Metrics for quad2p (problem 3.2.1, positive)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze133.0ms (1.8%)

Memory

-3.5MiB live, 109.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 12 computations (20% saved)

sample1.4s (18.3%)

Memory

72.5MiB live, 1 271.7MiB allocated

Samples

372.0ms	5 547×	0	valid
277.0ms	1 199×	2	valid
172.0ms	1 326×	1	valid
122.0ms	1 076×	0	invalid
43.0ms	184×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 728.0ms

ival-mult: 185.0ms (25.4% of total)

ival-div: 128.0ms (17.6% of total)

ival-sub: 107.0ms (14.7% of total)

ival-sqrt: 100.0ms (13.7% of total)

ival-add: 80.0ms (11% of total)

adjust: 71.0ms (9.7% of total)

ival-neg: 47.0ms (6.5% of total)

ival-true: 7.0ms (1% of total)

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

Bogosity

explain230.0ms (3%)

Memory

-17.2MiB live, 139.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
103	-	1	(-5.456131616699697e-150 4.144108055569096e-276 1.5115775446353436e-169)	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`
54	-	0	-	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`
16	-	3	(8.487081695328215e-91 6.471749422147598e+226 -18987348.961108085)	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
1	-	0	-	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`
0	-	0	-	`(*.f64 b_2 b_2)`
0	-	0	-	`a`
0	-	0	-	`(neg.f64 b_2)`
0	-	0	-	`b_2`
0	-	0	-	`(*.f64 a c)`
0	-	0	-	`c`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	oflow-rescue	93	0
↳	`(*.f64 b_2 b_2)`	overflow	78
↳	`(*.f64 a c)`	overflow	19
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	overflow	93
`+.f64`	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	cancellation	54	0
`/.f64`	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`	u/n	13	0
↳	`(*.f64 b_2 b_2)`	underflow	39
↳	`(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))`	underflow	19
↳	`(*.f64 a c)`	underflow	37
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	9
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))`	uflow-rescue	9	0
↳	`(*.f64 b_2 b_2)`	underflow	39
↳	`(*.f64 a c)`	underflow	37
↳	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	underflow	9
`-.f64`	`(-.f64 (.f64 b_2 b_2) (.f64 a c))`	nan-rescue	1	0
↳	`(*.f64 b_2 b_2)`	overflow	78
↳	`(*.f64 a c)`	overflow	19

Confusion

	Predicted +	Predicted -
+	123	1
-	22	110

Precision

0.8482758620689655

Recall

0.9919354838709677

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	123	0	1
-	22	0	110

Precision?

0.8482758620689655

Recall?

0.9919354838709677

Freqs

test

number	freq
0	111
1	120
2	25

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

42.0ms	64×	1	valid
36.0ms	72×	2	valid
27.0ms	368×	0	valid
2.0ms	8×	3	valid

Compiler

Compiled 167 to 44 computations (73.7% saved)

Precisions

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

ival-mult: 7.0ms (22.3% of total)

ival-sqrt: 6.0ms (19.1% of total)

ival-div: 5.0ms (15.9% of total)

ival-sub: 4.0ms (12.7% of total)

adjust: 4.0ms (12.7% of total)

ival-add: 3.0ms (9.6% of total)

ival-neg: 2.0ms (6.4% of total)

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

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

preprocess117.0ms (1.5%)

Memory

12.5MiB live, 48.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify71.0ms (0.9%)

Memory

-26.6MiB live, 22.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	50
0	17	50
1	28	48
2	45	48
3	74	48
4	113	48
5	189	48
6	322	48
7	475	48
8	828	48
9	942	48
10	974	48
11	985	48
12	986	48
0	986	48

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize43.0ms (0.6%)

Memory

-4.7MiB live, 34.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.20312500000000003	(-.f64 (.f64 b_2 b_2) (.f64 a c))
accuracy	3.443207372650129	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
accuracy	12.208239713143481	(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
accuracy	23.959108965414416	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Samples

13.0ms	184×	0	valid
7.0ms	36×	2	valid
4.0ms	32×	1	valid
1.0ms	4×	3	valid

Compiler

Compiled 102 to 22 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 4.0ms (25.8% of total)

ival-sqrt: 3.0ms (19.4% of total)

ival-sub: 2.0ms (12.9% of total)

ival-div: 2.0ms (12.9% of total)

adjust: 2.0ms (12.9% of total)

ival-add: 2.0ms (12.9% of total)

ival-neg: 1.0ms (6.5% of total)

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

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

series19.0ms (0.2%)

Memory

19.1MiB live, 19.1MiB allocated

Counts

5 → 98

Calls

Call 1

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

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

Calls

9 calls:

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

simplify205.0ms (2.7%)

Memory

14.2MiB live, 88.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

98 → 97

Calls

Call 1

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

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

rewrite184.0ms (2.4%)

Memory

-5.9MiB live, 76.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

5 → 449

Calls

Call 1

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

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

eval71.0ms (0.9%)

Memory: -29.0MiB live, 96.1MiB allocated
Compiler: Compiled 15 289 to 2 194 computations (85.6% saved)

prune16.0ms (0.2%)

Memory

28.5MiB live, 28.5MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	530	13	543
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	530	14	544

Accuracy

90.8%

Counts

544 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	37.6%	(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) a)
	9.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 12 binary64)) (pow.f64 (.f64 c a) #s(literal 6 binary64))) (.f64 (fma.f64 c a (.f64 b_2 b_2)) (+.f64 (pow.f64 (.f64 (fma.f64 c a (.f64 b_2 b_2)) (.f64 c a)) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 8 binary64))))))) a)
	18.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))) a)
✓	54.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
▶	18.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))))) a)
▶	43.4%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2)))) a)
	37.6%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
▶	26.5%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) 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)
	35.4%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
	27.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (*.f64 #s(literal -1/2 binary64) c)) b_2))
	30.5%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
▶	35.0%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
▶	35.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))

Compiler

Compiled 617 to 424 computations (31.3% saved)

simplify120.0ms (1.6%)

Memory

-7.9MiB live, 103.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))))) a)
cost-diff	128	(+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64))))))
cost-diff	5888	(neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))
cost-diff	8064	(.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64))))
cost-diff	0	(fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))
cost-diff	0	(neg.f64 b_2)
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
cost-diff	832	(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
cost-diff	0	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
cost-diff	128	(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))
cost-diff	0	(/.f64 b_2 a)
cost-diff	0	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2)))) a)
cost-diff	128	(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2))))
cost-diff	1024	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	433
0	78	433
1	126	420
2	272	380
3	831	380
4	2602	358
5	6592	352
0	8169	350

Stop Event

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

Calls

Call 1

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

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

localize128.0ms (1.7%)

Memory

7.1MiB live, 165.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.390004396588	(pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64))
accuracy	0.49999449521112044	(fma.f64 c a (*.f64 b_2 b_2))
accuracy	5.830450669052779	(sqrt.f64 (.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))))
accuracy	11.443916222604843	(.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64))))
accuracy	0.0	(neg.f64 b_2)
accuracy	0.03125	(/.f64 (/.f64 c b_2) b_2)
accuracy	6.369212400425188	(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))
accuracy	23.639712939788556	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))))
accuracy	0.00390625	(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))))
accuracy	0.1015625	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
accuracy	5.826546681651175	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))
accuracy	21.16229702279798	#s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))
accuracy	0.0	(/.f64 b_2 a)
accuracy	0.01953125	(*.f64 #s(literal -2 binary64) (/.f64 b_2 a))
accuracy	23.48039311113875	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
accuracy	2.7676078346058963	(/.f64 (*.f64 c a) b_2)
accuracy	3.3219299368820105	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2)
accuracy	3.584971775440838	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2)
accuracy	5.826546681651175	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2)))

Samples

60.0ms	158×	0	invalid
25.0ms	98×	0	valid

Compiler

Compiled 790 to 87 computations (89% saved)

Precisions

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

ival-mult: 21.0ms (38.6% of total)

ival-div: 12.0ms (22% of total)

ival-add: 7.0ms (12.9% of total)

ival-pow: 4.0ms (7.3% of total)

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

ival-sub: 2.0ms (3.7% of total)

ival-neg: 2.0ms (3.7% of total)

ival-pow2: 2.0ms (3.7% of total)

exact: 1.0ms (1.8% of total)

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

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

series70.0ms (0.9%)

Memory

-11.3MiB live, 106.3MiB allocated

Counts

25 → 275

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
15.0ms	a	@	inf	((* (- 1 (/ (/ (* c a) b_2) b_2)) b_2) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -2 (/ b_2 a)) (/ b_2 a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (- (* b_2 b_2) (* a c))) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (neg (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (neg b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))))) (/ (+ (neg b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))))) a) (sqrt (- (* b_2 b_2) (* a c))) (* (* (- 1 (/ (/ (* c a) b_2) b_2)) b_2) b_2) (/ (* c a) b_2) (- (* b_2 b_2) (* a c)) (/ (/ c b_2) b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1)))) (+ (* c a) (* b_2 b_2)) (pow (+ (* c a) (* b_2 b_2)) -1))
9.0ms	c	@	0	((* (- 1 (/ (/ (* c a) b_2) b_2)) b_2) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -2 (/ b_2 a)) (/ b_2 a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (- (* b_2 b_2) (* a c))) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (neg (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (neg b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))))) (/ (+ (neg b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))))) a) (sqrt (- (* b_2 b_2) (* a c))) (* (* (- 1 (/ (/ (* c a) b_2) b_2)) b_2) b_2) (/ (* c a) b_2) (- (* b_2 b_2) (* a c)) (/ (/ c b_2) b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1)))) (+ (* c a) (* b_2 b_2)) (pow (+ (* c a) (* b_2 b_2)) -1))
7.0ms	c	@	-inf	((* (- 1 (/ (/ (* c a) b_2) b_2)) b_2) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -2 (/ b_2 a)) (/ b_2 a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (- (* b_2 b_2) (* a c))) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (neg (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (neg b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))))) (/ (+ (neg b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))))) a) (sqrt (- (* b_2 b_2) (* a c))) (* (* (- 1 (/ (/ (* c a) b_2) b_2)) b_2) b_2) (/ (* c a) b_2) (- (* b_2 b_2) (* a c)) (/ (/ c b_2) b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1)))) (+ (* c a) (* b_2 b_2)) (pow (+ (* c a) (* b_2 b_2)) -1))
7.0ms	b_2	@	-inf	((* (- 1 (/ (/ (* c a) b_2) b_2)) b_2) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -2 (/ b_2 a)) (/ b_2 a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (- (* b_2 b_2) (* a c))) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (neg (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (neg b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))))) (/ (+ (neg b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))))) a) (sqrt (- (* b_2 b_2) (* a c))) (* (* (- 1 (/ (/ (* c a) b_2) b_2)) b_2) b_2) (/ (* c a) b_2) (- (* b_2 b_2) (* a c)) (/ (/ c b_2) b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1)))) (+ (* c a) (* b_2 b_2)) (pow (+ (* c a) (* b_2 b_2)) -1))
6.0ms	c	@	inf	((* (- 1 (/ (/ (* c a) b_2) b_2)) b_2) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* -2 (/ b_2 a)) (/ b_2 a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (- (* b_2 b_2) (* a c))) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (neg (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (neg b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))))) (/ (+ (neg b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))))) a) (sqrt (- (* b_2 b_2) (* a c))) (* (* (- 1 (/ (/ (* c a) b_2) b_2)) b_2) b_2) (/ (* c a) b_2) (- (* b_2 b_2) (* a c)) (/ (/ c b_2) b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1)))) (+ (* c a) (* b_2 b_2)) (pow (+ (* c a) (* b_2 b_2)) -1))

simplify800.0ms (10.5%)

Memory

-38.1MiB live, 261.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1117	7433
1	3602	7325
0	8146	7014

Stop Event

1×	iter limit
1×	node limit

Counts

275 → 274

Calls

Call 1

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

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

rewrite162.0ms (2.1%)

Memory

12.7MiB live, 207.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	348
0	78	335
1	290	294
2	2197	291
0	9022	291

Stop Event

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

Counts

25 → 779

Calls

Call 1

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

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

eval124.0ms (1.6%)

Memory: -13.3MiB live, 216.1MiB allocated
Compiler: Compiled 34 174 to 4 424 computations (87.1% saved)

prune43.0ms (0.6%)

Memory

-16.0MiB live, 70.7MiB allocated

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	940	16	956
Fresh	2	6	8
Picked	4	1	5
Done	0	1	1
Total	946	24	970

Accuracy

90.9%

Counts

970 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	19.1%	(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 a c) b_2) b_2)) b_2) b_2))) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a c) b_2) b_2)) b_2) b_2))))))
	26.5%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))) b_2) a)
	13.4%	(/.f64 (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (.f64 #s(literal 0 binary64) b_2)))) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
	18.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (.f64 c a) #s(literal 3 binary64))) (fma.f64 (fma.f64 c a (.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))) a)
✓	54.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	18.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (.f64 (pow.f64 (fma.f64 c a (.f64 b_2 b_2)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))) a)
▶	37.6%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
	36.5%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (/ (* c a) b_2) b_2)) b_2) (.f64 (fma.f64 (neg.f64 a) (/.f64 c (.f64 b_2 b_2)) #s(literal 1 binary64)) b_2)) b_2)))) a)
	43.1%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (/ (* c a) b_2) b_2)) b_2) (*.f64 (-.f64 (/.f64 b_2 c) (/.f64 a b_2)) c)) b_2)))) a)
	31.6%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (/ (* c a) b_2) b_2)) b_2) (*.f64 (neg.f64 a) (/.f64 c b_2))) b_2)))) 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)
	24.5%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 a c) b_2))) a)
	35.4%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
▶	43.3%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a c) b_2) b_2)) b_2) b_2))) b_2)))
	20.0%	(.f64 (pow.f64 (/.f64 a (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 a c) b_2) b_2)) b_2) b_2)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a c) b_2) b_2)) b_2) b_2)))) #s(literal -1 binary64)))
	27.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (.f64 (.f64 c c) a) b_2) (*.f64 #s(literal -1/2 binary64) c)) b_2))
	35.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -2 binary64) (/.f64 a b_2)))
	30.5%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
	35.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal 2 binary64) a) (neg.f64 b_2)))
▶	7.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 b_2) #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64)))))
✓	35.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
	12.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (exp.f64 (.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)))))
	35.2%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
▶	7.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))

Compiler

Compiled 1 316 to 842 computations (36% saved)

simplify134.0ms (1.8%)

Memory

27.3MiB live, 101.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 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 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a c) b_2) b_2)) b_2) b_2)))
cost-diff	704	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a c) b_2) b_2)) b_2) b_2)
cost-diff	1024	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 a c) b_2) b_2)) 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 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
cost-diff	128	(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
cost-diff	0	#s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64)))
cost-diff	0	(neg.f64 b_2)
cost-diff	0	(.f64 (neg.f64 b_2) #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64))))
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 b_2) #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 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) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.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) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
cost-diff	0	(/.f64 a (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a c) b_2) b_2)) b_2) b_2))) b_2))
cost-diff	704	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a c) b_2) b_2)) b_2) b_2)
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a c) b_2) b_2)) b_2) b_2))) b_2)))
cost-diff	1024	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 a c) b_2) b_2)) b_2)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	635
0	78	635
1	134	631
2	296	627
3	822	627
4	2382	532
5	4461	530
6	6646	530
7	7711	530
8	7819	530
9	7865	530
10	7890	530
0	8125	525

Stop Event

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

Calls

Call 1

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

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

localize217.0ms (2.8%)

Memory

-16.7MiB live, 221.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	12.442697006860962	(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a c) b_2) b_2)) b_2) b_2))))
accuracy	19.937799265473597	(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 a c) b_2) b_2)) b_2) b_2))) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a c) b_2) b_2)) b_2) b_2))))))
accuracy	23.959108965414416	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a c) b_2) b_2)) b_2) b_2)))
accuracy	33.588556691109765	(-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a c) b_2) b_2)) b_2) b_2)))
accuracy	3.443207372650129	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a)
accuracy	12.208239713143481	(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))
accuracy	23.959108965414416	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))
accuracy	37.95283529737319	#s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))
accuracy	6.474681150425188	(.f64 (neg.f64 b_2) #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64))))
accuracy	7.1174597721919115	(/.f64 c (*.f64 b_2 b_2))
accuracy	38.55601886094786	#s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64)))
accuracy	41.47677395876076	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 b_2) #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64)))))
accuracy	0.0	(/.f64 c b_2)
accuracy	0.00390625	(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))
accuracy	38.885461789754885	#s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))
accuracy	41.47677395876076	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))
accuracy	3.584971775440838	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 a c) b_2) b_2)) b_2)
accuracy	4.004040960773741	(/.f64 (*.f64 a c) b_2)
accuracy	12.208239713143481	(-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a c) b_2) b_2)) b_2) b_2))) b_2)
accuracy	23.959108965414416	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 a c) b_2) b_2)) b_2) b_2)))

Samples

59.0ms	57×	1	valid
56.0ms	84×	2	valid
26.0ms	100×	0	valid
17.0ms	15×	3	valid

Compiler

Compiled 1 018 to 92 computations (91% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-mult: 45.0ms (39% of total)

ival-div: 28.0ms (24.3% of total)

ival-sub: 19.0ms (16.5% of total)

adjust: 12.0ms (10.4% of total)

ival-sqrt: 4.0ms (3.5% of total)

ival-add: 4.0ms (3.5% of total)

ival-neg: 2.0ms (1.7% of total)

exact: 1.0ms (0.9% of total)

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

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

series51.0ms (0.7%)

Memory

37.4MiB live, 73.7MiB allocated

Counts

24 → 204

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	b_2	@	-inf	((* (- 1 (/ (/ (* a c) b_2) b_2)) b_2) (/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2))) (* (* (- 1 (/ (/ (* a c) b_2) b_2)) b_2) b_2) (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (* 1/2 (/ c b_2)) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ (* a c) b_2) (/ c (* b_2 b_2)) (- (* b_2 b_2) (* a c)) (/ (- (* b_2 b_2) (- (* 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)))))
6.0ms	c	@	inf	((* (- 1 (/ (/ (* a c) b_2) b_2)) b_2) (/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2))) (* (* (- 1 (/ (/ (* a c) b_2) b_2)) b_2) b_2) (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (* 1/2 (/ c b_2)) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ (* a c) b_2) (/ c (* b_2 b_2)) (- (* b_2 b_2) (* a c)) (/ (- (* b_2 b_2) (- (* 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)))))
6.0ms	c	@	-inf	((* (- 1 (/ (/ (* a c) b_2) b_2)) b_2) (/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2))) (* (* (- 1 (/ (/ (* a c) b_2) b_2)) b_2) b_2) (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (* 1/2 (/ c b_2)) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ (* a c) b_2) (/ c (* b_2 b_2)) (- (* b_2 b_2) (* a c)) (/ (- (* b_2 b_2) (- (* 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)))))
5.0ms	a	@	inf	((* (- 1 (/ (/ (* a c) b_2) b_2)) b_2) (/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2))) (* (* (- 1 (/ (/ (* a c) b_2) b_2)) b_2) b_2) (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (* 1/2 (/ c b_2)) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ (* a c) b_2) (/ c (* b_2 b_2)) (- (* b_2 b_2) (* a c)) (/ (- (* b_2 b_2) (- (* 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)))))
5.0ms	a	@	-inf	((* (- 1 (/ (/ (* a c) b_2) b_2)) b_2) (/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2))) (* (* (- 1 (/ (/ (* a c) b_2) b_2)) b_2) b_2) (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (* 1/2 (/ c b_2)) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (* b_2 b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (/ (* a c) b_2) (/ c (* b_2 b_2)) (- (* b_2 b_2) (* a c)) (/ (- (* b_2 b_2) (- (* 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)))))

simplify176.0ms (2.3%)

Memory

-12.1MiB live, 175.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1147	6060
1	3846	5817
0	8310	5585

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 203

Calls

Call 1

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

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

rewrite288.0ms (3.8%)

Memory

4.9MiB live, 377.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	440
0	78	415
1	289	407
2	2292	407
0	8531	402

Stop Event

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

Counts

24 → 798

Calls

Call 1

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

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

eval136.0ms (1.8%)

Memory: 4.5MiB live, 230.8MiB allocated
Compiler: Compiled 59 958 to 4 560 computations (92.4% saved)

prune37.0ms (0.5%)

Memory

-11.9MiB live, 77.6MiB allocated

Pruning

29 alts after pruning (25 fresh and 4 done)

	Pruned	Kept	Total
New	1 059	15	1 074
Fresh	7	10	17
Picked	3	2	5
Done	0	2	2
Total	1 069	29	1 098

Accuracy

90.9%

Counts

1 098 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.4%	(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 a c) b_2) b_2)) b_2) b_2))) (.f64 a (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2))))))))
	33.9%	(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))))
	37.6%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) a)
	26.5%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))) b_2) a)
	13.4%	(/.f64 (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (.f64 #s(literal 0 binary64) b_2)))) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
✓	54.3%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	31.6%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (/ (* c a) b_2) b_2)) b_2) (*.f64 (neg.f64 a) (/.f64 c b_2))) b_2)))) a)
	36.5%	(/.f64 (.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (pow.f64 a #s(literal -1 binary64))) (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))))
	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)
	35.4%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
▶	19.1%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2)))) a) (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2)))))
	41.8%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b_2 c) a)) b_2)) b_2) b_2))) b_2)))
	37.6%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2)))
▶	54.2%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) #s(approx (* (* (- 1 (/ (/ (* a c) b_2) b_2)) b_2) b_2) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))))) b_2)))
▶	30.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))))
	29.8%	(/.f64 #s(literal 1 binary64) #s(approx (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64))))
	29.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) (.f64 (-.f64 (.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) c)) b_2)))
	37.6%	(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) #s(literal -1 binary64)))
	35.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -2 binary64) (/.f64 a b_2)))
▶	30.5%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
	35.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal 2 binary64) a) (neg.f64 b_2)))
✓	7.7%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 b_2) #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (.f64 (/.f64 c (.f64 b_2 b_2)) #s(literal -1/2 binary64)))))
	1.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 b_2) #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (.f64 (/.f64 c (exp.f64 (.f64 (log.f64 (neg.f64 b_2)) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))))
✓	35.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
	12.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (exp.f64 (.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)))))
	35.2%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))))
	7.9%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c))))
▶	7.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) b_2))))
✓	7.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))

Compiler

Compiled 1 552 to 1 002 computations (35.4% saved)

simplify87.0ms (1.1%)

Memory

5.2MiB live, 80.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2)))) a)
cost-diff	128	(/.f64 (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2)))) a) (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2))))
cost-diff	320	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2)))) a) (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2)))))
cost-diff	1024	(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2)
cost-diff	0	(/.f64 a b_2)
cost-diff	0	(fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))
cost-diff	0	#s(approx (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64))))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))))
cost-diff	0	(*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) b_2))
cost-diff	0	#s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) b_2)))
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) b_2))))
cost-diff	832	(/.f64 (neg.f64 c) #s(literal -1 binary64))
cost-diff	0	(/.f64 c b_2)
cost-diff	0	(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
cost-diff	0	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) #s(approx (* (* (- 1 (/ (/ (* a c) b_2) b_2)) b_2) b_2) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))))
cost-diff	0	(-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) #s(approx (* (* (- 1 (/ (/ (* a c) b_2) b_2)) b_2) b_2) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))))) b_2)
cost-diff	0	(/.f64 a (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) #s(approx (* (* (- 1 (/ (/ (* a c) b_2) b_2)) b_2) b_2) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))))) b_2))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) #s(approx (* (* (- 1 (/ (/ (* a c) b_2) b_2)) b_2) b_2) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))))) b_2)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	669
0	100	664
1	172	661
2	342	649
3	943	649
4	3236	575
5	6245	575
0	8207	573

Stop Event

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

Calls

Call 1

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

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

localize266.0ms (3.5%)

Memory

-11.3MiB live, 232.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	12.442697006860962	(-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2))))
accuracy	20.137116861241694	(/.f64 (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2)))) a) (-.f64 (.f64 b_2 b_2) #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2))))
accuracy	23.959108965414416	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2)))
accuracy	33.588556691109765	(-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2)))
accuracy	0.0	(*.f64 (/.f64 b_2 c) #s(literal -2 binary64))
accuracy	0.00390625	(fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))
accuracy	0.5799318505277353	(/.f64 #s(literal 1 binary64) #s(approx (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))))
accuracy	44.44561298153072	#s(approx (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64))))
accuracy	0.0	(neg.f64 c)
accuracy	0.24609375	(*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) b_2))
accuracy	38.885461789754885	#s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) b_2)))
accuracy	41.47677395876076	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) b_2))))
accuracy	0.0	(/.f64 c b_2)
accuracy	0.00390625	(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))
accuracy	44.49499097960966	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
accuracy	0.5799318505277353	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) #s(approx (* (* (- 1 (/ (/ (* a c) b_2) b_2)) b_2) b_2) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))))) b_2)))
accuracy	3.4018833288080152	(/.f64 a (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) #s(approx (* (* (- 1 (/ (/ (* a c) b_2) b_2)) b_2) b_2) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))))) b_2))
accuracy	12.208239713143481	(-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) #s(approx (* (* (- 1 (/ (/ (* a c) b_2) b_2)) b_2) b_2) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))))) b_2)
accuracy	23.959108965414416	(sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) #s(approx (* (* (- 1 (/ (/ (* a c) b_2) b_2)) b_2) b_2) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)))))

Samples

135.0ms	84×	2	valid
34.0ms	100×	0	valid
31.0ms	57×	1	valid
17.0ms	15×	3	valid

Compiler

Compiled 1 037 to 125 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 123.0ms

ival-div: 53.0ms (43.2% of total)

ival-mult: 26.0ms (21.2% of total)

adjust: 17.0ms (13.9% of total)

ival-sub: 12.0ms (9.8% of total)

ival-add: 7.0ms (5.7% of total)

ival-sqrt: 5.0ms (4.1% of total)

ival-neg: 3.0ms (2.4% of total)

exact: 1.0ms (0.8% of total)

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

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

series58.0ms (0.8%)

Memory

6.7MiB live, 43.7MiB allocated

Counts

24 → 243

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
18.0ms	c	@	inf	((/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2))) (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (neg c) -1) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (* (/ (neg c) -1) (/ 1/2 b_2)) (/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2))) (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) (+ (* (/ a b_2) 1/2) (* (/ b_2 c) -2)) (/ a b_2) (* (- 1 (/ (/ (* c a) b_2) b_2)) b_2) (/ 1 (/ (* (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))))) (/ (* (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (* b_2 b_2) (- (* b_2 b_2) (* a c)))) (* (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg c) (* (/ b_2 c) -2) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (sqrt (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))
7.0ms	c	@	0	((/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2))) (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (neg c) -1) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (* (/ (neg c) -1) (/ 1/2 b_2)) (/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2))) (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) (+ (* (/ a b_2) 1/2) (* (/ b_2 c) -2)) (/ a b_2) (* (- 1 (/ (/ (* c a) b_2) b_2)) b_2) (/ 1 (/ (* (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))))) (/ (* (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (* b_2 b_2) (- (* b_2 b_2) (* a c)))) (* (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg c) (* (/ b_2 c) -2) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (sqrt (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))
4.0ms	c	@	-inf	((/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2))) (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (neg c) -1) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (* (/ (neg c) -1) (/ 1/2 b_2)) (/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2))) (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) (+ (* (/ a b_2) 1/2) (* (/ b_2 c) -2)) (/ a b_2) (* (- 1 (/ (/ (* c a) b_2) b_2)) b_2) (/ 1 (/ (* (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))))) (/ (* (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (* b_2 b_2) (- (* b_2 b_2) (* a c)))) (* (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg c) (* (/ b_2 c) -2) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (sqrt (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))
4.0ms	b_2	@	0	((/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2))) (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (neg c) -1) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (* (/ (neg c) -1) (/ 1/2 b_2)) (/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2))) (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) (+ (* (/ a b_2) 1/2) (* (/ b_2 c) -2)) (/ a b_2) (* (- 1 (/ (/ (* c a) b_2) b_2)) b_2) (/ 1 (/ (* (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))))) (/ (* (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (* b_2 b_2) (- (* b_2 b_2) (* a c)))) (* (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg c) (* (/ b_2 c) -2) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (sqrt (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))
4.0ms	b_2	@	-inf	((/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2))) (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) (- (sqrt (- (* b_2 b_2) (* a c))) b_2) (sqrt (- (* b_2 b_2) (* a c))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (neg c) -1) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (* (/ (neg c) -1) (/ 1/2 b_2)) (/ 1 (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2))) (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) (+ (* (/ a b_2) 1/2) (* (/ b_2 c) -2)) (/ a b_2) (* (- 1 (/ (/ (* c a) b_2) b_2)) b_2) (/ 1 (/ (* (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))))) (/ (* (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (- (* b_2 b_2) (- (* b_2 b_2) (* a c)))) (* (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg c) (* (/ b_2 c) -2) (- (* b_2 b_2) (- (* b_2 b_2) (* a c))) (sqrt (- (* b_2 b_2) (* a c))) (- (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))

simplify198.0ms (2.6%)

Memory

32.9MiB live, 221.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1357	7591
1	4584	7355
0	8748	7065

Stop Event

1×	iter limit
1×	node limit

Counts

243 → 241

Calls

Call 1

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

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

rewrite232.0ms (3%)

Memory

-39.2MiB live, 246.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	517
0	100	512
1	402	449
2	2888	449
0	8851	447

Stop Event

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

Counts

24 → 710

Calls

Call 1

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

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

eval162.0ms (2.1%)

Memory: 36.3MiB live, 185.0MiB allocated
Compiler: Compiled 52 440 to 4 285 computations (91.8% saved)

prune48.0ms (0.6%)

Memory

-23.4MiB live, 102.8MiB allocated

Pruning

33 alts after pruning (28 fresh and 5 done)

	Pruned	Kept	Total
New	961	13	974
Fresh	5	15	20
Picked	2	3	5
Done	2	2	4
Total	970	33	1 003

Accuracy

90.9%

Counts

1 003 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.4%	(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 a c) b_2) b_2)) b_2) b_2))) (.f64 a (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c a) b_2) b_2)) b_2) b_2))))))))
	33.9%	(/.f64 (-.f64 (.f64 b_2 b_2) #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) (.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))))))
	37.6%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) a)
	26.5%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2))) b_2) a)
	54.3%	(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) #s(approx (* (* (- 1 (/ (/ (* a c) b_2) b_2)) b_2) b_2) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))))) b_2) a)
	13.4%	(/.f64 (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (.f64 #s(literal 0 binary64) b_2)))) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a)
	31.6%	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (.f64 #s(approx ( (- 1 (/ (/ (* c a) b_2) b_2)) b_2) (*.f64 (neg.f64 a) (/.f64 c b_2))) b_2)))) a)
	35.4%	(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)
	34.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 c a) b_2) b_2)) b_2) b_2)))) a) #s(approx (- ( b_2 b_2) (- (* b_2 b_2) (* a c))) (*.f64 c a))))
	37.6%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2)))
✓	54.2%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) #s(approx (* (* (- 1 (/ (/ (* a c) b_2) b_2)) b_2) b_2) (fma.f64 (neg.f64 a) c (*.f64 b_2 b_2))))) b_2)))
	31.2%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 a (-.f64 #s(approx (- ( b_2 b_2) (* a c)) #s(approx (* (* (- 1 (/ (/ (* a c) b_2) b_2)) b_2) b_2) (fma.f64 (neg.f64 c) a (.f64 b_2 b_2)))) (.f64 b_2 b_2))) (+.f64 (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) #s(approx (* (* (- 1 (/ (/ (* a c) b_2) b_2)) b_2) b_2) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))))) b_2)))
	13.9%	(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (.f64 (log.f64 #s(approx (/ a (- (sqrt (- ( b_2 b_2) (* a c))) b_2)) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 c))))) #s(literal -1 binary64)))))
✓	30.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))))
	12.5%	(/.f64 #s(literal 1 binary64) #s(approx (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) (.f64 (-.f64 (pow.f64 (.f64 (/.f64 a b_2) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) (/.f64 b_2 c)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 b_2 c))) #s(literal -1 binary64)))))
	29.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) (.f64 (-.f64 (.f64 (/.f64 a (*.f64 b_2 b_2)) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) c)) b_2)))
	2.4%	(/.f64 #s(literal 1 binary64) #s(approx (/ a (- (sqrt (- (* b_2 b_2) (* a c))) b_2)) #s(approx (+ (* (/ a b_2) 1/2) (* (/ b_2 c) -2)) (*.f64 (/.f64 a b_2) #s(literal 1/2 binary64)))))
	37.6%	(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c))) b_2) #s(literal -1 binary64)))
	13.9%	(exp.f64 (.f64 (log.f64 #s(approx (/ a (- (sqrt (- ( b_2 b_2) (* a c))) b_2)) (fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 c))))) #s(literal -1 binary64)))
	29.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)))
	35.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -2 binary64) (/.f64 a b_2)))
✓	30.5%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))
	35.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal 2 binary64) a) (neg.f64 b_2)))
	30.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c))
	30.3%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 b_2 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c))) #s(literal -1/2 binary64)))
	1.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 (neg.f64 b_2) #s(approx (+ ( (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (.f64 (/.f64 c (exp.f64 (.f64 (log.f64 (neg.f64 b_2)) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))))
✓	35.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))
	12.4%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (exp.f64 (.f64 (log.f64 (/.f64 a b_2)) #s(literal -1 binary64)))))
	35.2%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 b_2 a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))))
	7.9%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c))))
	7.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 (/.f64 #s(literal 1/2 binary64) b_2) c)))
	3.9%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (.f64 (exp.f64 (.f64 (log.f64 (pow.f64 c #s(literal -1 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) b_2))))
✓	7.8%	#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))

Compiler

Compiled 2 764 to 996 computations (64% saved)

regimes95.0ms (1.3%)

Memory

15.2MiB live, 90.7MiB allocated

Counts

58 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

43.0ms	c
17.0ms	a
16.0ms	b_2
15.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
55.9%	2	`a`
85.1%	3	`b_2`
57.4%	3	`c`
79.1%	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)

regimes8.0ms (0.1%)

Memory

15.6MiB live, 15.6MiB allocated

Counts

22 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

7.0ms

b_2

Results

Accuracy	Segments	Branch
82.0%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes11.0ms (0.1%)

Memory

-23.1MiB live, 13.5MiB allocated

Counts

19 → 3

Calls

Call 1

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

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

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

Calls

1 calls:

10.0ms

b_2

Results

Accuracy	Segments	Branch
81.9%	3	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes11.0ms (0.1%)

Memory

21.4MiB live, 21.4MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

5.0ms	b_2
5.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
51.6%	3	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
63.5%	2	`b_2`

Compiler

Compiled 14 to 13 computations (7.1% saved)

regimes2.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Counts

4 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

2.0ms

b_2

Results

Accuracy	Segments	Branch
63.3%	2	`b_2`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes10.0ms (0.1%)

Memory

-29.5MiB live, 14.2MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

Calls

4 calls:

5.0ms	b_2
2.0ms	a
2.0ms	c
2.0ms	(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Accuracy	Segments	Branch
35.4%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
35.4%	1	`c`
35.4%	1	`a`
40.3%	2	`b_2`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

regimes6.0ms (0.1%)

Memory

11.8MiB live, 11.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
7.8%	1	`c`
7.8%	1	`(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
7.8%	1	`a`
7.8%	1	`b_2`

Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch36.0ms (0.5%)

Memory

-13.0MiB live, 61.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
26.0ms	1.4467664015433678e-31	1.9286958178934223e-22
4.0ms	-3.159225595158891e+114	-2.858380877994218e+104

Samples

8.0ms	94×	0	valid
7.0ms	39×	2	valid
5.0ms	43×	1	valid
2.0ms	29×	0	invalid

Compiler

Compiled 639 to 436 computations (31.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 3.0ms (19.7% of total)

adjust: 2.0ms (13.2% of total)

ival-div: 2.0ms (13.2% of total)

ival-add: 2.0ms (13.2% of total)

ival-sqrt: 2.0ms (13.2% of total)

ival-sub: 2.0ms (13.2% of total)

ival-neg: 2.0ms (13.2% of total)

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

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

bsearch35.0ms (0.5%)

Memory

10.5MiB live, 48.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	1.4467664015433678e-31	1.9286958178934223e-22
11.0ms	-1.4817621167145917e-19	-2.4308938610438993e-20

Samples

8.0ms	129×	0	valid
1.0ms	8×	2	valid
1.0ms	16×	0	invalid
1.0ms	7×	1	valid

Compiler

Compiled 676 to 508 computations (24.9% saved)

Precisions

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

ival-mult: 2.0ms (26.4% of total)

ival-div: 1.0ms (13.2% of total)

ival-add: 1.0ms (13.2% of total)

ival-sqrt: 1.0ms (13.2% of total)

ival-sub: 1.0ms (13.2% of total)

ival-neg: 1.0ms (13.2% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch2.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.4467664015433678e-31	1.9286958178934223e-22
1.0ms	-1.4817621167145917e-19	-2.4308938610438993e-20

Compiler

Compiled 556 to 436 computations (21.6% saved)

bsearch30.0ms (0.4%)

Memory

24.9MiB live, 24.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	-1.0366877984390325e-298	3.228982184291042e-294

Samples

11.0ms	176×	0	valid
6.0ms	97×	0	invalid

Compiler

Compiled 434 to 346 computations (20.3% saved)

Precisions

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

ival-mult: 3.0ms (28.1% of total)

ival-div: 2.0ms (18.7% of total)

ival-sqrt: 2.0ms (18.7% of total)

ival-sub: 1.0ms (9.4% of total)

ival-add: 1.0ms (9.4% of total)

ival-neg: 1.0ms (9.4% of total)

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

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

bsearch44.0ms (0.6%)

Memory

-40.3MiB live, 9.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
44.0ms	-1.0366877984390325e-298	3.228982184291042e-294

Samples

2.0ms	32×	0	valid
2.0ms	25×	0	invalid

Compiler

Compiled 434 to 346 computations (20.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 1.0ms (44% of total)

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

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

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

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

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

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

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

bsearch28.0ms (0.4%)

Memory

3.4MiB live, 39.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	2.6604057154233047e+29	6.209375796176888e+33

Samples

6.0ms	34×	2	valid
5.0ms	42×	1	valid
5.0ms	7×	0	invalid
3.0ms	47×	0	valid
1.0ms	5×	3	valid

Compiler

Compiled 440 to 328 computations (25.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 6.0ms (38.3% of total)

adjust: 2.0ms (12.8% of total)

ival-sqrt: 2.0ms (12.8% of total)

ival-mult: 2.0ms (12.8% of total)

ival-sub: 1.0ms (6.4% of total)

ival-add: 1.0ms (6.4% of total)

ival-neg: 1.0ms (6.4% of total)

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

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

simplify94.0ms (1.2%)

Memory

24.2MiB live, 59.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	78	421
1	121	408
2	228	408
3	591	408
4	1783	397
5	3518	394
6	7356	394

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 b_2 #s(literal -2000000000000000031118832258933686048536402793842122866739541160861667562329511406529970779830094895352412561735680 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) (if (<=.f64 b_2 #s(literal 5023911878324979/22835963083295358096932575511191922182123945984 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) #s(approx (* (* (- 1 (/ (/ (* a c) b_2) b_2)) b_2) b_2) (fma.f64 (neg.f64 c) a (.f64 b_2 b_2))))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -4070760737091305/166153499473114484112975882535043072 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) (if (<=.f64 b_2 #s(literal 1883966954371867/11417981541647679048466287755595961091061972992 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -4070760737091305/166153499473114484112975882535043072 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))) (if (<=.f64 b_2 #s(literal 1883966954371867/11417981541647679048466287755595961091061972992 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
(if (<=.f64 b_2 #s(literal 202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)))
(if (<=.f64 b_2 #s(literal 269999999999999999739349172224 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))

Outputs
(if (<=.f64 b_2 #s(literal -2000000000000000031118832258933686048536402793842122866739541160861667562329511406529970779830094895352412561735680 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) (if (<=.f64 b_2 #s(literal 5023911878324979/22835963083295358096932575511191922182123945984 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) #s(approx (* (* (- 1 (/ (/ (* a c) b_2) b_2)) b_2) b_2) (fma.f64 (neg.f64 c) a (.f64 b_2 b_2))))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -2000000000000000031118832258933686048536402793842122866739541160861667562329511406529970779830094895352412561735680 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) (if (<=.f64 b_2 #s(literal 5023911878324979/22835963083295358096932575511191922182123945984 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx ( (* (- 1 (/ (/ (* a c) b_2) b_2)) b_2) b_2) #s(approx (* (* (- 1 (/ (/ (* a c) b_2) b_2)) b_2) b_2) (fma.f64 (neg.f64 c) a (.f64 b_2 b_2))))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -4070760737091305/166153499473114484112975882535043072 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) (if (<=.f64 b_2 #s(literal 1883966954371867/11417981541647679048466287755595961091061972992 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -4070760737091305/166153499473114484112975882535043072 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) (if (<=.f64 b_2 #s(literal 1883966954371867/11417981541647679048466287755595961091061972992 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx ( (* (- 1 (/ (/ (* a c) b_2) b_2)) b_2) b_2) (.f64 (neg.f64 a) c))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -4070760737091305/166153499473114484112975882535043072 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))) (if (<=.f64 b_2 #s(literal 1883966954371867/11417981541647679048466287755595961091061972992 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- ( b_2 b_2) (* a c)) (.f64 (neg.f64 a) c))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -4070760737091305/166153499473114484112975882535043072 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))) (if (<=.f64 b_2 #s(literal 1883966954371867/11417981541647679048466287755595961091061972992 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx ( (* (- 1 (/ (/ (* a c) b_2) b_2)) b_2) b_2) (.f64 (neg.f64 a) c))) b_2) a) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))))
(if (<=.f64 b_2 #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))
(if (<=.f64 b_2 #s(literal 202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)))
(if (<=.f64 b_2 #s(literal 269999999999999999739349172224 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (.f64 #s(literal -2 binary64) (/.f64 b_2 a))) #s(approx (/ (+ (neg b_2) (sqrt (- ( b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))))
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))))

soundness1.0s (13.2%)

Memory

-21.3MiB live, 721.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	67	517
0	100	512
1	402	449
2	2888	449
0	8851	447
0	508	2832
1	1606	2798
2	5550	2747
0	8048	2611
0	1117	7433
1	3602	7325
0	8146	7014
0	52	440
0	78	415
1	289	407
2	2292	407
0	8531	402
0	1147	6060
1	3846	5817
0	8310	5585
0	48	348
0	78	335
1	290	294
2	2197	291
0	9022	291

Stop Event

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

Compiler

Compiled 818 to 314 computations (61.6% saved)

preprocess178.0ms (2.3%)

Memory: -11.4MiB live, 102.8MiB allocated
Compiler: Compiled 1 082 to 230 computations (78.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	50
0	17	50
1	28	48
2	45	48
3	74	48
4	113	48
5	189	48
6	322	48
7	475	48
8	828	48
9	942	48
10	974	48
11	985	48
12	986	48
0	986	48

Iter	Nodes	Cost
0	10	50
0	17	50
1	28	48
2	45	48
3	74	48
4	113	48
5	189	48
6	322	48
7	475	48
8	828	48
9	942	48
10	974	48
11	985	48
12	986	48
0	986	48

start0.0ms (0%)

analyze133.0ms (1.8%)

sample1.4s (18.3%)

explain230.0ms (3%)

preprocess117.0ms (1.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify71.0ms (0.9%)

localize43.0ms (0.6%)

series19.0ms (0.2%)

simplify205.0ms (2.7%)

rewrite184.0ms (2.4%)

eval71.0ms (0.9%)

prune16.0ms (0.2%)

simplify120.0ms (1.6%)

localize128.0ms (1.7%)

series70.0ms (0.9%)

simplify800.0ms (10.5%)

rewrite162.0ms (2.1%)

eval124.0ms (1.6%)

prune43.0ms (0.6%)

simplify134.0ms (1.8%)

localize217.0ms (2.8%)

series51.0ms (0.7%)

simplify176.0ms (2.3%)

rewrite288.0ms (3.8%)

eval136.0ms (1.8%)

prune37.0ms (0.5%)

simplify87.0ms (1.1%)

localize266.0ms (3.5%)

series58.0ms (0.8%)

simplify198.0ms (2.6%)

rewrite232.0ms (3%)

eval162.0ms (2.1%)

prune48.0ms (0.6%)

regimes95.0ms (1.3%)

regimes8.0ms (0.1%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

regimes2.0ms (0%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch36.0ms (0.5%)

bsearch35.0ms (0.5%)

bsearch2.0ms (0%)

bsearch30.0ms (0.4%)

bsearch44.0ms (0.6%)

bsearch28.0ms (0.4%)

simplify94.0ms (1.2%)

soundness1.0s (13.2%)

preprocess178.0ms (2.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	50
0	17	50
1	28	48
2	45	48
3	74	48
4	113	48
5	189	48
6	322	48
7	475	48
8	828	48
9	942	48
10	974	48
11	985	48
12	986	48
0	986	48