Metrics for quad2p (problem 3.2.1, positive)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze114.0ms (1.5%)

Memory

-3.8MiB live, 116.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 12 computations (20% saved)

sample1.8s (23.5%)

Memory

73.6MiB live, 1 194.6MiB allocated

Samples

608.0ms	5 585×	0	valid
282.0ms	1 158×	2	valid
191.0ms	1 351×	1	valid
81.0ms	1 096×	0	invalid
37.0ms	162×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 841.0ms

ival-mult: 211.0ms (25.1% of total)

ival-div: 148.0ms (17.6% of total)

ival-sub: 132.0ms (15.7% of total)

ival-sqrt: 121.0ms (14.4% of total)

ival-neg: 76.0ms (9% of total)

adjust: 71.0ms (8.4% of total)

ival-add: 71.0ms (8.4% of total)

ival-true: 7.0ms (0.8% of total)

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

Bogosity

explain191.0ms (2.6%)

Memory

-37.6MiB live, 210.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
91	-	0	-	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
58	-	0	-	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
14	-	1	(4.588757449897752e-92 1.4494181156333293e+265 -5.059891725072038e+43)	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
1	-	0	-	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`
0	-	0	-	`(*.f64 b_2 b_2)`
0	-	0	-	`a`
0	-	0	-	`(neg.f64 b_2)`
0	-	0	-	`b_2`
0	-	0	-	`(*.f64 a c)`
0	-	0	-	`c`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	oflow-rescue	87	0
↳	`(*.f64 b_2 b_2)`	overflow	74
↳	`(*.f64 a c)`	overflow	16
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	overflow	87
`+.f64`	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	cancellation	58	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`	u/n	13	0
↳	`(*.f64 b_2 b_2)`	underflow	42
↳	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	underflow	24
↳	`(*.f64 a c)`	underflow	33
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	4
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	uflow-rescue	4	0
↳	`(*.f64 b_2 b_2)`	underflow	42
↳	`(*.f64 a c)`	underflow	33
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	4
`-.f64`	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	nan-rescue	1	0
↳	`(*.f64 b_2 b_2)`	overflow	74
↳	`(*.f64 a c)`	overflow	16

Confusion

	Predicted +	Predicted -
+	113	0
-	20	123

Precision

0.849624060150376

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	113	0	0
-	20	0	123

Precision?

0.849624060150376

Recall?

1.0

Freqs

test

number	freq
0	123
1	104
2	28
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

39.0ms	78×	2	valid
32.0ms	356×	0	valid
10.0ms	72×	1	valid
2.0ms	6×	3	valid

Compiler

Compiled 117 to 34 computations (70.9% saved)

Precisions

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

ival-mult: 13.0ms (33.5% of total)

ival-sqrt: 6.0ms (15.5% of total)

ival-div: 5.0ms (12.9% of total)

ival-sub: 4.0ms (10.3% of total)

adjust: 4.0ms (10.3% of total)

ival-add: 4.0ms (10.3% of total)

ival-neg: 2.0ms (5.2% of total)

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

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

preprocess110.0ms (1.5%)

Memory

26.7MiB live, 69.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	118
1	114	111
2	245	109
3	685	109
4	1777	109
5	3264	109
6	3950	109
7	4043	109
8	4135	109
9	4167	109
10	4167	109
0	10	13
0	17	13
1	28	12
2	45	12
3	74	12
4	113	12
5	189	12
6	322	12
7	475	12
8	828	12
9	942	12
10	974	12
11	985	12
12	986	12
0	986	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 (neg.f64 c) a (*.f64 b_2 b_2))) b_2) a)

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify27.0ms (0.4%)

Memory

-26.6MiB live, 12.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
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	1	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))

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	322	48
7	475	48
8	828	48
9	942	48
10	974	48
11	985	48
12	986	48
0	986	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 (neg.f64 c) a (*.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 (neg.f64 c) a (*.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 (neg.f64 c) a (*.f64 b_2 b_2)))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))
(*.f64 b_2 b_2)
(*.f64 a c)
(*.f64 c a)
a
c

localize52.0ms (0.7%)

Memory

25.7MiB live, 64.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.21093750000000003	(-.f64 (.f64 b_2 b_2) (.f64 a c))
accuracy	3.2728202317665387	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
accuracy	12.940633172331372	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
accuracy	21.259014348210936	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Samples

17.0ms	3×	3	valid
13.0ms	178×	0	valid
9.0ms	39×	2	valid
5.0ms	36×	1	valid

Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions

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

ival-mult: 4.0ms (24.2% of total)

ival-sqrt: 3.0ms (18.1% of total)

ival-div: 3.0ms (18.1% of total)

ival-sub: 2.0ms (12.1% of total)

adjust: 2.0ms (12.1% of total)

ival-add: 2.0ms (12.1% of total)

ival-neg: 1.0ms (6% of total)

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

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

series22.0ms (0.3%)

Memory

-7.3MiB live, 30.2MiB allocated

Counts

5 → 98

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	a	@	-inf	((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
2.0ms	b_2	@	inf	((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
2.0ms	a	@	inf	((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
2.0ms	c	@	0	((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))
2.0ms	c	@	-inf	((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)))

simplify185.0ms (2.5%)

Memory

17.5MiB live, 254.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	508	2832
1	1606	2798
2	5550	2747
0	8048	2611

Stop Event

1×	iter limit
1×	node limit

Counts

98 → 97

Calls

Call 1

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

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

rewrite131.0ms (1.8%)

Memory

-2.7MiB live, 119.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
0	17	41
1	64	39
2	463	38
3	5920	38
0	8644	34

Stop Event

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

Counts

5 → 449

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) #s(literal 2 binary64))) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))))
(.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (fma.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2 (fma.f64 c a (.f64 b_2 b_2))) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) (pow.f64 b_2 #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2)))) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2))
(.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 1 binary64)) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))))
(.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) #s(literal -1 binary64))))
(.f64 (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))))
(.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) #s(literal -1 binary64)) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))
(.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64))))
(.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2))
(.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2))
(.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) (.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal -1 binary64))))
(.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))))
(.f64 (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (neg.f64 (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) #s(literal -1 binary64)))
(.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)))
(.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) #s(literal -1 binary64))
(.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal 1 binary64))
(/.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2)))) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)))
(/.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) #s(literal -1 binary64)))
(/.f64 (.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 2 binary64)) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) #s(literal -1 binary64))) (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))))
(/.f64 (.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64))) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) #s(literal -1 binary64))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (pow.f64 b_2 #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64))) (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) #s(literal -1 binary64))) (-.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 9/2 binary64)) (pow.f64 b_2 #s(literal 9 binary64))) (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2))) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 b_2 b_2) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) #s(literal 2 binary64))) (fma.f64 b_2 (/.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 b_2 b_2) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (.f64 b_2 b_2) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 b_2 b_2) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2))))))
(/.f64 (.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal 3 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (pow.f64 b_2 #s(literal 4 binary64))) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)))
(/.f64 (.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 9/2 binary64)) (pow.f64 b_2 #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))))
(/.f64 (-.f64 (.f64 (.f64 b_2 b_2) (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2)) (.f64 (-.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (fma.f64 c a (.f64 b_2 b_2)))) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))))
(/.f64 (-.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) b_2) (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) (.f64 b_2 b_2))) (.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2))
(/.f64 (-.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 b_2 b_2)) (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) (pow.f64 b_2 #s(literal 3 binary64)))) (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) (.f64 b_2 b_2)))
(/.f64 (-.f64 (.f64 (hypot.f64 (pow.f64 (.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) b_2) (.f64 (hypot.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (.f64 c a)) (.f64 b_2 b_2))) (.f64 (hypot.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (*.f64 c a)) b_2))
(/.f64 (-.f64 (.f64 (hypot.f64 (pow.f64 (.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (.f64 b_2 b_2)) (.f64 (hypot.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (.f64 c a)) (pow.f64 b_2 #s(literal 3 binary64)))) (.f64 (hypot.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (.f64 c a)) (.f64 b_2 b_2)))
(/.f64 (-.f64 (.f64 (.f64 b_2 b_2) (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2)))) (.f64 b_2 (fma.f64 c a (.f64 b_2 b_2)))) (.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2))
(/.f64 (-.f64 (.f64 (.f64 b_2 b_2) (hypot.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (.f64 c a))) (.f64 b_2 (hypot.f64 (pow.f64 (.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))))) (.f64 b_2 (hypot.f64 (.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2))) b_2) (*.f64 c a))))
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(*.f64 (pow.f64 b_2 #s(literal 1/2 binary64)) (pow.f64 b_2 #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) b_2)
(*.f64 #s(literal 1 binary64) b_2)
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(*.f64 b_2 #s(literal -1 binary64))
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(pow.f64 (/.f64 b_2 (*.f64 b_2 b_2)) #s(literal -1 binary64))
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(/.f64 (*.f64 b_2 b_2) b_2)
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(-.f64 (/.f64 #s(literal 0 binary64) b_2) b_2)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b_2 b_2)) b_2)
(-.f64 #s(literal 0 binary64) b_2)
(+.f64 #s(literal 0 binary64) b_2)
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b_2
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(+.f64 (.f64 b_2 b_2) (.f64 (neg.f64 a) c))
(+.f64 (.f64 b_2 b_2) (.f64 c a))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 c a (.f64 b_2 b_2)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 c a (.f64 b_2 b_2)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))))

eval63.0ms (0.8%)

Memory: 9.4MiB live, 81.7MiB allocated
Compiler: Compiled 15 289 to 2 194 computations (85.6% saved)

prune22.0ms (0.3%)

Memory

2.1MiB live, 37.9MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	529	14	543
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	529	15	544

Accuracy

93.9%

Counts

544 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	9.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (.f64 (fma.f64 c a (.f64 b_2 b_2)) (+.f64 (pow.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a)) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 8 binary64))))))) a)
▶	16.0%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 4 binary64))) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64))))) a)
✓	58.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	19.9%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))))) a)
	19.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (pow.f64 (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1 binary64)))))) a)
	19.4%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64)) (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))) a)
▶	37.5%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
	29.6%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
	10.5%	(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 c b_2) b_2))) a)
▶	24.0%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 (.f64 c c) a) a) b_2) (.f64 (*.f64 c a) #s(literal -1/2 binary64))) b_2)) a)
▶	24.9%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
	34.9%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
	29.9%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (*.f64 #s(literal -1/2 binary64) c)) b_2))
	32.2%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (fma.f64 (.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) c))
▶	33.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))

Compiler

Compiled 765 to 500 computations (34.6% saved)

simplify173.0ms (2.3%)

Memory

-20.6MiB live, 135.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 4 binary64))) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64))))
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 4 binary64))) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64))))) a)
cost-diff	1	(+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 4 binary64))) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64)))))
cost-diff	0	(/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 (.f64 c c) a) a) b_2) (.f64 (*.f64 c a) #s(literal -1/2 binary64))) b_2)
cost-diff	0	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 (.f64 c c) a) a) b_2) (.f64 (*.f64 c a) #s(literal -1/2 binary64))) b_2))
cost-diff	0	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 (.f64 c c) a) a) b_2) (.f64 (*.f64 c a) #s(literal -1/2 binary64))) b_2)) a)
cost-diff	4	(fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 (.f64 c c) a) a) b_2) (.f64 (*.f64 c a) #s(literal -1/2 binary64)))
cost-diff	0	(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
cost-diff	0	(.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
cost-diff	0	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))
cost-diff	0	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
cost-diff	0	(/.f64 c b_2)
cost-diff	0	(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
cost-diff	1	(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	431
0	84	431
1	131	422
2	249	422
3	590	410
4	1384	410
5	3567	410
6	5797	410
0	8044	406

Stop Event

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

Calls

Call 1

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

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

localize476.0ms (6.4%)

Memory

-49.5MiB live, 245.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	8.722641800811443	(-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (*.f64 c a) #s(literal 4 binary64)))
accuracy	12.937136936618538	(+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 4 binary64))) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64)))))
accuracy	21.255108098210936	(sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 4 binary64))) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64))))
accuracy	45.45922163240255	(/.f64 (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 4 binary64))) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64)))
accuracy	4.353678769832296	(/.f64 (.f64 (.f64 (*.f64 c c) a) a) b_2)
accuracy	4.76778994583917	(fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 (.f64 c c) a) a) b_2) (.f64 (*.f64 c a) #s(literal -1/2 binary64)))
accuracy	10.342958457661167	(.f64 (.f64 c c) a)
accuracy	42.48029021793517	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 (.f64 c c) a) a) b_2) (.f64 (*.f64 c a) #s(literal -1/2 binary64))) b_2))
accuracy	0.0078125	(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
accuracy	3.2728202317665387	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
accuracy	6.089642706159563	(.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
accuracy	42.3453846079168	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))
accuracy	0.0	(/.f64 c b_2)
accuracy	0.00390625	(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
accuracy	42.37944588923309	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
accuracy	3.2728202317665387	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
accuracy	12.940633172331372	(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
accuracy	21.259014348210936	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
accuracy	39.62127698422287	#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))

Samples

63.0ms	178×	0	valid
31.0ms	39×	2	valid
19.0ms	36×	1	valid
3.0ms	3×	3	valid

Compiler

Compiled 357 to 43 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-mult: 22.0ms (26% of total)

ival-div: 21.0ms (24.8% of total)

ival-pow: 14.0ms (16.5% of total)

adjust: 8.0ms (9.4% of total)

ival-add: 7.0ms (8.3% of total)

ival-sqrt: 6.0ms (7.1% of total)

ival-sub: 4.0ms (4.7% of total)

ival-neg: 2.0ms (2.4% of total)

exact: 1.0ms (1.2% of total)

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

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

series128.0ms (1.7%)

Memory

-10.1MiB live, 109.7MiB allocated

Counts

23 → 223

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
29.0ms	b_2	@	0	((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (+ (* (/ -1/8 b_2) (/ (* (* (* c c) a) a) b_2)) (* (* c a) -1/2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (* (/ -1/8 b_2) (/ (* (* (* c c) a) a) b_2)) (* (* c a) -1/2)) b_2) (+ (neg b_2) (sqrt (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3)))) (/ (+ (neg b_2) (sqrt (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3)))) a) (sqrt (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3))) (- (* b_2 b_2) (* a c)) (* (* c c) a) (/ (* (* (* c c) a) a) b_2) (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3)) (- (pow b_2 8) (pow (* c a) 4)))
18.0ms	b_2	@	-inf	((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (+ (* (/ -1/8 b_2) (/ (* (* (* c c) a) a) b_2)) (* (* c a) -1/2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (* (/ -1/8 b_2) (/ (* (* (* c c) a) a) b_2)) (* (* c a) -1/2)) b_2) (+ (neg b_2) (sqrt (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3)))) (/ (+ (neg b_2) (sqrt (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3)))) a) (sqrt (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3))) (- (* b_2 b_2) (* a c)) (* (* c c) a) (/ (* (* (* c c) a) a) b_2) (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3)) (- (pow b_2 8) (pow (* c a) 4)))
12.0ms	a	@	0	((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (+ (* (/ -1/8 b_2) (/ (* (* (* c c) a) a) b_2)) (* (* c a) -1/2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (* (/ -1/8 b_2) (/ (* (* (* c c) a) a) b_2)) (* (* c a) -1/2)) b_2) (+ (neg b_2) (sqrt (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3)))) (/ (+ (neg b_2) (sqrt (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3)))) a) (sqrt (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3))) (- (* b_2 b_2) (* a c)) (* (* c c) a) (/ (* (* (* c c) a) a) b_2) (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3)) (- (pow b_2 8) (pow (* c a) 4)))
10.0ms	c	@	0	((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (+ (* (/ -1/8 b_2) (/ (* (* (* c c) a) a) b_2)) (* (* c a) -1/2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (* (/ -1/8 b_2) (/ (* (* (* c c) a) a) b_2)) (* (* c a) -1/2)) b_2) (+ (neg b_2) (sqrt (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3)))) (/ (+ (neg b_2) (sqrt (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3)))) a) (sqrt (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3))) (- (* b_2 b_2) (* a c)) (* (* c c) a) (/ (* (* (* c c) a) a) b_2) (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3)) (- (pow b_2 8) (pow (* c a) 4)))
10.0ms	b_2	@	inf	((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (+ (* (/ -1/8 b_2) (/ (* (* (* c c) a) a) b_2)) (* (* c a) -1/2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (* (/ -1/8 b_2) (/ (* (* (* c c) a) a) b_2)) (* (* c a) -1/2)) b_2) (+ (neg b_2) (sqrt (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3)))) (/ (+ (neg b_2) (sqrt (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3)))) a) (sqrt (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3))) (- (* b_2 b_2) (* a c)) (* (* c c) a) (/ (* (* (* c c) a) a) b_2) (/ (- (pow b_2 8) (pow (* c a) 4)) (pow (+ (* c a) (* b_2 b_2)) 3)) (- (pow b_2 8) (pow (* c a) 4)))

simplify202.0ms (2.7%)

Memory

24.9MiB live, 248.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1403	13162
1	4903	12566
0	8223	12068

Stop Event

1×	iter limit
1×	node limit

Counts

223 → 222

Calls

Call 1

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

Outputs
(* -1/2 (/ (* a c) b_2))
(.f64 (/.f64 (.f64 c a) b_2) #s(literal -1/2 binary64))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(.f64 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
(* 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 (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
(* 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 (fma.f64 (fma.f64 (fma.f64 (.f64 a (/.f64 (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
(* -1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -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 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -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))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 a (/.f64 (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64) b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(fma.f64 (fma.f64 (/.f64 (.f64 (.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a 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 (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a b_2)
(* -1/2 (/ a b_2))
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
(* -1/2 (* a c))
(.f64 #s(literal -1/2 binary64) (.f64 c a))
(* a (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))))
(.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (.f64 #s(literal -1/2 binary64) c)) a)
(* -1/2 (/ (* a (+ c (* 2 c))) b_2))
(.f64 (/.f64 (.f64 (*.f64 #s(literal 3 binary64) c) a) b_2) #s(literal -1/2 binary64))
(* a (+ (* -1/2 (/ (* a (+ (* -1 (/ (* (+ c (* 2 c)) (+ (* 2 (* (pow b_2 4) c)) (* (pow b_2 4) c))) (pow b_2 6))) (+ (* 1/4 (/ (pow (+ c (* 2 c)) 2) (pow b_2 2))) (+ (* 2 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))))) b_2)) (* -1/2 (/ (+ c (* 2 c)) b_2))))
(.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 a (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) (/.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) c)) (pow.f64 b_2 #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) b_2) (/.f64 (.f64 #s(literal 9 binary64) (.f64 c c)) b_2) (.f64 #s(literal 3 binary64) (.f64 (/.f64 c b_2) (/.f64 c b_2))))) b_2) (/.f64 (.f64 #s(literal 3 binary64) c) b_2))) a)
(* a (+ (* -1/2 (/ (+ c (* 2 c)) b_2)) (* a (+ (* -1/2 (/ (* a (+ (* -1 (/ (* (+ c (* 2 c)) (+ (* 2 (* (pow b_2 2) (pow c 2))) (* (pow b_2 2) (pow c 2)))) (pow b_2 6))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ c (* 2 c)) (+ (* 2 (* (pow b_2 4) c)) (* (pow b_2 4) c))) (pow b_2 6))) (+ (* 2 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) (+ (* 2 (* (pow b_2 4) c)) (* (pow b_2 4) c))) (pow b_2 6))) (+ (* 1/2 (/ (* (+ c (* 2 c)) (+ (* -1 (/ (* (+ c (* 2 c)) (+ (* 2 (* (pow b_2 4) c)) (* (pow b_2 4) c))) (pow b_2 6))) (+ (* 1/4 (/ (pow (+ c (* 2 c)) 2) (pow b_2 2))) (+ (* 2 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))))) (pow b_2 2))) (/ (pow c 3) (pow b_2 4)))))) b_2)) (* -1/2 (/ (+ (* -1 (/ (* (+ c (* 2 c)) (+ (* 2 (* (pow b_2 4) c)) (* (pow b_2 4) c))) (pow b_2 6))) (+ (* 1/4 (/ (pow (+ c (* 2 c)) 2) (pow b_2 2))) (+ (* 2 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) b_2))))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 a (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) (/.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 c b_2) (.f64 c b_2))) (pow.f64 b_2 #s(literal 6 binary64))) (fma.f64 (neg.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) (/.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) c)) (pow.f64 b_2 #s(literal 6 binary64))) (.f64 #s(literal 3 binary64) (.f64 (/.f64 c b_2) (/.f64 c b_2))))) (/.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) c)) (pow.f64 b_2 #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) (/.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) c)) (pow.f64 b_2 #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) b_2) (/.f64 (.f64 #s(literal 9 binary64) (.f64 c c)) b_2) (.f64 #s(literal 3 binary64) (.f64 (/.f64 c b_2) (/.f64 c b_2))))) (.f64 #s(literal 3 binary64) c)) b_2) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))))) b_2) (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) (/.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) c)) (pow.f64 b_2 #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) b_2) (/.f64 (.f64 #s(literal 9 binary64) (.f64 c c)) b_2) (.f64 #s(literal 3 binary64) (.f64 (/.f64 c b_2) (/.f64 c b_2))))) b_2))) a (.f64 (/.f64 (.f64 #s(literal 3 binary64) c) b_2) #s(literal -1/2 binary64))) a)
(* a (+ (* -1/2 (/ (+ c (* 2 c)) b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (* (+ c (* 2 c)) (+ (* 2 (* (pow b_2 4) c)) (* (pow b_2 4) c))) (pow b_2 6))) (+ (* 1/4 (/ (pow (+ c (* 2 c)) 2) (pow b_2 2))) (+ (* 2 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) b_2)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (* (+ c (* 2 c)) (+ (* 2 (* (pow b_2 2) (pow c 2))) (* (pow b_2 2) (pow c 2)))) (pow b_2 6))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ c (* 2 c)) (+ (* 2 (* (pow b_2 4) c)) (* (pow b_2 4) c))) (pow b_2 6))) (+ (* 2 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) (+ (* 2 (* (pow b_2 4) c)) (* (pow b_2 4) c))) (pow b_2 6))) (+ (* 1/2 (/ (* (+ c (* 2 c)) (+ (* -1 (/ (* (+ c (* 2 c)) (+ (* 2 (* (pow b_2 4) c)) (* (pow b_2 4) c))) (pow b_2 6))) (+ (* 1/4 (/ (pow (+ c (* 2 c)) 2) (pow b_2 2))) (+ (* 2 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))))) (pow b_2 2))) (/ (pow c 3) (pow b_2 4))))) b_2)) (* 1/2 (/ (* a (- (* -1 (/ (pow c 4) (pow b_2 6))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ c (* 2 c)) (+ (* 2 (* (pow b_2 2) (pow c 2))) (* (pow b_2 2) (pow c 2)))) (pow b_2 6))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ c (* 2 c)) (+ (* 2 (* (pow b_2 4) c)) (* (pow b_2 4) c))) (pow b_2 6))) (+ (* 2 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) (+ (* 2 (* (pow b_2 4) c)) (* (pow b_2 4) c))) (pow b_2 6))) (/ (pow c 3) (pow b_2 4)))) (+ (* 2 (* (pow b_2 4) c)) (* (pow b_2 4) c))) (pow b_2 6))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ c (* 2 c)) (+ (* 2 (* (pow b_2 4) c)) (* (pow b_2 4) c))) (pow b_2 6))) (+ (* 2 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) (+ (* 2 (* (pow b_2 2) (pow c 2))) (* (pow b_2 2) (pow c 2)))) (pow b_2 6))) (+ (* -1 (/ (* (pow c 3) (+ c (* 2 c))) (pow b_2 6))) (+ (* 1/4 (/ (pow (+ (* -1 (/ (* (+ c (* 2 c)) (+ (* 2 (* (pow b_2 4) c)) (* (pow b_2 4) c))) (pow b_2 6))) (+ (* 1/4 (/ (pow (+ c (* 2 c)) 2) (pow b_2 2))) (+ (* 2 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2))))) 2) (pow b_2 2))) (* 1/2 (/ (* (+ c (* 2 c)) (+ (* -1 (/ (* (+ c (* 2 c)) (+ (* 2 (* (pow b_2 2) (pow c 2))) (* (pow b_2 2) (pow c 2)))) (pow b_2 6))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ c (* 2 c)) (+ (* 2 (* (pow b_2 4) c)) (* (pow b_2 4) c))) (pow b_2 6))) (+ (* 2 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))) (+ (* 2 (* (pow b_2 4) c)) (* (pow b_2 4) c))) (pow b_2 6))) (+ (* 1/2 (/ (* (+ c (* 2 c)) (+ (* -1 (/ (* (+ c (* 2 c)) (+ (* 2 (* (pow b_2 4) c)) (* (pow b_2 4) c))) (pow b_2 6))) (+ (* 1/4 (/ (pow (+ c (* 2 c)) 2) (pow b_2 2))) (+ (* 2 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))))) (pow b_2 2))) (/ (pow c 3) (pow b_2 4)))))) (pow b_2 2))))))))) b_2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 a (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 c #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) (+.f64 (fma.f64 (neg.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) (/.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 c b_2) (.f64 c b_2))) (pow.f64 b_2 #s(literal 6 binary64))) (-.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) (/.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) c)) (pow.f64 b_2 #s(literal 6 binary64))) (.f64 #s(literal 3 binary64) (.f64 (/.f64 c b_2) (/.f64 c b_2)))) (/.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) c)) (pow.f64 b_2 #s(literal 6 binary64))))))) (/.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) c)) (pow.f64 b_2 #s(literal 6 binary64))) (neg.f64 (fma.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) (/.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) c)) (pow.f64 b_2 #s(literal 6 binary64))) (.f64 #s(literal 3 binary64) (.f64 (/.f64 c b_2) (/.f64 c b_2)))) (/.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 c b_2) (.f64 c b_2))) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 (.f64 (.f64 #s(literal 3 binary64) c) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))))) (fma.f64 (.f64 (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) (/.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 c b_2) (.f64 c b_2))) (pow.f64 b_2 #s(literal 6 binary64))) (fma.f64 (neg.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) (/.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) c)) (pow.f64 b_2 #s(literal 6 binary64))) (.f64 #s(literal 3 binary64) (.f64 (/.f64 c b_2) (/.f64 c b_2))))) (/.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) c)) (pow.f64 b_2 #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) (/.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) c)) (pow.f64 b_2 #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) b_2) (/.f64 (.f64 #s(literal 9 binary64) (.f64 c c)) b_2) (.f64 #s(literal 3 binary64) (.f64 (/.f64 c b_2) (/.f64 c b_2))))) (.f64 #s(literal 3 binary64) c)) b_2) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))))) b_2) (/.f64 (.f64 #s(literal 3 binary64) c) b_2)) #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) b_2) (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) (/.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) c)) (pow.f64 b_2 #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) b_2) (/.f64 (.f64 #s(literal 9 binary64) (.f64 c c)) b_2) (.f64 #s(literal 3 binary64) (.f64 (/.f64 c b_2) (/.f64 c b_2))))) #s(literal 2 binary64)) b_2))))) b_2)) #s(literal 1/2 binary64) (.f64 (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) (/.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 c b_2) (.f64 c b_2))) (pow.f64 b_2 #s(literal 6 binary64))) (fma.f64 (neg.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) (/.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) c)) (pow.f64 b_2 #s(literal 6 binary64))) (.f64 #s(literal 3 binary64) (.f64 (/.f64 c b_2) (/.f64 c b_2))))) (/.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) c)) (pow.f64 b_2 #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 (.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) (/.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) c)) (pow.f64 b_2 #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) b_2) (/.f64 (.f64 #s(literal 9 binary64) (.f64 c c)) b_2) (.f64 #s(literal 3 binary64) (.f64 (/.f64 c b_2) (/.f64 c b_2))))) (.f64 #s(literal 3 binary64) c)) b_2) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))))) b_2) #s(literal -1/2 binary64))) a (.f64 (/.f64 (fma.f64 (.f64 #s(literal -3 binary64) c) (/.f64 (.f64 #s(literal 3 binary64) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) c)) (pow.f64 b_2 #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) b_2) (/.f64 (.f64 #s(literal 9 binary64) (.f64 c c)) b_2) (.f64 #s(literal 3 binary64) (.f64 (/.f64 c b_2) (/.f64 c b_2))))) b_2) #s(literal -1/2 binary64))) a (.f64 (/.f64 (*.f64 #s(literal 3 binary64) c) b_2) #s(literal -1/2 binary64))) a)
(* -1/2 (/ (+ c (* 2 c)) b_2))
(.f64 (/.f64 (.f64 #s(literal 3 binary64) c) b_2) #s(literal -1/2 binary64))
(+ (* -1/2 (/ (* a (+ (* -1 (/ (* (+ c (* 2 c)) (+ (* 2 (* (pow b_2 4) c)) (* (pow b_2 4) c))) (pow b_2 6))) (+ (* 1/4 (/ (pow (+ c (* 2 c)) 2) (pow b_2 2))) (+ (* 2 (/ (pow c 2) (pow b_2 2))) (/ (pow c 2) (pow b_2 2)))))) b_2)) (* -1/2 (/ (+ c (* 2 c)) b_2)))
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(.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 c))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 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 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal -1/8 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) #s(literal 1/16 binary64) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (* (sqrt -1) (+ (* 2 (* (pow a 2) (pow b_2 2))) (* (pow a 2) (pow b_2 2)))))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 a b_2) (.f64 a b_2))) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 b_2)) (neg.f64 c))) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (/ (+ (* -2 (* a (pow b_2 4))) (* -1 (* a (pow b_2 4)))) (pow a 2))) (* -1 (/ (pow (+ (* 2 (* (pow a 2) (pow b_2 2))) (* (pow a 2) (pow b_2 2))) 2) (pow a 5))))))) (* 1/2 (* (sqrt (/ c (pow a 5))) (* (sqrt -1) (+ (* 2 (* (pow a 2) (pow b_2 2))) (* (pow a 2) (pow b_2 2))))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (fma.f64 (/.f64 (.f64 (pow.f64 b_2 #s(literal 4 binary64)) a) a) (/.f64 #s(literal -3 binary64) a) (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 a b_2) (.f64 a b_2))) #s(literal 2 binary64)) (pow.f64 a #s(literal 5 binary64))))) (.f64 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (.f64 (.f64 a b_2) (*.f64 a b_2)))))) (neg.f64 c)) b_2) (neg.f64 c))) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 7) c))) (* (sqrt -1) (+ (* 2 (* (pow a 2) (pow b_2 2))) (* (pow a 2) (pow b_2 2))))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 7 binary64)) c))) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (.f64 (.f64 a b_2) (*.f64 a b_2)))) #s(literal -1/2 binary64) (/.f64 (neg.f64 b_2) a)) (neg.f64 c))) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (/ (+ (* -2 (* a (pow b_2 4))) (* -1 (* a (pow b_2 4)))) (pow a 2))) (* -1 (/ (pow (+ (* 2 (* (pow a 2) (pow b_2 2))) (* (pow a 2) (pow b_2 2))) 2) (pow a 5))))))) (* 1/2 (* (sqrt (/ c (pow a 7))) (* (sqrt -1) (+ (* 2 (* (pow a 2) (pow b_2 2))) (* (pow a 2) (pow b_2 2))))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (fma.f64 (/.f64 (.f64 (pow.f64 b_2 #s(literal 4 binary64)) a) a) (/.f64 #s(literal -3 binary64) a) (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 a b_2) (.f64 a b_2))) #s(literal 2 binary64)) (pow.f64 a #s(literal 5 binary64))))) (.f64 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 7 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal 3 binary64) (.f64 (.f64 a b_2) (.f64 a b_2)))))) (neg.f64 c)) (/.f64 b_2 a)) (neg.f64 c))) (neg.f64 c))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (sqrt -1) (+ (* 2 (* (pow a 2) (pow b_2 2))) (* (pow a 2) (pow b_2 2)))))) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 a b_2) (.f64 a b_2))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 c))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (* (sqrt -1) (+ (* -1 (/ (+ (* -2 (* a (pow b_2 4))) (* -1 (* a (pow b_2 4)))) (pow a 2))) (* -1 (/ (pow (+ (* 2 (* (pow a 2) (pow b_2 2))) (* (pow a 2) (pow b_2 2))) 2) (pow a 5))))))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (sqrt -1) (+ (* 2 (* (pow a 2) (pow b_2 2))) (* (pow a 2) (pow b_2 2)))))) (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 5 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (fma.f64 (/.f64 (.f64 (pow.f64 b_2 #s(literal 4 binary64)) a) a) (/.f64 #s(literal -3 binary64) a) (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 a b_2) (.f64 a b_2))) #s(literal 2 binary64)) (pow.f64 a #s(literal 5 binary64))))) (.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 a b_2) (.f64 a b_2))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (/ (+ (* -2 (* a (pow b_2 4))) (* -1 (* a (pow b_2 4)))) (pow a 2))) (* -1 (/ (pow (+ (* 2 (* (pow a 2) (pow b_2 2))) (* (pow a 2) (pow b_2 2))) 2) (pow a 5))))))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (/ (* (+ (* -2 (* a (pow b_2 4))) (* -1 (* a (pow b_2 4)))) (+ (* 2 (* (pow a 2) (pow b_2 2))) (* (pow a 2) (pow b_2 2)))) (pow a 5))) (+ (* -1 (/ (pow b_2 6) (pow a 2))) (+ (* -1/4 (/ (* c (pow (+ (* 2 (* (pow a 2) (pow b_2 2))) (* (pow a 2) (pow b_2 2))) 2)) (pow a 5))) (/ (* (+ (* -1 (/ (+ (* -2 (* a (pow b_2 4))) (* -1 (* a (pow b_2 4)))) (pow a 2))) (* -1 (/ (pow (+ (* 2 (* (pow a 2) (pow b_2 2))) (* (pow a 2) (pow b_2 2))) 2) (pow a 5)))) (+ (* 2 (* (pow a 2) (pow b_2 2))) (* (pow a 2) (pow b_2 2)))) (pow a 3))))))))) (pow c 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (sqrt -1) (+ (* 2 (* (pow a 2) (pow b_2 2))) (* (pow a 2) (pow b_2 2)))))) (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (-.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 a b_2) (.f64 a b_2))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (pow.f64 b_2 #s(literal 4 binary64)) a) a) (/.f64 #s(literal -3 binary64) a) (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 a b_2) (.f64 a b_2))) #s(literal 2 binary64)) (pow.f64 a #s(literal 5 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 (fma.f64 (neg.f64 (.f64 (.f64 (pow.f64 b_2 #s(literal 4 binary64)) a) #s(literal -3 binary64))) (/.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 a b_2) (.f64 a b_2))) (pow.f64 a #s(literal 5 binary64))) (-.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (pow.f64 b_2 #s(literal 4 binary64)) a) a) (/.f64 #s(literal -3 binary64) a) (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 a b_2) (.f64 a b_2))) #s(literal 2 binary64)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 a b_2) (.f64 a b_2))) (pow.f64 a #s(literal 3 binary64))) (.f64 (.f64 c (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 a b_2) (.f64 a b_2))) #s(literal 2 binary64)) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/4 binary64))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (*.f64 a a)))) (sqrt.f64 #s(literal -1 binary64))))) (pow.f64 c #s(literal 3 binary64)))) (neg.f64 c))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(.f64 (fma.f64 (/.f64 (.f64 b_2 b_2) c) #s(literal -1 binary64) a) (neg.f64 c))
(* -1 (* c (+ a (* -1 (/ (+ (* 2 (* (pow a 2) (pow b_2 2))) (* (pow a 2) (pow b_2 2))) (* (pow a 2) c))))))
(.f64 (-.f64 a (.f64 (/.f64 #s(literal 3 binary64) c) (/.f64 (.f64 (.f64 a b_2) (.f64 a b_2)) (.f64 a a)))) (neg.f64 c))
(* -1 (* c (+ a (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (* a (pow b_2 4))) (* -1 (* a (pow b_2 4)))) (* (pow a 2) c))) (* -1 (/ (pow (+ (* 2 (* (pow a 2) (pow b_2 2))) (* (pow a 2) (pow b_2 2))) 2) (* (pow a 5) c)))) (* -1 (/ (+ (* 2 (* (pow a 2) (pow b_2 2))) (* (pow a 2) (pow b_2 2))) (pow a 2)))) c)))))
(.f64 (-.f64 a (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 b_2 #s(literal 4 binary64)) a) c) (/.f64 #s(literal -3 binary64) (.f64 a a)) (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 a b_2) (.f64 a b_2))) #s(literal 2 binary64)) (.f64 (pow.f64 a #s(literal 5 binary64)) c))) (/.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 a b_2) (.f64 a b_2))) (*.f64 a a))) c)) (neg.f64 c))
(* -1 (* c (+ a (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (* a (pow b_2 4))) (* -1 (* a (pow b_2 4)))) (+ (* 2 (* (pow a 2) (pow b_2 2))) (* (pow a 2) (pow b_2 2)))) (* (pow a 5) c))) (+ (* -1 (/ (pow b_2 6) (* (pow a 2) c))) (/ (* (+ (* -1 (/ (+ (* -2 (* a (pow b_2 4))) (* -1 (* a (pow b_2 4)))) (pow a 2))) (* -1 (/ (pow (+ (* 2 (* (pow a 2) (pow b_2 2))) (* (pow a 2) (pow b_2 2))) 2) (pow a 5)))) (+ (* 2 (* (pow a 2) (pow b_2 2))) (* (pow a 2) (pow b_2 2)))) (* (pow a 3) c)))) (+ (* -1 (/ (+ (* -2 (* a (pow b_2 4))) (* -1 (* a (pow b_2 4)))) (pow a 2))) (* -1 (/ (pow (+ (* 2 (* (pow a 2) (pow b_2 2))) (* (pow a 2) (pow b_2 2))) 2) (pow a 5))))) c)) (* -1 (/ (+ (* 2 (* (pow a 2) (pow b_2 2))) (* (pow a 2) (pow b_2 2))) (pow a 2)))) c)))))
(.f64 (-.f64 a (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 (.f64 (.f64 (pow.f64 b_2 #s(literal 4 binary64)) a) #s(literal -3 binary64)) (pow.f64 a #s(literal 5 binary64)))) (/.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 a b_2) (.f64 a b_2))) c) (-.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 (.f64 (pow.f64 b_2 #s(literal 4 binary64)) a) a) (/.f64 #s(literal -3 binary64) a) (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 a b_2) (.f64 a b_2))) #s(literal 2 binary64)) (pow.f64 a #s(literal 5 binary64))))) (.f64 (/.f64 #s(literal 3 binary64) c) (/.f64 (.f64 (.f64 a b_2) (.f64 a b_2)) (pow.f64 a #s(literal 3 binary64)))) (/.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (.f64 a a)) (neg.f64 c))) (neg.f64 (fma.f64 (/.f64 (.f64 (pow.f64 b_2 #s(literal 4 binary64)) a) a) (/.f64 #s(literal -3 binary64) a) (/.f64 (pow.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 a b_2) (.f64 a b_2))) #s(literal 2 binary64)) (pow.f64 a #s(literal 5 binary64))))))) c) #s(literal -1 binary64) (/.f64 (.f64 #s(literal 3 binary64) (.f64 (.f64 a b_2) (.f64 a b_2))) (*.f64 a a))) c)) (neg.f64 c))

rewrite166.0ms (2.2%)

Memory

17.0MiB live, 181.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	350
0	84	350
1	308	331
2	2220	331
0	8567	331

Stop Event

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

Counts

23 → 769

Calls

Call 1

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

Outputs
(.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (pow.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (pow.f64 (fma.f64 b_2 b_2 (+.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 b_2 b_2 (+.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (.f64 b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))))) (+.f64 (pow.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (.f64 b_2 b_2))) (neg.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) (neg.f64 b_2))))
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64)))) (/.f64 (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 4 binary64))) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 b_2 #s(literal 16 binary64)) (+.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)))) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 8 binary64)) (+.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)))) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 b_2 #s(literal 24 binary64)) (+.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 8 binary64))) (pow.f64 b_2 #s(literal 16 binary64)))) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 12 binary64)) (+.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 8 binary64))) (pow.f64 b_2 #s(literal 16 binary64)))) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3 binary64))))
(-.f64 (.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal -3 binary64))) (.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -3 binary64))))
(fabs.f64 (.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal -3 binary64)) (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (*.f64 c a) #s(literal 4 binary64)))))
(+.f64 (.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal -3 binary64))) (neg.f64 (.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -3 binary64)))))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64)) (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (*.f64 c a) #s(literal 4 binary64)))) #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64)) (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (*.f64 c a) #s(literal 4 binary64))))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal -3/2 binary64)) (sqrt.f64 (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 4 binary64)))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal -3 binary64)) (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 4 binary64))))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal -3 binary64)) (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (*.f64 c a) #s(literal 4 binary64))))))
(.f64 (+.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (.f64 c a) #s(literal 2 binary64))) (-.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))
(.f64 (-.f64 (pow.f64 b_2 #s(literal 16 binary64)) (pow.f64 (.f64 c a) #s(literal 8 binary64))) (pow.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 b_2 #s(literal 24 binary64)) (pow.f64 (.f64 c a) #s(literal 12 binary64))) (pow.f64 (+.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 8 binary64))) (pow.f64 b_2 #s(literal 16 binary64))) #s(literal -1 binary64)))
(.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (*.f64 c a) #s(literal 4 binary64)))))
(pow.f64 (.f64 (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 4 binary64))) (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (*.f64 c a) #s(literal 4 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64))) (-.f64 (pow.f64 b_2 #s(literal 16 binary64)) (pow.f64 (.f64 c a) #s(literal 8 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 8 binary64))) (pow.f64 b_2 #s(literal 16 binary64))) (-.f64 (pow.f64 b_2 #s(literal 24 binary64)) (pow.f64 (*.f64 c a) #s(literal 12 binary64)))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (*.f64 c a) #s(literal 4 binary64)))) #s(literal 2 binary64))
(pow.f64 (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (*.f64 c a) #s(literal 4 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 b_2 #s(literal 16 binary64)) (pow.f64 (.f64 c a) #s(literal 8 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 b_2 #s(literal 24 binary64)) (pow.f64 (.f64 c a) #s(literal 12 binary64))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (*.f64 c a) #s(literal 8 binary64))) (pow.f64 b_2 #s(literal 16 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 b_2 #s(literal 16 binary64)) (+.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)))) (.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64))) (pow.f64 (.f64 c a) #s(literal 8 binary64)))) (.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64))) (+.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 b_2 #s(literal 24 binary64)) (+.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 8 binary64))) (pow.f64 b_2 #s(literal 16 binary64)))) (.f64 (+.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 8 binary64))) (pow.f64 b_2 #s(literal 16 binary64))) (pow.f64 (.f64 c a) #s(literal 12 binary64)))) (.f64 (+.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 8 binary64))) (pow.f64 b_2 #s(literal 16 binary64))) (+.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 8 binary64))) (pow.f64 b_2 #s(literal 16 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 #s(literal 16 binary64)) (pow.f64 (.f64 c a) #s(literal 8 binary64)))) (neg.f64 (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (neg.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 #s(literal 16 binary64)) (pow.f64 (.f64 c a) #s(literal 8 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 #s(literal 24 binary64)) (pow.f64 (.f64 c a) #s(literal 12 binary64)))) (neg.f64 (+.f64 (pow.f64 b_2 #s(literal 16 binary64)) (-.f64 (pow.f64 (.f64 c a) #s(literal 8 binary64)) (.f64 (pow.f64 b_2 #s(literal 8 binary64)) (neg.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b_2 #s(literal 24 binary64)) (pow.f64 (.f64 c a) #s(literal 12 binary64)))) (neg.f64 (+.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (*.f64 c a) #s(literal 8 binary64))) (pow.f64 b_2 #s(literal 16 binary64)))))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 16 binary64)) (pow.f64 (.f64 c a) #s(literal 8 binary64))) (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (neg.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 16 binary64)) (pow.f64 (.f64 c a) #s(literal 8 binary64))) (+.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64))) (-.f64 (pow.f64 b_2 #s(literal 16 binary64)) (pow.f64 (.f64 c a) #s(literal 8 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 8 binary64))) (pow.f64 b_2 #s(literal 16 binary64))) (-.f64 (pow.f64 b_2 #s(literal 24 binary64)) (pow.f64 (*.f64 c a) #s(literal 12 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64))) (-.f64 (pow.f64 b_2 #s(literal 16 binary64)) (pow.f64 (.f64 c a) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 8 binary64))) (pow.f64 b_2 #s(literal 16 binary64))) (-.f64 (pow.f64 b_2 #s(literal 24 binary64)) (pow.f64 (*.f64 c a) #s(literal 12 binary64)))))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 24 binary64)) (pow.f64 (.f64 c a) #s(literal 12 binary64))) (+.f64 (pow.f64 b_2 #s(literal 16 binary64)) (-.f64 (pow.f64 (.f64 c a) #s(literal 8 binary64)) (.f64 (pow.f64 b_2 #s(literal 8 binary64)) (neg.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)))))))
(/.f64 (-.f64 (pow.f64 b_2 #s(literal 24 binary64)) (pow.f64 (.f64 c a) #s(literal 12 binary64))) (+.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (*.f64 c a) #s(literal 8 binary64))) (pow.f64 b_2 #s(literal 16 binary64))))
(fma.f64 (pow.f64 (.f64 (neg.f64 b_2) #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 4 binary64)) (neg.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64))))
(fma.f64 (neg.f64 (pow.f64 c #s(literal 4 binary64))) (pow.f64 a #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (.f64 b_2 (neg.f64 b_2)) #s(literal 4 binary64)) (neg.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 b_2 #s(literal 8 binary64)) (neg.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64))))
(fma.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64))))
(fma.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64)) (neg.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64))) (pow.f64 b_2 #s(literal 8 binary64)))
(fma.f64 (pow.f64 b_2 #s(literal 6 binary64)) (.f64 b_2 b_2) (neg.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64))))
(fma.f64 (neg.f64 (pow.f64 (.f64 c a) #s(literal 2 binary64))) (pow.f64 (.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 8 binary64)))
(fma.f64 (pow.f64 c #s(literal 4 binary64)) (neg.f64 (pow.f64 a #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 8 binary64)))
(fma.f64 (.f64 b_2 b_2) (pow.f64 b_2 #s(literal 6 binary64)) (neg.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64))))
(sqrt.f64 (.f64 (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 4 binary64))) (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (*.f64 c a) #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 16 binary64)) (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (neg.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64))))) (/.f64 (pow.f64 (.f64 c a) #s(literal 8 binary64)) (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (neg.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 16 binary64)) (+.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)))) (/.f64 (pow.f64 (.f64 c a) #s(literal 8 binary64)) (+.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)))))
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 24 binary64)) (+.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 8 binary64))) (pow.f64 b_2 #s(literal 16 binary64)))) (/.f64 (pow.f64 (.f64 c a) #s(literal 12 binary64)) (+.f64 (fma.f64 (pow.f64 (.f64 c a) #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (*.f64 c a) #s(literal 8 binary64))) (pow.f64 b_2 #s(literal 16 binary64)))))
(-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (*.f64 c a) #s(literal 4 binary64)))
(+.f64 (neg.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 8 binary64)))
(+.f64 (pow.f64 b_2 #s(literal 8 binary64)) (neg.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64))))

eval170.0ms (2.3%)

Memory: -4.2MiB live, 230.8MiB allocated
Compiler: Compiled 46 109 to 5 014 computations (89.1% saved)

prune32.0ms (0.4%)

Memory

-3.0MiB live, 74.2MiB allocated

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	985	13	998
Fresh	6	3	9
Picked	4	1	5
Done	0	1	1
Total	995	18	1 013

Accuracy

94.0%

Counts

1 013 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.0%	(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))))
▶	37.5%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) a)
✓	58.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
▶	10.4%	(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64) b_2))) a)
▶	36.6%	(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (pow.f64 a #s(literal -1 binary64))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))
	24.8%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 (.f64 c a) c) a) b_2) (.f64 (*.f64 c a) #s(literal -1/2 binary64))) b_2)) a)
	21.5%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* (* c c) a) a) b_2)) (* (* c a) -1/2)) (.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 a a) c) b_2) (.f64 #s(literal -1/2 binary64) a)) c)) b_2)) a)
	24.9%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
	34.9%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
	37.4%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2)))
	36.6%	(.f64 (pow.f64 (/.f64 a (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) #s(literal -1 binary64)))
	37.5%	(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) #s(literal -1 binary64)))
▶	29.9%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (*.f64 #s(literal -1/2 binary64) c)) b_2))
	33.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
	32.2%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (fma.f64 (.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) c))
✓	33.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
	16.2%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
▶	33.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))

Compiler

Compiled 898 to 578 computations (35.6% saved)

simplify166.0ms (2.2%)

Memory

-7.0MiB live, 113.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 b_2 b_2)
cost-diff	0	(-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
cost-diff	1	(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (pow.f64 a #s(literal -1 binary64))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))
cost-diff	2	(.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) (pow.f64 a #s(literal -1 binary64)))
cost-diff	0	(/.f64 #s(literal -1/8 binary64) b_2)
cost-diff	0	(/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (*.f64 #s(literal -1/2 binary64) c)) b_2)
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (*.f64 #s(literal -1/2 binary64) c)) b_2))
cost-diff	2	(fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (*.f64 #s(literal -1/2 binary64) c))
cost-diff	0	#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64) b_2))
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64) b_2))) a)
cost-diff	1	(+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64) b_2)))
cost-diff	0	(/.f64 #s(literal -1/2 binary64) b_2)
cost-diff	0	(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
cost-diff	0	#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))
cost-diff	0	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
cost-diff	0	(-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2)
cost-diff	0	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) a)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	395
0	71	395
1	116	391
2	208	387
3	442	384
4	932	383
5	2143	383
6	3871	383
7	5760	383
8	6872	383
9	7161	383
10	7272	383
11	7313	383
12	7321	383
0	8049	380

Stop Event

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

Calls

Call 1

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

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

localize203.0ms (2.7%)

Memory

0.1MiB live, 193.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	12.39344957408727	(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
accuracy	21.259014348210936	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
accuracy	34.36058082878078	(-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
accuracy	39.62127698422287	#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))
accuracy	1.3717647152720978	(fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (*.f64 #s(literal -1/2 binary64) c))
accuracy	4.278639079012261	(/.f64 (.f64 (.f64 c c) a) b_2)
accuracy	10.342958457661167	(.f64 (.f64 c c) a)
accuracy	42.46679844611951	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (*.f64 #s(literal -1/2 binary64) c)) b_2))
accuracy	2.311494733198276	(/.f64 (*.f64 c a) b_2)
accuracy	3.2728202317665387	(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64) b_2))) a)
accuracy	12.940633172331372	(+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64) b_2)))
accuracy	42.50184427465962	#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64) b_2))
accuracy	0.0	(/.f64 #s(literal -1/2 binary64) b_2)
accuracy	0.21875	(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
accuracy	42.37944588923309	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
accuracy	3.2728202317665387	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) a)
accuracy	12.940633172331372	(-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2)
accuracy	21.259014348210936	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
accuracy	39.62127698422287	#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))

Samples

92.0ms	78×	1	valid
40.0ms	67×	2	valid
28.0ms	95×	0	valid
12.0ms	16×	3	valid

Compiler

Compiled 295 to 38 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

adjust: 56.0ms (43.4% of total)

ival-div: 25.0ms (19.4% of total)

ival-mult: 19.0ms (14.7% of total)

ival-sub: 9.0ms (7% of total)

ival-add: 8.0ms (6.2% of total)

ival-pow: 5.0ms (3.9% of total)

ival-sqrt: 4.0ms (3.1% of total)

ival-neg: 2.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series59.0ms (0.8%)

Memory

-2.8MiB live, 35.0MiB allocated

Counts

23 → 164

Calls

Call 1

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

Outputs
(* -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))))))))
(* -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)))))))))
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))))))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(* -1/2 c)
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))
c
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/16 (/ (pow c 3) (pow b_2 5))) (* a (+ (* -1/32 (/ (pow c 4) (pow b_2 7))) (* -1/128 (/ (pow c 4) (pow b_2 7))))))))))
(* a c)
(/ (* a c) b_2)
(* a (pow c 2))
(/ (* a (pow c 2)) b_2)
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (sqrt (* 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)))
(* 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 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* a (+ (* -1/2 (/ c a)) (* -1/8 (/ (pow c 2) (pow b_2 2)))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (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) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (/ b_2 (pow (sqrt -1) 2))))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (+ (* -1/2 (/ (pow b_2 3) (* a (* c (pow (sqrt -1) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (/ b_2 (pow (sqrt -1) 2))))))) a)
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
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(+ (* -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 (* 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 (* 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)))))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 2))) (* 1/2 (/ c a)))))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))
(* -1 (/ (+ b_2 (* -1 (* (sqrt (* a c)) (sqrt -1)))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1))))) a))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1))))))))) (* -1/2 (/ (* (pow a 2) (pow b_2 3)) c))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))))) a))) a))) a))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
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(+ (* 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 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 (* (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)))))))))
(- (pow b_2 2) (* a c))
(/ -1/2 b_2)
(* -1 b_2)
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 2))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))
(/ -1/8 b_2)
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -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 (pow (sqrt -1) 3)))) (* 1/2 (* (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 (* b_2 (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -1) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* a (pow (sqrt -1) 2))))))
(- (* -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 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)
(/ (+ (* -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)
(* 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)))))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 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))) (+ (* -1/32 (/ (* (pow a 3) (pow c 4)) (pow b_2 6))) (* -1/128 (/ (* (pow a 3) (pow c 4)) (pow b_2 6))))))) b_2)
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -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 (* 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 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (* b_2 (- (+ (* -1 (/ (+ (* -1/8 (* a (pow c 2))) (* 1/4 (* a (pow c 2)))) (pow b_2 4))) (* 2 (/ 1 a))) (* 1/2 (/ c (pow b_2 2))))))
(* -1 (* b_2 (- (+ (* -1 (/ (+ (* -1/4 (* a (* c (+ (* -1/8 (* a (pow c 2))) (* 1/4 (* a (pow c 2))))))) (+ (* -1/16 (* (pow a 2) (pow c 3))) (* 2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b_2 6))) (* 2 (/ 1 a))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/4 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))))))
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2))
(* 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))))
(* 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)))))))))
(+ 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))))))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/16 (/ (pow a 2) (pow b_2 5))) (* c (+ (* -1/32 (/ (pow a 3) (pow b_2 7))) (* -1/128 (/ (pow a 3) (pow b_2 7))))))))) (* 1/2 (/ 1 b_2))))
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(* 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))))))
(* 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)))
(* 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))))))
(* c (- (/ (pow b_2 2) c) a))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (pow c 2)))) (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))))
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (sqrt -1)))) (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* (pow a 2) (pow (sqrt -1) 4))))) (pow c 3)))) (+ (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))
(* 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 (* 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 (* 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 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) (* -1 (/ (* b_2 c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1))))))))) (* -1/2 (/ (* (pow b_2 3) c) (pow a 2)))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))))) c)) (* -1 (/ (* b_2 c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	c	@	-inf	((/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* c (/ -1/2 b_2)) (/ -1/2 b_2) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) b_2) (/ -1/8 b_2) (* (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (pow a -1)) (/ (* (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (pow a -1)) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (/ (* c a) b_2) (* (* c c) a) (/ (* (* c c) a) b_2) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))
5.0ms	b_2	@	-inf	((/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* c (/ -1/2 b_2)) (/ -1/2 b_2) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) b_2) (/ -1/8 b_2) (* (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (pow a -1)) (/ (* (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (pow a -1)) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (/ (* c a) b_2) (* (* c c) a) (/ (* (* c c) a) b_2) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))
4.0ms	c	@	inf	((/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* c (/ -1/2 b_2)) (/ -1/2 b_2) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) b_2) (/ -1/8 b_2) (* (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (pow a -1)) (/ (* (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (pow a -1)) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (/ (* c a) b_2) (* (* c c) a) (/ (* (* c c) a) b_2) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))
4.0ms	a	@	-inf	((/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* c (/ -1/2 b_2)) (/ -1/2 b_2) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) b_2) (/ -1/8 b_2) (* (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (pow a -1)) (/ (* (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (pow a -1)) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (/ (* c a) b_2) (* (* c c) a) (/ (* (* c c) a) b_2) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))
4.0ms	b_2	@	0	((/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* c (/ -1/2 b_2)) (/ -1/2 b_2) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) b_2) (/ -1/8 b_2) (* (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (pow a -1)) (/ (* (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (pow a -1)) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (/ (* c a) b_2) (* (* c c) a) (/ (* (* c c) a) b_2) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))

simplify179.0ms (2.4%)

Memory

40.9MiB live, 191.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	876	4829
1	2862	4646
0	8843	4446

Stop Event

1×	iter limit
1×	node limit

Counts

164 → 162

Calls

Call 1

Inputs
(* -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))))))))
(* -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)))))))))
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))))))))
(pow b_2 2)
(+ (* -1 (* a c)) (pow b_2 2))
(* -1/2 c)
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))
c
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/16 (/ (pow c 3) (pow b_2 5))) (* a (+ (* -1/32 (/ (pow c 4) (pow b_2 7))) (* -1/128 (/ (pow c 4) (pow b_2 7))))))))))
(* a c)
(/ (* a c) b_2)
(* a (pow c 2))
(/ (* a (pow c 2)) b_2)
(* -2 b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* (sqrt (* 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)))
(* 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 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))
(* a (+ (* -1/2 (/ c a)) (* -1/8 (/ (pow c 2) (pow b_2 2)))))
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))
(* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3)))))
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1))))
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (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) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (/ b_2 (pow (sqrt -1) 2))))) a)
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (+ (* -1/2 (/ (pow b_2 3) (* a (* c (pow (sqrt -1) 4))))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (/ b_2 (pow (sqrt -1) 2))))))) a)
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* a (- (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))))
(* -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 (* 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 (* 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)))))))
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 2))) (* 1/2 (/ c a)))))
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2))))))
(* -1 (/ (+ b_2 (* -1 (* (sqrt (* a c)) (sqrt -1)))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1))))) a))) a))) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (* a b_2)) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1))))))))) (* -1/2 (/ (* (pow a 2) (pow b_2 3)) c))) a)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (* (pow b_2 2) (sqrt -1)))))) a))) a))) a))
(* -1 (* a (- (/ b_2 a) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))
(+ (* 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 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 (* (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)))))))))
(- (pow b_2 2) (* a c))
(/ -1/2 b_2)
(* -1 b_2)
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 2))
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3))
(/ -1/8 b_2)
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -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 (pow (sqrt -1) 3)))) (* 1/2 (* (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 (* b_2 (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -1) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* a (pow (sqrt -1) 2))))))
(- (* -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 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)
(/ (+ (* -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)
(* 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)))))))
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 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))) (+ (* -1/32 (/ (* (pow a 3) (pow c 4)) (pow b_2 6))) (* -1/128 (/ (* (pow a 3) (pow c 4)) (pow b_2 6))))))) b_2)
(* b_2 (- (* 1/2 (/ (* a c) (pow b_2 2))) 2))
(* b_2 (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* b_2 (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))) (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -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 (* 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 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (* b_2 (- (+ (* -1 (/ (+ (* -1/8 (* a (pow c 2))) (* 1/4 (* a (pow c 2)))) (pow b_2 4))) (* 2 (/ 1 a))) (* 1/2 (/ c (pow b_2 2))))))
(* -1 (* b_2 (- (+ (* -1 (/ (+ (* -1/4 (* a (* c (+ (* -1/8 (* a (pow c 2))) (* 1/4 (* a (pow c 2))))))) (+ (* -1/16 (* (pow a 2) (pow c 3))) (* 2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b_2 6))) (* 2 (/ 1 a))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* 1/4 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))))))
(* -1 (/ (- (* 1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/2 (* a c))) b_2))
(* -1 (/ (- (* 1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))) (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))))) b_2))
(* -1 (/ (- (* 1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2))
(* 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))))
(* 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)))))))))
(+ 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))))))))
(* c (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2))
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/16 (/ (pow a 2) (pow b_2 5))) (* c (+ (* -1/32 (/ (pow a 3) (pow b_2 7))) (* -1/128 (/ (pow a 3) (pow b_2 7))))))))) (* 1/2 (/ 1 b_2))))
(- (* c (- (* 1/8 (/ (* (pow a 2) c) (pow b_2 3))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(- (* c (- (* c (- (* 1/16 (/ (* (pow a 3) c) (pow b_2 5))) (* -1/8 (/ (pow a 2) (pow b_2 3))))) (* -1/2 (/ a b_2)))) (* 2 b_2))
(* 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))))))
(* 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)))
(* 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))))))
(* c (- (/ (pow b_2 2) c) a))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c))))
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c)))))
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (pow c 2)))) (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))))
(- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (sqrt -1)))) (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* (pow a 2) (pow (sqrt -1) 4))))) (pow c 3)))) (+ (* -1 (/ b_2 (* a (pow (sqrt -1) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))
(* 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 (* 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 (* 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 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) (* -1 (/ (* b_2 c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1))))))))) (* -1/2 (/ (* (pow b_2 3) c) (pow a 2)))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))))) c)) (* -1 (/ (* b_2 c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))

Outputs
(* -1/2 (/ c b_2))
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))
(fma.f64 (.f64 a #s(literal -1/8 binary64)) (/.f64 (.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -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 (fma.f64 (.f64 a #s(literal -1/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(+ (* -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))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (.f64 #s(literal 5/64 binary64) a)) b_2) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(* -1/2 (/ (* a c) b_2))
(.f64 (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))
(.f64 (fma.f64 (.f64 a #s(literal -1/8 binary64)) (/.f64 (.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
(* 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 (fma.f64 (fma.f64 (.f64 a #s(literal -1/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
(* 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 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (.f64 #s(literal 5/64 binary64) a)) b_2) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a)
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 c b_2) b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
(fma.f64 (fma.f64 (.f64 a #s(literal -1/8 binary64)) (/.f64 (.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a 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 (fma.f64 (fma.f64 (.f64 a #s(literal -1/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a b_2)
(pow b_2 2)
(*.f64 b_2 b_2)
(+ (* -1 (* a c)) (pow b_2 2))
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
(* -1/2 c)
(*.f64 #s(literal -1/2 binary64) c)
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))))
(fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) a) b_2) (/.f64 (.f64 c c) b_2) (*.f64 #s(literal -1/2 binary64) c))
c
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/16 (/ (pow c 3) (pow b_2 5))) (* a (+ (* -1/32 (/ (pow c 4) (pow b_2 7))) (* -1/128 (/ (pow c 4) (pow b_2 7))))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 7 binary64))) (.f64 #s(literal -5/128 binary64) a) (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (.f64 #s(literal -1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(* a c)
(*.f64 c a)
(/ (* a c) b_2)
(*.f64 a (/.f64 c b_2))
(* a (pow c 2))
(.f64 (.f64 c c) a)
(/ (* a (pow c 2)) b_2)
(/.f64 (.f64 (.f64 c c) a) b_2)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(fma.f64 (.f64 #s(literal 1/2 binary64) a) (/.f64 c b_2) (.f64 #s(literal -2 binary64) b_2))
(- (* a (- (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(fma.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) a) (/.f64 (.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) a (.f64 #s(literal -2 binary64) b_2))
(- (* a (- (* a (- (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) (* -1/2 (/ c b_2)))) (* 2 b_2))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (.f64 #s(literal 1/8 binary64) (.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) a (*.f64 #s(literal -2 binary64) b_2))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b_2) a))
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(fma.f64 (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b_2) a)))
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b_2) a))))
(* (sqrt (* a c)) (sqrt -1))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b_2) a)) a)
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(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64)) (neg.f64 b_2)) (neg.f64 c))) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b_2 #s(literal 4 binary64))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 c a)) (.f64 b_2 b_2)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (neg.f64 c)) b_2) (neg.f64 c))) (neg.f64 c))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b_2 b_2)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 c))
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b_2 b_2)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 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 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (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)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b_2 b_2)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 c))
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))
(.f64 (-.f64 (/.f64 (.f64 b_2 b_2) c) a) c)
(+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) (* -1 (/ (* b_2 c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (.f64 b_2 b_2)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64)) (.f64 b_2 (/.f64 c a))) (neg.f64 c)))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1))))))))) (* -1/2 (/ (* (pow b_2 3) c) (pow a 2)))) (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 2) (sqrt -1)))))) c)) (* -1 (/ (* b_2 c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) #s(literal -1/2 binary64)) (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) a) (/.f64 c a)) (.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2))))) c) #s(literal -1 binary64) (*.f64 b_2 (/.f64 c a))) (neg.f64 c)))
(* -1 (* c (- (/ b_2 c) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (-.f64 (/.f64 b_2 c) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 c))
(* -1 (* c (- (* -1 (/ (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (-.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (.f64 b_2 b_2)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (neg.f64 b_2)) (neg.f64 c)) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 c))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))
(.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b_2 #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (.f64 b_2 b_2)) #s(literal -1/2 binary64))) (neg.f64 c)) b_2) (neg.f64 c)) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 c))

rewrite245.0ms (3.3%)

Memory

-5.9MiB live, 245.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	317
0	71	297
1	270	291
2	1993	291
0	8548	291

Stop Event

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

Counts

23 → 807

Calls

Call 1

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

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

eval137.0ms (1.8%)

Memory: 2.6MiB live, 195.2MiB allocated
Compiler: Compiled 43 558 to 3 710 computations (91.5% saved)

prune33.0ms (0.4%)

Memory

-19.0MiB live, 68.1MiB allocated

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	928	9	937
Fresh	4	7	11
Picked	3	2	5
Done	0	2	2
Total	935	20	955

Accuracy

94.0%

Counts

955 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.6%	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) a) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))
	22.2%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) a) (.f64 (/.f64 a (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) b_2)) (.f64 (/.f64 a (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a))
▶	58.3%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))) b_2) a)
✓	37.5%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) a)
	29.6%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))) b_2) a)
	33.0%	(/.f64 (-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (.f64 b_2 b_2)) (.f64 a (+.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2)))
▶	10.4%	(/.f64 (-.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64) b_2)) b_2) a)
✓	58.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
▶	21.5%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* (* c c) a) a) b_2)) (* (* c a) -1/2)) (.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 a a) c) b_2) (.f64 #s(literal -1/2 binary64) a)) c)) b_2)) a)
	24.9%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
▶	34.9%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
	37.4%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2)))
	37.5%	(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) #s(literal -1 binary64)))
▶	28.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 c c) a) (.f64 b_2 (neg.f64 b_2))) (.f64 #s(literal -1/2 binary64) c)) b_2))
	33.6%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)) c)) b_2))
	32.9%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1 binary64) (/.f64 b_2 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 (.f64 c a) b_2) (*.f64 #s(literal -1/2 binary64) c)))))
	33.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
✓	33.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
	16.2%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
✓	33.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))

Compiler

Compiled 956 to 610 computations (36.2% saved)

simplify280.0ms (3.7%)

Memory

12.2MiB live, 175.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* (* c c) a) a) b_2)) (* (* c a) -1/2)) (.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 a a) c) b_2) (.f64 #s(literal -1/2 binary64) a)) c)) b_2)
cost-diff	0	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* (* c c) a) a) b_2)) (* (* c a) -1/2)) (.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 a a) c) b_2) (.f64 #s(literal -1/2 binary64) a)) c)) b_2))
cost-diff	0	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* (* c c) a) a) b_2)) (* (* c a) -1/2)) (.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 a a) c) b_2) (.f64 #s(literal -1/2 binary64) a)) c)) b_2)) a)
cost-diff	2	(fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 a a) c) b_2) (*.f64 #s(literal -1/2 binary64) a))
cost-diff	0	(/.f64 (.f64 (.f64 c c) a) (*.f64 b_2 (neg.f64 b_2)))
cost-diff	0	(/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 c c) a) (.f64 b_2 (neg.f64 b_2))) (.f64 #s(literal -1/2 binary64) c)) b_2)
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 c c) a) (.f64 b_2 (neg.f64 b_2))) (.f64 #s(literal -1/2 binary64) c)) b_2))
cost-diff	3	(fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 c c) a) (.f64 b_2 (neg.f64 b_2))) (.f64 #s(literal -1/2 binary64) c))
cost-diff	0	(fma.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64) b_2)
cost-diff	0	#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64) b_2))
cost-diff	0	(-.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64) b_2)) b_2)
cost-diff	0	(/.f64 (-.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64) b_2)) b_2) a)
cost-diff	0	(*.f64 #s(literal -2 binary64) b_2)
cost-diff	0	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
cost-diff	0	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
cost-diff	0	#s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))
cost-diff	0	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))))
cost-diff	0	(-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))) b_2)
cost-diff	0	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))) b_2) a)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	526
0	93	526
1	161	521
2	332	509
3	943	493
4	2647	493
5	3855	493
6	7682	493
0	8585	480

Stop Event

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

Calls

Call 1

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

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

localize243.0ms (3.3%)

Memory

9.2MiB live, 197.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	3.2728202317665387	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* (* c c) a) a) b_2)) (* (* c a) -1/2)) (.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 a a) c) b_2) (.f64 #s(literal -1/2 binary64) a)) c)) b_2)) a)
accuracy	4.594822440317086	(/.f64 (.f64 (.f64 a a) c) b_2)
accuracy	9.598770278313092	(.f64 (.f64 a a) c)
accuracy	42.48029021793517	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* (* c c) a) a) b_2)) (* (* c a) -1/2)) (.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 a a) c) b_2) (.f64 #s(literal -1/2 binary64) a)) c)) b_2))
accuracy	0.751950782618571	(/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 c c) a) (.f64 b_2 (neg.f64 b_2))) (.f64 #s(literal -1/2 binary64) c)) b_2)
accuracy	10.342958457661167	(.f64 (.f64 c c) a)
accuracy	12.856044012827427	(/.f64 (.f64 (.f64 c c) a) (*.f64 b_2 (neg.f64 b_2)))
accuracy	42.46679844611951	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 c c) a) (.f64 b_2 (neg.f64 b_2))) (.f64 #s(literal -1/2 binary64) c)) b_2))
accuracy	2.311494733198276	(/.f64 (*.f64 c a) b_2)
accuracy	3.2728202317665387	(/.f64 (-.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64) b_2)) b_2) a)
accuracy	12.940633172331372	(-.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64) b_2)) b_2)
accuracy	42.50184427465962	#s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64) b_2))
accuracy	0.0	(*.f64 #s(literal -2 binary64) b_2)
accuracy	3.2728202317665387	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
accuracy	41.788989901648804	#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))
accuracy	0.0078125	(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))
accuracy	3.2728202317665387	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))) b_2) a)
accuracy	12.940633172331372	(-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))) b_2)
accuracy	21.259014348210936	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))))

Samples

131.0ms	178×	0	valid
49.0ms	36×	1	valid
26.0ms	39×	2	valid
2.0ms	3×	3	valid

Compiler

Compiled 337 to 48 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 141.0ms

ival-mult: 74.0ms (52.5% of total)

ival-add: 33.0ms (23.4% of total)

ival-div: 17.0ms (12.1% of total)

adjust: 7.0ms (5% of total)

ival-sub: 4.0ms (2.8% of total)

ival-sqrt: 3.0ms (2.1% of total)

ival-neg: 2.0ms (1.4% of total)

exact: 1.0ms (0.7% of total)

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

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

series75.0ms (1%)

Memory

-22.4MiB live, 51.9MiB allocated

Counts

24 → 140

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
38.0ms	c	@	-inf	((/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (sqrt (- (* b_2 b_2) (* a c))) (+ (* (/ (* c a) b_2) -1/2) b_2) (+ (* 1/8 (/ (* (* c c) a) (* b_2 (neg b_2)))) (* -1/2 c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* 1/8 (/ (* (* c c) a) (* b_2 (neg b_2)))) (* -1/2 c)) b_2) (/ (* (* c c) a) (* b_2 (neg b_2))) (+ (* (/ -1/8 b_2) (/ (* (* a a) c) b_2)) (* -1/2 a)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (* (/ -1/8 b_2) (/ (* (* (* c c) a) a) b_2)) (* (* c a) -1/2)) b_2) (+ (* (neg a) c) (* b_2 b_2)) (/ (* c a) b_2) (* (* c c) a) (* (* a a) c) (/ (* (* a a) c) b_2))
7.0ms	a	@	0	((/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (sqrt (- (* b_2 b_2) (* a c))) (+ (* (/ (* c a) b_2) -1/2) b_2) (+ (* 1/8 (/ (* (* c c) a) (* b_2 (neg b_2)))) (* -1/2 c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* 1/8 (/ (* (* c c) a) (* b_2 (neg b_2)))) (* -1/2 c)) b_2) (/ (* (* c c) a) (* b_2 (neg b_2))) (+ (* (/ -1/8 b_2) (/ (* (* a a) c) b_2)) (* -1/2 a)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (* (/ -1/8 b_2) (/ (* (* (* c c) a) a) b_2)) (* (* c a) -1/2)) b_2) (+ (* (neg a) c) (* b_2 b_2)) (/ (* c a) b_2) (* (* c c) a) (* (* a a) c) (/ (* (* a a) c) b_2))
4.0ms	c	@	inf	((/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (sqrt (- (* b_2 b_2) (* a c))) (+ (* (/ (* c a) b_2) -1/2) b_2) (+ (* 1/8 (/ (* (* c c) a) (* b_2 (neg b_2)))) (* -1/2 c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* 1/8 (/ (* (* c c) a) (* b_2 (neg b_2)))) (* -1/2 c)) b_2) (/ (* (* c c) a) (* b_2 (neg b_2))) (+ (* (/ -1/8 b_2) (/ (* (* a a) c) b_2)) (* -1/2 a)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (* (/ -1/8 b_2) (/ (* (* (* c c) a) a) b_2)) (* (* c a) -1/2)) b_2) (+ (* (neg a) c) (* b_2 b_2)) (/ (* c a) b_2) (* (* c c) a) (* (* a a) c) (/ (* (* a a) c) b_2))
4.0ms	b_2	@	-inf	((/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (sqrt (- (* b_2 b_2) (* a c))) (+ (* (/ (* c a) b_2) -1/2) b_2) (+ (* 1/8 (/ (* (* c c) a) (* b_2 (neg b_2)))) (* -1/2 c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* 1/8 (/ (* (* c c) a) (* b_2 (neg b_2)))) (* -1/2 c)) b_2) (/ (* (* c c) a) (* b_2 (neg b_2))) (+ (* (/ -1/8 b_2) (/ (* (* a a) c) b_2)) (* -1/2 a)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (* (/ -1/8 b_2) (/ (* (* (* c c) a) a) b_2)) (* (* c a) -1/2)) b_2) (+ (* (neg a) c) (* b_2 b_2)) (/ (* c a) b_2) (* (* c c) a) (* (* a a) c) (/ (* (* a a) c) b_2))
4.0ms	a	@	inf	((/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (- (sqrt (- (* b_2 b_2) (* a c))) b_2) a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (sqrt (- (* b_2 b_2) (* a c))) (+ (* (/ (* c a) b_2) -1/2) b_2) (+ (* 1/8 (/ (* (* c c) a) (* b_2 (neg b_2)))) (* -1/2 c)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (+ (* 1/8 (/ (* (* c c) a) (* b_2 (neg b_2)))) (* -1/2 c)) b_2) (/ (* (* c c) a) (* b_2 (neg b_2))) (+ (* (/ -1/8 b_2) (/ (* (* a a) c) b_2)) (* -1/2 a)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (* (/ -1/8 b_2) (/ (* (* (* c c) a) a) b_2)) (* (* c a) -1/2)) b_2) (+ (* (neg a) c) (* b_2 b_2)) (/ (* c a) b_2) (* (* c c) a) (* (* a a) c) (/ (* (* a a) c) b_2))

simplify190.0ms (2.5%)

Memory

32.0MiB live, 306.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	623	3392
1	1972	3358
2	6466	3301
0	8641	3138

Stop Event

1×	iter limit
1×	node limit

Counts

140 → 139

Calls

Call 1

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

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

rewrite287.0ms (3.8%)

Memory

-15.3MiB live, 309.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	425
0	93	425
1	343	414
2	2545	414
0	9261	408

Stop Event

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

Counts

24 → 629

Calls

Call 1

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

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

eval98.0ms (1.3%)

Memory: 8.4MiB live, 165.9MiB allocated
Compiler: Compiled 32 468 to 3 504 computations (89.2% saved)

prune73.0ms (1%)

Memory

-25.7MiB live, 58.6MiB allocated

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	748	8	756
Fresh	2	9	11
Picked	2	3	5
Done	1	3	4
Total	753	23	776

Accuracy

94.0%

Counts

776 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.6%	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) a) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))
	22.2%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) a) (.f64 (/.f64 a (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) b_2)) (.f64 (/.f64 a (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a))
	58.3%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (fma.f64 b_2 b_2 (*.f64 (neg.f64 a) c)))) b_2) a)
✓	37.5%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) a)
	33.0%	(/.f64 (-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (.f64 b_2 b_2)) (.f64 a (+.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2)))
✓	10.4%	(/.f64 (-.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64) b_2)) b_2) a)
	21.2%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* (* c c) a) a) b_2)) (* (* c a) -1/2)) (.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 a a) c) (.f64 b_2 b_2)) (*.f64 #s(literal -1/2 binary64) a)) c)) b_2)) a)
	24.9%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
✓	34.9%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
	37.4%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2)))
	21.2%	(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* (* c c) a) a) b_2)) (* (* c a) -1/2)) (.f64 (fma.f64 (.f64 (.f64 (.f64 a a) c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal -2 binary64)) (*.f64 #s(literal -1/2 binary64) a)) c)) b_2))))
	34.8%	(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
	58.1%	(-.f64 (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))) a) (/.f64 b_2 a))
	34.8%	(.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))
	37.5%	(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) #s(literal -1 binary64)))
	14.1%	(exp.f64 (.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64)))
✓	28.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 c c) a) (.f64 b_2 (neg.f64 b_2))) (.f64 #s(literal -1/2 binary64) c)) b_2))
	33.6%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)) c)) b_2))
	13.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* 1/8 (/ (* (* c c) a) (* b_2 (neg b_2)))) (* -1/2 c)) (/.f64 (.f64 c (fma.f64 (.f64 #s(literal -1/8 binary64) c) a (.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2)))) (*.f64 b_2 b_2))) b_2))
	33.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
✓	33.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
	16.2%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
✓	33.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))

Compiler

Compiled 1 910 to 688 computations (64% saved)

regimes53.0ms (0.7%)

Memory

33.6MiB live, 69.5MiB allocated

Counts

45 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
(/.f64 (-.f64 #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64) b_2)) b_2) a)
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (fma.f64 b_2 b_2 (*.f64 (neg.f64 a) c)))) b_2) a)
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))) b_2) a)
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 c b_2) b_2))) a)
(/.f64 (+.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (fma.f64 (/.f64 (*.f64 c a) b_2) #s(literal -1/2 binary64) b_2))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2)))
(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) #s(literal -1 binary64)))
(-.f64 (/.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)))) a) (/.f64 b_2 a))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)) c)) b_2))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (.f64 c c) a) (.f64 b_2 (neg.f64 b_2))) (.f64 #s(literal -1/2 binary64) c)) b_2))
(/.f64 (-.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)) (.f64 b_2 b_2)) (.f64 a (+.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* 1/8 (/ (* (* c c) a) (* b_2 (neg b_2)))) (* -1/2 c)) (/.f64 (.f64 c (fma.f64 (.f64 #s(literal -1/8 binary64) c) a (.f64 #s(literal -1/2 binary64) (.f64 b_2 b_2)))) (*.f64 b_2 b_2))) b_2))
(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (*.f64 #s(literal -1/2 binary64) c)) b_2))
(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) a) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* (* c c) a) a) b_2)) (* (* c a) -1/2)) (.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 a a) c) (.f64 b_2 b_2)) (*.f64 #s(literal -1/2 binary64) a)) c)) b_2)) a)
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal 1 binary64) (/.f64 b_2 (fma.f64 (/.f64 (.f64 #s(literal -1/8 binary64) c) b_2) (/.f64 (.f64 c a) b_2) (*.f64 #s(literal -1/2 binary64) c)))))
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* (* c c) a) a) b_2)) (* (* c a) -1/2)) (.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 a a) c) b_2) (.f64 #s(literal -1/2 binary64) a)) c)) b_2)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 (.f64 c a) c) a) b_2) (.f64 (*.f64 c a) #s(literal -1/2 binary64))) b_2)) a)
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 (.f64 c c) a) a) b_2) (.f64 (*.f64 c a) #s(literal -1/2 binary64))) b_2)) a)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) a) (.f64 (/.f64 a (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) b_2)) (.f64 (/.f64 a (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a))
(.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (fma.f64 (.f64 c #s(literal -1/8 binary64)) (/.f64 a (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) b_2)) c))
(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (pow.f64 a #s(literal -1 binary64))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/.f64 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* (* c c) a) a) b_2)) (* (* c a) -1/2)) (.f64 (fma.f64 (.f64 (.f64 (.f64 a a) c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal -2 binary64)) (*.f64 #s(literal -1/2 binary64) a)) c)) b_2))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 a (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) #s(literal -1 binary64)))
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (.f64 c a) #s(literal 4 binary64))) (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 3 binary64))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (/.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64)) (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (.f64 (fma.f64 c a (.f64 b_2 b_2)) (+.f64 (pow.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a)) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 8 binary64))))))) a)
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (pow.f64 (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1 binary64)))))) a)

Outputs

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

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

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

Calls

4 calls:

16.0ms	c
12.0ms	b_2
12.0ms	a
11.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
58.3%	1	`a`
87.2%	3	`b_2`
61.8%	3	`c`
78.4%	5	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes9.0ms (0.1%)

Memory

-25.4MiB live, 11.1MiB allocated

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

8.0ms

b_2

Results

Accuracy	Segments	Branch
87.1%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

16 → 3

Calls

Call 1

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

Outputs

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

(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (fma.f64 b_2 b_2 (*.f64 (neg.f64 a) c)))) b_2) a)

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

Calls

1 calls:

5.0ms

b_2

Results

Accuracy	Segments	Branch
87.1%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory

10.6MiB live, 10.6MiB allocated

Counts

12 → 3

Calls

Call 1

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

Outputs

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

(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) a)

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

Calls

1 calls:

4.0ms

b_2

Results

Accuracy	Segments	Branch
82.9%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.1%)

Memory

-27.0MiB live, 11.9MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
49.5%	3	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
65.9%	2	`b_2`

Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes6.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

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
33.8%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
33.8%	1	`a`
33.8%	1	`c`
33.8%	1	`b_2`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes5.0ms (0.1%)

Memory

12.2MiB live, 12.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

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
33.7%	1	`a`
33.7%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
33.7%	1	`b_2`
33.7%	1	`c`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch85.0ms (1.1%)

Memory

-32.8MiB live, 36.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
72.0ms	504215.9407466181	7228097696858537.0
8.0ms	-2.6612015628309153e+153	-3.0314641554593803e+140

Samples

31.0ms	52×	1	valid
9.0ms	137×	0	valid
8.0ms	47×	2	valid
1.0ms	17×	0	invalid
1.0ms	4×	3	valid

Compiler

Compiled 736 to 551 computations (25.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

adjust: 27.0ms (63.9% of total)

ival-mult: 4.0ms (9.5% of total)

ival-div: 3.0ms (7.1% of total)

ival-sqrt: 3.0ms (7.1% of total)

ival-sub: 2.0ms (4.7% of total)

ival-add: 2.0ms (4.7% of total)

ival-neg: 1.0ms (2.4% of total)

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

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

bsearch2.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
1.0ms	504215.9407466181	7228097696858537.0
1.0ms	-2.6612015628309153e+153	-3.0314641554593803e+140

Compiler

Compiled 486 to 401 computations (17.5% saved)

bsearch2.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
1.0ms	504215.9407466181	7228097696858537.0
1.0ms	-2.6612015628309153e+153	-3.0314641554593803e+140

Compiler

Compiled 591 to 446 computations (24.5% saved)

bsearch12.0ms (0.2%)

Memory

7.6MiB live, 7.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	504215.9407466181	7228097696858537.0
10.0ms	-1.1047821855050186e-38	-4.328503215996763e-39

Samples

5.0ms	80×	0	valid
1.0ms	13×	0	invalid

Compiler

Compiled 546 to 431 computations (21.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 1.0ms (26.1% of total)

ival-mult: 1.0ms (26.1% of total)

ival-sqrt: 1.0ms (26.1% of total)

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

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

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

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

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

bsearch52.0ms (0.7%)

Memory

2.1MiB live, 39.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
48.0ms	-3.2352367779102595e-302	3.642363985987153e-290

Samples

32.0ms	176×	0	valid
7.0ms	99×	0	invalid

Compiler

Compiled 412 to 335 computations (18.7% saved)

Precisions

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

ival-mult: 3.0ms (26.5% of total)

ival-div: 2.0ms (17.7% of total)

ival-sqrt: 2.0ms (17.7% of total)

ival-sub: 1.0ms (8.8% of total)

ival-add: 1.0ms (8.8% of total)

ival-neg: 1.0ms (8.8% of total)

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

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

simplify69.0ms (0.9%)

Memory

-4.4MiB live, 69.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	342
1	104	330
2	155	330
3	280	328
4	459	328
5	678	328
6	1320	328
7	2750	328

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -99999999999999993363366729972462242111019694317846182578926003895619873650143420259298512453325054533017777074930382791057905692427399713177731072 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 510000 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)) c)) b_2))))
(if (<=.f64 b_2 #s(literal -99999999999999993363366729972462242111019694317846182578926003895619873650143420259298512453325054533017777074930382791057905692427399713177731072 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 510000 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -99999999999999993363366729972462242111019694317846182578926003895619873650143420259298512453325054533017777074930382791057905692427399713177731072 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 510000 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (fma.f64 b_2 b_2 (.f64 (neg.f64 a) c)))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -5976732609376967/766247770432944429179173513575154591809369561091801088 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 510000 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))

Outputs
(if (<=.f64 b_2 #s(literal -99999999999999993363366729972462242111019694317846182578926003895619873650143420259298512453325054533017777074930382791057905692427399713177731072 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 510000 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (/.f64 #s(approx (+ (* (/ -1/8 b_2) (/ (* (* c c) a) b_2)) (* -1/2 c)) (.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)) c)) b_2))))
(if (<=.f64 b_2 #s(literal -99999999999999993363366729972462242111019694317846182578926003895619873650143420259298512453325054533017777074930382791057905692427399713177731072 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 510000 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -99999999999999993363366729972462242111019694317846182578926003895619873650143420259298512453325054533017777074930382791057905692427399713177731072 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 510000 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (fma.f64 b_2 b_2 (.f64 (neg.f64 a) c)))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -5976732609376967/766247770432944429179173513575154591809369561091801088 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 510000 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -2 binary64) b_2)) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))

soundness758.0ms (10.2%)

Memory

-13.9MiB live, 426.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	876	4829
1	2862	4646
0	8843	4446
0	59	425
0	93	425
1	343	414
2	2545	414
0	9261	408
0	51	350
0	84	350
1	308	331
2	2220	331
0	8567	331
0	508	2832
1	1606	2798
2	5550	2747
0	8048	2611

Stop Event

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

Compiler

Compiled 554 to 238 computations (57% saved)

preprocess107.0ms (1.4%)

Memory: 11.6MiB live, 92.3MiB allocated
Compiler: Compiled 888 to 218 computations (75.5% 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	322	48
7	475	48
8	828	48
9	942	48
10	974	48
11	985	48
12	986	48
0	986	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	322	48
7	475	48
8	828	48
9	942	48
10	974	48
11	985	48
12	986	48
0	986	48

start0.0ms (0%)

analyze114.0ms (1.5%)

sample1.8s (23.5%)

explain191.0ms (2.6%)

preprocess110.0ms (1.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify27.0ms (0.4%)

localize52.0ms (0.7%)

series22.0ms (0.3%)

simplify185.0ms (2.5%)

rewrite131.0ms (1.8%)

eval63.0ms (0.8%)

prune22.0ms (0.3%)

simplify173.0ms (2.3%)

localize476.0ms (6.4%)

series128.0ms (1.7%)

simplify202.0ms (2.7%)

rewrite166.0ms (2.2%)

eval170.0ms (2.3%)

prune32.0ms (0.4%)

simplify166.0ms (2.2%)

localize203.0ms (2.7%)

series59.0ms (0.8%)

simplify179.0ms (2.4%)

rewrite245.0ms (3.3%)

eval137.0ms (1.8%)

prune33.0ms (0.4%)

simplify280.0ms (3.7%)

localize243.0ms (3.3%)

series75.0ms (1%)

simplify190.0ms (2.5%)

rewrite287.0ms (3.8%)

eval98.0ms (1.3%)

prune73.0ms (1%)

regimes53.0ms (0.7%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch85.0ms (1.1%)

bsearch2.0ms (0%)

bsearch2.0ms (0%)

bsearch12.0ms (0.2%)

bsearch52.0ms (0.7%)

simplify69.0ms (0.9%)

soundness758.0ms (10.2%)

preprocess107.0ms (1.4%)

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	322	48
7	475	48
8	828	48
9	942	48
10	974	48
11	985	48
12	986	48
0	986	48