
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 6)))) a)))
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 2))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (pow b_2 6))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 12) (pow (sqrt -1) 2))))) a))) a)))
(/ (- (pow b_2 2) b_2) a)
(- (+ (* 1/2 (/ c (pow b_2 2))) (/ (pow b_2 2) a)) (/ b_2 a))
(- (+ (* c (+ (* -1/8 (/ (* a c) (pow b_2 6))) (* 1/2 (/ 1 (pow b_2 2))))) (/ (pow b_2 2) a)) (/ b_2 a))
(- (+ (* c (+ (* c (+ (* -1/8 (/ a (pow b_2 6))) (* 1/16 (/ (* (pow a 2) c) (pow b_2 10))))) (* 1/2 (/ 1 (pow b_2 2))))) (/ (pow b_2 2) a)) (/ b_2 a))
(* (/ 1 a) (sqrt c))
(* c (+ (* -1 (/ b_2 (* a c))) (* (/ 1 a) (sqrt (/ 1 c)))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (/ (pow b_2 4) a) (sqrt (/ 1 (pow c 3))))) (* (/ 1 a) (sqrt (/ 1 c))))))
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (/ (pow b_2 8) a) (sqrt (/ 1 (pow c 5))))) (+ (* 1/2 (* (/ (pow b_2 4) a) (sqrt (/ 1 (pow c 3))))) (* (/ 1 a) (sqrt (/ 1 c)))))))
(* -1 (* (/ (pow (sqrt -1) 2) a) (sqrt c)))
(* -1 (* c (+ (* (/ (pow (sqrt -1) 2) a) (sqrt (/ 1 c))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (/ (pow b_2 6) a) (sqrt (/ 1 c))))) c)) (* (/ (pow (sqrt -1) 2) a) (sqrt (/ 1 c))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (/ (pow b_2 12) (* a (pow (sqrt -1) 2))) (sqrt (/ 1 c)))) (* 1/2 (* (/ (pow b_2 6) a) (sqrt c)))) c))) c)) (* (/ (pow (sqrt -1) 2) a) (sqrt (/ 1 c))))))
(sqrt (* a c))
(+ (sqrt (* a c)) (* -1 b_2))
(+ (sqrt (* a c)) (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 3))) 1)))
(+ (sqrt (* a c)) (* b_2 (- (* (pow b_2 3) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (pow b_2 4))) (* 1/2 (sqrt (/ 1 (* a c)))))) 1)))
(sqrt (pow b_2 5))
(* (pow b_2 3) (- (sqrt (/ 1 b_2)) (/ 1 (pow b_2 2))))
(* (pow b_2 3) (- (+ (sqrt (/ 1 b_2)) (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 11)))))) (/ 1 (pow b_2 2))))
(* (pow b_2 3) (- (+ (sqrt (/ 1 b_2)) (+ (* -1/8 (* (* (pow a 2) (pow c 2)) (sqrt (/ 1 (pow b_2 21))))) (* 1/2 (* (* a c) (sqrt (/ 1 (pow b_2 11))))))) (/ 1 (pow b_2 2))))
(* -1 (* (sqrt (pow b_2 5)) (sqrt -1)))
(* -1 (* (pow b_2 3) (+ (* (sqrt (/ 1 b_2)) (sqrt -1)) (/ 1 (pow b_2 2)))))
(* -1 (* (pow b_2 3) (+ (* 1/2 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 11))))) (+ (* (sqrt (/ 1 b_2)) (sqrt -1)) (/ 1 (pow b_2 2))))))
(* -1 (* (pow b_2 3) (+ (* -1/8 (* (* (pow a 2) (* (pow c 2) (sqrt -1))) (sqrt (/ 1 (pow b_2 21))))) (+ (* 1/2 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b_2 11))))) (+ (* (sqrt (/ 1 b_2)) (sqrt -1)) (/ 1 (pow b_2 2)))))))
(- (pow b_2 2) b_2)
(- (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow b_2 2)) b_2)
(- (+ (* a (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 6))) (* 1/2 (/ c (pow b_2 2))))) (pow b_2 2)) b_2)
(- (+ (* a (+ (* 1/2 (/ c (pow b_2 2))) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 6))) (* 1/16 (/ (* a (pow c 3)) (pow b_2 10))))))) (pow b_2 2)) b_2)
(sqrt (* a c))
(* a (+ (sqrt (/ c a)) (* -1 (/ b_2 a))))
(* a (- (+ (sqrt (/ c a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 4)))) (/ b_2 a)))
(* a (- (+ (sqrt (/ c a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (pow b_2 8))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (pow b_2 4))))) (/ b_2 a)))
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 2)))
(* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 2)) (/ b_2 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 6))) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 12) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ a c)) (pow b_2 6)))) a)) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(- (pow b_2 2) b_2)
(- (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow b_2 2)) b_2)
(- (+ (* c (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 6))) (* 1/2 (/ a (pow b_2 2))))) (pow b_2 2)) b_2)
(- (+ (* c (+ (* 1/2 (/ a (pow b_2 2))) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 6))) (* 1/16 (/ (* (pow a 3) c) (pow b_2 10))))))) (pow b_2 2)) b_2)
(sqrt c)
(* c (+ (sqrt (/ 1 c)) (* -1 (/ b_2 c))))
(* c (- (+ (sqrt (/ 1 c)) (* 1/2 (* (pow b_2 4) (sqrt (/ 1 (pow c 3)))))) (/ b_2 c)))
(* c (- (+ (sqrt (/ 1 c)) (+ (* -1/8 (* (pow b_2 8) (sqrt (/ 1 (pow c 5))))) (* 1/2 (* (pow b_2 4) (sqrt (/ 1 (pow c 3))))))) (/ b_2 c)))
(* -1 (* (sqrt c) (pow (sqrt -1) 2)))
(* -1 (* c (+ (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)) (/ b_2 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (pow b_2 6) (sqrt (/ 1 c)))) b_2) c)) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (/ (pow b_2 12) (pow (sqrt -1) 2)) (sqrt (/ 1 c)))) (* 1/2 (* (pow b_2 6) (sqrt c)))) c)) b_2) c)) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))
(* a c)
(+ (* a c) (pow b_2 4))
(+ (* a c) (pow b_2 4))
(+ (* a c) (pow b_2 4))
(pow b_2 5)
(* (pow b_2 5) (+ 1 (/ (* a c) (pow b_2 5))))
(* (pow b_2 5) (+ 1 (/ (* a c) (pow b_2 5))))
(* (pow b_2 5) (+ 1 (/ (* a c) (pow b_2 5))))
(* -1 (pow b_2 5))
(* -1 (* (pow b_2 5) (+ 1 (* -1 (/ (* a c) (pow b_2 5))))))
(* -1 (* (pow b_2 5) (+ 1 (* -1 (/ (* a c) (pow b_2 5))))))
(* -1 (* (pow b_2 5) (+ 1 (* -1 (/ (* a c) (pow b_2 5))))))
(pow b_2 4)
(+ (* a c) (pow b_2 4))
(+ (* a c) (pow b_2 4))
(+ (* a c) (pow b_2 4))
(* a c)
(* a (+ c (/ (pow b_2 4) a)))
(* a (+ c (/ (pow b_2 4) a)))
(* a (+ c (/ (pow b_2 4) a)))
(* a c)
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 6) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 6) a)))))
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 6) a)))))
(pow b_2 4)
(+ (* a c) (pow b_2 4))
(+ (* a c) (pow b_2 4))
(+ (* a c) (pow b_2 4))
c
(* c (+ 1 (/ (pow b_2 4) c)))
(* c (+ 1 (/ (pow b_2 4) c)))
(* c (+ 1 (/ (pow b_2 4) c)))
c
(* -1 (* c (- (* -1 (/ (pow b_2 6) c)) 1)))
(* -1 (* c (- (* -1 (/ (pow b_2 6) c)) 1)))
(* -1 (* c (- (* -1 (/ (pow b_2 6) c)) 1)))
(* a c)
(* a c)
(* a c)
(* a c)
a
a
a
a
a
a
a
a
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)

Outputs
(* -1 (/ c (+ b_2 (sqrt (pow b_2 5)))))
(/.f64 (neg.f64 c) (+.f64 b_2 (sqrt.f64 (pow.f64 b_2 #s(literal 5 binary64)))))
(* c (- (* 1/2 (* (/ (* a c) (pow (+ b_2 (sqrt (pow b_2 5))) 2)) (sqrt (/ 1 (pow b_2 5))))) (/ 1 (+ b_2 (sqrt (pow b_2 5))))))
(.f64 c (fma.f64 (/.f64 (.f64 c a) (pow.f64 (+.f64 b_2 (sqrt.f64 (pow.f64 b_2 #s(literal 5 binary64)))) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b_2 #s(literal 5 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 b_2 (sqrt.f64 (pow.f64 b_2 #s(literal 5 binary64)))))))
(* c (- (* c (+ (* 1/2 (* (/ a (pow (+ b_2 (sqrt (pow b_2 5))) 2)) (sqrt (/ 1 (pow b_2 5))))) (* c (+ (* -1/4 (/ (pow a 2) (* (pow b_2 5) (pow (+ b_2 (sqrt (pow b_2 5))) 3)))) (* -1/8 (* (/ (pow a 2) (pow (+ b_2 (sqrt (pow b_2 5))) 2)) (sqrt (/ 1 (pow b_2 15))))))))) (/ 1 (+ b_2 (sqrt (pow b_2 5))))))
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(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (pow b_2 6))) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(.f64 (-.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 b_2 #s(literal 6 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (neg.f64 b_2)) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 12) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ a c)) (pow b_2 6)))) a)) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 2)))))
(neg.f64 (.f64 a (-.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c (.f64 c a))))) (pow.f64 b_2 #s(literal 12 binary64))) #s(literal -1 binary64)) (.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (pow.f64 b_2 #s(literal 6 binary64)) #s(literal 1/2 binary64)))) (neg.f64 a)) b_2) a))))
(- (pow b_2 2) b_2)
(-.f64 (*.f64 b_2 b_2) b_2)
(- (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow b_2 2)) b_2)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 c a) (.f64 b_2 b_2)) (-.f64 (*.f64 b_2 b_2) b_2))
(- (+ (* c (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 6))) (* 1/2 (/ a (pow b_2 2))))) (pow b_2 2)) b_2)
(fma.f64 c (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) (/.f64 c (pow.f64 b_2 #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 b_2 b_2)))) (-.f64 (*.f64 b_2 b_2) b_2))
(- (+ (* c (+ (* 1/2 (/ a (pow b_2 2))) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 6))) (* 1/16 (/ (* (pow a 3) c) (pow b_2 10))))))) (pow b_2 2)) b_2)
(fma.f64 c (fma.f64 c (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 a a) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 c (.f64 a (.f64 a a)))) (pow.f64 b_2 #s(literal 10 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 b_2 b_2)))) (-.f64 (.f64 b_2 b_2) b_2))
(sqrt c)
(sqrt.f64 c)
(* c (+ (sqrt (/ 1 c)) (* -1 (/ b_2 c))))
(*.f64 c (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) c)) (/.f64 b_2 c)))
(* c (- (+ (sqrt (/ 1 c)) (* 1/2 (* (pow b_2 4) (sqrt (/ 1 (pow c 3)))))) (/ b_2 c)))
(.f64 c (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c c)))) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) c))) (/.f64 b_2 c)))
(* c (- (+ (sqrt (/ 1 c)) (+ (* -1/8 (* (pow b_2 8) (sqrt (/ 1 (pow c 5))))) (* 1/2 (* (pow b_2 4) (sqrt (/ 1 (pow c 3))))))) (/ b_2 c)))
(.f64 c (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 c c)))) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (pow.f64 b_2 #s(literal 8 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) c)))) (/.f64 b_2 c)))
(* -1 (* (sqrt c) (pow (sqrt -1) 2)))
(sqrt.f64 c)
(* -1 (* c (+ (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)) (/ b_2 c))))
(*.f64 (neg.f64 c) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) c)) (/.f64 b_2 c)))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (pow b_2 6) (sqrt (/ 1 c)))) b_2) c)) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))
(.f64 (neg.f64 c) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) c)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) c)) (.f64 (pow.f64 b_2 #s(literal 6 binary64)) #s(literal -1/2 binary64)) (neg.f64 b_2)) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (/ (pow b_2 12) (pow (sqrt -1) 2)) (sqrt (/ 1 c)))) (* 1/2 (* (pow b_2 6) (sqrt c)))) c)) b_2) c)) (* (sqrt (/ 1 c)) (pow (sqrt -1) 2)))))
(.f64 (neg.f64 c) (-.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) c))) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 b_2 #s(literal 6 binary64)) (sqrt.f64 c)) (.f64 (/.f64 (pow.f64 b_2 #s(literal 12 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) c)) #s(literal -1/8 binary64)))) (neg.f64 c)) b_2) c)))
(* a c)
(*.f64 c a)
(+ (* a c) (pow b_2 4))
(fma.f64 c a (pow.f64 b_2 #s(literal 4 binary64)))
(+ (* a c) (pow b_2 4))
(fma.f64 c a (pow.f64 b_2 #s(literal 4 binary64)))
(+ (* a c) (pow b_2 4))
(fma.f64 c a (pow.f64 b_2 #s(literal 4 binary64)))
(pow b_2 5)
(pow.f64 b_2 #s(literal 5 binary64))
(* (pow b_2 5) (+ 1 (/ (* a c) (pow b_2 5))))
(*.f64 (pow.f64 b_2 #s(literal 5 binary64)) (fma.f64 a (/.f64 c (pow.f64 b_2 #s(literal 5 binary64))) #s(literal 1 binary64)))
(* (pow b_2 5) (+ 1 (/ (* a c) (pow b_2 5))))
(*.f64 (pow.f64 b_2 #s(literal 5 binary64)) (fma.f64 a (/.f64 c (pow.f64 b_2 #s(literal 5 binary64))) #s(literal 1 binary64)))
(* (pow b_2 5) (+ 1 (/ (* a c) (pow b_2 5))))
(*.f64 (pow.f64 b_2 #s(literal 5 binary64)) (fma.f64 a (/.f64 c (pow.f64 b_2 #s(literal 5 binary64))) #s(literal 1 binary64)))
(* -1 (pow b_2 5))
(neg.f64 (pow.f64 b_2 #s(literal 5 binary64)))
(* -1 (* (pow b_2 5) (+ 1 (* -1 (/ (* a c) (pow b_2 5))))))
(.f64 (neg.f64 (pow.f64 b_2 #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (pow.f64 b_2 #s(literal 5 binary64))))))
(* -1 (* (pow b_2 5) (+ 1 (* -1 (/ (* a c) (pow b_2 5))))))
(.f64 (neg.f64 (pow.f64 b_2 #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (pow.f64 b_2 #s(literal 5 binary64))))))
(* -1 (* (pow b_2 5) (+ 1 (* -1 (/ (* a c) (pow b_2 5))))))
(.f64 (neg.f64 (pow.f64 b_2 #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (pow.f64 b_2 #s(literal 5 binary64))))))
(pow b_2 4)
(pow.f64 b_2 #s(literal 4 binary64))
(+ (* a c) (pow b_2 4))
(fma.f64 c a (pow.f64 b_2 #s(literal 4 binary64)))
(+ (* a c) (pow b_2 4))
(fma.f64 c a (pow.f64 b_2 #s(literal 4 binary64)))
(+ (* a c) (pow b_2 4))
(fma.f64 c a (pow.f64 b_2 #s(literal 4 binary64)))
(* a c)
(*.f64 c a)
(* a (+ c (/ (pow b_2 4) a)))
(*.f64 a (+.f64 c (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) a)))
(* a (+ c (/ (pow b_2 4) a)))
(*.f64 a (+.f64 c (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) a)))
(* a (+ c (/ (pow b_2 4) a)))
(*.f64 a (+.f64 c (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) a)))
(* a c)
(*.f64 c a)
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 6) a)))))
(*.f64 (-.f64 (neg.f64 c) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 6) a)))))
(*.f64 (-.f64 (neg.f64 c) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 6) a)))))
(*.f64 (-.f64 (neg.f64 c) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) a)) (neg.f64 a))
(pow b_2 4)
(pow.f64 b_2 #s(literal 4 binary64))
(+ (* a c) (pow b_2 4))
(fma.f64 c a (pow.f64 b_2 #s(literal 4 binary64)))
(+ (* a c) (pow b_2 4))
(fma.f64 c a (pow.f64 b_2 #s(literal 4 binary64)))
(+ (* a c) (pow b_2 4))
(fma.f64 c a (pow.f64 b_2 #s(literal 4 binary64)))
c
(* c (+ 1 (/ (pow b_2 4) c)))
(fma.f64 c (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) c) c)
(* c (+ 1 (/ (pow b_2 4) c)))
(fma.f64 c (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) c) c)
(* c (+ 1 (/ (pow b_2 4) c)))
(fma.f64 c (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) c) c)
c
(* -1 (* c (- (* -1 (/ (pow b_2 6) c)) 1)))
(neg.f64 (fma.f64 c (neg.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) c)) (neg.f64 c)))
(* -1 (* c (- (* -1 (/ (pow b_2 6) c)) 1)))
(neg.f64 (fma.f64 c (neg.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) c)) (neg.f64 c)))
(* -1 (* c (- (* -1 (/ (pow b_2 6) c)) 1)))
(neg.f64 (fma.f64 c (neg.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) c)) (neg.f64 c)))
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
a
a
a
a
a
a
a
a
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)
(* a c)
(*.f64 c a)

eval210.0ms (1.9%)

Memory: -30.0MiB live, 278.8MiB allocated
Compiler: Compiled 38 349 to 3 466 computations (91% saved)

prune227.0ms (2.1%)

Memory

4.4MiB live, 497.0MiB allocated

Pruning

64 alts after pruning (58 fresh and 6 done)

	Pruned	Kept	Total
New	1 436	36	1 472
Fresh	16	22	38
Picked	1	4	5
Done	1	2	3
Total	1 454	64	1 518

Accuracy

77.4%

Counts

1 518 → 64

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.7%	(/.f64 (/.f64 (*.f64 c (neg.f64 a)) (fma.f64 b_2 b_2 b_2)) a)
	14.0%	(/.f64 (/.f64 (*.f64 b_2 b_2) a) (neg.f64 b_2))
	28.1%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2))) a)
	34.6%	(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1/4 binary64)) b_2) a)
	16.5%	(/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 a b_2)) a) (*.f64 a (/.f64 a b_2)))
	13.4%	(/.f64 (-.f64 (*.f64 b_2 b_2) b_2) a)
✓	28.1%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) b_2) a)
	9.7%	(/.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2) a)
	49.1%	(/.f64 (-.f64 (sqrt.f64 (fabs.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a)
	2.2%	(/.f64 (-.f64 (sqrt.f64 c) (/.f64 b_2 #s(literal -1 binary64))) a)
	7.9%	(/.f64 (-.f64 (sqrt.f64 c) b_2) a)
	24.7%	(/.f64 (-.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c a (.f64 b_2 b_2))))) b_2) a)
	3.9%	(/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) a)
	0.6%	(/.f64 (-.f64 b_2 (sqrt.f64 (*.f64 c a))) a)
	1.0%	(/.f64 (-.f64 b_2 (sqrt.f64 c)) a)
	24.1%	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (fma.f64 b_2 b_2 (.f64 a c)))))) a)
✓	50.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	12.3%	(/.f64 (+.f64 (exp.f64 (.f64 (log.f64 b_2) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) a)
	14.8%	(/.f64 (*.f64 b_2 (/.f64 b_2 (neg.f64 a))) b_2)
	5.2%	(/.f64 (*.f64 b_2 b_2) (neg.f64 b_2))
✓	12.6%	(/.f64 (*.f64 b_2 b_2) a)
	4.8%	(/.f64 (sqrt.f64 c) a)
	6.6%	(/.f64 (neg.f64 (sqrt.f64 (*.f64 a c))) a)
	1.9%	(/.f64 (neg.f64 (sqrt.f64 c)) a)
	16.1%	(/.f64 (neg.f64 c) (fma.f64 b_2 b_2 b_2))
✓	31.5%	(/.f64 (neg.f64 c) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))
	11.7%	(/.f64 (neg.f64 c) (+.f64 b_2 (sqrt.f64 (*.f64 c a))))
▶	52.6%	(/.f64 (neg.f64 c) (+.f64 b_2 (sqrt.f64 (fabs.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
	10.2%	(/.f64 (neg.f64 c) (+.f64 b_2 (sqrt.f64 c)))
	2.6%	(/.f64 (neg.f64 c) (sqrt.f64 c))
	16.0%	(/.f64 (neg.f64 b_2) a)
	14.7%	(/.f64 c (.f64 b_2 (.f64 b_2 b_2)))
▶	1.9%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (neg.f64 (.f64 b_2 (.f64 b_2 b_2)))))
	14.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b_2 a) (neg.f64 (.f64 b_2 b_2))))
	14.8%	(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 b_2 (/.f64 b_2 (neg.f64 a)))))
	28.0%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) a))
	16.0%	(/.f64 #s(literal -1 binary64) (/.f64 a b_2))
	14.2%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 a (.f64 b_2 b_2)) b_2))
	0.9%	(-.f64 (/.f64 b_2 a) (sqrt.f64 (/.f64 c a)))
	12.2%	(+.f64 b_2 (/.f64 (*.f64 b_2 b_2) a))
	14.4%	(.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)) #s(literal -1/2 binary64)))
	16.6%	(.f64 (/.f64 b_2 (.f64 b_2 (neg.f64 a))) b_2)
	12.6%	(*.f64 (/.f64 b_2 a) b_2)
	14.8%	(.f64 (/.f64 #s(literal 1 binary64) b_2) (.f64 b_2 (/.f64 b_2 (neg.f64 a))))
	16.0%	(*.f64 (/.f64 #s(literal -1 binary64) a) b_2)
	5.6%	(.f64 (.f64 (pow.f64 a #s(literal -1/2 binary64)) b_2) (*.f64 (pow.f64 a #s(literal -1/2 binary64)) b_2))
	14.1%	(.f64 (.f64 b_2 b_2) (/.f64 (/.f64 #s(literal -1 binary64) b_2) a))
	14.1%	(.f64 (.f64 b_2 b_2) (/.f64 (/.f64 #s(literal -1 binary64) a) b_2))
✓	14.0%	(.f64 (.f64 b_2 b_2) (/.f64 #s(literal -1 binary64) (*.f64 a b_2)))
	4.7%	(.f64 (.f64 b_2 b_2) #s(literal 0 binary64))
	22.5%	(.f64 (.f64 a (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) (/.f64 #s(literal 1 binary64) (.f64 a a)))
	5.2%	(.f64 (neg.f64 (.f64 b_2 b_2)) (/.f64 #s(literal 1 binary64) b_2))
	16.6%	(.f64 (neg.f64 b_2) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 b_2 a)) b_2))
	31.5%	(.f64 c (/.f64 #s(literal -1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))))))
▶	13.4%	(*.f64 b_2 (-.f64 (/.f64 b_2 a) (/.f64 #s(literal 1 binary64) a)))
	3.2%	(sqrt.f64 (/.f64 c a))
▶	1.3%	(sqrt.f64 c)
▶	12.2%	(neg.f64 (/.f64 (.f64 b_2 (.f64 b_2 b_2)) a))
	2.6%	(neg.f64 (sqrt.f64 c))
✓	3.2%	(neg.f64 b_2)
	0.8%	(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 b_2) (neg.f64 (log.f64 a))))
	16.0%	(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2)))) c)) #s(literal -1 binary64)))
	12.9%	(exp.f64 (.f64 (log.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2))) #s(literal -1 binary64)))
	6.7%	(exp.f64 (.f64 (log.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))))) #s(literal -1 binary64)))

Compiler

Compiled 1 540 to 982 computations (36.2% saved)

simplify362.0ms (3.3%)

Memory

-0.2MiB live, 411.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 (.f64 b_2 (.f64 b_2 b_2)))
✓	cost-diff	64	(fma.f64 b_2 b_2 #s(literal 0 binary64))
✓	cost-diff	1088	(/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (neg.f64 (.f64 b_2 (.f64 b_2 b_2))))
✓	cost-diff	1280	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (neg.f64 (.f64 b_2 (.f64 b_2 b_2)))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) a)
✓	cost-diff	0	(/.f64 b_2 a)
✓	cost-diff	320	(*.f64 b_2 (-.f64 (/.f64 b_2 a) (/.f64 #s(literal 1 binary64) a)))
✓	cost-diff	384	(-.f64 (/.f64 b_2 a) (/.f64 #s(literal 1 binary64) a))
✓	cost-diff	0	(*.f64 b_2 b_2)
✓	cost-diff	0	(.f64 b_2 (.f64 b_2 b_2))
✓	cost-diff	0	(/.f64 (.f64 b_2 (.f64 b_2 b_2)) a)
✓	cost-diff	0	(neg.f64 (/.f64 (.f64 b_2 (.f64 b_2 b_2)) a))
✓	cost-diff	0	(sqrt.f64 c)
✓	cost-diff	0	(sqrt.f64 (fabs.f64 (fma.f64 c a (*.f64 b_2 b_2))))
✓	cost-diff	0	(+.f64 b_2 (sqrt.f64 (fabs.f64 (fma.f64 c a (*.f64 b_2 b_2)))))
✓	cost-diff	0	(neg.f64 c)
✓	cost-diff	0	(/.f64 (neg.f64 c) (+.f64 b_2 (sqrt.f64 (fabs.f64 (fma.f64 c a (*.f64 b_2 b_2))))))

Rules

9 288×	`lower-fma.f32`
9 284×	`lower-fma.f64`
4 256×	`lower-*.f32`
4 250×	`lower-*.f64`
1 946×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	150
0	44	133
1	80	133
2	193	122
3	567	120
4	1240	118
5	2840	118
6	5217	118
0	8031	118

Stop Event

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

Calls

Call 1

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

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

localize168.0ms (1.5%)

Memory

7.6MiB live, 164.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	51.8%	(*.f64 b_2 b_2)
✓	accuracy	51.2%	(.f64 b_2 (.f64 b_2 b_2))
✓	accuracy	51.2%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (neg.f64 (.f64 b_2 (.f64 b_2 b_2)))))
✓	accuracy	50.8%	(/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (neg.f64 (.f64 b_2 (.f64 b_2 b_2))))
✓	accuracy	99.9%	(*.f64 b_2 (-.f64 (/.f64 b_2 a) (/.f64 #s(literal 1 binary64) a)))
✓	accuracy	56.3%	(/.f64 b_2 a)
✓	accuracy	50.9%	(/.f64 #s(literal 1 binary64) a)
✓	accuracy	50.7%	(-.f64 (/.f64 b_2 a) (/.f64 #s(literal 1 binary64) a))
✓	accuracy	61.7%	(/.f64 (.f64 b_2 (.f64 b_2 b_2)) a)
✓	accuracy	61.7%	(neg.f64 (/.f64 (.f64 b_2 (.f64 b_2 b_2)) a))
✓	accuracy	51.8%	(*.f64 b_2 b_2)
✓	accuracy	51.2%	(.f64 b_2 (.f64 b_2 b_2))
✓	accuracy	100.0%	(sqrt.f64 c)
✓	accuracy	52.3%	(fma.f64 c a (*.f64 b_2 b_2))
✓	accuracy	51.8%	(*.f64 b_2 b_2)
✓	accuracy	51.3%	(+.f64 b_2 (sqrt.f64 (fabs.f64 (fma.f64 c a (*.f64 b_2 b_2)))))
✓	accuracy	50.9%	(neg.f64 c)

Samples

44.0ms	20×	2	valid
32.0ms	88×	0	valid
22.0ms	127×	0	invalid
5.0ms	17×	1	valid
2.0ms	4×	3	valid

Compiler

Compiled 313 to 51 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-neg: 39.0ms (45.3% of total)

ival-div: 26.0ms (30.2% of total)

ival-mult: 6.0ms (7% of total)

ival-add: 4.0ms (4.6% of total)

ival-sqrt: 4.0ms (4.6% of total)

adjust: 2.0ms (2.3% of total)

ival-fabs: 1.0ms (1.2% of total)

ival-sub: 1.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series109.0ms (1%)

Memory

-29.1MiB live, 41.4MiB allocated

Counts

18 → 372

Calls

Call 1

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

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

Calls

93 calls:

Time	Variable		Point	Expression
65.0ms	b_2	@	0	(* b_2 b_2)
11.0ms	b_2	@	0	(/ (neg c) (+ b_2 (sqrt (fabs (+ (* c a) (* b_2 b_2))))))
1.0ms	c	@	inf	(/ (neg c) (+ b_2 (sqrt (fabs (+ (* c a) (* b_2 b_2))))))
1.0ms	c	@	-inf	(/ (neg c) (+ b_2 (sqrt (fabs (+ (* c a) (* b_2 b_2))))))
1.0ms	c	@	0	(/ (neg c) (+ b_2 (sqrt (fabs (+ (* c a) (* b_2 b_2))))))

Compiler

Compiled 918 to 667 computations (27.3% saved)

rewrite463.0ms (4.2%)

Memory

-1.5MiB live, 351.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 030×	`lower-fma.f32`
6 026×	`lower-fma.f64`
4 786×	`lower-/.f32`
4 774×	`lower-/.f64`
4 014×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	120
0	44	101
1	175	92
2	1426	88
0	8344	88

Stop Event

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

Counts

18 → 1 097

Calls

Call 1

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

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

simplify391.0ms (3.5%)

Memory

28.8MiB live, 463.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 506×	`lower-fma.f64`
9 506×	`lower-fma.f32`
3 590×	`lower-*.f64`
3 590×	`lower-*.f32`
2 670×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	159	2557
1	426	2536
2	1133	2504
3	3374	2448
4	6592	2448
0	8140	2307

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 352

Calls

Call 1

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

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

eval255.0ms (2.3%)

Memory: -18.0MiB live, 458.9MiB allocated
Compiler: Compiled 33 389 to 4 532 computations (86.4% saved)

prune373.0ms (3.4%)

Memory

-1.7MiB live, 721.2MiB allocated

Pruning

67 alts after pruning (59 fresh and 8 done)

	Pruned	Kept	Total
New	1 713	19	1 732
Fresh	13	40	53
Picked	2	3	5
Done	1	5	6
Total	1 729	67	1 796

Accuracy

77.8%

Counts

1 796 → 67

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.4%	(pow.f64 (*.f64 c c) #s(literal 1/4 binary64))
	15.7%	(/.f64 (/.f64 (*.f64 c (neg.f64 a)) (fma.f64 b_2 b_2 b_2)) a)
	14.0%	(/.f64 (/.f64 (*.f64 b_2 b_2) a) (neg.f64 b_2))
	13.4%	(/.f64 (-.f64 (*.f64 b_2 b_2) b_2) a)
✓	28.1%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) b_2) a)
	9.7%	(/.f64 (-.f64 (sqrt.f64 (*.f64 c a)) b_2) a)
	49.1%	(/.f64 (-.f64 (sqrt.f64 (fabs.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a)
	2.2%	(/.f64 (-.f64 (sqrt.f64 c) (/.f64 b_2 #s(literal -1 binary64))) a)
	7.9%	(/.f64 (-.f64 (sqrt.f64 c) b_2) a)
	24.7%	(/.f64 (-.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c a (.f64 b_2 b_2))))) b_2) a)
	3.9%	(/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) a)
	0.6%	(/.f64 (-.f64 b_2 (sqrt.f64 (*.f64 c a))) a)
	1.0%	(/.f64 (-.f64 b_2 (sqrt.f64 c)) a)
	24.1%	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (fma.f64 b_2 b_2 (.f64 a c)))))) a)
✓	50.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	12.3%	(/.f64 (+.f64 (exp.f64 (.f64 (log.f64 b_2) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c)))) a)
	12.4%	(/.f64 (.f64 (fma.f64 b_2 a (neg.f64 a)) b_2) (.f64 a a))
	14.8%	(/.f64 (*.f64 b_2 (/.f64 b_2 (neg.f64 a))) b_2)
	5.2%	(/.f64 (*.f64 b_2 b_2) (neg.f64 b_2))
	4.8%	(/.f64 (sqrt.f64 c) a)
	16.1%	(/.f64 (neg.f64 c) (fma.f64 b_2 b_2 b_2))
	52.5%	(/.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fabs.f64 (fma.f64 c a (*.f64 b_2 b_2))))))))
✓	31.5%	(/.f64 (neg.f64 c) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))
	11.7%	(/.f64 (neg.f64 c) (+.f64 b_2 (sqrt.f64 (*.f64 c a))))
	16.6%	(/.f64 (neg.f64 c) (+.f64 b_2 (sqrt.f64 (fabs.f64 (+.f64 c (pow.f64 b_2 #s(literal 4 binary64)))))))
	38.9%	(/.f64 (neg.f64 c) (+.f64 b_2 (sqrt.f64 (fabs.f64 (*.f64 c a)))))
	10.2%	(/.f64 (neg.f64 c) (+.f64 b_2 (sqrt.f64 c)))
	2.6%	(/.f64 (neg.f64 c) (sqrt.f64 c))
	16.0%	(/.f64 (neg.f64 b_2) a)
	14.7%	(/.f64 c (.f64 b_2 (.f64 b_2 b_2)))
	18.9%	(/.f64 c (neg.f64 b_2))
	0.4%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (.f64 (/.f64 (neg.f64 b_2) (.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) (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2))))))))
	0.7%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (neg.f64 (pow.f64 (exp.f64 (log.f64 b_2)) #s(literal 3 binary64)))))
	0.7%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (neg.f64 (exp.f64 (*.f64 (log.f64 b_2) #s(literal 3 binary64))))))
	12.6%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (neg.f64 b_2)))
	1.3%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (exp.f64 (*.f64 (log.f64 (neg.f64 b_2)) #s(literal 3 binary64)))))
	1.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))) (/.f64 (.f64 b_2 (.f64 b_2 b_2)) (/.f64 #s(literal 1 binary64) (.f64 b_2 b_2)))) (neg.f64 (.f64 b_2 (*.f64 b_2 b_2)))))
	14.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b_2 a) (neg.f64 (.f64 b_2 b_2))))
	14.8%	(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 b_2 (/.f64 b_2 (neg.f64 a)))))
	3.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b_2))
	16.0%	(/.f64 #s(literal -1 binary64) (/.f64 a b_2))
	14.2%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 a (.f64 b_2 b_2)) b_2))
	12.2%	(+.f64 b_2 (/.f64 (*.f64 b_2 b_2) a))
	21.8%	(.f64 (/.f64 (neg.f64 c) (-.f64 (.f64 b_2 b_2) (fabs.f64 (fma.f64 c a (.f64 b_2 b_2))))) (-.f64 b_2 (sqrt.f64 (fabs.f64 (fma.f64 c a (.f64 b_2 b_2))))))
	16.6%	(.f64 (/.f64 b_2 (.f64 b_2 (neg.f64 a))) b_2)
	12.6%	(*.f64 (/.f64 b_2 a) b_2)
	14.8%	(.f64 (/.f64 #s(literal 1 binary64) b_2) (.f64 b_2 (/.f64 b_2 (neg.f64 a))))
	5.2%	(.f64 (/.f64 #s(literal 1 binary64) b_2) (.f64 b_2 (neg.f64 b_2)))
	16.0%	(*.f64 (/.f64 #s(literal -1 binary64) a) b_2)
	14.1%	(.f64 (.f64 b_2 b_2) (/.f64 (/.f64 #s(literal -1 binary64) b_2) a))
	14.1%	(.f64 (.f64 b_2 b_2) (/.f64 (/.f64 #s(literal -1 binary64) a) b_2))
✓	14.0%	(.f64 (.f64 b_2 b_2) (/.f64 #s(literal -1 binary64) (*.f64 a b_2)))
	4.7%	(.f64 (.f64 b_2 b_2) #s(literal 0 binary64))
	37.4%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (fma.f64 c a (.f64 b_2 b_2))))) (neg.f64 c))
	16.6%	(.f64 (neg.f64 b_2) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 b_2 a)) b_2))
	31.5%	(.f64 c (/.f64 #s(literal -1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))))))
	13.5%	(.f64 b_2 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 a b_2) a) (.f64 a (/.f64 a b_2))))
	1.6%	(.f64 b_2 (/.f64 (/.f64 (-.f64 (.f64 b_2 (.f64 b_2 b_2)) #s(literal 1 binary64)) (.f64 a (.f64 a a))) (fma.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 #s(literal 1 binary64))) (/.f64 (.f64 b_2 b_2) (.f64 a a)))))
✓	13.4%	(*.f64 b_2 (-.f64 (/.f64 b_2 a) (/.f64 #s(literal 1 binary64) a)))
	12.6%	(.f64 b_2 (.f64 (fma.f64 b_2 a (neg.f64 a)) (/.f64 #s(literal 1 binary64) (*.f64 a a))))
✓	1.3%	(sqrt.f64 c)
✓	12.2%	(neg.f64 (/.f64 (.f64 b_2 (.f64 b_2 b_2)) a))
	2.6%	(neg.f64 (sqrt.f64 c))
✓	3.2%	(neg.f64 b_2)
	16.0%	(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2)))) c)) #s(literal -1 binary64)))
	12.9%	(exp.f64 (.f64 (log.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2))) #s(literal -1 binary64)))
	6.7%	(exp.f64 (.f64 (log.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c)))))) #s(literal -1 binary64)))

Compiler

Compiled 2 617 to 948 computations (63.8% saved)

regimes151.0ms (1.4%)

Memory

27.9MiB live, 381.6MiB allocated

Counts

127 → 2

Calls

Call 1

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

Calls

4 calls:

37.0ms	c
36.0ms	a
36.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
36.0ms	b_2

Results

Accuracy	Segments	Branch
56.7%	2	`a`
74.8%	2	`b_2`
54.5%	2	`c`
66.6%	4	`(/.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)

regimes24.0ms (0.2%)

Memory

-22.3MiB live, 58.8MiB allocated

Counts

68 → 2

Calls

Call 1

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

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

Calls

1 calls:

20.0ms

b_2

Results

Accuracy	Segments	Branch
74.0%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes22.0ms (0.2%)

Memory

21.1MiB live, 59.6MiB allocated

Counts

67 → 2

Calls

Call 1

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

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

Calls

1 calls:

19.0ms

b_2

Results

Accuracy	Segments	Branch
71.8%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes24.0ms (0.2%)

Memory

-31.7MiB live, 58.8MiB allocated

Counts

66 → 3

Calls

Call 1

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

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

Calls

1 calls:

19.0ms

b_2

Results

Accuracy	Segments	Branch
67.5%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes40.0ms (0.4%)

Memory

29.9MiB live, 103.3MiB allocated

Counts

63 → 2

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	b_2
18.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
41.1%	2	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
57.8%	2	`b_2`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes68.0ms (0.6%)

Memory

16.3MiB live, 164.8MiB allocated

Counts

61 → 2

Calls

Call 1

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

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

Calls

3 calls:

27.0ms	a
19.0ms	b_2
19.0ms	c

Results

Accuracy	Segments	Branch
38.9%	1	`c`
38.9%	1	`a`
50.7%	2	`b_2`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes80.0ms (0.7%)

Memory

15.4MiB live, 157.0MiB allocated

Counts

52 → 2

Calls

Call 1

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

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

Calls

4 calls:

23.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
20.0ms	a
17.0ms	b_2
16.0ms	c

Results

Accuracy	Segments	Branch
22.3%	3	`a`
22.9%	3	`c`
20.4%	2	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
32.3%	2	`b_2`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes12.0ms (0.1%)

Memory

-8.1MiB live, 29.5MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
18.9%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
18.9%	1	`a`
18.9%	1	`c`
18.9%	1	`b_2`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes20.0ms (0.2%)

Memory

-18.7MiB live, 24.8MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
(neg.f64 b_2)
(sqrt.f64 c)
(.f64 (.f64 b_2 b_2) #s(literal 0 binary64))
(neg.f64 (sqrt.f64 c))

Outputs
(.f64 (.f64 b_2 b_2) #s(literal 0 binary64))

Calls

4 calls:

13.0ms	b_2
2.0ms	c
2.0ms	a
2.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
4.7%	1	`c`
4.7%	1	`b_2`
4.7%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
4.7%	1	`a`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes7.0ms (0.1%)

Memory

20.9MiB live, 20.9MiB allocated

Accuracy

Total -1.4b remaining (-2.2%)

Threshold costs -1.4b (-2.2%)

Counts

2 → 1

Calls

Call 1

Inputs
(neg.f64 b_2)
(sqrt.f64 c)

Outputs
(neg.f64 b_2)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
3.2%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
3.2%	1	`a`
3.2%	1	`b_2`
3.2%	1	`c`

Compiler

Compiled 28 to 19 computations (32.1% saved)

bsearch26.0ms (0.2%)

Memory

-15.6MiB live, 63.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	-5.877563108031289e-287	-3.7131359740530875e-294

Samples

9.0ms	144×	0	valid
5.0ms	68×	0	invalid

Compiler

Compiled 325 to 214 computations (34.2% saved)

Precisions

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

ival-mult: 3.0ms (31.6% of total)

ival-neg: 2.0ms (21.1% of total)

ival-sub: 1.0ms (10.5% of total)

ival-div: 1.0ms (10.5% of total)

ival-add: 1.0ms (10.5% of total)

ival-sqrt: 1.0ms (10.5% of total)

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

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

bsearch1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-5.877563108031289e-287	-3.7131359740530875e-294

Compiler

Compiled 316 to 205 computations (35.1% saved)

bsearch33.0ms (0.3%)

Memory

11.1MiB live, 50.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	7.772454040047044e-44	6.609176739030259e-40

Samples

6.0ms	36×	2	valid
4.0ms	36×	1	valid
4.0ms	56×	0	valid
1.0ms	19×	0	invalid

Compiler

Compiled 275 to 176 computations (36% saved)

Precisions

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

adjust: 2.0ms (18.6% of total)

ival-div: 2.0ms (18.6% of total)

ival-mult: 2.0ms (18.6% of total)

ival-sqrt: 2.0ms (18.6% of total)

ival-add: 1.0ms (9.3% of total)

ival-sub: 1.0ms (9.3% of total)

ival-neg: 1.0ms (9.3% of total)

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

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

bsearch51.0ms (0.5%)

Memory

-50.3MiB live, 56.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	7.772454040047044e-44	6.609176739030259e-40
44.0ms	-8.387278978063201e-63	-4.969336141304009e-69

Samples

10.0ms	149×	0	valid
2.0ms	31×	0	invalid
1.0ms	7×	1	valid
1.0ms	4×	2	valid

Compiler

Compiled 520 to 347 computations (33.3% saved)

Precisions

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

ival-mult: 2.0ms (23.1% of total)

ival-sqrt: 2.0ms (23.1% of total)

ival-div: 1.0ms (11.5% of total)

ival-add: 1.0ms (11.5% of total)

ival-sub: 1.0ms (11.5% of total)

ival-neg: 1.0ms (11.5% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch1.0ms (0%)

Memory

3.2MiB live, 3.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-8.387278978063201e-63	-4.969336141304009e-69

Compiler

Compiled 280 to 187 computations (33.2% saved)

bsearch22.0ms (0.2%)

Memory

11.6MiB live, 49.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	-2.346276478038835e+40	-5.0037479669847453e+30

Samples

11.0ms	160×	0	valid
1.0ms	15×	0	invalid

Compiler

Compiled 239 to 176 computations (26.4% saved)

Precisions

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

ival-mult: 2.0ms (26.9% of total)

ival-sub: 1.0ms (13.4% of total)

ival-div: 1.0ms (13.4% of total)

ival-add: 1.0ms (13.4% of total)

ival-sqrt: 1.0ms (13.4% of total)

ival-neg: 1.0ms (13.4% of total)

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

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

bsearch29.0ms (0.3%)

Memory

20.5MiB live, 58.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	-5.688864769086942e-300	1.2222732029644471e-306

Samples

13.0ms	160×	0	valid
5.0ms	71×	0	invalid

Compiler

Compiled 179 to 136 computations (24% saved)

Precisions

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

ival-mult: 5.0ms (41.1% of total)

ival-div: 2.0ms (16.4% of total)

ival-sqrt: 2.0ms (16.4% of total)

ival-sub: 1.0ms (8.2% of total)

ival-add: 1.0ms (8.2% of total)

ival-neg: 1.0ms (8.2% of total)

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

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

simplify16.0ms (0.1%)

Memory

-21.6MiB live, 18.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	194
1	84	193
2	119	193
3	150	193
4	175	193
5	184	193
6	187	193

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -8916557948917087/1438154507889852726183444152631219786894381583153845258187440649261861406444007705061667818579260288168960911038971146861270318150515332979942779445115792995022143147398923882210417756809968752955624663616680046150705205458739703051791304884326617897306804085476690385919577967507837730438682850636993793097728 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 (neg.f64 c) (+.f64 b_2 (sqrt.f64 (fabs.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
(if (<=.f64 b_2 #s(literal -8916557948917087/1438154507889852726183444152631219786894381583153845258187440649261861406444007705061667818579260288168960911038971146861270318150515332979942779445115792995022143147398923882210417756809968752955624663616680046150705205458739703051791304884326617897306804085476690385919577967507837730438682850636993793097728 binary64)) (/.f64 (-.f64 (sqrt.f64 (fabs.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2) a) (/.f64 (neg.f64 c) (+.f64 b_2 (sqrt.f64 (fabs.f64 (fma.f64 c a (.f64 b_2 b_2)))))))
(if (<=.f64 b_2 #s(literal 1667355148462087/196159429230833773869868419475239575503198607639501078528 binary64)) (/.f64 (-.f64 (sqrt.f64 (fabs.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2) a) (/.f64 (neg.f64 c) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))))
(if (<=.f64 b_2 #s(literal -2845706385096283/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) b_2) a) (if (<=.f64 b_2 #s(literal 7218666995694683/784637716923335095479473677900958302012794430558004314112 binary64)) (/.f64 (neg.f64 c) (+.f64 b_2 (sqrt.f64 (fabs.f64 (.f64 c a))))) (/.f64 (neg.f64 c) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))))
(if (<=.f64 b_2 #s(literal -2845706385096283/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) b_2) a) (/.f64 (neg.f64 c) (+.f64 b_2 (sqrt.f64 (fabs.f64 (.f64 c a))))))
(if (<=.f64 b_2 #s(literal -53000000000000003024209953423360 binary64)) (/.f64 (neg.f64 b_2) a) (/.f64 (neg.f64 c) (+.f64 b_2 (sqrt.f64 (fabs.f64 (*.f64 c a))))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (neg.f64 b_2) a) (/.f64 c (neg.f64 b_2)))
(/.f64 c (neg.f64 b_2))
(.f64 (.f64 b_2 b_2) #s(literal 0 binary64))
(neg.f64 b_2)

Outputs
(if (<=.f64 b_2 #s(literal -8916557948917087/1438154507889852726183444152631219786894381583153845258187440649261861406444007705061667818579260288168960911038971146861270318150515332979942779445115792995022143147398923882210417756809968752955624663616680046150705205458739703051791304884326617897306804085476690385919577967507837730438682850636993793097728 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 (neg.f64 c) (+.f64 b_2 (sqrt.f64 (fabs.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
(if (<=.f64 b_2 #s(literal -8916557948917087/1438154507889852726183444152631219786894381583153845258187440649261861406444007705061667818579260288168960911038971146861270318150515332979942779445115792995022143147398923882210417756809968752955624663616680046150705205458739703051791304884326617897306804085476690385919577967507837730438682850636993793097728 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 c (-.f64 (neg.f64 b_2) (sqrt.f64 (fabs.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
(if (<=.f64 b_2 #s(literal -8916557948917087/1438154507889852726183444152631219786894381583153845258187440649261861406444007705061667818579260288168960911038971146861270318150515332979942779445115792995022143147398923882210417756809968752955624663616680046150705205458739703051791304884326617897306804085476690385919577967507837730438682850636993793097728 binary64)) (/.f64 (-.f64 (sqrt.f64 (fabs.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2) a) (/.f64 (neg.f64 c) (+.f64 b_2 (sqrt.f64 (fabs.f64 (fma.f64 c a (.f64 b_2 b_2)))))))
(if (<=.f64 b_2 #s(literal -8916557948917087/1438154507889852726183444152631219786894381583153845258187440649261861406444007705061667818579260288168960911038971146861270318150515332979942779445115792995022143147398923882210417756809968752955624663616680046150705205458739703051791304884326617897306804085476690385919577967507837730438682850636993793097728 binary64)) (/.f64 (-.f64 (sqrt.f64 (fabs.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2) a) (/.f64 c (-.f64 (neg.f64 b_2) (sqrt.f64 (fabs.f64 (fma.f64 c a (.f64 b_2 b_2)))))))
(if (<=.f64 b_2 #s(literal 1667355148462087/196159429230833773869868419475239575503198607639501078528 binary64)) (/.f64 (-.f64 (sqrt.f64 (fabs.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2) a) (/.f64 (neg.f64 c) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))))
(if (<=.f64 b_2 #s(literal 1667355148462087/196159429230833773869868419475239575503198607639501078528 binary64)) (/.f64 (-.f64 (sqrt.f64 (fabs.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2) a) (/.f64 c (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))))))
(if (<=.f64 b_2 #s(literal -2845706385096283/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) b_2) a) (if (<=.f64 b_2 #s(literal 7218666995694683/784637716923335095479473677900958302012794430558004314112 binary64)) (/.f64 (neg.f64 c) (+.f64 b_2 (sqrt.f64 (fabs.f64 (.f64 c a))))) (/.f64 (neg.f64 c) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))))
(if (<=.f64 b_2 #s(literal -2845706385096283/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) b_2) a) (if (<=.f64 b_2 #s(literal 7218666995694683/784637716923335095479473677900958302012794430558004314112 binary64)) (/.f64 c (-.f64 (neg.f64 b_2) (sqrt.f64 (fabs.f64 (.f64 a c))))) (/.f64 c (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))))
(if (<=.f64 b_2 #s(literal -2845706385096283/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) b_2) a) (/.f64 (neg.f64 c) (+.f64 b_2 (sqrt.f64 (fabs.f64 (.f64 c a))))))
(if (<=.f64 b_2 #s(literal -2845706385096283/3794275180128377091639574036764685364535950857523710002444946112771297432041422848 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (.f64 a c))) b_2) a) (/.f64 c (-.f64 (neg.f64 b_2) (sqrt.f64 (fabs.f64 (.f64 a c))))))
(if (<=.f64 b_2 #s(literal -53000000000000003024209953423360 binary64)) (/.f64 (neg.f64 b_2) a) (/.f64 (neg.f64 c) (+.f64 b_2 (sqrt.f64 (fabs.f64 (*.f64 c a))))))
(if (<=.f64 b_2 #s(literal -53000000000000003024209953423360 binary64)) (/.f64 (neg.f64 b_2) a) (/.f64 c (-.f64 (neg.f64 b_2) (sqrt.f64 (fabs.f64 (*.f64 a c))))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (neg.f64 b_2) a) (/.f64 c (neg.f64 b_2)))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 (neg.f64 b_2) a) (neg.f64 (/.f64 c b_2)))
(/.f64 c (neg.f64 b_2))
(neg.f64 (/.f64 c b_2))
(.f64 (.f64 b_2 b_2) #s(literal 0 binary64))
(neg.f64 b_2)

soundness1.2s (10.6%)

Memory

9.2MiB live, 779.9MiB allocated

Rules

16 422×	`lower-fma.f64`
16 422×	`lower-fma.f32`
9 506×	`lower-fma.f64`
9 506×	`lower-fma.f32`
7 378×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	479	2877
1	1474	2827
2	4985	2782
0	8293	2655
0	10	34
0	17	34
1	64	32
2	463	31
3	5888	31
0	8611	28
0	20	91
0	35	91
1	125	88
2	796	84
0	8603	84
0	1737	12195
1	5727	11562
0	8097	11124
0	159	2557
1	426	2536
2	1133	2504
3	3374	2448
4	6592	2448
0	8140	2307

Stop Event

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

Compiler

Compiled 838 to 403 computations (51.9% saved)

preprocess93.0ms (0.8%)

Memory: 13.2MiB live, 203.0MiB allocated
Compiler: Compiled 608 to 176 computations (71.1% 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

analyze113.0ms (1%)

sample1.4s (12.9%)

preprocess116.0ms (1.1%)

explain169.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify38.0ms (0.3%)

localize43.0ms (0.4%)

series20.0ms (0.2%)

rewrite264.0ms (2.4%)

simplify751.0ms (6.8%)

eval91.0ms (0.8%)

prune233.0ms (2.1%)

simplify290.0ms (2.6%)

localize220.0ms (2%)

series132.0ms (1.2%)

rewrite363.0ms (3.3%)

simplify461.0ms (4.2%)

eval296.0ms (2.7%)

prune501.0ms (4.5%)

simplify135.0ms (1.2%)

localize110.0ms (1%)

series54.0ms (0.5%)

rewrite327.0ms (3%)

simplify440.0ms (4%)

eval210.0ms (1.9%)

prune227.0ms (2.1%)

simplify362.0ms (3.3%)

localize168.0ms (1.5%)

series109.0ms (1%)

rewrite463.0ms (4.2%)

simplify391.0ms (3.5%)

eval255.0ms (2.3%)

prune373.0ms (3.4%)

regimes151.0ms (1.4%)

regimes24.0ms (0.2%)

regimes22.0ms (0.2%)

regimes24.0ms (0.2%)

regimes40.0ms (0.4%)

regimes68.0ms (0.6%)

regimes80.0ms (0.7%)

regimes12.0ms (0.1%)

regimes20.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch26.0ms (0.2%)

bsearch1.0ms (0%)

bsearch33.0ms (0.3%)

bsearch51.0ms (0.5%)

bsearch1.0ms (0%)

bsearch22.0ms (0.2%)

bsearch29.0ms (0.3%)

simplify16.0ms (0.1%)

soundness1.2s (10.6%)

preprocess93.0ms (0.8%)

end0.0ms (0%)

Profiling

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