Metrics for quad2p (problem 3.2.1, positive)

analyze156.0ms (1.9%)

Memory

23.5MiB live, 100.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 12 computations (20% saved)

sample1.6s (19%)

Memory

2.9MiB live, 1 369.8MiB allocated

Samples

489.0ms	5 609×	0	valid
238.0ms	1 141×	2	valid
220.0ms	1 356×	1	valid
68.0ms	1 081×	0	invalid
65.0ms	150×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 675.0ms

ival-mult: 184.0ms (27.3% of total)

ival-sqrt: 97.0ms (14.4% of total)

ival-div: 95.0ms (14.1% of total)

adjust: 79.0ms (11.7% of total)

ival-neg: 76.0ms (11.3% of total)

ival-add: 70.0ms (10.4% of total)

ival-sub: 65.0ms (9.6% of total)

ival-true: 6.0ms (0.9% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

preprocess123.0ms (1.5%)

Memory

-21.3MiB live, 100.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

explain178.0ms (2.1%)

Memory

14.1MiB live, 250.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
107	0	-	2	(5.911000272596897e-307 1.13695457361278e-155 -9.503049001407376e-196)	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
56	1	(5.884248468437366e+168 9.605322195100175e+191 3.109466189892961e-300)	0	-	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
16	0	-	0	-	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
7	0	-	0	-	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`
0	0	-	0	-	`(*.f64 b_2 b_2)`
0	0	-	0	-	`a`
0	0	-	0	-	`(neg.f64 b_2)`
0	0	-	0	-	`b_2`
0	0	-	0	-	`(*.f64 a c)`
0	0	-	0	-	`c`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	oflow-rescue	101	0
↳	`(*.f64 b_2 b_2)`	overflow	85
↳	`(*.f64 a c)`	overflow	30
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	overflow	101
`+.f64`	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	cancellation	57	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`	u/n	16	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	29
↳	`(*.f64 a c)`	underflow	40
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	4
`-.f64`	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	nan-rescue	7	0
↳	`(*.f64 b_2 b_2)`	overflow	85
↳	`(*.f64 a c)`	overflow	30
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	uflow-rescue	4	0
↳	`(*.f64 b_2 b_2)`	underflow	41
↳	`(*.f64 a c)`	underflow	40
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	4

Confusion

	Predicted +	Predicted -
+	130	0
-	19	107

Precision

0.87248322147651

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	130	0	0
-	19	0	107

Precision?

0.87248322147651

Recall?

1.0

Freqs

test

number	freq
0	107
1	116
2	30
3	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

57.0ms	340×	0	valid
21.0ms	76×	2	valid
12.0ms	86×	1	valid
3.0ms	10×	3	valid

Compiler

Compiled 136 to 44 computations (67.6% saved)

Precisions

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

ival-mult: 39.0ms (59.4% of total)

ival-sqrt: 6.0ms (9.1% of total)

ival-div: 5.0ms (7.6% of total)

adjust: 5.0ms (7.6% of total)

ival-sub: 4.0ms (6.1% of total)

ival-add: 4.0ms (6.1% of total)

ival-neg: 2.0ms (3% 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

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.3%	(/.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)

simplify34.0ms (0.4%)

Memory

-6.0MiB live, 32.4MiB 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

localize47.0ms (0.6%)

Memory

-1.7MiB live, 84.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	97.8%	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	accuracy	94.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	accuracy	79.1%	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	accuracy	61.6%	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Samples

18.0ms	170×	0	valid
7.0ms	38×	2	valid
6.0ms	43×	1	valid
1.0ms	5×	3	valid

Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions

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

ival-add: 7.0ms (32.6% of total)

ival-mult: 4.0ms (18.6% of total)

ival-div: 3.0ms (14% of total)

ival-sqrt: 3.0ms (14% of total)

ival-sub: 2.0ms (9.3% of total)

adjust: 2.0ms (9.3% of total)

ival-neg: 1.0ms (4.7% of total)

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

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

series47.0ms (0.6%)

Memory

0.8MiB live, 39.1MiB allocated

Counts

4 → 144

Calls

Call 1

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

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

Calls

36 calls:

Time	Variable		Point	Expression
30.0ms	c	@	inf	(sqrt (- (* b_2 b_2) (* a c)))
1.0ms	a	@	-inf	(/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
1.0ms	a	@	-inf	(sqrt (- (* b_2 b_2) (* a c)))
1.0ms	a	@	inf	(sqrt (- (* b_2 b_2) (* a c)))
1.0ms	b_2	@	0	(sqrt (- (* b_2 b_2) (* a c)))

rewrite240.0ms (2.9%)

Memory

18.0MiB live, 489.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	39
0	17	39
1	64	37
2	463	37
3	5892	37
0	8615	33

Stop Event

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

Counts

4 → 417

Calls

Call 1

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

Outputs
(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)))))
(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))))))
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simplify430.0ms (5.2%)

Memory

-27.1MiB live, 846.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	508	3176
1	1606	3136
2	5518	3120
0	8783	2984

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 141

Calls

Call 1

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

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

eval71.0ms (0.8%)

Memory: 17.2MiB live, 209.4MiB allocated
Compiler: Compiled 17 891 to 2 019 computations (88.7% saved)

prune136.0ms (1.6%)

Memory

-3.3MiB live, 190.1MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	549	9	558
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	550	9	559

Accuracy

92.1%

Counts

559 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.3%	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -1/2 binary64))) b_2) a)
▶	20.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 (.f64 b_2 b_2)) (/.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (fma.f64 b_2 b_2 (*.f64 a c))))))) a)
	5.2%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (fma.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)))) (.f64 (.f64 a (.f64 a c)) (.f64 a (.f64 c c)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (.f64 b_2 (.f64 b_2 b_2)) (.f64 a (.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))))))) a)
	12.8%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (.f64 (fma.f64 b_2 b_2 (.f64 a c)) (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))))) a)
▶	35.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 b_2 (.f64 b_2 (fma.f64 (/.f64 c (*.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64)))))) a)
▶	31.2%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
▶	35.6%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
▶	37.0%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
	33.3%	(.f64 c (fma.f64 c (/.f64 (.f64 a #s(literal -1/8 binary64)) (.f64 b_2 (.f64 b_2 b_2))) (/.f64 #s(literal -1/2 binary64) b_2)))

Compiler

Compiled 408 to 224 computations (45.1% saved)

simplify207.0ms (2.5%)

Memory

17.2MiB live, 309.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 b_2)
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 (.f64 b_2 b_2)) (/.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (fma.f64 b_2 b_2 (*.f64 a c))))))) a)
✓	cost-diff	128	(+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 (.f64 b_2 b_2)) (/.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (fma.f64 b_2 b_2 (*.f64 a c)))))))
✓	cost-diff	1344	(fma.f64 (.f64 b_2 (.f64 b_2 b_2)) (/.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (fma.f64 b_2 b_2 (*.f64 a c)))))
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 b_2 (.f64 b_2 (fma.f64 (/.f64 c (*.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64)))))) a)
✓	cost-diff	128	(+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 b_2 (.f64 b_2 (fma.f64 (/.f64 c (*.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64))))))
✓	cost-diff	640	(.f64 b_2 (fma.f64 (/.f64 c (.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64)))
✓	cost-diff	704	(.f64 b_2 (.f64 b_2 (fma.f64 (/.f64 c (*.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64))))
✓	cost-diff	0	(sqrt.f64 (*.f64 a (neg.f64 c)))
✓	cost-diff	0	(neg.f64 b_2)
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
✓	cost-diff	128	(+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))
✓	cost-diff	0	(*.f64 c #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	cost-diff	0	(*.f64 b_2 #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)

Rules

4 366×	`lower-fma.f32`
4 360×	`lower-fma.f64`
3 212×	`lower-*.f32`
3 190×	`lower-*.f64`
1 526×	`div-sub`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	38	356
0	72	346
1	134	332
2	291	332
3	953	309
4	2857	304
5	4289	284
6	6193	284
7	7555	284
0	8044	284

Stop Event

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

Calls

Call 1

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

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

localize174.0ms (2.1%)

Memory

-1.5MiB live, 273.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	90.3%	(+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 b_2 (.f64 b_2 b_2)) (/.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (fma.f64 b_2 b_2 (*.f64 a c)))))))
✓	accuracy	85.5%	(/.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c)))
✓	accuracy	80.4%	(sqrt.f64 (fma.f64 (.f64 b_2 (.f64 b_2 b_2)) (/.f64 b_2 (fma.f64 b_2 b_2 (.f64 a c))) (neg.f64 (/.f64 (.f64 a (.f64 a (.f64 c c))) (fma.f64 b_2 b_2 (*.f64 a c))))))
✓	accuracy	74.4%	(/.f64 (.f64 a (.f64 a (.f64 c c))) (fma.f64 b_2 b_2 (.f64 a c)))
✓	accuracy	93.7%	(.f64 b_2 (.f64 b_2 (fma.f64 (/.f64 c (*.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64))))
✓	accuracy	90.5%	(/.f64 c (*.f64 b_2 b_2))
✓	accuracy	90.3%	(+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 b_2 (.f64 b_2 (fma.f64 (/.f64 c (*.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64))))))
✓	accuracy	80.4%	(sqrt.f64 (.f64 b_2 (.f64 b_2 (fma.f64 (/.f64 c (*.f64 b_2 b_2)) (neg.f64 a) #s(literal 1 binary64)))))
✓	accuracy	100.0%	(neg.f64 c)
✓	accuracy	100.0%	(neg.f64 b_2)
✓	accuracy	99.9%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) a)
✓	accuracy	85.8%	(sqrt.f64 (*.f64 a (neg.f64 c)))
✓	accuracy	100.0%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	accuracy	100.0%	(*.f64 c #s(literal -1/2 binary64))
✓	accuracy	100.0%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
✓	accuracy	100.0%	(*.f64 b_2 #s(literal -2 binary64))

Samples

38.0ms	20×	1	valid
33.0ms	116×	0	valid
28.0ms	101×	0	invalid
12.0ms	18×	2	valid
1.0ms	1×	3	valid

Compiler

Compiled 380 to 42 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-div: 43.0ms (48% of total)

ival-mult: 22.0ms (24.6% of total)

ival-add: 8.0ms (8.9% of total)

ival-neg: 6.0ms (6.7% of total)

ival-sqrt: 6.0ms (6.7% of total)

adjust: 5.0ms (5.6% of total)

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

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

exact: 0.0ms (0% of total)

series97.0ms (1.2%)

Memory

10.1MiB live, 123.2MiB allocated

Counts

16 → 432

Calls

Call 1

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

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

Calls

108 calls:

Time	Variable		Point	Expression
41.0ms	a	@	-inf	(/ b_2 (+ (* b_2 b_2) (* a c)))
6.0ms	c	@	-inf	(/ (* c -1/2) b_2)
5.0ms	a	@	inf	(sqrt (+ (* (* b_2 (* b_2 b_2)) (/ b_2 (+ (* b_2 b_2) (* a c)))) (neg (/ (* a (* a (* c c))) (+ (* b_2 b_2) (* a c))))))
3.0ms	a	@	inf	(* b_2 (* b_2 (+ (* (/ c (* b_2 b_2)) (neg a)) 1)))
1.0ms	b_2	@	0	(sqrt (* b_2 (* b_2 (+ (* (/ c (* b_2 b_2)) (neg a)) 1))))

rewrite317.0ms (3.8%)

Memory

-11.3MiB live, 487.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 764×	`lower-/.f32`
4 752×	`lower-/.f64`
4 516×	`lower-*.f32`
4 494×	`lower-*.f64`
3 980×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	169
0	68	165
1	243	120
2	1796	116
0	8403	114

Stop Event

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

Counts

16 → 478

Calls

Call 1

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

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

simplify491.0ms (5.9%)

Memory

-3.4MiB live, 626.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 570×	`lower-fma.f64`
9 570×	`lower-fma.f32`
7 264×	`lower-*.f64`
7 264×	`lower-*.f32`
5 322×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	886	7399
1	2932	6857
0	8321	6638

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 426

Calls

Call 1

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

Outputs
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -2 (/ b_2 a))
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
(* -1/2 c)
(*.f64 #s(literal -1/2 binary64) c)
(* -1/2 c)
(*.f64 #s(literal -1/2 binary64) c)
(* -1/2 c)
(*.f64 #s(literal -1/2 binary64) c)
(* -1/2 c)
(*.f64 #s(literal -1/2 binary64) c)
(* -1/2 c)
(*.f64 #s(literal -1/2 binary64) c)
(* -1/2 c)
(*.f64 #s(literal -1/2 binary64) c)
(* -1/2 c)
(*.f64 #s(literal -1/2 binary64) c)
(* -1/2 c)
(*.f64 #s(literal -1/2 binary64) c)
(* -1/2 c)
(*.f64 #s(literal -1/2 binary64) c)
(* -1/2 c)
(*.f64 #s(literal -1/2 binary64) c)
(* -1/2 c)
(*.f64 #s(literal -1/2 binary64) c)
(* -1/2 c)
(*.f64 #s(literal -1/2 binary64) c)
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(* -1/2 (/ c b_2))
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b_2 a))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b_2 a))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b_2 a))
(* -1 (/ b_2 a))
(/.f64 b_2 (neg.f64 a))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(*.f64 b_2 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (/.f64 #s(literal -1 binary64) a)))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(*.f64 b_2 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (/.f64 #s(literal -1 binary64) a)))
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))
(*.f64 b_2 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (/.f64 #s(literal -1 binary64) a)))
(* -1 (/ b_2 a))
(/.f64 b_2 (neg.f64 a))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2))) (neg.f64 b_2))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2))) (neg.f64 b_2))
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2))) (neg.f64 b_2))
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a)
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b_2 a))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b_2 a))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b_2 a))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)))
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a)
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a)
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(.f64 c (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (/.f64 b_2 (.f64 a c))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(.f64 c (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (/.f64 b_2 (.f64 a c))))
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(.f64 c (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (/.f64 b_2 (.f64 a c))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 b_2 (*.f64 a c))) (neg.f64 c))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 b_2 (*.f64 a c))) (neg.f64 c))
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))
(.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (/.f64 b_2 (*.f64 a c))) (neg.f64 c))
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 c)
(neg.f64 c)
(* -1 c)
(neg.f64 c)
(* -1 c)
(neg.f64 c)
(* -1 c)
(neg.f64 c)
(* -1 c)
(neg.f64 c)
(* -1 c)
(neg.f64 c)
(* -1 c)
(neg.f64 c)
(* -1 c)
(neg.f64 c)
(* -1 c)
(neg.f64 c)
(* -1 c)
(neg.f64 c)
(* -1 c)
(neg.f64 c)
(* -1 c)
(neg.f64 c)
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))
(fma.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))
(fma.f64 (.f64 b_2 b_2) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 b_2 b_2) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))
(fma.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 b_2 b_2) (fma.f64 (.f64 b_2 b_2) (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 b_2 b_2) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))))))
b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
(fma.f64 (.f64 b_2 #s(literal -1/2 binary64)) (/.f64 (.f64 a c) (*.f64 b_2 b_2)) b_2)
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))
(.f64 b_2 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) (/.f64 (.f64 c c) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 c (.f64 b_2 b_2)) #s(literal 1 binary64))))
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))
(fma.f64 b_2 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a c) (.f64 b_2 b_2)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 c (*.f64 a a)) c)) (pow.f64 b_2 #s(literal 4 binary64))))) b_2)
(* -1 b_2)
(neg.f64 b_2)
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 c (*.f64 b_2 b_2)) #s(literal 1 binary64)) (neg.f64 b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) (/.f64 (.f64 c c) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 c (.f64 b_2 b_2)) #s(literal 1 binary64))) (neg.f64 b_2))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(neg.f64 (fma.f64 b_2 (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a c) (.f64 b_2 b_2)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 c (*.f64 a a)) c)) (pow.f64 b_2 #s(literal 4 binary64))))) b_2))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 a (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) b_2)
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))
(fma.f64 c (fma.f64 #s(literal -1/2 binary64) (/.f64 a b_2) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c (.f64 a a))) (.f64 b_2 (*.f64 b_2 b_2)))) b_2)
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))
(fma.f64 c (fma.f64 c (fma.f64 (.f64 #s(literal -1/16 binary64) (.f64 a (.f64 a a))) (/.f64 c (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 a a)) (.f64 b_2 (.f64 b_2 b_2)))) (/.f64 (.f64 #s(literal -1/2 binary64) a) b_2)) b_2)
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))
(.f64 c (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c)))))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 c (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c)))))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 c (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c)))))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(neg.f64 (.f64 c (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c)))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(neg.f64 (.f64 c (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c)))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(neg.f64 (.f64 c (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (fma.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c)))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b_2 b_2)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))))
b_2
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(* a c)
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(/ (* (pow a 2) (pow c 2)) (pow b_2 2))
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(* (pow c 2) (+ (* -1 (/ (* (pow a 3) c) (pow b_2 4))) (/ (pow a 2) (pow b_2 2))))
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(* a c)
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(/ (- (+ (* -1 (/ (* (pow a 5) (pow c 5)) (pow b_2 6))) (* (pow a 2) (pow c 2))) (+ (* -1 (/ (* (pow a 4) (pow c 4)) (pow b_2 4))) (/ (* (pow a 3) (pow c 3)) (pow b_2 2)))) (pow b_2 2))
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(* (sqrt (* a c)) (sqrt -1))
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b_2
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))
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(* -1 b_2)
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b_2
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(* (sqrt (* a c)) (sqrt -1))
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b_2
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(* (sqrt (* a c)) (sqrt -1))
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(/ b_2 (* a c))
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(.f64 (neg.f64 c) (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (.f64 b_2 b_2)) (neg.f64 b_2)) c)))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (/ (pow b_2 4) a)) (/ (pow b_2 4) a))))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(neg.f64 (.f64 c (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) (sqrt.f64 (/.f64 c a)))) (neg.f64 c)) b_2) c))))

eval189.0ms (2.3%)

Memory: 12.0MiB live, 210.8MiB allocated
Compiler: Compiled 26 858 to 3 258 computations (87.9% saved)

prune102.0ms (1.2%)

Memory

9.4MiB live, 207.7MiB allocated

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	938	12	950
Fresh	4	0	4
Picked	3	2	5
Done	0	0	0
Total	945	14	959

Accuracy

99.7%

Counts

959 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.4%	(/.f64 (fma.f64 a c (.f64 b_2 b_2)) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c))))))
	31.2%	(/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) a)
	16.6%	(/.f64 (+.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a))) a)
▶	20.0%	(/.f64 (+.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a)
	30.4%	(/.f64 (.f64 (fma.f64 a c (.f64 b_2 b_2)) (/.f64 #s(literal 1 binary64) a)) (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c)))))
✓	35.6%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	37.0%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
▶	15.8%	(/.f64 b_2 (neg.f64 a))
	31.3%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)))
▶	36.9%	(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
▶	31.2%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2))
	35.5%	(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
▶	37.0%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
	20.6%	(exp.f64 (.f64 (log.f64 (/.f64 a (.f64 b_2 #s(literal -2 binary64)))) #s(literal -1 binary64)))

Compiler

Compiled 326 to 230 computations (29.4% saved)

simplify97.0ms (1.2%)

Memory

-18.5MiB live, 56.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

1 008×	`lower-fma.f64`
1 008×	`lower-fma.f32`
768×	`lower-*.f32`
758×	`lower-*.f64`
586×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	113
0	43	111
1	71	107
2	123	107
3	234	107
4	354	107
5	498	107
6	713	107
7	1109	107
8	1711	107
9	2114	107
10	2514	107
11	2778	107
12	2841	107
13	2844	107
14	2844	107
0	2844	107

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize77.0ms (0.9%)

Memory

6.2MiB live, 124.0MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 b_2)
✓	accuracy	100.0%	(neg.f64 a)
✓	accuracy	99.9%	(/.f64 (+.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a)
✓	accuracy	99.8%	(*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))
✓	accuracy	100.0%	(*.f64 a c)
✓	accuracy	100.0%	(neg.f64 (*.f64 a c))
✓	accuracy	99.8%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2))
✓	accuracy	94.0%	(sqrt.f64 (neg.f64 (*.f64 a c)))
✓	accuracy	100.0%	(/.f64 a (*.f64 b_2 #s(literal -2 binary64)))
✓	accuracy	100.0%	(*.f64 b_2 #s(literal -2 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))
✓	accuracy	100.0%	(/.f64 b_2 (neg.f64 a))
✓	accuracy	100.0%	(neg.f64 a)
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) a)
✓	accuracy	99.9%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)

Samples

34.0ms	176×	0	invalid
14.0ms	80×	0	valid

Compiler

Compiled 115 to 26 computations (77.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 10.0ms (37% of total)

ival-mult: 7.0ms (25.9% of total)

ival-sqrt: 4.0ms (14.8% of total)

ival-neg: 3.0ms (11.1% of total)

ival-add: 1.0ms (3.7% of total)

ival-sub: 1.0ms (3.7% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

14 → 312

Calls

Call 1

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

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

Calls

78 calls:

Time	Variable		Point	Expression
1.0ms	c	@	-inf	(* (sqrt (neg a)) (sqrt c))
0.0ms	b_2	@	0	(/ a (* b_2 -2))
0.0ms	c	@	-inf	(/ (+ (neg b_2) (* (sqrt (neg a)) (sqrt c))) a)
0.0ms	a	@	0	(/ a (* b_2 -2))
0.0ms	b_2	@	inf	(/ b_2 (neg a))

rewrite226.0ms (2.7%)

Memory

-0.9MiB live, 325.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 586×	`lower-fma.f64`
4 586×	`lower-fma.f32`
4 186×	`lower-*.f32`
4 176×	`lower-*.f64`
2 644×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	71
0	43	64
1	145	64
2	849	62
0	9224	62

Stop Event

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

Counts

14 → 1 064

Calls

Call 1

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

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

simplify208.0ms (2.5%)

Memory

12.0MiB live, 318.6MiB allocated

Algorithm

1×	egg-herbie

Rules

3 674×	`lower-fma.f64`
3 674×	`lower-fma.f32`
3 200×	`lower-*.f64`
3 200×	`lower-*.f32`
1 626×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	1939
1	159	1900
2	475	1900
3	1010	1876
4	2330	1876
5	4555	1876
6	6684	1876
0	8096	1867

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

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

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

eval257.0ms (3.1%)

Memory: -31.2MiB live, 251.4MiB allocated
Compiler: Compiled 21 336 to 2 642 computations (87.6% saved)

prune141.0ms (1.7%)

Memory

5.8MiB live, 287.1MiB allocated

Pruning

25 alts after pruning (19 fresh and 6 done)

	Pruned	Kept	Total
New	1 420	14	1 434
Fresh	2	5	7
Picked	1	4	5
Done	0	2	2
Total	1 423	25	1 448

Accuracy

99.8%

Counts

1 448 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.2%	(fma.f64 (sqrt.f64 (neg.f64 a)) (/.f64 (sqrt.f64 c) a) (/.f64 b_2 a))
	11.5%	(fma.f64 (sqrt.f64 a) (/.f64 (sqrt.f64 (neg.f64 c)) a) (/.f64 b_2 a))
▶	19.0%	(/.f64 (fma.f64 a c (.f64 b_2 b_2)) (.f64 a (-.f64 b_2 (sqrt.f64 (*.f64 (neg.f64 a) c)))))
	23.9%	(/.f64 (/.f64 (fma.f64 a c (.f64 b_2 b_2)) a) (-.f64 b_2 (sqrt.f64 (.f64 (neg.f64 a) c))))
	31.2%	(/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) a)
	16.6%	(/.f64 (+.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a))) a)
✓	20.0%	(/.f64 (+.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a)
▶	17.9%	(/.f64 (+.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a)
✓	35.6%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	37.0%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
	2.4%	(/.f64 b_2 (*.f64 a #s(literal 1/2 binary64)))
✓	15.8%	(/.f64 b_2 (neg.f64 a))
▶	2.4%	(/.f64 b_2 a)
	31.3%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)))
	36.9%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (neg.f64 a)))
▶	36.9%	(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
	4.0%	(.f64 (/.f64 (.f64 #s(literal -2 binary64) b_2) (neg.f64 (*.f64 a a))) a)
	15.6%	(.f64 (/.f64 b_2 (neg.f64 (.f64 a a))) a)
	20.0%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (.f64 (pow.f64 c #s(literal 1/4 binary64)) (*.f64 (pow.f64 c #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 a)))) b_2))
	16.6%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a)) b_2))
✓	31.2%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2))
	35.5%	(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
✓	37.0%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
▶	28.5%	(.f64 (.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 a a))) a) b_2)
	20.6%	(exp.f64 (.f64 (log.f64 (/.f64 a (.f64 b_2 #s(literal -2 binary64)))) #s(literal -1 binary64)))

Compiler

Compiled 547 to 377 computations (31.1% saved)

simplify197.0ms (2.4%)

Memory

6.1MiB live, 162.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 a (-.f64 b_2 (sqrt.f64 (.f64 (neg.f64 a) c))))
✓	cost-diff	0	(*.f64 b_2 b_2)
✓	cost-diff	0	(fma.f64 a c (*.f64 b_2 b_2))
✓	cost-diff	0	(/.f64 (fma.f64 a c (.f64 b_2 b_2)) (.f64 a (-.f64 b_2 (sqrt.f64 (*.f64 (neg.f64 a) c)))))
✓	cost-diff	0	(sqrt.f64 (neg.f64 a))
✓	cost-diff	0	(*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))
✓	cost-diff	0	(/.f64 (+.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a)
✓	cost-diff	128	(+.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c)))
✓	cost-diff	0	(neg.f64 (*.f64 a a))
✓	cost-diff	0	(.f64 (.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 a a))) a) b_2)
✓	cost-diff	128	(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 a a)))
✓	cost-diff	640	(.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (.f64 a a))) a)
✓	cost-diff	0	(/.f64 b_2 a)
✓	cost-diff	0	(/.f64 a b_2)
✓	cost-diff	384	(/.f64 #s(literal -2 binary64) (/.f64 a b_2))

Rules

3 120×	`lower-fma.f32`
3 118×	`lower-fma.f64`
2 948×	`lower-*.f32`
2 934×	`lower-*.f64`
1 824×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	139
0	48	134
1	77	132
2	149	128
3	391	128
4	966	128
5	1907	128
6	3301	128
7	4620	128
8	7074	128
9	7857	128
0	8013	126

Stop Event

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

Calls

Call 1

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

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

localize78.0ms (0.9%)

Memory

29.4MiB live, 103.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 a (-.f64 b_2 (sqrt.f64 (.f64 (neg.f64 a) c))))
✓	accuracy	99.6%	(fma.f64 a c (*.f64 b_2 b_2))
✓	accuracy	94.0%	(sqrt.f64 (*.f64 (neg.f64 a) c))
✓	accuracy	88.0%	(/.f64 (fma.f64 a c (.f64 b_2 b_2)) (.f64 a (-.f64 b_2 (sqrt.f64 (*.f64 (neg.f64 a) c)))))
✓	accuracy	100.0%	(sqrt.f64 c)
✓	accuracy	100.0%	(neg.f64 a)
✓	accuracy	99.9%	(/.f64 (+.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a)
✓	accuracy	99.8%	(*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))
✓	accuracy	100.0%	(neg.f64 (*.f64 a a))
✓	accuracy	99.9%	(.f64 (.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 a a))) a) b_2)
✓	accuracy	99.6%	(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 a a)))
✓	accuracy	85.6%	(.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (.f64 a a))) a)
✓	accuracy	100.0%	(/.f64 b_2 a)
✓	accuracy	100.0%	(/.f64 a b_2)
✓	accuracy	99.9%	(/.f64 #s(literal -2 binary64) (/.f64 a b_2))

Samples

33.0ms	176×	0	invalid
15.0ms	80×	0	valid

Compiler

Compiled 143 to 29 computations (79.7% saved)

Precisions

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

ival-mult: 11.0ms (34.2% of total)

ival-div: 10.0ms (31% of total)

ival-sqrt: 6.0ms (18.6% of total)

ival-add: 2.0ms (6.2% of total)

ival-neg: 2.0ms (6.2% of total)

ival-sub: 1.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series28.0ms (0.3%)

Memory

-56.7MiB live, 40.7MiB allocated

Counts

15 → 348

Calls

Call 1

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

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

Calls

87 calls:

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

rewrite371.0ms (4.5%)

Memory

53.4MiB live, 595.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 082×	`lower-fma.f32`
9 080×	`lower-fma.f64`
5 802×	`lower-*.f32`
5 788×	`lower-*.f64`
3 704×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	95
0	48	81
1	149	79
2	923	75
0	8801	75

Stop Event

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

Counts

15 → 1 330

Calls

Call 1

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

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

simplify438.0ms (5.3%)

Memory

-26.7MiB live, 491.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 824×	`lower-fma.f64`
10 824×	`lower-fma.f32`
5 018×	`lower-*.f64`
5 018×	`lower-*.f32`
3 094×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	305	3552
1	970	3357
2	3422	3182
0	8289	3079

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

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

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

eval276.0ms (3.3%)

Memory: -0.3MiB live, 237.1MiB allocated
Compiler: Compiled 38 574 to 2 786 computations (92.8% saved)

prune274.0ms (3.3%)

Memory

28.9MiB live, 265.0MiB allocated

Pruning

30 alts after pruning (21 fresh and 9 done)

	Pruned	Kept	Total
New	1 709	8	1 717
Fresh	1	13	14
Picked	2	3	5
Done	0	6	6
Total	1 712	30	1 742

Accuracy

99.8%

Counts

1 742 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.2%	(fma.f64 (sqrt.f64 (neg.f64 a)) (/.f64 (sqrt.f64 c) a) (/.f64 b_2 a))
	11.5%	(fma.f64 (sqrt.f64 a) (/.f64 (sqrt.f64 (neg.f64 c)) a) (/.f64 b_2 a))
	1.8%	(/.f64 (fma.f64 a c (.f64 b_2 b_2)) (.f64 b_2 a))
	23.9%	(/.f64 (/.f64 (fma.f64 a c (.f64 b_2 b_2)) a) (-.f64 b_2 (sqrt.f64 (.f64 (neg.f64 a) c))))
	31.2%	(/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) a)
	16.6%	(/.f64 (+.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a))) a)
✓	20.0%	(/.f64 (+.f64 (neg.f64 b_2) (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a)
	13.7%	(/.f64 (+.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a))) a)
✓	17.9%	(/.f64 (+.f64 b_2 (*.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c))) a)
	24.2%	(/.f64 (.f64 (.f64 a b_2) #s(literal -2 binary64)) (*.f64 a a))
✓	35.6%	(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)
✓	37.0%	(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)
	24.6%	(/.f64 (.f64 a c) (.f64 a (-.f64 b_2 (sqrt.f64 (*.f64 (neg.f64 a) c)))))
	2.4%	(/.f64 b_2 (*.f64 a #s(literal 1/2 binary64)))
✓	15.8%	(/.f64 b_2 (neg.f64 a))
✓	2.4%	(/.f64 b_2 a)
	31.3%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)))
✓	36.9%	(/.f64 #s(literal -2 binary64) (/.f64 a b_2))
	36.9%	(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b_2) a))
	4.0%	(.f64 (/.f64 (.f64 #s(literal -2 binary64) b_2) (neg.f64 (*.f64 a a))) a)
	26.4%	(.f64 (/.f64 b_2 (.f64 (*.f64 a a) #s(literal -1/2 binary64))) a)
	15.6%	(.f64 (/.f64 b_2 (neg.f64 (.f64 a a))) a)
	20.0%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (.f64 (pow.f64 c #s(literal 1/4 binary64)) (*.f64 (pow.f64 c #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 a)))) b_2))
	16.6%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a)) b_2))
✓	31.2%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2))
	35.5%	(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)
✓	37.0%	(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
	26.3%	(.f64 (.f64 (/.f64 #s(literal -2 binary64) (*.f64 a a)) b_2) a)
	28.9%	(.f64 (.f64 (*.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 #s(literal -1 binary64) a)) a) b_2)
	20.6%	(exp.f64 (.f64 (log.f64 (/.f64 a (.f64 b_2 #s(literal -2 binary64)))) #s(literal -1 binary64)))

Compiler

Compiled 894 to 418 computations (53.2% saved)

regimes63.0ms (0.8%)

Memory

9.1MiB live, 127.9MiB allocated

Counts

44 → 3

Calls

Call 1

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

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

Calls

4 calls:

17.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
16.0ms	c
15.0ms	a
13.0ms	b_2

Results

Accuracy	Segments	Branch
59.0%	4	`a`
88.0%	3	`b_2`
63.0%	7	`c`
76.4%	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes11.0ms (0.1%)

Memory

-14.2MiB live, 22.3MiB allocated

Counts

23 → 3

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

b_2

Results

Accuracy	Segments	Branch
84.6%	3	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes16.0ms (0.2%)

Memory

-12.9MiB live, 31.8MiB allocated

Counts

18 → 2

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
6.0ms	b_2

Results

Accuracy	Segments	Branch
53.6%	3	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
70.0%	2	`b_2`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes3.0ms (0%)

Memory

8.8MiB live, 8.8MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

b_2

Results

Accuracy	Segments	Branch
69.9%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

b_2

Results

Accuracy	Segments	Branch
69.9%	2	`b_2`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Memory

-18.8MiB live, 20.6MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	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
37.0%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
37.0%	1	`c`
37.0%	1	`a`
37.0%	1	`b_2`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes7.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
15.8%	1	`b_2`
15.8%	1	`a`
15.8%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
15.8%	1	`c`

Compiler

Compiled 28 to 19 computations (32.1% saved)

regimes5.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 b_2 a)

Outputs
(/.f64 b_2 a)

Calls

4 calls:

1.0ms	c
1.0ms	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
2.4%	1	`a`
2.4%	1	`c`
2.4%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
2.4%	1	`b_2`

Compiler

Compiled 28 to 19 computations (32.1% saved)

bsearch30.0ms (0.4%)

Memory

-20.9MiB live, 57.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
25.0ms	6.987422716540527e-104	2.080459525461209e-95
3.0ms	-1.3714347581599189e+116	-6.396061680877803e+114

Samples

8.0ms	114×	0	valid
5.0ms	68×	0	invalid
3.0ms	20×	2	valid
3.0ms	26×	1	valid

Compiler

Compiled 279 to 196 computations (29.7% saved)

Precisions

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

ival-mult: 4.0ms (30.1% of total)

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

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

adjust: 1.0ms (7.5% of total)

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

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

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

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

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

bsearch38.0ms (0.5%)

Memory

-23.0MiB live, 39.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	6.987422716540527e-104	2.080459525461209e-95
5.0ms	-3.2648924765530527e-43	-2.594449241634198e-43

Samples

18.0ms	118×	0	valid
4.0ms	58×	0	invalid
3.0ms	27×	1	valid
2.0ms	15×	2	valid

Compiler

Compiled 283 to 208 computations (26.5% saved)

Precisions

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

ival-mult: 3.0ms (27.3% of total)

ival-div: 2.0ms (18.2% of total)

ival-sqrt: 2.0ms (18.2% of total)

adjust: 1.0ms (9.1% of total)

ival-add: 1.0ms (9.1% of total)

ival-sub: 1.0ms (9.1% of total)

ival-neg: 1.0ms (9.1% of total)

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

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

bsearch38.0ms (0.5%)

Memory

-10.7MiB live, 28.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
36.0ms	3.0370888482006953e-295	9.475161882034217e-291

Samples

25.0ms	128×	0	valid
5.0ms	73×	0	invalid

Compiler

Compiled 163 to 128 computations (21.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 20.0ms (80% of total)

ival-sub: 1.0ms (4% of total)

ival-div: 1.0ms (4% of total)

ival-add: 1.0ms (4% of total)

ival-sqrt: 1.0ms (4% of total)

ival-neg: 1.0ms (4% of total)

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

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

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.0370888482006953e-295	9.475161882034217e-291

Compiler

Compiled 163 to 128 computations (21.5% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.0370888482006953e-295	9.475161882034217e-291

Compiler

Compiled 163 to 128 computations (21.5% saved)

simplify8.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	112
1	65	111
2	83	111
3	90	111
4	92	111

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784000 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 14091255496643/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -1632046451200537/6277101735386680763835789423207666416102355444464034512896 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 8157446595347295/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 binary64)) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal 3566623179566835/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal 3566623179566835/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
(if (<=.f64 b_2 #s(literal 3566623179566835/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824 binary64)) (.f64 (/.f64 #s(literal -2 binary64) a) b_2) (.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(/.f64 b_2 (neg.f64 a))
(/.f64 b_2 a)

Outputs
(if (<=.f64 b_2 #s(literal -100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784000 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 14091255496643/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -100000000000000001555941612946684302426820139692106143336977058043083378116475570326498538991504744767620628086784000 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 14091255496643/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal -1632046451200537/6277101735386680763835789423207666416102355444464034512896 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 8157446595347295/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 binary64)) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (.f64 a c))) b_2) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)))
(if (<=.f64 b_2 #s(literal 3566623179566835/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (.f64 c #s(literal -1/2 binary64)) b_2))
(if (<=.f64 b_2 #s(literal 3566623179566835/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
(if (<=.f64 b_2 #s(literal 3566623179566835/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824 binary64)) (/.f64 (.f64 b_2 #s(literal -2 binary64)) a) (.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
(if (<=.f64 b_2 #s(literal 3566623179566835/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824 binary64)) (.f64 (/.f64 #s(literal -2 binary64) a) b_2) (.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
(if (<=.f64 b_2 #s(literal 3566623179566835/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824 binary64)) (.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2)
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a))
(/.f64 b_2 (neg.f64 a))
(/.f64 b_2 a)

soundness660.0ms (7.9%)

Memory

21.7MiB live, 726.1MiB allocated

Rules

11 022×	`lower-fma.f64`
11 022×	`lower-fma.f32`
9 570×	`lower-fma.f64`
9 570×	`lower-fma.f32`
7 264×	`lower-*.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	169
0	68	165
1	243	120
2	1796	116
0	8403	114
0	886	7399
1	2932	6857
0	8321	6638
0	508	3176
1	1606	3136
2	5518	3120
0	8783	2984
0	24	71
0	43	64
1	145	64
2	849	62
0	9224	62

Stop Event

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

Compiler

Compiled 318 to 186 computations (41.5% saved)

preprocess124.0ms (1.5%)

Memory: -15.9MiB live, 224.3MiB allocated
Compiler: Compiled 444 to 158 computations (64.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

analyze156.0ms (1.9%)

sample1.6s (19%)

preprocess123.0ms (1.5%)

explain178.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify34.0ms (0.4%)

localize47.0ms (0.6%)

series47.0ms (0.6%)

rewrite240.0ms (2.9%)

simplify430.0ms (5.2%)

eval71.0ms (0.8%)

prune136.0ms (1.6%)

simplify207.0ms (2.5%)

localize174.0ms (2.1%)

series97.0ms (1.2%)

rewrite317.0ms (3.8%)

simplify491.0ms (5.9%)

eval189.0ms (2.3%)

prune102.0ms (1.2%)

simplify97.0ms (1.2%)

localize77.0ms (0.9%)

series9.0ms (0.1%)

rewrite226.0ms (2.7%)

simplify208.0ms (2.5%)

eval257.0ms (3.1%)

prune141.0ms (1.7%)

simplify197.0ms (2.4%)

localize78.0ms (0.9%)

series28.0ms (0.3%)

rewrite371.0ms (4.5%)

simplify438.0ms (5.3%)

eval276.0ms (3.3%)

prune274.0ms (3.3%)

regimes63.0ms (0.8%)

regimes11.0ms (0.1%)

regimes16.0ms (0.2%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch30.0ms (0.4%)

bsearch38.0ms (0.5%)

bsearch38.0ms (0.5%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify8.0ms (0.1%)

soundness660.0ms (7.9%)

preprocess124.0ms (1.5%)

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