Metrics for Quadratic roots, wide range

analyze214.0ms (1.6%)

Memory

-4.9MiB live, 325.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
0%	0%	0%	100%	0%	0%	0%	3
0%	0%	0%	100%	0%	0%	0%	4
0%	0%	0%	100%	0%	0%	0%	5
0%	0%	0%	100%	0%	0%	0%	6
6.8%	0%	0%	100%	0%	0%	0%	7
15.9%	0%	0%	100%	0%	0%	0%	8
23.1%	0%	0%	100%	0%	0%	0%	9
36.5%	0%	0%	100%	0%	0%	0%	10
45.4%	0%	0%	100%	0%	0%	0%	11
52.3%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 41 to 28 computations (31.7% saved)

sample2.8s (20.9%)

Memory

49.6MiB live, 2 911.1MiB allocated

Samples

1.5s	6 771×	1	valid
255.0ms	1 485×	0	valid
189.0ms	1 124×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-mult: 295.0ms (19.5% of total)

const: 198.0ms (13.1% of total)

ival-<: 181.0ms (11.9% of total)

ival-div: 168.0ms (11.1% of total)

ival-sqrt: 166.0ms (11% of total)

adjust: 154.0ms (10.2% of total)

ival-sub: 133.0ms (8.8% of total)

ival-neg: 90.0ms (5.9% of total)

ival-add: 77.0ms (5.1% of total)

ival-and: 34.0ms (2.2% of total)

exact: 14.0ms (0.9% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

preprocess165.0ms (1.2%)

Memory

-15.7MiB live, 107.0MiB allocated

Algorithm

1×	egg-herbie

Rules

1 548×	`div-sub`
1 120×	`accelerator-lowering-fma.f32`
1 120×	`accelerator-lowering-fma.f64`
1 004×	`sub-neg`
744×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	158
1	162	144
2	463	144
3	1233	144
4	3210	144
5	6057	144
0	14	17
1	31	16
2	68	16
3	151	16
4	231	16
5	372	16
6	654	16
7	1122	16
8	2225	16
9	2509	16
10	2626	16
11	2681	16
12	2682	16
13	2682	16
14	2688	16
0	2688	15

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))

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

explain291.0ms (2.2%)

Memory

27.0MiB live, 266.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
247	-	-	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`
0	-	-	`a`
0	-	-	`#s(literal 4 binary64)`
0	-	-	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`
0	-	-	`(.f64 (.f64 #s(literal 4 binary64) a) c)`
0	-	-	`(*.f64 b b)`
0	-	-	`(*.f64 #s(literal 2 binary64) a)`
0	-	-	`c`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(neg.f64 b)`
0	-	-	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`
0	-	-	`(*.f64 #s(literal 4 binary64) a)`
0	-	-	`b`
0	-	-	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`	cancellation	247	2

Confusion

	Predicted +	Predicted -
+	247	0
-	0	9

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	247	0	0
-	0	2	7

Precision?

0.9919678714859438

Recall?

1.0

Freqs

test

number	freq
0	9
1	247

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

95.0ms	446×	1	valid
6.0ms	66×	0	valid

Compiler

Compiled 184 to 60 computations (67.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

adjust: 27.0ms (37.6% of total)

ival-mult: 18.0ms (25.1% of total)

ival-sqrt: 7.0ms (9.8% of total)

ival-div: 6.0ms (8.4% of total)

ival-add: 4.0ms (5.6% of total)

ival-sub: 4.0ms (5.6% of total)

ival-neg: 4.0ms (5.6% of total)

ival-true: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune41.0ms (0.3%)

Memory

-40.8MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	15.0%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Compiler

Compiled 20 to 14 computations (30% saved)

simplify106.0ms (0.8%)

Memory

10.2MiB live, 87.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 b)
✓	cost-diff	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
✓	cost-diff	128	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
✓	cost-diff	128	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))

Rules

1 120×	`accelerator-lowering-fma.f32`
1 120×	`accelerator-lowering-fma.f64`
744×	`-lowering-.f32`
744×	`-lowering-.f64`
434×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	70
1	31	68
2	68	68
3	151	68
4	231	68
5	372	68
6	654	68
7	1122	68
8	2225	68
9	2509	68
10	2626	68
11	2681	68
12	2682	68
13	2682	68
14	2688	68
0	2688	64

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(neg b)
b
(sqrt (- (* b b) (* (* 4 a) c)))
(- (* b b) (* (* 4 a) c))
(* b b)
(* (* 4 a) c)
(* 4 a)
4
a
c
(* 2 a)
2

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

localize87.0ms (0.7%)

Memory

22.9MiB live, 62.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))
✓	accuracy	99.9%	(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))
✓	accuracy	99.6%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
✓	accuracy	15.1%	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))

Samples

68.0ms	223×	1	valid
3.0ms	33×	0	valid

Compiler

Compiled 72 to 16 computations (77.8% saved)

Precisions

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

ival-mult: 8.0ms (32.4% of total)

ival-div: 3.0ms (12.2% of total)

adjust: 3.0ms (12.2% of total)

ival-sqrt: 3.0ms (12.2% of total)

ival-add: 2.0ms (8.1% of total)

ival-sub: 2.0ms (8.1% of total)

ival-neg: 2.0ms (8.1% of total)

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

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

exact: 0.0ms (0% of total)

series42.0ms (0.3%)

Memory

-10.0MiB live, 30.1MiB allocated

Counts

5 → 156

Calls

Call 1

Inputs
#<alt (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))>
#<alt (- (* b b) (* (* 4 a) c))>
#<alt (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))>
#<alt (neg b)>
#<alt (sqrt (- (* b b) (* (* 4 a) c)))>

Outputs
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* 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)))>
#<alt (* -2 (/ (* a c) b))>
#<alt (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -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)>
#<alt (* -2 b)>
#<alt (* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* 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))))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))>
#<alt (* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))>
#<alt (* 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)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -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))))))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))>
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))>
#<alt (* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))>
#<alt (* 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)))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -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))))))>
#<alt (* -4 (* a c))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (- (pow b 2) (* 4 (* a c)))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* a (- (/ (pow b 2) a) (* 4 c)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* c (- (/ (pow b 2) c) (* 4 a)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ c b))>
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)>
#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))>
#<alt (* -1 (/ c b))>
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))>
#<alt (* -1 (/ c b))>
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* 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)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -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))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* 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)))))>
#<alt (* 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))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -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)))))))>
#<alt (* -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

39 calls:

Time	Variable		Point	Expression
21.0ms	c	@	-inf	(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
1.0ms	b	@	inf	(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
1.0ms	c	@	inf	(sqrt (- (* b b) (* (* 4 a) c)))
1.0ms	b	@	0	(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
1.0ms	b	@	inf	(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))

rewrite526.0ms (3.9%)

Memory

16.9MiB live, 412.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 850×	`accelerator-lowering-fma.f32`
4 850×	`accelerator-lowering-fma.f64`
3 904×	`-lowering-.f32`
3 904×	`-lowering-.f64`
2 332×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	51
1	67	49
2	527	48
3	6858	48
0	8152	44

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 440

Calls

Call 1

Inputs
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(- (* b b) (* (* 4 a) c))
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
(neg b)
(sqrt (- (* b b) (* (* 4 a) c)))

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

simplify479.0ms (3.6%)

Memory

6.2MiB live, 639.1MiB allocated

Algorithm

1×	egg-herbie

Rules

11 458×	`accelerator-lowering-fma.f32`
11 458×	`accelerator-lowering-fma.f64`
7 766×	`-lowering-.f32`
7 766×	`-lowering-.f64`
2 546×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	545	3273
1	1738	3232
2	6083	3204
0	8243	3047

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
(* (sqrt (* a c)) (sqrt -4))
(+ (* -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 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) 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)
(/ (+ (* -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)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* 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 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (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)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -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 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* 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)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -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))))))
(* -4 (* a c))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(- (pow b 2) (* 4 (* a c)))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* a (- (/ (pow b 2) a) (* 4 c)))
(* -4 (* a c))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* c (- (/ (pow b 2) c) (* 4 a)))
(* -4 (* a c))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* -1 b)
(* (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)))))))))
b
(* 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 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))))))))
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))))))))
(* (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))))))
(* -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))))))))
b
(+ b (* -2 (/ (* a c) 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))))))))
(* (sqrt (* a c)) (sqrt -4))
(* 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))))))
(* -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
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (neg.f64 b))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 b (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* 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)))
(fma.f64 b (fma.f64 b (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c))))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/32 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1 binary64)) (.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
(* -2 (/ (* a c) b))
(.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/.f64 (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (.f64 a (.f64 c c)) (.f64 b b)) (*.f64 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)
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c))))) (.f64 (.f64 b b) (.f64 b b))) (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (.f64 a (.f64 c c)) (.f64 b b)) (*.f64 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))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c))))) (.f64 (.f64 b b) (.f64 b b))) (fma.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (.f64 a (.f64 c c)) (.f64 b b)) (.f64 a c)) (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (pow.f64 b #s(literal 6 binary64))))))) b)
(* -2 b)
(*.f64 b #s(literal -2 binary64))
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(.f64 b (neg.f64 (fma.f64 (.f64 a c) (/.f64 #s(literal -2 binary64) (*.f64 b b)) #s(literal 2 binary64))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
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(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
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(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
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(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
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(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
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(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* -1 b)
(neg.f64 b)
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(fma.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* (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)))))))
(fma.f64 (.f64 b b) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c))))))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/32 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))) (.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* (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)))))))))
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b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(fma.f64 b (/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b)) b)
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
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(* 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)))))))
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(* -1 b)
(neg.f64 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
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(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
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(* -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))))))))
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b
(+ b (* -2 (/ (* a c) b)))
(fma.f64 a (*.f64 #s(literal -2 binary64) (/.f64 c b)) b)
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
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(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
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(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
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(* 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)))))
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(* 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))))))
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(* -2 (* (sqrt (* a c)) (sqrt -1)))
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(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
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b
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(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
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(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 (.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
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(* 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 c (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))))))
(* 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 c (fma.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64)))))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)) (fma.f64 (/.f64 (.f64 (.f64 (.f64 b b) (.f64 b b)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (sqrt.f64 (.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -2 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 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (.f64 b (*.f64 b (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)))))))
(neg.f64 (.f64 c (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 #s(literal -1/64 binary64) (.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (.f64 b (*.f64 b (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))))))))
(neg.f64 (.f64 c (fma.f64 #s(literal -1/64 binary64) (.f64 (.f64 (.f64 b b) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 5 binary64))))))) (fma.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (.f64 (.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64))))))))

eval90.0ms (0.7%)

Memory: -1.7MiB live, 229.2MiB allocated
Compiler: Compiled 22 355 to 2 082 computations (90.7% saved)

prune114.0ms (0.8%)

Memory

-21.3MiB live, 324.0MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	576	20	596
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	577	20	597

Accuracy

99.8%

Counts

597 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.5%	(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b b) (.f64 b b))) (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (.f64 a (pow.f64 b #s(literal 6 binary64)))))) (fma.f64 (.f64 c c) (/.f64 a (*.f64 b b)) c))) b)
	96.3%	(/.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c))))) (.f64 (.f64 b b) (.f64 b b))) (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (.f64 a (.f64 c c)) (.f64 b b)) (.f64 a c)))) b) (.f64 #s(literal 2 binary64) a))
	15.4%	(/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (.f64 b b)) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b))) (.f64 b (.f64 b b)))) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b))) (.f64 b b))) (.f64 #s(literal 2 binary64) a))
	14.8%	(/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) b) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a))
	95.0%	(/.f64 (/.f64 (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (.f64 a (.f64 c c)) (.f64 b b)) (.f64 a c))) b) (.f64 #s(literal 2 binary64) a))
	15.3%	(/.f64 (-.f64 (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))) (.f64 #s(literal 2 binary64) a))
	96.8%	(/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (/.f64 (.f64 c (.f64 c c)) (.f64 (.f64 b b) (.f64 b b)))) (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c)) b)
	15.1%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a))
	15.0%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
▶	15.1%	(/.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))) (*.f64 #s(literal 2 binary64) a))
▶	95.3%	(/.f64 (.f64 (.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (.f64 c c) (.f64 b (.f64 b b))) (/.f64 c b))) (.f64 #s(literal 2 binary64) a))
	91.7%	(/.f64 (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
▶	92.1%	(/.f64 c (neg.f64 b))
	14.8%	(-.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64))))
	97.5%	(+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)) (.f64 (.f64 a a) (fma.f64 (.f64 (/.f64 (.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))))))
▶	15.1%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
	96.3%	(.f64 c (fma.f64 c (fma.f64 (.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (.f64 c #s(literal -2 binary64)) (/.f64 (neg.f64 a) (.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))
	97.1%	(.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) c) (/.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) (.f64 a b))) (/.f64 (neg.f64 a) (.f64 b (.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))
	95.0%	(.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (.f64 a c) (.f64 b (.f64 b b)))))
	95.4%	(neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))

Compiler

Compiled 1 268 to 678 computations (46.5% saved)

simplify366.0ms (2.7%)

Memory

13.6MiB live, 753.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
✓	cost-diff	0	(/.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))) (*.f64 #s(literal 2 binary64) a))
✓	cost-diff	320	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))
✓	cost-diff	4736	(.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))))
✓	cost-diff	0	(*.f64 a #s(literal -2 binary64))
✓	cost-diff	0	(.f64 (.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (.f64 c c) (.f64 b (*.f64 b b))) (/.f64 c b)))
✓	cost-diff	320	(fma.f64 a (/.f64 (.f64 c c) (.f64 b (*.f64 b b))) (/.f64 c b))
✓	cost-diff	1536	(/.f64 (.f64 (.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (.f64 c c) (.f64 b (.f64 b b))) (/.f64 c b))) (.f64 #s(literal 2 binary64) a))
✓	cost-diff	0	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))
✓	cost-diff	0	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) a)
✓	cost-diff	0	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
✓	cost-diff	0	(neg.f64 b)
✓	cost-diff	0	(/.f64 c (neg.f64 b))
✓	cost-diff	0	(/.f64 (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b b) (*.f64 b b)))
✓	cost-diff	0	(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b b) (.f64 b b))) (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (.f64 a (pow.f64 b #s(literal 6 binary64)))))) (fma.f64 (.f64 c c) (/.f64 a (*.f64 b b)) c))) b)
✓	cost-diff	320	(.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (.f64 a (pow.f64 b #s(literal 6 binary64))))))
✓	cost-diff	1152	(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b b) (.f64 b b))) (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (.f64 a (pow.f64 b #s(literal 6 binary64)))))) (fma.f64 (.f64 c c) (/.f64 a (*.f64 b b)) c)))

Rules

11 390×	`accelerator-lowering-fma.f32`
11 390×	`accelerator-lowering-fma.f64`
6 396×	`-lowering-.f32`
6 396×	`-lowering-.f64`
2 648×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	565
1	161	555
2	618	541
3	2599	504
4	5235	499
0	8737	480

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (* -2 (/ (* c (* a (* a (* c c)))) (* (* b b) (* b b)))) (- (* -1/4 (* (* (pow a 4) (pow c 4)) (/ 20 (* a (pow b 6))))) (+ (* (* c c) (/ a (* b b))) c))) b)
(+ (* -2 (/ (* c (* a (* a (* c c)))) (* (* b b) (* b b)))) (- (* -1/4 (* (* (pow a 4) (pow c 4)) (/ 20 (* a (pow b 6))))) (+ (* (* c c) (/ a (* b b))) c)))
-2
(/ (* c (* a (* a (* c c)))) (* (* b b) (* b b)))
(* c (* a (* a (* c c))))
c
(* a (* a (* c c)))
a
(* a (* c c))
(* c c)
(* (* b b) (* b b))
(* b b)
b
(- (* -1/4 (* (* (pow a 4) (pow c 4)) (/ 20 (* a (pow b 6))))) (+ (* (* c c) (/ a (* b b))) c))
(* -1/4 (* (* (pow a 4) (pow c 4)) (/ 20 (* a (pow b 6)))))
-1/4
(* (* (pow a 4) (pow c 4)) (/ 20 (* a (pow b 6))))
(* (pow a 4) (pow c 4))
(pow a 4)
4
(pow c 4)
(/ 20 (* a (pow b 6)))
20
(* a (pow b 6))
(pow b 6)
6
(+ (* (* c c) (/ a (* b b))) c)
(/ a (* b b))
(/ c (neg b))
c
(neg b)
b
(* (/ -1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4))))))
(/ -1/2 a)
-1/2
a
(- b (sqrt (+ (* b b) (* c (* a -4)))))
b
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* c (* a -4))
c
(* a -4)
-4
(/ (* (* a -2) (+ (* a (/ (* c c) (* b (* b b)))) (/ c b))) (* 2 a))
(* (* a -2) (+ (* a (/ (* c c) (* b (* b b)))) (/ c b)))
(* a -2)
a
-2
(+ (* a (/ (* c c) (* b (* b b)))) (/ c b))
(/ (* c c) (* b (* b b)))
(* c c)
c
(* b (* b b))
b
(* b b)
(/ c b)
(* 2 a)
2
(/ (* (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* (- b (sqrt (+ (* b b) (* c (* a -4))))) (/ -1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))))) (* 2 a))
(* (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* (- b (sqrt (+ (* b b) (* c (* a -4))))) (/ -1 (+ b (sqrt (+ (* b b) (* c (* a -4))))))))
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
b
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* c (* a -4))
c
(* a -4)
a
-4
(* (- b (sqrt (+ (* b b) (* c (* a -4))))) (/ -1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))))
(- b (sqrt (+ (* b b) (* c (* a -4)))))
(/ -1 (+ b (sqrt (+ (* b b) (* c (* a -4))))))
-1
(* 2 a)
2

Outputs
(/ (+ (* -2 (/ (* c (* a (* a (* c c)))) (* (* b b) (* b b)))) (- (* -1/4 (* (* (pow a 4) (pow c 4)) (/ 20 (* a (pow b 6))))) (+ (* (* c c) (/ a (* b b))) c))) b)
(/.f64 (-.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal -5 binary64) (.f64 a (pow.f64 b #s(literal 6 binary64)))))) (fma.f64 (/.f64 (.f64 c a) (.f64 b b)) (-.f64 c (.f64 (/.f64 (.f64 c (.f64 c a)) (*.f64 b b)) #s(literal -2 binary64))) c)) b)
(+ (* -2 (/ (* c (* a (* a (* c c)))) (* (* b b) (* b b)))) (- (* -1/4 (* (* (pow a 4) (pow c 4)) (/ 20 (* a (pow b 6))))) (+ (* (* c c) (/ a (* b b))) c)))
(-.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal -5 binary64) (.f64 a (pow.f64 b #s(literal 6 binary64)))))) (fma.f64 (/.f64 (.f64 c a) (.f64 b b)) (-.f64 c (.f64 (/.f64 (.f64 c (.f64 c a)) (*.f64 b b)) #s(literal -2 binary64))) c))
-2
#s(literal -2 binary64)
(/ (* c (* a (* a (* c c)))) (* (* b b) (* b b)))
(/.f64 (.f64 a (.f64 c (.f64 c (.f64 c a)))) (.f64 b (.f64 b (*.f64 b b))))
(* c (* a (* a (* c c))))
(.f64 a (.f64 c (.f64 c (.f64 c a))))
c
(* a (* a (* c c)))
(.f64 c (.f64 c (*.f64 a a)))
a
(* a (* c c))
(.f64 c (.f64 c a))
(* c c)
(*.f64 c c)
(* (* b b) (* b b))
(.f64 b (.f64 b (*.f64 b b)))
(* b b)
(*.f64 b b)
b
(- (* -1/4 (* (* (pow a 4) (pow c 4)) (/ 20 (* a (pow b 6))))) (+ (* (* c c) (/ a (* b b))) c))
(fma.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal -5 binary64) (.f64 a (pow.f64 b #s(literal 6 binary64))))) (.f64 c (fma.f64 (/.f64 a (.f64 b b)) (neg.f64 c) #s(literal -1 binary64))))
(* -1/4 (* (* (pow a 4) (pow c 4)) (/ 20 (* a (pow b 6)))))
(.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal -5 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))))
-1/4
#s(literal -1/4 binary64)
(* (* (pow a 4) (pow c 4)) (/ 20 (* a (pow b 6))))
(/.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64))) (*.f64 a (pow.f64 b #s(literal 6 binary64))))
(* (pow a 4) (pow c 4))
(*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))
(pow a 4)
(pow.f64 a #s(literal 4 binary64))
4
#s(literal 4 binary64)
(pow c 4)
(pow.f64 c #s(literal 4 binary64))
(/ 20 (* a (pow b 6)))
(/.f64 #s(literal 20 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64))))
20
#s(literal 20 binary64)
(* a (pow b 6))
(*.f64 a (pow.f64 b #s(literal 6 binary64)))
(pow b 6)
(pow.f64 b #s(literal 6 binary64))
6
#s(literal 6 binary64)
(+ (* (* c c) (/ a (* b b))) c)
(fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c)
(/ a (* b b))
(/.f64 a (*.f64 b b))
(/ c (neg b))
(neg.f64 (/.f64 c b))
c
(neg b)
(neg.f64 b)
b
(* (/ -1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4))))))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (*.f64 a #s(literal 2 binary64)))
(/ -1/2 a)
(/.f64 #s(literal -1/2 binary64) a)
-1/2
#s(literal -1/2 binary64)
a
(- b (sqrt (+ (* b b) (* c (* a -4)))))
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))
b
(sqrt (+ (* b b) (* c (* a -4))))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
(+ (* b b) (* c (* a -4)))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(* c (* a -4))
(.f64 #s(literal -4 binary64) (.f64 c a))
c
(* a -4)
(*.f64 a #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(/ (* (* a -2) (+ (* a (/ (* c c) (* b (* b b)))) (/ c b))) (* 2 a))
(/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) (neg.f64 b))
(* (* a -2) (+ (* a (/ (* c c) (* b (* b b)))) (/ c b)))
(.f64 (.f64 #s(literal -2 binary64) a) (.f64 (fma.f64 c (/.f64 a (.f64 b b)) #s(literal 1 binary64)) (/.f64 c b)))
(* a -2)
(*.f64 #s(literal -2 binary64) a)
a
-2
#s(literal -2 binary64)
(+ (* a (/ (* c c) (* b (* b b)))) (/ c b))
(.f64 (fma.f64 c (/.f64 a (.f64 b b)) #s(literal 1 binary64)) (/.f64 c b))
(/ (* c c) (* b (* b b)))
(/.f64 (.f64 c c) (.f64 b (*.f64 b b)))
(* c c)
(*.f64 c c)
c
(* b (* b b))
(.f64 b (.f64 b b))
b
(* b b)
(*.f64 b b)
(/ c b)
(/.f64 c b)
(* 2 a)
(*.f64 a #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (* (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* (- b (sqrt (+ (* b b) (* c (* a -4))))) (/ -1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))))) (* 2 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (*.f64 a #s(literal 2 binary64)))
(* (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* (- b (sqrt (+ (* b b) (* c (* a -4))))) (/ -1 (+ b (sqrt (+ (* b b) (* c (* a -4))))))))
(-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b)
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
(+.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))
b
(sqrt (+ (* b b) (* c (* a -4))))
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))
(+ (* b b) (* c (* a -4)))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(* c (* a -4))
(.f64 #s(literal -4 binary64) (.f64 c a))
c
(* a -4)
(*.f64 a #s(literal -4 binary64))
a
-4
#s(literal -4 binary64)
(* (- b (sqrt (+ (* b b) (* c (* a -4))))) (/ -1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))) b) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))
(- b (sqrt (+ (* b b) (* c (* a -4)))))
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))))
(/ -1 (+ b (sqrt (+ (* b b) (* c (* a -4))))))
(/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b)))))
-1
#s(literal -1 binary64)
(* 2 a)
(*.f64 a #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize355.0ms (2.6%)

Memory

-5.9MiB live, 590.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))) (*.f64 #s(literal 2 binary64) a))
✓	accuracy	99.6%	(.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))))
✓	accuracy	99.5%	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64))))))))
✓	accuracy	15.1%	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
✓	accuracy	99.6%	(.f64 b (.f64 b b))
✓	accuracy	99.6%	(.f64 (.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (.f64 c c) (.f64 b (*.f64 b b))) (/.f64 c b)))
✓	accuracy	99.6%	(/.f64 (.f64 (.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (.f64 c c) (.f64 b (.f64 b b))) (/.f64 c b))) (.f64 #s(literal 2 binary64) a))
✓	accuracy	99.5%	(/.f64 (.f64 c c) (.f64 b (*.f64 b b)))
✓	accuracy	100.0%	(fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))
✓	accuracy	99.9%	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))
✓	accuracy	99.5%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
✓	accuracy	15.1%	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
✓	accuracy	100.0%	(/.f64 c (neg.f64 b))
✓	accuracy	100.0%	(neg.f64 b)
✓	accuracy	99.5%	(/.f64 (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b b) (*.f64 b b)))
✓	accuracy	99.5%	(.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (*.f64 a (pow.f64 b #s(literal 6 binary64)))))
✓	accuracy	99.4%	(*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))
✓	accuracy	99.2%	(.f64 (.f64 b b) (*.f64 b b))

Samples

245.0ms	207×	1	valid
18.0ms	49×	0	valid

Compiler

Compiled 587 to 59 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 216.0ms

adjust: 115.0ms (53.3% of total)

ival-mult: 43.0ms (19.9% of total)

ival-div: 30.0ms (13.9% of total)

ival-add: 10.0ms (4.6% of total)

ival-pow: 8.0ms (3.7% of total)

ival-sub: 4.0ms (1.9% of total)

ival-sqrt: 3.0ms (1.4% 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)

series91.0ms (0.7%)

Memory

22.4MiB live, 259.9MiB allocated

Counts

24 → 708

Calls

Call 1

Inputs
#<alt (+ (* -2 (/ (* c (* a (* a (* c c)))) (* (* b b) (* b b)))) (- (* -1/4 (* (* (pow a 4) (pow c 4)) (/ 20 (* a (pow b 6))))) (+ (* (* c c) (/ a (* b b))) c)))>
#<alt (* -1/4 (* (* (pow a 4) (pow c 4)) (/ 20 (* a (pow b 6)))))>
#<alt (/ (+ (* -2 (/ (* c (* a (* a (* c c)))) (* (* b b) (* b b)))) (- (* -1/4 (* (* (pow a 4) (pow c 4)) (/ 20 (* a (pow b 6))))) (+ (* (* c c) (/ a (* b b))) c))) b)>
#<alt (/ (* c (* a (* a (* c c)))) (* (* b b) (* b b)))>
#<alt (/ c (neg b))>
#<alt (neg b)>
#<alt (* (/ -1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4))))))>
#<alt (/ -1/2 a)>
#<alt (- b (sqrt (+ (* b b) (* c (* a -4)))))>
#<alt (sqrt (+ (* b b) (* c (* a -4))))>
#<alt (/ (* (* a -2) (+ (* a (/ (* c c) (* b (* b b)))) (/ c b))) (* 2 a))>
#<alt (+ (* a (/ (* c c) (* b (* b b)))) (/ c b))>
#<alt (* (* a -2) (+ (* a (/ (* c c) (* b (* b b)))) (/ c b)))>
#<alt (* a -2)>
#<alt (* (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* (- b (sqrt (+ (* b b) (* c (* a -4))))) (/ -1 (+ b (sqrt (+ (* b b) (* c (* a -4))))))))>
#<alt (* (- b (sqrt (+ (* b b) (* c (* a -4))))) (/ -1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))))>
#<alt (/ (* (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* (- b (sqrt (+ (* b b) (* c (* a -4))))) (/ -1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))))) (* 2 a))>
#<alt (+ b (sqrt (+ (* b b) (* c (* a -4)))))>
#<alt (* (* b b) (* b b))>
#<alt (* (pow a 4) (pow c 4))>
#<alt (* (* (pow a 4) (pow c 4)) (/ 20 (* a (pow b 6))))>
#<alt (+ (* b b) (* c (* a -4)))>
#<alt (/ (* c c) (* b (* b b)))>
#<alt (* b (* b b))>

Outputs
#<alt (* -1 c)>
#<alt (* c (- (* -1 (/ (* a c) (pow b 2))) 1))>
#<alt (* c (- (* c (- (* -2 (/ (* (pow a 2) c) (pow b 4))) (/ a (pow b 2)))) 1))>
#<alt (* c (- (* c (- (* c (+ (* -5 (/ (* (pow a 3) c) (pow b 6))) (* -2 (/ (pow a 2) (pow b 4))))) (/ a (pow b 2)))) 1))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 6))) (* -2 (/ (pow a 2) (* (pow b 4) c)))))>
#<alt (* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 6))) (+ (* -2 (/ (pow a 2) (* (pow b 4) c))) (* -1 (/ a (* (pow b 2) (pow c 2)))))))>
#<alt (* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 6))) (+ (* -2 (/ (pow a 2) (* (pow b 4) c))) (* -1 (/ (+ (/ 1 c) (/ a (pow b 2))) (pow c 2))))))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 6))) (* -2 (/ (pow a 2) (* (pow b 4) c)))))>
#<alt (* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 6))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow b 4))) (/ a (* (pow b 2) c))) c))))>
#<alt (* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 6))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow b 4))) (+ (/ 1 (pow c 2)) (/ a (* (pow b 2) c)))) c))))>
#<alt (* -1 c)>
#<alt (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)>
#<alt (- (* a (- (* -2 (/ (* a (pow c 3)) (pow b 4))) (/ (pow c 2) (pow b 2)))) c)>
#<alt (- (* a (- (* a (+ (* -5 (/ (* a (pow c 4)) (pow b 6))) (* -2 (/ (pow c 3) (pow b 4))))) (/ (pow c 2) (pow b 2)))) c)>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 6))) (* -2 (/ (pow c 3) (* a (pow b 4))))))>
#<alt (* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 6))) (+ (* -2 (/ (pow c 3) (* a (pow b 4)))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 2)))))))>
#<alt (* (pow a 3) (- (+ (* -5 (/ (pow c 4) (pow b 6))) (+ (* -2 (/ (pow c 3) (* a (pow b 4)))) (* -1 (/ c (pow a 3))))) (/ (pow c 2) (* (pow a 2) (pow b 2)))))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -1 (* (pow a 3) (+ (* 2 (/ (pow c 3) (* a (pow b 4)))) (* 5 (/ (pow c 4) (pow b 6))))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ (pow c 2) (* a (pow b 2))))) a)) (* 5 (/ (pow c 4) (pow b 6))))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 3) (pow b 4))) (* -1 (/ (- (/ c a) (* -1 (/ (pow c 2) (pow b 2)))) a))) a)) (* 5 (/ (pow c 4) (pow b 6))))))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (/ (+ (* -5 (* (pow a 3) (pow c 4))) (* -2 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 6))>
#<alt (/ (+ (* -5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -2 (* (pow a 2) (pow c 3))) (* -1 (* a (* (pow b 2) (pow c 2))))))) (pow b 6))>
#<alt (/ (+ (* -5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (- (* -1 (* (pow b 2) c)) (* a (pow c 2))))))) (pow b 6))>
#<alt (* -1 c)>
#<alt (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)>
#<alt (- (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ c (/ (* a (pow c 2)) (pow b 2))))>
#<alt (- (+ (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))) (+ c (/ (* a (pow c 2)) (pow b 2))))>
#<alt (* -1 c)>
#<alt (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)>
#<alt (- (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ c (/ (* a (pow c 2)) (pow b 2))))>
#<alt (- (+ (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))) (+ c (/ (* a (pow c 2)) (pow b 2))))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -1 (/ c b))>
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -5 (/ (* (pow a 3) c) (pow b 7))) (* -2 (/ (pow a 2) (pow b 5))))))) (/ 1 b)))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))>
#<alt (* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c)))))>
#<alt (* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ a (* (pow b 3) (pow c 2)))))))>
#<alt (* (pow c 4) (- (+ (* -5 (/ (pow a 3) (pow b 7))) (+ (* -2 (/ (pow a 2) (* (pow b 5) c))) (* -1 (/ a (* (pow b 3) (pow c 2)))))) (/ 1 (* b (pow c 3)))))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))>
#<alt (* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -2 (/ (pow a 2) (* (pow b 5) c)))))>
#<alt (* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 2 (/ (pow a 2) (pow b 5))) (/ a (* (pow b 3) c))) c))))>
#<alt (* (pow c 4) (+ (* -5 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))) c)) (* 2 (/ (pow a 2) (pow b 5)))) c))))>
#<alt (* -1 (/ c b))>
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -5 (/ (* a (pow c 4)) (pow b 7))) (* -2 (/ (pow c 3) (pow b 5))))))))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))>
#<alt (* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (* -2 (/ (pow c 3) (* a (pow b 5))))))>
#<alt (* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))>
#<alt (* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 7))) (+ (* -2 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1 (/ c (* (pow a 3) b))) (* -1 (/ (pow c 2) (* (pow a 2) (pow b 3))))))))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))>
#<alt (* -1 (* (pow a 3) (+ (* 2 (/ (pow c 3) (* a (pow b 5)))) (* 5 (/ (pow c 4) (pow b 7))))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (pow c 2) (* a (pow b 3))))) a)) (* 5 (/ (pow c 4) (pow b 7))))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1 (/ (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))) a))) a)) (* 5 (/ (pow c 4) (pow b 7))))))>
#<alt (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 7)))>
#<alt (/ (+ (* -5 (* (pow a 3) (pow c 4))) (* -2 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7))>
#<alt (/ (+ (* -5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -2 (* (pow a 2) (pow c 3))) (* -1 (* a (* (pow b 2) (pow c 2))))))) (pow b 7))>
#<alt (/ (+ (* -5 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -2 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))))))) (pow b 7))>
#<alt (* -1 (/ c b))>
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))))) b)>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* 5 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (/ (* (pow a 2) (pow c 3)) (pow b 4))>
#<alt (/ (* (pow a 2) (pow c 3)) (pow b 4))>
#<alt (/ (* (pow a 2) (pow c 3)) (pow b 4))>
#<alt (/ (* (pow a 2) (pow c 3)) (pow b 4))>
#<alt (/ (* (pow a 2) (pow c 3)) (pow b 4))>
#<alt (/ (* (pow a 2) (pow c 3)) (pow b 4))>
#<alt (/ (* (pow a 2) (pow c 3)) (pow b 4))>
#<alt (/ (* (pow a 2) (pow c 3)) (pow b 4))>
#<alt (/ (* (pow a 2) (pow c 3)) (pow b 4))>
#<alt (/ (* (pow a 2) (pow c 3)) (pow b 4))>
#<alt (/ (* (pow a 2) (pow c 3)) (pow b 4))>
#<alt (/ (* (pow a 2) (pow c 3)) (pow b 4))>
#<alt (/ (* (pow a 2) (pow c 3)) (pow b 4))>
#<alt (/ (* (pow a 2) (pow c 3)) (pow b 4))>
#<alt (/ (* (pow a 2) (pow c 3)) (pow b 4))>
#<alt (/ (* (pow a 2) (pow c 3)) (pow b 4))>
#<alt (/ (* (pow a 2) (pow c 3)) (pow b 4))>
#<alt (/ (* (pow a 2) (pow c 3)) (pow b 4))>
#<alt (/ (* (pow a 2) (pow c 3)) (pow b 4))>
#<alt (/ (* (pow a 2) (pow c 3)) (pow b 4))>
#<alt (/ (* (pow a 2) (pow c 3)) (pow b 4))>
#<alt (/ (* (pow a 2) (pow c 3)) (pow b 4))>
#<alt (/ (* (pow a 2) (pow c 3)) (pow b 4))>
#<alt (/ (* (pow a 2) (pow c 3)) (pow b 4))>
#<alt (/ (* (pow a 2) (pow c 3)) (pow b 4))>
#<alt (/ (* (pow a 2) (pow c 3)) (pow b 4))>
#<alt (/ (* (pow a 2) (pow c 3)) (pow b 4))>
#<alt (/ (* (pow a 2) (pow c 3)) (pow b 4))>
#<alt (/ (* (pow a 2) (pow c 3)) (pow b 4))>
#<alt (/ (* (pow a 2) (pow c 3)) (pow b 4))>
#<alt (/ (* (pow a 2) (pow c 3)) (pow b 4))>
#<alt (/ (* (pow a 2) (pow c 3)) (pow b 4))>
#<alt (/ (* (pow a 2) (pow c 3)) (pow b 4))>
#<alt (/ (* (pow a 2) (pow c 3)) (pow b 4))>
#<alt (/ (* (pow a 2) (pow c 3)) (pow b 4))>
#<alt (/ (* (pow a 2) (pow c 3)) (pow b 4))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ c b))>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 b)>
#<alt (* -1 (/ c b))>
#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ c b))>
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)>
#<alt (* -1 (/ b a))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))>
#<alt (* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))>
#<alt (* -1 (/ c b))>
#<alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))>
#<alt (* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
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#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (/ -1/2 a)>
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#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (- (* 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)))>
#<alt (* 2 (/ (* a c) b))>
#<alt (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)>
#<alt (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)>
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#<alt (* 2 b)>
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#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
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#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* 2 (/ (* a c) b))>
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#<alt (* -1 (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4))))>
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#<alt (* 2 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* (sqrt (* a c)) (sqrt -4))>
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#<alt (+ (* (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)))))))))>
#<alt b>
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#<alt (* -1 b)>
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#<alt b>
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#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
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#<alt (* 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))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* -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)))))))>
#<alt (* -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))))))))>
#<alt b>
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#<alt (* 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))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* -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))))))))>
#<alt (* -1 (/ c b))>
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#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))>
#<alt (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))>
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#<alt (* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))>
#<alt (* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))))>
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#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))>
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#<alt (* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))>
#<alt (* -1 (/ (* a (pow c 2)) (pow b 3)))>
#<alt (/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3))>
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#<alt (* -1 (/ c b))>
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#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (/ c b)>
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#<alt (+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))>
#<alt (+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))>
#<alt (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))>
#<alt (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))))>
#<alt (* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))))>
#<alt (/ c b)>
#<alt (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))>
#<alt (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))>
#<alt (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))>
#<alt (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))>
#<alt (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))>
#<alt (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))>
#<alt (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))>
#<alt (/ (* a (pow c 2)) (pow b 3))>
#<alt (/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3))>
#<alt (/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3))>
#<alt (/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3))>
#<alt (/ c b)>
#<alt (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)>
#<alt (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)>
#<alt (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)>
#<alt (/ c b)>
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#<alt (* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -2 (/ (* a c) b))>
#<alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))>
#<alt (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))>
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#<alt (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))>
#<alt (+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* 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)))>
#<alt (* 2 b)>
#<alt (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* 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)))))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))>
#<alt (* -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))>
#<alt (* -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))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))>
#<alt (* 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)))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -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))))))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))>
#<alt (* 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)))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -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))))))>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (pow b 4)>
#<alt (* (pow a 4) (pow c 4))>
#<alt (* (pow a 4) (pow c 4))>
#<alt (* (pow a 4) (pow c 4))>
#<alt (* (pow a 4) (pow c 4))>
#<alt (* (pow a 4) (pow c 4))>
#<alt (* (pow a 4) (pow c 4))>
#<alt (* (pow a 4) (pow c 4))>
#<alt (* (pow a 4) (pow c 4))>
#<alt (* (pow a 4) (pow c 4))>
#<alt (* (pow a 4) (pow c 4))>
#<alt (* (pow a 4) (pow c 4))>
#<alt (* (pow a 4) (pow c 4))>
#<alt (* (pow a 4) (pow c 4))>
#<alt (* (pow a 4) (pow c 4))>
#<alt (* (pow a 4) (pow c 4))>
#<alt (* (pow a 4) (pow c 4))>
#<alt (* (pow a 4) (pow c 4))>
#<alt (* (pow a 4) (pow c 4))>
#<alt (* (pow a 4) (pow c 4))>
#<alt (* (pow a 4) (pow c 4))>
#<alt (* (pow a 4) (pow c 4))>
#<alt (* (pow a 4) (pow c 4))>
#<alt (* (pow a 4) (pow c 4))>
#<alt (* (pow a 4) (pow c 4))>
#<alt (* 20 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* 20 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* 20 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* 20 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* 20 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* 20 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* 20 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* 20 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* 20 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* 20 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* 20 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* 20 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* 20 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* 20 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* 20 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* 20 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* 20 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* 20 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* 20 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* 20 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* 20 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* 20 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* 20 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* 20 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* 20 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* 20 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* 20 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* 20 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* 20 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* 20 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* 20 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* 20 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* 20 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* 20 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* 20 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* 20 (/ (* (pow a 3) (pow c 4)) (pow b 6)))>
#<alt (* -4 (* a c))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* c (+ (* -4 a) (/ (pow b 2) c)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))>
#<alt (pow b 2)>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (+ (* -4 (* a c)) (pow b 2))>
#<alt (* -4 (* a c))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (/ (pow c 2) (pow b 3))>
#<alt (/ (pow c 2) (pow b 3))>
#<alt (/ (pow c 2) (pow b 3))>
#<alt (/ (pow c 2) (pow b 3))>
#<alt (/ (pow c 2) (pow b 3))>
#<alt (/ (pow c 2) (pow b 3))>
#<alt (/ (pow c 2) (pow b 3))>
#<alt (/ (pow c 2) (pow b 3))>
#<alt (/ (pow c 2) (pow b 3))>
#<alt (/ (pow c 2) (pow b 3))>
#<alt (/ (pow c 2) (pow b 3))>
#<alt (/ (pow c 2) (pow b 3))>
#<alt (/ (pow c 2) (pow b 3))>
#<alt (/ (pow c 2) (pow b 3))>
#<alt (/ (pow c 2) (pow b 3))>
#<alt (/ (pow c 2) (pow b 3))>
#<alt (/ (pow c 2) (pow b 3))>
#<alt (/ (pow c 2) (pow b 3))>
#<alt (/ (pow c 2) (pow b 3))>
#<alt (/ (pow c 2) (pow b 3))>
#<alt (/ (pow c 2) (pow b 3))>
#<alt (/ (pow c 2) (pow b 3))>
#<alt (/ (pow c 2) (pow b 3))>
#<alt (/ (pow c 2) (pow b 3))>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>
#<alt (pow b 3)>

Calls

177 calls:

Time	Variable		Point	Expression
5.0ms	a	@	0	(/ (* (* a -2) (+ (* a (/ (* c c) (* b (* b b)))) (/ c b))) (* 2 a))
3.0ms	b	@	0	(* -1/4 (* (* (pow a 4) (pow c 4)) (/ 20 (* a (pow b 6)))))
3.0ms	b	@	0	(* (- b (sqrt (+ (* b b) (* c (* a -4))))) (/ -1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))))
3.0ms	b	@	-inf	(- b (sqrt (+ (* b b) (* c (* a -4)))))
2.0ms	b	@	0	(+ (* -2 (/ (* c (* a (* a (* c c)))) (* (* b b) (* b b)))) (- (* -1/4 (* (* (pow a 4) (pow c 4)) (/ 20 (* a (pow b 6))))) (+ (* (* c c) (/ a (* b b))) c)))

rewrite556.0ms (4.1%)

Memory

-30.2MiB live, 947.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 076×	`accelerator-lowering-fma.f32`
5 076×	`accelerator-lowering-fma.f64`
4 926×	`/-lowering-/.f32`
4 926×	`/-lowering-/.f64`
4 526×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	388
1	326	315
2	2954	315
0	9247	299

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 912

Calls

Call 1

Inputs
(+ (* -2 (/ (* c (* a (* a (* c c)))) (* (* b b) (* b b)))) (- (* -1/4 (* (* (pow a 4) (pow c 4)) (/ 20 (* a (pow b 6))))) (+ (* (* c c) (/ a (* b b))) c)))
(* -1/4 (* (* (pow a 4) (pow c 4)) (/ 20 (* a (pow b 6)))))
(/ (+ (* -2 (/ (* c (* a (* a (* c c)))) (* (* b b) (* b b)))) (- (* -1/4 (* (* (pow a 4) (pow c 4)) (/ 20 (* a (pow b 6))))) (+ (* (* c c) (/ a (* b b))) c))) b)
(/ (* c (* a (* a (* c c)))) (* (* b b) (* b b)))
(/ c (neg b))
(neg b)
(* (/ -1/2 a) (- b (sqrt (+ (* b b) (* c (* a -4))))))
(/ -1/2 a)
(- b (sqrt (+ (* b b) (* c (* a -4)))))
(sqrt (+ (* b b) (* c (* a -4))))
(/ (* (* a -2) (+ (* a (/ (* c c) (* b (* b b)))) (/ c b))) (* 2 a))
(+ (* a (/ (* c c) (* b (* b b)))) (/ c b))
(* (* a -2) (+ (* a (/ (* c c) (* b (* b b)))) (/ c b)))
(* a -2)
(* (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* (- b (sqrt (+ (* b b) (* c (* a -4))))) (/ -1 (+ b (sqrt (+ (* b b) (* c (* a -4))))))))
(* (- b (sqrt (+ (* b b) (* c (* a -4))))) (/ -1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))))
(/ (* (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* (- b (sqrt (+ (* b b) (* c (* a -4))))) (/ -1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))))) (* 2 a))
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
(* (* b b) (* b b))
(* (pow a 4) (pow c 4))
(* (* (pow a 4) (pow c 4)) (/ 20 (* a (pow b 6))))
(+ (* b b) (* c (* a -4)))
(/ (* c c) (* b (* b b)))
(* b (* b b))

Outputs
(+.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (.f64 c (.f64 c a))) (.f64 b (.f64 b (.f64 b b)))) (-.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 c (.f64 c (.f64 c c))))) (.f64 (.f64 a (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1/20 binary64))) (fma.f64 c (.f64 c (/.f64 a (*.f64 b b))) c)))
(+.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 c (.f64 c (.f64 c c))))) (.f64 (.f64 a (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1/20 binary64))) (+.f64 (neg.f64 (fma.f64 c (.f64 c (/.f64 a (.f64 b b))) c)) (/.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (.f64 c (.f64 c a))) (.f64 b (.f64 b (*.f64 b b))))))
(+.f64 (-.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 c (.f64 c (.f64 c c))))) (.f64 (.f64 a (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1/20 binary64))) (fma.f64 c (.f64 c (/.f64 a (.f64 b b))) c)) (/.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (.f64 c (.f64 c a))) (.f64 b (.f64 b (*.f64 b b)))))
(+.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (.f64 c (.f64 c (.f64 c c))) #s(literal 20 binary64))) (.f64 a (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (/.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (.f64 c (.f64 c a))) (.f64 b (.f64 b (.f64 b b))))) (neg.f64 (fma.f64 c (.f64 c (/.f64 a (.f64 b b))) c)))
(-.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 c (.f64 c (.f64 c c))))) (.f64 (.f64 a (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1/20 binary64))) (-.f64 (fma.f64 c (.f64 c (/.f64 a (.f64 b b))) c) (/.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (.f64 c (.f64 c a))) (.f64 b (.f64 b (*.f64 b b))))))
(-.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (.f64 c (.f64 c (.f64 c c))) #s(literal 20 binary64))) (.f64 a (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (/.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (.f64 c (.f64 c a))) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 c (.f64 c (/.f64 a (.f64 b b))) c))
(-.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (.f64 c (.f64 c (.f64 c c))) #s(literal 20 binary64))) (.f64 a (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (.f64 (neg.f64 c) (.f64 c (/.f64 a (.f64 b b))))) (-.f64 c (/.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (.f64 c (.f64 c a))) (.f64 b (.f64 b (*.f64 b b))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (.f64 c (.f64 c a))) (.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (.f64 c (.f64 c a)))) (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 b b))))) (-.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (.f64 c (.f64 c a))) (.f64 b (.f64 b (.f64 b b)))) (-.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 c (.f64 c (.f64 c c))))) (.f64 (.f64 a (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1/20 binary64))) (fma.f64 c (.f64 c (/.f64 a (.f64 b b))) c)))) (/.f64 (pow.f64 (-.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 c (.f64 c (.f64 c c))))) (.f64 (.f64 a (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1/20 binary64))) (fma.f64 c (.f64 c (/.f64 a (.f64 b b))) c)) #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (.f64 c (.f64 c a))) (.f64 b (.f64 b (.f64 b b)))) (-.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 c (.f64 c (.f64 c c))))) (.f64 (.f64 a (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1/20 binary64))) (fma.f64 c (.f64 c (/.f64 a (*.f64 b b))) c)))))
(-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 a (.f64 (.f64 c (.f64 c a)) c)) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (.f64 c (.f64 c (.f64 c c))) #s(literal 20 binary64))) (.f64 a (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (.f64 (neg.f64 c) (.f64 c (/.f64 a (.f64 b b)))))) c)
(-.f64 (-.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (.f64 c (.f64 c (.f64 c c))) #s(literal 20 binary64))) (.f64 a (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (/.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (.f64 c (.f64 c a))) (.f64 b (.f64 b (.f64 b b))))) c) (/.f64 (.f64 c (.f64 c a)) (*.f64 b b)))
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(/.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 c (.f64 c (.f64 c c)))) #s(literal -20 binary64))) (neg.f64 (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (neg.f64 a))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 c (.f64 c (.f64 c c)))) #s(literal 1 binary64))) (neg.f64 (.f64 (.f64 a (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))))) #s(literal 1/20 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 c (.f64 c (.f64 c c)))) (/.f64 #s(literal 20 binary64) a))) (neg.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))))))
(/.f64 (neg.f64 (.f64 #s(literal -20 binary64) (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 c (.f64 c (.f64 c c)))))) (neg.f64 (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (neg.f64 a))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 c (.f64 c (.f64 c c)))))) (neg.f64 (.f64 (.f64 a (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))))) #s(literal 1/20 binary64))))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 20 binary64) a) (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 c (.f64 c (.f64 c c)))))) (neg.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))))))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (.f64 c (.f64 c (.f64 c c))) #s(literal 20 binary64))) a)) (neg.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))))))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (.f64 c (.f64 c (.f64 c c))) #s(literal 20 binary64))) (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b)))))) (neg.f64 a))
(pow.f64 (/.f64 (.f64 a (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (.f64 c (.f64 c (.f64 c c))) #s(literal 20 binary64)))) #s(literal -1 binary64))
(.f64 (.f64 (.f64 a a) (.f64 a a)) (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) #s(literal 20 binary64)) (.f64 a (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))))
(.f64 (.f64 c (.f64 c (.f64 c c))) (.f64 (.f64 (.f64 a a) (.f64 a a)) (/.f64 #s(literal 20 binary64) (.f64 a (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))))))
(.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 c (.f64 c (.f64 c c)))) (/.f64 #s(literal 20 binary64) (.f64 a (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))))
(.f64 #s(literal 20 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 c (.f64 c (*.f64 c c))))))
(.f64 (/.f64 #s(literal 20 binary64) (.f64 a (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 c (.f64 c (.f64 c c)))))
(.f64 (.f64 a a) (.f64 (.f64 a a) (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) #s(literal 20 binary64)) (.f64 a (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))))))
(.f64 (/.f64 (.f64 (.f64 c (.f64 c (.f64 c c))) #s(literal 20 binary64)) (.f64 a (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (.f64 (.f64 a a) (.f64 a a)))
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(.f64 (/.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 c (.f64 c (.f64 c c)))) (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))))) (/.f64 #s(literal 20 binary64) a))
(.f64 (.f64 (/.f64 #s(literal 20 binary64) (.f64 a (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (.f64 (.f64 a a) (.f64 a a))) (.f64 c (.f64 c (.f64 c c))))
(+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))
(+.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (*.f64 b b))
(exp.f64 (log.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
(exp.f64 (.f64 (log.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) #s(literal 1/2 binary64)))
(fabs.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))
(-.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 (.f64 (.f64 a (.f64 c (.f64 c a))) #s(literal 16 binary64)) (-.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))))
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(fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))
(fma.f64 a (.f64 #s(literal -4 binary64) c) (.f64 b b))
(fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))
(fma.f64 (neg.f64 b) (neg.f64 b) (.f64 c (.f64 a #s(literal -4 binary64))))
(fma.f64 #s(literal -4 binary64) (.f64 c a) (.f64 b b))
(fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))
(fma.f64 #s(literal 1 binary64) (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))
(fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))
(fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (-.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (.f64 b b)) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a))) #s(literal -64 binary64) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 c (.f64 c a))) #s(literal 16 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (-.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (.f64 b b)) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a))) #s(literal -64 binary64) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 c (.f64 c a))) #s(literal 16 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a))) #s(literal -64 binary64) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (-.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (.f64 b b)) (.f64 b (.f64 b (.f64 b b)))))
(/.f64 (fma.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a))) #s(literal -64 binary64) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (fma.f64 (.f64 a (.f64 c (.f64 c a))) #s(literal 16 binary64) (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 c (.f64 a #s(literal -4 binary64))))))))
(/.f64 (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 c (.f64 c a))) #s(literal 16 binary64))) (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a))) #s(literal -64 binary64) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (neg.f64 (fma.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (-.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (.f64 b b)) (.f64 b (.f64 b (.f64 b b))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a))) #s(literal -64 binary64) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (neg.f64 (fma.f64 (.f64 a (.f64 c (.f64 c a))) #s(literal 16 binary64) (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 c (.f64 a #s(literal -4 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 c (.f64 c a))) #s(literal 16 binary64)))) (neg.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 a (.f64 c (.f64 c a))) #s(literal 16 binary64)) (.f64 b (.f64 b (.f64 b b)))) (-.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (.f64 b b)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a))) #s(literal -64 binary64) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))))) (neg.f64 (neg.f64 (fma.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (-.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (.f64 b b)) (.f64 b (.f64 b (.f64 b b)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 c (.f64 c a))) #s(literal 16 binary64))))) (neg.f64 (neg.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 a (.f64 c (.f64 c a))) #s(literal 16 binary64)) (.f64 b (.f64 b (.f64 b b))))) (neg.f64 (-.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (.f64 b b))))
(pow.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) #s(literal 2 binary64))
(pow.f64 (.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (-.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (.f64 b b)) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a))) #s(literal -64 binary64) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 c (.f64 c a))) #s(literal 16 binary64)))) #s(literal -1 binary64))
(.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))
(.f64 (fma.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a))) #s(literal -64 binary64) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (-.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (.f64 b b)) (.f64 b (.f64 b (*.f64 b b))))))
(.f64 (neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
(.f64 (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 c (.f64 c a))) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))))
(.f64 (pow.f64 (fma.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a))) #s(literal -64 binary64) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (-.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (.f64 b b)) (.f64 b (.f64 b (*.f64 b b))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 c (.f64 c a))) #s(literal 16 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 b (.f64 b b)) (.f64 c c))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (.f64 (log.f64 c) #s(literal 2 binary64)) (.f64 (log.f64 b) #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 b (.f64 b b)))) (/.f64 (.f64 c c) (neg.f64 (.f64 b (*.f64 b b)))))
(neg.f64 (/.f64 (.f64 c c) (neg.f64 (.f64 b (*.f64 b b)))))
(/.f64 (.f64 c c) (.f64 b (*.f64 b b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 b (.f64 b b)) (*.f64 c c))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (.f64 b (.f64 b b)) (*.f64 c c)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 b b) (/.f64 (.f64 c c) b))))
(/.f64 (neg.f64 (.f64 c c)) (neg.f64 (.f64 b (*.f64 b b))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b (.f64 b b)) (*.f64 c c)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 b (.f64 b b)) (*.f64 c c)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (/.f64 (.f64 c c) b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 b (.f64 b b)) (*.f64 c c)))))
(/.f64 (/.f64 (.f64 c c) (.f64 b b)) b)
(/.f64 (/.f64 (.f64 c c) b) (.f64 b b))
(/.f64 (.f64 #s(literal 1 binary64) c) (.f64 (/.f64 b c) (*.f64 b b)))
(/.f64 (neg.f64 (neg.f64 (.f64 c c))) (.f64 b (*.f64 b b)))
(/.f64 (neg.f64 (/.f64 (.f64 c c) b)) (.f64 b (neg.f64 b)))
(/.f64 (neg.f64 (/.f64 (.f64 c c) (.f64 b b))) (neg.f64 b))
(/.f64 (.f64 (/.f64 c b) c) (.f64 b b))
(/.f64 (.f64 (.f64 c c) #s(literal 1 binary64)) (.f64 b (.f64 b b)))
(/.f64 (.f64 c (/.f64 c (.f64 b b))) b)
(/.f64 (.f64 (neg.f64 c) (/.f64 c (.f64 b b))) (neg.f64 b))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 c (.f64 b b))) (/.f64 b c))
(/.f64 (neg.f64 (.f64 (.f64 c c) #s(literal 1 binary64))) (neg.f64 (.f64 b (.f64 b b))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) c)) (neg.f64 (.f64 (/.f64 b c) (*.f64 b b))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 c c)))) (neg.f64 (.f64 b (*.f64 b b))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 c c) b))) (neg.f64 (.f64 b (neg.f64 b))))
(/.f64 (neg.f64 (.f64 (/.f64 c b) c)) (.f64 b (neg.f64 b)))
(/.f64 (neg.f64 (.f64 c (/.f64 c (.f64 b b)))) (neg.f64 b))
(/.f64 (neg.f64 (.f64 (neg.f64 c) (/.f64 c (.f64 b b)))) b)
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (/.f64 c (.f64 b b)))) (/.f64 b (neg.f64 c)))
(pow.f64 (/.f64 (.f64 b (.f64 b b)) (*.f64 c c)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 b (.f64 b b)) (*.f64 c c)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 b b) (/.f64 (.f64 c c) b)) #s(literal -1 binary64))
(.f64 c (/.f64 c (.f64 b (*.f64 b b))))
(.f64 c (.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 c (*.f64 b b))))
(.f64 (.f64 c c) (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))))
(.f64 (/.f64 c b) (/.f64 c (.f64 b b)))
(.f64 (neg.f64 (.f64 c c)) (/.f64 #s(literal -1 binary64) (.f64 b (.f64 b b))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 c c) (.f64 b (.f64 b b))))
(.f64 (/.f64 c (.f64 b b)) (/.f64 c b))
(.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 (.f64 b b) (*.f64 c c)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))) (.f64 c c))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 c c)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (*.f64 c c) b))
(.f64 (/.f64 (.f64 c c) b) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(.f64 (/.f64 c (.f64 b (*.f64 b b))) c)
(exp.f64 (*.f64 (log.f64 b) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 b b)) #s(literal 3/2 binary64)))
(neg.f64 (neg.f64 (.f64 b (.f64 b b))))
(pow.f64 b #s(literal 3 binary64))
(pow.f64 (*.f64 b b) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 b #s(literal 3/2 binary64)) #s(literal 2 binary64))
(.f64 b (.f64 b b))
(.f64 (.f64 b b) b)
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 b (*.f64 b b))))
(.f64 #s(literal 1 binary64) (.f64 b (*.f64 b b)))
(*.f64 (pow.f64 b #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3/2 binary64)))

simplify476.0ms (3.5%)

Memory

46.9MiB live, 1 178.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 906×	`-lowering-.f32`
7 906×	`-lowering-.f64`
7 776×	`accelerator-lowering-fma.f32`
7 776×	`accelerator-lowering-fma.f64`
5 316×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1321	13351
1	4349	12992
0	9198	12569

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 708

Calls

Call 1

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

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

eval372.0ms (2.8%)

Memory: -0.2MiB live, 983.0MiB allocated
Compiler: Compiled 103 039 to 6 106 computations (94.1% saved)

prune305.0ms (2.3%)

Memory

-37.1MiB live, 751.1MiB allocated

Pruning

44 alts after pruning (43 fresh and 1 done)

	Pruned	Kept	Total
New	2 141	35	2 176
Fresh	7	8	15
Picked	4	1	5
Done	0	0	0
Total	2 152	44	2 196

Accuracy

99.8%

Counts

2 196 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	16.5%	(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (.f64 (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
▶	97.5%	(/.f64 (fma.f64 (/.f64 (.f64 a (.f64 (.f64 c (.f64 c a)) c)) (.f64 b (.f64 b (.f64 b b)))) #s(literal -2 binary64) (-.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 c (.f64 c (.f64 c c))))) (.f64 (.f64 a (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1/20 binary64))) (fma.f64 c (.f64 c (/.f64 a (.f64 b b))) c))) b)
	96.4%	(/.f64 (fma.f64 (.f64 b b) (fma.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (.f64 c (.f64 c c)) (.f64 (.f64 b b) (neg.f64 (fma.f64 c (.f64 b b) (.f64 a (.f64 c c)))))) (.f64 #s(literal -5 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 4 binary64))))) (pow.f64 b #s(literal 7 binary64)))
	95.4%	(/.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c) (neg.f64 b))
	96.3%	(/.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c))))) (.f64 (.f64 b b) (.f64 b b))) (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (.f64 a (.f64 c c)) (.f64 b b)) (.f64 a c)))) b) (.f64 #s(literal 2 binary64) a))
	15.4%	(/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (.f64 b b)) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b))) (.f64 b (.f64 b b)))) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b))) (.f64 b b))) (.f64 #s(literal 2 binary64) a))
	95.0%	(/.f64 (/.f64 (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (.f64 a (.f64 c c)) (.f64 b b)) (.f64 a c))) b) (.f64 #s(literal 2 binary64) a))
	97.5%	(/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 a (.f64 (.f64 c (.f64 c a)) c)) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (.f64 c (.f64 c (.f64 c c))) #s(literal 20 binary64))) (.f64 a (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (.f64 (neg.f64 c) (.f64 c (/.f64 a (.f64 b b)))))) c) b)
	15.2%	(/.f64 (-.f64 (/.f64 (.f64 b b) (neg.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))) (/.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (neg.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))) (.f64 #s(literal 2 binary64) a))
	96.8%	(/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (/.f64 (.f64 c (.f64 c c)) (.f64 (.f64 b b) (.f64 b b)))) (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c)) b)
	15.1%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a))
	15.0%	(/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (*.f64 #s(literal -2 binary64) a))
	95.3%	(/.f64 (.f64 (fma.f64 c (.f64 (/.f64 c (.f64 b (.f64 b b))) a) (/.f64 c b)) (*.f64 a #s(literal -1 binary64))) a)
	95.1%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (fma.f64 a (/.f64 (.f64 c c) (.f64 b (.f64 b b))) (/.f64 c b))) (*.f64 #s(literal 2 binary64) a))
▶	15.4%	(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
	12.4%	(/.f64 (.f64 (-.f64 (/.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b)) (/.f64 (.f64 b b) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))) (.f64 #s(literal 2 binary64) a))
	15.2%	(/.f64 (.f64 (-.f64 (.f64 b (.f64 b b)) (.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #s(literal -1/2 binary64)) (.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))) a))
	15.4%	(/.f64 (.f64 (-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #s(literal -1/2 binary64)) (.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))) a))
	17.8%	(/.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b (.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))
	15.1%	(/.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) b)))) (*.f64 #s(literal 2 binary64) a))
▶	12.2%	(/.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b))))) (.f64 #s(literal 2 binary64) a))
	15.1%	(/.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))
	12.4%	(/.f64 (.f64 (.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (-.f64 (.f64 b (.f64 b b)) (.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))) (.f64 #s(literal 2 binary64) a))
	95.4%	(/.f64 (.f64 c (fma.f64 (neg.f64 a) (/.f64 c (.f64 b b)) #s(literal -1 binary64))) b)
	91.7%	(/.f64 (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
	95.0%	(/.f64 (neg.f64 (fma.f64 c (.f64 b b) (.f64 a (.f64 c c)))) (.f64 b (*.f64 b b)))
✓	92.1%	(/.f64 c (neg.f64 b))
	15.0%	(/.f64 #s(literal 1 binary64) (/.f64 a (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))))
	91.7%	(/.f64 #s(literal -1 binary64) (/.f64 b c))
	15.0%	(-.f64 (/.f64 (/.f64 (.f64 b (.f64 b b)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (.f64 #s(literal -2 binary64) a)) (/.f64 (/.f64 (.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (*.f64 #s(literal -2 binary64) a)))
	14.8%	(-.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64))))
	97.0%	(.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 a (.f64 (.f64 c (.f64 c a)) c)) (.f64 b (.f64 b (.f64 b b)))) (-.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 c (.f64 c (.f64 c c))))) (.f64 (.f64 a (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1/20 binary64))) (fma.f64 c (.f64 c (/.f64 a (*.f64 b b))) c))) (/.f64 #s(literal 1 binary64) b))
	15.4%	(.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) a) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #s(literal 2 binary64)))
	97.0%	(.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 a (.f64 (.f64 c (.f64 c a)) c)) (.f64 b (.f64 b (.f64 b b)))) (-.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 c (.f64 c (.f64 c c))))) (.f64 (.f64 a (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1/20 binary64))) (fma.f64 c (.f64 c (/.f64 a (*.f64 b b))) c)))) #s(literal -1 binary64)))
	95.1%	(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (fma.f64 c (.f64 (/.f64 c (.f64 b (.f64 b b))) a) (/.f64 c b)) (.f64 a #s(literal -1 binary64))))
	17.4%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (fma.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (.f64 b (.f64 b b))) (+.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (-.f64 (.f64 b b) (.f64 (neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))) b)))))
	15.4%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))
	91.6%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (*.f64 c a) #s(literal 2 binary64)) b))
	15.2%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (/.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))))
▶	91.7%	(*.f64 (/.f64 #s(literal -1 binary64) b) c)
	15.4%	(.f64 (-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (*.f64 a #s(literal 2 binary64))))
▶	95.0%	(.f64 (+.f64 (/.f64 (.f64 c c) (.f64 b (.f64 b b))) (/.f64 c (*.f64 a b))) (neg.f64 a))
	96.3%	(.f64 c (fma.f64 c (fma.f64 (.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (.f64 c #s(literal -2 binary64)) (/.f64 (neg.f64 a) (.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))
	95.4%	(neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b (*.f64 b b))) (/.f64 c b)))

Compiler

Compiled 3 305 to 1 495 computations (54.8% saved)

simplify315.0ms (2.3%)

Memory

10.8MiB live, 561.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)))))
✓	cost-diff	384	(/.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b))))) (.f64 #s(literal 2 binary64) a))
✓	cost-diff	704	(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)))
✓	cost-diff	896	(-.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (*.f64 b b))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))
✓	cost-diff	320	(.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
✓	cost-diff	384	(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
✓	cost-diff	896	(-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))
✓	cost-diff	0	(*.f64 c c)
✓	cost-diff	0	(/.f64 (.f64 c c) (.f64 b (*.f64 b b)))
✓	cost-diff	0	(.f64 (+.f64 (/.f64 (.f64 c c) (.f64 b (.f64 b b))) (/.f64 c (*.f64 a b))) (neg.f64 a))
✓	cost-diff	128	(+.f64 (/.f64 (.f64 c c) (.f64 b (.f64 b b))) (/.f64 c (.f64 a b)))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) b)
✓	cost-diff	192	(*.f64 (/.f64 #s(literal -1 binary64) b) c)
✓	cost-diff	0	(/.f64 (fma.f64 (/.f64 (.f64 a (.f64 (.f64 c (.f64 c a)) c)) (.f64 b (.f64 b (.f64 b b)))) #s(literal -2 binary64) (-.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 c (.f64 c (.f64 c c))))) (.f64 (.f64 a (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1/20 binary64))) (fma.f64 c (.f64 c (/.f64 a (.f64 b b))) c))) b)
✓	cost-diff	192	(-.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 c (.f64 c (.f64 c c))))) (.f64 (.f64 a (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1/20 binary64))) (fma.f64 c (.f64 c (/.f64 a (*.f64 b b))) c))
✓	cost-diff	640	(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 c (.f64 c (.f64 c c))))) (.f64 (.f64 a (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))))) #s(literal 1/20 binary64)))
✓	cost-diff	960	(fma.f64 (/.f64 (.f64 a (.f64 (.f64 c (.f64 c a)) c)) (.f64 b (.f64 b (.f64 b b)))) #s(literal -2 binary64) (-.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 c (.f64 c (.f64 c c))))) (.f64 (.f64 a (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1/20 binary64))) (fma.f64 c (.f64 c (/.f64 a (.f64 b b))) c)))

Rules

9 580×	`accelerator-lowering-fma.f32`
9 580×	`accelerator-lowering-fma.f64`
6 820×	`-lowering-.f32`
6 820×	`-lowering-.f64`
2 862×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	845
1	206	712
2	833	676
3	4249	668
0	8195	639

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (* (/ (* a (* (* c (* c a)) c)) (* b (* b (* b b)))) -2) (- (/ (* -1/4 (* (* (* a a) (* a a)) (* c (* c (* c c))))) (* (* a (* (* b b) (* b (* b (* b b))))) 1/20)) (+ (* c (* c (/ a (* b b)))) c))) b)
(+ (* (/ (* a (* (* c (* c a)) c)) (* b (* b (* b b)))) -2) (- (/ (* -1/4 (* (* (* a a) (* a a)) (* c (* c (* c c))))) (* (* a (* (* b b) (* b (* b (* b b))))) 1/20)) (+ (* c (* c (/ a (* b b)))) c)))
(/ (* a (* (* c (* c a)) c)) (* b (* b (* b b))))
(* a (* (* c (* c a)) c))
a
(* (* c (* c a)) c)
(* c (* c a))
c
(* c a)
(* b (* b (* b b)))
b
(* b (* b b))
(* b b)
-2
(- (/ (* -1/4 (* (* (* a a) (* a a)) (* c (* c (* c c))))) (* (* a (* (* b b) (* b (* b (* b b))))) 1/20)) (+ (* c (* c (/ a (* b b)))) c))
(/ (* -1/4 (* (* (* a a) (* a a)) (* c (* c (* c c))))) (* (* a (* (* b b) (* b (* b (* b b))))) 1/20))
(* -1/4 (* (* (* a a) (* a a)) (* c (* c (* c c)))))
-1/4
(* (* (* a a) (* a a)) (* c (* c (* c c))))
(* (* a a) (* a a))
(* a a)
(* c (* c (* c c)))
(* c (* c c))
(* c c)
(* (* a (* (* b b) (* b (* b (* b b))))) 1/20)
(* a (* (* b b) (* b (* b (* b b)))))
(* (* b b) (* b (* b (* b b))))
1/20
(+ (* c (* c (/ a (* b b)))) c)
(* c (/ a (* b b)))
(/ a (* b b))
(* (/ -1 b) c)
(/ -1 b)
-1
b
c
(* (+ (/ (* c c) (* b (* b b))) (/ c (* a b))) (neg a))
(+ (/ (* c c) (* b (* b b))) (/ c (* a b)))
(/ (* c c) (* b (* b b)))
(* c c)
c
(* b (* b b))
b
(* b b)
(/ c (* a b))
(* a b)
a
(neg a)
(/ (* (/ -1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (- (* b b) (+ (* c (* a -4)) (* b b)))) (* 2 a))
(* (/ -1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (- (* b b) (+ (* c (* a -4)) (* b b))))
(/ -1 (+ b (sqrt (+ (* c (* a -4)) (* b b)))))
-1
(+ b (sqrt (+ (* c (* a -4)) (* b b))))
b
(sqrt (+ (* c (* a -4)) (* b b)))
(+ (* c (* a -4)) (* b b))
c
(* a -4)
a
-4
(* b b)
(- (* b b) (+ (* c (* a -4)) (* b b)))
(* 2 a)
2
(/ (* (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* (- b (sqrt (+ (* b b) (* c (* a -4))))) (/ -1 (/ (- (+ (* c (* a -4)) (* b b)) (* b b)) (- (sqrt (+ (* c (* a -4)) (* b b))) b))))) (* 2 a))
(* (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* (- b (sqrt (+ (* b b) (* c (* a -4))))) (/ -1 (/ (- (+ (* c (* a -4)) (* b b)) (* b b)) (- (sqrt (+ (* c (* a -4)) (* b b))) b)))))
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
b
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* c (* a -4))
c
(* a -4)
a
-4
(* (- b (sqrt (+ (* b b) (* c (* a -4))))) (/ -1 (/ (- (+ (* c (* a -4)) (* b b)) (* b b)) (- (sqrt (+ (* c (* a -4)) (* b b))) b))))
(- b (sqrt (+ (* b b) (* c (* a -4)))))
(/ -1 (/ (- (+ (* c (* a -4)) (* b b)) (* b b)) (- (sqrt (+ (* c (* a -4)) (* b b))) b)))
-1
(/ (- (+ (* c (* a -4)) (* b b)) (* b b)) (- (sqrt (+ (* c (* a -4)) (* b b))) b))
(- (+ (* c (* a -4)) (* b b)) (* b b))
(+ (* c (* a -4)) (* b b))
(* b b)
(- (sqrt (+ (* c (* a -4)) (* b b))) b)
(sqrt (+ (* c (* a -4)) (* b b)))
(* 2 a)
2

Outputs
(/ (+ (* (/ (* a (* (* c (* c a)) c)) (* b (* b (* b b)))) -2) (- (/ (* -1/4 (* (* (* a a) (* a a)) (* c (* c (* c c))))) (* (* a (* (* b b) (* b (* b (* b b))))) 1/20)) (+ (* c (* c (/ a (* b b)))) c))) b)
(/.f64 (-.f64 (fma.f64 (.f64 (.f64 c (.f64 c c)) (.f64 c (.f64 (.f64 a a) (.f64 a #s(literal 1 binary64))))) (/.f64 #s(literal -5 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b b)) (+.f64 #s(literal -1 binary64) (.f64 (.f64 a #s(literal -2 binary64)) (/.f64 c (*.f64 b b)))))) c) b)
(+ (* (/ (* a (* (* c (* c a)) c)) (* b (* b (* b b)))) -2) (- (/ (* -1/4 (* (* (* a a) (* a a)) (* c (* c (* c c))))) (* (* a (* (* b b) (* b (* b (* b b))))) 1/20)) (+ (* c (* c (/ a (* b b)))) c)))
(-.f64 (fma.f64 (.f64 (.f64 c (.f64 c c)) (.f64 c (.f64 (.f64 a a) (.f64 a #s(literal 1 binary64))))) (/.f64 #s(literal -5 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)))) (.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b b)) (+.f64 #s(literal -1 binary64) (.f64 (.f64 a #s(literal -2 binary64)) (/.f64 c (*.f64 b b)))))) c)
(/ (* a (* (* c (* c a)) c)) (* b (* b (* b b))))
(/.f64 (.f64 a (.f64 a (.f64 c (.f64 c c)))) (.f64 b (.f64 b (*.f64 b b))))
(* a (* (* c (* c a)) c))
(.f64 a (.f64 a (.f64 c (.f64 c c))))
a
(* (* c (* c a)) c)
(.f64 a (.f64 c (*.f64 c c)))
(* c (* c a))
(.f64 a (.f64 c c))
c
(* c a)
(*.f64 a c)
(* b (* b (* b b)))
(.f64 b (.f64 b (*.f64 b b)))
b
(* b (* b b))
(.f64 b (.f64 b b))
(* b b)
(*.f64 b b)
-2
#s(literal -2 binary64)
(- (/ (* -1/4 (* (* (* a a) (* a a)) (* c (* c (* c c))))) (* (* a (* (* b b) (* b (* b (* b b))))) 1/20)) (+ (* c (* c (/ a (* b b)))) c))
(-.f64 (.f64 (.f64 c c) (fma.f64 (.f64 a (.f64 (.f64 a (.f64 a (.f64 a c))) c)) (/.f64 #s(literal -5 binary64) (.f64 a (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))))) (/.f64 a (.f64 b (neg.f64 b))))) c)
(/ (* -1/4 (* (* (* a a) (* a a)) (* c (* c (* c c))))) (* (* a (* (* b b) (* b (* b (* b b))))) 1/20))
(.f64 (.f64 (.f64 c (.f64 c c)) (.f64 c (.f64 (.f64 a a) (.f64 a #s(literal 1 binary64))))) (/.f64 #s(literal -5 binary64) (.f64 (.f64 b (.f64 b b)) (.f64 b (*.f64 b b)))))
(* -1/4 (* (* (* a a) (* a a)) (* c (* c (* c c)))))
(.f64 (.f64 a (.f64 a (.f64 c c))) (.f64 (.f64 a (.f64 a (.f64 c c))) #s(literal -1/4 binary64)))
-1/4
#s(literal -1/4 binary64)
(* (* (* a a) (* a a)) (* c (* c (* c c))))
(.f64 (.f64 a (.f64 c (.f64 c c))) (.f64 a (.f64 a (*.f64 a c))))
(* (* a a) (* a a))
(.f64 a (.f64 a (*.f64 a a)))
(* a a)
(*.f64 a a)
(* c (* c (* c c)))
(.f64 c (.f64 c (*.f64 c c)))
(* c (* c c))
(.f64 c (.f64 c c))
(* c c)
(*.f64 c c)
(* (* a (* (* b b) (* b (* b (* b b))))) 1/20)
(.f64 (.f64 b (.f64 b b)) (.f64 (.f64 a (.f64 b (*.f64 b b))) #s(literal 1/20 binary64)))
(* a (* (* b b) (* b (* b (* b b)))))
(.f64 a (.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b))))
(* (* b b) (* b (* b (* b b))))
(.f64 (.f64 b (.f64 b b)) (.f64 b (*.f64 b b)))
1/20
#s(literal 1/20 binary64)
(+ (* c (* c (/ a (* b b)))) c)
(fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c)
(* c (/ a (* b b)))
(.f64 c (/.f64 a (.f64 b b)))
(/ a (* b b))
(/.f64 a (*.f64 b b))
(* (/ -1 b) c)
(/.f64 c (neg.f64 b))
(/ -1 b)
(/.f64 #s(literal -1 binary64) b)
-1
#s(literal -1 binary64)
b
c
(* (+ (/ (* c c) (* b (* b b))) (/ c (* a b))) (neg a))
(.f64 (fma.f64 c (/.f64 c (.f64 b (.f64 b b))) (/.f64 c (.f64 a b))) (neg.f64 a))
(+ (/ (* c c) (* b (* b b))) (/ c (* a b)))
(fma.f64 c (/.f64 c (.f64 b (.f64 b b))) (/.f64 c (*.f64 a b)))
(/ (* c c) (* b (* b b)))
(.f64 c (/.f64 c (.f64 b (*.f64 b b))))
(* c c)
(*.f64 c c)
c
(* b (* b b))
(.f64 b (.f64 b b))
b
(* b b)
(*.f64 b b)
(/ c (* a b))
(/.f64 c (*.f64 a b))
(* a b)
(*.f64 a b)
a
(neg a)
(neg.f64 a)
(/ (* (/ -1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (- (* b b) (+ (* c (* a -4)) (* b b)))) (* 2 a))
(/.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))))
(* (/ -1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (- (* b b) (+ (* c (* a -4)) (* b b))))
(/.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (+.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))))
(/ -1 (+ b (sqrt (+ (* c (* a -4)) (* b b)))))
(/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))))
-1
#s(literal -1 binary64)
(+ b (sqrt (+ (* c (* a -4)) (* b b))))
(+.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))
b
(sqrt (+ (* c (* a -4)) (* b b)))
(sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))
(+ (* c (* a -4)) (* b b))
(fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))
c
(* a -4)
(*.f64 a #s(literal -4 binary64))
a
-4
#s(literal -4 binary64)
(* b b)
(*.f64 b b)
(- (* b b) (+ (* c (* a -4)) (* b b)))
(.f64 (.f64 a c) #s(literal 4 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (* (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* (- b (sqrt (+ (* b b) (* c (* a -4))))) (/ -1 (/ (- (+ (* c (* a -4)) (* b b)) (* b b)) (- (sqrt (+ (* c (* a -4)) (* b b))) b))))) (* 2 a))
(.f64 (+.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (.f64 (.f64 a #s(literal 2 binary64)) (.f64 a (.f64 c #s(literal -4 binary64)))))))
(* (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* (- b (sqrt (+ (* b b) (* c (* a -4))))) (/ -1 (/ (- (+ (* c (* a -4)) (* b b)) (* b b)) (- (sqrt (+ (* c (* a -4)) (* b b))) b)))))
(.f64 (+.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (.f64 a (.f64 c #s(literal -4 binary64))))))
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
(+.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))
b
(sqrt (+ (* b b) (* c (* a -4))))
(sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))
(+ (* b b) (* c (* a -4)))
(fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))
(* c (* a -4))
(.f64 a (.f64 c #s(literal -4 binary64)))
c
(* a -4)
(*.f64 a #s(literal -4 binary64))
a
-4
#s(literal -4 binary64)
(* (- b (sqrt (+ (* b b) (* c (* a -4))))) (/ -1 (/ (- (+ (* c (* a -4)) (* b b)) (* b b)) (- (sqrt (+ (* c (* a -4)) (* b b))) b))))
(.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (.f64 a (*.f64 c #s(literal -4 binary64)))))
(- b (sqrt (+ (* b b) (* c (* a -4)))))
(-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))))
(/ -1 (/ (- (+ (* c (* a -4)) (* b b)) (* b b)) (- (sqrt (+ (* c (* a -4)) (* b b))) b)))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))) (.f64 a (.f64 c #s(literal -4 binary64))))
-1
#s(literal -1 binary64)
(/ (- (+ (* c (* a -4)) (* b b)) (* b b)) (- (sqrt (+ (* c (* a -4)) (* b b))) b))
(/.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b))
(- (+ (* c (* a -4)) (* b b)) (* b b))
(.f64 a (.f64 c #s(literal -4 binary64)))
(+ (* c (* a -4)) (* b b))
(fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))
(* b b)
(*.f64 b b)
(- (sqrt (+ (* c (* a -4)) (* b b))) b)
(-.f64 (sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))) b)
(sqrt (+ (* c (* a -4)) (* b b)))
(sqrt.f64 (fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b)))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize322.0ms (2.4%)

Memory

2.0MiB live, 644.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b))))
✓	accuracy	15.3%	(-.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (*.f64 b b))
✓	accuracy	15.1%	(-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b)
✓	accuracy	15.1%	(-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))
✓	accuracy	99.9%	(fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))
✓	accuracy	99.6%	(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
✓	accuracy	99.4%	(.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
✓	accuracy	15.3%	(-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))
✓	accuracy	99.6%	(/.f64 c (*.f64 a b))
✓	accuracy	99.6%	(.f64 b (.f64 b b))
✓	accuracy	99.6%	(.f64 (+.f64 (/.f64 (.f64 c c) (.f64 b (.f64 b b))) (/.f64 c (*.f64 a b))) (neg.f64 a))
✓	accuracy	99.5%	(/.f64 (.f64 c c) (.f64 b (*.f64 b b)))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) b)
✓	accuracy	99.5%	(*.f64 (/.f64 #s(literal -1 binary64) b) c)
✓	accuracy	99.5%	(.f64 (.f64 a (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))))) #s(literal 1/20 binary64))
✓	accuracy	99.4%	(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 c (.f64 c (.f64 c c))))) (.f64 (.f64 a (.f64 (.f64 b b) (.f64 b (.f64 b (*.f64 b b))))) #s(literal 1/20 binary64)))
✓	accuracy	99.4%	(.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 c (.f64 c (*.f64 c c))))
✓	accuracy	99.3%	(.f64 (.f64 a a) (*.f64 a a))

Samples

178.0ms	212×	1	valid
21.0ms	44×	0	valid

Compiler

Compiled 879 to 67 computations (92.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

ival-mult: 55.0ms (38.5% of total)

ival-div: 31.0ms (21.7% of total)

adjust: 16.0ms (11.2% of total)

ival-add: 15.0ms (10.5% of total)

ival-sub: 10.0ms (7% of total)

ival-sqrt: 10.0ms (7% of total)

const: 4.0ms (2.8% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

series164.0ms (1.2%)

Memory

11.6MiB live, 211.9MiB allocated

Counts

27 → 828

Calls

Call 1

Inputs
#<alt (+ (* (/ (* a (* (* c (* c a)) c)) (* b (* b (* b b)))) -2) (- (/ (* -1/4 (* (* (* a a) (* a a)) (* c (* c (* c c))))) (* (* a (* (* b b) (* b (* b (* b b))))) 1/20)) (+ (* c (* c (/ a (* b b)))) c)))>
#<alt (/ (* -1/4 (* (* (* a a) (* a a)) (* c (* c (* c c))))) (* (* a (* (* b b) (* b (* b (* b b))))) 1/20))>
#<alt (- (/ (* -1/4 (* (* (* a a) (* a a)) (* c (* c (* c c))))) (* (* a (* (* b b) (* b (* b (* b b))))) 1/20)) (+ (* c (* c (/ a (* b b)))) c))>
#<alt (/ (+ (* (/ (* a (* (* c (* c a)) c)) (* b (* b (* b b)))) -2) (- (/ (* -1/4 (* (* (* a a) (* a a)) (* c (* c (* c c))))) (* (* a (* (* b b) (* b (* b (* b b))))) 1/20)) (+ (* c (* c (/ a (* b b)))) c))) b)>
#<alt (* (/ -1 b) c)>
#<alt (/ -1 b)>
#<alt (+ (/ (* c c) (* b (* b b))) (/ c (* a b)))>
#<alt (* (+ (/ (* c c) (* b (* b b))) (/ c (* a b))) (neg a))>
#<alt (/ (* c c) (* b (* b b)))>
#<alt (* c c)>
#<alt (- (* b b) (+ (* c (* a -4)) (* b b)))>
#<alt (/ (* (/ -1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (- (* b b) (+ (* c (* a -4)) (* b b)))) (* 2 a))>
#<alt (* (/ -1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (- (* b b) (+ (* c (* a -4)) (* b b))))>
#<alt (/ -1 (+ b (sqrt (+ (* c (* a -4)) (* b b)))))>
#<alt (- (+ (* c (* a -4)) (* b b)) (* b b))>
#<alt (/ -1 (/ (- (+ (* c (* a -4)) (* b b)) (* b b)) (- (sqrt (+ (* c (* a -4)) (* b b))) b)))>
#<alt (/ (* (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* (- b (sqrt (+ (* b b) (* c (* a -4))))) (/ -1 (/ (- (+ (* c (* a -4)) (* b b)) (* b b)) (- (sqrt (+ (* c (* a -4)) (* b b))) b))))) (* 2 a))>
#<alt (* (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* (- b (sqrt (+ (* b b) (* c (* a -4))))) (/ -1 (/ (- (+ (* c (* a -4)) (* b b)) (* b b)) (- (sqrt (+ (* c (* a -4)) (* b b))) b)))))>
#<alt (* (* a a) (* a a))>
#<alt (* (* (* a a) (* a a)) (* c (* c (* c c))))>
#<alt (* (* a (* (* b b) (* b (* b (* b b))))) 1/20)>
#<alt (* b (* b b))>
#<alt (/ c (* a b))>
#<alt (+ (* c (* a -4)) (* b b))>
#<alt (- b (sqrt (+ (* b b) (* c (* a -4)))))>
#<alt (- (sqrt (+ (* c (* a -4)) (* b b))) b)>
#<alt (* (- b (sqrt (+ (* b b) (* c (* a -4))))) (/ -1 (/ (- (+ (* c (* a -4)) (* b b)) (* b b)) (- (sqrt (+ (* c (* a -4)) (* b b))) b))))>

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

Calls

207 calls:

Time	Variable		Point	Expression
30.0ms	b	@	-inf	(* (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* (- b (sqrt (+ (* b b) (* c (* a -4))))) (/ -1 (/ (- (+ (* c (* a -4)) (* b b)) (* b b)) (- (sqrt (+ (* c (* a -4)) (* b b))) b)))))
12.0ms	c	@	inf	(* (/ -1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (- (* b b) (+ (* c (* a -4)) (* b b))))
4.0ms	a	@	-inf	(* (/ -1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (- (* b b) (+ (* c (* a -4)) (* b b))))
4.0ms	b	@	-inf	(/ (* (/ -1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (- (* b b) (+ (* c (* a -4)) (* b b)))) (* 2 a))
3.0ms	b	@	0	(/ (* (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* (- b (sqrt (+ (* b b) (* c (* a -4))))) (/ -1 (/ (- (+ (* c (* a -4)) (* b b)) (* b b)) (- (sqrt (+ (* c (* a -4)) (* b b))) b))))) (* 2 a))

rewrite527.0ms (3.9%)

Memory

5.5MiB live, 594.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 830×	`-lowering-.f32`
4 830×	`-lowering-.f64`
3 960×	`accelerator-lowering-fma.f32`
3 960×	`accelerator-lowering-fma.f64`
3 388×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	504
1	423	358
2	4431	345
0	8108	327

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 952

Calls

Call 1

Inputs
(+ (* (/ (* a (* (* c (* c a)) c)) (* b (* b (* b b)))) -2) (- (/ (* -1/4 (* (* (* a a) (* a a)) (* c (* c (* c c))))) (* (* a (* (* b b) (* b (* b (* b b))))) 1/20)) (+ (* c (* c (/ a (* b b)))) c)))
(/ (* -1/4 (* (* (* a a) (* a a)) (* c (* c (* c c))))) (* (* a (* (* b b) (* b (* b (* b b))))) 1/20))
(- (/ (* -1/4 (* (* (* a a) (* a a)) (* c (* c (* c c))))) (* (* a (* (* b b) (* b (* b (* b b))))) 1/20)) (+ (* c (* c (/ a (* b b)))) c))
(/ (+ (* (/ (* a (* (* c (* c a)) c)) (* b (* b (* b b)))) -2) (- (/ (* -1/4 (* (* (* a a) (* a a)) (* c (* c (* c c))))) (* (* a (* (* b b) (* b (* b (* b b))))) 1/20)) (+ (* c (* c (/ a (* b b)))) c))) b)
(* (/ -1 b) c)
(/ -1 b)
(+ (/ (* c c) (* b (* b b))) (/ c (* a b)))
(* (+ (/ (* c c) (* b (* b b))) (/ c (* a b))) (neg a))
(/ (* c c) (* b (* b b)))
(* c c)
(- (* b b) (+ (* c (* a -4)) (* b b)))
(/ (* (/ -1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (- (* b b) (+ (* c (* a -4)) (* b b)))) (* 2 a))
(* (/ -1 (+ b (sqrt (+ (* c (* a -4)) (* b b))))) (- (* b b) (+ (* c (* a -4)) (* b b))))
(/ -1 (+ b (sqrt (+ (* c (* a -4)) (* b b)))))
(- (+ (* c (* a -4)) (* b b)) (* b b))
(/ -1 (/ (- (+ (* c (* a -4)) (* b b)) (* b b)) (- (sqrt (+ (* c (* a -4)) (* b b))) b)))
(/ (* (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* (- b (sqrt (+ (* b b) (* c (* a -4))))) (/ -1 (/ (- (+ (* c (* a -4)) (* b b)) (* b b)) (- (sqrt (+ (* c (* a -4)) (* b b))) b))))) (* 2 a))
(* (+ b (sqrt (+ (* b b) (* c (* a -4))))) (* (- b (sqrt (+ (* b b) (* c (* a -4))))) (/ -1 (/ (- (+ (* c (* a -4)) (* b b)) (* b b)) (- (sqrt (+ (* c (* a -4)) (* b b))) b)))))
(* (* a a) (* a a))
(* (* (* a a) (* a a)) (* c (* c (* c c))))
(* (* a (* (* b b) (* b (* b (* b b))))) 1/20)
(* b (* b b))
(/ c (* a b))
(+ (* c (* a -4)) (* b b))
(- b (sqrt (+ (* b b) (* c (* a -4)))))
(- (sqrt (+ (* c (* a -4)) (* b b))) b)
(* (- b (sqrt (+ (* b b) (* c (* a -4))))) (/ -1 (/ (- (+ (* c (* a -4)) (* b b)) (* b b)) (- (sqrt (+ (* c (* a -4)) (* b b))) b))))

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

simplify479.0ms (3.6%)

Memory

2.8MiB live, 926.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6 574×	`-lowering-.f32`
6 574×	`-lowering-.f64`
4 998×	`accelerator-lowering-fma.f32`
4 998×	`accelerator-lowering-fma.f64`
4 170×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2271	16356
1	6559	15760
0	8161	15280

Stop Event

1×	iter limit
1×	node limit

Counts

828 → 828

Calls

Call 1

Inputs
(* -1 c)
(- (* -1 (/ (* a (pow c 2)) (pow b 2))) c)
(- (* a (- (* -2 (/ (* a (pow c 3)) (pow b 4))) (/ (pow c 2) (pow b 2)))) c)
(- (* a (- (* a (+ (* -5 (/ (* a (pow c 4)) (pow b 6))) (* -2 (/ (pow c 3) (pow b 4))))) (/ (pow c 2) (pow b 2)))) c)
(* -5 (/ (* (pow a 3) (pow c 4)) (pow b 6)))
(* (pow a 3) (+ (* -5 (/ (pow c 4) (pow b 6))) (* -2 (/ (pow c 3) (* a (pow b 4))))))
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(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 b)))
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* -2 (/ b (* a (pow (sqrt -4) 2)))))
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7)))))))))))
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))))) a)
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4))))) (pow a 3))) (* 2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))))) a)
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a))) a))
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(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) 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)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* 4 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (+ (* 4 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a c))) (* (pow a 3) (pow c 3)))) (pow b 6))) (* 4 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* 4 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7))))))))))))
(* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
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(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (+ (* 4 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4))))) (pow c 3))) (* 4 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 b) (* 2 (* (sqrt (* a c)) (sqrt -1))))
(+ (* -1 (/ (+ (* 4 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* b c)) c)) (* 2 (* (sqrt (* a c)) (sqrt -1))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) (* 4 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) (pow c 2)) a))) c))) c)) (* b c)) c)) (* 2 (* (sqrt (* a c)) (sqrt -1))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* 4 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7))))))))))))
(* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4))))
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2))))
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (* 4 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (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))) (+ (* 4 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4))))) (pow a 3))) (* 4 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(+ (* -1 b) (* 2 (* (sqrt (* a c)) (sqrt -1))))
(+ (* -1 (/ (+ (* 4 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* a b)) a)) (* 2 (* (sqrt (* a c)) (sqrt -1))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 4 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow a 2) (pow b 3)) c))) a))) a)) (* a b)) a)) (* 2 (* (sqrt (* a c)) (sqrt -1))))
(* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (/ b (* a (* c (pow (sqrt -4) 2)))))
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (+ (* -1 (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))))
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4)))) (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4)))))))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))))
(/ -1/2 b)
(/ (- (* -1/2 (/ (* a c) (pow b 2))) 1/2) b)
(/ (- (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 1/2 (* 1/2 (/ (* a c) (pow b 2))))) b)
(/ (- (* -1 (/ (+ (* 1/2 (* (pow a 3) (pow c 3))) (* 2 (* (pow a 3) (pow c 3)))) (pow b 6))) (+ 1/2 (+ (* 1/2 (/ (* a c) (pow b 2))) (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b)
(* -1/2 (/ b (* a c)))
(* -1 (* b (- (* 1/2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))))
(* -1 (* b (- (+ (* -1 (/ (+ (* -1/2 (* a c)) (* a c)) (pow b 4))) (* 1/2 (/ 1 (* a c)))) (* 1/2 (/ 1 (pow b 2))))))
(* -1 (* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a c)) (* a c))))) (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))))) (pow b 6))) (* 1/2 (/ 1 (* a c)))) (+ (* -1/2 (/ (* a c) (pow b 4))) (+ (* 1/2 (/ 1 (pow b 2))) (/ (* a c) (pow b 4)))))))
(/ -1/2 b)
(- (* -1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))
(- (* c (- (* -1 (/ (* (pow a 2) c) (pow b 5))) (* 1/2 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))
(- (* c (- (* c (- (* -1 (* c (+ (* 1/2 (/ (pow a 3) (pow b 7))) (* 2 (/ (pow a 3) (pow b 7)))))) (/ (pow a 2) (pow b 5)))) (* 1/2 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))
(* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(/ (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (/ b (* a (pow (sqrt -4) 2)))) c)
(/ (- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2)))) (* -1 (/ b (* a (pow (sqrt -4) 2))))) c)
(/ (- (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (* 1/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4))))) (pow c 3)))) (+ (* -1 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))) c)
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -1))) (* 1/4 (/ b a))) c))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* b c) a))) c)) (* -1/2 (* (sqrt (/ c a)) (sqrt -1)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))))) (* 1/32 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/4 (/ (* b c) a))) c)) (* -1/2 (* (sqrt (/ c a)) (sqrt -1)))) c))
(/ -1/2 b)
(- (* -1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))
(- (* a (- (* -1 (/ (* a (pow c 2)) (pow b 5))) (* 1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b)))
(- (* a (- (* a (- (* -1 (* a (+ (* 1/2 (/ (pow c 3) (pow b 7))) (* 2 (/ (pow c 3) (pow b 7)))))) (/ (pow c 2) (pow b 5)))) (* 1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b)))
(* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(/ (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (/ b (* c (pow (sqrt -4) 2)))) a)
(/ (- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) a)
(/ (- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4))))) (pow a 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) a)
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* 1/4 (/ b c))) a))
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))))))) (* 1/32 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(/ -1/2 b)
(- (* -1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))
(- (* c (+ (* -1 (/ (* (pow a 2) c) (pow b 5))) (* -1/2 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))
(- (* c (+ (* -1/2 (/ a (pow b 3))) (* c (+ (* -1 (/ (pow a 2) (pow b 5))) (* -1/8 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))
(* 1/4 (* (sqrt (/ 1 (* a c))) (sqrt -4)))
(+ (* -1/4 (/ b (* a c))) (* 1/4 (* (sqrt (/ 1 (* a c))) (sqrt -4))))
(+ (* -1/4 (/ b (* a c))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/4 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(+ (* -1/4 (/ b (* a c))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/4 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/4 (/ b (* a c))))
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ b a))) c)) (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/256 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* 1/4 (/ b a))) c)) (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(/ -1/2 b)
(- (* -1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))
(- (* a (+ (* -1 (/ (* a (pow c 2)) (pow b 5))) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b)))
(- (* a (+ (* -1/2 (/ c (pow b 3))) (* a (+ (* -1 (/ (pow c 2) (pow b 5))) (* -1/8 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (* b c))))))) (* 1/2 (/ 1 b)))
(* 1/4 (* (sqrt (/ 1 (* a c))) (sqrt -4)))
(+ (* -1/4 (/ b (* a c))) (* 1/4 (* (sqrt (/ 1 (* a c))) (sqrt -4))))
(+ (* -1/4 (/ b (* a c))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/4 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(+ (* -1/4 (/ b (* a c))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/4 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/4 (/ b (* a c))))
(+ (* -1 (/ (+ (* 1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ b c))) a)) (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/256 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/4 (/ b c))) a)) (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))
(* 1/4 (* (sqrt (/ 1 (* a c))) (sqrt -4)))
(+ (* -1/4 (/ b (* a c))) (* 1/4 (* (sqrt (/ 1 (* a c))) (sqrt -4))))
(+ (* 1/4 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ b (sqrt -4)))) (* 1/4 (/ 1 (* a c))))))
(+ (* 1/4 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* b (- (* b (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -4)))))) (* 1/4 (/ 1 (* a c))))))
(/ -1/2 b)
(/ (- (* -1/2 (/ (* a c) (pow b 2))) 1/2) b)
(/ (- (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2)))) 1/2) b)
(/ (- (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (* (pow b 6) c)))))) 1/2) b)
(* -1/2 (/ b (* a c)))
(* -1 (* b (- (* 1/2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))))
(* -1 (* b (- (+ (* -1/2 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (* a c)))) (* 1/2 (/ 1 (pow b 2))))))
(* -1 (* b (- (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (* a c))))) (* 1/2 (/ 1 (pow b 2))))))
(* -1/8 (* (sqrt (/ c a)) (pow (sqrt -4) 3)))
(+ (* -1/8 (* (sqrt (/ c a)) (pow (sqrt -4) 3))) (* 1/8 (* b (+ (* -1 (/ (pow (sqrt -4) 2) a)) (* 2 (/ (pow (sqrt -4) 2) a))))))
(+ (* -1/8 (* (sqrt (/ c a)) (pow (sqrt -4) 3))) (* b (+ (* 1/8 (* b (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -4))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -4))))))) (* 1/8 (+ (* -1 (/ (pow (sqrt -4) 2) a)) (* 2 (/ (pow (sqrt -4) 2) a)))))))
(+ (* -1/8 (* (sqrt (/ c a)) (pow (sqrt -4) 3))) (* b (+ (* 1/8 (+ (* -1 (/ (pow (sqrt -4) 2) a)) (* 2 (/ (pow (sqrt -4) 2) a)))) (* b (+ (* 1/8 (* (pow b 2) (+ (* -1 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (sqrt -4)))) (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (sqrt -4))))))) (* 1/8 (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -4))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -4)))))))))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* 1/8 (/ (+ (* -16 (* a (pow c 2))) (* 8 (* a (pow c 2)))) (pow b 2)))) b)
(/ (+ (* -1 c) (+ (* 1/8 (/ (+ (* -16 (* a (pow c 2))) (* 8 (* a (pow c 2)))) (pow b 2))) (* 1/8 (/ (+ (* 2 (/ (+ (* -16 (* (pow a 4) (pow c 4))) (* -4 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (+ (* 8 (* (pow a 2) (pow c 3))) (* 16 (* (pow a 2) (pow c 3))))) (pow b 4))))) b)
(/ (+ (* -1 c) (+ (* 1/8 (/ (+ (* -16 (* a (pow c 2))) (* 8 (* a (pow c 2)))) (pow b 2))) (+ (* 1/8 (/ (+ (* -2 (/ (+ (* -16 (* (pow a 4) (pow c 4))) (* -4 (* (pow a 4) (pow c 4)))) a)) (+ (* 2 (/ (+ (* -16 (* (pow a 5) (pow c 5))) (* -2 (* a (* c (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))))))) (* (pow a 2) c))) (* 32 (* (pow a 3) (pow c 4))))) (pow b 6))) (* 1/8 (/ (+ (* 2 (/ (+ (* -16 (* (pow a 4) (pow c 4))) (* -4 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (+ (* 8 (* (pow a 2) (pow c 3))) (* 16 (* (pow a 2) (pow c 3))))) (pow b 4)))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1/8 (/ (+ (* -8 c) (* 16 c)) (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1/8 (/ (+ (* -16 (* a (pow c 2))) (+ (* -2 (/ (+ (* -8 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) a)) (* 16 (* a (pow c 2))))) (pow b 4))) (+ (* -1/8 (/ (+ (* -8 c) (* 16 c)) (pow b 2))) (/ 1 a)))))
(* -1 (* b (+ (* -1/8 (/ (+ (* -16 (* a (pow c 2))) (+ (* -2 (/ (+ (* -8 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) a)) (* 16 (* a (pow c 2))))) (pow b 4))) (+ (* -1/8 (/ (+ (* -8 c) (* 16 c)) (pow b 2))) (+ (* -1/8 (/ (+ (* -2 (* c (+ (* -8 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))) (+ (* -2 (/ (+ (* -16 (* (pow a 3) (pow c 3))) (* 8 (* (pow a 3) (pow c 3)))) a)) (+ (* -2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* 32 (* (pow a 2) (pow c 3)))))) (pow b 6))) (/ 1 a))))))
(* -1 (/ c b))
(* c (- (* 1/8 (* c (+ (* -16 (/ a (pow b 3))) (* 8 (/ a (pow b 3)))))) (/ 1 b)))
(* c (- (* c (+ (* 1/8 (* c (+ (* 2 (/ (* b (+ (* -16 (/ (pow a 4) (pow b 6))) (* -4 (/ (pow a 4) (pow b 6))))) (pow a 2))) (+ (* 8 (/ (pow a 2) (pow b 5))) (* 16 (/ (pow a 2) (pow b 5))))))) (* 1/8 (+ (* -16 (/ a (pow b 3))) (* 8 (/ a (pow b 3))))))) (/ 1 b)))
(* c (- (* c (+ (* 1/8 (+ (* -16 (/ a (pow b 3))) (* 8 (/ a (pow b 3))))) (* c (+ (* 1/8 (* c (+ (* -2 (/ (+ (* -16 (/ (pow a 4) (pow b 6))) (* -4 (/ (pow a 4) (pow b 6)))) (* a b))) (+ (* 2 (/ (* b (+ (* -16 (/ (pow a 5) (pow b 8))) (* -2 (/ (* a (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow b 2))))) (pow a 2))) (* 32 (/ (pow a 3) (pow b 7))))))) (* 1/8 (+ (* 2 (/ (* b (+ (* -16 (/ (pow a 4) (pow b 6))) (* -4 (/ (pow a 4) (pow b 6))))) (pow a 2))) (+ (* 8 (/ (pow a 2) (pow b 5))) (* 16 (/ (pow a 2) (pow b 5)))))))))) (/ 1 b)))
(* -1/8 (* (sqrt (/ c a)) (pow (sqrt -4) 3)))
(* (pow c 2) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (pow (sqrt -4) 3))) (* 1/8 (/ (+ (* -1 (/ (* b (pow (sqrt -4) 2)) (* a c))) (* 2 (/ (* b (pow (sqrt -4) 2)) (* a c)))) c))))
(* (pow c 2) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (pow (sqrt -4) 3))) (+ (* 1/8 (/ (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -4)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -4)))))) (pow c 2))) (* 1/8 (/ (+ (* -1 (/ (* b (pow (sqrt -4) 2)) (* a c))) (* 2 (/ (* b (pow (sqrt -4) 2)) (* a c)))) c)))))
(* (pow c 2) (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (pow (sqrt -4) 3))) (+ (* 1/8 (/ (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -4)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -4)))))) (pow c 2))) (+ (* 1/8 (/ (+ (* -2 (/ (pow b 3) (pow a 2))) (* 2 (/ (pow b 3) (pow a 2)))) (pow c 3))) (* 1/8 (/ (+ (* -1 (/ (* b (pow (sqrt -4) 2)) (* a c))) (* 2 (/ (* b (pow (sqrt -4) 2)) (* a c)))) c))))))
(* (sqrt (/ c a)) (sqrt -1))
(* (pow c 2) (+ (* 1/8 (/ (+ (* -8 (/ b (* a c))) (* 4 (/ b (* a c)))) c)) (* (sqrt (/ 1 (* a (pow c 3)))) (sqrt -1))))
(* (pow c 2) (+ (* -1 (/ (+ (* -1/8 (+ (* -8 (/ b (* a c))) (* 4 (/ b (* a c))))) (* 1/8 (/ (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))))) c))) c)) (* (sqrt (/ 1 (* a (pow c 3)))) (sqrt -1))))
(* (pow c 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (+ (* -4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))))) (* 1/8 (/ (+ (* -2 (/ (pow b 3) (pow a 2))) (* 2 (/ (pow b 3) (pow a 2)))) c))) c)) (* -1/8 (+ (* -8 (/ b (* a c))) (* 4 (/ b (* a c)))))) c)) (* (sqrt (/ 1 (* a (pow c 3)))) (sqrt -1))))
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* 1/8 (* a (+ (* -16 (/ (pow c 2) (pow b 3))) (* 8 (/ (pow c 2) (pow b 3)))))))
(+ (* -1 (/ c b)) (* a (+ (* 1/8 (* a (+ (* 2 (/ (* b (+ (* -16 (/ (pow c 4) (pow b 6))) (* -4 (/ (pow c 4) (pow b 6))))) c)) (+ (* 8 (/ (pow c 3) (pow b 5))) (* 16 (/ (pow c 3) (pow b 5))))))) (* 1/8 (+ (* -16 (/ (pow c 2) (pow b 3))) (* 8 (/ (pow c 2) (pow b 3))))))))
(+ (* -1 (/ c b)) (* a (+ (* 1/8 (+ (* -16 (/ (pow c 2) (pow b 3))) (* 8 (/ (pow c 2) (pow b 3))))) (* a (+ (* 1/8 (* a (+ (* -2 (/ (+ (* -16 (/ (pow c 4) (pow b 6))) (* -4 (/ (pow c 4) (pow b 6)))) b)) (+ (* 2 (/ (* b (+ (* -16 (/ (pow c 5) (pow b 8))) (* -2 (/ (* c (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow b 2))))) c)) (* 32 (/ (pow c 4) (pow b 7))))))) (* 1/8 (+ (* 2 (/ (* b (+ (* -16 (/ (pow c 4) (pow b 6))) (* -4 (/ (pow c 4) (pow b 6))))) c)) (+ (* 8 (/ (pow c 3) (pow b 5))) (* 16 (/ (pow c 3) (pow b 5)))))))))))
(* -1/8 (* (sqrt (/ c a)) (pow (sqrt -4) 3)))
(* a (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (pow (sqrt -4) 3))) (* 1/8 (/ (+ (* -1 (/ (* b (pow (sqrt -4) 2)) a)) (* 2 (/ (* b (pow (sqrt -4) 2)) a))) a))))
(* a (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (pow (sqrt -4) 3))) (+ (* 1/8 (/ (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -4)))) (* 2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -4)))))) (pow a 2))) (* 1/8 (/ (+ (* -1 (/ (* b (pow (sqrt -4) 2)) a)) (* 2 (/ (* b (pow (sqrt -4) 2)) a))) a)))))
(* a (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (pow (sqrt -4) 3))) (+ (* 1/8 (/ (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -4)))) (* 2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -4)))))) (pow a 2))) (+ (* 1/8 (/ (+ (* -2 (/ (pow b 3) c)) (* 2 (/ (pow b 3) c))) (pow a 3))) (* 1/8 (/ (+ (* -1 (/ (* b (pow (sqrt -4) 2)) a)) (* 2 (/ (* b (pow (sqrt -4) 2)) a))) a))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* a (+ (* -1 (* (sqrt (/ c (pow a 3))) (sqrt -1))) (* -1/8 (/ (+ (* -8 (/ b a)) (* 4 (/ b a))) a)))))
(* -1 (* a (+ (* -1 (* (sqrt (/ c (pow a 3))) (sqrt -1))) (* -1 (/ (+ (* -1/8 (/ (+ (* -4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/8 (+ (* -8 (/ b a)) (* 4 (/ b a))))) a)))))
(* -1 (* a (+ (* -1 (* (sqrt (/ c (pow a 3))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (+ (* -2 (/ (pow b 3) c)) (* 2 (/ (pow b 3) c))) a)) (* 1/8 (+ (* -4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))))))) a)) (* 1/8 (+ (* -8 (/ b a)) (* 4 (/ b a))))) a)))))
(* -1/4 (* (sqrt (* a c)) (pow (sqrt -4) 3)))
(+ (* -1/4 (* (sqrt (* a c)) (pow (sqrt -4) 3))) (* 1/4 (* b (+ (* -1 (pow (sqrt -4) 2)) (* 2 (pow (sqrt -4) 2))))))
(+ (* -1/4 (* (sqrt (* a c)) (pow (sqrt -4) 3))) (* b (+ (* 1/4 (* b (+ (* -2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) (* 1/4 (+ (* -1 (pow (sqrt -4) 2)) (* 2 (pow (sqrt -4) 2)))))))
(+ (* -1/4 (* (sqrt (* a c)) (pow (sqrt -4) 3))) (* b (+ (* 1/4 (+ (* -1 (pow (sqrt -4) 2)) (* 2 (pow (sqrt -4) 2)))) (* b (+ (* 1/4 (* (pow b 2) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -4)))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -4))))))) (* 1/4 (+ (* -2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))))))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* 1/4 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 8 (* (pow a 2) (pow c 2)))) (pow b 2)))) b)
(/ (+ (* -2 (* a c)) (+ (* 1/4 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 8 (* (pow a 2) (pow c 2)))) (pow b 2))) (* 1/4 (/ (+ (* 2 (/ (+ (* -16 (* (pow a 4) (pow c 4))) (* -4 (* (pow a 4) (pow c 4)))) (* a c))) (+ (* 8 (* (pow a 3) (pow c 3))) (* 16 (* (pow a 3) (pow c 3))))) (pow b 4))))) b)
(/ (+ (* -2 (* a c)) (+ (* 1/4 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 8 (* (pow a 2) (pow c 2)))) (pow b 2))) (+ (* 1/4 (/ (+ (* -2 (+ (* -16 (* (pow a 4) (pow c 4))) (* -4 (* (pow a 4) (pow c 4))))) (+ (* 2 (/ (+ (* -16 (* (pow a 5) (pow c 5))) (* -2 (* a (* c (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))))))) (* a c))) (* 32 (* (pow a 4) (pow c 4))))) (pow b 6))) (* 1/4 (/ (+ (* 2 (/ (+ (* -16 (* (pow a 4) (pow c 4))) (* -4 (* (pow a 4) (pow c 4)))) (* a c))) (+ (* 8 (* (pow a 3) (pow c 3))) (* 16 (* (pow a 3) (pow c 3))))) (pow b 4)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -1/4 (/ (+ (* -8 (* a c)) (* 16 (* a c))) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -1/4 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (+ (* -2 (+ (* -8 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))) (* 16 (* (pow a 2) (pow c 2))))) (pow b 4))) (* -1/4 (/ (+ (* -8 (* a c)) (* 16 (* a c))) (pow b 2)))))))
(* -1 (* b (+ 2 (+ (* -1/4 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (+ (* -2 (+ (* -8 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))) (* 16 (* (pow a 2) (pow c 2))))) (pow b 4))) (+ (* -1/4 (/ (+ (* -8 (* a c)) (* 16 (* a c))) (pow b 2))) (* -1/4 (/ (+ (* -2 (* a (* c (+ (* -8 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2))))))) (+ (* -2 (+ (* -16 (* (pow a 3) (pow c 3))) (* 8 (* (pow a 3) (pow c 3))))) (+ (* -2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a c))) (* 32 (* (pow a 3) (pow c 3)))))) (pow b 6))))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* 1/4 (* c (+ (* -16 (/ (pow a 2) (pow b 3))) (* 8 (/ (pow a 2) (pow b 3))))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* 1/4 (* c (+ (* 2 (/ (* b (+ (* -16 (/ (pow a 4) (pow b 6))) (* -4 (/ (pow a 4) (pow b 6))))) a)) (+ (* 8 (/ (pow a 3) (pow b 5))) (* 16 (/ (pow a 3) (pow b 5))))))) (* 1/4 (+ (* -16 (/ (pow a 2) (pow b 3))) (* 8 (/ (pow a 2) (pow b 3)))))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* 1/4 (+ (* -16 (/ (pow a 2) (pow b 3))) (* 8 (/ (pow a 2) (pow b 3))))) (* c (+ (* 1/4 (* c (+ (* -2 (/ (+ (* -16 (/ (pow a 4) (pow b 6))) (* -4 (/ (pow a 4) (pow b 6)))) b)) (+ (* 2 (/ (* b (+ (* -16 (/ (pow a 5) (pow b 8))) (* -2 (/ (* a (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow b 2))))) a)) (* 32 (/ (pow a 4) (pow b 7))))))) (* 1/4 (+ (* 2 (/ (* b (+ (* -16 (/ (pow a 4) (pow b 6))) (* -4 (/ (pow a 4) (pow b 6))))) a)) (+ (* 8 (/ (pow a 3) (pow b 5))) (* 16 (/ (pow a 3) (pow b 5))))))))))))
(* -1/4 (* (sqrt (* a c)) (pow (sqrt -4) 3)))
(* (pow c 2) (+ (* -1/4 (* (sqrt (/ a (pow c 3))) (pow (sqrt -4) 3))) (* 1/4 (/ (+ (* -1 (/ (* b (pow (sqrt -4) 2)) c)) (* 2 (/ (* b (pow (sqrt -4) 2)) c))) c))))
(* (pow c 2) (+ (* -1/4 (* (sqrt (/ a (pow c 3))) (pow (sqrt -4) 3))) (+ (* 1/4 (/ (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -4)))) (* 2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -4)))))) (pow c 2))) (* 1/4 (/ (+ (* -1 (/ (* b (pow (sqrt -4) 2)) c)) (* 2 (/ (* b (pow (sqrt -4) 2)) c))) c)))))
(* (pow c 2) (+ (* -1/4 (* (sqrt (/ a (pow c 3))) (pow (sqrt -4) 3))) (+ (* 1/4 (/ (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -4)))) (* 2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -4)))))) (pow c 2))) (+ (* 1/4 (/ (+ (* -2 (/ (pow b 3) a)) (* 2 (/ (pow b 3) a))) (pow c 3))) (* 1/4 (/ (+ (* -1 (/ (* b (pow (sqrt -4) 2)) c)) (* 2 (/ (* b (pow (sqrt -4) 2)) c))) c))))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* (pow c 2) (+ (* 1/4 (/ (+ (* -8 (/ b c)) (* 4 (/ b c))) c)) (* 2 (* (sqrt (/ a (pow c 3))) (sqrt -1)))))
(* (pow c 2) (+ (* -1 (/ (+ (* -1/4 (+ (* -8 (/ b c)) (* 4 (/ b c)))) (* 1/4 (/ (+ (* -4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))))) c))) c)) (* 2 (* (sqrt (/ a (pow c 3))) (sqrt -1)))))
(* (pow c 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (+ (* -4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))))) (* 1/4 (/ (+ (* -2 (/ (pow b 3) a)) (* 2 (/ (pow b 3) a))) c))) c)) (* -1/4 (+ (* -8 (/ b c)) (* 4 (/ b c))))) c)) (* 2 (* (sqrt (/ a (pow c 3))) (sqrt -1)))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* 1/4 (* a (+ (* -16 (/ (pow c 2) (pow b 3))) (* 8 (/ (pow c 2) (pow b 3))))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* 1/4 (* a (+ (* 2 (/ (* b (+ (* -16 (/ (pow c 4) (pow b 6))) (* -4 (/ (pow c 4) (pow b 6))))) c)) (+ (* 8 (/ (pow c 3) (pow b 5))) (* 16 (/ (pow c 3) (pow b 5))))))) (* 1/4 (+ (* -16 (/ (pow c 2) (pow b 3))) (* 8 (/ (pow c 2) (pow b 3)))))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* 1/4 (+ (* -16 (/ (pow c 2) (pow b 3))) (* 8 (/ (pow c 2) (pow b 3))))) (* a (+ (* 1/4 (* a (+ (* -2 (/ (+ (* -16 (/ (pow c 4) (pow b 6))) (* -4 (/ (pow c 4) (pow b 6)))) b)) (+ (* 2 (/ (* b (+ (* -16 (/ (pow c 5) (pow b 8))) (* -2 (/ (* c (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow b 2))))) c)) (* 32 (/ (pow c 4) (pow b 7))))))) (* 1/4 (+ (* 2 (/ (* b (+ (* -16 (/ (pow c 4) (pow b 6))) (* -4 (/ (pow c 4) (pow b 6))))) c)) (+ (* 8 (/ (pow c 3) (pow b 5))) (* 16 (/ (pow c 3) (pow b 5))))))))))))
(* -1/4 (* (sqrt (* a c)) (pow (sqrt -4) 3)))
(* (pow a 2) (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (pow (sqrt -4) 3))) (* 1/4 (/ (+ (* -1 (/ (* b (pow (sqrt -4) 2)) a)) (* 2 (/ (* b (pow (sqrt -4) 2)) a))) a))))
(* (pow a 2) (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (pow (sqrt -4) 3))) (+ (* 1/4 (/ (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -4)))) (* 2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -4)))))) (pow a 2))) (* 1/4 (/ (+ (* -1 (/ (* b (pow (sqrt -4) 2)) a)) (* 2 (/ (* b (pow (sqrt -4) 2)) a))) a)))))
(* (pow a 2) (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (pow (sqrt -4) 3))) (+ (* 1/4 (/ (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -4)))) (* 2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -4)))))) (pow a 2))) (+ (* 1/4 (/ (+ (* -2 (/ (pow b 3) c)) (* 2 (/ (pow b 3) c))) (pow a 3))) (* 1/4 (/ (+ (* -1 (/ (* b (pow (sqrt -4) 2)) a)) (* 2 (/ (* b (pow (sqrt -4) 2)) a))) a))))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* (pow a 2) (+ (* 1/4 (/ (+ (* -8 (/ b a)) (* 4 (/ b a))) a)) (* 2 (* (sqrt (/ c (pow a 3))) (sqrt -1)))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/4 (+ (* -8 (/ b a)) (* 4 (/ b a)))) (* 1/4 (/ (+ (* -4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))))) a))) a)) (* 2 (* (sqrt (/ c (pow a 3))) (sqrt -1)))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (+ (* -4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))))) (* 1/4 (/ (+ (* -2 (/ (pow b 3) c)) (* 2 (/ (pow b 3) c))) a))) a)) (* -1/4 (+ (* -8 (/ b a)) (* 4 (/ b a))))) a)) (* 2 (* (sqrt (/ c (pow a 3))) (sqrt -1)))))
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(pow a 4)
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* (pow a 4) (pow c 4))
(* 1/20 (* a (pow b 6)))
(* 1/20 (* a (pow b 6)))
(* 1/20 (* a (pow b 6)))
(* 1/20 (* a (pow b 6)))
(* 1/20 (* a (pow b 6)))
(* 1/20 (* a (pow b 6)))
(* 1/20 (* a (pow b 6)))
(* 1/20 (* a (pow b 6)))
(* 1/20 (* a (pow b 6)))
(* 1/20 (* a (pow b 6)))
(* 1/20 (* a (pow b 6)))
(* 1/20 (* a (pow b 6)))
(* 1/20 (* a (pow b 6)))
(* 1/20 (* a (pow b 6)))
(* 1/20 (* a (pow b 6)))
(* 1/20 (* a (pow b 6)))
(* 1/20 (* a (pow b 6)))
(* 1/20 (* a (pow b 6)))
(* 1/20 (* a (pow b 6)))
(* 1/20 (* a (pow b 6)))
(* 1/20 (* a (pow b 6)))
(* 1/20 (* a (pow b 6)))
(* 1/20 (* a (pow b 6)))
(* 1/20 (* a (pow b 6)))
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(/ c (* a b))
(/ c (* a b))
(/ c (* a b))
(/ c (* a b))
(/ c (* a b))
(/ c (* a b))
(/ c (* a b))
(/ c (* a b))
(/ c (* a b))
(/ c (* a b))
(/ c (* a b))
(/ c (* a b))
(/ c (* a b))
(/ c (* a b))
(/ c (* a b))
(/ c (* a b))
(/ c (* a b))
(/ c (* a b))
(/ c (* a b))
(/ c (* a b))
(/ c (* a b))
(/ c (* a b))
(/ c (* a b))
(/ c (* a b))
(/ c (* a b))
(/ c (* a b))
(/ c (* a b))
(/ c (* a b))
(/ c (* a b))
(/ c (* a b))
(/ c (* a b))
(/ c (* a b))
(/ c (* a b))
(/ c (* a b))
(/ c (* a b))
(/ c (* a b))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* -1 (* (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)))
(* 2 (/ (* a c) b))
(/ (- (* 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)
(* 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))))))))
(* 2 (/ (* a c) b))
(* 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 (* (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)))))
(* 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))))))
(* 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 (* (sqrt (* a c)) (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)))))
(* 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))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* 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)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -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))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (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)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -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))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* -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 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) 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)
(/ (+ (* -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)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* 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))))))))
(* -1/4 (pow (sqrt -4) 2))
(+ (* -1/4 (pow (sqrt -4) 2)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (sqrt -4)))))
(+ (* -1/4 (pow (sqrt -4) 2)) (* b (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(+ (* -1/4 (pow (sqrt -4) 2)) (* b (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ b (sqrt -4)))) (* 1/2 (/ 1 (* a c))))))))
(* -1 (/ (* a c) (pow b 2)))
(/ (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1 (* a c))) (pow b 2))
(/ (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -1 (* a c)) (* 1/4 (/ (+ (* -16 (* (pow a 3) (pow c 3))) (* -4 (* (pow a 3) (pow c 3)))) (pow b 4))))) (pow b 2))
(/ (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -1 (* a c)) (+ (* 1/4 (/ (+ (* -16 (* (pow a 3) (pow c 3))) (* -4 (* (pow a 3) (pow c 3)))) (pow b 4))) (* 1/4 (/ (+ (* -16 (* (pow a 4) (pow c 4))) (* -2 (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))))) (pow b 6)))))) (pow b 2))
(* -1 (/ (pow b 2) (* a c)))
(* (pow b 2) (- (* 2 (/ 1 (pow b 2))) (/ 1 (* a c))))
(* (pow b 2) (- (+ (* -1/4 (/ (+ (* -8 (* a c)) (* 4 (* a c))) (pow b 4))) (* 2 (/ 1 (pow b 2)))) (/ 1 (* a c))))
(* (pow b 2) (- (+ (* -1/4 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 8 (* (pow a 2) (pow c 2)))) (pow b 6))) (+ (* -1/4 (/ (+ (* -8 (* a c)) (* 4 (* a c))) (pow b 4))) (* 2 (/ 1 (pow b 2))))) (/ 1 (* a c))))
(* -1 (/ (* a c) (pow b 2)))
(* c (+ (* -2 (/ (* (pow a 2) c) (pow b 4))) (* -1 (/ a (pow b 2)))))
(* c (+ (* -1 (/ a (pow b 2))) (* c (+ (* -2 (/ (pow a 2) (pow b 4))) (* 1/4 (* c (+ (* -16 (/ (pow a 3) (pow b 6))) (* -4 (/ (pow a 3) (pow b 6))))))))))
(* c (+ (* -1 (/ a (pow b 2))) (* c (+ (* -2 (/ (pow a 2) (pow b 4))) (* c (+ (* 1/4 (* c (+ (* -16 (/ (pow a 4) (pow b 8))) (* -2 (/ (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))) (pow b 2)))))) (* 1/4 (+ (* -16 (/ (pow a 3) (pow b 6))) (* -4 (/ (pow a 3) (pow b 6)))))))))))
(* -1/4 (pow (sqrt -4) 2))
(* c (+ (* -1/4 (/ (pow (sqrt -4) 2) c)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -4))))))
(* c (+ (* -1/2 (/ (pow b 2) (* a (pow c 2)))) (+ (* -1/4 (/ (pow (sqrt -4) 2) c)) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -4)))))))
(* c (+ (* -1/2 (/ (pow b 2) (* a (pow c 2)))) (+ (* -1/4 (/ (pow (sqrt -4) 2) c)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 3) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -4))))))))
1
(* -1 (* c (- (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1))) (/ 1 c))))
(* -1 (* c (- (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1)))) (* -1/2 (/ (pow b 2) (* a c)))) c)) (/ 1 c))))
(* -1 (* c (- (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1)))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 3) (sqrt -1)))) (* 1/2 (/ (pow b 2) a))) c))) c)) (/ 1 c))))
(* -1 (/ (* a c) (pow b 2)))
(* a (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (* -1 (/ c (pow b 2)))))
(* a (+ (* -1 (/ c (pow b 2))) (* a (+ (* -2 (/ (pow c 2) (pow b 4))) (* 1/4 (* a (+ (* -16 (/ (pow c 3) (pow b 6))) (* -4 (/ (pow c 3) (pow b 6))))))))))
(* a (+ (* -1 (/ c (pow b 2))) (* a (+ (* -2 (/ (pow c 2) (pow b 4))) (* a (+ (* 1/4 (* a (+ (* -16 (/ (pow c 4) (pow b 8))) (* -2 (/ (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))) (pow b 2)))))) (* 1/4 (+ (* -16 (/ (pow c 3) (pow b 6))) (* -4 (/ (pow c 3) (pow b 6)))))))))))
(* -1/4 (pow (sqrt -4) 2))
(* a (+ (* -1/4 (/ (pow (sqrt -4) 2) a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -4))))))
(* a (+ (* -1/2 (/ (pow b 2) (* (pow a 2) c))) (+ (* -1/4 (/ (pow (sqrt -4) 2) a)) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -4)))))))
(* a (+ (* -1/2 (/ (pow b 2) (* (pow a 2) c))) (+ (* -1/4 (/ (pow (sqrt -4) 2) a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -4))))))))
1
(* -1 (* a (- (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1))) (/ 1 a))))
(* -1 (* a (- (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1)))) (* -1/2 (/ (pow b 2) (* a c)))) a)) (/ 1 a))))
(* -1 (* a (- (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1)))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 3) (sqrt -1)))) (* 1/2 (/ (pow b 2) c))) a))) a)) (/ 1 a))))

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

eval336.0ms (2.5%)

Memory: 27.5MiB live, 757.8MiB allocated
Compiler: Compiled 101 490 to 6 620 computations (93.5% saved)

prune223.0ms (1.7%)

Memory

8.1MiB live, 498.6MiB allocated

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	2 075	11	2 086
Fresh	27	11	38
Picked	4	1	5
Done	0	1	1
Total	2 106	24	2 130

Accuracy

100.0%

Counts

2 130 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	16.5%	(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (.f64 (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
	96.8%	(/.f64 (fma.f64 (/.f64 (.f64 a (.f64 (.f64 c (.f64 c a)) c)) (.f64 b (.f64 b (.f64 b b)))) #s(literal -2 binary64) (.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)))) b)
▶	95.4%	(/.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c) (neg.f64 b))
▶	15.1%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a))
	15.0%	(/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (*.f64 #s(literal -2 binary64) a))
	99.2%	(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (.f64 #s(literal 4 binary64) (.f64 a c))) (.f64 #s(literal 2 binary64) a))
	95.4%	(/.f64 (.f64 c (fma.f64 (neg.f64 a) (/.f64 c (.f64 b b)) #s(literal -1 binary64))) b)
	91.7%	(/.f64 (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
▶	99.8%	(/.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 a #s(literal 2 binary64)))) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))))
	95.0%	(/.f64 (neg.f64 (fma.f64 c (.f64 b b) (.f64 a (.f64 c c)))) (.f64 b (*.f64 b b)))
	95.0%	(/.f64 (neg.f64 (fma.f64 a (.f64 c c) (.f64 (.f64 b b) c))) (.f64 b (*.f64 b b)))
	99.5%	(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (.f64 a #s(literal 2 binary64))))
✓	92.1%	(/.f64 c (neg.f64 b))
	15.0%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
▶	91.7%	(/.f64 #s(literal -1 binary64) (/.f64 b c))
	14.8%	(-.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64))))
	95.0%	(.f64 (fma.f64 (/.f64 c (.f64 b (.f64 b b))) c (/.f64 c (.f64 a b))) (neg.f64 a))
	91.7%	(.f64 (/.f64 c (.f64 a b)) (neg.f64 a))
	91.6%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (*.f64 c a) #s(literal 2 binary64)) b))
✓	91.7%	(*.f64 (/.f64 #s(literal -1 binary64) b) c)
	99.2%	(.f64 (-.f64 #s(literal 0 binary64) (.f64 c (.f64 a #s(literal -4 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))))) (.f64 a #s(literal 2 binary64))))
	94.9%	(.f64 (+.f64 (/.f64 (.f64 c c) (.f64 b (.f64 b b))) (/.f64 (/.f64 c a) b)) (neg.f64 a))
	94.8%	(.f64 (.f64 (.f64 c c) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 b c))) (/.f64 #s(literal 1 binary64) (.f64 b (*.f64 b b))))) (neg.f64 a))
	95.4%	(neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b (*.f64 b b))) (/.f64 c b)))

Compiler

Compiled 909 to 565 computations (37.8% saved)

simplify322.0ms (2.4%)

Memory

-5.7MiB live, 419.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) a)
✓	cost-diff	128	(.f64 (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
✓	cost-diff	896	(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (.f64 (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
✓	cost-diff	0	(fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))
✓	cost-diff	0	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))
✓	cost-diff	0	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) b)
✓	cost-diff	0	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a))
✓	cost-diff	0	(*.f64 c c)
✓	cost-diff	0	(/.f64 (.f64 c c) (.f64 b b))
✓	cost-diff	0	(fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c)
✓	cost-diff	0	(/.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c) (neg.f64 b))
✓	cost-diff	0	(/.f64 b c)
✓	cost-diff	576	(/.f64 #s(literal -1 binary64) (/.f64 b c))
✓	cost-diff	0	(/.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 a #s(literal 2 binary64)))) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))))
✓	cost-diff	192	(-.f64 #s(literal 0 binary64) (.f64 c (.f64 a #s(literal -4 binary64))))
✓	cost-diff	320	(.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 a #s(literal 2 binary64))))
✓	cost-diff	1344	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 c (.f64 a #s(literal -4 binary64)))) (*.f64 a #s(literal 2 binary64)))

Rules

13 580×	`accelerator-lowering-fma.f32`
13 580×	`accelerator-lowering-fma.f64`
3 904×	`-lowering-.f32`
3 904×	`-lowering-.f64`
2 054×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	299
1	109	289
2	294	284
3	828	272
4	4251	271
5	7085	271
0	8167	257

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* -1 (/ (- 0 (* c (* a -4))) (* a 2))) (+ b (sqrt (+ (* a (* c -4)) (* b b)))))
(* -1 (/ (- 0 (* c (* a -4))) (* a 2)))
-1
(/ (- 0 (* c (* a -4))) (* a 2))
(- 0 (* c (* a -4)))
0
(* c (* a -4))
c
(* a -4)
a
-4
(* a 2)
2
(+ b (sqrt (+ (* a (* c -4)) (* b b))))
b
(sqrt (+ (* a (* c -4)) (* b b)))
(+ (* a (* c -4)) (* b b))
(* c -4)
(* b b)
(/ -1 (/ b c))
-1
(/ b c)
b
c
(/ (+ (* a (/ (* c c) (* b b))) c) (neg b))
(+ (* a (/ (* c c) (* b b))) c)
a
(/ (* c c) (* b b))
(* c c)
c
(* b b)
b
(neg b)
(/ (- (sqrt (+ (* b b) (* c (* a -4)))) b) (* 2 a))
(- (sqrt (+ (* b b) (* c (* a -4)))) b)
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
b
(* c (* a -4))
c
(* a -4)
a
-4
(* 2 a)
2
(+ (* (/ -1/2 a) b) (* (/ -1/2 a) (neg (sqrt (+ (* c (* a -4)) (* b b))))))
(/ -1/2 a)
-1/2
a
b
(* (/ -1/2 a) (neg (sqrt (+ (* c (* a -4)) (* b b)))))
(neg (sqrt (+ (* c (* a -4)) (* b b))))
(sqrt (+ (* c (* a -4)) (* b b)))
(+ (* c (* a -4)) (* b b))
c
(* a -4)
-4
(* b b)

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

localize237.0ms (1.8%)

Memory

7.5MiB live, 410.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))
✓	accuracy	99.9%	(fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))
✓	accuracy	99.6%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))
✓	accuracy	16.8%	(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (.f64 (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
✓	accuracy	100.0%	(fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))
✓	accuracy	99.9%	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))
✓	accuracy	99.6%	(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a))
✓	accuracy	15.1%	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) b)
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(neg.f64 b)
✓	accuracy	99.9%	(/.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c) (neg.f64 b))
✓	accuracy	99.5%	(/.f64 (.f64 c c) (.f64 b b))
✓	accuracy	100.0%	(/.f64 b c)
✓	accuracy	99.5%	(/.f64 #s(literal -1 binary64) (/.f64 b c))
✓	accuracy	99.9%	(sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))
✓	accuracy	99.9%	(/.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 a #s(literal 2 binary64)))) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))))
✓	accuracy	99.9%	(fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))
✓	accuracy	99.8%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 c (.f64 a #s(literal -4 binary64)))) (*.f64 a #s(literal 2 binary64)))

Samples

157.0ms	219×	1	valid
8.0ms	31×	0	valid
4.0ms	6×	2	valid

Compiler

Compiled 295 to 43 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

adjust: 35.0ms (30.1% of total)

ival-mult: 29.0ms (25% of total)

ival-div: 23.0ms (19.8% of total)

ival-add: 12.0ms (10.3% of total)

ival-sqrt: 9.0ms (7.7% of total)

ival-sub: 4.0ms (3.4% of total)

ival-neg: 3.0ms (2.6% of total)

exact: 1.0ms (0.9% of total)

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

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

series41.0ms (0.3%)

Memory

8.2MiB live, 91.4MiB allocated

Counts

24 → 696

Calls

Call 1

Inputs
#<alt (/ (- 0 (* c (* a -4))) (* a 2))>
#<alt (* -1 (/ (- 0 (* c (* a -4))) (* a 2)))>
#<alt (- 0 (* c (* a -4)))>
#<alt (/ (* -1 (/ (- 0 (* c (* a -4))) (* a 2))) (+ b (sqrt (+ (* a (* c -4)) (* b b)))))>
#<alt (/ -1 (/ b c))>
#<alt (/ b c)>
#<alt (/ (+ (* a (/ (* c c) (* b b))) c) (neg b))>
#<alt (+ (* a (/ (* c c) (* b b))) c)>
#<alt (/ (* c c) (* b b))>
#<alt (* c c)>
#<alt (/ (- (sqrt (+ (* b b) (* c (* a -4)))) b) (* 2 a))>
#<alt (- (sqrt (+ (* b b) (* c (* a -4)))) b)>
#<alt (sqrt (+ (* b b) (* c (* a -4))))>
#<alt (+ (* b b) (* c (* a -4)))>
#<alt (+ (* (/ -1/2 a) b) (* (/ -1/2 a) (neg (sqrt (+ (* c (* a -4)) (* b b))))))>
#<alt (* (/ -1/2 a) (neg (sqrt (+ (* c (* a -4)) (* b b)))))>
#<alt (/ -1/2 a)>
#<alt (neg (sqrt (+ (* c (* a -4)) (* b b))))>
#<alt (+ (* a (* c -4)) (* b b))>
#<alt (sqrt (+ (* a (* c -4)) (* b b)))>
#<alt (neg b)>
#<alt (* b b)>
#<alt (+ (* c (* a -4)) (* b b))>
#<alt (sqrt (+ (* c (* a -4)) (* b b)))>

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

Calls

174 calls:

Time	Variable		Point	Expression
5.0ms	a	@	0	(/ (+ (* a (/ (* c c) (* b b))) c) (neg b))
3.0ms	a	@	-inf	(neg (sqrt (+ (* c (* a -4)) (* b b))))
1.0ms	c	@	inf	(* (/ -1/2 a) (neg (sqrt (+ (* c (* a -4)) (* b b)))))
1.0ms	a	@	inf	(/ (+ (* a (/ (* c c) (* b b))) c) (neg b))
1.0ms	a	@	inf	(* (/ -1/2 a) (neg (sqrt (+ (* c (* a -4)) (* b b)))))

rewrite530.0ms (3.9%)

Memory

-29.2MiB live, 888.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 768×	`/-lowering-/.f32`
4 768×	`/-lowering-/.f64`
4 738×	`accelerator-lowering-fma.f32`
4 738×	`accelerator-lowering-fma.f64`
4 020×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	229
1	258	210
2	2224	210
0	8734	196

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 1 552

Calls

Call 1

Inputs
(/ (- 0 (* c (* a -4))) (* a 2))
(* -1 (/ (- 0 (* c (* a -4))) (* a 2)))
(- 0 (* c (* a -4)))
(/ (* -1 (/ (- 0 (* c (* a -4))) (* a 2))) (+ b (sqrt (+ (* a (* c -4)) (* b b)))))
(/ -1 (/ b c))
(/ b c)
(/ (+ (* a (/ (* c c) (* b b))) c) (neg b))
(+ (* a (/ (* c c) (* b b))) c)
(/ (* c c) (* b b))
(* c c)
(/ (- (sqrt (+ (* b b) (* c (* a -4)))) b) (* 2 a))
(- (sqrt (+ (* b b) (* c (* a -4)))) b)
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(+ (* (/ -1/2 a) b) (* (/ -1/2 a) (neg (sqrt (+ (* c (* a -4)) (* b b))))))
(* (/ -1/2 a) (neg (sqrt (+ (* c (* a -4)) (* b b)))))
(/ -1/2 a)
(neg (sqrt (+ (* c (* a -4)) (* b b))))
(+ (* a (* c -4)) (* b b))
(sqrt (+ (* a (* c -4)) (* b b)))
(neg b)
(* b b)
(+ (* c (* a -4)) (* b b))
(sqrt (+ (* c (* a -4)) (* b b)))

Outputs
(+.f64 #s(literal 0 binary64) (neg.f64 (.f64 (/.f64 (.f64 c a) a) #s(literal -2 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 a #s(literal 2 binary64)) (.f64 (.f64 c a) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 c a) a) #s(literal -2 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 16 binary64) (.f64 (.f64 c a) (.f64 c a)))) (.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (*.f64 c a) a) #s(literal -2 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (*.f64 c a) a) #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 a #s(literal -2 binary64)))) (.f64 (/.f64 (*.f64 c a) a) #s(literal -2 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 16 binary64) (.f64 (.f64 c a) (.f64 c a)))) (neg.f64 (.f64 a #s(literal -2 binary64)))) (.f64 (/.f64 (*.f64 c a) a) #s(literal -2 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (.f64 c (.f64 a #s(literal -4 binary64)))) (neg.f64 (.f64 a #s(literal -2 binary64)))) (.f64 (/.f64 (*.f64 c a) a) #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 a #s(literal 2 binary64)) (.f64 #s(literal 16 binary64) (.f64 (.f64 c a) (.f64 c a))))) (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 #s(literal -64 binary64) (.f64 a (.f64 a a)))) (.f64 (.f64 a #s(literal 2 binary64)) (.f64 #s(literal 16 binary64) (.f64 (.f64 c a) (.f64 c a))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 a #s(literal 2 binary64)) (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 c a) (.f64 c a))) (.f64 (.f64 a #s(literal 2 binary64)) (.f64 c (.f64 a #s(literal -4 binary64))))))
(-.f64 (/.f64 (.f64 #s(literal 0 binary64) (.f64 a #s(literal 2 binary64))) (.f64 (.f64 a #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64)))) (/.f64 (.f64 (.f64 a #s(literal 2 binary64)) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 (.f64 a #s(literal 2 binary64)) (.f64 a #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (/.f64 (.f64 c a) a) #s(literal -2 binary64)) (.f64 (/.f64 (.f64 c a) a) #s(literal -2 binary64)) (.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 c a) a) #s(literal -2 binary64)))))) (/.f64 (.f64 (.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a))) #s(literal 64 binary64)) (/.f64 #s(literal -1/8 binary64) (.f64 a (.f64 a a)))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (/.f64 (.f64 c a) a) #s(literal -2 binary64)) (.f64 (/.f64 (.f64 c a) a) #s(literal -2 binary64)) (.f64 #s(literal 0 binary64) (.f64 (/.f64 (*.f64 c a) a) #s(literal -2 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 c a) a) #s(literal -2 binary64)))) (/.f64 (.f64 (.f64 (/.f64 (.f64 c a) a) #s(literal -2 binary64)) (.f64 (/.f64 (.f64 c a) a) #s(literal -2 binary64))) (+.f64 #s(literal 0 binary64) (.f64 (/.f64 (*.f64 c a) a) #s(literal -2 binary64)))))
(neg.f64 (.f64 (/.f64 (.f64 c a) a) #s(literal -2 binary64)))
(/.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (*.f64 a #s(literal -2 binary64)))
(/.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (neg.f64 (neg.f64 (*.f64 a #s(literal -2 binary64)))))
(/.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) (*.f64 a #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) (neg.f64 (*.f64 a #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 a #s(literal 2 binary64)) (.f64 (*.f64 c a) #s(literal 4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (.f64 a #s(literal 2 binary64)) (.f64 (*.f64 c a) #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) a))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 2 binary64)) (.f64 (*.f64 c a) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 a #s(literal 2 binary64)) (.f64 (*.f64 c a) #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) a)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (.f64 a #s(literal 2 binary64)) (.f64 (*.f64 c a) #s(literal 4 binary64))))))
(/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 #s(literal -64 binary64) (.f64 a (.f64 a a)))) (neg.f64 (.f64 (.f64 a #s(literal 2 binary64)) (.f64 #s(literal 16 binary64) (.f64 (.f64 c a) (.f64 c a))))))
(/.f64 (.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a))) #s(literal 64 binary64)) (.f64 (.f64 a #s(literal 2 binary64)) (.f64 #s(literal 16 binary64) (.f64 (.f64 c a) (.f64 c a)))))
(/.f64 (neg.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 c a) (.f64 c a)))) (.f64 (.f64 a #s(literal 2 binary64)) (.f64 c (.f64 a #s(literal -4 binary64)))))
(/.f64 (/.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) a) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 a #s(literal 2 binary64))) (.f64 (.f64 a #s(literal 2 binary64)) (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 (.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a))) #s(literal 64 binary64)) #s(literal 1 binary64)) (.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 c a) (.f64 c a))) (*.f64 a #s(literal 2 binary64))))
(/.f64 (.f64 (neg.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 c a) (.f64 c a)))) #s(literal 1 binary64)) (.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) a)) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 c a) (.f64 c a))))) (neg.f64 (.f64 (.f64 a #s(literal 2 binary64)) (.f64 c (.f64 a #s(literal -4 binary64))))))
(/.f64 (/.f64 (.f64 c (.f64 a #s(literal -4 binary64))) #s(literal -2 binary64)) a)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a))) #s(literal 64 binary64)) (/.f64 #s(literal -1/8 binary64) (.f64 a (.f64 a a))))) (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (/.f64 (.f64 c a) a) #s(literal -2 binary64)) (.f64 (/.f64 (.f64 c a) a) #s(literal -2 binary64)) (.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 c a) a) #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (/.f64 (.f64 c a) a) #s(literal -2 binary64)) (.f64 (/.f64 (.f64 c a) a) #s(literal -2 binary64)))) (+.f64 #s(literal 0 binary64) (.f64 (/.f64 (*.f64 c a) a) #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 a #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a))) #s(literal 64 binary64)) (/.f64 #s(literal 1/2 binary64) a)) (.f64 #s(literal 16 binary64) (.f64 (.f64 c a) (*.f64 c a))))
(/.f64 (.f64 (neg.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 c a) (.f64 c a)))) (/.f64 #s(literal 1/2 binary64) a)) (.f64 c (*.f64 a #s(literal -4 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 a #s(literal 2 binary64))) (.f64 (.f64 a #s(literal 2 binary64)) (.f64 c (.f64 a #s(literal -4 binary64)))))) (neg.f64 (.f64 (.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a))) #s(literal 64 binary64)) #s(literal 1 binary64))) (neg.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 c a) (.f64 c a))) (*.f64 a #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (neg.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 c a) (.f64 c a)))) #s(literal 1 binary64))) (neg.f64 (.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (*.f64 a #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) a))) #s(literal 2 binary64))
(/.f64 (neg.f64 (/.f64 (.f64 c (.f64 a #s(literal -4 binary64))) #s(literal -2 binary64))) (neg.f64 a))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a))) #s(literal 64 binary64)) (/.f64 #s(literal -1/8 binary64) (.f64 a (.f64 a a)))))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 (/.f64 (.f64 c a) a) #s(literal -2 binary64)) (.f64 (/.f64 (.f64 c a) a) #s(literal -2 binary64)) (.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 c a) a) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 (/.f64 (.f64 c a) a) #s(literal -2 binary64)) (.f64 (/.f64 (.f64 c a) a) #s(literal -2 binary64))))) (neg.f64 (+.f64 #s(literal 0 binary64) (.f64 (/.f64 (*.f64 c a) a) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 c a) #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 a #s(literal -2 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a))) #s(literal 64 binary64)) (/.f64 #s(literal 1/2 binary64) a))) (neg.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 c a) (*.f64 c a)))))
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(/.f64 (neg.f64 (sqrt.f64 (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 c a) (.f64 c a))) (.f64 b (.f64 b (.f64 b b)))))) (neg.f64 (sqrt.f64 (-.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (.f64 b b)))))
(pow.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #s(literal 1 binary64))
(pow.f64 (.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(.f64 (sqrt.f64 (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) (.f64 (.f64 c (.f64 c c)) (.f64 #s(literal -64 binary64) (.f64 a (.f64 a a)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (-.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (.f64 b b)) (.f64 b (.f64 b (*.f64 b b))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) (.f64 (.f64 c (.f64 c c)) (.f64 #s(literal -64 binary64) (.f64 a (.f64 a a)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64))) (.f64 #s(literal 16 binary64) (.f64 (.f64 c a) (.f64 c a))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) (.f64 (.f64 c (.f64 c c)) (.f64 #s(literal -64 binary64) (.f64 a (.f64 a a)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (-.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (.f64 b b)) (.f64 b (.f64 b (*.f64 b b)))))))
(.f64 (sqrt.f64 (fma.f64 (.f64 b (.f64 b b)) (.f64 b (.f64 b b)) (.f64 (.f64 c (.f64 c c)) (.f64 #s(literal -64 binary64) (.f64 a (.f64 a a)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 b b) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64))) (.f64 #s(literal 16 binary64) (.f64 (.f64 c a) (.f64 c a)))))))
(.f64 (sqrt.f64 (.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b b (.f64 (.f64 c a) #s(literal 4 binary64))))))
(.f64 (sqrt.f64 (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 c a) (.f64 c a))) (.f64 b (.f64 b (.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (*.f64 b b))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 c a) (.f64 c a))) (.f64 b (.f64 b (.f64 b b))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (*.f64 b b)))))
(.f64 (pow.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))

simplify791.0ms (5.9%)

Memory

-212.9MiB live, 965.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 610×	`accelerator-lowering-fma.f32`
11 610×	`accelerator-lowering-fma.f64`
8 556×	`-lowering-.f32`
8 556×	`-lowering-.f64`
5 616×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	975	11932
1	3226	11663
0	8934	11191

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 696

Calls

Call 1

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

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

eval347.0ms (2.6%)

Memory: 55.2MiB live, 704.7MiB allocated
Compiler: Compiled 67 466 to 4 868 computations (92.8% saved)

prune295.0ms (2.2%)

Memory

-0.4MiB live, 524.8MiB allocated

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	2 311	10	2 321
Fresh	12	5	17
Picked	3	2	5
Done	0	2	2
Total	2 326	19	2 345

Accuracy

100.0%

Counts

2 345 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.8%	(/.f64 (fma.f64 (/.f64 (.f64 a (.f64 (.f64 c (.f64 c a)) c)) (.f64 b (.f64 b (.f64 b b)))) #s(literal -2 binary64) (.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)))) b)
✓	95.4%	(/.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c) (neg.f64 b))
	91.7%	(/.f64 (/.f64 (*.f64 (neg.f64 c) a) b) a)
	91.7%	(/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) c))
	95.4%	(/.f64 (.f64 c (fma.f64 (neg.f64 a) (/.f64 c (.f64 b b)) #s(literal -1 binary64))) b)
	99.5%	(/.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (.f64 a #s(literal 2 binary64))))
	99.9%	(/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
	95.0%	(/.f64 (neg.f64 (fma.f64 c (.f64 b b) (.f64 (.f64 c a) c))) (.f64 b (*.f64 b b)))
	95.0%	(/.f64 (neg.f64 (fma.f64 a (.f64 c c) (.f64 (.f64 b b) c))) (.f64 b (*.f64 b b)))
✓	92.1%	(/.f64 c (neg.f64 b))
	99.3%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 a #s(literal 2 binary64))))
✓	91.7%	(/.f64 #s(literal -1 binary64) (/.f64 b c))
	91.6%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
	95.0%	(.f64 (fma.f64 a (/.f64 (.f64 c c) (*.f64 b b)) c) (/.f64 #s(literal -1 binary64) b))
	91.7%	(.f64 (/.f64 c (.f64 a b)) (neg.f64 a))
	99.3%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (.f64 (/.f64 (*.f64 c a) a) #s(literal -2 binary64)))
	91.6%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (*.f64 c a) #s(literal 2 binary64)) b))
✓	91.7%	(*.f64 (/.f64 #s(literal -1 binary64) b) c)
	3.3%	#s(literal 0 binary64)

Compiler

Compiled 2 552 to 561 computations (78% saved)

regimes93.0ms (0.7%)

Memory

-9.6MiB live, 144.7MiB allocated

Counts

77 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 c (neg.f64 b))
(*.f64 (/.f64 #s(literal -1 binary64) b) c)
(/.f64 #s(literal -1 binary64) (/.f64 b c))
(.f64 (/.f64 c (.f64 a b)) (neg.f64 a))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) c) b))
(/.f64 (/.f64 (*.f64 (neg.f64 c) a) b) a)
(/.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 #s(literal 1 binary64) c))
(.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (.f64 (*.f64 c a) #s(literal 2 binary64)) b))
(/.f64 (.f64 c (/.f64 (.f64 a #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a))
(neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))
(/.f64 (.f64 c (fma.f64 (neg.f64 a) (/.f64 c (.f64 b b)) #s(literal -1 binary64))) b)
(/.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b b)) c) (neg.f64 b))
(.f64 (fma.f64 a (/.f64 (.f64 c c) (*.f64 b b)) c) (/.f64 #s(literal -1 binary64) b))
(/.f64 (neg.f64 (fma.f64 a (.f64 c c) (.f64 (.f64 b b) c))) (.f64 b (*.f64 b b)))
(/.f64 (neg.f64 (fma.f64 c (.f64 b b) (.f64 a (.f64 c c)))) (.f64 b (*.f64 b b)))
(/.f64 (neg.f64 (fma.f64 c (.f64 b b) (.f64 (.f64 c a) c))) (.f64 b (*.f64 b b)))
(neg.f64 (fma.f64 a (/.f64 (.f64 c c) (.f64 b (*.f64 b b))) (/.f64 c b)))
(.f64 c (-.f64 (/.f64 #s(literal -1 binary64) b) (/.f64 (.f64 a c) (.f64 b (.f64 b b)))))
(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b)))))
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (*.f64 #s(literal -2 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) b) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
(.f64 (fma.f64 (/.f64 c (.f64 b (.f64 b b))) c (/.f64 c (.f64 a b))) (neg.f64 a))
(.f64 (+.f64 (/.f64 (.f64 c c) (.f64 b (.f64 b b))) (/.f64 c (*.f64 a b))) (neg.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 a (.f64 #s(literal -1/2 binary64) (-.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (*.f64 b b))))))
(.f64 (+.f64 (/.f64 (.f64 c c) (.f64 b (.f64 b b))) (/.f64 (/.f64 c a) b)) (neg.f64 a))
(/.f64 (.f64 c (.f64 a #s(literal -4 binary64))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (.f64 a #s(literal 2 binary64))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 a #s(literal 2 binary64))) (/.f64 b (.f64 a #s(literal 2 binary64))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (.f64 (/.f64 #s(literal -1/2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b))))))
(.f64 (.f64 (.f64 c c) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 b c))) (/.f64 #s(literal 1 binary64) (.f64 b (*.f64 b b))))) (neg.f64 a))
(/.f64 (.f64 (fma.f64 c (.f64 (/.f64 c (.f64 b (.f64 b b))) a) (/.f64 c b)) (*.f64 a #s(literal -1 binary64))) a)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (.f64 a #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (.f64 (/.f64 (*.f64 c a) a) #s(literal -2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (fma.f64 c (.f64 (/.f64 c (.f64 b (.f64 b b))) a) (/.f64 c b)) (.f64 a #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (.f64 c c) (.f64 b (.f64 b b))) (/.f64 c b))) (.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (.f64 a (.f64 c c)) (.f64 b b)) (.f64 a c))) b) (.f64 #s(literal 2 binary64) a))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 a #s(literal 2 binary64))))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (.f64 #s(literal 4 binary64) (.f64 a c))) (.f64 #s(literal 2 binary64) a))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 c (.f64 a #s(literal -4 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))))) (.f64 a #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 a #s(literal 2 binary64)))) (+.f64 b (sqrt.f64 (fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b)))))
(/.f64 (.f64 (-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) #s(literal -1/2 binary64)) (.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))) a))
(.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))
(.f64 (-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (*.f64 a #s(literal 2 binary64))))
(/.f64 (.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) a)) (fma.f64 a (/.f64 (.f64 c c) (.f64 b (.f64 b b))) (/.f64 c b))) (*.f64 #s(literal 2 binary64) a))
(.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) a) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (/.f64 (.f64 c (.f64 c c)) (.f64 (.f64 b b) (.f64 b b)))) (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c)) b)
(/.f64 (fma.f64 (/.f64 (.f64 a (.f64 (.f64 c (.f64 c a)) c)) (.f64 b (.f64 b (.f64 b b)))) #s(literal -2 binary64) (.f64 c (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) #s(literal -1 binary64)))) b)
(.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (/.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))))
(/.f64 (-.f64 (/.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))))) (.f64 #s(literal 2 binary64) a))
(/.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 (.f64 c a) #s(literal -4 binary64) (.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (-.f64 (/.f64 (.f64 b b) (neg.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))) (/.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (neg.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))) (.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (.f64 a (.f64 c (.f64 a (.f64 a (.f64 c c))))) (.f64 (.f64 b b) (.f64 b b))) (.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (.f64 a (.f64 c c)) (.f64 b b)) (.f64 a c)))) b) (.f64 #s(literal 2 binary64) a))
(/.f64 (.f64 (-.f64 (.f64 b (.f64 b b)) (.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) #s(literal -1/2 binary64)) (.f64 (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))) a))
(.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (fma.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (.f64 b (.f64 b b))) (+.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (-.f64 (.f64 b b) (.f64 (neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (*.f64 b b)))) b)))))
(/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) b) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b))) (.f64 b b))) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a))
(/.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b))))) (.f64 #s(literal 2 binary64) a))
(/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (fma.f64 #s(literal -16 binary64) (.f64 a (.f64 c (.f64 a c))) (.f64 b (.f64 b (.f64 b b))))) (.f64 b b)) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b))) (.f64 b (.f64 b b)))) (.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal 4 binary64) a) c (.f64 b b))) (.f64 b b))) (.f64 #s(literal 2 binary64) a))
(/.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) b (.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (neg.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))
(.f64 c (fma.f64 c (fma.f64 (.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (.f64 c #s(literal -2 binary64)) (/.f64 (neg.f64 a) (.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))
(/.f64 (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) b)))) (*.f64 #s(literal 2 binary64) a))
(/.f64 (fma.f64 (/.f64 (.f64 a (.f64 (.f64 c (.f64 c a)) c)) (.f64 b (.f64 b (.f64 b b)))) #s(literal -2 binary64) (-.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 c (.f64 c (.f64 c c))))) (.f64 (.f64 a (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1/20 binary64))) (fma.f64 c (.f64 c (/.f64 a (.f64 b b))) c))) b)
(/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 a (.f64 (.f64 c (.f64 c a)) c)) (.f64 b (.f64 b (.f64 b b)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 (.f64 c (.f64 c (.f64 c c))) #s(literal 20 binary64))) (.f64 a (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))))) (.f64 (neg.f64 c) (.f64 c (/.f64 a (.f64 b b)))))) c) b)
(.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 a (.f64 (.f64 c (.f64 c a)) c)) (.f64 b (.f64 b (.f64 b b)))) (-.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 c (.f64 c (.f64 c c))))) (.f64 (.f64 a (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1/20 binary64))) (fma.f64 c (.f64 c (/.f64 a (*.f64 b b))) c))) (/.f64 #s(literal 1 binary64) b))
(/.f64 (.f64 (-.f64 (/.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b)) (/.f64 (.f64 b b) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))) (.f64 #s(literal 2 binary64) a))
(-.f64 (/.f64 (/.f64 (.f64 b (.f64 b b)) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (.f64 #s(literal -2 binary64) a)) (/.f64 (/.f64 (.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (*.f64 #s(literal -2 binary64) a)))
(/.f64 (.f64 (.f64 (/.f64 (-.f64 (.f64 b b) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (-.f64 (.f64 b (.f64 b b)) (.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)) (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))) (fma.f64 b b (fma.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64)))))) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a #s(literal -4 binary64))))))))) (.f64 #s(literal 2 binary64) a))
(.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 a (.f64 (.f64 c (.f64 c a)) c)) (.f64 b (.f64 b (.f64 b b)))) (-.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (.f64 a a) (.f64 a a)) (.f64 c (.f64 c (.f64 c c))))) (.f64 (.f64 a (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) #s(literal 1/20 binary64))) (fma.f64 c (.f64 c (/.f64 a (*.f64 b b))) c)))) #s(literal -1 binary64)))
(/.f64 (fma.f64 (.f64 b b) (fma.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (.f64 c (.f64 c c)) (.f64 (.f64 b b) (neg.f64 (fma.f64 c (.f64 b b) (.f64 a (.f64 c c)))))) (.f64 #s(literal -5 binary64) (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 4 binary64))))) (pow.f64 b #s(literal 7 binary64)))
(.f64 c (fma.f64 c (fma.f64 c (fma.f64 #s(literal -2 binary64) (.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 (.f64 #s(literal -1/4 binary64) c) (/.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64)))) (.f64 a b))) (/.f64 (neg.f64 a) (.f64 b (.f64 b b)))) (/.f64 #s(literal -1 binary64) b)))
(+.f64 (neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b)) (.f64 (.f64 a a) (fma.f64 (.f64 (/.f64 (.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 a b)) #s(literal -1/4 binary64) (/.f64 (.f64 (.f64 c (*.f64 c c)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64))))))
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (.f64 c (.f64 a (.f64 a (.f64 c c)))) (.f64 (.f64 b b) (.f64 b b))) (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (.f64 a (pow.f64 b #s(literal 6 binary64)))))) (fma.f64 (.f64 c c) (/.f64 a (*.f64 b b)) c))) b)

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

Calls

4 calls:

24.0ms	b
23.0ms	a
23.0ms	c
18.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
99.9%	1	`a`
99.9%	1	`b`
99.9%	1	`c`
99.9%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes26.0ms (0.2%)

Memory

17.4MiB live, 55.8MiB allocated

Counts

20 → 1

Calls

Call 1

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

Outputs
(neg.f64 (/.f64 (fma.f64 (.f64 c c) (/.f64 a (.f64 b b)) c) b))

Calls

4 calls:

7.0ms	c
6.0ms	b
6.0ms	a
5.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
95.4%	1	`a`
95.4%	1	`b`
95.4%	1	`c`
95.4%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes15.0ms (0.1%)

Memory

-2.2MiB live, 36.4MiB allocated

Counts

10 → 1

Calls

Call 1

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

Outputs
(/.f64 c (neg.f64 b))

Calls

4 calls:

5.0ms	c
4.0ms	b
3.0ms	a
3.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
92.1%	1	`a`
92.1%	1	`b`
92.1%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
92.1%	1	`c`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes7.0ms (0.1%)

Memory

-30.0MiB live, 14.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

4 calls:

3.0ms	c
1.0ms	a
1.0ms	b
1.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
3.3%	1	`a`
3.3%	1	`c`
3.3%	1	`b`
3.3%	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`

Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify8.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	33
1	33	33
2	43	33
3	51	33
4	55	33
5	56	33

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness839.0ms (6.2%)

Memory

14.7MiB live, 630.9MiB allocated

Rules

11 610×	`accelerator-lowering-fma.f32`
11 610×	`accelerator-lowering-fma.f64`
11 458×	`accelerator-lowering-fma.f32`
11 458×	`accelerator-lowering-fma.f64`
8 556×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	504
1	423	358
2	4431	345
0	8108	327
0	975	11932
1	3226	11663
0	8934	11191
0	545	3273
1	1738	3232
2	6083	3204
0	8243	3047
0	14	51
1	67	49
2	527	48
3	6858	48
0	8152	44
0	57	388
1	326	315
2	2954	315
0	9247	299

Stop Event

1×	fuel
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
1×	node limit

Compiler

Compiled 109 to 68 computations (37.6% saved)

preprocess33.0ms (0.2%)

Memory: 4.4MiB live, 80.6MiB allocated
Compiler: Compiled 112 to 66 computations (41.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze214.0ms (1.6%)

sample2.8s (20.9%)

preprocess165.0ms (1.2%)

explain291.0ms (2.2%)

eval0.0ms (0%)

prune41.0ms (0.3%)

simplify106.0ms (0.8%)

localize87.0ms (0.7%)

series42.0ms (0.3%)

rewrite526.0ms (3.9%)

simplify479.0ms (3.6%)

eval90.0ms (0.7%)

prune114.0ms (0.8%)

simplify366.0ms (2.7%)

localize355.0ms (2.6%)

series91.0ms (0.7%)

rewrite556.0ms (4.1%)

simplify476.0ms (3.5%)

eval372.0ms (2.8%)

prune305.0ms (2.3%)

simplify315.0ms (2.3%)

localize322.0ms (2.4%)

series164.0ms (1.2%)

rewrite527.0ms (3.9%)

simplify479.0ms (3.6%)

eval336.0ms (2.5%)

prune223.0ms (1.7%)

simplify322.0ms (2.4%)

localize237.0ms (1.8%)

series41.0ms (0.3%)

rewrite530.0ms (3.9%)

simplify791.0ms (5.9%)

eval347.0ms (2.6%)

prune295.0ms (2.2%)

regimes93.0ms (0.7%)

regimes26.0ms (0.2%)

regimes15.0ms (0.1%)

regimes7.0ms (0.1%)

simplify8.0ms (0.1%)

soundness839.0ms (6.2%)

preprocess33.0ms (0.2%)

end0.0ms (0%)

Profiling