Metrics for quad2m (problem 3.2.1, negative)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze134.0ms (1.7%)

Memory

-8.1MiB live, 119.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 12 computations (20% saved)

sample1.9s (24.7%)

Memory

37.4MiB live, 1 788.1MiB allocated

Samples

585.0ms	5 538×	0	valid
449.0ms	1 327×	1	valid
312.0ms	1 211×	2	valid
79.0ms	1 125×	0	invalid
45.0ms	180×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-sub: 452.0ms (44.4% of total)

ival-mult: 204.0ms (20.1% of total)

ival-div: 107.0ms (10.5% of total)

ival-sqrt: 105.0ms (10.3% of total)

adjust: 85.0ms (8.4% of total)

ival-neg: 53.0ms (5.2% of total)

ival-true: 7.0ms (0.7% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain204.0ms (2.6%)

Memory

-11.6MiB live, 156.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
103	-	-	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
53	-	-	`(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
23	-	-	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
2	-	-	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`
0	-	-	`(*.f64 b_2 b_2)`
0	-	-	`a`
0	-	-	`(neg.f64 b_2)`
0	-	-	`b_2`
0	-	-	`(*.f64 a c)`
0	-	-	`c`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	oflow-rescue	101	0
↳	`(*.f64 b_2 b_2)`	overflow	85
↳	`(*.f64 a c)`	overflow	24
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	overflow	101
`-.f64`	`(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	cancellation	53	0
`/.f64`	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`	u/n	23	0
↳	`(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	underflow	32
↳	`(*.f64 b_2 b_2)`	underflow	39
↳	`(*.f64 a c)`	underflow	32
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	2
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	uflow-rescue	2	0
↳	`(*.f64 b_2 b_2)`	underflow	39
↳	`(*.f64 a c)`	underflow	32
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	2
`-.f64`	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	nan-rescue	2	0
↳	`(*.f64 b_2 b_2)`	overflow	85
↳	`(*.f64 a c)`	overflow	24

Confusion

	Predicted +	Predicted -
+	130	0
-	16	110

Precision

0.8904109589041096

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	130	0	0
-	16	0	110

Precision?

0.8904109589041096

Recall?

1.0

Freqs

test

number	freq
0	110
1	111
2	35

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

33.0ms	344×	0	valid
19.0ms	92×	2	valid
10.0ms	68×	1	valid
2.0ms	8×	3	valid

Compiler

Compiled 117 to 34 computations (70.9% saved)

Precisions

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

ival-sub: 8.0ms (22.3% of total)

ival-mult: 8.0ms (22.3% of total)

ival-sqrt: 7.0ms (19.5% of total)

ival-div: 6.0ms (16.7% of total)

adjust: 5.0ms (13.9% of total)

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

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

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

preprocess111.0ms (1.4%)

Memory

-15.0MiB live, 59.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	118
1	142	118
2	354	113
3	1079	113
4	2501	113
5	3333	113
6	3404	113
7	3526	113
8	3618	113
9	3618	113
10	3618	113
0	10	13
0	17	13
1	32	13
2	59	13
3	121	13
4	200	13
5	356	13
6	620	13
7	743	13
8	848	13
9	865	13
10	866	13
0	866	13

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 (neg.f64 b_2) (sqrt.f64 (fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)))) a)

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.4%	(/.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)

simplify23.0ms (0.3%)

Memory

28.5MiB live, 28.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	50
0	17	50
1	32	50
2	59	50
3	121	50
4	200	50
5	356	50
6	620	50
7	743	50
8	848	50
9	865	50
10	866	50
0	866	50

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

localize53.0ms (0.7%)

Memory

-28.4MiB live, 55.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.39843750000000006	(-.f64 (.f64 b_2 b_2) (.f64 a c))
accuracy	5.451134085897187	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
accuracy	12.291126715041324	(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
accuracy	24.00782797463376	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Samples

21.0ms	46×	2	valid
17.0ms	172×	0	valid
5.0ms	34×	1	valid
3.0ms	4×	3	valid

Compiler

Compiled 52 to 12 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

adjust: 11.0ms (35.9% of total)

ival-sqrt: 8.0ms (26.1% of total)

ival-sub: 4.0ms (13.1% of total)

ival-mult: 4.0ms (13.1% of total)

ival-div: 3.0ms (9.8% of total)

ival-neg: 1.0ms (3.3% of total)

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

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

series23.0ms (0.3%)

Memory

-6.3MiB live, 30.4MiB allocated

Counts

5 → 97

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

Outputs
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(* -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))
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 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* -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)))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -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))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -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)))))
(* -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 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 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)))
(* -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))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(* 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)))))))
(* 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 b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 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))))))) b_2))
(* -1/2 (/ (* a c) b_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))
(* -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))))))))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 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))
(+ 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 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (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)))))
(* 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 (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(* -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)))))
(* -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	c	@	-inf	((/ (- (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))) (- (* b_2 b_2) (* a c)))
3.0ms	a	@	inf	((/ (- (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))) (- (* b_2 b_2) (* a c)))
2.0ms	a	@	-inf	((/ (- (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))) (- (* b_2 b_2) (* a c)))
2.0ms	b_2	@	-inf	((/ (- (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))) (- (* b_2 b_2) (* a c)))
2.0ms	c	@	inf	((/ (- (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))) (- (* b_2 b_2) (* a c)))

simplify165.0ms (2.1%)

Memory

6.5MiB live, 201.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	528	2732
1	1657	2699
2	5611	2679
0	8218	2554

Stop Event

1×	iter limit
1×	node limit

Counts

97 → 96

Calls

Call 1

Inputs
(* -2 (/ b_2 a))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(* -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))
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 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1))))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (/ b_2 a)) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))))))
(* -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)))))
(* (sqrt (* a c)) (sqrt -1))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a c))
(* a (- (/ (pow b_2 2) a) c))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ b_2 (* -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))) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -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)))))
(* -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 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* b_2 (- (* b_2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (/ 1 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)))
(* -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))
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2)))) (* 2 (/ 1 a))))
(* b_2 (- (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 1/2 (/ c (pow b_2 2))))) (* 2 (/ 1 a))))
(* 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)))))))
(* 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 b_2))
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c))) b_2))
(* -1 (/ (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))) (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 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))))))) b_2))
(* -1/2 (/ (* a c) b_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))
(* -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))))))))
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2)))
(+ (* -2 (/ b_2 a)) (* c (+ (* 1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))))
(+ (* -2 (/ b_2 a)) (* c (+ (* c (+ (* 1/16 (/ (* (pow a 2) c) (pow b_2 5))) (* 1/8 (/ a (pow b_2 3))))) (* 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))
(+ 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 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ b_2 (* a c)))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))))))
(* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1 (/ b_2 (* a c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (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)))))
(* 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 (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b_2 (* a c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1))))) c))) c)))))
(* -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)))))
(* -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
(* -2 (/ b_2 a))
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a)
(/.f64 (fma.f64 (.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) a (.f64 #s(literal -2 binary64) b_2)) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 3))) (* 1/2 (/ c b_2))))) a)
(/.f64 (fma.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 (.f64 #s(literal -2 binary64) b_2)) a)
(/ (+ (* -2 b_2) (* a (+ (* 1/2 (/ c b_2)) (* a (+ (* 1/16 (/ (* a (pow c 3)) (pow b_2 5))) (* 1/8 (/ (pow c 2) (pow b_2 3)))))))) a)
(/.f64 (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 (*.f64 #s(literal -2 binary64) b_2)) a)
(* -2 b_2)
(*.f64 #s(literal -2 binary64) b_2)
(- (* 1/2 (/ (* a c) b_2)) (* 2 b_2))
(fma.f64 (.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) a (.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 c (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) (.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) 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 (.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 (*.f64 #s(literal -2 binary64) b_2))
b_2
(+ b_2 (* -1/2 (/ (* a c) b_2)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) c) (/.f64 a b_2) b_2)
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))
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rewrite197.0ms (2.5%)

Memory

33.1MiB live, 151.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	41
0	17	41
1	68	41
2	503	38
3	6590	38
0	8305	38

Stop Event

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

Counts

5 → 428

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

Outputs
(.f64 (/.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) a) (+.f64 (pow.f64 (neg.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 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(.f64 (/.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) a) (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2)))) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 3/2 binary64))) a) (-.f64 (pow.f64 b_2 #s(literal 4 binary64)) (.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (neg.f64 (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 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2)))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 3/2 binary64))) a) (+.f64 (pow.f64 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2 (neg.f64 (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 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) (pow.f64 b_2 #s(literal 4 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)) (/.f64 #s(literal -1 binary64) a))
(.f64 (pow.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) #s(literal -1/2 binary64)))
(.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) a) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))))
(.f64 (pow.f64 (/.f64 a (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 a (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 3/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (.f64 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))) a) (pow.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 3/2 binary64))) a) (pow.f64 (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2) a) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2)))
(.f64 (-.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 (neg.f64 a) a))) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2)))
(.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2))
(.f64 (-.f64 (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2) a) (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)))))
(.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) (/.f64 #s(literal 1 binary64) (*.f64 a a)))
(.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) (.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a)))
(.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2) (/.f64 #s(literal -1 binary64) a))
(.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 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 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2) #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64))))
(.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2) a)))
(.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 (pow.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) #s(literal -1 binary64)) a))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2) a))
(.f64 (pow.f64 a #s(literal -1 binary64)) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))))
(.f64 #s(literal 1 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) a))
(.f64 (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) (.f64 (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) a)))
(.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 3/2 binary64))) (/.f64 (pow.f64 a #s(literal -1 binary64)) (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))))
(.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 3/2 binary64))) (.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) a)))
(.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 3/2 binary64))) (/.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) #s(literal -1 binary64)) a))
(.f64 (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) a) #s(literal 1 binary64))
(.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) (pow.f64 a #s(literal -1 binary64)))
(pow.f64 (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) #s(literal -1 binary64))
(/.f64 (/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a)) a) a)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))))) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 3/2 binary64))))) (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(/.f64 (/.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) #s(literal -1 binary64)) a)
(/.f64 (.f64 (neg.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2)))) (/.f64 #s(literal -1 binary64) a)) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))
(/.f64 (.f64 (+.f64 (pow.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) a)) (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))))
(/.f64 (.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(/.f64 (.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 3/2 binary64))) (/.f64 #s(literal -1 binary64) a)) (-.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)))
(/.f64 (.f64 (neg.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2)))) (pow.f64 a #s(literal -1 binary64))) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(/.f64 (.f64 (+.f64 (pow.f64 (neg.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 a #s(literal -1 binary64))) (-.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)))
(/.f64 (.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))))) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
(/.f64 (.f64 (pow.f64 a #s(literal -1 binary64)) (+.f64 (pow.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (-.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2)))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) a)) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 3/2 binary64))) a)) (fma.f64 b_2 b_2 (fma.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 (neg.f64 a) a)))) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2) a))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a) #s(literal 3 binary64)))) (fma.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2) a) (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a))) (*.f64 a a))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2)) (neg.f64 a))
(/.f64 (.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2) #s(literal 1 binary64)) (neg.f64 a))
(/.f64 (-.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) (.f64 (/.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) a) (/.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) a))) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2) a))
(/.f64 (+.f64 (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) (-.f64 (.f64 (/.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) a) (/.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) a)) (.f64 (/.f64 b_2 a) (/.f64 (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) a)))))
(/.f64 (neg.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) a)) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 3/2 binary64))) a)) (-.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)) (/.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 (neg.f64 a) a)))) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))) a))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a) (pow.f64 (/.f64 b_2 a) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a))) (neg.f64 (.f64 a a)))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))))) (.f64 (neg.f64 a) (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))))
(/.f64 (.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (.f64 (neg.f64 a) (-.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))))) (.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (.f64 a (-.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2))))
(/.f64 (.f64 (neg.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2)))) #s(literal -1 binary64)) (.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) (neg.f64 a)))
(/.f64 (.f64 (neg.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2)))) #s(literal 1 binary64)) (.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) a))
(/.f64 (.f64 (neg.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2)))) #s(literal 1 binary64)) (.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2) (neg.f64 a)))
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b_2
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(exp.f64 (.f64 (log.f64 (pow.f64 (neg.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 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) #s(literal 1 binary64)))
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eval204.0ms (2.6%)

Memory: -30.4MiB live, 127.3MiB allocated
Compiler: Compiled 16 974 to 2 054 computations (87.9% saved)

prune15.0ms (0.2%)

Memory

23.6MiB live, 23.6MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	508	13	521
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	508	14	522

Accuracy

92.9%

Counts

522 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.4%	(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) (.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a))
	27.2%	(/.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2))
	15.3%	(/.f64 (-.f64 (.f64 a b_2) (.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) a)) (.f64 a a))
	27.2%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2))) (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))))) a)
▶	27.7%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))) a)
✓	51.4%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
▶	35.7%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
	22.8%	(/.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)
	34.3%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
▶	27.3%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
	27.4%	(.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2))
▶	34.0%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
	33.9%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 c b_2) (/.f64 #s(literal -2 binary64) a)) b_2))
▶	34.9%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))

Compiler

Compiled 519 to 350 computations (32.6% saved)

simplify162.0ms (2.1%)

Memory

4.6MiB live, 42.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	299
0	67	299
1	115	294
2	206	290
3	411	290
4	709	290
5	1244	290
6	2132	290
7	2929	290
8	3118	290
9	3195	290
10	3216	290
11	3232	290
12	3272	290
13	3578	290
14	3628	290
15	3632	290
16	3632	290
17	3633	290
0	3633	290

Stop Event

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

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

localize130.0ms (1.7%)

Memory

5.9MiB live, 165.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.09375	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
accuracy	0.12471050978190845	(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
accuracy	0.7499917428166807	(fma.f64 c a (*.f64 b_2 b_2))
accuracy	4.314135620009406	(sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))
accuracy	0.0859375	(/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))))
accuracy	0.0859375	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))
accuracy	0.7499917428166807	(fma.f64 c a (*.f64 b_2 b_2))
accuracy	4.483550713181321	(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2))))
accuracy	0.0	(/.f64 #s(literal 1/2 binary64) b_2)
accuracy	0.00390625	(*.f64 (/.f64 b_2 a) #s(literal -2 binary64))
accuracy	0.078125	(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))
accuracy	21.495414347092495	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))
accuracy	0.0	(/.f64 c b_2)
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))
accuracy	21.56445678090631	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))
accuracy	0.0	(neg.f64 a)
accuracy	0.0	#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))
accuracy	0.0859375	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
accuracy	4.483550713181312	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))

Samples

68.0ms	167×	0	invalid
21.0ms	89×	0	valid

Compiler

Compiled 278 to 37 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-add: 16.0ms (26.8% of total)

ival-mult: 16.0ms (26.8% of total)

ival-div: 13.0ms (21.8% of total)

ival-sub: 5.0ms (8.4% of total)

ival-sqrt: 5.0ms (8.4% of total)

ival-neg: 5.0ms (8.4% of total)

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

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

exact: 0.0ms (0% of total)

series201.0ms (2.6%)

Memory

-18.1MiB live, 135.5MiB allocated

Counts

23 → 367

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

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

Calls

9 calls:

Time	Variable		Point	Expression
56.0ms	b_2	@	inf	((/ (- (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))) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (/ c b_2)) (/ c b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (/ 1/2 b_2) (* (/ b_2 a) -2) (/ 1 (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))))) (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (- (neg b_2) (/ 1 (sqrt (/ 1 (neg (+ (* c a) (* b_2 b_2))))))) (/ 1 (neg (+ (* c a) (* b_2 b_2)))) (/ (- (neg b_2) (/ 1 (sqrt (/ 1 (neg (+ (* c a) (* b_2 b_2))))))) a) (- (* b_2 b_2) (* a c)) (neg a) (+ (* c a) (* b_2 b_2)) (sqrt (/ 1 (neg (+ (* c a) (* b_2 b_2))))) (/ 1 (sqrt (/ 1 (neg (+ (* c a) (* b_2 b_2)))))))
50.0ms	a	@	0	((/ (- (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))) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (/ c b_2)) (/ c b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (/ 1/2 b_2) (* (/ b_2 a) -2) (/ 1 (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))))) (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (- (neg b_2) (/ 1 (sqrt (/ 1 (neg (+ (* c a) (* b_2 b_2))))))) (/ 1 (neg (+ (* c a) (* b_2 b_2)))) (/ (- (neg b_2) (/ 1 (sqrt (/ 1 (neg (+ (* c a) (* b_2 b_2))))))) a) (- (* b_2 b_2) (* a c)) (neg a) (+ (* c a) (* b_2 b_2)) (sqrt (/ 1 (neg (+ (* c a) (* b_2 b_2))))) (/ 1 (sqrt (/ 1 (neg (+ (* c a) (* b_2 b_2)))))))
31.0ms	c	@	inf	((/ (- (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))) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (/ c b_2)) (/ c b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (/ 1/2 b_2) (* (/ b_2 a) -2) (/ 1 (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))))) (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (- (neg b_2) (/ 1 (sqrt (/ 1 (neg (+ (* c a) (* b_2 b_2))))))) (/ 1 (neg (+ (* c a) (* b_2 b_2)))) (/ (- (neg b_2) (/ 1 (sqrt (/ 1 (neg (+ (* c a) (* b_2 b_2))))))) a) (- (* b_2 b_2) (* a c)) (neg a) (+ (* c a) (* b_2 b_2)) (sqrt (/ 1 (neg (+ (* c a) (* b_2 b_2))))) (/ 1 (sqrt (/ 1 (neg (+ (* c a) (* b_2 b_2)))))))
8.0ms	a	@	-inf	((/ (- (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))) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (/ c b_2)) (/ c b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (/ 1/2 b_2) (* (/ b_2 a) -2) (/ 1 (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))))) (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (- (neg b_2) (/ 1 (sqrt (/ 1 (neg (+ (* c a) (* b_2 b_2))))))) (/ 1 (neg (+ (* c a) (* b_2 b_2)))) (/ (- (neg b_2) (/ 1 (sqrt (/ 1 (neg (+ (* c a) (* b_2 b_2))))))) a) (- (* b_2 b_2) (* a c)) (neg a) (+ (* c a) (* b_2 b_2)) (sqrt (/ 1 (neg (+ (* c a) (* b_2 b_2))))) (/ 1 (sqrt (/ 1 (neg (+ (* c a) (* b_2 b_2)))))))
7.0ms	a	@	inf	((/ (- (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))) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -1/2 (/ c b_2)) (/ c b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (/ 1/2 b_2) (* (/ b_2 a) -2) (/ 1 (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))))) (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (- (neg b_2) (/ 1 (sqrt (/ 1 (neg (+ (* c a) (* b_2 b_2))))))) (/ 1 (neg (+ (* c a) (* b_2 b_2)))) (/ (- (neg b_2) (/ 1 (sqrt (/ 1 (neg (+ (* c a) (* b_2 b_2))))))) a) (- (* b_2 b_2) (* a c)) (neg a) (+ (* c a) (* b_2 b_2)) (sqrt (/ 1 (neg (+ (* c a) (* b_2 b_2))))) (/ 1 (sqrt (/ 1 (neg (+ (* c a) (* b_2 b_2)))))))

simplify190.0ms (2.5%)

Memory

31.0MiB live, 229.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1909	12774
1	6416	12566
0	8297	12131

Stop Event

1×	iter limit
1×	node limit

Counts

367 → 366

Calls

Call 1

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

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

rewrite257.0ms (3.3%)

Memory

-33.2MiB live, 249.8MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	245
0	67	241
1	261	229
2	1940	229
0	8709	229

Stop Event

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

Counts

23 → 881

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

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

eval250.0ms (3.2%)

Memory: 11.0MiB live, 244.3MiB allocated
Compiler: Compiled 44 615 to 5 834 computations (86.9% saved)

prune99.0ms (1.3%)

Memory

23.3MiB live, 99.4MiB allocated

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	1 252	14	1 266
Fresh	3	5	8
Picked	4	1	5
Done	0	1	1
Total	1 259	21	1 280

Accuracy

93.2%

Counts

1 280 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.2%	(/.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (.f64 b_2 b_2))) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2))
	34.5%	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))) a)
	22.2%	(/.f64 (-.f64 (.f64 (neg.f64 b_2) a) (.f64 a (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))))) (.f64 a a))
▶	29.4%	(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (.f64 a (fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))))
	33.5%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (neg (+ (* c a) (* b_2 b_2)))) (/.f64 (-.f64 (.f64 (/.f64 b_2 (.f64 c c)) (/.f64 b_2 a)) (/.f64 #s(literal 1 binary64) c)) a))))) a)
	32.9%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (neg (+ (* c a) (* b_2 b_2)))) (/.f64 #s(literal -1 binary64) (*.f64 c a)))))) a)
✓	51.4%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	34.3%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (-.f64 #s(literal 1 binary64) (.f64 a (/.f64 c (.f64 b_2 b_2)))) (.f64 b_2 b_2))))) a)
✓	35.7%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
	8.2%	(/.f64 (-.f64 (neg.f64 b_2) #s(approx (sqrt (- (* b_2 b_2) (* a c))) (.f64 (neg.f64 b_2) (fma.f64 (.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal -1/2 binary64) #s(literal 1 binary64))))) a)
▶	22.8%	(/.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)
	34.3%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
	28.2%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))))
	27.4%	(.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2))
▶	34.9%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
	34.4%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
▶	33.9%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 c b_2) (/.f64 #s(literal -2 binary64) a)) b_2))
	34.8%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2)))
	33.4%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (-.f64 (.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) a)) b_2))
	16.3%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (exp.f64 (.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64)))))
▶	7.9%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))

Compiler

Compiled 963 to 645 computations (33% saved)

simplify166.0ms (2.1%)

Memory

-38.0MiB live, 58.6MiB 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	0	(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (.f64 a (fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))))
cost-diff	1	(fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) b_2)
cost-diff	0	(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 c b_2) (/.f64 #s(literal -2 binary64) a))
cost-diff	0	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 c b_2) (/.f64 #s(literal -2 binary64) a)) b_2))
cost-diff	2	(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 c b_2) (/.f64 #s(literal -2 binary64) a)) b_2)
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 (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.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) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
cost-diff	0	(*.f64 #s(literal -1/2 binary64) c)
cost-diff	0	(/.f64 (*.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 (*.f64 #s(literal -1/2 binary64) c) b_2))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	333
0	67	333
1	122	330
2	224	330
3	380	330
4	615	328
5	1196	328
6	3263	328
7	5471	328
8	6641	328
9	7602	328
0	8016	324

Stop Event

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

Calls

Call 1

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

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

localize249.0ms (3.2%)

Memory

19.1MiB live, 212.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	19.695466215537962	(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (.f64 a (fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))))
accuracy	24.00782797463376	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
accuracy	35.129253830509555	(-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
accuracy	39.319980302471464	#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))
accuracy	0.0	(/.f64 #s(literal -2 binary64) a)
accuracy	0.05859375	(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 c b_2) (/.f64 #s(literal -2 binary64) a))
accuracy	4.384518054021884	(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 c b_2) (/.f64 #s(literal -2 binary64) a)) b_2)
accuracy	42.217935667595434	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 c b_2) (/.f64 #s(literal -2 binary64) a)) b_2))
accuracy	0.01171875	(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))
accuracy	5.451134085897187	(/.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	6.084948955187175	(.f64 (.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)
accuracy	41.659140995762144	#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	40.760280684588096	#s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))
accuracy	42.217935667595434	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))
accuracy	0.0	(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2)
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) c)
accuracy	41.643026934096476	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))

Samples

112.0ms	90×	0	valid
42.0ms	74×	2	valid
34.0ms	81×	1	valid
31.0ms	11×	3	valid

Compiler

Compiled 246 to 39 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-div: 41.0ms (38.6% of total)

ival-mult: 33.0ms (31.1% of total)

adjust: 11.0ms (10.4% of total)

ival-sub: 8.0ms (7.5% of total)

ival-add: 6.0ms (5.7% of total)

ival-sqrt: 4.0ms (3.8% of total)

ival-neg: 2.0ms (1.9% of total)

exact: 1.0ms (0.9% of total)

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

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

series55.0ms (0.7%)

Memory

0.0MiB live, 117.0MiB allocated

Counts

22 → 166

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	a	@	inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (* -1/2 c) b_2) (* -1/2 c) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ 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) (* (+ (* (/ 1/2 b_2) (/ c b_2)) (/ -2 a)) b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) (/ c b_2)) (/ -2 a)) (/ 1/2 b_2) (+ (* -1 b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* a (+ (* -1 b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (/ -2 a) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))))
10.0ms	c	@	-inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (* -1/2 c) b_2) (* -1/2 c) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ 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) (* (+ (* (/ 1/2 b_2) (/ c b_2)) (/ -2 a)) b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) (/ c b_2)) (/ -2 a)) (/ 1/2 b_2) (+ (* -1 b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* a (+ (* -1 b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (/ -2 a) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))))
6.0ms	b_2	@	-inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (* -1/2 c) b_2) (* -1/2 c) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ 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) (* (+ (* (/ 1/2 b_2) (/ c b_2)) (/ -2 a)) b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) (/ c b_2)) (/ -2 a)) (/ 1/2 b_2) (+ (* -1 b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* a (+ (* -1 b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (/ -2 a) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))))
5.0ms	b_2	@	0	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (* -1/2 c) b_2) (* -1/2 c) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ 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) (* (+ (* (/ 1/2 b_2) (/ c b_2)) (/ -2 a)) b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) (/ c b_2)) (/ -2 a)) (/ 1/2 b_2) (+ (* -1 b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* a (+ (* -1 b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (/ -2 a) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))))
4.0ms	c	@	inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ (* -1/2 c) b_2) (* -1/2 c) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (* (/ 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) (* (+ (* (/ 1/2 b_2) (/ c b_2)) (/ -2 a)) b_2) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ 1/2 b_2) (/ c b_2)) (/ -2 a)) (/ 1/2 b_2) (+ (* -1 b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* a (+ (* -1 b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (/ -2 a) (- (* b_2 b_2) (* a c)) (sqrt (- (* b_2 b_2) (* a c))))

simplify197.0ms (2.6%)

Memory

27.1MiB live, 219.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	896	4999
1	2957	4673
0	8474	4458

Stop Event

1×	iter limit
1×	node limit

Counts

166 → 165

Calls

Call 1

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

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

rewrite189.0ms (2.5%)

Memory

-32.9MiB live, 257.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	284
0	67	284
1	247	266
2	1937	266
0	8210	264

Stop Event

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

Counts

22 → 750

Calls

Call 1

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

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

eval123.0ms (1.6%)

Memory: 18.8MiB live, 209.8MiB allocated
Compiler: Compiled 39 291 to 4 357 computations (88.9% saved)

prune34.0ms (0.4%)

Memory

6.0MiB live, 82.3MiB allocated

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	943	11	954
Fresh	7	7	14
Picked	1	4	5
Done	0	2	2
Total	951	24	975

Accuracy

93.2%

Counts

975 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	34.4%	(/.f64 (/.f64 (-.f64 (.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))
	33.5%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (neg (+ (* c a) (* b_2 b_2)))) (/.f64 (-.f64 (.f64 (/.f64 b_2 (.f64 c c)) (/.f64 b_2 a)) (/.f64 #s(literal 1 binary64) c)) a))))) a)
	32.9%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (neg (+ (* c a) (* b_2 b_2)))) (/.f64 #s(literal -1 binary64) (*.f64 c a)))))) a)
✓	51.4%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	35.7%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
	28.6%	(/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (.f64 c a)) (.f64 a (fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))))
✓	22.8%	(/.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)
	22.8%	(/.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)
	34.3%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
▶	28.2%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))))
	22.5%	(/.f64 #s(literal 1 binary64) (/.f64 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))))
	27.4%	(.f64 (/.f64 #s(literal -1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (.f64 b_2 b_2)))) b_2))
▶	5.7%	#s(approx (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* a (+ (* -1 b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/.f64 c #s(literal 0 binary64)))
✓	34.9%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
▶	34.4%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
✓	33.9%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 c b_2) (/.f64 #s(literal -2 binary64) a)) b_2))
	23.6%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -2 binary64) a) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal -2 binary64) a) (.f64 (*.f64 #s(literal 1/2 binary64) c) (pow.f64 b_2 #s(literal -2 binary64))))) b_2))
	34.2%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (/ 1/2 b_2) (/ c b_2)) (/ -2 a)) (/.f64 #s(literal -2 binary64) a)) b_2))
	8.0%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (/ 1/2 b_2) (/ c b_2)) (/ -2 a)) (.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal 1/2 binary64))) b_2))
▶	34.8%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
	16.3%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (exp.f64 (.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64)))))
	16.1%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 b_2 c) #s(literal -1/2 binary64))) #s(literal -1 binary64))))
	7.9%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c))))
✓	7.9%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))

Compiler

Compiled 1 076 to 732 computations (32% saved)

simplify120.0ms (1.6%)

Memory

-22.9MiB live, 97.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 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	0	(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) a)
cost-diff	0	(/.f64 (/.f64 (-.f64 (.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))
cost-diff	0	(sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))
cost-diff	0	(-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))
cost-diff	0	(/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))))
cost-diff	2	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))))
cost-diff	0	(/.f64 b_2 c)
cost-diff	0	(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))
cost-diff	0	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
cost-diff	0	(/.f64 c #s(literal 0 binary64))
cost-diff	0	#s(approx (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* a (+ (* -1 b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/.f64 c #s(literal 0 binary64)))
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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	309
0	65	308
1	119	301
2	235	297
3	489	293
4	1241	293
0	4784	287

Stop Event

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

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

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

localize95.0ms (1.2%)

Memory

8.8MiB live, 136.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 b_2 b_2)
accuracy	0.0	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
accuracy	0.0	(neg.f64 a)
accuracy	0.0	#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))
accuracy	0.0	(*.f64 c a)
accuracy	0.0	(sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))
accuracy	0.0	(neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))
accuracy	0.0	#s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))
accuracy	0.0	(/.f64 b_2 c)
accuracy	0.0	(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))
accuracy	0.0	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
accuracy	0.0	(/.f64 c #s(literal 0 binary64))
accuracy	0.0	#s(approx (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* a (+ (* -1 b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/.f64 c #s(literal 0 binary64)))
accuracy	0.0	(/.f64 #s(literal -1/2 binary64) b_2)
accuracy	0.0	(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))
accuracy	0.0	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))

Samples

77.0ms

256×

invalid

Compiler

Compiled 236 to 38 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-div: 25.0ms (45.9% of total)

ival-mult: 11.0ms (20.2% of total)

ival-sub: 6.0ms (11% of total)

ival-neg: 6.0ms (11% of total)

ival-add: 3.0ms (5.5% of total)

ival-sqrt: 3.0ms (5.5% of total)

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

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

exact: 0.0ms (0% of total)

series69.0ms (0.9%)

Memory

0.6MiB live, 38.3MiB allocated

Counts

22 → 237

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

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

Calls

9 calls:

Time	Variable		Point	Expression
48.0ms	c	@	-inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* c (/ -1/2 b_2)) (/ -1/2 b_2) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* a (+ (* -1 b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ c 0) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ -1/2 (/ b_2 c)) (/ b_2 c) (/ 1 (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))))) (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (/ (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) a) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (+ (* c a) (* b_2 b_2)) (neg (+ (* c a) (* b_2 b_2))) (* c a) (- (* b_2 b_2) (* a c)) (neg a) (sqrt (- (* b_2 b_2) (* a c))))
2.0ms	b_2	@	-inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* c (/ -1/2 b_2)) (/ -1/2 b_2) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* a (+ (* -1 b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ c 0) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ -1/2 (/ b_2 c)) (/ b_2 c) (/ 1 (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))))) (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (/ (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) a) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (+ (* c a) (* b_2 b_2)) (neg (+ (* c a) (* b_2 b_2))) (* c a) (- (* b_2 b_2) (* a c)) (neg a) (sqrt (- (* b_2 b_2) (* a c))))
2.0ms	c	@	0	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* c (/ -1/2 b_2)) (/ -1/2 b_2) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* a (+ (* -1 b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ c 0) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ -1/2 (/ b_2 c)) (/ b_2 c) (/ 1 (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))))) (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (/ (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) a) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (+ (* c a) (* b_2 b_2)) (neg (+ (* c a) (* b_2 b_2))) (* c a) (- (* b_2 b_2) (* a c)) (neg a) (sqrt (- (* b_2 b_2) (* a c))))
2.0ms	b_2	@	inf	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* c (/ -1/2 b_2)) (/ -1/2 b_2) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* a (+ (* -1 b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ c 0) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ -1/2 (/ b_2 c)) (/ b_2 c) (/ 1 (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))))) (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (/ (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) a) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (+ (* c a) (* b_2 b_2)) (neg (+ (* c a) (* b_2 b_2))) (* c a) (- (* b_2 b_2) (* a c)) (neg a) (sqrt (- (* b_2 b_2) (* a c))))
2.0ms	a	@	0	((/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* c (/ -1/2 b_2)) (/ -1/2 b_2) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* a (+ (* -1 b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ c 0) (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/ -1/2 (/ b_2 c)) (/ b_2 c) (/ 1 (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))))) (/ a (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2)))))) (- b_2 (sqrt (neg (+ (* c a) (* b_2 b_2))))) (sqrt (neg (+ (* c a) (* b_2 b_2)))) (/ (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) a) (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) a) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (+ (* c a) (* b_2 b_2)) (neg (+ (* c a) (* b_2 b_2))) (* c a) (- (* b_2 b_2) (* a c)) (neg a) (sqrt (- (* b_2 b_2) (* a c))))

simplify184.0ms (2.4%)

Memory

18.7MiB live, 202.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1469	8748
1	5007	8237
0	8794	7921

Stop Event

1×	iter limit
1×	node limit

Counts

237 → 235

Calls

Call 1

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

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

rewrite387.0ms (5%)

Memory

7.9MiB live, 257.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	275
0	65	274
1	278	260
2	2005	256
0	8567	250

Stop Event

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

Counts

22 → 561

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

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

eval180.0ms (2.3%)

Memory: -5.2MiB live, 116.8MiB allocated
Compiler: Compiled 34 504 to 3 615 computations (89.5% saved)

prune33.0ms (0.4%)

Memory

-2.4MiB live, 72.8MiB allocated

Pruning

26 alts after pruning (16 fresh and 10 done)

	Pruned	Kept	Total
New	776	7	783
Fresh	4	9	13
Picked	1	4	5
Done	0	6	6
Total	781	26	807

Accuracy

93.2%

Counts

807 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.8%	(/.f64 (/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (.f64 c a)) a) (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2))
	33.5%	(/.f64 (-.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (neg (+ (* c a) (* b_2 b_2)))) (/.f64 (-.f64 (.f64 (/.f64 b_2 (.f64 c c)) (/.f64 b_2 a)) (/.f64 #s(literal 1 binary64) c)) a))))) a)
✓	51.4%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	35.7%	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
	28.3%	(/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a))))) a)
	28.6%	(/.f64 #s(approx (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (.f64 c a)) (.f64 a (fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))))
✓	22.8%	(/.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)
	34.3%	(/.f64 #s(approx (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
✓	28.2%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 c a)))))))
	22.5%	(/.f64 #s(literal 1 binary64) (/.f64 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))))
	28.3%	(.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ ( c a) (* b_2 b_2)) (*.f64 c a)))))))
✓	5.7%	#s(approx (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* a (+ (* -1 b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/.f64 c #s(literal 0 binary64)))
	8.3%	#s(approx (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* a (+ (* -1 b_2) (sqrt (- (* b_2 b_2) (* a c)))))) #s(literal 0 binary64))
✓	34.9%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2))
✓	34.4%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
	18.2%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 c b_2)) #s(literal -1 binary64)))))
✓	33.9%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 c b_2) (/.f64 #s(literal -2 binary64) a)) b_2))
	23.6%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -2 binary64) a) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal -2 binary64) a) (.f64 (*.f64 #s(literal 1/2 binary64) c) (pow.f64 b_2 #s(literal -2 binary64))))) b_2))
	34.2%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (/ 1/2 b_2) (/ c b_2)) (/ -2 a)) (/.f64 #s(literal -2 binary64) a)) b_2))
	8.0%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (/ 1/2 b_2) (/ c b_2)) (/ -2 a)) (.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal 1/2 binary64))) b_2))
✓	34.8%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))
	31.5%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 c (exp.f64 (.f64 (log.f64 (*.f64 b_2 #s(literal -2 binary64))) #s(literal -1 binary64)))))
	16.3%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (exp.f64 (.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64)))))
	16.1%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (exp.f64 (.f64 (log.f64 (.f64 (/.f64 b_2 c) #s(literal -2 binary64))) #s(literal -1 binary64))))
	7.9%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c))))
✓	7.9%	#s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (+ (* (/ 1/2 b_2) c) (* (/ b_2 a) -2)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))

Compiler

Compiled 1 776 to 679 computations (61.8% saved)

regimes52.0ms (0.7%)

Memory

-8.3MiB live, 75.9MiB allocated

Counts

46 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

14.0ms	a
12.0ms	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
12.0ms	c
12.0ms	b_2

Results

Accuracy	Segments	Branch
55.6%	3	`a`
87.4%	3	`b_2`
51.4%	1	`c`
79.7%	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)

regimes7.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

18 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

5.0ms

b_2

Results

Accuracy	Segments	Branch
84.3%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.1%)

Memory

-30.2MiB live, 9.1MiB allocated

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

6.0ms

b_2

Results

Accuracy	Segments	Branch
84.0%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0.1%)

Memory

9.2MiB live, 9.1MiB allocated

Counts

15 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

5.0ms

b_2

Results

Accuracy	Segments	Branch
84.0%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes8.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

4.0ms	b_2
3.0ms	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
53.7%	4	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
66.8%	2	`b_2`

Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes3.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

b_2

Results

Accuracy	Segments	Branch
66.7%	2	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes4.0ms (0%)

Memory

-33.6MiB live, 5.8MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

b_2

Results

Accuracy	Segments	Branch
66.7%	2	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.1%)

Memory

16.9MiB live, 16.9MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
34.9%	1	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
34.9%	1	`c`
34.9%	1	`a`
38.2%	2	`b_2`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes7.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* a (+ (* -1 b_2) (sqrt (- (* b_2 b_2) (* a c)))))) #s(literal 0 binary64))

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

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

Outputs

#s(approx (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* a (+ (* -1 b_2) (sqrt (- (* b_2 b_2) (* a c)))))) #s(literal 0 binary64))

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

Calls

4 calls:

2.0ms	c
2.0ms	b_2
2.0ms	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
8.3%	1	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
8.3%	1	`a`
10.2%	2	`c`
11.4%	2	`b_2`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes4.0ms (0%)

Memory

7.7MiB live, 7.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* a (+ (* -1 b_2) (sqrt (- (* b_2 b_2) (* a c)))))) #s(literal 0 binary64))

Outputs
#s(approx (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* a (+ (* -1 b_2) (sqrt (- (* b_2 b_2) (* a c)))))) #s(literal 0 binary64))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
8.3%	1	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
8.3%	1	`c`
8.3%	1	`b_2`

Compiler

Compiled 15 to 16 computations (-6.7% saved)

bsearch39.0ms (0.5%)

Memory

-35.9MiB live, 42.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.973635267041284e+130	5.8966090481236626e+137
19.0ms	-7.728988039430943e-108	-5.090657399718586e-111

Samples

15.0ms	221×	0	valid
3.0ms	21×	1	valid
3.0ms	14×	2	valid
2.0ms	31×	0	invalid

Compiler

Compiled 512 to 424 computations (17.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 4.0ms (27.7% of total)

ival-sub: 3.0ms (20.8% of total)

ival-div: 2.0ms (13.9% of total)

ival-sqrt: 2.0ms (13.9% of total)

adjust: 1.0ms (6.9% of total)

ival-neg: 1.0ms (6.9% of total)

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

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

bsearch19.0ms (0.2%)

Memory

17.4MiB live, 17.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	8.612243342915129e-42	1.2731338056785698e-38
1.0ms	-7.728988039430943e-108	-5.090657399718586e-111

Samples

8.0ms	128×	0	valid
2.0ms	26×	0	invalid

Compiler

Compiled 648 to 504 computations (22.2% saved)

Precisions

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

ival-mult: 2.0ms (31.7% of total)

ival-sub: 1.0ms (15.9% of total)

ival-div: 1.0ms (15.9% of total)

ival-sqrt: 1.0ms (15.9% of total)

ival-neg: 1.0ms (15.9% of total)

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

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

bsearch50.0ms (0.6%)

Memory

4.9MiB live, 40.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	8.612243342915129e-42	1.2731338056785698e-38
36.0ms	-2.794454047654089e-63	-1.7952277493024357e-107

Samples

14.0ms	204×	0	valid
12.0ms	51×	1	valid
4.0ms	62×	0	invalid
3.0ms	17×	2	valid

Compiler

Compiled 776 to 600 computations (22.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-sub: 9.0ms (38.1% of total)

ival-mult: 5.0ms (21.1% of total)

ival-div: 3.0ms (12.7% of total)

ival-sqrt: 3.0ms (12.7% of total)

ival-neg: 2.0ms (8.5% of total)

adjust: 1.0ms (4.2% of total)

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

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

bsearch3.0ms (0%)

Memory

2.9MiB live, 3.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	8.612243342915129e-42	1.2731338056785698e-38
1.0ms	-2.794454047654089e-63	-1.7952277493024357e-107

Compiler

Compiled 720 to 568 computations (21.1% saved)

bsearch25.0ms (0.3%)

Memory

-15.6MiB live, 21.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	-1.9783314130900848e-276	-9.738926658074801e-280

Samples

9.0ms	128×	0	valid
3.0ms	46×	0	invalid

Compiler

Compiled 304 to 248 computations (18.4% saved)

Precisions

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

ival-sub: 2.0ms (27.1% of total)

ival-mult: 2.0ms (27.1% of total)

ival-div: 1.0ms (13.6% of total)

ival-sqrt: 1.0ms (13.6% of total)

ival-neg: 1.0ms (13.6% of total)

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

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

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.9783314130900848e-276	-9.738926658074801e-280

Compiler

Compiled 416 to 320 computations (23.1% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-1.9783314130900848e-276	-9.738926658074801e-280

Compiler

Compiled 416 to 320 computations (23.1% saved)

bsearch18.0ms (0.2%)

Memory

28.0MiB live, 28.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-1.7681947561500531e-304	-2.6899515903077788e-306

Samples

7.0ms	112×	0	valid
3.0ms	43×	0	invalid

Compiler

Compiled 359 to 240 computations (33.1% saved)

Precisions

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

ival-mult: 2.0ms (30.8% of total)

ival-sub: 1.0ms (15.4% of total)

ival-div: 1.0ms (15.4% of total)

ival-sqrt: 1.0ms (15.4% of total)

ival-neg: 1.0ms (15.4% of total)

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

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

bsearch16.0ms (0.2%)

Memory

-7.8MiB live, 31.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.3622642378695886e-52	1.9464510345800869e-50

Samples

7.0ms	112×	0	valid
3.0ms	22×	0	invalid

Compiler

Compiled 422 to 247 computations (41.5% saved)

Precisions

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

ival-mult: 2.0ms (35.9% of total)

ival-sub: 1.0ms (17.9% of total)

ival-div: 1.0ms (17.9% of total)

ival-sqrt: 1.0ms (17.9% of total)

ival-neg: 1.0ms (17.9% of total)

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

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

simplify61.0ms (0.8%)

Memory

1.0MiB live, 46.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	96	542
1	154	514
2	265	506
3	477	498
4	1170	490
5	4344	490
6	6632	490

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -8064882819241033/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2)) (if (<=.f64 b_2 #s(literal 10999999999999999741517216640396125351436536949232878811506057409832573996528422381228585187863114828408559765394467246748372123516928 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.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 -8064882819241033/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2)) (if (<=.f64 b_2 #s(literal 4750736176684255/766247770432944429179173513575154591809369561091801088 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) a) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))))
(if (<=.f64 b_2 #s(literal -2777283480300477/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2)) (if (<=.f64 b_2 #s(literal 4597486622597667/1532495540865888858358347027150309183618739122183602176 binary64)) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ ( c a) (* b_2 b_2)) (.f64 c a))))) a) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))))
(if (<=.f64 b_2 #s(literal -2777283480300477/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2)) (if (<=.f64 b_2 #s(literal 4597486622597667/1532495540865888858358347027150309183618739122183602176 binary64)) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ ( c a) (* b_2 b_2)) (.f64 c a))))) a) (/.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 -5109351192408883/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2)) (/.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 -5109351192408883/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2)) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (/ 1/2 b_2) (/ c b_2)) (/ -2 a)) (/.f64 #s(literal -2 binary64) a)) b_2)))
(if (<=.f64 b_2 #s(literal -5109351192408883/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (/ 1/2 b_2) (/ c b_2)) (/ -2 a)) (/.f64 #s(literal -2 binary64) a)) b_2)))
(if (<=.f64 b_2 #s(literal -8538845061402167/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) #s(approx (/ (- ( b_2 b_2) (- (* b_2 b_2) (* a c))) (* a (+ (* -1 b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/.f64 c #s(literal 0 binary64))))
(if (<=.f64 b_2 #s(literal 8256483666814883/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #s(approx (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* a (+ (* -1 b_2) (sqrt (- (* b_2 b_2) (* a c)))))) #s(literal 0 binary64)) #s(approx (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* a (+ (* -1 b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/.f64 c #s(literal 0 binary64))))
#s(approx (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* a (+ (* -1 b_2) (sqrt (- (* b_2 b_2) (* a c)))))) #s(literal 0 binary64))

Outputs
(if (<=.f64 b_2 #s(literal -8064882819241033/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2)) (if (<=.f64 b_2 #s(literal 10999999999999999741517216640396125351436536949232878811506057409832573996528422381228585187863114828408559765394467246748372123516928 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (/.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 -8064882819241033/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2)) (if (<=.f64 b_2 #s(literal 10999999999999999741517216640396125351436536949232878811506057409832573996528422381228585187863114828408559765394467246748372123516928 binary64)) (/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a)) (/.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 -8064882819241033/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2)) (if (<=.f64 b_2 #s(literal 4750736176684255/766247770432944429179173513575154591809369561091801088 binary64)) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) a) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))))
(if (<=.f64 b_2 #s(literal -8064882819241033/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2)) (if (<=.f64 b_2 #s(literal 4750736176684255/766247770432944429179173513575154591809369561091801088 binary64)) (/.f64 (+.f64 b_2 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c)))) (neg.f64 a)) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))))
(if (<=.f64 b_2 #s(literal -2777283480300477/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2)) (if (<=.f64 b_2 #s(literal 4597486622597667/1532495540865888858358347027150309183618739122183602176 binary64)) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ ( c a) (* b_2 b_2)) (.f64 c a))))) a) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))))
(if (<=.f64 b_2 #s(literal -2777283480300477/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2)) (if (<=.f64 b_2 #s(literal 4597486622597667/1532495540865888858358347027150309183618739122183602176 binary64)) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 #s(approx (+ ( c a) (* b_2 b_2)) (.f64 c a))))) a) (/.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 -5109351192408883/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2)) (/.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 -5109351192408883/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (.f64 #s(literal -1/2 binary64) c) b_2)) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (/ 1/2 b_2) (/ c b_2)) (/ -2 a)) (/.f64 #s(literal -2 binary64) a)) b_2)))
(if (<=.f64 b_2 #s(literal -5109351192408883/5109351192408882717840314145374306729132675226714771306246520940639262443184548008409492391661147394788716663921132787824569441250287599771492279803609168436019214522754779331884896566897569247187592593266032445422926874765109428195555469487226993043218229521601935466604437747789680665415385088 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) #s(approx (/ (- (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (.f64 #s(approx (+ ( (/ 1/2 b_2) (/ c b_2)) (/ -2 a)) (/.f64 #s(literal -2 binary64) a)) b_2)))
(if (<=.f64 b_2 #s(literal -8538845061402167/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856 binary64)) #s(approx (/ (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) #s(approx (/ (- ( b_2 b_2) (- (* b_2 b_2) (* a c))) (* a (+ (* -1 b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/.f64 c #s(literal 0 binary64))))
(if (<=.f64 b_2 #s(literal 8256483666814883/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #s(approx (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* a (+ (* -1 b_2) (sqrt (- (* b_2 b_2) (* a c)))))) #s(literal 0 binary64)) #s(approx (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* a (+ (* -1 b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/.f64 c #s(literal 0 binary64))))
#s(approx (/ (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* a (+ (* -1 b_2) (sqrt (- (* b_2 b_2) (* a c)))))) #s(literal 0 binary64))

soundness887.0ms (11.5%)

Memory

-18.8MiB live, 364.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	896	4999
1	2957	4673
0	8474	4458
0	1909	12774
1	6416	12566
0	8297	12131
0	45	275
0	65	274
1	278	260
2	2005	256
0	8567	250
0	528	2732
1	1657	2699
2	5611	2679
0	8218	2554
0	10	41
0	17	41
1	68	41
2	503	38
3	6590	38
0	8305	38
0	41	245
0	67	241
1	261	229
2	1940	229
0	8709	229

Stop Event

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

Compiler

Compiled 1 047 to 490 computations (53.2% saved)

preprocess92.0ms (1.2%)

Memory: 32.2MiB live, 106.6MiB allocated
Compiler: Compiled 1 296 to 266 computations (79.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	50
0	17	50
1	32	50
2	59	50
3	121	50
4	200	50
5	356	50
6	620	50
7	743	50
8	848	50
9	865	50
10	866	50
0	866	50

Iter	Nodes	Cost
0	10	50
0	17	50
1	32	50
2	59	50
3	121	50
4	200	50
5	356	50
6	620	50
7	743	50
8	848	50
9	865	50
10	866	50
0	866	50

start0.0ms (0%)

analyze134.0ms (1.7%)

sample1.9s (24.7%)

explain204.0ms (2.6%)

preprocess111.0ms (1.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify23.0ms (0.3%)

localize53.0ms (0.7%)

series23.0ms (0.3%)

simplify165.0ms (2.1%)

rewrite197.0ms (2.5%)

eval204.0ms (2.6%)

prune15.0ms (0.2%)

simplify162.0ms (2.1%)

localize130.0ms (1.7%)

series201.0ms (2.6%)

simplify190.0ms (2.5%)

rewrite257.0ms (3.3%)

eval250.0ms (3.2%)

prune99.0ms (1.3%)

simplify166.0ms (2.1%)

localize249.0ms (3.2%)

series55.0ms (0.7%)

simplify197.0ms (2.6%)

rewrite189.0ms (2.5%)

eval123.0ms (1.6%)

prune34.0ms (0.4%)

simplify120.0ms (1.6%)

localize95.0ms (1.2%)

series69.0ms (0.9%)

simplify184.0ms (2.4%)

rewrite387.0ms (5%)

eval180.0ms (2.3%)

prune33.0ms (0.4%)

regimes52.0ms (0.7%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes8.0ms (0.1%)

regimes3.0ms (0%)

regimes4.0ms (0%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

bsearch39.0ms (0.5%)

bsearch19.0ms (0.2%)

bsearch50.0ms (0.6%)

bsearch3.0ms (0%)

bsearch25.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch18.0ms (0.2%)

bsearch16.0ms (0.2%)

simplify61.0ms (0.8%)

soundness887.0ms (11.5%)

preprocess92.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	50
0	17	50
1	32	50
2	59	50
3	121	50
4	200	50
5	356	50
6	620	50
7	743	50
8	848	50
9	865	50
10	866	50
0	866	50