Metrics for quadm (p42, negative)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze159.0ms (2%)

Memory

37.4MiB live, 172.6MiB allocated; 14ms collecting garbage

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
40%	37.4%	56.2%	0.1%	0%	6.2%	0%	7
48.3%	45.2%	48.4%	0.1%	0%	6.2%	0%	8
53%	48.4%	42.9%	0.1%	0%	8.6%	0%	9
58.1%	50.3%	36.3%	0.1%	0%	13.3%	0%	10
66.1%	56.8%	29.1%	0.1%	0%	14%	0%	11
70.4%	58.8%	24.7%	0.1%	0%	16.4%	0%	12

Compiler

Compiled 19 to 16 computations (15.8% saved)

sample1.9s (24.5%)

Memory

52.0MiB live, 1 920.1MiB allocated; 288ms collecting garbage

Samples

577.0ms	5 544×	0	valid
299.0ms	1 323×	1	valid
288.0ms	1 208×	2	valid
114.0ms	922×	0	invalid
61.0ms	181×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 884.0ms

ival-mult: 287.0ms (32.5% of total)

adjust: 162.0ms (18.3% of total)

ival-sub: 147.0ms (16.6% of total)

ival-sqrt: 112.0ms (12.7% of total)

ival-div: 96.0ms (10.9% of total)

ival-neg: 59.0ms (6.7% of total)

exact: 10.0ms (1.1% of total)

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

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain238.0ms (3%)

Memory

-11.0MiB live, 179.3MiB allocated; 28ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
100	0	-	0	-	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))`
57	3	(-4.667865131374669e-159 -3.6041568875589504e-109 -3.789595164361554e-274)	0	-	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`
24	0	-	4	(-5.241725602733053e-65 -1.0094816720777306e+144 1.4508200907217725e-110)	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
4	0	-	0	-	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`
0	0	-	0	-	`a`
0	0	-	0	-	`(.f64 #s(literal 4 binary64) (.f64 a c))`
0	0	-	0	-	`(*.f64 a c)`
0	0	-	0	-	`#s(literal 4 binary64)`
0	0	-	0	-	`(*.f64 b b)`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) a)`
0	0	-	0	-	`c`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(neg.f64 b)`
0	0	-	0	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))`	oflow-rescue	92	0
↳	`(*.f64 b b)`	overflow	68
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	overflow	32
↳	`(*.f64 a c)`	overflow	32
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	overflow	92
`-.f64`	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`	cancellation	60	0
`/.f64`	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`	u/n	19	0
↳	`(*.f64 b b)`	underflow	41
↳	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`	underflow	29
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	underflow	36
↳	`(*.f64 a c)`	underflow	36
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	underflow	8
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))`	uflow-rescue	8	0
↳	`(*.f64 b b)`	underflow	41
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	underflow	36
↳	`(*.f64 a c)`	underflow	36
↳	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	underflow	8
`-.f64`	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`	nan-rescue	4	0
↳	`(*.f64 b b)`	overflow	68
↳	`(.f64 #s(literal 4 binary64) (.f64 a c))`	overflow	32
↳	`(*.f64 a c)`	overflow	32
`/.f64`	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`	n/o	1	0
↳	`(*.f64 #s(literal 2 binary64) a)`	overflow	1

Confusion

	Predicted +	Predicted -
+	139	0
-	11	106

Precision

0.9266666666666666

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	139	0	0
-	11	0	106

Precision?

0.9266666666666666

Recall?

1.0

Freqs

test

number	freq
0	106
1	117
2	32
3	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

46.0ms	336×	0	valid
23.0ms	92×	2	valid
13.0ms	72×	1	valid
4.0ms	12×	3	valid

Compiler

Compiled 161 to 46 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 16.0ms (35% of total)

adjust: 8.0ms (17.5% of total)

ival-sub: 7.0ms (15.3% of total)

ival-sqrt: 6.0ms (13.1% of total)

ival-div: 5.0ms (10.9% of total)

ival-neg: 2.0ms (4.4% of total)

exact: 1.0ms (2.2% of total)

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

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

preprocess81.0ms (1%)

Memory

-25.7MiB live, 30.1MiB allocated; 15ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	158
1	164	151
2	414	151
3	836	151
4	1096	151
5	1233	151
6	1312	151
7	1326	151
0	14	17
0	23	17
1	43	17
2	91	17
3	170	17
4	253	17
5	304	17
6	314	17
7	342	17
8	378	17
9	405	17
0	405	16

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Outputs

(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a))

(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))

Compiler

Compiled 17 to 14 computations (17.6% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.1%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify10.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 b)
cost-diff	0	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))
cost-diff	0	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))
cost-diff	1	(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	70
0	23	70
1	43	70
2	91	70
3	170	70
4	253	70
5	304	70
6	314	70
7	342	70
8	378	70
9	405	70
0	405	66

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))
(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))
(*.f64 b b)
(.f64 #s(literal 4 binary64) (.f64 a c))
#s(literal 4 binary64)
(*.f64 a c)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)

Outputs
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))
(neg.f64 b)
b
(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(*.f64 b b)
(.f64 #s(literal 4 binary64) (.f64 a c))
(.f64 (.f64 c #s(literal 4 binary64)) a)
#s(literal 4 binary64)
(*.f64 a c)
(*.f64 c a)
a
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)

localize50.0ms (0.6%)

Memory

-1.2MiB live, 46.3MiB allocated; 2ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.8007812500000001	(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))
accuracy	5.108694687483678	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))
accuracy	12.3129303076892	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))
accuracy	23.353930970309268	(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))

Samples

15.0ms	168×	0	valid
12.0ms	46×	2	valid
11.0ms	36×	1	valid
2.0ms	6×	3	valid

Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions

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

ival-mult: 8.0ms (33.8% of total)

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

adjust: 4.0ms (16.9% of total)

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

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

ival-neg: 1.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.3%)

Memory

19.8MiB live, 19.8MiB allocated; 0ms collecting garbage

Counts

5 → 99

Calls

Call 1

Inputs
(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))
(neg.f64 b)
(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))

Outputs
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(- (pow b 2) (* 4 (* a c)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -1 b)
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -2 (/ (* a c) b))
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	c	@	-inf	((- (* b b) (* 4 (* a c))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c)))))
3.0ms	a	@	inf	((- (* b b) (* 4 (* a c))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c)))))
3.0ms	b	@	inf	((- (* b b) (* 4 (* a c))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c)))))
3.0ms	a	@	-inf	((- (* b b) (* 4 (* a c))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c)))))
2.0ms	b	@	0	((- (* b b) (* 4 (* a c))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c)))))

simplify186.0ms (2.4%)

Memory

-26.2MiB live, 116.0MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	545	2723
1	1785	2702
2	7277	2702
0	8059	2563

Stop Event

1×	iter limit
1×	node limit

Counts

99 → 98

Calls

Call 1

Inputs
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(- (pow b 2) (* 4 (* a c)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -1 b)
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -2 (/ (* a c) b))
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))

Outputs
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 (fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) a (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 (.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 c b)) a (neg.f64 b)) a)
(* -2 b)
(*.f64 #s(literal -2 binary64) b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(.f64 (-.f64 (/.f64 (.f64 c a) b) b) #s(literal 2 binary64))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(fma.f64 (.f64 #s(literal 2 binary64) (fma.f64 (.f64 c c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a (*.f64 #s(literal -2 binary64) b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (.f64 (/.f64 c b) #s(literal 2 binary64))) a (*.f64 #s(literal -2 binary64) b))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b)
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (.f64 #s(literal -2 binary64) a) (fma.f64 (.f64 c c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) b)
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) (.f64 (pow.f64 c #s(literal 3 binary64)) (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (.f64 #s(literal -2 binary64) (fma.f64 (.f64 c c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))) a b)
(* -4 (* a c))
(.f64 (.f64 c a) #s(literal -4 binary64))
(* a (- (/ (pow b 2) a) (* 4 c)))
(.f64 (fma.f64 #s(literal -4 binary64) c (.f64 b (/.f64 b a))) a)
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(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 6 binary64))) (.f64 (.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) a)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) (neg.f64 b))
(* -2 (/ (* a c) b))
(.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))
(/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (.f64 a a) b) (/.f64 (.f64 c c) b) (.f64 c a))) (neg.f64 b))
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(/.f64 (fma.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (.f64 a a) b) (/.f64 (.f64 c c) b) (*.f64 c a)))) (neg.f64 b))
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))
(/.f64 (-.f64 (fma.f64 (.f64 (.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (.f64 (fma.f64 (/.f64 (.f64 a a) b) (/.f64 (.f64 c c) b) (.f64 c a)) #s(literal -2 binary64))) (neg.f64 b))
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(.f64 (fma.f64 (/.f64 (/.f64 (.f64 c a) b) b) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(.f64 (fma.f64 (fma.f64 (/.f64 a b) (/.f64 c b) (/.f64 (.f64 (.f64 (.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64)))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(.f64 (fma.f64 (/.f64 (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -4 binary64) (fma.f64 (fma.f64 (/.f64 a b) (/.f64 c b) (/.f64 (.f64 (.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64)))) #s(literal -2 binary64) #s(literal 1 binary64))) (neg.f64 b))
(+ (* -1 (/ b a)) (/ c b))
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(fma.f64 (.f64 #s(literal 2 binary64) (fma.f64 c (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b))) c (*.f64 #s(literal -2 binary64) b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (.f64 (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal 2 binary64))) c (.f64 (/.f64 a b) #s(literal 2 binary64))) c (*.f64 #s(literal -2 binary64) b))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(fma.f64 (.f64 #s(literal -2 binary64) c) (fma.f64 c (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b)) b)
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (.f64 (.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -2 binary64))) c (.f64 (/.f64 a b) #s(literal -2 binary64))) c b)
(* c (- (/ (pow b 2) c) (* 4 a)))
(.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (.f64 b b) c)) c)
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(.f64 (.f64 c #s(literal -1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (/.f64 b a) c)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1/4 binary64) (.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (/.f64 b a) c)) #s(literal -1/2 binary64))) c)
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (/.f64 b a) c)) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64)))) (.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64))))))) c)
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(.f64 (-.f64 (/.f64 (neg.f64 b) c) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) c)
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(.f64 (-.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b c))) c)
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(.f64 (-.f64 (.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b c)))) c)
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) c)
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))) c)
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))) c)
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (/.f64 (.f64 (neg.f64 b) b) c)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(.f64 (neg.f64 c) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(neg.f64 (.f64 (neg.f64 c) (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 b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) c))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(.f64 (neg.f64 c) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/128 binary64)))) (neg.f64 c))) c))))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 b c)))
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))) b) (neg.f64 c))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (.f64 b b)) #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/64 binary64)))) (neg.f64 c)) b) (neg.f64 c))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal -1/64 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 1/512 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/64 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))))

rewrite234.0ms (3%)

Memory

-26.9MiB live, 196.8MiB allocated; 81ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	51
0	23	51
1	73	51
2	493	50
3	6058	50
0	8175	46

Stop Event

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

Counts

5 → 268

Calls

Call 1

Inputs
(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))
(neg.f64 b)
(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) (-.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b)))
(.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))))))
(.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b)))) #s(literal 3 binary64)) (pow.f64 b #s(literal 12 binary64)))) (fma.f64 (.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b)))) (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64))))
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(/.f64 (hypot.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b)) (sqrt.f64 (fma.f64 (neg.f64 b) b (.f64 #s(literal -4 binary64) (*.f64 c a)))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 (.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))))
(/.f64 (hypot.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (.f64 c #s(literal 4 binary64)) (.f64 a (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))
(fabs.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))))
(exp.f64 (.f64 (log.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))

eval46.0ms (0.6%)

Memory: 31.5MiB live, 78.3MiB allocated; 6ms collecting garbage
Compiler: Compiled 13 820 to 1 736 computations (87.4% saved)

prune19.0ms (0.2%)

Memory

-1.5MiB live, 43.0MiB allocated; 5ms collecting garbage

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	349	16	365
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	350	16	366

Accuracy

89.0%

Counts

366 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.3%	(/.f64 (fma.f64 (/.f64 b #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) a) (.f64 a (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (.f64 a (.f64 #s(literal -2 binary64) a)))
▶	29.2%	(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
	22.8%	(/.f64 (-.f64 (fma.f64 (.f64 c a) #s(literal 4 binary64) (.f64 b b)) (.f64 b b)) (.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (*.f64 #s(literal -2 binary64) a)))
	33.0%	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (.f64 (.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))
▶	49.1%	(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
	44.3%	(/.f64 (.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (neg.f64 b) (fma.f64 b b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (neg.f64 b) (fma.f64 b b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) (.f64 #s(literal 2 binary64) a))
	18.6%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (.f64 a a) b) (/.f64 (.f64 c c) b) (.f64 c a))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))
▶	26.5%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
▶	48.5%	(+.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a)))
	30.7%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a)))
	30.8%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
	34.0%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) (neg.f64 b)))
	22.8%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) (neg.f64 b)))
	29.2%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a))
	31.0%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
▶	36.3%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))

Compiler

Compiled 938 to 590 computations (37.1% saved)

simplify153.0ms (1.9%)

Memory

-41.5MiB live, 149.7MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))
cost-diff	6	(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
cost-diff	7	(fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
cost-diff	0	(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
cost-diff	0	(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
cost-diff	0	(/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (*.f64 #s(literal -2 binary64) a))
cost-diff	4	(+.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a)))
cost-diff	0	(*.f64 (/.f64 a b) #s(literal -2 binary64))
cost-diff	0	(.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)
cost-diff	0	#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c))
cost-diff	0	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
cost-diff	0	(neg.f64 b)
cost-diff	0	(/.f64 c (neg.f64 b))
cost-diff	0	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
cost-diff	0	(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
cost-diff	0	(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
cost-diff	0	(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)
cost-diff	0	(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	332
0	62	325
1	120	325
2	266	310
3	793	302
4	2593	298
5	7213	298
0	8453	298

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
#s(literal -4 binary64)
(*.f64 c a)
c
a
(*.f64 b b)
b
(*.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
(/.f64 c (neg.f64 b))
c
(neg.f64 b)
b
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c))
(.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)
(*.f64 (/.f64 a b) #s(literal -2 binary64))
(/.f64 a b)
a
b
#s(literal -2 binary64)
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(+.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a)))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (*.f64 #s(literal -2 binary64) a))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
#s(literal -4 binary64)
(*.f64 c a)
c
a
(*.f64 b b)
b
(*.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
(/.f64 b (*.f64 #s(literal -2 binary64) a))
(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))
(fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
(neg.f64 b)
b
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
#s(literal -4 binary64)
(*.f64 c a)
c
a
(*.f64 b b)
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)

Outputs
(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)
(+.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))) b)
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
(sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))
#s(literal -4 binary64)
(*.f64 c a)
(*.f64 a c)
c
a
(*.f64 b b)
b
(*.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
(/.f64 c (neg.f64 b))
c
(neg.f64 b)
b
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c))
(.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)
(*.f64 (/.f64 a b) #s(literal -2 binary64))
(/.f64 a b)
a
b
#s(literal -2 binary64)
c
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)
(+.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a)))
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (*.f64 #s(literal -2 binary64) a))
(/.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))) (*.f64 #s(literal -2 binary64) a))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
(sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))
#s(literal -4 binary64)
(*.f64 c a)
(*.f64 a c)
c
a
(*.f64 b b)
b
(*.f64 #s(literal -2 binary64) a)
#s(literal -2 binary64)
(/.f64 b (*.f64 #s(literal -2 binary64) a))
(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (*.f64 b b)))))
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))
(/.f64 (.f64 (.f64 a c) #s(literal -4 binary64)) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))))
(fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
(.f64 (.f64 a c) #s(literal -4 binary64))
(neg.f64 b)
b
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))
#s(literal -4 binary64)
(*.f64 c a)
(*.f64 a c)
c
a
(*.f64 b b)
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))
(-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
(sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))
(*.f64 #s(literal 2 binary64) a)
#s(literal 2 binary64)

localize225.0ms (2.9%)

Memory

23.0MiB live, 299.3MiB allocated; 66ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	11.21476687034148	(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))
accuracy	16.52205437537213	(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))
accuracy	23.353930970309268	(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
accuracy	37.26143941397994	(fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
accuracy	0.3512865699146134	(/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (*.f64 #s(literal -2 binary64) a))
accuracy	0.8007812500000001	(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
accuracy	16.940813815504807	(+.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a)))
accuracy	23.353930970309268	(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
accuracy	0.015625	(*.f64 (/.f64 a b) #s(literal -2 binary64))
accuracy	3.3398642486513426	(.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)
accuracy	5.108694687483678	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
accuracy	40.73215633512714	#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c))
accuracy	0.0	(/.f64 c (neg.f64 b))
accuracy	0.0	(neg.f64 b)
accuracy	40.76833578005951	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
accuracy	0.8007812500000001	(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
accuracy	5.108694687483678	(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
accuracy	12.3129303076892	(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)
accuracy	23.353930970309268	(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))

Samples

64.0ms	64×	1	valid
61.0ms	81×	2	valid
23.0ms	95×	0	valid
14.0ms	16×	3	valid

Compiler

Compiled 332 to 37 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-mult: 35.0ms (31.4% of total)

ival-div: 28.0ms (25.1% of total)

adjust: 24.0ms (21.5% of total)

ival-add: 9.0ms (8.1% of total)

ival-sqrt: 7.0ms (6.3% of total)

ival-sub: 6.0ms (5.4% of total)

exact: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

series84.0ms (1.1%)

Memory

13.2MiB live, 56.5MiB allocated; 13ms collecting garbage

Counts

17 → 242

Calls

Call 1

Inputs
(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
(/.f64 c (neg.f64 b))
(neg.f64 b)
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c))
(.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)
(*.f64 (/.f64 a b) #s(literal -2 binary64))
(+.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a)))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (*.f64 #s(literal -2 binary64) a))
(fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))

Outputs
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(* -2 (/ (* a c) b))
(* -2 (/ a b))
(* -1/2 (/ b a))
(/ (+ (* -1/2 b) (/ (* a c) b)) a)
(/ (+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(+ (* -1 (pow b 2)) (pow b 2))
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2)))
(* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* (pow a 2) c)))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* 1/2 (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))))) (pow a 2))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* -1/2 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))) (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))))) (pow a 2))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (* -1/2 (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))))))) (pow a 2))
(* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* a c)))
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* -2 b) (* -1 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* -2 b) (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* a (+ (* -4 c) (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a))))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) a)
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) a)
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))))) a)
(* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) (* -4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (* -4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) a)) (* 4 c))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ (* 1/2 (/ (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))) a)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (+ (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))))) (* -1 (* a b))) a)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (/ (* (pow b 2) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))) c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) a)) (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* -1 (* a b))) a)))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(* -1 (/ c b))
(* -1 b)
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
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(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
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(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
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(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1))))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) c)) (* 4 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c))) c)) (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))))) (* -1 (* b c))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (/ (* (pow b 2) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c)))) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* -1 (* b c))) c)))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))

Calls

9 calls:

Time	Variable		Point	Expression
28.0ms	c	@	0	((/ (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (neg b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ a b) -2) c) (* (/ a b) -2) (+ (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))))
8.0ms	c	@	inf	((/ (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (neg b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ a b) -2) c) (* (/ a b) -2) (+ (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))))
7.0ms	a	@	0	((/ (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (neg b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ a b) -2) c) (* (/ a b) -2) (+ (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))))
7.0ms	b	@	inf	((/ (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (neg b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ a b) -2) c) (* (/ a b) -2) (+ (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))))
7.0ms	c	@	-inf	((/ (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (neg b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ a b) -2) c) (* (/ a b) -2) (+ (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))))

simplify249.0ms (3.2%)

Memory

6.7MiB live, 192.8MiB allocated; 83ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1344	9714
1	4883	8804
0	8723	8390

Stop Event

1×	iter limit
1×	node limit

Counts

242 → 241

Calls

Call 1

Inputs
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(* -2 (/ (* a c) b))
(* -2 (/ a b))
(* -1/2 (/ b a))
(/ (+ (* -1/2 b) (/ (* a c) b)) a)
(/ (+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(+ (* -1 (pow b 2)) (pow b 2))
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2)))
(* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* (pow a 2) c)))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* 1/2 (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))))) (pow a 2))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* -1/2 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))) (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))))) (pow a 2))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (* -1/2 (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))))))) (pow a 2))
(* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* a c)))
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* -2 b) (* -1 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* -2 b) (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* a (+ (* -4 c) (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a))))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) a)
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) a)
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))))) a)
(* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) (* -4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (* -4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
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(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
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(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
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(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
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(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
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(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
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(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))
(* 1/2 (/ b a))
(* -1 (* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a)))))
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b))
(* -1 (/ (+ (* -4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b))
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))
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(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(+ (* -1/2 (/ b a)) (/ c b))
(+ (* -1/2 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1/2 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* 1/2 (* c (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))))) c)
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* c (+ (* -1/2 (/ (* a (* c (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b)))))) (pow b 2))) (* 1/2 (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b)))))))) c)
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* c (+ (* 1/2 (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (* c (+ (* -1/2 (* c (+ (* -1 (/ (* (pow a 2) (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 4))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) (pow a 3))) (* 2 (/ (* (pow a 2) (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 4))))))) (* -1/2 (/ (* a (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 2)))))))) c)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (+ (* -2 b) (* -1 (* c (+ (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (+ (* -2 b) (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) (pow a 2))) (* 2 (/ (* (pow a 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (+ (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c)
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* c (+ (* -4 a) (+ (* -1 (/ (pow b 2) c)) (/ (pow b 2) c))))
(+ (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))
(+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))))
(+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (* -4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2)))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1))))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) c)) (* 4 a))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c))) c)) (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))))) (* -1 (* b c))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (/ (* (pow b 2) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c)))) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* -1 (* b c))) c)))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))

Outputs
(* -1 (/ b a))
(/.f64 (neg.f64 b) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) a (neg.f64 b)) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (.f64 #s(literal 2 binary64) a) (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) a (neg.f64 b)) a)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(.f64 #s(literal -2 binary64) (-.f64 (/.f64 (.f64 a c) b) b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a (*.f64 #s(literal 2 binary64) b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (.f64 #s(literal -2 binary64) (/.f64 c b))) a (*.f64 #s(literal 2 binary64) b))
b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b) b)
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a b)
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (.f64 #s(literal -2 binary64) (/.f64 c b))) a b)
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(fma.f64 #s(literal -4 binary64) (.f64 a c) (.f64 b b))
(* -2 b)
(*.f64 #s(literal -2 binary64) b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(.f64 #s(literal 2 binary64) (-.f64 (/.f64 (.f64 a c) b) b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(fma.f64 (.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a (*.f64 #s(literal -2 binary64) b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (.f64 #s(literal 2 binary64) (/.f64 c b))) a (*.f64 #s(literal -2 binary64) b))
(* -2 (/ (* a c) b))
(.f64 #s(literal -2 binary64) (/.f64 (.f64 a c) b))
(* -2 (/ a b))
(*.f64 (/.f64 a b) #s(literal -2 binary64))
(* -1/2 (/ b a))
(*.f64 #s(literal -1/2 binary64) (/.f64 b a))
(/ (+ (* -1/2 b) (/ (* a c) b)) a)
(/.f64 (fma.f64 #s(literal -1/2 binary64) b (/.f64 (*.f64 a c) b)) a)
(/ (+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (fma.f64 (fma.f64 a (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) a (.f64 #s(literal -1/2 binary64) b)) a)
(/ (+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (.f64 #s(literal 2 binary64) a) (/.f64 (.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) a (*.f64 #s(literal -1/2 binary64) b)) a)
(+ (* -1 (pow b 2)) (pow b 2))
#s(literal 0 binary64)
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2)))
(fma.f64 #s(literal -4 binary64) (*.f64 a c) #s(literal 0 binary64))
(* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* (pow a 2) c)))
(.f64 (.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* 1/2 (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))))) (pow a 2))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) (-.f64 (.f64 #s(literal -2 binary64) b) (/.f64 #s(literal 0 binary64) b)) (.f64 (.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64))) (*.f64 a a))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* -1/2 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))) (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))))) (pow a 2))
(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (.f64 c (+.f64 (/.f64 (-.f64 (.f64 #s(literal -2 binary64) b) (/.f64 #s(literal 0 binary64) b)) (.f64 b b)) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64))))) a) (-.f64 (.f64 #s(literal -2 binary64) b) (/.f64 #s(literal 0 binary64) b)))) a (.f64 (.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64))) (*.f64 a a))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (* -1/2 (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))))))) (pow a 2))
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(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 a c) #s(literal 3 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1))))))))
(.f64 (neg.f64 c) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 a c) #s(literal 3 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/128 binary64)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))))))))
(.f64 (neg.f64 c) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 a c) #s(literal 3 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 7 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1/1024 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/128 binary64))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) c)) (* 4 a))))
(*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a #s(literal 0 binary64)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))) c)))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (.f64 (/.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64) (.f64 b (/.f64 c a))) c) #s(literal -1/2 binary64)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64) (.f64 b (/.f64 c a)))))) c) (fma.f64 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64) (.f64 b (/.f64 c a))))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c))) c)) (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) c)))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64) (.f64 b (/.f64 c a))) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64) (.f64 b (/.f64 c a)))))) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64) (.f64 b (/.f64 c a))))))) (.f64 (/.f64 (.f64 (.f64 (.f64 b b) c) (fma.f64 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/2 binary64) (.f64 b (/.f64 c a)))) a) #s(literal -1/8 binary64))) c))) (neg.f64 c))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))) c)))
(fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 a c))) #s(literal -2 binary64) (/.f64 (fma.f64 (.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64) (*.f64 b c)) (neg.f64 c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))))) (* -1 (* b c))) c)))
(fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) b) (.f64 (fma.f64 (.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64) (.f64 b c)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))) (.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)))) (*.f64 b c)) (neg.f64 c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (/ (* (pow b 2) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c)))) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* -1 (* b c))) c)))
(fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64) (.f64 b c)))))) (.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64) (.f64 b c)) (.f64 b b)) a) #s(literal -1/8 binary64))) (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64) (.f64 b c)))))) c) #s(literal -1 binary64) (fma.f64 (.f64 (.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64) (*.f64 b c))) (neg.f64 c)))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (-.f64 (/.f64 (neg.f64 b) c) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) b) c) #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (/.f64 (-.f64 b (/.f64 (fma.f64 (.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)))) c)) c) #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))

rewrite211.0ms (2.7%)

Memory

9.5MiB live, 237.2MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	236
0	62	229
1	232	229
2	1797	229
0	8440	229

Stop Event

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

Counts

17 → 642

Calls

Call 1

Inputs
(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
(/.f64 c (neg.f64 b))
(neg.f64 b)
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c))
(.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)
(*.f64 (/.f64 a b) #s(literal -2 binary64))
(+.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a)))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (*.f64 #s(literal -2 binary64) a))
(fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))

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

eval143.0ms (1.8%)

Memory: 11.4MiB live, 195.5MiB allocated; 25ms collecting garbage
Compiler: Compiled 52 894 to 4 694 computations (91.1% saved)

prune35.0ms (0.4%)

Memory

28.6MiB live, 75.6MiB allocated; 2ms collecting garbage

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	1 187	12	1 199
Fresh	5	6	11
Picked	2	3	5
Done	0	0	0
Total	1 194	21	1 215

Accuracy

89.0%

Counts

1 215 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.2%	(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) a) (.f64 a b)) (.f64 a (.f64 #s(literal -2 binary64) a)))
	22.8%	(/.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (fma.f64 b b (.f64 (neg.f64 b) b))) (.f64 (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)))
	46.2%	(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) b) (*.f64 #s(literal -2 binary64) a))
▶	46.5%	(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (.f64 a c) #s(literal 0 binary64))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (.f64 #s(literal 2 binary64) a))
✓	49.1%	(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
▶	33.1%	(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (fma.f64 (.f64 a (/.f64 c (.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (.f64 b b)))) b) (*.f64 #s(literal -2 binary64) a))
	33.0%	(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) b) (*.f64 #s(literal -2 binary64) a))
	44.3%	(/.f64 (.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (neg.f64 b) (fma.f64 b b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (neg.f64 b) (fma.f64 b b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) (.f64 #s(literal 2 binary64) a))
	25.6%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (.f64 (.f64 #s(literal -2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a))
✓	26.5%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
▶	26.5%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
▶	33.0%	(+.f64 (/.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a)))
	8.4%	(+.f64 #s(approx (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (.f64 (-.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 b))) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
	26.1%	#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) c) (-.f64 (.f64 #s(literal -2 binary64) (/.f64 b a)) (/.f64 #s(literal 0 binary64) b)) (.f64 (.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64))) c))
▶	10.7%	#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (.f64 (.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64)))
	30.7%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a)))
	30.8%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
	34.0%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) (neg.f64 b)))
	29.2%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a))
	31.0%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
✓	36.3%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))

Compiler

Compiled 1 202 to 762 computations (36.6% saved)

simplify121.0ms (1.5%)

Memory

-32.3MiB live, 115.7MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	61	500
0	93	480
1	173	476
2	399	448
3	1447	448
4	7104	448
0	8085	448

Stop Event

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

Calls

Call 1

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

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

localize294.0ms (3.7%)

Memory

2.8MiB live, 235.1MiB allocated; 56ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	6.825360419692632	(/.f64 c (*.f64 b b))
accuracy	10.063190725827239	(.f64 (fma.f64 (.f64 a (/.f64 c (.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (.f64 b b))
accuracy	12.3129303076892	(+.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (fma.f64 (.f64 a (/.f64 c (.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (.f64 b b)))) b)
accuracy	23.353930970309268	(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (fma.f64 (.f64 a (/.f64 c (.f64 b b))) #s(literal -4 binary64) #s(literal 1 binary64)) (.f64 b b))))
accuracy	0.3512865699146134	(/.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) (*.f64 #s(literal -2 binary64) a))
accuracy	16.940813815504807	(+.f64 (/.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a)))
accuracy	23.353930970309268	(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c))))
accuracy	38.022226473760085	#s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))
accuracy	0.1875	(*.f64 a (/.f64 #s(literal -2 binary64) b))
accuracy	3.3398642486513426	(.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c)
accuracy	5.108694687483678	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a))
accuracy	40.73215633512714	#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c))
accuracy	0.0	(.f64 (.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64))
accuracy	0.0	(*.f64 #s(literal 0 binary64) b)
accuracy	57.17650109593434	#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (.f64 (.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64)))
accuracy	5.108694687483678	(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (.f64 a c) #s(literal 0 binary64))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))) (.f64 #s(literal 2 binary64) a))
accuracy	11.21476687034148	(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))
accuracy	16.52205437537213	(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (.f64 a c) #s(literal 0 binary64))) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (*.f64 b b)))))
accuracy	23.353930970309268	(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))

Samples

102.0ms	81×	2	valid
78.0ms	95×	0	valid
57.0ms	64×	1	valid
17.0ms	16×	3	valid

Compiler

Compiled 396 to 48 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 202.0ms

ival-mult: 65.0ms (32.3% of total)

ival-div: 59.0ms (29.3% of total)

adjust: 28.0ms (13.9% of total)

ival-sub: 24.0ms (11.9% of total)

ival-add: 13.0ms (6.5% of total)

ival-sqrt: 10.0ms (5% of total)

exact: 1.0ms (0.5% of total)

ival-neg: 1.0ms (0.5% of total)

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

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

series36.0ms (0.5%)

Memory

-12.2MiB live, 45.3MiB allocated; 7ms collecting garbage

Counts

23 → 244

Calls

Call 1

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

Outputs
(* -4 (* a c))
(* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* (pow a 2) c)))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* 1/2 (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))))) (pow a 2))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* -1/2 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))) (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))))) (pow a 2))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (* -1/2 (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))))))) (pow a 2))
(* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* a c)))
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* -2 b) (* -1 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* -2 b) (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(+ (* -1 (pow b 2)) (pow b 2))
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2)))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(* -2 (/ (* a c) b))
(* -2 (/ a b))
(* -1/2 (/ b a))
(/ (+ (* -1/2 b) (/ (* a c) b)) a)
(/ (+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) a)
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) a)
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))))) a)
(* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) (* -4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (* -4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* a (+ (* -4 c) (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ (* 1/2 (/ (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))) a)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (+ (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))))) (* -1 (* a b))) a)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (/ (* (pow b 2) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))) c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) a)) (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* -1 (* a b))) a)))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) a)) (* 4 c))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -1/2 (* b (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -1/2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -1/2 (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2))))
(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* -1 (* b (+ (* -4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2))))))
(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (- (* -1 (* b (+ (* 2 (/ 1 (* a (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2))))))
0
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
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(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))))))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(+ b (* (sqrt (* a c)) (sqrt -4)))
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(- b (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
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(/ c (pow b 2))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2))) (/ 1 a)))
(* b (- (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a)))
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (+ (* 2 (/ (* a c) (pow b 2))) (* 4 (/ (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b 4)))) 2))
(* b (- (+ (* 2 (/ (* a c) (pow b 2))) (+ (* 4 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a c))))) (pow b 6))) (* 4 (/ (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b 4))))) 2))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a))))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a))))
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b))
(* -1 (/ (+ (* -4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))
(* 1/2 (/ b a))
(* -1 (* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a)))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* 1/2 (* c (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))))) c)
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* c (+ (* -1/2 (/ (* a (* c (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b)))))) (pow b 2))) (* 1/2 (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b)))))))) c)
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* c (+ (* 1/2 (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (* c (+ (* -1/2 (* c (+ (* -1 (/ (* (pow a 2) (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 4))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) (pow a 3))) (* 2 (/ (* (pow a 2) (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 4))))))) (* -1/2 (/ (* a (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 2)))))))) c)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (+ (* -2 b) (* -1 (* c (+ (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (+ (* -2 b) (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) (pow a 2))) (* 2 (/ (* (pow a 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (+ (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(+ (* -1/2 (/ b a)) (/ c b))
(+ (* -1/2 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1/2 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(+ (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))
(+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))))
(+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (* -4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2)))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* c (+ (* -4 a) (+ (* -1 (/ (pow b 2) c)) (/ (pow b 2) c))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c))) c)) (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))))) (* -1 (* b c))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (/ (* (pow b 2) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c)))) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* -1 (* b c))) c)))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1))))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))))))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	c	@	0	((+ (* -4 (* a c)) 0) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (* (* 0 b) 1/4) (* 0 b) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* a (/ -2 b)) c) (* a (/ -2 b)) (+ (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* (+ (* (* a (/ c (* b b))) -4) 1) (* b b)) (/ c (* b b)))
3.0ms	c	@	inf	((+ (* -4 (* a c)) 0) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (* (* 0 b) 1/4) (* 0 b) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* a (/ -2 b)) c) (* a (/ -2 b)) (+ (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* (+ (* (* a (/ c (* b b))) -4) 1) (* b b)) (/ c (* b b)))
3.0ms	c	@	-inf	((+ (* -4 (* a c)) 0) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (* (* 0 b) 1/4) (* 0 b) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* a (/ -2 b)) c) (* a (/ -2 b)) (+ (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* (+ (* (* a (/ c (* b b))) -4) 1) (* b b)) (/ c (* b b)))
3.0ms	a	@	inf	((+ (* -4 (* a c)) 0) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (* (* 0 b) 1/4) (* 0 b) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* a (/ -2 b)) c) (* a (/ -2 b)) (+ (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* (+ (* (* a (/ c (* b b))) -4) 1) (* b b)) (/ c (* b b)))
3.0ms	a	@	-inf	((+ (* -4 (* a c)) 0) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (* (* 0 b) 1/4) (* 0 b) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* a (/ -2 b)) c) (* a (/ -2 b)) (+ (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (/ (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (* -2 a)) (+ (sqrt (+ (* -4 (* c a)) (* b b))) b) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (* (+ (* (* a (/ c (* b b))) -4) 1) (* b b)) (/ c (* b b)))

simplify205.0ms (2.6%)

Memory

19.6MiB live, 206.8MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1345	9724
1	4883	8810
0	8724	8396

Stop Event

1×	iter limit
1×	node limit

Counts

244 → 243

Calls

Call 1

Inputs
(* -4 (* a c))
(* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* (pow a 2) c)))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* 1/2 (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))))) (pow a 2))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* -1/2 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))) (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))))) (pow a 2))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (* -1/2 (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))))))) (pow a 2))
(* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* a c)))
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* -2 b) (* -1 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* -2 b) (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(+ (* -1 (pow b 2)) (pow b 2))
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2)))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(* -2 (/ (* a c) b))
(* -2 (/ a b))
(* -1/2 (/ b a))
(/ (+ (* -1/2 b) (/ (* a c) b)) a)
(/ (+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) a)
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) a)
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))))) a)
(* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) (* -4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (* -4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* a (+ (* -4 c) (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
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(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (/ (* (pow b 2) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))) c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) a)) (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* -1 (* a b))) a)))
(* -1 (* a (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) a)) (* 4 c))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -1/2 (* b (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -1/2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -1/2 (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2))))
(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* -1 (* b (+ (* -4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2))))))
(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (- (* -1 (* b (+ (* 2 (/ 1 (* a (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2))))))
0
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))))))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(/ c (pow b 2))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2))) (/ 1 a)))
(* b (- (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a)))
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (+ (* 2 (/ (* a c) (pow b 2))) (* 4 (/ (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b 4)))) 2))
(* b (- (+ (* 2 (/ (* a c) (pow b 2))) (+ (* 4 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a c))))) (pow b 6))) (* 4 (/ (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b 4))))) 2))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a))))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a))))
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b))
(* -1 (/ (+ (* -4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))
(* 1/2 (/ b a))
(* -1 (* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a)))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* 1/2 (* c (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))))) c)
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* c (+ (* -1/2 (/ (* a (* c (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b)))))) (pow b 2))) (* 1/2 (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b)))))))) c)
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* c (+ (* 1/2 (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (* c (+ (* -1/2 (* c (+ (* -1 (/ (* (pow a 2) (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 4))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) (pow a 3))) (* 2 (/ (* (pow a 2) (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 4))))))) (* -1/2 (/ (* a (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 2)))))))) c)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (+ (* -2 b) (* -1 (* c (+ (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (+ (* -2 b) (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) (pow a 2))) (* 2 (/ (* (pow a 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (+ (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(+ (* -1/2 (/ b a)) (/ c b))
(+ (* -1/2 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1/2 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(+ (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))
(+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))))
(+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (* -4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2)))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* c (+ (* -4 a) (+ (* -1 (/ (pow b 2) c)) (/ (pow b 2) c))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c))) c)) (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))))) (* -1 (* b c))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (/ (* (pow b 2) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c)))) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* -1 (* b c))) c)))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1))))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))))))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))

Outputs
(* -4 (* a c))
(.f64 (.f64 c a) #s(literal -4 binary64))
(* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* (pow a 2) c)))
(.f64 (.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* 1/2 (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))))) (pow a 2))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) (-.f64 (.f64 #s(literal -2 binary64) b) (/.f64 #s(literal 0 binary64) b)) (.f64 (.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64))) (*.f64 a a))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* -1/2 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))) (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))))) (pow a 2))
(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (.f64 (.f64 c (+.f64 (/.f64 (-.f64 (.f64 #s(literal -2 binary64) b) (/.f64 #s(literal 0 binary64) b)) (.f64 b b)) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64))))) a) (-.f64 (.f64 #s(literal -2 binary64) b) (/.f64 #s(literal 0 binary64) b)))) a (.f64 (.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64))) (*.f64 a a))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (* -1/2 (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))))))) (pow a 2))
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 c (+.f64 (/.f64 (-.f64 (.f64 #s(literal -2 binary64) b) (/.f64 #s(literal 0 binary64) b)) (.f64 b b)) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64)))) (.f64 (fma.f64 (neg.f64 c) (/.f64 (.f64 c (+.f64 (/.f64 (-.f64 (.f64 #s(literal -2 binary64) b) (/.f64 #s(literal 0 binary64) b)) (.f64 b b)) (/.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64))))) (.f64 b b)) (fma.f64 (/.f64 (.f64 (.f64 c c) (-.f64 (.f64 #s(literal -2 binary64) b) (/.f64 #s(literal 0 binary64) b))) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64) (.f64 (.f64 (.f64 #s(literal 0 binary64) b) (/.f64 (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) c)) #s(literal 1/8 binary64)))) a))) a (.f64 (-.f64 (.f64 #s(literal -2 binary64) b) (/.f64 #s(literal 0 binary64) b)) #s(literal 1/2 binary64))) a (.f64 (.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64))) (.f64 a a))
(* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* a c)))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 0 binary64) b))
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(/.f64 (fma.f64 (-.f64 (.f64 #s(literal -2 binary64) b) (/.f64 #s(literal 0 binary64) b)) a (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) b))) a)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* -2 b) (* -1 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
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(fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 c a))) #s(literal -2 binary64) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64) (*.f64 b c)) (neg.f64 c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))))) (* -1 (* b c))) c)))
(fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) b) (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64) (.f64 b c)) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) (sqrt.f64 (/.f64 c a)))) (.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)))) (*.f64 b c)) (neg.f64 c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (/ (* (pow b 2) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c)))) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* -1 (* b c))) c)))
(fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64) (.f64 b c)))))) (.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64) (.f64 b c)) (.f64 b b)) a) #s(literal -1/8 binary64))) (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64) (.f64 b c)))))) c) #s(literal -1 binary64) (fma.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 0 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64) (*.f64 b c))) (neg.f64 c)))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) c)) (* 4 a))))
(*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a #s(literal 0 binary64)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(.f64 (neg.f64 c) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(.f64 (neg.f64 c) (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (/.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 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) c))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(.f64 (neg.f64 c) (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 #s(literal 1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 c))) c))))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (-.f64 (/.f64 b c) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))))
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b))) b) c) #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)))) (neg.f64 c)) b) c) #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1))))))))
(.f64 (neg.f64 c) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/128 binary64)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))))))))
(.f64 (neg.f64 c) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 c a) #s(literal 3 binary64))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 7 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1/1024 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/128 binary64))))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64)))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 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 #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (/.f64 (.f64 (neg.f64 b) b) c)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64) (/.f64 (neg.f64 b) c)))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) b) (neg.f64 c))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 b (/.f64 (fma.f64 (.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) c)) (neg.f64 c))))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (-.f64 (/.f64 (neg.f64 b) c) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) b) c) #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (/.f64 (-.f64 b (/.f64 (fma.f64 (.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)))) c)) c) #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))

rewrite175.0ms (2.2%)

Memory

11.5MiB live, 198.3MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	61	410
0	93	390
1	322	386
2	2314	386
0	8131	386

Stop Event

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

Counts

23 → 377

Calls

Call 1

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

Outputs
(.f64 (.f64 c #s(literal -4 binary64)) a)
(.f64 (.f64 a #s(literal -4 binary64)) c)
(.f64 (.f64 c a) #s(literal -4 binary64))
(.f64 c (.f64 a #s(literal -4 binary64)))
(.f64 a (.f64 c #s(literal -4 binary64)))
(.f64 #s(literal -4 binary64) (.f64 c a))
(pow.f64 (.f64 (.f64 c a) #s(literal -4 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64))) (pow.f64 (.f64 (.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 c a) #s(literal -4 binary64))) #s(literal 0 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 c a) #s(literal -4 binary64))) (pow.f64 (.f64 (.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64))))
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(.f64 (.f64 (fma.f64 (.f64 (/.f64 c (.f64 b b)) a) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)
(.f64 (fma.f64 (.f64 (/.f64 c (.f64 b b)) a) #s(literal -4 binary64) #s(literal 1 binary64)) (.f64 b b))
(.f64 (.f64 b b) (fma.f64 (.f64 (/.f64 c (.f64 b b)) a) #s(literal -4 binary64) #s(literal 1 binary64)))
(.f64 (neg.f64 b) (.f64 (neg.f64 b) (fma.f64 (.f64 (/.f64 c (.f64 b b)) a) #s(literal -4 binary64) #s(literal 1 binary64))))
(.f64 b (.f64 (fma.f64 (.f64 (/.f64 c (.f64 b b)) a) #s(literal -4 binary64) #s(literal 1 binary64)) b))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (/.f64 c (.f64 b b)) a) #s(literal -4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 b b)) (-.f64 (.f64 (.f64 (/.f64 c (.f64 b b)) a) #s(literal -4 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 (/.f64 c (.f64 b b)) a) #s(literal 3 binary64)) #s(literal -64 binary64) #s(literal 1 binary64)) (.f64 b b)) (fma.f64 (pow.f64 (.f64 (/.f64 c (.f64 b b)) a) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 c (*.f64 b b)) a) #s(literal -4 binary64)))))
(/.f64 (.f64 (.f64 b b) (-.f64 (pow.f64 (.f64 (.f64 (/.f64 c (.f64 b b)) a) #s(literal -4 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (.f64 (.f64 (/.f64 c (.f64 b b)) a) #s(literal -4 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 b b) (fma.f64 (pow.f64 (.f64 (/.f64 c (.f64 b b)) a) #s(literal 3 binary64)) #s(literal -64 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (.f64 (/.f64 c (.f64 b b)) a) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (/.f64 c (*.f64 b b)) a) #s(literal -4 binary64)))))
(fma.f64 (.f64 (.f64 (/.f64 c (.f64 b b)) a) #s(literal -4 binary64)) (.f64 b b) (.f64 #s(literal 1 binary64) (.f64 b b)))
(fma.f64 #s(literal 1 binary64) (.f64 b b) (.f64 (.f64 (.f64 (/.f64 c (.f64 b b)) a) #s(literal -4 binary64)) (.f64 b b)))
(fma.f64 (.f64 b b) (.f64 (.f64 (/.f64 c (.f64 b b)) a) #s(literal -4 binary64)) (.f64 (.f64 b b) #s(literal 1 binary64)))
(fma.f64 (.f64 b b) #s(literal 1 binary64) (.f64 (.f64 b b) (.f64 (.f64 (/.f64 c (.f64 b b)) a) #s(literal -4 binary64))))
(+.f64 (.f64 (.f64 (.f64 (/.f64 c (.f64 b b)) a) #s(literal -4 binary64)) (.f64 b b)) (.f64 #s(literal 1 binary64) (*.f64 b b)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 b b)) (.f64 (.f64 (.f64 (/.f64 c (.f64 b b)) a) #s(literal -4 binary64)) (*.f64 b b)))
(+.f64 (.f64 (.f64 b b) (.f64 (.f64 (/.f64 c (.f64 b b)) a) #s(literal -4 binary64))) (.f64 (*.f64 b b) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 b b) #s(literal 1 binary64)) (.f64 (.f64 b b) (.f64 (.f64 (/.f64 c (*.f64 b b)) a) #s(literal -4 binary64))))
(/.f64 (/.f64 (neg.f64 c) b) (neg.f64 b))
(/.f64 (/.f64 c (neg.f64 b)) (neg.f64 b))
(/.f64 (neg.f64 (/.f64 c b)) (neg.f64 b))
(/.f64 (neg.f64 (neg.f64 c)) (*.f64 b b))
(/.f64 (/.f64 c b) b)
(/.f64 (neg.f64 c) (*.f64 (neg.f64 b) b))
(/.f64 c (*.f64 b b))
(neg.f64 (/.f64 c (*.f64 (neg.f64 b) b)))

eval125.0ms (1.6%)

Memory: -5.8MiB live, 127.6MiB allocated; 25ms collecting garbage
Compiler: Compiled 30 274 to 2 999 computations (90.1% saved)

prune32.0ms (0.4%)

Memory

6.9MiB live, 70.9MiB allocated; 16ms collecting garbage

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	610	9	619
Fresh	5	8	13
Picked	4	1	5
Done	0	3	3
Total	619	21	640

Accuracy

89.1%

Counts

640 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	19.5%	(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 c a) #s(literal -4 binary64)))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) a) (.f64 a b)) (.f64 a (.f64 #s(literal -2 binary64) a)))
	46.2%	(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) b) (*.f64 #s(literal -2 binary64) a))
	10.5%	(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (fma.f64 #s(literal -4 binary64) (.f64 a c) #s(literal 0 binary64))) (-.f64 b (/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 c a) #s(literal -4 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 c a) (.f64 b b)))))) (.f64 #s(literal 2 binary64) a))
▶	46.5%	(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (.f64 (.f64 c a) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
✓	49.1%	(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
	33.0%	(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal -2 binary64) a))
	44.3%	(/.f64 (.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (neg.f64 b) (fma.f64 b b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (neg.f64 b) (fma.f64 b b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) (.f64 #s(literal 2 binary64) a))
	25.6%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (.f64 (.f64 #s(literal -2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a))
✓	26.5%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
▶	28.8%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) b) c) a)) (*.f64 #s(literal 2 binary64) a))
	40.5%	(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 (.f64 #s(literal 2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))))))
✓	33.0%	(+.f64 (/.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a)))
▶	8.4%	(+.f64 #s(approx (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (.f64 (-.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 b))) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
	34.0%	#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) (neg.f64 b)))
	26.1%	#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) c) (-.f64 (.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 #s(literal 0 binary64) b)) (.f64 (.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64))) c))
▶	10.7%	#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (* 0 b) 1/4) #s(literal 0 binary64)))
	30.7%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a)))
	30.8%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
	29.2%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a))
	31.0%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
✓	36.3%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))

Compiler

Compiled 1 274 to 798 computations (37.4% saved)

simplify127.0ms (1.6%)

Memory

17.9MiB live, 148.6MiB allocated; 31ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 c a) #s(literal -4 binary64))))
cost-diff	0	(/.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 c a) #s(literal -4 binary64)))) #s(literal -2 binary64))
cost-diff	4	(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 c a) #s(literal -4 binary64)))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) a) (.f64 a b)) (.f64 a (.f64 #s(literal -2 binary64) a)))
cost-diff	5	(fma.f64 (/.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 c a) #s(literal -4 binary64)))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) a) (.f64 a b))
cost-diff	0	(-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a))
cost-diff	0	(.f64 (-.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 b))
cost-diff	0	#s(approx (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (.f64 (-.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 b)))
cost-diff	1	(+.f64 #s(approx (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (.f64 (-.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 b))) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
cost-diff	0	(*.f64 (/.f64 #s(literal -2 binary64) b) c)
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal -2 binary64) b) c) a)
cost-diff	0	#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) b) c) a))
cost-diff	0	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) b) c) a)) (*.f64 #s(literal 2 binary64) a))
cost-diff	0	#s(approx (* (* 0 b) 1/4) #s(literal 0 binary64))
cost-diff	0	#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (* 0 b) 1/4) #s(literal 0 binary64)))
cost-diff	0	(.f64 (.f64 c a) #s(literal -4 binary64))
cost-diff	0	#s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (.f64 (.f64 c a) #s(literal -4 binary64)))
cost-diff	0	(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (.f64 (.f64 c a) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))))
cost-diff	0	(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (.f64 (.f64 c a) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))))) (*.f64 #s(literal 2 binary64) a))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	490
0	96	468
1	186	462
2	417	434
3	1486	420
4	6132	420
0	8013	419

Stop Event

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

Calls

Call 1

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

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

localize375.0ms (4.8%)

Memory

-42.4MiB live, 395.8MiB allocated; 70ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	20.499680688601387	(fma.f64 (/.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 c a) #s(literal -4 binary64)))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) a) (.f64 a b))
accuracy	23.353930970309268	(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 c a) #s(literal -4 binary64))))
accuracy	31.348665829343965	(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 c a) #s(literal -4 binary64)))) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) a) (.f64 a b)) (.f64 a (.f64 #s(literal -2 binary64) a)))
accuracy	38.022226473760085	#s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 c a) #s(literal -4 binary64)))
accuracy	5.077305362151083	(.f64 (-.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 b))
accuracy	6.825360419692632	(/.f64 c (*.f64 b b))
accuracy	16.940813815504807	(+.f64 #s(approx (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (.f64 (-.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 b))) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
accuracy	40.887072550057425	#s(approx (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (.f64 (-.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 b)))
accuracy	0.2265625	(*.f64 (/.f64 #s(literal -2 binary64) b) c)
accuracy	4.3383078895321585	(.f64 (.f64 (/.f64 #s(literal -2 binary64) b) c) a)
accuracy	5.108694687483678	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) b) c) a)) (*.f64 #s(literal 2 binary64) a))
accuracy	40.73215633512714	#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) b) c) a))
accuracy	0.0	#s(approx (* (* 0 b) 1/4) #s(literal 0 binary64))
accuracy	57.17650109593434	#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (* 0 b) 1/4) #s(literal 0 binary64)))
accuracy	5.108694687483678	(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (.f64 (.f64 c a) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
accuracy	11.21476687034148	(-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))))
accuracy	16.52205437537213	(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (.f64 (.f64 c a) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))))
accuracy	23.353930970309268	(sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))

Samples

138.0ms	75×	2	valid
108.0ms	95×	0	valid
43.0ms	61×	1	valid
38.0ms	25×	3	valid

Compiler

Compiled 399 to 57 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 285.0ms

ival-div: 109.0ms (38.3% of total)

ival-sqrt: 51.0ms (17.9% of total)

adjust: 38.0ms (13.3% of total)

ival-mult: 37.0ms (13% of total)

ival-sub: 29.0ms (10.2% of total)

ival-add: 18.0ms (6.3% of total)

exact: 1.0ms (0.4% of total)

ival-neg: 1.0ms (0.4% of total)

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

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

series43.0ms (0.5%)

Memory

40.7MiB live, 87.0MiB allocated; 4ms collecting garbage

Counts

22 → 295

Calls

Call 1

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

Outputs
(* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* (pow a 2) c)))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* 1/2 (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))))) (pow a 2))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* -1/2 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))) (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))))) (pow a 2))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (* -1/2 (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))))))) (pow a 2))
(* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* a c)))
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* -2 b) (* -1 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* -2 b) (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(+ (* -1 (pow b 2)) (pow b 2))
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2)))
(* -4 (* a c))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(* -2 (/ (* a c) b))
(* -1/2 (/ b a))
(/ (+ (* -1/2 b) (/ (* a c) b)) a)
(/ (+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* 1/2 (/ b a))
(/ (+ (* -1 (/ (* a c) b)) (* 1/2 b)) a)
(/ -1/2 a)
(/ (- (/ (* a c) (pow b 2)) 1/2) a)
(* 2 (* a b))
(* a (+ (* -2 (/ (* a c) b)) (* 2 b)))
(* a (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))
(* a (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))))
(* -1/2 b)
(+ (* -1/2 b) (/ (* a c) b))
(+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))))
(+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) a)
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) a)
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))))) a)
(* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) (* -4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (* -4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* a (+ (* -4 c) (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* 1/2 (/ b a)))
(/ c (pow b 2))
(- (/ c (pow b 2)) (* 1/2 (/ 1 a)))
(* (sqrt (* (pow a 3) c)) (sqrt -4))
(* (pow a 2) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* (pow a 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -1/2 (* (sqrt (* a c)) (sqrt -4)))
(* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ (* 1/2 (/ (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
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(* -1 (* a (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) a)) (* 4 c))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
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(+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))
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(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -2 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 b) (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a))))
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a))) a))))
(* (sqrt (* a c)) (sqrt -1))
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))))))
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1))))))))
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))))))))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -1/2 (* b (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -1/2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -1/2 (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2))))
(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* -1 (* b (+ (* -4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2))))))
(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (- (* -1 (* b (+ (* 2 (/ 1 (* a (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2))))))
0
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ c b))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))))))
(/ (+ (* -1 c) (* 1/2 (/ (pow b 2) a))) b)
(/ (+ c (* -1/2 (/ (pow b 2) a))) (pow b 2))
(+ (* a b) (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(+ (* b (+ a (* 1/2 (* (sqrt (/ a c)) (/ b (sqrt -4)))))) (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(+ (* b (+ a (* b (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))))))) (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))))
(+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))))))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2))) (/ 1 a)))
(* b (- (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a)))
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (+ (* 2 (/ (* a c) (pow b 2))) (* 4 (/ (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b 4)))) 2))
(* b (- (+ (* 2 (/ (* a c) (pow b 2))) (+ (* 4 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a c))))) (pow b 6))) (* 4 (/ (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b 4))))) 2))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a))))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a))))
(* b (+ (* -1 (/ c (pow b 2))) (* 1/2 (/ 1 a))))
(* b (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* 2 a)))
(* b (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 2 a))))
(* b (+ (* -4 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 2 a)))))
(* b (- (/ (* a c) (pow b 2)) 1/2))
(* b (- (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1/2))
(* b (- (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 1/2))
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b))
(* -1 (/ (+ (* -4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))
(* -1 (* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ a (* -1 a))))
(* -1 (* b (+ a (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* -1 a)))))
(* -1 (* b (+ a (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1 a))))))
(* -1 (* b (+ a (+ (* -4 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1 a)))))))
(* 1/2 (/ (* b (+ a (* -1 a))) (pow a 2)))
(* -1 (* b (+ (* -1/2 (/ (+ a (* -1 a)) (pow a 2))) (/ c (pow b 2)))))
(* -1 (* b (+ (* -1/2 (/ (+ a (* -1 a)) (pow a 2))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))))))
(* -1 (* b (+ (* -1/2 (/ (+ a (* -1 a)) (pow a 2))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))))))
(* 1/2 b)
(* -1 (* b (- (/ (* a c) (pow b 2)) 1/2)))
(* -1 (* b (- (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1/2)))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 1/2)))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 2 b)
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* 1/2 (* c (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))))) c)
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* c (+ (* -1/2 (/ (* a (* c (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b)))))) (pow b 2))) (* 1/2 (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b)))))))) c)
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* c (+ (* 1/2 (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (* c (+ (* -1/2 (* c (+ (* -1 (/ (* (pow a 2) (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 4))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) (pow a 3))) (* 2 (/ (* (pow a 2) (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 4))))))) (* -1/2 (/ (* a (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 2)))))))) c)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (+ (* -2 b) (* -1 (* c (+ (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (+ (* -2 b) (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) (pow a 2))) (* 2 (/ (* (pow a 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (+ (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(+ (* -1/2 (/ b a)) (/ c b))
(+ (* -1/2 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1/2 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(+ (* -2 (/ (* (pow a 2) c) b)) (* 2 (* a b)))
(+ (* 2 (* a b)) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 3))) (* -2 (/ (pow a 2) b)))))
(+ (* 2 (* a b)) (* c (+ (* -2 (/ (pow a 2) b)) (* c (+ (* -4 (/ (* (pow a 4) c) (pow b 5))) (* -2 (/ (pow a 3) (pow b 3))))))))
(+ (* -1/2 b) (* c (+ (/ a b) (/ (* (pow a 2) c) (pow b 3)))))
(+ (* -1/2 b) (* c (+ (* c (+ (* 2 (/ (* (pow a 3) c) (pow b 5))) (/ (pow a 2) (pow b 3)))) (/ a b))))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(+ (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))
(+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))))
(+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (* -4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2)))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* c (+ (* -4 a) (+ (* -1 (/ (pow b 2) c)) (/ (pow b 2) c))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* c (- (* 1/2 (/ b (* a c))) (/ 1 b)))
(* c (- (/ 1 (pow b 2)) (* 1/2 (/ 1 (* a c)))))
(* c (+ (* (sqrt (/ (pow a 3) c)) (sqrt -4)) (/ (* a b) c)))
(* c (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ (pow a 3) c)) (sqrt -4)) (/ (* a b) c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ (pow a 3) c)) (sqrt -4)) (/ (* a b) c)))))
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4))))))
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c))) c)) (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))))) (* -1 (* b c))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (/ (* (pow b 2) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c)))) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* -1 (* b c))) c)))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1))))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))))))))
(* -1 (* c (+ (* -1/2 (/ b (* a c))) (/ 1 b))))
(* -1 (* c (- (* 1/2 (/ 1 (* a c))) (/ 1 (pow b 2)))))
(* -1 (* c (+ (* -1 (/ (* a b) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c)) (* a b)) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1))))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))))))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	b	@	-inf	((/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* (* c -4) a) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* (* c -4) a) (* b b))))) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (* (* c a) -4) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (* (* 0 b) 1/4) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ -2 b) c) a) (* (/ -2 b) c) (+ (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (* (- (/ c (* b b)) (/ 1/2 a)) (neg b)) (- (/ c (* b b)) (/ 1/2 a)) (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) -2) (* -2 a)) (* a b)) (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) -2) (* -2 a)) (* a b)) (* a (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) -2) (sqrt (+ (* -4 (* c a)) (* b b))) (sqrt (+ (* (* c -4) a) (* b b))) (- b (sqrt (+ (* (* c -4) a) (* b b)))) (/ c (* b b)) (+ (* -4 (* c a)) (* b b)))
4.0ms	c	@	inf	((/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* (* c -4) a) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* (* c -4) a) (* b b))))) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (* (* c a) -4) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (* (* 0 b) 1/4) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ -2 b) c) a) (* (/ -2 b) c) (+ (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (* (- (/ c (* b b)) (/ 1/2 a)) (neg b)) (- (/ c (* b b)) (/ 1/2 a)) (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) -2) (* -2 a)) (* a b)) (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) -2) (* -2 a)) (* a b)) (* a (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) -2) (sqrt (+ (* -4 (* c a)) (* b b))) (sqrt (+ (* (* c -4) a) (* b b))) (- b (sqrt (+ (* (* c -4) a) (* b b)))) (/ c (* b b)) (+ (* -4 (* c a)) (* b b)))
4.0ms	c	@	-inf	((/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* (* c -4) a) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* (* c -4) a) (* b b))))) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (* (* c a) -4) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (* (* 0 b) 1/4) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ -2 b) c) a) (* (/ -2 b) c) (+ (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (* (- (/ c (* b b)) (/ 1/2 a)) (neg b)) (- (/ c (* b b)) (/ 1/2 a)) (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) -2) (* -2 a)) (* a b)) (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) -2) (* -2 a)) (* a b)) (* a (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) -2) (sqrt (+ (* -4 (* c a)) (* b b))) (sqrt (+ (* (* c -4) a) (* b b))) (- b (sqrt (+ (* (* c -4) a) (* b b)))) (/ c (* b b)) (+ (* -4 (* c a)) (* b b)))
4.0ms	b	@	0	((/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* (* c -4) a) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* (* c -4) a) (* b b))))) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (* (* c a) -4) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (* (* 0 b) 1/4) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ -2 b) c) a) (* (/ -2 b) c) (+ (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (* (- (/ c (* b b)) (/ 1/2 a)) (neg b)) (- (/ c (* b b)) (/ 1/2 a)) (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) -2) (* -2 a)) (* a b)) (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) -2) (* -2 a)) (* a b)) (* a (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) -2) (sqrt (+ (* -4 (* c a)) (* b b))) (sqrt (+ (* (* c -4) a) (* b b))) (- b (sqrt (+ (* (* c -4) a) (* b b)))) (/ c (* b b)) (+ (* -4 (* c a)) (* b b)))
4.0ms	a	@	-inf	((/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* (* c -4) a) (* b b))))) (* 2 a)) (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* (* c -4) a) (* b b))))) (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (* (* c a) -4) (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (* (* 0 b) 1/4) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ -2 b) c) a) (* (/ -2 b) c) (+ (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (* (- (/ c (* b b)) (/ 1/2 a)) (neg b)) (- (/ c (* b b)) (/ 1/2 a)) (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) -2) (* -2 a)) (* a b)) (/ (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) -2) (* -2 a)) (* a b)) (* a (* -2 a))) (/ (sqrt (+ (* -4 (* c a)) (* b b))) -2) (sqrt (+ (* -4 (* c a)) (* b b))) (sqrt (+ (* (* c -4) a) (* b b))) (- b (sqrt (+ (* (* c -4) a) (* b b)))) (/ c (* b b)) (+ (* -4 (* c a)) (* b b)))

simplify251.0ms (3.2%)

Memory

-23.8MiB live, 185.3MiB allocated; 90ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1536	11073
1	5662	10890
0	8341	10364

Stop Event

1×	iter limit
1×	node limit

Counts

295 → 294

Calls

Call 1

Inputs
(* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* (pow a 2) c)))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* 1/2 (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))))) (pow a 2))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* -1/2 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))) (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))))) (pow a 2))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (* -1/2 (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))))))) (pow a 2))
(* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* a c)))
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* -2 b) (* -1 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* -2 b) (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
(+ (* -1 (pow b 2)) (pow b 2))
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2)))
(* -4 (* a c))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(* -2 (/ (* a c) b))
(* -1/2 (/ b a))
(/ (+ (* -1/2 b) (/ (* a c) b)) a)
(/ (+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* 1/2 (/ b a))
(/ (+ (* -1 (/ (* a c) b)) (* 1/2 b)) a)
(/ -1/2 a)
(/ (- (/ (* a c) (pow b 2)) 1/2) a)
(* 2 (* a b))
(* a (+ (* -2 (/ (* a c) b)) (* 2 b)))
(* a (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))))
(* a (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))))
(* -1/2 b)
(+ (* -1/2 b) (/ (* a c) b))
(+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))))
(+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* 2 (/ (* a c) b))
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b))))
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) a)
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) a)
(/ (+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))) a)) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))))) a)
(* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) (* -4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (* -4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ a c)) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (- (* -1 (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* a (+ (* -4 c) (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* 1/2 (/ b a)))
(/ c (pow b 2))
(- (/ c (pow b 2)) (* 1/2 (/ 1 a)))
(* (sqrt (* (pow a 3) c)) (sqrt -4))
(* (pow a 2) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* (pow a 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -1/2 (* (sqrt (* a c)) (sqrt -4)))
(* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* a (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ (+ (* 1/2 (/ (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))) (* -1/2 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (/ (* a (* (pow b 2) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 1/2 (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))) a)) (* (sqrt (* a c)) (sqrt -1))) a))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* -1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))) a)))
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(* -1 (* a (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) a)) (* 4 c))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
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(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
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(* -2 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
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(* (sqrt (* a c)) (sqrt -1))
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))))))
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1))))))))
(* -1 (* a (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))))))))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
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(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
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(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -1/2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -1/2 (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2)))))))
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(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (- (* -1 (* b (+ (* 2 (/ 1 (* a (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2))))))
0
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ c b))
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(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))))))
(/ (+ (* -1 c) (* 1/2 (/ (pow b 2) a))) b)
(/ (+ c (* -1/2 (/ (pow b 2) a))) (pow b 2))
(+ (* a b) (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(+ (* b (+ a (* 1/2 (* (sqrt (/ a c)) (/ b (sqrt -4)))))) (* (sqrt (* (pow a 3) c)) (sqrt -4)))
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(+ (* -1/2 (* (sqrt (* a c)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))))
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(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
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(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(- b (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2))) (/ 1 a)))
(* b (- (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a)))
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (+ (* 2 (/ (* a c) (pow b 2))) (* 4 (/ (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b 4)))) 2))
(* b (- (+ (* 2 (/ (* a c) (pow b 2))) (+ (* 4 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a c))))) (pow b 6))) (* 4 (/ (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b 4))))) 2))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a))))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a))))
(* b (+ (* -1 (/ c (pow b 2))) (* 1/2 (/ 1 a))))
(* b (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* 2 a)))
(* b (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 2 a))))
(* b (+ (* -4 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 2 a)))))
(* b (- (/ (* a c) (pow b 2)) 1/2))
(* b (- (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1/2))
(* b (- (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 1/2))
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b))
(* -1 (/ (+ (* -4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))
(* -1 (* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ a (* -1 a))))
(* -1 (* b (+ a (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (* -1 a)))))
(* -1 (* b (+ a (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1 a))))))
(* -1 (* b (+ a (+ (* -4 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* (pow a 2) c) (pow b 2))) (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1 a)))))))
(* 1/2 (/ (* b (+ a (* -1 a))) (pow a 2)))
(* -1 (* b (+ (* -1/2 (/ (+ a (* -1 a)) (pow a 2))) (/ c (pow b 2)))))
(* -1 (* b (+ (* -1/2 (/ (+ a (* -1 a)) (pow a 2))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))))))
(* -1 (* b (+ (* -1/2 (/ (+ a (* -1 a)) (pow a 2))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))))))
(* 1/2 b)
(* -1 (* b (- (/ (* a c) (pow b 2)) 1/2)))
(* -1 (* b (- (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4))) 1/2)))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (/ (* a c) (pow b 2)) (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 1/2)))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 2 b)
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2)))
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))))
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* 1/2 (* c (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))))) c)
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* c (+ (* -1/2 (/ (* a (* c (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b)))))) (pow b 2))) (* 1/2 (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b)))))))) c)
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (pow a 2))) (* c (+ (* 1/2 (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (* c (+ (* -1/2 (* c (+ (* -1 (/ (* (pow a 2) (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 4))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) (pow a 3))) (* 2 (/ (* (pow a 2) (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 4))))))) (* -1/2 (/ (* a (- (* -2 (/ b a)) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) (* a b))))) (pow b 2)))))))) c)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (+ (* -2 b) (* -1 (* c (+ (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c)
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (+ (* -2 b) (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) (pow a 2))) (* 2 (/ (* (pow a 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (+ (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(+ (* -1/2 (/ b a)) (/ c b))
(+ (* -1/2 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1/2 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(+ (* -2 (/ (* (pow a 2) c) b)) (* 2 (* a b)))
(+ (* 2 (* a b)) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 3))) (* -2 (/ (pow a 2) b)))))
(+ (* 2 (* a b)) (* c (+ (* -2 (/ (pow a 2) b)) (* c (+ (* -4 (/ (* (pow a 4) c) (pow b 5))) (* -2 (/ (pow a 3) (pow b 3))))))))
(+ (* -1/2 b) (* c (+ (/ a b) (/ (* (pow a 2) c) (pow b 3)))))
(+ (* -1/2 b) (* c (+ (* c (+ (* 2 (/ (* (pow a 3) c) (pow b 5))) (/ (pow a 2) (pow b 3)))) (/ a b))))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b))))
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b))))
(+ (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))
(+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))))
(+ (* -1/2 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* -1/2 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2)))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (+ (* 1/2 (/ (- (* -1 (* (sqrt (/ c (pow a 3))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (* a (pow (sqrt -4) 2))))) c)) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (* -4 (/ b (pow (sqrt -4) 2))))
(- (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2)))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ c a)) (/ (* b (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b (- (* -1 (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* c (+ (* -4 a) (+ (* -1 (/ (pow b 2) c)) (/ (pow b 2) c))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* c (- (* 1/2 (/ b (* a c))) (/ 1 b)))
(* c (- (/ 1 (pow b 2)) (* 1/2 (/ 1 (* a c)))))
(* c (+ (* (sqrt (/ (pow a 3) c)) (sqrt -4)) (/ (* a b) c)))
(* c (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ (pow a 3) c)) (sqrt -4)) (/ (* a b) c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ (pow a 3) c)) (sqrt -4)) (/ (* a b) c)))))
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4))))))
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* c (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a)))) (* 1/2 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) (* 1/2 (/ (+ (* -1/8 (/ (* (pow b 2) (* c (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))))) (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) c))) c)) (* 1/2 (- (* -1/2 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (/ (* b c) a))))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))))) (* -1 (* b c))) c)))
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (/ (* (pow b 2) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c)))) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* -1 (* b c))) c)))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1))))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))))))))
(* -1 (* c (+ (* -1/2 (/ b (* a c))) (/ 1 b))))
(* -1 (* c (- (* 1/2 (/ 1 (* a c))) (/ 1 (pow b 2)))))
(* -1 (* c (+ (* -1 (/ (* a b) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* a b)) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c)) (* a b)) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1))))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))))))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))

Outputs
(* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* (pow a 2) c)))
(.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (/.f64 (.f64 (.f64 #s(literal 0 binary64) (*.f64 b b)) b) c))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* 1/2 (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))))) (pow a 2))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 #s(literal -2 binary64) b (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b))) (.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b) c) #s(literal 1/4 binary64))) (*.f64 a a))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* -1/2 (* a (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))) (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))))) (pow a 2))
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) a) (fma.f64 c (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) (pow.f64 b #s(literal 3 binary64))) (.f64 c (/.f64 (fma.f64 #s(literal -2 binary64) b (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b))) (.f64 b b)))) (.f64 (fma.f64 #s(literal -2 binary64) b (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b))) #s(literal 1/2 binary64))) a (.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b) c) #s(literal 1/4 binary64))) (*.f64 a a))
(/ (+ (* 1/4 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (+ (* 1/2 (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (* a (+ (* -1/2 (* a (+ (* -1 (/ (* c (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* 1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (* -1/2 (+ (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)) (/ (* c (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))))))) (pow a 2))
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (fma.f64 c (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) (pow.f64 b #s(literal 3 binary64))) (.f64 c (/.f64 (fma.f64 #s(literal -2 binary64) b (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b))) (.f64 b b)))) (.f64 b b)) (fma.f64 (/.f64 (.f64 (.f64 c c) (fma.f64 #s(literal -2 binary64) b (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b)))) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) (.f64 #s(literal 0 binary64) (.f64 b b))) b) (.f64 c c)) #s(literal 1/8 binary64)))) a (fma.f64 c (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) (pow.f64 b #s(literal 3 binary64))) (.f64 c (/.f64 (fma.f64 #s(literal -2 binary64) b (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b))) (.f64 b b)))))) a (.f64 (fma.f64 #s(literal -2 binary64) b (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b))) #s(literal 1/2 binary64))) a (.f64 (/.f64 (.f64 (.f64 #s(literal 0 binary64) (.f64 b b)) b) c) #s(literal 1/4 binary64))) (*.f64 a a))
(* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* a c)))
(.f64 (/.f64 #s(literal 1/2 binary64) c) (.f64 b (.f64 #s(literal 0 binary64) (/.f64 (.f64 b b) a))))
(/ (+ (* 1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (* -2 b) (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a)
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(.f64 (neg.f64 c) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/128 binary64)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))))))))
(.f64 (neg.f64 c) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) (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 #s(literal 6 binary64)))) #s(literal -1/1024 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/128 binary64))))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64)))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(.f64 (neg.f64 c) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 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 #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 c #s(literal 3 binary64)) a))) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))))))
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (-.f64 (/.f64 (neg.f64 b) c) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))))
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)) b) c) #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (neg.f64 c) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 c a))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 b b)))) c) #s(literal -1 binary64) b) c) #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (/.f64 (.f64 (neg.f64 b) b) c)))

rewrite209.0ms (2.7%)

Memory

-17.6MiB live, 130.8MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	408
0	96	386
1	351	380
2	2219	380
0	8185	378

Stop Event

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

Counts

22 → 282

Calls

Call 1

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

Outputs
(/.f64 (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (.f64 (.f64 a #s(literal -4 binary64)) c)) (-.f64 b (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))))) a) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (.f64 (.f64 a #s(literal -4 binary64)) c)) (-.f64 b (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))))) #s(literal 2 binary64))) (neg.f64 a))
(/.f64 (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (.f64 (.f64 a #s(literal -4 binary64)) c)) (-.f64 b (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))))) #s(literal 2 binary64)) a)
(/.f64 (neg.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (.f64 (.f64 a #s(literal -4 binary64)) c))) (.f64 (neg.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))))) (.f64 #s(literal 2 binary64) a)))
(/.f64 (neg.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (.f64 (.f64 a #s(literal -4 binary64)) c))) (neg.f64 (.f64 (.f64 #s(literal 2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b)))))))
(/.f64 (/.f64 (neg.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (.f64 (.f64 a #s(literal -4 binary64)) c))) (-.f64 b (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))))) (*.f64 #s(literal -2 binary64) a))
(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (.f64 (.f64 a #s(literal -4 binary64)) c)) (-.f64 b (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (.f64 (.f64 a #s(literal -4 binary64)) c)) (.f64 (.f64 #s(literal 2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))))))
(neg.f64 (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (.f64 (.f64 a #s(literal -4 binary64)) c)) (-.f64 b (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))))) (*.f64 #s(literal -2 binary64) a)))
(.f64 (/.f64 #s(approx (+ ( (neg b) b) (+ (* -4 (* c a)) (* b b))) (.f64 (.f64 a #s(literal -4 binary64)) c)) (-.f64 (.f64 b b) (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (*.f64 b b))) b))
(.f64 (/.f64 #s(approx (+ ( (neg b) b) (+ (* -4 (* c a)) (* b b))) (.f64 (.f64 a #s(literal -4 binary64)) c)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b)) #s(literal 3/2 binary64)))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b)))))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (.f64 (.f64 a #s(literal -4 binary64)) c)))) (neg.f64 (neg.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b)))))))
(/.f64 (neg.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (.f64 (.f64 a #s(literal -4 binary64)) c))) (neg.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))))))
(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (.f64 (.f64 a #s(literal -4 binary64)) c)) (-.f64 b (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b)))))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (.f64 (.f64 a #s(literal -4 binary64)) c))) (-.f64 b (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))))))
#s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (.f64 (.f64 a #s(literal -4 binary64)) c))
(.f64 (.f64 a #s(literal -4 binary64)) c)
(.f64 (.f64 c #s(literal -4 binary64)) a)
(.f64 (.f64 a c) #s(literal -4 binary64))
(.f64 a (.f64 c #s(literal -4 binary64)))
(.f64 c (.f64 a #s(literal -4 binary64)))
(.f64 #s(literal -4 binary64) (.f64 a c))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (* 0 b) 1/4) #s(literal 0 binary64)))
#s(approx (* (* 0 b) 1/4) #s(literal 0 binary64))
(/.f64 (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) b) c) a)) a) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) b) c) a)) #s(literal 2 binary64))) (neg.f64 a))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) b) c) a)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) b) c) a)) #s(literal 2 binary64)) a)
(/.f64 (neg.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) b) c) a))) (*.f64 #s(literal -2 binary64) a))
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) b) c) a)) (*.f64 #s(literal 2 binary64) a))
(neg.f64 (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) b) c) a)) (*.f64 #s(literal -2 binary64) a)))
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) b) c) a))
(.f64 (.f64 (/.f64 #s(literal -2 binary64) b) a) c)
(.f64 (.f64 a (/.f64 #s(literal -2 binary64) b)) c)
(.f64 (.f64 (/.f64 #s(literal -2 binary64) b) c) a)
(.f64 (/.f64 #s(literal -2 binary64) b) (.f64 a c))
(.f64 (.f64 a c) (/.f64 #s(literal -2 binary64) b))
(.f64 a (.f64 (/.f64 #s(literal -2 binary64) b) c))
(.f64 c (.f64 (/.f64 #s(literal -2 binary64) b) a))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) c) a) b)
(/.f64 (.f64 #s(literal -2 binary64) (.f64 a c)) b)
(/.f64 (.f64 #s(literal 2 binary64) (.f64 a c)) (neg.f64 b))
(/.f64 (.f64 a (.f64 #s(literal -2 binary64) c)) b)
(*.f64 (/.f64 #s(literal -2 binary64) b) c)
(*.f64 #s(literal -2 binary64) (/.f64 c b))
(*.f64 c (/.f64 #s(literal -2 binary64) b))
(/.f64 (*.f64 #s(literal 2 binary64) c) (neg.f64 b))
(/.f64 (*.f64 c #s(literal 2 binary64)) (neg.f64 b))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) c)) (neg.f64 b))
(/.f64 (*.f64 #s(literal -2 binary64) c) b)
(/.f64 (-.f64 (.f64 (pow.f64 #s(approx (/ (sqrt (+ ( -4 (* c a)) (* b b))) (* -2 a)) (.f64 (-.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 b))) #s(literal 2 binary64)) (-.f64 #s(approx (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (.f64 (-.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 b))) (/.f64 b (.f64 #s(literal -2 binary64) a)))) (.f64 (-.f64 #s(approx (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (.f64 (-.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 b))) (/.f64 b (.f64 #s(literal -2 binary64) a))) (pow.f64 (/.f64 b (.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)))) (.f64 (-.f64 #s(approx (/ (sqrt (+ ( -4 (* c a)) (* b b))) (* -2 a)) (.f64 (-.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 b))) (/.f64 b (.f64 #s(literal -2 binary64) a))) (-.f64 #s(approx (/ (sqrt (+ ( -4 (* c a)) (* b b))) (* -2 a)) (.f64 (-.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (neg.f64 b))) (/.f64 b (*.f64 #s(literal -2 binary64) a)))))
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(fma.f64 (/.f64 a (.f64 #s(literal -2 binary64) a)) (/.f64 b a) (.f64 (/.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 a #s(literal -4 binary64)) c))) #s(literal -2 binary64)) (/.f64 (.f64 #s(literal -2 binary64) a) (.f64 (*.f64 #s(literal -2 binary64) a) a))))
(fma.f64 (/.f64 (.f64 (/.f64 (sqrt.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 a #s(literal -4 binary64)) c))) #s(literal -2 binary64)) #s(literal -2 binary64)) a) (/.f64 a (.f64 #s(literal -2 binary64) a)) (.f64 (/.f64 b a) (/.f64 a (*.f64 #s(literal -2 binary64) a))))
(fma.f64 (/.f64 (/.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 a #s(literal -4 binary64)) c))) #s(literal -2 binary64)) a) (/.f64 (.f64 #s(literal 2 binary64) a) (.f64 #s(literal 2 binary64) a)) (.f64 (/.f64 b a) (/.f64 a (.f64 #s(literal -2 binary64) a))))
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) a) (.f64 #s(literal 2 binary64) a)) (/.f64 (/.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 a #s(literal -4 binary64)) c))) #s(literal -2 binary64)) a) (.f64 (/.f64 b a) (/.f64 a (.f64 #s(literal -2 binary64) a))))
(fma.f64 (/.f64 (/.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 a #s(literal -4 binary64)) c))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 #s(literal -2 binary64) a) a) (.f64 (/.f64 b a) (/.f64 a (.f64 #s(literal -2 binary64) a))))
(fma.f64 (/.f64 (.f64 #s(literal -2 binary64) a) a) (/.f64 (/.f64 (sqrt.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 a #s(literal -4 binary64)) c))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) a)) (.f64 (/.f64 b a) (/.f64 a (*.f64 #s(literal -2 binary64) a))))
(fma.f64 (.f64 (/.f64 (sqrt.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 a #s(literal -4 binary64)) c))) #s(literal -2 binary64)) #s(literal -2 binary64)) (/.f64 a (.f64 (.f64 #s(literal -2 binary64) a) a)) (.f64 (/.f64 b a) (/.f64 a (.f64 #s(literal -2 binary64) a))))
(fma.f64 (/.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 a #s(literal -4 binary64)) c))) #s(literal -2 binary64)) (/.f64 (.f64 #s(literal -2 binary64) a) (.f64 (.f64 #s(literal -2 binary64) a) a)) (.f64 (/.f64 b a) (/.f64 a (*.f64 #s(literal -2 binary64) a))))
(fma.f64 (/.f64 b (.f64 #s(literal -2 binary64) a)) (/.f64 a a) (.f64 (/.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 a #s(literal -4 binary64)) c))) #s(literal -2 binary64)) (/.f64 (.f64 #s(literal -2 binary64) a) (.f64 (*.f64 #s(literal -2 binary64) a) a))))
(fma.f64 (.f64 #s(literal -2 binary64) a) (/.f64 (/.f64 (sqrt.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 a #s(literal -4 binary64)) c))) #s(literal -2 binary64)) (.f64 (.f64 #s(literal -2 binary64) a) a)) (.f64 (/.f64 b a) (/.f64 a (.f64 #s(literal -2 binary64) a))))
(fma.f64 a (/.f64 b (.f64 (.f64 #s(literal -2 binary64) a) a)) (.f64 (/.f64 (sqrt.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 a #s(literal -4 binary64)) c))) #s(literal -2 binary64)) (/.f64 (.f64 #s(literal -2 binary64) a) (.f64 (*.f64 #s(literal -2 binary64) a) a))))
(fma.f64 b (/.f64 a (.f64 (.f64 #s(literal -2 binary64) a) a)) (.f64 (/.f64 (sqrt.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 a #s(literal -4 binary64)) c))) #s(literal -2 binary64)) (/.f64 (.f64 #s(literal -2 binary64) a) (.f64 (*.f64 #s(literal -2 binary64) a) a))))
(-.f64 (.f64 (/.f64 (sqrt.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 a #s(literal -4 binary64)) c))) #s(literal -2 binary64)) (/.f64 (.f64 #s(literal -2 binary64) a) (.f64 (.f64 #s(literal -2 binary64) a) a))) (/.f64 (.f64 (neg.f64 a) b) (.f64 (.f64 #s(literal -2 binary64) a) a)))
(+.f64 (.f64 (/.f64 b a) (/.f64 a (.f64 #s(literal -2 binary64) a))) (.f64 (/.f64 (sqrt.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 a #s(literal -4 binary64)) c))) #s(literal -2 binary64)) (/.f64 (.f64 #s(literal -2 binary64) a) (.f64 (*.f64 #s(literal -2 binary64) a) a))))
(+.f64 (.f64 (/.f64 (sqrt.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 a #s(literal -4 binary64)) c))) #s(literal -2 binary64)) (/.f64 (.f64 #s(literal -2 binary64) a) (.f64 (.f64 #s(literal -2 binary64) a) a))) (.f64 (/.f64 b a) (/.f64 a (*.f64 #s(literal -2 binary64) a))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 a #s(literal -4 binary64)) c))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 a #s(literal -4 binary64)) c)))) #s(literal 2 binary64))
(/.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 a #s(literal -4 binary64)) c))) #s(literal -2 binary64))
(neg.f64 (/.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 a #s(literal -4 binary64)) c))) #s(literal 2 binary64)))
(.f64 (neg.f64 (pow.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 a #s(literal -4 binary64)) c)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 a #s(literal -4 binary64)) c)) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 a #s(literal -4 binary64)) c)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 a #s(literal -4 binary64)) c)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 a #s(literal -4 binary64)) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 a #s(literal -4 binary64)) c)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 a #s(literal -4 binary64)) c)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 a #s(literal -4 binary64)) c)) #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 a #s(literal -4 binary64)) c))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 a #s(literal -4 binary64)) c)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 a #s(literal -4 binary64)) c)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 a #s(literal -4 binary64)) c)))
(+.f64 (cosh.f64 (.f64 (log.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 a #s(literal -4 binary64)) c))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 a #s(literal -4 binary64)) c))) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 a #s(literal -4 binary64)) c))) #s(literal 1/2 binary64)))
(.f64 (neg.f64 (pow.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (*.f64 b b)) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (*.f64 b b)) #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (*.f64 b b))))))
(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (*.f64 b b)))))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (*.f64 b b)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (*.f64 b b)) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) #s(literal 1 binary64))
(pow.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b)) #s(literal 1/2 binary64))
(/.f64 (fabs.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 a c)) #s(literal 2 binary64))))) (fabs.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b)))))
(/.f64 (fabs.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 #s(literal 4 binary64) (.f64 a c)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (fabs.f64 (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 (neg.f64 b) b)))))
(/.f64 (fabs.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 a c)) #s(literal 3 binary64))))) (fabs.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 a c)) (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b)) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (fabs.f64 (hypot.f64 (pow.f64 (.f64 #s(literal 4 binary64) (.f64 a c)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fabs.f64 (sqrt.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 a c) #s(literal 2 binary64)) (.f64 (.f64 b b) (fma.f64 #s(literal 4 binary64) (.f64 a c) (*.f64 b b)))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 a c)) #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 4 binary64) (.f64 a c)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 (neg.f64 b) b)))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 a c)) #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 a c)) (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b)) (pow.f64 b #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 a c) #s(literal 2 binary64)) (.f64 (.f64 b b) (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b)))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 #s(literal 4 binary64) (.f64 a c)) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 a c) #s(literal 2 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 (.f64 (.f64 a #s(literal -4 binary64)) c) (*.f64 (neg.f64 b) b))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 a c)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 #s(literal 4 binary64) (.f64 a c)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 (neg.f64 b) b))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 a c)) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) (.f64 a c)) (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (hypot.f64 (pow.f64 (.f64 #s(literal 4 binary64) (.f64 a c)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 4 binary64) (.f64 a c)) #s(literal 2 binary64)) (.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))))))
(/.f64 (hypot.f64 (pow.f64 (.f64 #s(literal 4 binary64) (.f64 a c)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 a c) #s(literal 2 binary64)) (.f64 (.f64 b b) (fma.f64 #s(literal 4 binary64) (.f64 a c) (*.f64 b b))))))
(sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b)))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b)))))
(fabs.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b)))))
(/.f64 (-.f64 (.f64 (.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b)) (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b) (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b)))) (.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b) (+.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b)))
(/.f64 (-.f64 (.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))))) (.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b)))) (pow.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b)) #s(literal 3/2 binary64)))) (.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b)))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b (fma.f64 (.f64 a #s(literal -4 binary64)) c (*.f64 b b))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b)) #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))))))
(/.f64 (neg.f64 (-.f64 (.f64 b b) (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b)))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (*.f64 b b))) b)))
(/.f64 (-.f64 (.f64 b b) (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (*.f64 b b))) b))
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b)) #s(literal 3/2 binary64))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b)))))
(-.f64 (/.f64 (.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b)) (/.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (*.f64 b b))) b)))
(-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))))) (/.f64 (pow.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))) b (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))))))
(-.f64 b (sqrt.f64 (fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))))
(/.f64 (/.f64 (neg.f64 c) b) (neg.f64 b))
(/.f64 (/.f64 c (neg.f64 b)) (neg.f64 b))
(/.f64 (neg.f64 (/.f64 c b)) (neg.f64 b))
(/.f64 (neg.f64 (neg.f64 c)) (*.f64 b b))
(/.f64 (/.f64 c b) b)
(/.f64 (neg.f64 c) (*.f64 (neg.f64 b) b))
(/.f64 c (*.f64 b b))
(neg.f64 (/.f64 c (*.f64 (neg.f64 b) b)))
#s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 a #s(literal -4 binary64)) c))

eval167.0ms (2.1%)

Memory: 24.1MiB live, 68.0MiB allocated; 7ms collecting garbage
Compiler: Compiled 31 909 to 3 146 computations (90.1% saved)

prune66.0ms (0.8%)

Memory

-38.7MiB live, 52.0MiB allocated; 7ms collecting garbage

Pruning

24 alts after pruning (17 fresh and 7 done)

	Pruned	Kept	Total
New	573	8	581
Fresh	3	9	12
Picked	2	3	5
Done	0	4	4
Total	578	24	602

Accuracy

89.1%

Counts

602 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.2%	(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) a) c (.f64 b b)))) b) (*.f64 #s(literal -2 binary64) a))
	10.5%	(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (.f64 (.f64 c a) #s(literal -4 binary64))) (-.f64 b (/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 a c)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))
✓	46.5%	(/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (.f64 (.f64 c a) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))))) (*.f64 #s(literal 2 binary64) a))
✓	49.1%	(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))
	33.0%	(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal -2 binary64) a))
	44.3%	(/.f64 (.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (neg.f64 b) (fma.f64 b b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))) (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (neg.f64 b) (fma.f64 b b (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))) (.f64 #s(literal 2 binary64) a))
	19.5%	(/.f64 (.f64 a (fma.f64 (/.f64 (sqrt.f64 #s(approx (+ ( -4 (* c a)) (* b b)) (.f64 (.f64 a #s(literal -4 binary64)) c))) #s(literal -2 binary64)) #s(literal -2 binary64) b)) (.f64 (.f64 #s(literal -2 binary64) a) a))
	25.6%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (.f64 (.f64 #s(literal -2 binary64) c) a) b)) (*.f64 #s(literal 2 binary64) a))
✓	26.5%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a))
✓	28.8%	(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (.f64 (.f64 (/.f64 #s(literal -2 binary64) b) c) a)) (*.f64 #s(literal 2 binary64) a))
	21.8%	(/.f64 #s(approx (+ (* (/ (sqrt (+ (* -4 (* c a)) (* b b))) -2) (* -2 a)) (* a b)) (.f64 (.f64 a b) #s(literal 2 binary64))) (.f64 a (.f64 #s(literal -2 binary64) a)))
	40.5%	(/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 (.f64 #s(literal 2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))))))
✓	33.0%	(+.f64 (/.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a)))
	13.2%	(+.f64 #s(approx (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (.f64 #s(approx (- (/ c ( b b)) (/ 1/2 a)) (/.f64 c (.f64 b b))) (neg.f64 b))) (/.f64 b (.f64 #s(literal -2 binary64) a)))
	7.0%	(+.f64 #s(approx (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) (.f64 #s(approx (- (/ c ( b b)) (/ 1/2 a)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) (.f64 a c))) c)) (neg.f64 b))) (/.f64 b (.f64 #s(literal -2 binary64) a)))
	13.4%	(+.f64 #s(approx (/ (sqrt (+ (* -4 (* c a)) (* b b))) (* -2 a)) #s(approx (* (- (/ c (* b b)) (/ 1/2 a)) (neg b)) (/.f64 (neg.f64 c) b))) (/.f64 b (*.f64 #s(literal -2 binary64) a)))
	34.0%	#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* (* c -4) a) (* b b))))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) b)))
	26.1%	#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) c) (-.f64 (.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 #s(literal 0 binary64) b)) (.f64 (.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64))) c))
✓	10.7%	#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (* 0 b) 1/4) #s(literal 0 binary64)))
	30.7%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a)))
	30.8%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))
	29.2%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a))
	31.0%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))
✓	36.3%	#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))

Compiler

Compiled 2 293 to 798 computations (65.2% saved)

regimes193.0ms (2.4%)

Memory

13.8MiB live, 67.5MiB allocated; 10ms collecting garbage

Counts

46 → 4

Calls

Call 1

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

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

Calls

4 calls:

156.0ms	a
12.0ms	c
11.0ms	b
10.0ms	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
73.9%	5	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
56.7%	5	`a`
84.0%	4	`b`
55.9%	4	`c`

Compiler

Compiled 20 to 23 computations (-15% saved)

regimes10.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB allocated; 0ms collecting garbage

Counts

32 → 3

Calls

Call 1

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

Outputs

#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))

(/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))

#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
81.7%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes26.0ms (0.3%)

Memory

-30.5MiB live, 13.5MiB allocated; 4ms collecting garbage

Counts

17 → 3

Calls

Call 1

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

Outputs

#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))

(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) b) (*.f64 #s(literal -2 binary64) a))

#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))

Calls

1 calls:

25.0ms

Results

Accuracy	Segments	Branch
78.9%	3	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB allocated; 0ms collecting garbage

Counts

13 → 2

Calls

Call 1

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

Outputs

#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))

#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))

Calls

2 calls:

4.0ms	b
4.0ms	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
49.6%	3	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
64.9%	2	`b`

Compiler

Compiled 18 to 17 computations (5.6% saved)

regimes2.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (* 0 b) 1/4) #s(literal 0 binary64)))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (.f64 (.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))

Outputs
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
64.8%	2	`b`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (* 0 b) 1/4) #s(literal 0 binary64)))

#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64)))

#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))

Outputs
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))

Calls

4 calls:

2.0ms	b
2.0ms	a
2.0ms	c
1.0ms	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
36.3%	1	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
36.3%	1	`a`
36.3%	1	`c`
36.3%	1	`b`

Compiler

Compiled 20 to 23 computations (-15% saved)

regimes25.0ms (0.3%)

Memory

-32.4MiB live, 13.5MiB allocated; 3ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (* 0 b) 1/4) #s(literal 0 binary64)))

#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (*.f64 (*.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64)))

Outputs
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (* 0 b) 1/4) #s(literal 0 binary64)))

Calls

4 calls:

21.0ms	a
1.0ms	c
1.0ms	b
1.0ms	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
10.7%	1	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
10.7%	1	`a`
10.7%	1	`b`
10.7%	1	`c`

Compiler

Compiled 20 to 23 computations (-15% saved)

bsearch87.0ms (1.1%)

Memory

15.6MiB live, 115.4MiB allocated; 12ms collecting garbage

Algorithm

3×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	2.3865441693141417e+81	1.483652223933e+90
46.0ms	-9.47874710990966e-118	-2.135317339310169e-124
25.0ms	-8.811735841011646e+28	-2.1923661662016303e+27

Samples

19.0ms	48×	0	invalid
15.0ms	190×	0	valid
15.0ms	66×	1	valid
14.0ms	62×	2	valid
1.0ms	2×	3	valid

Compiler

Compiled 1 101 to 808 computations (26.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-neg: 17.0ms (32.5% of total)

ival-mult: 12.0ms (22.9% of total)

ival-sqrt: 9.0ms (17.2% of total)

adjust: 5.0ms (9.5% of total)

ival-sub: 5.0ms (9.5% of total)

ival-div: 4.0ms (7.6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch36.0ms (0.5%)

Memory

12.3MiB live, 56.4MiB allocated; 5ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.3865441693141417e+81	1.483652223933e+90
32.0ms	-7.153203750057497e-65	-1.5904774642685436e-71

Samples

11.0ms	37×	1	valid
7.0ms	81×	0	valid
6.0ms	26×	2	valid
2.0ms	25×	0	invalid

Compiler

Compiled 517 to 431 computations (16.6% saved)

Precisions

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

ival-mult: 10.0ms (50.8% of total)

adjust: 3.0ms (15.2% of total)

ival-div: 2.0ms (10.2% of total)

ival-sub: 2.0ms (10.2% of total)

ival-sqrt: 2.0ms (10.2% of total)

ival-neg: 1.0ms (5.1% of total)

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

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

exact: 0.0ms (0% of total)

bsearch27.0ms (0.3%)

Memory

-2.0MiB live, 44.5MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	8.352099502815267e-72	2.4426688925467213e-65
1.0ms	-7.153203750057497e-65	-1.5904774642685436e-71

Samples

11.0ms	144×	0	valid
2.0ms	29×	0	invalid

Compiler

Compiled 848 to 686 computations (19.1% saved)

Precisions

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

ival-mult: 4.0ms (42.9% of total)

ival-sub: 2.0ms (21.5% of total)

ival-div: 1.0ms (10.7% of total)

ival-sqrt: 1.0ms (10.7% of total)

ival-neg: 1.0ms (10.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch30.0ms (0.4%)

Memory

1.6MiB live, 47.2MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	-5.712500822600752e-302	3.7373363721289617e-308

Samples

15.0ms	144×	0	valid
5.0ms	59×	0	invalid

Compiler

Compiled 452 to 362 computations (19.9% saved)

Precisions

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

ival-mult: 5.0ms (36.3% of total)

ival-sub: 5.0ms (36.3% of total)

ival-div: 1.0ms (7.3% of total)

ival-sqrt: 1.0ms (7.3% of total)

ival-neg: 1.0ms (7.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch32.0ms (0.4%)

Memory

-31.3MiB live, 24.8MiB allocated; 16ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	-5.712500822600752e-302	3.7373363721289617e-308

Samples

13.0ms	51×	0	invalid
10.0ms	128×	0	valid

Compiler

Compiled 416 to 344 computations (17.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 13.0ms (72.1% of total)

ival-sub: 2.0ms (11.1% of total)

ival-div: 1.0ms (5.5% of total)

ival-sqrt: 1.0ms (5.5% of total)

ival-neg: 1.0ms (5.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

simplify60.0ms (0.8%)

Memory

28.2MiB live, 73.8MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	89	423
1	140	419
2	281	407
3	788	403
4	2415	401
5	7351	401

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -8499999999999999975505264640 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal -3453472441069175/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 binary64)) (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (.f64 (.f64 c a) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))))) (.f64 #s(literal 2 binary64) a)) (if (<=.f64 b #s(literal 199999999999999998950733150383609864631589220901364351243883389463816617076615690273685504 binary64)) (+.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a))) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))))))
(if (<=.f64 b #s(literal -6216540455122333/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 199999999999999998950733150383609864631589220901364351243883389463816617076615690273685504 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal -6216540455122333/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 7398836601250335/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) b) (.f64 #s(literal -2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -741219189357827/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (* 0 b) 1/4) #s(literal 0 binary64)))

Outputs
(if (<=.f64 b #s(literal -8499999999999999975505264640 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal -3453472441069175/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 binary64)) (/.f64 (/.f64 #s(approx (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (.f64 (.f64 c a) #s(literal -4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))))) (.f64 #s(literal 2 binary64) a)) (if (<=.f64 b #s(literal 199999999999999998950733150383609864631589220901364351243883389463816617076615690273685504 binary64)) (+.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) (.f64 #s(literal -2 binary64) a)) (/.f64 b (.f64 #s(literal -2 binary64) a))) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))))))
(if (<=.f64 b #s(literal -6216540455122333/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 199999999999999998950733150383609864631589220901364351243883389463816617076615690273685504 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (.f64 #s(literal -2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal -6216540455122333/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 7398836601250335/948568795032094272909893509191171341133987714380927500611236528192824358010355712 binary64)) (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (.f64 #s(literal -4 binary64) (.f64 a c)))) b) (.f64 #s(literal -2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- ( b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))))
(if (<=.f64 b #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -741219189357827/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)))
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b)))
#s(approx (/ (/ (+ (* (neg b) b) (+ (* -4 (* c a)) (* b b))) (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) #s(approx (* (* 0 b) 1/4) #s(literal 0 binary64)))

derivations884.0ms (11.2%)

Memory

11.2MiB live, 572.0MiB allocated; 93ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	51
0	23	51
1	73	51
2	493	50
3	6058	50
0	8175	46
0	1344	9714
1	4883	8804
0	8723	8390
0	1345	9724
1	4883	8810
0	8724	8396
0	545	2723
1	1785	2702
2	7277	2702
0	8059	2563
0	61	410
0	93	390
1	322	386
2	2314	386
0	8131	386

Stop Event

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

Compiler

Compiled 425 to 92 computations (78.4% saved)

preprocess152.0ms (1.9%)

Memory: 11.9MiB live, 153.0MiB allocated; 52ms collecting garbage
Compiler: Compiled 1 094 to 268 computations (75.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Iter	Nodes	Cost
0	14	70
0	23	70
1	43	70
2	91	70
3	170	70
4	253	70
5	304	70
6	314	70
7	342	70
8	378	70
9	405	70
0	405	66

Iter	Nodes	Cost
0	14	70
0	23	70
1	43	70
2	91	70
3	170	70
4	253	70
5	304	70
6	314	70
7	342	70
8	378	70
9	405	70
0	405	66

start0.0ms (0%)

analyze159.0ms (2%)

sample1.9s (24.5%)

explain238.0ms (3%)

preprocess81.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify10.0ms (0.1%)

localize50.0ms (0.6%)

series22.0ms (0.3%)

simplify186.0ms (2.4%)

rewrite234.0ms (3%)

eval46.0ms (0.6%)

prune19.0ms (0.2%)

simplify153.0ms (1.9%)

localize225.0ms (2.9%)

series84.0ms (1.1%)

simplify249.0ms (3.2%)

rewrite211.0ms (2.7%)

eval143.0ms (1.8%)

prune35.0ms (0.4%)

simplify121.0ms (1.5%)

localize294.0ms (3.7%)

series36.0ms (0.5%)

simplify205.0ms (2.6%)

rewrite175.0ms (2.2%)

eval125.0ms (1.6%)

prune32.0ms (0.4%)

simplify127.0ms (1.6%)

localize375.0ms (4.8%)

series43.0ms (0.5%)

simplify251.0ms (3.2%)

rewrite209.0ms (2.7%)

eval167.0ms (2.1%)

prune66.0ms (0.8%)

regimes193.0ms (2.4%)

regimes10.0ms (0.1%)

regimes26.0ms (0.3%)

regimes9.0ms (0.1%)

regimes2.0ms (0%)

regimes7.0ms (0.1%)

regimes25.0ms (0.3%)

bsearch87.0ms (1.1%)

bsearch36.0ms (0.5%)

bsearch27.0ms (0.3%)

bsearch30.0ms (0.4%)

bsearch32.0ms (0.4%)

simplify60.0ms (0.8%)

derivations884.0ms (11.2%)

preprocess152.0ms (1.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	70
0	23	70
1	43	70
2	91	70
3	170	70
4	253	70
5	304	70
6	314	70
7	342	70
8	378	70
9	405	70
0	405	66