Metrics for jeff quadratic root 2

analyze275.0ms (1.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
34.4%	34.3%	65.5%	0.1%	0%	0%	0%	6
40%	37.4%	56.2%	0.1%	0%	6.2%	0%	7
44.2%	41.3%	52.3%	0.1%	0%	6.2%	0%	8
54.3%	49.5%	41.7%	0.1%	0%	8.6%	0%	9
61%	52.9%	33.7%	0.1%	0%	13.3%	0%	10
66.9%	57.4%	28.4%	0.1%	0%	14%	0%	11
72.5%	60.6%	22.9%	0.1%	0%	16.4%	0%	12

Compiler

Compiled 42 to 21 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

ival-mult: 80.0ms (51.1% of total)

ival-div: 14.0ms (8.9% of total)

ival-sub: 13.0ms (8.3% of total)

ival-sqrt: 13.0ms (8.3% of total)

ival-add: 11.0ms (7% of total)

ival-if: 9.0ms (5.8% of total)

ival->=: 7.0ms (4.5% of total)

ival-neg: 7.0ms (4.5% of total)

const: 3.0ms (1.9% of total)

backward-pass: 1.0ms (0.6% of total)

sample2.2s (10%)

Results

1.4s	8256×	0	valid
142.0ms	911×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-mult: 422.0ms (37.4% of total)

ival-div: 246.0ms (21.8% of total)

ival-sub: 132.0ms (11.7% of total)

ival-sqrt: 92.0ms (8.2% of total)

ival->=: 56.0ms (5% of total)

ival-if: 54.0ms (4.8% of total)

ival-neg: 54.0ms (4.8% of total)

ival-add: 49.0ms (4.3% of total)

const: 21.0ms (1.9% of total)

backward-pass: 4.0ms (0.4% of total)

Bogosity

preprocess192.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

1876×	`fnmadd-define`
1676×	`fmsub-define`
1568×	`sum3-define`
1566×	`fnmsub-define`
1556×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	373
1	236	353
2	657	353
3	1662	345
4	4886	345
0	20	36
1	43	35
2	95	35
3	228	34
4	433	34
5	873	34
6	1776	34
7	4429	34
8	7237	34
0	8024	34

Stop Event

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

Calls

Call 1

Inputs
(if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)))

Outputs

(if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)))

(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -4 binary64)))))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a)))

Call 2

Inputs
(if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)))
(if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a))))
(if (>= (neg b) 0) (/ (* 2 c) (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c))))) (/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a)))
(if (>= b 0) (/ (* 2 (neg c)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c)))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a)))
(neg (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a)))))
(neg (if (>= (neg b) 0) (/ (* 2 c) (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c))))) (/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a))))
(neg (if (>= b 0) (/ (* 2 (neg c)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c)))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a))))
(if (>= a 0) (/ (* 2 c) (- (neg a) (sqrt (- (* a a) (* (* 4 b) c))))) (/ (+ (neg a) (sqrt (- (* a a) (* (* 4 b) c)))) (* 2 b)))
(if (>= b 0) (/ (* 2 a) (- (neg b) (sqrt (- (* b b) (* (* 4 c) a))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 c) a)))) (* 2 c)))
(if (>= c 0) (/ (* 2 b) (- (neg c) (sqrt (- (* c c) (* (* 4 a) b))))) (/ (+ (neg c) (sqrt (- (* c c) (* (* 4 a) b)))) (* 2 a)))

Outputs
(if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)))
(if (>= b 0) (/ (* c -2) (+ b (sqrt (fmsub b b (* c (* 4 a)))))) (* -1/2 (/ (- b (sqrt (fmsub b b (* c (* 4 a))))) a)))
(if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a))))
(if (>= b 0) (/ (* c -2) (+ b (sqrt (fmsub b b (* c (* a -4)))))) (/ (- (sqrt (fmsub b b (* c (* a -4)))) b) (* a -2)))
(if (>= (neg b) 0) (/ (* 2 c) (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c))))) (/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a)))
(if (>= (neg b) 0) (/ (* 2 c) (- b (sqrt (fmsub b b (* c (* 4 a)))))) (/ (+ b (sqrt (fmsub b b (* c (* 4 a))))) (* 2 a)))
(if (>= b 0) (/ (* 2 (neg c)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c)))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a)))
(if (>= b 0) (/ (* 2 c) (+ b (sqrt (fmsub b b (* c (* a -4)))))) (/ (- (sqrt (fmsub b b (* c (* a -4)))) b) (* 2 a)))
(neg (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a)))))
(neg (if (>= b 0) (/ (* c -2) (+ b (sqrt (fmsub b b (* c (* a -4)))))) (/ (- (sqrt (fmsub b b (* c (* a -4)))) b) (* a -2))))
(neg (if (>= (neg b) 0) (/ (* 2 c) (- (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c))))) (/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a))))
(neg (if (>= (neg b) 0) (/ (* 2 c) (- b (sqrt (fmsub b b (* c (* 4 a)))))) (/ (+ b (sqrt (fmsub b b (* c (* 4 a))))) (* 2 a))))
(neg (if (>= b 0) (/ (* 2 (neg c)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c)))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a))))
(neg (if (>= b 0) (/ (* 2 c) (+ b (sqrt (fmsub b b (* c (* a -4)))))) (/ (- (sqrt (fmsub b b (* c (* a -4)))) b) (* 2 a))))
(if (>= a 0) (/ (* 2 c) (- (neg a) (sqrt (- (* a a) (* (* 4 b) c))))) (/ (+ (neg a) (sqrt (- (* a a) (* (* 4 b) c)))) (* 2 b)))
(if (>= a 0) (/ (* c -2) (+ a (sqrt (fmsub a a (* b (* c 4)))))) (/ (- (sqrt (fmsub a a (* b (* c 4)))) a) (* b 2)))
(if (>= b 0) (/ (* 2 a) (- (neg b) (sqrt (- (* b b) (* (* 4 c) a))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 c) a)))) (* 2 c)))
(if (>= b 0) (/ (* a -2) (+ b (sqrt (fmsub b b (* c (* 4 a)))))) (/ (- (sqrt (fmsub b b (* c (* 4 a)))) b) (* 2 c)))
(if (>= c 0) (/ (* 2 b) (- (neg c) (sqrt (- (* c c) (* (* 4 a) b))))) (/ (+ (neg c) (sqrt (- (* c c) (* (* 4 a) b)))) (* 2 a)))
(if (>= c 0) (/ (* b -2) (+ c (sqrt (fma b (* a -4) (* c c))))) (/ (- (sqrt (fma b (* a -4) (* c c))) c) (* 2 a)))

explain325.0ms (1.5%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
115	-	2	(-4.752690799700485e-299 -5.199248740042969e-156 7.21344425237954e-217)	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`
56	-	0	-	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`
53	-	0	-	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`
16	-	1	(-1.1142704774255147e-193 54522370.89656507 -7.138432651206902e-121)	`(/.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))`
12	-	1	(-4.281189154312906e-14 -5.520517186052836e+217 -2.5122559767910582e-85)	`(/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))))`
6	-	0	-	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`
0	-	0	-	`b`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(.f64 (.f64 #s(literal 4 binary64) a) c)`
0	-	0	-	`#s(literal 0 binary64)`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))) (/.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)))`
0	-	0	-	`(>=.f64 b #s(literal 0 binary64))`
0	-	0	-	`(*.f64 #s(literal 4 binary64) a)`
0	-	0	-	`(neg.f64 b)`
0	-	0	-	`c`
0	-	0	-	`(*.f64 #s(literal 2 binary64) a)`
0	-	0	-	`(*.f64 b b)`
0	-	0	-	`(*.f64 #s(literal 2 binary64) c)`
0	-	0	-	`a`

Results

149.0ms	220×	2	valid
42.0ms	100×	1	valid
32.0ms	188×	0	valid
3.0ms	4×	3	valid

Compiler

Compiled 339 to 62 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 138.0ms

ival-mult: 36.0ms (26% of total)

ival-sqrt: 28.0ms (20.2% of total)

backward-pass: 18.0ms (13% of total)

ival-sub: 17.0ms (12.3% of total)

ival-div: 15.0ms (10.8% of total)

ival-if: 8.0ms (5.8% of total)

ival-neg: 6.0ms (4.3% of total)

ival-add: 6.0ms (4.3% of total)

ival->=: 3.0ms (2.2% of total)

const: 2.0ms (1.4% of total)

eval0.0ms (0%)

Compiler: Compiled 39 to 20 computations (48.7% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.4%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (.f64 #s(literal 2 binary64) a)))
▶	71.4%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))) (/.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)))

Status

Accuracy

Program

▶

71.4%

(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -4 binary64)))))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a)))

▶

71.4%

(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.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 80 to 40 computations (50% saved)

simplify190.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 c #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))))
✓	cost-diff	0	(>=.f64 b #s(literal 0 binary64))
✓	cost-diff	0	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (.f64 #s(literal 2 binary64) a)))
✓	cost-diff	64	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
✓	cost-diff	64	(/.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	64	(/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))))
✓	cost-diff	64	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))) (/.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)))

Rules

2374×	`fnmadd-define`
1560×	`fmsub-define`
1414×	`fnmsub-define`
1330×	`fmm-def`
1216×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	272
1	71	266
2	152	266
3	288	262
4	506	262
5	962	262
6	2028	262
7	4981	262
0	8049	262

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)))
(>= b 0)
b
0
(/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))
(* 2 c)
2
c
(- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(neg b)
(sqrt (- (* b b) (* (* 4 a) c)))
(- (* b b) (* (* 4 a) c))
(* b b)
(* (* 4 a) c)
(* 4 a)
4
a
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(* 2 a)
(if (>= b 0) (/ (* c -2) (+ b (sqrt (+ (* b b) (* (* c a) -4))))) (/ (- (sqrt (+ (* b b) (* (* c a) -4))) b) (* 2 a)))
(>= b 0)
b
0
(/ (* c -2) (+ b (sqrt (+ (* b b) (* (* c a) -4)))))
(* c -2)
c
-2
(+ b (sqrt (+ (* b b) (* (* c a) -4))))
(sqrt (+ (* b b) (* (* c a) -4)))
(+ (* b b) (* (* c a) -4))
(* b b)
(* (* c a) -4)
(* c a)
a
-4
(/ (- (sqrt (+ (* b b) (* (* c a) -4))) b) (* 2 a))
(- (sqrt (+ (* b b) (* (* c a) -4))) b)
(* 2 a)
2

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

localize238.0ms (1.1%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	94.2%	(/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (.f64 #s(literal 2 binary64) a))
✓	accuracy	81.8%	(-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))) b)
✓	accuracy	80.0%	(+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))))
✓	accuracy	58.6%	(sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64))))
✓	accuracy	94.2%	(/.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	81.8%	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
✓	accuracy	80.0%	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))
✓	accuracy	58.6%	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))

Results

103.0ms	110×	2	valid
39.0ms	50×	1	valid
28.0ms	94×	0	valid
2.0ms	2×	3	valid

Compiler

Compiled 287 to 33 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-mult: 27.0ms (25.9% of total)

backward-pass: 23.0ms (22.1% of total)

ival-div: 14.0ms (13.4% of total)

ival-add: 9.0ms (8.6% of total)

ival-sqrt: 9.0ms (8.6% of total)

ival-sub: 8.0ms (7.7% of total)

ival-if: 8.0ms (7.7% of total)

ival-neg: 3.0ms (2.9% of total)

const: 2.0ms (1.9% of total)

ival->=: 2.0ms (1.9% of total)

series77.0ms (0.4%)

Counts

14 → 456

Calls

Call 1

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

Outputs
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))>
#<alt (if (>= b 0) (* 2 (/ c (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)) a)))>
#<alt (if (>= b 0) (* 2 (/ c (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)) a)))>
#<alt (if (>= b 0) (* 2 (/ c (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)) a)))>
#<alt (if (>= b 0) (* 2 (/ c (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) 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))) (* 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 (* -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 (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 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))) (* 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 (* 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 (* (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)>
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#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* -2 b)>
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#<alt (* -2 b)>
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#<alt (* -2 b)>
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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 b>
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#<alt (* 2 b)>
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#<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)))>

Calls

114 calls:

Time	Variable		Point	Expression
23.0ms	c	@	-inf	(if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)))
2.0ms	c	@	inf	(/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))
2.0ms	b	@	0	(- (sqrt (+ (* b b) (* (* c a) -4))) b)
2.0ms	c	@	inf	(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
2.0ms	c	@	inf	(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))

rewrite385.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2942×	`/-lowering-/.f32`
2942×	`/-lowering-/.f64`
2826×	`-lowering-.f32`
2826×	`-lowering-.f64`
1892×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	207
1	167	197
2	1524	197
0	8427	197

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 766

Calls

Call 1

Inputs
(if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)))
(/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
(+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(if (>= b 0) (/ (* c -2) (+ b (sqrt (+ (* b b) (* (* c a) -4))))) (/ (- (sqrt (+ (* b b) (* (* c a) -4))) b) (* 2 a)))
(>= b 0)
(/ (* c -2) (+ b (sqrt (+ (* b b) (* (* c a) -4)))))
(* c -2)
(sqrt (- (* b b) (* (* 4 a) c)))
(- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))
(sqrt (+ (* b b) (* (* c a) -4)))
(+ b (sqrt (+ (* b b) (* (* c a) -4))))
(- (sqrt (+ (* b b) (* (* c a) -4))) b)
(/ (- (sqrt (+ (* b b) (* (* c a) -4))) b) (* 2 a))

Outputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (.f64 #s(literal 2 binary64) a)))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) (*.f64 c #s(literal -2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))))) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))))))
(neg.f64 (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))))
(/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))))
(/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) (.f64 c #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) (.f64 c #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) (.f64 c #s(literal -2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) (.f64 c #s(literal -2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) (.f64 c #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 c #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64))))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) c) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 c #s(literal -2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) c) #s(literal 1 binary64))) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64))))))
(pow.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) (.f64 c #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) (.f64 c #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 2 binary64) (/.f64 c (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))))))
(.f64 c (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))))
(.f64 c (.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64))))))))
(.f64 (.f64 #s(literal 2 binary64) c) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))))))
(.f64 #s(literal -2 binary64) (.f64 c (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64))))))))
(.f64 #s(literal -2 binary64) (/.f64 c (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))))
(.f64 (.f64 c #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))))))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (*.f64 #s(literal 2 binary64) c))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 c #s(literal -2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (*.f64 c #s(literal -2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c #s(literal -2 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 c (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))))) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) c)
(.f64 (/.f64 #s(literal -2 binary64) (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) #s(literal 3/2 binary64)))) (/.f64 c (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (-.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))))))))
(.f64 (/.f64 #s(literal -2 binary64) (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) (/.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b))))
(.f64 (/.f64 #s(literal -2 binary64) (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) (/.f64 c (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))))))
(.f64 (/.f64 (.f64 c #s(literal -2 binary64)) (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64))))))
(.f64 (/.f64 (.f64 c #s(literal -2 binary64)) (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64))))))))
(.f64 (/.f64 c (-.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) #s(literal 3/2 binary64)))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (-.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))))))))
(.f64 (/.f64 c (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b))))
(.f64 (/.f64 c (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) #s(literal 3/2 binary64)))) (+.f64 (.f64 b b) (-.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64))))))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (-.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64))))))))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))) b))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))) b))))
(.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))))))
(.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) c) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) #s(literal 3/2 binary64)))) (/.f64 (.f64 c #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (-.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64))))))))))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) (/.f64 (.f64 c #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))) b))))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) (/.f64 (.f64 #s(literal 2 binary64) c) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64))))))))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) #s(literal 3/2 binary64))))) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 (.f64 b b) (+.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))))))))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))))))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) #s(literal 3/2 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) c) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (-.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64))))))))))
(.f64 (/.f64 #s(literal 2 binary64) (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) #s(literal 3/2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (-.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))))))))
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) (/.f64 c (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b))))
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) (/.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))))))
(.f64 (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 c (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))))))
(.f64 (/.f64 #s(literal 2 binary64) (-.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) #s(literal 3/2 binary64)))) (/.f64 c (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (-.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))))))))
(.f64 (/.f64 #s(literal 2 binary64) (/.f64 (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) #s(literal 3/2 binary64))))) (/.f64 c (+.f64 (.f64 b b) (+.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))))))
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(.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal -2 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a)))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b)) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) a))
(.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) #s(literal 2 binary64)))
(.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) a) #s(literal 1/2 binary64))
(.f64 (/.f64 (-.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b b)) (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) #s(literal 3/2 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (-.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))))))))
(.f64 (/.f64 (-.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b b)) (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))))))
(.f64 (/.f64 (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b))))
(.f64 (/.f64 (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) (-.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) #s(literal 3/2 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (-.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))))))))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))))))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) a) (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) #s(literal 3/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))))))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) a) (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) #s(literal 3/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (+.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))))))))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) a) (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))))))
(.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (neg.f64 a)))
(.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) #s(literal -2 binary64)))
(.f64 (/.f64 (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))))))) a))
(.f64 (/.f64 (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (+.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))))) a))
(.f64 (/.f64 (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) #s(literal 3/2 binary64))) a) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))))))) #s(literal 2 binary64)))
(.f64 (/.f64 (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) #s(literal 3/2 binary64))) a) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (+.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))))) #s(literal 2 binary64)))
(.f64 (/.f64 (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) a))
(.f64 (/.f64 (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) a) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) #s(literal 2 binary64)))
(.f64 (/.f64 (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))))
(.f64 (/.f64 (-.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b b)) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) a))
(.f64 (/.f64 (-.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b b)) a) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) #s(literal 2 binary64)))
(.f64 (/.f64 (/.f64 (-.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b b)) (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (/.f64 (+.f64 (.f64 b b) (-.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))))) a))
(.f64 (/.f64 (/.f64 (-.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b b)) (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) #s(literal 3/2 binary64)))) a) (/.f64 (+.f64 (.f64 b b) (-.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))))) #s(literal 2 binary64)))
(.f64 (/.f64 (/.f64 (-.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b b)) (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) #s(literal 2 binary64)) (/.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) a))
(.f64 (/.f64 (/.f64 (-.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b b)) (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) a) (/.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) #s(literal 2 binary64)))
(.f64 (/.f64 (/.f64 (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) #s(literal 2 binary64)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) a))
(.f64 (/.f64 (/.f64 (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) a) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) #s(literal 2 binary64)))
(.f64 (/.f64 (/.f64 (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) (-.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (/.f64 (+.f64 (.f64 b b) (-.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))))) a))
(.f64 (/.f64 (/.f64 (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) (-.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) #s(literal 3/2 binary64)))) a) (/.f64 (+.f64 (.f64 b b) (-.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))))) #s(literal 2 binary64)))
(.f64 (/.f64 (+.f64 (.f64 b b) (+.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))))) (.f64 #s(literal 2 binary64) a)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (+.f64 (.f64 b b) (+.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))))))))
(.f64 (/.f64 (+.f64 (.f64 b b) (+.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))))) (.f64 #s(literal 2 binary64) a)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (+.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))))))
(.f64 (/.f64 (+.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))))) (.f64 #s(literal 2 binary64) a)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (+.f64 (.f64 b b) (+.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))))))
(.f64 (/.f64 (+.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))))) (.f64 #s(literal 2 binary64) a)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (+.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))))))))
(.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) (.f64 #s(literal 2 binary64) a)) (/.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64))))))))
(.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) (.f64 #s(literal 2 binary64) a)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))))))
(.f64 (/.f64 (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) (/.f64 (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) #s(literal 3/2 binary64))))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 (.f64 b b) (+.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))))))
(.f64 (/.f64 (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) (/.f64 (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))))))

simplify448.0ms (2%)

Algorithm

1×	egg-herbie

Rules

5932×	`-lowering-.f32`
5932×	`-lowering-.f64`
5464×	`+-lowering-+.f64`
5464×	`+-lowering-+.f32`
1238×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	960	11826
1	3474	11566
0	8305	11566

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 456

Calls

Call 1

Inputs
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* 2 (/ c (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)) a)))
(if (>= b 0) (* 2 (/ c (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)) a)))
(if (>= b 0) (* 2 (/ c (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)) a)))
(if (>= b 0) (* 2 (/ c (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) 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))) (* 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)))
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(* -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 (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 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))) (* 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))
(* 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)))))
(* (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))))))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (* 1/2 (/ (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)))
(if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (* 1/2 (/ (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)))
(if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (* 1/2 (/ (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)))
(if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (* 1/2 (/ (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(* -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)))
(* -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 (/ (* 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 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* -2 c)
(* (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))))))))
(* -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 b)
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -2 (/ (* a c) b))
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b))
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b))
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b))
(* -1 (* (sqrt (* a c)) (sqrt -4)))
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* 2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 b)
(- (* 2 (/ (* a c) b)) (* 2 b))
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b))
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b))
(* -1 (* (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 (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* (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))))))))
(* (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))))))
(* (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))))))
(* 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)))

Outputs
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal -2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b)) a))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal -2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b)) a))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal -2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b)) a))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal -2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b)) a))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal -2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b)) a))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal -2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b)) a))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal -2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b)) a))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal -2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b)) a))
(if (>= b 0) (* 2 (/ c (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b)) a))
(if (>= b 0) (* 2 (/ c (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b)) a))
(if (>= b 0) (* 2 (/ c (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b)) a))
(if (>= b 0) (* 2 (/ c (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b)) a))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal -2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b)) a))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal -2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b)) a))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal -2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b)) a))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal -2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b)) a))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal -2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b)) a))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal -2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b)) a))
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b
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b
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b
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b
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(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (.f64 a (.f64 c c)) (*.f64 b b))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/.f64 (-.f64 (-.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 a a) (.f64 c (.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) c) (/.f64 (.f64 a (.f64 c c)) (.f64 b b))) 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)
(/.f64 (+.f64 (-.f64 (-.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 a a) (.f64 c (.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) c) (/.f64 (.f64 a (.f64 c c)) (.f64 b b))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) #s(literal 20 binary64))) (.f64 a (pow.f64 b #s(literal 6 binary64))))) b)
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 a (.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 c (.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(* -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))))))
(.f64 (+.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 a (.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 c (.f64 b b))) (.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 a a) (.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64))))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ c b))
(/.f64 c (-.f64 #s(literal 0 binary64) b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(.f64 c (+.f64 (/.f64 (.f64 #s(literal -1 binary64) (.f64 c a)) (.f64 b (*.f64 b b))) (/.f64 #s(literal -1 binary64) b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(.f64 c (+.f64 (.f64 c (-.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 c (.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 a (.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) 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)))
(.f64 c (+.f64 (.f64 c (-.f64 (.f64 c (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 c (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)))) (.f64 b a)))) (/.f64 a (.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(.f64 c (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) b) (.f64 c a)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))))))
(* 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))))))
(.f64 c (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) b) (.f64 c a)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))))) (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c)))))))))
(* 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)))))))
(.f64 c (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) b) (.f64 c a)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))))) (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 b b) (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 #s(literal -1/16 binary64) (.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (/.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 c a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))))
(* -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)))))
(.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) b) a) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))))) c)))
(* -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)))))
(.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) b) a) (/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (/.f64 c (.f64 a (.f64 a a)))) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64)) (.f64 #s(literal -1/128 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (pow.f64 a #s(literal 5 binary64)))))))) c)) c)))
(* -1 (/ c b))
(/.f64 c (-.f64 #s(literal 0 binary64) b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(-.f64 (/.f64 c (-.f64 #s(literal 0 binary64) b)) (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(-.f64 (.f64 a (-.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 a (.f64 c (.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 c c) (.f64 b (.f64 b b))))) (/.f64 c b))
(+ (* -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)))))))
(-.f64 (.f64 a (-.f64 (.f64 a (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)))) b))) (/.f64 (.f64 c c) (.f64 b (*.f64 b b))))) (/.f64 c b))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) b) a) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) b) a) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (.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 -4 binary64))))))
(+ (* -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))))))
(+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) b) a) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (.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 -4 binary64)))))) (.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) b) a) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(-.f64 (-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))))) 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)))
(-.f64 (-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (.f64 b #s(literal 1/2 binary64)) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))) (.f64 #s(literal 1/128 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 c (.f64 c c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))))) a)) a))

eval265.0ms (1.2%)

Compiler: Compiled 78948 to 3872 computations (95.1% saved)

prune221.0ms (1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	1358	11	1369
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	1359	12	1371

Accuracy

90.6%

Counts

1371 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.3%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (pow.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (.f64 #s(literal 2 binary64) a)))
	67.9%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) b) (*.f64 #s(literal 2 binary64) a)))
▶	60.8%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) a) (/.f64 (.f64 #s(literal 2 binary64) a) b)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b))))
	62.9%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) #s(literal 2 binary64)) a) (.f64 a (/.f64 b #s(literal 2 binary64)))) (.f64 a a)))
	48.3%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (.f64 (-.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))))
▶	71.4%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (-.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a))))
▶	71.3%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b)))
	69.6%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b b)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a)))
✓	71.4%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))) (/.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)))
▶	71.3%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) (.f64 c #s(literal -2 binary64)))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (.f64 #s(literal 2 binary64) a)))
	49.3%	(if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 (.f64 c #s(literal -2 binary64)) (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a)))
▶	71.3%	(if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) c) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (.f64 #s(literal 2 binary64) a)))

Compiler

Compiled 981 to 496 computations (49.4% saved)

simplify237.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	256	(.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) a) (/.f64 (*.f64 #s(literal 2 binary64) a) b))
✓	cost-diff	256	(-.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) a) (/.f64 (*.f64 #s(literal 2 binary64) a) b)) #s(literal 2 binary64))
✓	cost-diff	768	(/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) a) (/.f64 (.f64 #s(literal 2 binary64) a) b)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b)))
✓	cost-diff	768	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) a) (/.f64 (.f64 #s(literal 2 binary64) a) b)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b))))
✓	cost-diff	0	(/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) (.f64 c #s(literal -2 binary64)))
✓	cost-diff	0	(>=.f64 b #s(literal 0 binary64))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) (.f64 c #s(literal -2 binary64))))
✓	cost-diff	128	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) (.f64 c #s(literal -2 binary64)))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (.f64 #s(literal 2 binary64) a)))
✓	cost-diff	0	(*.f64 c #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))))
✓	cost-diff	0	(>=.f64 b #s(literal 0 binary64))
✓	cost-diff	0	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b)))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64))))))
✓	cost-diff	0	(.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) c)
✓	cost-diff	0	(>=.f64 b #s(literal 0 binary64))
✓	cost-diff	0	(if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) c) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (.f64 #s(literal 2 binary64) a)))
✓	cost-diff	0	(/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))))
✓	cost-diff	0	(>=.f64 b #s(literal 0 binary64))
✓	cost-diff	256	(-.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
✓	cost-diff	256	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (-.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a))))

Rules

3764×	`-lowering-.f32`
3764×	`-lowering-.f64`
2356×	`fma-lowering-fma.f32`
2356×	`fma-lowering-fma.f64`
2232×	`fmm-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	730
1	91	728
2	220	728
3	732	720
4	3526	720
5	7100	720
0	8185	720

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(if (>= b 0) (/ (* c -2) (+ b (sqrt (+ (* b b) (* (* c a) -4))))) (- (/ (sqrt (+ (* b b) (* (* c a) -4))) (* 2 a)) (/ b (* 2 a))))
(>= b 0)
b
0
(/ (* c -2) (+ b (sqrt (+ (* b b) (* (* c a) -4)))))
(* c -2)
c
-2
(+ b (sqrt (+ (* b b) (* (* c a) -4))))
(sqrt (+ (* b b) (* (* c a) -4)))
(+ (* b b) (* (* c a) -4))
(* b b)
(* (* c a) -4)
(* c a)
a
-4
(- (/ (sqrt (+ (* b b) (* (* c a) -4))) (* 2 a)) (/ b (* 2 a)))
(/ (sqrt (+ (* b b) (* (* c a) -4))) (* 2 a))
(* 2 a)
2
(/ b (* 2 a))
(if (>= b 0) (* (/ -2 (+ b (sqrt (+ (* b b) (* (* c a) -4))))) c) (/ (- (sqrt (+ (* b b) (* (* c a) -4))) b) (* 2 a)))
(>= b 0)
b
0
(* (/ -2 (+ b (sqrt (+ (* b b) (* (* c a) -4))))) c)
(/ -2 (+ b (sqrt (+ (* b b) (* (* c a) -4)))))
-2
(+ b (sqrt (+ (* b b) (* (* c a) -4))))
(sqrt (+ (* b b) (* (* c a) -4)))
(+ (* b b) (* (* c a) -4))
(* b b)
(* (* c a) -4)
(* c a)
c
a
-4
(/ (- (sqrt (+ (* b b) (* (* c a) -4))) b) (* 2 a))
(- (sqrt (+ (* b b) (* (* c a) -4))) b)
(* 2 a)
2
(if (>= b 0) (/ (* c -2) (+ b (sqrt (+ (* b b) (* (* c a) -4))))) (* (/ 1/2 a) (- (sqrt (+ (* b b) (* (* c a) -4))) b)))
(>= b 0)
b
0
(/ (* c -2) (+ b (sqrt (+ (* b b) (* (* c a) -4)))))
(* c -2)
c
-2
(+ b (sqrt (+ (* b b) (* (* c a) -4))))
(sqrt (+ (* b b) (* (* c a) -4)))
(+ (* b b) (* (* c a) -4))
(* b b)
(* (* c a) -4)
(* c a)
a
-4
(* (/ 1/2 a) (- (sqrt (+ (* b b) (* (* c a) -4))) b))
(/ 1/2 a)
1/2
(- (sqrt (+ (* b b) (* (* c a) -4))) b)
(if (>= b 0) (/ 1 (/ (+ b (sqrt (+ (* b b) (* (* c a) -4)))) (* c -2))) (/ (- (sqrt (+ (* b b) (* (* c a) -4))) b) (* 2 a)))
(>= b 0)
b
0
(/ 1 (/ (+ b (sqrt (+ (* b b) (* (* c a) -4)))) (* c -2)))
1
(/ (+ b (sqrt (+ (* b b) (* (* c a) -4)))) (* c -2))
(+ b (sqrt (+ (* b b) (* (* c a) -4))))
(sqrt (+ (* b b) (* (* c a) -4)))
(+ (* b b) (* (* c a) -4))
(* b b)
(* (* c a) -4)
(* c a)
c
a
-4
(* c -2)
-2
(/ (- (sqrt (+ (* b b) (* (* c a) -4))) b) (* 2 a))
(- (sqrt (+ (* b b) (* (* c a) -4))) b)
(* 2 a)
2
(if (>= b 0) (/ (* c -2) (+ b (sqrt (+ (* b b) (* (* c a) -4))))) (/ (- (* (/ (sqrt (+ (* b b) (* (* c a) -4))) a) (/ (* 2 a) b)) 2) (* 2 (/ (* 2 a) b))))
(>= b 0)
b
0
(/ (* c -2) (+ b (sqrt (+ (* b b) (* (* c a) -4)))))
(* c -2)
c
-2
(+ b (sqrt (+ (* b b) (* (* c a) -4))))
(sqrt (+ (* b b) (* (* c a) -4)))
(+ (* b b) (* (* c a) -4))
(* b b)
(* (* c a) -4)
(* c a)
a
-4
(/ (- (* (/ (sqrt (+ (* b b) (* (* c a) -4))) a) (/ (* 2 a) b)) 2) (* 2 (/ (* 2 a) b)))
(- (* (/ (sqrt (+ (* b b) (* (* c a) -4))) a) (/ (* 2 a) b)) 2)
(* (/ (sqrt (+ (* b b) (* (* c a) -4))) a) (/ (* 2 a) b))
(/ (sqrt (+ (* b b) (* (* c a) -4))) a)
(/ (* 2 a) b)
(* 2 a)
2
(* 2 (/ (* 2 a) b))

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

localize589.0ms (2.7%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	80.2%	(.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) a) (/.f64 (*.f64 #s(literal 2 binary64) a) b))
✓	accuracy	80.0%	(+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))))
✓	accuracy	79.5%	(/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) a) (/.f64 (.f64 #s(literal 2 binary64) a) b)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b)))
✓	accuracy	58.6%	(sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64))))
✓	accuracy	94.2%	(/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (.f64 #s(literal 2 binary64) a))
✓	accuracy	81.8%	(-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))) b)
✓	accuracy	80.0%	(+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))))
✓	accuracy	58.6%	(sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64))))
✓	accuracy	93.9%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b))
✓	accuracy	81.8%	(-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))) b)
✓	accuracy	80.0%	(+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))))
✓	accuracy	58.6%	(sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64))))
✓	accuracy	94.2%	(/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (.f64 #s(literal 2 binary64) a))
✓	accuracy	81.8%	(-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))) b)
✓	accuracy	80.0%	(+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))))
✓	accuracy	58.6%	(sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64))))
✓	accuracy	95.6%	(/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))))
✓	accuracy	80.0%	(+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))))
✓	accuracy	77.0%	(-.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a)))
✓	accuracy	58.6%	(sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64))))

Results

207.0ms	85×	2	valid
119.0ms	58×	1	valid
62.0ms	94×	0	valid
52.0ms	19×	3	valid

Compiler

Compiled 815 to 42 computations (94.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 169.0ms

ival-mult: 53.0ms (31.4% of total)

ival-div: 42.0ms (24.9% of total)

backward-pass: 29.0ms (17.2% of total)

ival-if: 13.0ms (7.7% of total)

ival-sub: 10.0ms (5.9% of total)

ival->=: 8.0ms (4.7% of total)

ival-add: 6.0ms (3.6% of total)

ival-sqrt: 6.0ms (3.6% of total)

const: 2.0ms (1.2% of total)

series85.0ms (0.4%)

Counts

21 → 708

Calls

Call 1

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

Outputs
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (+ (* -1/2 (/ b a)) (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))))))>
#<alt (if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (+ (* -1/2 (/ b a)) (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))))))>
#<alt (if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (+ (* -1/2 (/ b a)) (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))))))>
#<alt (if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (+ (* -1/2 (/ b a)) (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 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 (- (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))) (* 1/2 (/ b (* a c)))))>
#<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))))) (* 1/2 (/ b (* a c)))))>
#<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 (/ (- (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) 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 (- (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (* 1/2 (/ b a)))>
#<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))))) (* 1/2 (/ b a)))>
#<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 (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<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 (* -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)) (* -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 (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
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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 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
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#<alt (* -1 b)>
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#<alt b>
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#<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)))>
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#<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 (* (sqrt (* a c)) (sqrt -4))>
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#<alt (* 2 b)>
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#<alt (* 2 (/ (* a c) b))>
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#<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)>
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#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* 2 b)>
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#<alt (* -2 b)>
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#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
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#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
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#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
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#<alt (* -1 (/ c b))>
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#<alt (* -1 (/ b a))>
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#<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)))))>

Calls

177 calls:

Time	Variable		Point	Expression
19.0ms	a	@	-inf	(* (/ -2 (+ b (sqrt (+ (* b b) (* (* c a) -4))))) c)
7.0ms	c	@	-inf	(/ (+ b (sqrt (+ (* b b) (* (* c a) -4)))) (* c -2))
4.0ms	b	@	inf	(* (/ (sqrt (+ (* b b) (* (* c a) -4))) a) (/ (* 2 a) b))
1.0ms	c	@	-inf	(/ -2 (+ b (sqrt (+ (* b b) (* (* c a) -4)))))
1.0ms	a	@	inf	(/ -2 (+ b (sqrt (+ (* b b) (* (* c a) -4)))))

rewrite547.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3808×	`/-lowering-/.f32`
3808×	`/-lowering-/.f64`
2854×	`-lowering-.f32`
2854×	`-lowering-.f64`
1648×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	375
1	217	375
2	2048	375
0	8756	375

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 1648

Calls

Call 1

Inputs
(if (>= b 0) (/ (* c -2) (+ b (sqrt (+ (* b b) (* (* c a) -4))))) (- (/ (sqrt (+ (* b b) (* (* c a) -4))) (* 2 a)) (/ b (* 2 a))))
(- (/ (sqrt (+ (* b b) (* (* c a) -4))) (* 2 a)) (/ b (* 2 a)))
(>= b 0)
(/ (* c -2) (+ b (sqrt (+ (* b b) (* (* c a) -4)))))
(if (>= b 0) (* (/ -2 (+ b (sqrt (+ (* b b) (* (* c a) -4))))) c) (/ (- (sqrt (+ (* b b) (* (* c a) -4))) b) (* 2 a)))
(* (/ -2 (+ b (sqrt (+ (* b b) (* (* c a) -4))))) c)
(/ -2 (+ b (sqrt (+ (* b b) (* (* c a) -4)))))
(if (>= b 0) (/ (* c -2) (+ b (sqrt (+ (* b b) (* (* c a) -4))))) (* (/ 1/2 a) (- (sqrt (+ (* b b) (* (* c a) -4))) b)))
(* c -2)
(if (>= b 0) (/ 1 (/ (+ b (sqrt (+ (* b b) (* (* c a) -4)))) (* c -2))) (/ (- (sqrt (+ (* b b) (* (* c a) -4))) b) (* 2 a)))
(/ 1 (/ (+ b (sqrt (+ (* b b) (* (* c a) -4)))) (* c -2)))
(/ (+ b (sqrt (+ (* b b) (* (* c a) -4)))) (* c -2))
(if (>= b 0) (/ (* c -2) (+ b (sqrt (+ (* b b) (* (* c a) -4))))) (/ (- (* (/ (sqrt (+ (* b b) (* (* c a) -4))) a) (/ (* 2 a) b)) 2) (* 2 (/ (* 2 a) b))))
(/ (- (* (/ (sqrt (+ (* b b) (* (* c a) -4))) a) (/ (* 2 a) b)) 2) (* 2 (/ (* 2 a) b)))
(- (* (/ (sqrt (+ (* b b) (* (* c a) -4))) a) (/ (* 2 a) b)) 2)
(* (/ (sqrt (+ (* b b) (* (* c a) -4))) a) (/ (* 2 a) b))
(sqrt (+ (* b b) (* (* c a) -4)))
(+ b (sqrt (+ (* b b) (* (* c a) -4))))
(- (sqrt (+ (* b b) (* (* c a) -4))) b)
(/ (- (sqrt (+ (* b b) (* (* c a) -4))) b) (* 2 a))
(* (/ 1/2 a) (- (sqrt (+ (* b b) (* (* c a) -4))) b))

Outputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))) b) (/.f64 a #s(literal 1/2 binary64))))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64))) (/.f64 b (.f64 #s(literal -2 binary64) a)))
(+.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b)))
(+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) b) (/.f64 a #s(literal 1/2 binary64))) (-.f64 (.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) a)) b) (/.f64 b (*.f64 #s(literal -2 binary64) a))))
(+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) b) (/.f64 a #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) a))) (-.f64 #s(literal 0 binary64) b) (/.f64 (/.f64 b #s(literal 2 binary64)) a)))
(+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))) b) (/.f64 a #s(literal 1/2 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/2 binary64) a) (/.f64 (/.f64 b #s(literal 2 binary64)) a)))
(+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))) b) (/.f64 a #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) (/.f64 b #s(literal 2 binary64)) (/.f64 (/.f64 b #s(literal 2 binary64)) a)))
(+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) b) (/.f64 a #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) b)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) a)) (/.f64 (/.f64 b #s(literal 2 binary64)) a)))
(+.f64 (/.f64 b (.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64))))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 1 binary64)))) (fma.f64 (/.f64 b (.f64 #s(literal -2 binary64) a)) #s(literal 1 binary64) (.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 a #s(literal 1/2 binary64))) #s(literal 1 binary64) (neg.f64 (.f64 b (/.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) a))))) (fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) a)) (.f64 b (/.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) a)))))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) a) (/.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) b) (/.f64 (.f64 #s(literal 4 binary64) a) b)) (neg.f64 (.f64 (/.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 2 binary64))) #s(literal 2 binary64) (.f64 (/.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) a) (/.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) b) (/.f64 (.f64 #s(literal 4 binary64) a) b)) (neg.f64 (.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 1 binary64)))) (fma.f64 (/.f64 b (.f64 #s(literal -2 binary64) a)) #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) a) (/.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) b) (/.f64 (.f64 #s(literal 4 binary64) a) b)) (neg.f64 (.f64 b (/.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) a))))) (fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) a)) (.f64 b (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) a)))))
(+.f64 (fma.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) b) (/.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) a) (/.f64 (.f64 #s(literal 4 binary64) a) b)) (neg.f64 (.f64 (/.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 2 binary64))) #s(literal 2 binary64) (.f64 (/.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (fma.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) b) (/.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) a) (/.f64 (.f64 #s(literal 4 binary64) a) b)) (neg.f64 (.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 1 binary64)))) (fma.f64 (/.f64 b (.f64 #s(literal -2 binary64) a)) #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) b) (/.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) a) (/.f64 (.f64 #s(literal 4 binary64) a) b)) (neg.f64 (.f64 b (/.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) a))))) (fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) a)) (.f64 b (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) a)))))
(+.f64 (fma.f64 (.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 (/.f64 a #s(literal 1/2 binary64)) (.f64 b a))) (/.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 2 binary64)) (neg.f64 (.f64 (/.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (fma.f64 (.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 (/.f64 a #s(literal 1/2 binary64)) (.f64 b a))) (/.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 2 binary64)) (neg.f64 (.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 1 binary64)))) (fma.f64 (/.f64 b (.f64 #s(literal -2 binary64) a)) #s(literal 1 binary64) (.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 1 binary64))))
(+.f64 (fma.f64 (.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 (/.f64 a #s(literal 1/2 binary64)) (.f64 b a))) (/.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 2 binary64)) (neg.f64 (.f64 b (/.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) a))))) (fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) a)) (.f64 b (/.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) a)))))
(+.f64 (fma.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) a) (/.f64 (/.f64 a #s(literal 1/2 binary64)) b)) (/.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (neg.f64 (.f64 (/.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (fma.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) a) (/.f64 (/.f64 a #s(literal 1/2 binary64)) b)) (/.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (neg.f64 (.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 1 binary64)))) (fma.f64 (/.f64 b (.f64 #s(literal -2 binary64) a)) #s(literal 1 binary64) (.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) a) (/.f64 (/.f64 a #s(literal 1/2 binary64)) b)) (/.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (neg.f64 (.f64 b (/.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) a))))) (fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) a)) (.f64 b (/.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) a)))))
(+.f64 (fma.f64 (/.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (/.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) a) (/.f64 (/.f64 a #s(literal 1/2 binary64)) b)) (neg.f64 (.f64 (/.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (fma.f64 (/.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (/.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) a) (/.f64 (/.f64 a #s(literal 1/2 binary64)) b)) (neg.f64 (.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 1 binary64)))) (fma.f64 (/.f64 b (.f64 #s(literal -2 binary64) a)) #s(literal 1 binary64) (.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) b) #s(literal 2 binary64)) (/.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) a) (/.f64 (/.f64 a #s(literal 1/2 binary64)) b)) (neg.f64 (.f64 b (/.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) a))))) (fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) a)) (.f64 b (/.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) a)))))
(+.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 (/.f64 a #s(literal 1/2 binary64)) (.f64 b a))) (.f64 #s(literal 4 binary64) a)) b (neg.f64 (.f64 (/.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 2 binary64))) #s(literal 2 binary64) (.f64 (/.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 (/.f64 a #s(literal 1/2 binary64)) (.f64 b a))) (.f64 #s(literal 4 binary64) a)) b (neg.f64 (.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 1 binary64)))) (fma.f64 (/.f64 b (.f64 #s(literal -2 binary64) a)) #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 (/.f64 a #s(literal 1/2 binary64)) (.f64 b a))) (.f64 #s(literal 4 binary64) a)) b (neg.f64 (.f64 b (/.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) a))))) (fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) a)) (.f64 b (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) a)))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (.f64 (/.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 1 binary64)))) (fma.f64 (/.f64 b (.f64 #s(literal -2 binary64) a)) #s(literal 1 binary64) (.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (.f64 b (/.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) a))))) (fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) a)) (.f64 b (/.f64 #s(literal 2 binary64) (.f64 #s(literal 4 binary64) a)))))
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(.f64 (/.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 (/.f64 a #s(literal 1/2 binary64)) (.f64 b a)))))
(.f64 (/.f64 (/.f64 (/.f64 b #s(literal 2 binary64)) a) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 (/.f64 a #s(literal 1/2 binary64)) (.f64 b a))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) b))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) b)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) b) #s(literal 2 binary64)))
(.f64 (/.f64 (-.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 b b)) (.f64 #s(literal 4 binary64) (.f64 a a))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 (/.f64 a #s(literal 1/2 binary64)) (.f64 b a))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 b #s(literal 2 binary64)) a))
(.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) b) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) a))
(.f64 (/.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 (/.f64 a #s(literal 1/2 binary64)) (.f64 b a))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 a #s(literal 1/2 binary64))) b)
(.f64 (/.f64 (+.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 (/.f64 a #s(literal 1/2 binary64)) (.f64 b a)))) (*.f64 #s(literal 4 binary64) a)) b)
(.f64 (-.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 (/.f64 a #s(literal 1/2 binary64)) (.f64 b a))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 b #s(literal 2 binary64)) a))
(.f64 (/.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 (/.f64 a #s(literal 1/2 binary64)) (.f64 b a))) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) a)) (-.f64 #s(literal 0 binary64) b))
(.f64 (pow.f64 (/.f64 (/.f64 (.f64 #s(literal 4 binary64) a) b) (+.f64 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (/.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64))) (.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) #s(literal -8 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) (pow.f64 (/.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) b) a) #s(literal 2 binary64))) (+.f64 #s(literal 4 binary64) (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) a) (/.f64 (.f64 #s(literal 4 binary64) a) b))))))
(.f64 (pow.f64 (/.f64 (/.f64 (.f64 #s(literal 4 binary64) a) b) (+.f64 (.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) (pow.f64 (/.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) b) a) #s(literal 2 binary64))) #s(literal -4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 (/.f64 a #s(literal 1/2 binary64)) (*.f64 b a))))))
(.f64 (pow.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (.f64 b (.f64 b b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 b (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))))))))
(.f64 (pow.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))))

simplify512.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

6116×	`-lowering-.f32`
6116×	`-lowering-.f64`
2934×	`+-lowering-+.f64`
2934×	`+-lowering-+.f32`
1442×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1447	20180
1	5248	19196
0	8240	19196

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 708

Calls

Call 1

Inputs
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))
(if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (+ (* -1/2 (/ b a)) (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))))))
(if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (+ (* -1/2 (/ b a)) (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))))))
(if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (+ (* -1/2 (/ b a)) (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))))))
(if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (+ (* -1/2 (/ b a)) (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))))))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 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 (- (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))) (* 1/2 (/ b (* a c)))))
(* 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))))) (* 1/2 (/ b (* a c)))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) 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))))
(- (+ (* 1/4 (* (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))))) (* 1/2 (/ b a)))
(* -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)))
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(>= b 0)
(* -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)))
(* -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)))))
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(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
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(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
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(* (sqrt (/ c a)) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a))
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(* -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)))))))
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(* -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)))))
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(* -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)))
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(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2)))))
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(* (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 (/ 1 (* a c))) (/ 1 (sqrt -4))))
(+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (* c (pow (sqrt -4) 2))))))
(+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (+ (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2))))))))
(+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* b (+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))) (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4))))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 2))))))))
(/ -1 b)
(/ (- (* -1 (/ (* a c) (pow b 2))) 1) b)
(/ (- (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 1 (/ (* a c) (pow b 2)))) b)
(/ (- (* -1 (/ (+ (* 4 (* (pow a 3) (pow c 3))) (* (pow a 3) (pow c 3))) (pow b 6))) (+ 1 (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (/ (* a c) (pow b 2))))) b)
(* -1 (/ b (* a c)))
(* -1 (* b (- (/ 1 (* a c)) (/ 1 (pow b 2)))))
(* -1 (* b (- (+ (* -1 (/ (+ (* -1 (* a c)) (* 2 (* a c))) (pow b 4))) (/ 1 (* a c))) (/ 1 (pow b 2)))))
(* -1 (* b (- (+ (* -1 (/ (+ (* -2 (* (pow a 2) (pow c 2))) (+ (* -1 (* a (* c (+ (* -1 (* a c)) (* 2 (* a c)))))) (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))))) (pow b 6))) (/ 1 (* a c))) (+ (* -1 (/ (* a c) (pow b 4))) (+ (* 2 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))))))
(/ -1 b)
(- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))
(- (* c (- (* -2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))
(- (* c (- (* c (- (* -1 (* c (+ (* 4 (/ (pow a 3) (pow b 7))) (/ (pow a 3) (pow b 7))))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b))
(* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(/ (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) c)
(/ (- (+ (* -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))))) c)
(/ (- (+ (* -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))))))) c)
(* (sqrt (/ 1 (* a c))) (sqrt -1))
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 1/2 (/ b a))) c))
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* 1/2 (/ (* b c) a))) c))) c))
(* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))))) (* 1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* 1/2 (/ (* b c) a))) c))) c))
(/ -1 b)
(- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))
(- (* a (- (* -2 (/ (* a (pow c 2)) (pow b 5))) (/ c (pow b 3)))) (/ 1 b))
(- (* a (- (* a (- (* -1 (* a (+ (* 4 (/ (pow c 3) (pow b 7))) (/ (pow c 3) (pow b 7))))) (* 2 (/ (pow c 2) (pow b 5))))) (/ c (pow b 3)))) (/ 1 b))
(* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))
(/ (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2))))) a)
(/ (- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))) (* -2 (/ b (* c (pow (sqrt -4) 2))))) a)
(/ (- (+ (* -2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (pow a 3)))) (+ (* -2 (/ b (* c (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))) a)
(* (sqrt (/ 1 (* a c))) (sqrt -1))
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(* (sqrt (/ c a)) (sqrt -1))
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(+ (* -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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(* -1/2 (* (sqrt (/ a c)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (* -1/2 (/ b c)))
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* 1/2 (/ 1 c)))))
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 c)))))
(* -1 (/ b c))
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(* b (- (+ (/ a (pow b 2)) (/ (* (pow a 2) c) (pow b 4))) (/ 1 c)))
(* b (- (+ (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 6))) (+ (/ a (pow b 2)) (/ (* (pow a 2) c) (pow b 4)))) (/ 1 c)))
(* -1 (/ a b))
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(* -1 (/ (+ a (+ (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (/ (* (pow a 2) c) (pow b 2)))) b))
(* -1 (/ (+ a (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow b 6) c))) (+ (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (/ (* (pow a 2) c) (pow b 2))))) b))
(* -1 (/ b c))
(/ (+ (* -1 b) (/ (* a c) b)) c)
(/ (+ (* -1 b) (* c (+ (/ a b) (/ (* (pow a 2) c) (pow b 3))))) c)
(/ (+ (* -1 b) (* c (+ (* c (+ (* 2 (/ (* (pow a 3) c) (pow b 5))) (/ (pow a 2) (pow b 3)))) (/ a b)))) c)
(* -1/2 (* (sqrt (/ a c)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (* -1/2 (/ b c)))
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (/ b c)) (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (/ b c)) (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ a c)) (sqrt -1))
(+ (* -1/2 (/ b c)) (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) c)) (* (sqrt (/ a c)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) (* 1/2 b)) c)) (* (sqrt (/ a c)) (sqrt -1)))
(* -1 (/ b c))
(+ (* -1 (/ b c)) (/ a b))
(+ (* -1 (/ b c)) (* a (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b c)) (* a (+ (* a (+ (* 2 (/ (* a (pow c 2)) (pow b 5))) (/ c (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ a c)) (sqrt -4)))
(* a (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* a (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* a (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ a c)) (sqrt -1))
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b c)) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1))))) a)))))
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b 4) (sqrt -1))))) a)) (* -1/2 (/ b c))) a)))))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) 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)))
(* 2 (* (sqrt (* a c)) (/ (sqrt -4) b)))
(/ (+ (* -2 b) (* 2 (* (sqrt (* a c)) (sqrt -4)))) b)
(/ (+ (* 2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4))) 2))) b)
(/ (+ (* 2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))) 2))) b)
(* -4 (/ (* a c) (pow b 2)))
(/ (+ (* -4 (* a c)) (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) (pow b 2))
(/ (+ (* -8 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -4 (* a c)) (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) (pow b 2))
(/ (+ (* -8 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -4 (* a c)) (+ (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) (pow b 2))
-4
(- (* 4 (/ (* a c) (pow b 2))) 4)
(- (+ (* 4 (/ (* a c) (pow b 2))) (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 4)
(- (+ (* 4 (/ (* a c) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 8 (/ (* (pow a 3) (pow c 3)) (pow b 6))))) 4)
(* -4 (/ (* a c) (pow b 2)))
(* c (+ (* -4 (/ a (pow b 2))) (* -4 (/ (* (pow a 2) c) (pow b 4)))))
(* c (+ (* -4 (/ a (pow b 2))) (* c (+ (* -8 (/ (* (pow a 3) c) (pow b 6))) (* -4 (/ (pow a 2) (pow b 4)))))))
(* c (+ (* -4 (/ a (pow b 2))) (* c (+ (* -4 (/ (pow a 2) (pow b 4))) (* c (+ (* -8 (/ (pow a 3) (pow b 6))) (* -1 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow b 2)))))))))
(* 2 (* (sqrt (* a c)) (/ (sqrt -4) b)))
(* c (- (* 2 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (* 2 (/ 1 c))))
(* c (- (+ (* 2 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* 2 (/ 1 c))))
(* c (- (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4))))) (* 2 (/ 1 c))))
(* -4 (* (sqrt (* a c)) (/ (sqrt -1) b)))
(* -1 (* c (+ (* 4 (* (sqrt (/ a c)) (/ (sqrt -1) b))) (* 2 (/ 1 c)))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1)))) 2) c)) (* 4 (* (sqrt (/ a c)) (/ (sqrt -1) b))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 3) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (sqrt -1))))) c)) 2) c)) (* 4 (* (sqrt (/ a c)) (/ (sqrt -1) b))))))
(* -4 (/ (* a c) (pow b 2)))
(* a (+ (* -4 (/ c (pow b 2))) (* -4 (/ (* a (pow c 2)) (pow b 4)))))
(* a (+ (* -4 (/ c (pow b 2))) (* a (+ (* -8 (/ (* a (pow c 3)) (pow b 6))) (* -4 (/ (pow c 2) (pow b 4)))))))
(* a (+ (* -4 (/ c (pow b 2))) (* a (+ (* -4 (/ (pow c 2) (pow b 4))) (* a (+ (* -8 (/ (pow c 3) (pow b 6))) (* -1 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow b 2)))))))))
(* 2 (* (sqrt (* a c)) (/ (sqrt -4) b)))
(* a (- (* 2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 2 (/ 1 a))))
(* a (- (+ (* 2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 2 (/ 1 a))))
(* a (- (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4))))) (* 2 (/ 1 a))))
(* -4 (* (sqrt (* a c)) (/ (sqrt -1) b)))
(* -1 (* a (+ (* 4 (* (sqrt (/ c a)) (/ (sqrt -1) b))) (* 2 (/ 1 a)))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1)))) 2) a)) (* 4 (* (sqrt (/ c a)) (/ (sqrt -1) b))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 3) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (sqrt -1))))) a)) 2) a)) (* 4 (* (sqrt (/ c a)) (/ (sqrt -1) b))))))
(* 2 (* (sqrt (* a c)) (/ (sqrt -4) b)))
(/ (+ (* 2 (* (sqrt (* a c)) (sqrt -4))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) b)
(/ (+ (* 2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) b)
(/ (+ (* 2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) b)
2
(+ 2 (* -4 (/ (* a c) (pow b 2))))
(+ 2 (+ (* -4 (/ (* a c) (pow b 2))) (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))
(+ 2 (+ (* -8 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -4 (/ (* a c) (pow b 2))) (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
-2
(- (* 4 (/ (* a c) (pow b 2))) 2)
(- (+ (* 4 (/ (* a c) (pow b 2))) (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 2)
(- (+ (* 4 (/ (* a c) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 8 (/ (* (pow a 3) (pow c 3)) (pow b 6))))) 2)
2
(+ 2 (* -4 (/ (* a c) (pow b 2))))
(+ 2 (* c (+ (* -4 (/ a (pow b 2))) (* -4 (/ (* (pow a 2) c) (pow b 4))))))
(+ 2 (* c (+ (* -4 (/ a (pow b 2))) (* c (+ (* -8 (/ (* (pow a 3) c) (pow b 6))) (* -4 (/ (pow a 2) (pow b 4))))))))
(* 2 (* (sqrt (* a c)) (/ (sqrt -4) b)))
(* c (+ (* 2 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))))
(* c (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4))))))
(* c (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 5) (pow (sqrt -4) 5)))) (+ (* 2 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))))))
(* -4 (* (sqrt (* a c)) (/ (sqrt -1) b)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 4 (* (sqrt (/ a c)) (/ (sqrt -1) b))))))
(* -1 (* c (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 4 (* (sqrt (/ a c)) (/ (sqrt -1) b)))))))
(* -1 (* c (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/256 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 4 (* (sqrt (/ a c)) (/ (sqrt -1) b))))))))
2
(+ 2 (* -4 (/ (* a c) (pow b 2))))
(+ 2 (* a (+ (* -4 (/ c (pow b 2))) (* -4 (/ (* a (pow c 2)) (pow b 4))))))
(+ 2 (* a (+ (* -4 (/ c (pow b 2))) (* a (+ (* -8 (/ (* a (pow c 3)) (pow b 6))) (* -4 (/ (pow c 2) (pow b 4))))))))
(* 2 (* (sqrt (* a c)) (/ (sqrt -4) b)))
(* a (+ (* 2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))))
(* a (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4))))))
(* a (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 5)))) (+ (* 2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))))))
(* -4 (* (sqrt (* a c)) (/ (sqrt -1) b)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 4 (* (sqrt (/ c a)) (/ (sqrt -1) b))))))
(* -1 (* a (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 4 (* (sqrt (/ c a)) (/ (sqrt -1) b)))))))
(* -1 (* a (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/256 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 4 (* (sqrt (/ c a)) (/ (sqrt -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 (* 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))
(+ 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))))))
(* (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))))))
(* 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)))
(* -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)))))

Outputs
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (- (* 1/2 (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* 1/2 (/ b a))))
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#s(literal -2 binary64)
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2
#s(literal 2 binary64)
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2
#s(literal 2 binary64)
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(* -4 (* (sqrt (* a c)) (/ (sqrt -1) b)))
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(* (sqrt (* a c)) (sqrt -4))
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b
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(* -1 b)
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b
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(* (sqrt (* a c)) (sqrt -4))
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(* 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))))))
(.f64 c (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (.f64 c a)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (.f64 c (.f64 c c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))))))))
(* 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)))))))
(.f64 c (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) (.f64 c a)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (.f64 c (.f64 c c)))) (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64)))))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (/.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 c a)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)))))
(* -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)))))
(.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) a) (.f64 #s(literal -1/8 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))))) c)))
(* -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)))))
(.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) a) (/.f64 (+.f64 (.f64 #s(literal -1/128 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (pow.f64 a #s(literal 5 binary64))))) (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c (.f64 a (.f64 a a))))))) c)) c)))

eval706.0ms (3.2%)

Compiler: Compiled 210785 to 6943 computations (96.7% saved)

prune921.0ms (4.2%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	3852	6	3858
Fresh	2	4	6
Picked	2	3	5
Done	1	0	1
Total	3857	13	3870

Accuracy

90.6%

Counts

3870 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.3%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 #s(literal -1/2 binary64) c)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a)))
	38.7%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (/.f64 (-.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 b b)) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) b))) (/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) a) (/.f64 (.f64 #s(literal 2 binary64) a) b)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b))))
▶	60.8%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) b) (/.f64 a (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b))))
	67.9%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) b) (*.f64 #s(literal 2 binary64) a)))
	62.9%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) #s(literal 2 binary64)) a) (.f64 a (/.f64 b #s(literal 2 binary64)))) (.f64 a a)))
✓	71.4%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (-.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a))))
▶	67.7%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
✓	71.3%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b)))
▶	71.4%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (.f64 #s(literal 2 binary64) a)))
	69.6%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b b)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a)))
▶	69.6%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (.f64 #s(literal 2 binary64) a)))
	49.3%	(if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 (.f64 c #s(literal -2 binary64)) (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a)))
✓	71.3%	(if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) c) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (.f64 #s(literal 2 binary64) a)))

Compiler

Compiled 965 to 541 computations (43.9% saved)

simplify347.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	256	(/.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) b) (/.f64 a (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64)))))))
✓	cost-diff	256	(-.f64 (/.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) b) (/.f64 a (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal 2 binary64))
✓	cost-diff	768	(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) b) (/.f64 a (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b)))
✓	cost-diff	768	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) b) (/.f64 a (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64)))))))
✓	cost-diff	0	(>=.f64 b #s(literal 0 binary64))
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 #s(literal -1/2 binary64) c))
✓	cost-diff	128	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 #s(literal -1/2 binary64) c)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a)))
✓	cost-diff	0	(>=.f64 b #s(literal 0 binary64))
✓	cost-diff	0	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
✓	cost-diff	128	(-.f64 (-.f64 #s(literal 0 binary64) b) b)
✓	cost-diff	256	(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b))
✓	cost-diff	0	(-.f64 (/.f64 a b) (/.f64 b c))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c)))
✓	cost-diff	0	(>=.f64 b #s(literal 0 binary64))
✓	cost-diff	0	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (.f64 #s(literal 2 binary64) a)))
✓	cost-diff	0	(*.f64 c #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))))))
✓	cost-diff	0	(>=.f64 b #s(literal 0 binary64))
✓	cost-diff	0	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (.f64 #s(literal 2 binary64) a)))

Rules

3622×	`-lowering-.f32`
3622×	`-lowering-.f64`
2368×	`/-lowering-/.f32`
2368×	`/-lowering-/.f64`
1344×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	761
1	112	758
2	256	753
3	712	741
4	2687	741
5	7596	741
0	8173	741

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(if (>= b 0) (/ (* c -2) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/ (- (sqrt (+ (* b b) (* (* c a) -4))) b) (* 2 a)))
(>= b 0)
b
0
(/ (* c -2) (+ b (sqrt (+ (* b b) (* c (* a -4))))))
(* c -2)
c
-2
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* b b)
(* c (* a -4))
(* a -4)
a
-4
(/ (- (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))
(* (* c a) -4)
(* c a)
(* 2 a)
2
(if (>= b 0) (/ 1 (- (/ a b) (/ b c))) (/ (- (sqrt (+ (* b b) (* (* c a) -4))) b) (* 2 a)))
(>= b 0)
b
0
(/ 1 (- (/ a b) (/ b c)))
1
(- (/ a b) (/ b c))
(/ a b)
a
(/ 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))
(* b b)
(* (* c a) -4)
(* c a)
-4
(* 2 a)
2
(if (>= b 0) (/ (* c -2) (+ b (sqrt (+ (* b b) (* (* c a) -4))))) (* (/ 1/2 a) (- (- 0 b) b)))
(>= b 0)
b
0
(/ (* c -2) (+ b (sqrt (+ (* b b) (* (* c a) -4)))))
(* c -2)
c
-2
(+ b (sqrt (+ (* b b) (* (* c a) -4))))
(sqrt (+ (* b b) (* (* c a) -4)))
(+ (* b b) (* (* c a) -4))
(* b b)
(* (* c a) -4)
(* c a)
a
-4
(* (/ 1/2 a) (- (- 0 b) b))
(/ 1/2 a)
1/2
(- (- 0 b) b)
(- 0 b)
(if (>= b 0) (/ (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/ -1/2 c)) (/ (- (sqrt (+ (* b b) (* (* c a) -4))) b) (* 2 a)))
(>= b 0)
b
0
(/ (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/ -1/2 c))
(/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4))))))
1
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* b b)
(* c (* a -4))
c
(* a -4)
a
-4
(/ -1/2 c)
-1/2
(/ (- (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))
(* (* c a) -4)
(* c a)
(* 2 a)
2
(if (>= b 0) (/ (* c -2) (+ b (sqrt (+ (* b b) (* (* c a) -4))))) (/ (- (/ (/ (/ a 1/2) b) (/ a (sqrt (+ (* b b) (* c (* a -4)))))) 2) (* 2 (/ (* 2 a) b))))
(>= b 0)
b
0
(/ (* c -2) (+ b (sqrt (+ (* b b) (* (* c a) -4)))))
(* c -2)
c
-2
(+ b (sqrt (+ (* b b) (* (* c a) -4))))
(sqrt (+ (* b b) (* (* c a) -4)))
(+ (* b b) (* (* c a) -4))
(* b b)
(* (* c a) -4)
(* c a)
a
-4
(/ (- (/ (/ (/ a 1/2) b) (/ a (sqrt (+ (* b b) (* c (* a -4)))))) 2) (* 2 (/ (* 2 a) b)))
(- (/ (/ (/ a 1/2) b) (/ a (sqrt (+ (* b b) (* c (* a -4)))))) 2)
(/ (/ (/ a 1/2) b) (/ a (sqrt (+ (* b b) (* c (* a -4))))))
(/ (/ a 1/2) b)
(/ a 1/2)
1/2
(/ a (sqrt (+ (* b b) (* c (* a -4)))))
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* c (* a -4))
(* a -4)
2
(* 2 (/ (* 2 a) b))
(/ (* 2 a) b)
(* 2 a)

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

localize586.0ms (2.7%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	80.0%	(+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))))
✓	accuracy	79.5%	(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) b) (/.f64 a (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b)))
✓	accuracy	58.6%	(sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64)))))
✓	accuracy	58.6%	(sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64))))
✓	accuracy	81.8%	(-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))) b)
✓	accuracy	80.0%	(+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))))
✓	accuracy	58.6%	(sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64)))))
✓	accuracy	58.6%	(sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64))))
✓	accuracy	98.1%	(+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))
✓	accuracy	95.6%	(/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))))
✓	accuracy	80.0%	(+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))))
✓	accuracy	58.6%	(sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64))))
✓	accuracy	98.1%	(+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))
✓	accuracy	94.2%	(/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (.f64 #s(literal 2 binary64) a))
✓	accuracy	81.8%	(-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))) b)
✓	accuracy	58.6%	(sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64))))
✓	accuracy	81.8%	(-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64)))) b)
✓	accuracy	80.0%	(+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))))
✓	accuracy	58.6%	(sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64)))))
✓	accuracy	58.6%	(sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 c a) #s(literal -4 binary64))))

Results

194.0ms	95×	2	valid
79.0ms	18×	3	valid
76.0ms	49×	1	valid
60.0ms	94×	0	valid

Compiler

Compiled 843 to 53 computations (93.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 214.0ms

ival-div: 76.0ms (35.6% of total)

ival-mult: 46.0ms (21.5% of total)

backward-pass: 38.0ms (17.8% of total)

ival-add: 14.0ms (6.6% of total)

ival-if: 13.0ms (6.1% of total)

ival-sub: 13.0ms (6.1% of total)

ival-sqrt: 10.0ms (4.7% of total)

ival->=: 3.0ms (1.4% of total)

const: 2.0ms (0.9% of total)

series54.0ms (0.2%)

Counts

25 → 816

Calls

Call 1

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

Outputs
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (* 1/2 (/ (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)))>
#<alt (if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (* 1/2 (/ (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)))>
#<alt (if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (* 1/2 (/ (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)))>
#<alt (if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (* 1/2 (/ (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<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)))))>
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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 (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
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#<alt (* (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)))) (+ (* 1/2 (* (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)))>
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#<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 (* (sqrt (* a c)) (sqrt -4))>
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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 (* (sqrt (* a c)) (sqrt -4))>
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#<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>
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#<alt (* -1 b)>
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#<alt b>
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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)))) (+ (* 1/512 (* (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))))))>
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#<alt (* 2 b)>
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#<alt (* 2 b)>
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#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
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#<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 (* -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 (* (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 (* -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 (* -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)) (* -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))>

Calls

204 calls:

Time	Variable		Point	Expression
4.0ms	c	@	0	(/ 1 (- (/ a b) (/ b c)))
3.0ms	a	@	inf	(/ 1 (- (/ a b) (/ b c)))
2.0ms	a	@	0	(- (sqrt (+ (* b b) (* (* c a) -4))) b)
1.0ms	c	@	inf	(/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4))))))
1.0ms	c	@	-inf	(/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4))))))

rewrite436.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

3332×	`/-lowering-/.f32`
3332×	`/-lowering-/.f64`
2454×	`-lowering-.f32`
2454×	`-lowering-.f64`
1744×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	395
1	327	388
2	2691	377
0	10055	377

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 1034

Calls

Call 1

Inputs
(if (>= b 0) (/ (* c -2) (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/ (- (sqrt (+ (* b b) (* (* c a) -4))) b) (* 2 a)))
(>= b 0)
(/ (* c -2) (+ b (sqrt (+ (* b b) (* c (* a -4))))))
(* c -2)
(if (>= b 0) (/ 1 (- (/ a b) (/ b c))) (/ (- (sqrt (+ (* b b) (* (* c a) -4))) b) (* 2 a)))
(/ 1 (- (/ a b) (/ b c)))
(- (/ a b) (/ b c))
(* (/ 1/2 a) (- (- 0 b) b))
(- (- 0 b) b)
(if (>= b 0) (/ (* c -2) (+ b (sqrt (+ (* b b) (* (* c a) -4))))) (* (/ 1/2 a) (- (- 0 b) b)))
(if (>= b 0) (/ (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/ -1/2 c)) (/ (- (sqrt (+ (* b b) (* (* c a) -4))) b) (* 2 a)))
(/ (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/ -1/2 c))
(/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4))))))
(if (>= b 0) (/ (* c -2) (+ b (sqrt (+ (* b b) (* (* c a) -4))))) (/ (- (/ (/ (/ a 1/2) b) (/ a (sqrt (+ (* b b) (* c (* a -4)))))) 2) (* 2 (/ (* 2 a) b))))
(/ (- (/ (/ (/ a 1/2) b) (/ a (sqrt (+ (* b b) (* c (* a -4)))))) 2) (* 2 (/ (* 2 a) b)))
(- (/ (/ (/ a 1/2) b) (/ a (sqrt (+ (* b b) (* c (* a -4)))))) 2)
(/ (/ (/ a 1/2) b) (/ a (sqrt (+ (* b b) (* c (* a -4))))))
(sqrt (+ (* b b) (* (* c a) -4)))
(sqrt (+ (* b b) (* c (* a -4))))
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
(- (sqrt (+ (* b b) (* (* c a) -4))) b)
(/ (- (sqrt (+ (* b b) (* (* c a) -4))) b) (* 2 a))
(+ (* b b) (* (* c a) -4))
(+ b (sqrt (+ (* b b) (* (* c a) -4))))
(/ (* c -2) (+ b (sqrt (+ (* b b) (* (* c a) -4)))))

Outputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a)))))) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a))))) (/.f64 a #s(literal 1/2 binary64))))
(>=.f64 b #s(literal 0 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))) (/.f64 c #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a)))))) (/.f64 #s(literal 1/2 binary64) c)))
(neg.f64 (/.f64 (/.f64 c #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a)))))))
(neg.f64 (/.f64 (.f64 c #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a))))) (/.f64 c #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a))))) (/.f64 c #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))) (/.f64 #s(literal -1/2 binary64) c))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a))))) (/.f64 c #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 #s(literal -1/2 binary64) c) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a)))))) (/.f64 #s(literal -1/2 binary64) c))
(/.f64 #s(literal -1 binary64) (.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))) (/.f64 #s(literal -1/2 binary64) c)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a))))) (/.f64 c #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1/2 binary64) c) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a))))) (/.f64 c #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (.f64 c #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))))
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(/.f64 (neg.f64 (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))) (-.f64 (.f64 b b) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a)))))))))
(/.f64 (neg.f64 (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))) #s(literal 3/2 binary64)))) (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (+.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))))))))
(/.f64 (neg.f64 (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))) (neg.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a)))))))
(/.f64 (neg.f64 (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))) (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))))))
(/.f64 (neg.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a)))))) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))) (.f64 b b)))) (neg.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))) (.f64 b (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (+.f64 (.f64 b b) (+.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a))))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a)))))) (neg.f64 (neg.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a))))))))
(pow.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a))))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))) (.f64 b (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))))) (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))) #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))) (+.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))) (*.f64 b b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 b b) (+.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))))) (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a))) #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))) (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a))))) #s(literal -1 binary64))
(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))) #s(literal 1 binary64))
(.f64 (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))) (.f64 b (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a)))))))))
(.f64 (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (+.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a)))))))))
(.f64 (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a)))) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a)))))))
(.f64 (+.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))) (.f64 b b)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a)))))))
(.f64 (/.f64 (+.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))) (.f64 b b)) (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))) #s(literal 3/2 binary64)))) (+.f64 (.f64 b b) (+.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))))))
(.f64 (/.f64 (+.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))) (.f64 b b)) (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))) (/.f64 c #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a)))))) (/.f64 #s(literal 1/2 binary64) c)))
(neg.f64 (/.f64 (/.f64 c #s(literal -1/2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a)))))))
(neg.f64 (/.f64 (.f64 c #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a))))) (/.f64 c #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a))))) (/.f64 c #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))) (/.f64 #s(literal -1/2 binary64) c))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a))))) (/.f64 c #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 #s(literal -1/2 binary64) c) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a)))))) (/.f64 #s(literal -1/2 binary64) c))
(/.f64 #s(literal -1 binary64) (.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))) (/.f64 #s(literal -1/2 binary64) c)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a))))) (/.f64 c #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1/2 binary64) c) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a))))) (/.f64 c #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(/.f64 (.f64 c #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a)))))) (/.f64 #s(literal 1/2 binary64) c))
(/.f64 (/.f64 c #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a))))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))))) (/.f64 #s(literal 1 binary64) c))
(/.f64 (neg.f64 (.f64 c #s(literal 2 binary64))) (neg.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a)))))))
(/.f64 (.f64 (/.f64 c #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))))
(/.f64 (.f64 (/.f64 c #s(literal -1/2 binary64)) #s(literal -1 binary64)) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a)))))) c) #s(literal -1/2 binary64))
(/.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a)))))) c)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a)))))))) (neg.f64 (/.f64 #s(literal 1 binary64) c)))
(/.f64 (neg.f64 (neg.f64 (.f64 c #s(literal 2 binary64)))) (neg.f64 (neg.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))))))
(/.f64 (neg.f64 (.f64 (/.f64 c #s(literal -1/2 binary64)) #s(literal 1 binary64))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))))
(/.f64 (neg.f64 (.f64 (/.f64 c #s(literal -1/2 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a)))))))
(pow.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a))))) (/.f64 c #s(literal -1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a))))) (/.f64 c #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 c (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a))))))))
(.f64 c (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a)))))))
(.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a)))))) (/.f64 #s(literal 1 binary64) c)))
(.f64 #s(literal -2 binary64) (.f64 c (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a))))))))
(.f64 #s(literal -2 binary64) (/.f64 c (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a)))))))
(.f64 #s(literal -2 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))))) #s(literal -1 binary64)))
(.f64 #s(literal -2 binary64) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a)))))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 c #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a)))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a)))))) (/.f64 c #s(literal -1/2 binary64)))
(.f64 (.f64 c #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a)))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) c)))
(.f64 (/.f64 c #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a)))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a))))))) c)
(.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a)))))) c)
(.f64 (.f64 (/.f64 c #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a)))))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a)))))) #s(literal 1 binary64)) (/.f64 c #s(literal -1/2 binary64)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a)))))) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) c))
(.f64 (/.f64 (/.f64 c #s(literal -1/2 binary64)) (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))) #s(literal 3/2 binary64)))) (+.f64 (.f64 b b) (+.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))))))
(.f64 (/.f64 (/.f64 c #s(literal -1/2 binary64)) (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))))
(.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) c) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a)))))))

simplify491.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

6336×	`-lowering-.f32`
6336×	`-lowering-.f64`
2738×	`+-lowering-+.f64`
2738×	`+-lowering-+.f32`
1542×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1491	19842
1	5391	19335
0	8147	19335

Stop Event

1×	iter limit
1×	node limit

Counts

816 → 816

Calls

Call 1

Inputs
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (* 1/2 (/ (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)))
(if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (* 1/2 (/ (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)))
(if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (* 1/2 (/ (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)))
(if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (* 1/2 (/ (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
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(* 1/2 (/ b (* a c)))
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(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))
(/ (+ (* -1 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (/ b (* a (pow (sqrt -4) 2)))) c)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (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))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (* a (pow (sqrt -4) 2)))))) c)
(* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
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(+ (* a (- (/ (* a (pow c 2)) (pow b 5)) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b)))
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(* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))
(/ (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) a)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (/ b (* c (pow (sqrt -4) 2)))) a)
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (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))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (* c (pow (sqrt -4) 2)))))) a)
(* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))
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(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
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(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
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(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) a)))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/4 (/ (* b (- (* 2 (* (/ 1 b) (sqrt (+ (* -4 (* a c)) (pow b 2))))) 2)) 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)))
(* 1/2 (* (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)))))
(* -4 (/ (* a c) (pow b 2)))
(* a (+ (* -4 (/ c (pow b 2))) (* -4 (/ (* a (pow c 2)) (pow b 4)))))
(* a (+ (* -4 (/ c (pow b 2))) (* a (+ (* -8 (/ (* a (pow c 3)) (pow b 6))) (* -4 (/ (pow c 2) (pow b 4)))))))
(* a (+ (* -4 (/ c (pow b 2))) (* a (+ (* -4 (/ (pow c 2) (pow b 4))) (* a (+ (* -8 (/ (pow c 3) (pow b 6))) (* -1 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow b 2)))))))))
(* 2 (* (sqrt (* a c)) (/ (sqrt -4) b)))
(* a (- (* 2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 2 (/ 1 a))))
(* a (- (+ (* 2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 2 (/ 1 a))))
(* a (- (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4))))) (* 2 (/ 1 a))))
(* -4 (* (sqrt (* a c)) (/ (sqrt -1) b)))
(* -1 (* a (+ (* 4 (* (sqrt (/ c a)) (/ (sqrt -1) b))) (* 2 (/ 1 a)))))
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1)))) 2) a)) (* 4 (* (sqrt (/ c a)) (/ (sqrt -1) b))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 3) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (sqrt -1))))) a)) 2) a)) (* 4 (* (sqrt (/ c a)) (/ (sqrt -1) b))))))
(* 2 (* (sqrt (* a c)) (/ (sqrt -4) b)))
(/ (+ (* -2 b) (* 2 (* (sqrt (* a c)) (sqrt -4)))) b)
(/ (+ (* 2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4))) 2))) b)
(/ (+ (* 2 (* (sqrt (* a c)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))) 2))) b)
(* -4 (/ (* a c) (pow b 2)))
(/ (+ (* -4 (* a c)) (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) (pow b 2))
(/ (+ (* -8 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -4 (* a c)) (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) (pow b 2))
(/ (+ (* -8 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -4 (* a c)) (+ (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) (pow b 2))
-4
(- (* 4 (/ (* a c) (pow b 2))) 4)
(- (+ (* 4 (/ (* a c) (pow b 2))) (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 4)
(- (+ (* 4 (/ (* a c) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 8 (/ (* (pow a 3) (pow c 3)) (pow b 6))))) 4)
(* -4 (/ (* a c) (pow b 2)))
(* c (+ (* -4 (/ a (pow b 2))) (* -4 (/ (* (pow a 2) c) (pow b 4)))))
(* c (+ (* -4 (/ a (pow b 2))) (* c (+ (* -8 (/ (* (pow a 3) c) (pow b 6))) (* -4 (/ (pow a 2) (pow b 4)))))))
(* c (+ (* -4 (/ a (pow b 2))) (* c (+ (* -4 (/ (pow a 2) (pow b 4))) (* c (+ (* -8 (/ (pow a 3) (pow b 6))) (* -1 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow b 2)))))))))
(* 2 (* (sqrt (* a c)) (/ (sqrt -4) b)))
(* c (- (* 2 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (* 2 (/ 1 c))))
(* c (- (+ (* 2 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* 2 (/ 1 c))))
(* c (- (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4))))) (* 2 (/ 1 c))))
(* -4 (* (sqrt (* a c)) (/ (sqrt -1) b)))
(* -1 (* c (+ (* 4 (* (sqrt (/ a c)) (/ (sqrt -1) b))) (* 2 (/ 1 c)))))
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1)))) 2) c)) (* 4 (* (sqrt (/ a c)) (/ (sqrt -1) b))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 3) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (sqrt -1))))) c)) 2) c)) (* 4 (* (sqrt (/ a c)) (/ (sqrt -1) b))))))
2
(+ 2 (* -4 (/ (* a c) (pow b 2))))
(+ 2 (* a (+ (* -4 (/ c (pow b 2))) (* -4 (/ (* a (pow c 2)) (pow b 4))))))
(+ 2 (* a (+ (* -4 (/ c (pow b 2))) (* a (+ (* -8 (/ (* a (pow c 3)) (pow b 6))) (* -4 (/ (pow c 2) (pow b 4))))))))
(* 2 (* (sqrt (* a c)) (/ (sqrt -4) b)))
(* a (+ (* 2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))))
(* a (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4))))))
(* a (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 5)))) (+ (* 2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))))))
(* -4 (* (sqrt (* a c)) (/ (sqrt -1) b)))
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 4 (* (sqrt (/ c a)) (/ (sqrt -1) b))))))
(* -1 (* a (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 4 (* (sqrt (/ c a)) (/ (sqrt -1) b)))))))
(* -1 (* a (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/256 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 4 (* (sqrt (/ c a)) (/ (sqrt -1) b))))))))
(* 2 (* (sqrt (* a c)) (/ (sqrt -4) b)))
(/ (+ (* 2 (* (sqrt (* a c)) (sqrt -4))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) b)
(/ (+ (* 2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) b)
(/ (+ (* 2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) b)
2
(+ 2 (* -4 (/ (* a c) (pow b 2))))
(+ 2 (+ (* -4 (/ (* a c) (pow b 2))) (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))
(+ 2 (+ (* -8 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -4 (/ (* a c) (pow b 2))) (* -4 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
-2
(- (* 4 (/ (* a c) (pow b 2))) 2)
(- (+ (* 4 (/ (* a c) (pow b 2))) (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 2)
(- (+ (* 4 (/ (* a c) (pow b 2))) (+ (* 4 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 8 (/ (* (pow a 3) (pow c 3)) (pow b 6))))) 2)
2
(+ 2 (* -4 (/ (* a c) (pow b 2))))
(+ 2 (* c (+ (* -4 (/ a (pow b 2))) (* -4 (/ (* (pow a 2) c) (pow b 4))))))
(+ 2 (* c (+ (* -4 (/ a (pow b 2))) (* c (+ (* -8 (/ (* (pow a 3) c) (pow b 6))) (* -4 (/ (pow a 2) (pow b 4))))))))
(* 2 (* (sqrt (* a c)) (/ (sqrt -4) b)))
(* c (+ (* 2 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))))
(* c (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4))))))
(* c (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 5) (pow (sqrt -4) 5)))) (+ (* 2 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))))))
(* -4 (* (sqrt (* a c)) (/ (sqrt -1) b)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 4 (* (sqrt (/ a c)) (/ (sqrt -1) b))))))
(* -1 (* c (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 4 (* (sqrt (/ a c)) (/ (sqrt -1) b)))))))
(* -1 (* c (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/256 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 4 (* (sqrt (/ a c)) (/ (sqrt -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 (* 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))))))))
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))
(+ 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))))))
(* (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))))))
(* 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)))
(* -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))))
(* (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))))))
(* -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)))
(* -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 (/ (* 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))

Outputs
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal -2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))) b)) a))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal -2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))) b)) a))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal -2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))) b)) a))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal -2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))) b)) a))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal -2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))) b)) a))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal -2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))) b)) a))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal -2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))) b)) a))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal -2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))) b)) a))
(if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (* 1/2 (/ (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal -2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))) b)) a))
(if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (* 1/2 (/ (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal -2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))) b)) a))
(if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (* 1/2 (/ (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal -2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))) b)) a))
(if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (* 1/2 (/ (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal -2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))) b)) a))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal -2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))) b)) a))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal -2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))) b)) a))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal -2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))) b)) a))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal -2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))) b)) a))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal -2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))) b)) a))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal -2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))) b)) a))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal -2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))) b)) a))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal -2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))) b)) a))
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal -2 binary64) c) (+.f64 b (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))))) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (.f64 b b))) b)) a))
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2
#s(literal 2 binary64)
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#s(literal -2 binary64)
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#s(literal 2 binary64)
(+ 2 (* -4 (/ (* a c) (pow b 2))))
(+.f64 #s(literal 2 binary64) (.f64 #s(literal -4 binary64) (.f64 a (/.f64 c (*.f64 b b)))))
(+ 2 (* c (+ (* -4 (/ a (pow b 2))) (* -4 (/ (* (pow a 2) c) (pow b 4))))))
(+.f64 #s(literal 2 binary64) (.f64 c (.f64 #s(literal -4 binary64) (+.f64 (/.f64 a (.f64 b b)) (/.f64 (.f64 c (*.f64 a a)) (pow.f64 b #s(literal 4 binary64)))))))
(+ 2 (* c (+ (* -4 (/ a (pow b 2))) (* c (+ (* -8 (/ (* (pow a 3) c) (pow b 6))) (* -4 (/ (pow a 2) (pow b 4))))))))
(+.f64 #s(literal 2 binary64) (.f64 c (+.f64 (/.f64 (.f64 #s(literal -4 binary64) a) (.f64 b b)) (.f64 c (+.f64 (/.f64 (.f64 #s(literal -8 binary64) (.f64 c (.f64 a (.f64 a a)))) (pow.f64 b #s(literal 6 binary64))) (/.f64 (.f64 #s(literal -4 binary64) (.f64 a a)) (pow.f64 b #s(literal 4 binary64))))))))
(* 2 (* (sqrt (* a c)) (/ (sqrt -4) b)))
(.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 (sqrt.f64 #s(literal -4 binary64)) b)))
(* c (+ (* 2 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))))
(.f64 c (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) b)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (*.f64 c c))))) (/.f64 b (sqrt.f64 #s(literal -4 binary64))))))
(* c (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4))))))
(.f64 c (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) b)) (.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 -1/4 binary64) (.f64 (/.f64 (.f64 b (.f64 b b)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (pow.f64 c #s(literal 5 binary64))))))))
(* c (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 5) (pow (sqrt -4) 5)))) (+ (* 2 (* (sqrt (/ a c)) (/ (sqrt -4) b))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))))))
(.f64 c (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 b (.f64 b b)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))) (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) b)) (.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 1/8 binary64) (.f64 (/.f64 (pow.f64 b #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))))))))
(* -4 (* (sqrt (* a c)) (/ (sqrt -1) b)))
(.f64 #s(literal -4 binary64) (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b)))
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 4 (* (sqrt (/ a c)) (/ (sqrt -1) b))))))
(.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b))) (.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 -1 binary64)))))))
(* -1 (* c (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 4 (* (sqrt (/ a c)) (/ (sqrt -1) b)))))))
(.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (+.f64 (.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b))) (.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 -1 binary64)))))) (.f64 #s(literal -1/32 binary64) (.f64 (.f64 (.f64 b (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (pow.f64 c #s(literal 5 binary64))))))))
(* -1 (* c (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/256 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 4 (* (sqrt (/ a c)) (/ (sqrt -1) b))))))))
(.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (.f64 (.f64 b (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))) (+.f64 (+.f64 (.f64 #s(literal 4 binary64) (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b))) (.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 -1 binary64)))))) (.f64 #s(literal 1/256 binary64) (.f64 (*.f64 (pow.f64 b #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))))))))
(* (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)))
(+.f64 (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 c a))) (.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (/.f64 (.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)))))))
(+.f64 (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 c a))) (.f64 (.f64 b b) (+.f64 (.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 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (.f64 c (.f64 c c)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (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)))))))))
(+.f64 (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 c a))) (.f64 (.f64 b b) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (sqrt.f64 #s(literal -4 binary64)))) (.f64 (.f64 b b) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.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 (/.f64 #s(literal 1 binary64) (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))))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (.f64 b b))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (+.f64 (.f64 a (/.f64 c (.f64 b b))) (/.f64 (.f64 (.f64 c a) (*.f64 c a)) (pow.f64 b #s(literal 4 binary64)))))))
(* 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 b (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (+.f64 (.f64 a (/.f64 c (.f64 b b))) (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b #s(literal 4 binary64))))) (.f64 #s(literal -4 binary64) (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64)))))))
(* -1 b)
(-.f64 #s(literal 0 binary64) b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (+.f64 (.f64 a (/.f64 c (.f64 b b))) (/.f64 (.f64 (.f64 c a) (*.f64 c a)) (pow.f64 b #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) 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 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -2 binary64) (+.f64 (.f64 a (/.f64 c (.f64 b b))) (/.f64 (.f64 (.f64 c a) (.f64 c a)) (pow.f64 b #s(literal 4 binary64))))) (.f64 #s(literal -4 binary64) (/.f64 (.f64 (.f64 a (.f64 a a)) (.f64 c (*.f64 c c))) (pow.f64 b #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) b))
b
(+ b (* -2 (/ (* a c) b)))
(+.f64 b (.f64 #s(literal -2 binary64) (/.f64 (.f64 c a) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+.f64 b (.f64 c (.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (/.f64 (.f64 c (.f64 a a)) (.f64 b (.f64 b b)))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(+.f64 b (.f64 c (+.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) (.f64 c (+.f64 (/.f64 (.f64 #s(literal -4 binary64) (.f64 c (.f64 a (.f64 a a)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (.f64 b (*.f64 b b))))))))
(* (sqrt (* a c)) (sqrt -4))
(.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 c a)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(.f64 c (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(.f64 c (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 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 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))) (.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c)))) (.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 #s(literal -2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))))) (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))))) (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))) (.f64 #s(literal -1/64 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64))))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(.f64 c (neg.f64 (+.f64 (.f64 #s(literal -1/64 binary64) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))) (+.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 c (.f64 c c))))))) (.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))) (.f64 #s(literal 1/512 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+.f64 b (.f64 #s(literal -2 binary64) (/.f64 (.f64 c a) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+.f64 b (.f64 a (.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b)))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(+.f64 b (.f64 a (+.f64 (.f64 #s(literal -2 binary64) (/.f64 c b)) (.f64 a (+.f64 (/.f64 (.f64 #s(literal -4 binary64) (.f64 a (.f64 c (.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c c)) (.f64 b (*.f64 b b))))))))
(* (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))))
(.f64 a (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))))
(* 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)))))
(.f64 a (+.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (.f64 c (.f64 c c)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))))))
(* 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))))))
(.f64 a (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (.f64 c (.f64 c c)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (+.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))) (.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 #s(literal -2 binary64) (.f64 (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))))))
(.f64 (+.f64 (.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 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 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)))))))
(.f64 (+.f64 (+.f64 (.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 #s(literal 2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 #s(literal -1/64 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (.f64 c (.f64 c c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))))) (neg.f64 a))
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b
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b
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(+.f64 (.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (.f64 b (+.f64 (.f64 (.f64 b #s(literal 2 binary64)) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/2 binary64))) (/.f64 #s(literal 2 binary64) (.f64 #s(literal -4 binary64) a)))))
(+ (* -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)))))))
(+.f64 (.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (.f64 b (+.f64 (/.f64 #s(literal 2 binary64) (.f64 #s(literal -4 binary64) a)) (.f64 b (+.f64 (.f64 (.f64 b #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 c (.f64 a a)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64)))) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -4 binary64))))) (.f64 #s(literal 2 binary64) (.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/2 binary64))))))))
(* -1 (/ c b))
(/.f64 (-.f64 #s(literal 0 binary64) c) b)
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (.f64 a (.f64 c c)) (*.f64 b b))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/.f64 (-.f64 (-.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 a a) (.f64 c (.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) c) (/.f64 (.f64 a (.f64 c c)) (.f64 b b))) 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)
(/.f64 (+.f64 (-.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 a a) (.f64 c (.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) c) (-.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 a (.f64 a a)) (pow.f64 c #s(literal 4 binary64))) #s(literal -5/2 binary64))) (pow.f64 b #s(literal 6 binary64))) (/.f64 (.f64 a (.f64 c c)) (*.f64 b b)))) b)
(* -1 (/ b a))
(/.f64 (-.f64 #s(literal 0 binary64) b) a)
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 a (.f64 c c)) #s(literal -1/2 binary64))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 c (.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(* -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))))))
(.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 a (.f64 c c)) #s(literal -1/2 binary64))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal 2 binary64) (-.f64 (+.f64 (.f64 (.f64 a a) (.f64 c (.f64 c c))) (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (.f64 a a)) (/.f64 #s(literal 20 binary64) c)))) (.f64 (.f64 c a) (.f64 (.f64 a (.f64 c c)) #s(literal -1/2 binary64))))) (pow.f64 b #s(literal 6 binary64)))) (/.f64 c (.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ c b))
(/.f64 (-.f64 #s(literal 0 binary64) c) b)
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) c) b) (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(-.f64 (.f64 a (-.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 a (.f64 c (.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 c c) (.f64 b (.f64 b b))))) (/.f64 c b))
(+ (* -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)))))))))))
(-.f64 (.f64 a (-.f64 (.f64 a (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (.f64 (.f64 #s(literal 2 binary64) a) (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -5/2 binary64))))) (/.f64 (.f64 c c) (.f64 b (*.f64 b b))))) (/.f64 c b))
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))
(*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a)
(/.f64 (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 (*.f64 b #s(literal 2 binary64)) #s(literal -4 binary64))) 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)
(/.f64 (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 b #s(literal -4 binary64)) (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c)) (.f64 b b)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/2 binary64)) (.f64 a a))))) 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)
(/.f64 (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (+.f64 (/.f64 (.f64 b #s(literal 2 binary64)) #s(literal -4 binary64)) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 a a) (/.f64 (.f64 b (.f64 b b)) (.f64 c (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64)))))) (/.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 b (.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c)) (.f64 b b)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/2 binary64)))) (sqrt.f64 #s(literal -4 binary64)))) (.f64 a (.f64 a a))) (/.f64 (.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c)) (.f64 b b)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/2 binary64)) (*.f64 a a)))))) a)
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))) 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))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (.f64 (sqrt.f64 (.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c)) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/16 binary64))) a) (.f64 #s(literal -1/2 binary64) (*.f64 b a))) 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))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (.f64 (sqrt.f64 (.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 b a)) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (.f64 (.f64 b (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c)) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/16 binary64)))) (.f64 #s(literal -1/32 binary64) (.f64 (.f64 a a) (/.f64 (.f64 b (.f64 b b)) c))))) a) (.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) c)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/16 binary64)))) a)) a)) a))

eval637.0ms (2.9%)

Compiler: Compiled 164985 to 7230 computations (95.6% saved)

prune689.0ms (3.1%)

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	3343	18	3361
Fresh	3	2	5
Picked	3	2	5
Done	1	2	3
Total	3350	24	3374

Accuracy

90.6%

Counts

3374 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.0%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 #s(literal -1/2 binary64) c)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))))) (*.f64 #s(literal 2 binary64) a)))
▶	71.3%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 #s(literal -1/2 binary64) c)) (/.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a)))) a) (/.f64 b a)) #s(literal 2 binary64)))
	63.6%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 #s(literal -1/2 binary64) c)) (/.f64 (-.f64 (sqrt.f64 (.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (.f64 a (/.f64 c (.f64 b b))))))) b) (*.f64 #s(literal 2 binary64) a)))
	65.9%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) c) b) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
	38.1%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (/.f64 (.f64 b (.f64 b b)) (.f64 c a))) a) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a)))
	38.7%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (/.f64 (-.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 b b)) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) b))) (/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) a) (/.f64 (.f64 #s(literal 2 binary64) a) b)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b))))
	57.6%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 (.f64 c (.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (/.f64 (.f64 c (.f64 a a)) (.f64 b (.f64 b b)))))) (.f64 b #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
	64.0%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 c a) b)) (.f64 b #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
✓	60.8%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) b) (/.f64 a (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b))))
	62.9%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) #s(literal 2 binary64)) a) (.f64 a (/.f64 b #s(literal 2 binary64)))) (.f64 a a)))
	40.0%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 8 binary64) (.f64 b (.f64 b b)))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 #s(literal 2 binary64) b)) (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) b)))))))
✓	71.3%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b)))
	51.5%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a)))) (/.f64 a (.f64 a (.f64 b #s(literal 1/2 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 b a))))
✓	71.4%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (.f64 #s(literal 2 binary64) a)))
▶	51.9%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a))))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
▶	62.7%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (.f64 b b))))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
	57.9%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a (/.f64 (.f64 b b) c)) b)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a)))
▶	66.1%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) b) (*.f64 #s(literal 2 binary64) a)))
	55.4%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a))) b) (*.f64 #s(literal 2 binary64) a)))
	65.0%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 2 binary64) a)))
	66.1%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))) (-.f64 #s(literal 0 binary64) b)))
	38.7%	(if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 (/.f64 c #s(literal -1/2 binary64)) (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a)))))) (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) b) (/.f64 a (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b))))
✓	71.3%	(if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) c) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (.f64 #s(literal 2 binary64) a)))
	42.3%	(if (>=.f64 b #s(literal 0 binary64)) (exp.f64 (.f64 (log.f64 (+.f64 (/.f64 a b) (/.f64 b c))) #s(literal -1 binary64))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a)))

Compiler

Compiled 1744 to 1029 computations (41% saved)

simplify251.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 #s(literal -1/2 binary64) c))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a)))))))
✓	cost-diff	256	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))))) (.f64 #s(literal 2 binary64) a))
✓	cost-diff	256	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 #s(literal -1/2 binary64) c)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))))) (*.f64 #s(literal 2 binary64) a)))
✓	cost-diff	0	(>=.f64 b #s(literal 0 binary64))
✓	cost-diff	0	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a))))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
✓	cost-diff	128	(-.f64 (-.f64 #s(literal 0 binary64) b) b)
✓	cost-diff	256	(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b))
✓	cost-diff	128	(.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (.f64 b b))))
✓	cost-diff	128	(/.f64 (.f64 c #s(literal -2 binary64)) (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (*.f64 b b)))))
✓	cost-diff	128	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (.f64 b b))))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
✓	cost-diff	256	(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b))
✓	cost-diff	0	(>=.f64 b #s(literal 0 binary64))
✓	cost-diff	0	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) b) (*.f64 #s(literal 2 binary64) a)))
✓	cost-diff	128	(-.f64 (-.f64 #s(literal 0 binary64) b) b)
✓	cost-diff	256	(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) b) (*.f64 #s(literal 2 binary64) a))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64)))))))
✓	cost-diff	0	(>=.f64 b #s(literal 0 binary64))
✓	cost-diff	0	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 #s(literal -1/2 binary64) c)) (/.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a)))) a) (/.f64 b a)) #s(literal 2 binary64)))
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 #s(literal -1/2 binary64) c))

Rules

3238×	`-lowering-.f32`
3238×	`-lowering-.f64`
1970×	`+-lowering-+.f64`
1970×	`+-lowering-+.f32`
1308×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	657
1	139	653
2	331	626
3	821	616
4	3097	616
0	8287	616

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(if (>= b 0) (/ (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/ -1/2 c)) (/ (- (/ (sqrt (+ (* b b) (* -4 (* c a)))) a) (/ b a)) 2))
(>= b 0)
b
0
(/ (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/ -1/2 c))
(/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4))))))
1
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* b b)
(* c (* a -4))
c
(* a -4)
a
-4
(/ -1/2 c)
-1/2
(/ (- (/ (sqrt (+ (* b b) (* -4 (* c a)))) a) (/ b a)) 2)
(- (/ (sqrt (+ (* b b) (* -4 (* c a)))) a) (/ b a))
(/ (sqrt (+ (* b b) (* -4 (* c a)))) a)
(sqrt (+ (* b b) (* -4 (* c a))))
(+ (* b b) (* -4 (* c a)))
(* -4 (* c a))
(* c a)
(/ b a)
2
(if (>= b 0) (/ 1 (- (/ a b) (/ b c))) (/ (- (- 0 b) b) (* 2 a)))
(>= b 0)
b
0
(/ 1 (- (/ a b) (/ b c)))
1
(- (/ a b) (/ b c))
(/ a b)
a
(/ b c)
c
(/ (- (- 0 b) b) (* 2 a))
(- (- 0 b) b)
(- 0 b)
(* 2 a)
2
(if (>= b 0) (/ (* c -2) (* b (+ 2 (/ (* -2 (* c a)) (* b b))))) (* (/ 1/2 a) (- (- 0 b) b)))
(>= b 0)
b
0
(/ (* c -2) (* b (+ 2 (/ (* -2 (* c a)) (* b b)))))
(* c -2)
c
-2
(* b (+ 2 (/ (* -2 (* c a)) (* b b))))
(+ 2 (/ (* -2 (* c a)) (* b b)))
2
(/ (* -2 (* c a)) (* b b))
(* -2 (* c a))
(* c a)
a
(* b b)
(* (/ 1/2 a) (- (- 0 b) b))
(/ 1/2 a)
1/2
(- (- 0 b) b)
(- 0 b)
(if (>= b 0) (/ (* c -2) (+ b (sqrt (* -4 (* c a))))) (* (/ 1/2 a) (- (- 0 b) b)))
(>= b 0)
b
0
(/ (* c -2) (+ b (sqrt (* -4 (* c a)))))
(* c -2)
c
-2
(+ b (sqrt (* -4 (* c a))))
(sqrt (* -4 (* c a)))
(* -4 (* c a))
-4
(* c a)
a
(* (/ 1/2 a) (- (- 0 b) b))
(/ 1/2 a)
1/2
(- (- 0 b) b)
(- 0 b)
(if (>= b 0) (/ (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/ -1/2 c)) (/ (/ 1 (/ 1 (+ b (sqrt (+ (* b b) (* -4 (* c a))))))) (* 2 a)))
(>= b 0)
b
0
(/ (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/ -1/2 c))
(/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4))))))
1
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
(sqrt (+ (* b b) (* c (* a -4))))
(+ (* b b) (* c (* a -4)))
(* b b)
(* c (* a -4))
c
(* a -4)
a
-4
(/ -1/2 c)
-1/2
(/ (/ 1 (/ 1 (+ b (sqrt (+ (* b b) (* -4 (* c a))))))) (* 2 a))
(/ 1 (/ 1 (+ b (sqrt (+ (* b b) (* -4 (* c a)))))))
(/ 1 (+ b (sqrt (+ (* b b) (* -4 (* c a))))))
(+ b (sqrt (+ (* b b) (* -4 (* c a)))))
(sqrt (+ (* b b) (* -4 (* c a))))
(+ (* b b) (* -4 (* c a)))
(* -4 (* c a))
(* c a)
(* 2 a)
2

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

localize827.0ms (3.8%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	91.1%	(+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))))
✓	accuracy	91.1%	(+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a)))))
✓	accuracy	78.3%	(sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64)))))
✓	accuracy	78.3%	(sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a))))
✓	accuracy	99.9%	(/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (.f64 #s(literal -4 binary64) (*.f64 c a)))))
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b))
✓	accuracy	99.4%	(>=.f64 b #s(literal 0 binary64))
✓	accuracy	83.3%	(sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a)))
✓	accuracy	99.4%	(>=.f64 b #s(literal 0 binary64))
✓	accuracy	95.2%	(.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (.f64 b b))))
✓	accuracy	95.1%	(/.f64 (.f64 c #s(literal -2 binary64)) (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (*.f64 b b)))))
✓	accuracy	89.0%	(/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (*.f64 b b))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) b)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) a)
✓	accuracy	99.4%	(>=.f64 b #s(literal 0 binary64))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c)))
✓	accuracy	91.1%	(+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))))
✓	accuracy	90.7%	(-.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a)))) a) (/.f64 b a))
✓	accuracy	78.3%	(sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64)))))
✓	accuracy	78.3%	(sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a))))

Results

422.0ms	94×	0	invalid
89.0ms	39×	2	valid
56.0ms	91×	0	valid
31.0ms	25×	1	valid
30.0ms	7×	3	valid

Compiler

Compiled 719 to 57 computations (92.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 487.0ms

ival-if: 332.0ms (68.2% of total)

ival-mult: 48.0ms (9.9% of total)

ival-div: 39.0ms (8% of total)

ival-add: 28.0ms (5.8% of total)

backward-pass: 15.0ms (3.1% of total)

ival-sub: 12.0ms (2.5% of total)

ival-sqrt: 9.0ms (1.8% of total)

const: 2.0ms (0.4% of total)

ival->=: 2.0ms (0.4% of total)

series65.0ms (0.3%)

Counts

26 → 804

Calls

Call 1

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

Outputs
#<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 (* 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 (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (- (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))) (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (- (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))) (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (- (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))) (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (- (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))) (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (- (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))) (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (- (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))) (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (- (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))) (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (- (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))) (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (* 1/2 (+ (* -1 (/ b a)) (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))))))>
#<alt (if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (* 1/2 (+ (* -1 (/ b a)) (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))))))>
#<alt (if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (* 1/2 (+ (* -1 (/ b a)) (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))))))>
#<alt (if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (* 1/2 (+ (* -1 (/ b a)) (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (- (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))) (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (- (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))) (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (- (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))) (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (- (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))) (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (- (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))) (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (- (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))) (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (- (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))) (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (- (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))) (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (- (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))) (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (- (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))) (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (- (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))) (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (- (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))) (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (- (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))) (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (- (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))) (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (- (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))) (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (- (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))) (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (- (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))) (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (- (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))) (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (- (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))) (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (- (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))) (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (- (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))) (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (- (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))) (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (- (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))) (/ b a))))>
#<alt (if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (- (* (/ 1 a) (sqrt (+ (* -4 (* a c)) (pow b 2)))) (/ b a))))>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (>= b 0)>
#<alt (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))>
#<alt (+ (* -1 (/ b (* a (* c (pow (sqrt -4) 2))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))>
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))>
#<alt (+ (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* a (* c (pow (sqrt -4) 2)))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))>
#<alt (/ 1/2 b)>
#<alt (/ (+ 1/2 (* 1/2 (/ (* a c) (pow b 2)))) b)>
#<alt (/ (- (+ 1/2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2)))) b)>
#<alt (/ (- (+ 1/2 (* -1 (/ (+ (* -2 (* (pow a 3) (pow c 3))) (* -1/2 (* (pow a 3) (pow c 3)))) (pow b 6)))) (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (* a c) (pow b 2))))) b)>
#<alt (* 1/2 (/ b (* a c)))>
#<alt (* -1 (* b (- (* 1/2 (/ 1 (pow b 2))) (* 1/2 (/ 1 (* a c))))))>
#<alt (* -1 (* b (- (+ (* -1 (/ (+ (* -1 (* a c)) (* 1/2 (* a c))) (pow b 4))) (* 1/2 (/ 1 (pow b 2)))) (* 1/2 (/ 1 (* a c))))))>
#<alt (* -1 (* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -1 (* a c)) (* 1/2 (* a c)))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* (pow a 2) (pow c 2)))) (pow b 6))) (* 1/2 (/ 1 (pow b 2)))) (+ (* -1 (/ (* a c) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 4))) (* 1/2 (/ 1 (* a c))))))))>
#<alt (/ 1/2 b)>
#<alt (+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))>
#<alt (+ (* c (- (/ (* (pow a 2) c) (pow b 5)) (* -1/2 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))>
#<alt (+ (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))) (* -1 (/ (pow a 2) (pow b 5))))) (* -1/2 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))>
#<alt (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))>
#<alt (/ (+ (* -1 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) c)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (/ b (* a (pow (sqrt -4) 2)))) c)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (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))) (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (* a (pow (sqrt -4) 2)))))) c)>
#<alt (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))>
#<alt (* -1 (/ (+ (* -1/4 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/4 (/ (* b c) a))) c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -1)))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (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))>
#<alt (/ 1/2 b)>
#<alt (+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))>
#<alt (+ (* a (- (/ (* a (pow c 2)) (pow b 5)) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b)))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -2 (/ (pow c 3) (pow b 7))) (* -1/2 (/ (pow c 3) (pow b 7)))))) (* -1 (/ (pow c 2) (pow b 5))))) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b)))>
#<alt (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))>
#<alt (/ (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) a)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (/ b (* c (pow (sqrt -4) 2)))) a)>
#<alt (/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (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))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (* c (pow (sqrt -4) 2)))))) a)>
#<alt (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))>
#<alt (* -1 (/ (+ (* -1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) a))>
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#<alt (/ b a)>
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#<alt (/ c b)>
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#<alt (/ b a)>
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#<alt (* 2 b)>
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#<alt (* 2 b)>
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#<alt (* 2 b)>
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#<alt b>
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#<alt (* -1 b)>
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#<alt b>
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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)))) (+ (* 1/512 (* (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 (* (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))>
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#<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)))>
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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>
#<alt (+ b (* -2 (/ (* a c) b)))>
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#<alt (* (sqrt (* a c)) (sqrt -4))>
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#<alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (* a b)) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a))>
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* -1/8 (/ (* a (pow b 3)) c))) a)) (* -1/2 (* a b))) a))) 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))))))>

Calls

201 calls:

Time	Variable		Point	Expression
9.0ms	b	@	inf	(if (>= b 0) (/ (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/ -1/2 c)) (/ (/ 1 (/ 1 (+ b (sqrt (+ (* b b) (* -4 (* c a))))))) (* 2 a)))
3.0ms	c	@	-inf	(if (>= b 0) (/ (* c -2) (* b (+ 2 (/ (* -2 (* c a)) (* b b))))) (* (/ 1/2 a) (- (- 0 b) b)))
2.0ms	b	@	0	(/ (/ 1 (/ 1 (+ b (sqrt (+ (* b b) (* -4 (* c a))))))) (* 2 a))
2.0ms	c	@	-inf	(/ (* c -2) (+ b (sqrt (* -4 (* c a)))))
1.0ms	c	@	0	(/ (* c -2) (+ b (sqrt (* -4 (* c a)))))

rewrite491.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3118×	`fma-lowering-fma.f32`
3118×	`fma-lowering-fma.f64`
2270×	`-lowering-.f32`
2270×	`-lowering-.f64`
1884×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	343
1	387	337
2	3301	324
0	8106	324

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 586

Calls

Call 1

Inputs
(/ (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/ -1/2 c))
(if (>= b 0) (/ (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/ -1/2 c)) (/ (- (/ (sqrt (+ (* b b) (* -4 (* c a)))) a) (/ b a)) 2))
(>= b 0)
(/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4))))))
(/ (- (- 0 b) b) (* 2 a))
(- (- 0 b) b)
(if (>= b 0) (/ 1 (- (/ a b) (/ b c))) (/ (- (- 0 b) b) (* 2 a)))
(* (/ 1/2 a) (- (- 0 b) b))
(if (>= b 0) (/ (* c -2) (* b (+ 2 (/ (* -2 (* c a)) (* b b))))) (* (/ 1/2 a) (- (- 0 b) b)))
(/ (* c -2) (* b (+ 2 (/ (* -2 (* c a)) (* b b)))))
(* b (+ 2 (/ (* -2 (* c a)) (* b b))))
(if (>= b 0) (/ (* c -2) (+ b (sqrt (* -4 (* c a))))) (* (/ 1/2 a) (- (- 0 b) b)))
(if (>= b 0) (/ (/ 1 (+ b (sqrt (+ (* b b) (* c (* a -4)))))) (/ -1/2 c)) (/ (/ 1 (/ 1 (+ b (sqrt (+ (* b b) (* -4 (* c a))))))) (* 2 a)))
(/ (/ 1 (/ 1 (+ b (sqrt (+ (* b b) (* -4 (* c a))))))) (* 2 a))
(/ 1 (/ 1 (+ b (sqrt (+ (* b b) (* -4 (* c a)))))))
(sqrt (+ (* b b) (* -4 (* c a))))
(sqrt (+ (* b b) (* c (* a -4))))
(- (/ (sqrt (+ (* b b) (* -4 (* c a)))) a) (/ b a))
(+ b (sqrt (+ (* b b) (* c (* a -4)))))
(/ 1 (- (/ a b) (/ b c)))
(* 2 a)
(- 0 b)
(/ (* -2 (* c a)) (* b b))
(sqrt (* -4 (* c a)))
(/ (* c -2) (+ b (sqrt (* -4 (* c a)))))
(+ b (sqrt (+ (* b b) (* -4 (* c a)))))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))))) (/.f64 c #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 #s(literal 1/2 binary64) c)))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 #s(literal -1/2 binary64) c)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64)))))) (/.f64 c #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64)))))) (/.f64 c #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 #s(literal -1/2 binary64) c))
(/.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 #s(literal -1/2 binary64) c)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64)))))) (/.f64 c #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1/2 binary64) c) (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))))))))
(/.f64 (.f64 c #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 #s(literal 1/2 binary64) c))
(/.f64 (/.f64 c #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))))))) (/.f64 #s(literal 1 binary64) c))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) c) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64)))))) (/.f64 c #s(literal -1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64)))))) (/.f64 c #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (/.f64 c #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))))
(.f64 c (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 c #s(literal -1/2 binary64)))
(.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 #s(literal 1 binary64) c)))
(.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) c)))
(.f64 (/.f64 c #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64)))))))) c)
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) c))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 c #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) b) a) #s(literal 2 binary64)))
(>=.f64 b #s(literal 0 binary64))
(exp.f64 (.f64 (log.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))))))) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))))))
(/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal 1 binary64))
(pow.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))))
(.f64 (pow.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)))) (+.f64 (.f64 b b) (-.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))))))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))))))
(+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 2 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b)))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) b))) (fma.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) a)) b (.f64 (/.f64 #s(literal 1/2 binary64) a) b)))
(+.f64 (fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (.f64 #s(literal 1/2 binary64) (/.f64 b a)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (.f64 #s(literal 1/2 binary64) (/.f64 b a))))
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 2 binary64)) (/.f64 (/.f64 b a) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 a #s(literal 1/2 binary64))) (/.f64 (*.f64 b #s(literal 2 binary64)) (/.f64 a #s(literal 1/2 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/2 binary64) a) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 2 binary64)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b)))
(neg.f64 (/.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b)) (.f64 a #s(literal -2 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b))) (/.f64 a #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b))))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b))) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b)) (/.f64 a #s(literal 1/2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b)))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b))) (.f64 a #s(literal -2 binary64)))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))) (.f64 b (.f64 b b))) (.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 (.f64 b b) (*.f64 b (+.f64 b (-.f64 #s(literal 0 binary64) b))))))
(/.f64 (.f64 b (+.f64 b (-.f64 #s(literal 0 binary64) b))) (.f64 (/.f64 a #s(literal 1/2 binary64)) (+.f64 b (-.f64 #s(literal 0 binary64) b))))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b)) #s(literal 2 binary64)) a)
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a #s(literal 1/2 binary64))) (.f64 (/.f64 a #s(literal 1/2 binary64)) b)) (*.f64 (/.f64 a #s(literal 1/2 binary64)) (/.f64 a #s(literal 1/2 binary64))))
(/.f64 (.f64 (-.f64 (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))) (.f64 b (.f64 b b))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 b b) (.f64 b (+.f64 b (-.f64 #s(literal 0 binary64) b)))) (/.f64 a #s(literal 1/2 binary64))))
(/.f64 (.f64 (-.f64 (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))) (.f64 b (.f64 b b))) #s(literal -1/2 binary64)) (.f64 (+.f64 (.f64 b b) (.f64 b (+.f64 b (-.f64 #s(literal 0 binary64) b)))) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (.f64 (-.f64 (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))) (.f64 b (.f64 b b))) #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 b b) (.f64 b (+.f64 b (-.f64 #s(literal 0 binary64) b)))) a))
(/.f64 (.f64 (.f64 b (+.f64 b (-.f64 #s(literal 0 binary64) b))) #s(literal 1 binary64)) (*.f64 (+.f64 b (-.f64 #s(literal 0 binary64) b)) (/.f64 a #s(literal 1/2 binary64))))
(/.f64 (.f64 (.f64 b (+.f64 b (-.f64 #s(literal 0 binary64) b))) #s(literal -1/2 binary64)) (*.f64 (+.f64 b (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) a)))
(/.f64 (.f64 (.f64 b (+.f64 b (-.f64 #s(literal 0 binary64) b))) #s(literal 1/2 binary64)) (*.f64 (+.f64 b (-.f64 #s(literal 0 binary64) b)) a))
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(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))))) #s(literal 1 binary64))
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(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 a b) (/.f64 b a)) (/.f64 (.f64 b b) (*.f64 c c)))) (+.f64 (/.f64 a b) (/.f64 b c)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) a))
(/.f64 a #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal -1 binary64))
(*.f64 a #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) a)
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) b))
(+.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) b)
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 b b)) (/.f64 (.f64 b (.f64 b b)) (.f64 b b)))
(-.f64 (/.f64 #s(literal 0 binary64) b) (/.f64 (*.f64 b b) b))
(fma.f64 #s(literal -1 binary64) b #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 0 binary64))
(neg.f64 b)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (-.f64 #s(literal 0 binary64) (.f64 b (*.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b b))))
(/.f64 (*.f64 b b) (-.f64 #s(literal 0 binary64) b))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) b)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) b)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))) (*.f64 b b))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 b b) (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) b)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b)))) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(pow.f64 (/.f64 (.f64 b b) (-.f64 #s(literal 0 binary64) (.f64 b (*.f64 b b)))) #s(literal -1 binary64))
(pow.f64 (/.f64 b (-.f64 #s(literal 0 binary64) (*.f64 b b))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) b)
(.f64 (-.f64 #s(literal 0 binary64) (.f64 b b)) (/.f64 #s(literal 1 binary64) b))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 b b)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -2 binary64))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 c (.f64 a #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b b))))
(neg.f64 (/.f64 (.f64 (.f64 c a) #s(literal 2 binary64)) (*.f64 b b)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 b (.f64 #s(literal -2 binary64) (/.f64 (.f64 c a) b))))
(/.f64 (.f64 c (.f64 a #s(literal -2 binary64))) (*.f64 b b))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -2 binary64))))))
(/.f64 (.f64 (.f64 c a) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b b)))
(/.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 c a) b)) b)
(/.f64 (.f64 (.f64 c (.f64 a #s(literal -2 binary64))) #s(literal 1 binary64)) (.f64 b b))
(/.f64 (neg.f64 (.f64 (.f64 c a) #s(literal 2 binary64))) (*.f64 b b))
(/.f64 (neg.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 c a) b))) (-.f64 #s(literal 0 binary64) b))
(/.f64 (.f64 (/.f64 #s(literal -2 binary64) b) (.f64 c a)) b)
(pow.f64 (/.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 b (.f64 #s(literal -2 binary64) (/.f64 (.f64 c a) b))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 c (.f64 a #s(literal -2 binary64))) (.f64 b b)))
(.f64 (.f64 c a) (.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (.f64 b b))))
(.f64 (.f64 c a) (/.f64 #s(literal -2 binary64) (*.f64 b b)))
(.f64 #s(literal -2 binary64) (.f64 c (/.f64 a (*.f64 b b))))
(.f64 (.f64 c (.f64 a #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 b b)))
(.f64 (.f64 (.f64 c a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 b b))))
(.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 (.f64 c a) b))
(.f64 (/.f64 (.f64 c a) b) (/.f64 #s(literal -2 binary64) b))
(.f64 (/.f64 c #s(literal -1/2 binary64)) (.f64 a (/.f64 #s(literal 1 binary64) (*.f64 b b))))
(.f64 (/.f64 c #s(literal -1/2 binary64)) (/.f64 a (.f64 b b)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (.f64 c (.f64 a #s(literal -2 binary64))))
(*.f64 (/.f64 (/.f64 c #s(literal -1/2 binary64)) b) (/.f64 a b))
(.f64 (.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) (/.f64 #s(literal 1 binary64) b))
(.f64 (.f64 c (/.f64 a (*.f64 b b))) #s(literal -2 binary64))
(exp.f64 (.f64 (log.f64 (.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))
(pow.f64 (.f64 c (.f64 a #s(literal -4 binary64))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 c a)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))
(.f64 (pow.f64 c #s(literal 1/2 binary64)) (pow.f64 (.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (pow.f64 c #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 c #s(literal -4 binary64)) #s(literal 1/2 binary64)) (pow.f64 a #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 c) (sqrt.f64 (.f64 a #s(literal -4 binary64))))
(.f64 (sqrt.f64 (.f64 a #s(literal -4 binary64))) (sqrt.f64 c))
(.f64 (sqrt.f64 (.f64 c #s(literal -4 binary64))) (sqrt.f64 a))
(.f64 (pow.f64 (.f64 c (.f64 a #s(literal -4 binary64))) #s(literal 1/4 binary64)) (pow.f64 (.f64 c (*.f64 a #s(literal -4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 b (sqrt.f64 (.f64 c (*.f64 a #s(literal -4 binary64))))) (/.f64 c #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (/.f64 c #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))))))
(neg.f64 (/.f64 (.f64 c #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 c #s(literal -1/2 binary64))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 b (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 c #s(literal -1/2 binary64)))))
(/.f64 (.f64 c #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 (/.f64 c #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))))
(/.f64 (neg.f64 (.f64 c #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (.f64 c (*.f64 a #s(literal -4 binary64))))))))
(/.f64 (.f64 (/.f64 c #s(literal -1/2 binary64)) #s(literal 1 binary64)) (+.f64 b (sqrt.f64 (.f64 c (*.f64 a #s(literal -4 binary64))))))
(pow.f64 (/.f64 (+.f64 b (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 c #s(literal -1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 b (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 c #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (/.f64 c #s(literal -1/2 binary64)) (+.f64 b (sqrt.f64 (.f64 c (*.f64 a #s(literal -4 binary64)))))))
(.f64 c (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (.f64 c (*.f64 a #s(literal -4 binary64)))))))
(.f64 #s(literal -2 binary64) (.f64 c (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))))))
(.f64 #s(literal -2 binary64) (/.f64 c (+.f64 b (sqrt.f64 (.f64 c (*.f64 a #s(literal -4 binary64)))))))
(.f64 (.f64 c #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))))))
(.f64 (/.f64 c #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (.f64 c (*.f64 a #s(literal -4 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (.f64 c (*.f64 a #s(literal -4 binary64)))))) (/.f64 c #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (.f64 c (*.f64 a #s(literal -4 binary64)))))) c)
(.f64 (/.f64 (/.f64 c #s(literal -1/2 binary64)) (+.f64 (.f64 b (.f64 b b)) (pow.f64 (.f64 c (.f64 a #s(literal -4 binary64))) #s(literal 3/2 binary64)))) (-.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 b (sqrt.f64 (.f64 c (*.f64 a #s(literal -4 binary64)))))))
(.f64 (/.f64 (/.f64 c #s(literal -1/2 binary64)) (+.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 c a)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))))
(+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))))
(+.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))) b)
(+.f64 (.f64 b #s(literal 1 binary64)) (.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) b) (.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64)))))))
(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) #s(literal 1 binary64)) (*.f64 b #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))))) (*.f64 #s(literal 1 binary64) b))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))))))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 b b) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))))
(fma.f64 #s(literal 1 binary64) b (.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 #s(literal 1 binary64) b))
(fma.f64 b #s(literal 1 binary64) (.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) #s(literal 1 binary64) (.f64 b #s(literal 1 binary64)))
(fma.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 1/4 binary64)) b)
(neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (.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 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b b) (-.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))))))) (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))))) (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal -1 binary64))
(/.f64 (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64))) (+.f64 (.f64 b b) (-.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(/.f64 (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64))) (+.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) (-.f64 (.f64 b b) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64)))))))))
(/.f64 (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64))) (.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (-.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))))))
(/.f64 (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64)))))))
(/.f64 (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) (.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)))) (+.f64 (.f64 b b) (-.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))))))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))))))
(/.f64 (neg.f64 (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (.f64 b b) (-.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))))))))
(/.f64 (neg.f64 (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))))) (neg.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))))))
(/.f64 (-.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 b b)) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))) b))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal -1 binary64))
(pow.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal 1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 b b) (-.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))))))) (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))))) (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64)))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))))))
(.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))))
(.f64 (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (-.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))))))
(.f64 (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))))) #s(literal -1/2 binary64)))

simplify592.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

5906×	`-lowering-.f32`
5906×	`-lowering-.f64`
2750×	`+-lowering-+.f64`
2750×	`+-lowering-+.f32`
1614×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1456	16594
1	5166	16191
0	8175	16191

Stop Event

1×	iter limit
1×	node limit

Counts

804 → 804

Calls

Call 1

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

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

eval312.0ms (1.4%)

Compiler: Compiled 81692 to 4572 computations (94.4% saved)

prune453.0ms (2.1%)

Pruning

37 alts after pruning (31 fresh and 6 done)

	Pruned	Kept	Total
New	1951	23	1974
Fresh	7	8	15
Picked	1	4	5
Done	2	2	4
Total	1961	37	1998

Accuracy

95.5%

Counts

1998 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.8%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 #s(literal -1/2 binary64) c)) (/.f64 (/.f64 (-.f64 (.f64 a (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 b a)) (*.f64 a a)) #s(literal 2 binary64)))
	36.1%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 #s(literal -1/2 binary64) c)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) (/.f64 c b))))))) (*.f64 #s(literal 2 binary64) a)))
✓	55.0%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 #s(literal -1/2 binary64) c)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))))) (*.f64 #s(literal 2 binary64) a)))
	54.9%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 #s(literal -1/2 binary64) c)) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))))))))
✓	71.3%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 #s(literal -1/2 binary64) c)) (/.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a)))) a) (/.f64 b a)) #s(literal 2 binary64)))
	65.9%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) c) b) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
	62.7%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 c (.f64 a #s(literal -2 binary64))) (.f64 b b))))) b) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
	38.7%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (/.f64 (-.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 b b)) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) b))) (/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) a) (/.f64 (.f64 #s(literal 2 binary64) a) b)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b))))
	34.9%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) b)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
	57.6%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 (.f64 c (.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (/.f64 (.f64 c (.f64 a a)) (.f64 b (.f64 b b)))))) (.f64 b #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
	44.2%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (.f64 (sqrt.f64 (.f64 c #s(literal -4 binary64))) (sqrt.f64 a)))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
	44.4%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (.f64 (sqrt.f64 (.f64 a #s(literal -4 binary64))) (sqrt.f64 c)))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
✓	60.8%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) b) (/.f64 a (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b))))
	40.0%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 8 binary64) (.f64 b (.f64 b b)))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 #s(literal 2 binary64) b)) (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) b)))))))
✓	71.3%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b)))
	51.5%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a)))) (/.f64 a (.f64 a (.f64 b #s(literal 1/2 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 b a))))
	28.4%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a))))) (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 2 binary64))) (+.f64 (.f64 (/.f64 (/.f64 b a) #s(literal 2 binary64)) (/.f64 (/.f64 b a) #s(literal 2 binary64))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 2 binary64)) (/.f64 (/.f64 b a) #s(literal 2 binary64)))))))
✓	51.9%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a))))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
	52.1%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (.f64 b b))))) (/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a #s(literal 1/2 binary64))) (.f64 (/.f64 a #s(literal 1/2 binary64)) b)) (.f64 (/.f64 a #s(literal 1/2 binary64)) (/.f64 a #s(literal 1/2 binary64)))))
	53.3%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (.f64 b b))))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 b #s(literal 2 binary64)) (.f64 b #s(literal 2 binary64)))) (+.f64 #s(literal 0 binary64) (.f64 b #s(literal 2 binary64))))))
	36.3%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (.f64 b b))))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))) (.f64 b b)) (.f64 (.f64 b b) (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))))) (.f64 b (.f64 b (*.f64 b b))))))
	41.7%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (.f64 b b))))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))) (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (*.f64 b (+.f64 b (-.f64 #s(literal 0 binary64) b))))))))
	35.2%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b a) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) b) (*.f64 #s(literal 2 binary64) a)))
	51.9%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 c #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
	56.8%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (.f64 b b)))) b) (.f64 #s(literal 2 binary64) a)))
✓	66.1%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) b) (*.f64 #s(literal 2 binary64) a)))
	55.4%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a))) b) (*.f64 #s(literal 2 binary64) a)))
	65.0%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 2 binary64) a)))
	66.0%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b)))))
	66.1%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))) (-.f64 #s(literal 0 binary64) b)))
	64.5%	(if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 (/.f64 (/.f64 c #s(literal -1/2 binary64)) b) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) (.f64 (.f64 c (/.f64 a (.f64 b b))) (.f64 c (/.f64 a (.f64 b b))))))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 c (/.f64 a (.f64 b b)))))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
	51.1%	(if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 (/.f64 c #s(literal -1/2 binary64)) (+.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 c a)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64)))))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
	40.3%	(if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 a b) (/.f64 b a)) (/.f64 (.f64 b b) (.f64 c c)))) (+.f64 (/.f64 a b) (/.f64 b c))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) b) (.f64 #s(literal 2 binary64) a)))
	54.8%	(if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 c a) (.f64 b b))) (.f64 b c)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) b) (*.f64 #s(literal 2 binary64) a)))
	51.8%	(if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64)))))) c) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
	62.6%	(if (>=.f64 b #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) (/.f64 c (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (.f64 c (.f64 a #s(literal -2 binary64))) (.f64 b b)))))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
	50.5%	(if (>=.f64 b #s(literal 0 binary64)) (exp.f64 (.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c))) #s(literal -1 binary64))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) b) (.f64 #s(literal 2 binary64) a)))

Compiler

Compiled 3648 to 1192 computations (67.3% saved)

regimes84.0ms (0.4%)

Counts

60 → 3

Calls

Call 1

Inputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) b) (*.f64 #s(literal 2 binary64) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b a) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) b) (*.f64 #s(literal 2 binary64) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) c) b) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) b)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
(if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 c a) (.f64 b b))) (.f64 b c)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) b) (*.f64 #s(literal 2 binary64) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))) (-.f64 #s(literal 0 binary64) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (.f64 b b)))) b) (.f64 #s(literal 2 binary64) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 c a) b)) (.f64 b #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
(if (>=.f64 b #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) (/.f64 c (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (.f64 c (.f64 a #s(literal -2 binary64))) (.f64 b b)))))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
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(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
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(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (.f64 #s(literal 2 binary64) a)))
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(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (/.f64 (.f64 b (.f64 b b)) (.f64 c a))) a) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))) (/.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)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) (.f64 c #s(literal -2 binary64)))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (.f64 #s(literal 2 binary64) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 #s(literal -1/2 binary64) c)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 #s(literal -1/2 binary64) c)) (/.f64 (-.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a)))) a) (/.f64 b a)) #s(literal 2 binary64)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 #s(literal -1/2 binary64) c)) (/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 #s(literal -1/2 binary64) c)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -2 binary64) (/.f64 a b)) (/.f64 c b))))))) (*.f64 #s(literal 2 binary64) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (-.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) (.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal 2 binary64) a))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 #s(literal -1/2 binary64) c)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))))) (*.f64 #s(literal 2 binary64) a)))
(if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 (/.f64 c #s(literal -1/2 binary64)) (+.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 c a)))) (-.f64 b (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64)))))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 #s(literal -1/2 binary64) c)) (/.f64 (-.f64 (sqrt.f64 (.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -4 binary64) (.f64 a (/.f64 c (.f64 b b))))))) b) (*.f64 #s(literal 2 binary64) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 #s(literal -1/2 binary64) c)) (/.f64 (/.f64 (-.f64 (.f64 a (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))))) (.f64 b a)) (*.f64 a a)) #s(literal 2 binary64)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) #s(literal 2 binary64)) a) (.f64 a (/.f64 b #s(literal 2 binary64)))) (.f64 a a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a)))) (/.f64 a (.f64 a (.f64 b #s(literal 1/2 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 b a))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) a) (/.f64 (.f64 #s(literal 2 binary64) a) b)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) b) (/.f64 a (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b))))
(if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 (.f64 c #s(literal -2 binary64)) (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a)))
(if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 (/.f64 c #s(literal -1/2 binary64)) (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a))))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 c a)))))) (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 a #s(literal 1/2 binary64)) b) (/.f64 a (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) (/.f64 (.f64 (-.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (/.f64 (-.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64)))) (.f64 b b)) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))) b))) (/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) a) (/.f64 (.f64 #s(literal 2 binary64) a) b)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) a) b))))
(if (>=.f64 b #s(literal 0 binary64)) (exp.f64 (.f64 (log.f64 (+.f64 (/.f64 a b) (/.f64 b c))) #s(literal -1 binary64))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a)))
(if (>=.f64 b #s(literal 0 binary64)) (exp.f64 (.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c))) #s(literal -1 binary64))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) b) (.f64 #s(literal 2 binary64) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (.f64 (sqrt.f64 (.f64 a #s(literal -4 binary64))) (sqrt.f64 c)))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (.f64 (sqrt.f64 (.f64 c #s(literal -4 binary64))) (sqrt.f64 a)))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (pow.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (.f64 #s(literal 2 binary64) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a))))) (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 b a) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 2 binary64))) (+.f64 (.f64 (/.f64 (/.f64 b a) #s(literal 2 binary64)) (/.f64 (/.f64 b a) #s(literal 2 binary64))) (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 2 binary64)) (/.f64 (/.f64 b a) #s(literal 2 binary64)))))))

Outputs

(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) b) (*.f64 #s(literal 2 binary64) a)))

(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal -4 binary64))))))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a)))

(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) c) b) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))

Calls

4 calls:

25.0ms	a
17.0ms	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))) (/.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)))
17.0ms	c
16.0ms	b

Results

Accuracy	Segments	Branch
82.9%	6	`a`
89.5%	3	`b`
75.8%	3	`c`
89.5%	5	`(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))) (/.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 53 to 29 computations (45.3% saved)

regimes36.0ms (0.2%)

Counts

28 → 3

Calls

Call 1

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

Outputs

(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) b) (*.f64 #s(literal 2 binary64) a)))

(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -4 binary64)))))) c) (/.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b) (*.f64 #s(literal 2 binary64) a)))

(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (/.f64 (/.f64 c #s(literal -1/2 binary64)) b) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 c (/.f64 a (*.f64 b b))) (*.f64 c (/.f64 a (*.f64 b b))))))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 c (/.f64 a (*.f64 b b)))))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))

Calls

1 calls:

30.0ms

Results

Accuracy	Segments	Branch
89.4%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes16.0ms (0.1%)

Counts

24 → 4

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
81.5%	4	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes14.0ms (0.1%)

Counts

23 → 4

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
81.5%	4	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes28.0ms (0.1%)

Counts

21 → 2

Calls

Call 1

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

Outputs

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

(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (/.f64 (/.f64 c #s(literal -1/2 binary64)) b) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 c (/.f64 a (*.f64 b b))) (*.f64 c (/.f64 a (*.f64 b b))))))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 c (/.f64 a (*.f64 b b)))))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))

Calls

3 calls:

7.0ms	a
6.0ms	b
6.0ms	c

Results

Accuracy	Segments	Branch
66.1%	1	`c`
66.1%	1	`a`
72.5%	2	`b`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes14.0ms (0.1%)

Counts

20 → 1

Calls

Call 1

Inputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) b) (*.f64 #s(literal 2 binary64) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 b a) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) b) (*.f64 #s(literal 2 binary64) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) c) b) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) b)))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) b)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
(if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 c a) (.f64 b b))) (.f64 b c)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) b) (*.f64 #s(literal 2 binary64) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))) (-.f64 #s(literal 0 binary64) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) (.f64 b b)))) b) (.f64 #s(literal 2 binary64) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 c a) b)) (.f64 b #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
(if (>=.f64 b #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) (/.f64 c (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (.f64 c (.f64 a #s(literal -2 binary64))) (.f64 b b)))))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (.f64 b b))))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 c (.f64 a #s(literal -2 binary64))) (.f64 b b))))) b) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (.f64 b b))) (-.f64 #s(literal 0 binary64) b)) (*.f64 #s(literal 2 binary64) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (.f64 b b))))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 b #s(literal 2 binary64)) (.f64 b #s(literal 2 binary64)))) (+.f64 #s(literal 0 binary64) (.f64 b #s(literal 2 binary64))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (.f64 b b))))) (/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a #s(literal 1/2 binary64))) (.f64 (/.f64 a #s(literal 1/2 binary64)) b)) (.f64 (/.f64 a #s(literal 1/2 binary64)) (/.f64 a #s(literal 1/2 binary64)))))
(if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 a b) (/.f64 b a)) (/.f64 (.f64 b b) (.f64 c c)))) (+.f64 (/.f64 a b) (/.f64 b c))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) b) (.f64 #s(literal 2 binary64) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 (.f64 c (.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (/.f64 (.f64 c (.f64 a a)) (.f64 b (.f64 b b)))))) (.f64 b #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (.f64 b b))))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))) (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (*.f64 b (+.f64 b (-.f64 #s(literal 0 binary64) b))))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (.f64 b b))))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))) (.f64 b b)) (.f64 (.f64 b b) (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))))) (.f64 b (.f64 b (*.f64 b b))))))
(if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 (/.f64 (/.f64 c #s(literal -1/2 binary64)) b) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) (.f64 (.f64 c (/.f64 a (.f64 b b))) (.f64 c (/.f64 a (.f64 b b))))))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 c (/.f64 a (.f64 b b)))))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))

Outputs

(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (*.f64 b b))) (-.f64 #s(literal 0 binary64) b)))

Calls

2 calls:

6.0ms	a
6.0ms	b

Results

Accuracy	Segments	Branch
66.1%	1	`a`
66.1%	1	`b`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes9.0ms (0%)

Accuracy

Total -20.1b remaining (-92.9%)

Threshold costs -20.1b (-92.9%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) b) (*.f64 #s(literal 2 binary64) a)))

Calls

3 calls:

3.0ms	a
3.0ms	c
2.0ms	b

Results

Accuracy	Segments	Branch
66.1%	1	`c`
66.1%	1	`b`
66.1%	1	`a`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch60.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.7136763705042575e+96	8.143926527405821e+96
42.0ms	-7.125075327615008e+155	-2.5543449657055862e+151

Results

46.0ms	208×	0	valid
1.0ms	8×	0	invalid

Compiler

Compiled 885 to 556 computations (37.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 28.0ms (70.1% of total)

ival-div: 3.0ms (7.5% of total)

ival-sub: 2.0ms (5% of total)

ival-sqrt: 2.0ms (5% of total)

ival->=: 2.0ms (5% of total)

ival-add: 1.0ms (2.5% of total)

ival-if: 1.0ms (2.5% of total)

ival-neg: 1.0ms (2.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch2.2s (10.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
836.0ms	2.2805279629438618e+42	1.2646548525277197e+44
1.4s	-7.125075327615008e+155	-2.5543449657055862e+151

Results

837.0ms	176×	0	valid
2.0ms	13×	0	invalid

Compiler

Compiled 969 to 513 computations (47.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 833.0ms

ival-mult: 822.0ms (98.7% of total)

ival-div: 3.0ms (0.4% of total)

ival-sub: 2.0ms (0.2% of total)

ival-sqrt: 2.0ms (0.2% of total)

ival-add: 1.0ms (0.1% of total)

ival-if: 1.0ms (0.1% of total)

ival->=: 1.0ms (0.1% of total)

ival-neg: 1.0ms (0.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch1.4s (6.3%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	3.0001661022257687e-89	6.864087656514534e-88
41.0ms	-1.8863054446206833e-302	2.794255632600713e-304
1.3s	-8.772395788219055e-54	-2.732768019257769e-62

Results

1.3s	416×	0	valid
22.0ms	154×	0	invalid

Compiler

Compiled 1773 to 1130 computations (36.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-mult: 1.3s (97.5% of total)

ival-div: 8.0ms (0.6% of total)

ival-sub: 7.0ms (0.5% of total)

ival-sqrt: 4.0ms (0.3% of total)

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

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

ival->=: 3.0ms (0.2% of total)

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

const: 1.0ms (0.1% of total)

backward-pass: 0.0ms (0% of total)

bsearch548.0ms (2.5%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	3.0001661022257687e-89	6.864087656514534e-88
81.0ms	-1.8863054446206833e-302	2.794255632600713e-304
432.0ms	-8.772395788219055e-54	-2.732768019257769e-62

Results

59.0ms	416×	0	valid
32.0ms	165×	0	invalid

Compiler

Compiled 1739 to 1096 computations (37% saved)

Precisions

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

ival-mult: 33.0ms (46% of total)

ival-sqrt: 12.0ms (16.7% of total)

ival-div: 8.0ms (11.1% of total)

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

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

ival-add: 3.0ms (4.2% of total)

ival-if: 3.0ms (4.2% of total)

ival->=: 3.0ms (4.2% of total)

const: 1.0ms (1.4% of total)

backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	3.0001661022257687e-89	6.864087656514534e-88

Results

14.0ms	112×	0	valid
4.0ms	32×	0	invalid

Compiler

Compiled 628 to 354 computations (43.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 5.0ms (38.9% of total)

ival-div: 2.0ms (15.6% of total)

ival-add: 1.0ms (7.8% of total)

ival-if: 1.0ms (7.8% of total)

ival-sub: 1.0ms (7.8% of total)

ival-sqrt: 1.0ms (7.8% of total)

ival->=: 1.0ms (7.8% of total)

ival-neg: 1.0ms (7.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify86.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

526×	`distribute-lft-neg-in_binary64`
372×	`neg-mul-1_binary64`
300×	`cancel-sign-sub_binary64`
274×	`neg-sub0_binary64`
224×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	106	590
1	148	590
2	184	590
3	221	590
4	259	587
5	313	587
6	372	587
7	464	587
8	668	587
9	953	587
10	1186	587
11	1411	587
12	1566	587
13	1674	587
14	1736	587
15	1766	587
16	1781	587
17	1785	587

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -52000000000000002637644622444777931456421280169599249008947373564603507242042282217963950535033116533015760702658980086722093712553726672981143565893632 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) b) (.f64 #s(literal 2 binary64) a))) (if (<=.f64 b #s(literal 8000000000000000398893231775271144136082147883507697212599143444895907192794446523075672122851328 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (.f64 #s(literal 2 binary64) a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) c) b) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))))
(if (<=.f64 b #s(literal -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) b) (.f64 #s(literal 2 binary64) a))) (if (<=.f64 b #s(literal 17000000000000000608314610616618050991947776 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) c) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (.f64 #s(literal 2 binary64) a))) (if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 (/.f64 (/.f64 c #s(literal -1/2 binary64)) b) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) (.f64 (.f64 c (/.f64 a (.f64 b b))) (.f64 c (/.f64 a (.f64 b b))))))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 c (/.f64 a (.f64 b b)))))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))))
(if (<=.f64 b #s(literal -4003012881138527/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))) (-.f64 #s(literal 0 binary64) b))) (if (<=.f64 b #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a))) b) (.f64 #s(literal 2 binary64) a))) (if (<=.f64 b #s(literal 3762771166858711/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 c #s(literal -1/2 binary64)))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b))) (if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 (/.f64 (/.f64 c #s(literal -1/2 binary64)) b) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) (.f64 (.f64 c (/.f64 a (.f64 b b))) (.f64 c (/.f64 a (.f64 b b))))))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 c (/.f64 a (.f64 b b)))))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b))))))
(if (<=.f64 b #s(literal -6211571712111507/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))) (-.f64 #s(literal 0 binary64) b))) (if (<=.f64 b #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a))) b) (.f64 #s(literal 2 binary64) a))) (if (<=.f64 b #s(literal 1567821319524463/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64)))))) c) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b))) (if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 (/.f64 (/.f64 c #s(literal -1/2 binary64)) b) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) (.f64 (.f64 c (/.f64 a (.f64 b b))) (.f64 c (/.f64 a (.f64 b b))))))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 c (/.f64 a (.f64 b b)))))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b))))))
(if (<=.f64 b #s(literal 6092105698723627/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64)))))) c) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b))) (if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 (/.f64 (/.f64 c #s(literal -1/2 binary64)) b) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) (.f64 (.f64 c (/.f64 a (.f64 b b))) (.f64 c (/.f64 a (.f64 b b))))))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 c (/.f64 a (.f64 b b)))))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))) (-.f64 #s(literal 0 binary64) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) b) (*.f64 #s(literal 2 binary64) a)))

Outputs
(if (<=.f64 b #s(literal -52000000000000002637644622444777931456421280169599249008947373564603507242042282217963950535033116533015760702658980086722093712553726672981143565893632 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) b) (.f64 #s(literal 2 binary64) a))) (if (<=.f64 b #s(literal 8000000000000000398893231775271144136082147883507697212599143444895907192794446523075672122851328 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (.f64 #s(literal 2 binary64) a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) c) b) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))))
(if (<=.f64 b #s(literal -52000000000000002637644622444777931456421280169599249008947373564603507242042282217963950535033116533015760702658980086722093712553726672981143565893632 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 b c) (/.f64 a b))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) b) (.f64 a #s(literal 2 binary64)))) (if (<=.f64 b #s(literal 8000000000000000398893231775271144136082147883507697212599143444895907192794446523075672122851328 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (.f64 c #s(literal -2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 c (.f64 a #s(literal -4 binary64))))))) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 a c)))) b) (.f64 a #s(literal 2 binary64)))) (if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) b) (/.f64 #s(literal 1/2 binary64) a)))))
(if (<=.f64 b #s(literal -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) b) (.f64 #s(literal 2 binary64) a))) (if (<=.f64 b #s(literal 17000000000000000608314610616618050991947776 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))))) c) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 c a) #s(literal -4 binary64)))) b) (.f64 #s(literal 2 binary64) a))) (if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 (/.f64 (/.f64 c #s(literal -1/2 binary64)) b) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) (.f64 (.f64 c (/.f64 a (.f64 b b))) (.f64 c (/.f64 a (.f64 b b))))))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 c (/.f64 a (.f64 b b)))))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b)))))
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(if (<=.f64 b #s(literal -4003012881138527/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))) (-.f64 #s(literal 0 binary64) b))) (if (<=.f64 b #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a))) b) (.f64 #s(literal 2 binary64) a))) (if (<=.f64 b #s(literal 3762771166858711/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 c #s(literal -1/2 binary64)))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b))) (if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 (/.f64 (/.f64 c #s(literal -1/2 binary64)) b) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) (.f64 (.f64 c (/.f64 a (.f64 b b))) (.f64 c (/.f64 a (.f64 b b))))))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 c (/.f64 a (.f64 b b)))))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b))))))
(if (<=.f64 b #s(literal -4003012881138527/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 b c) (/.f64 a b))) (.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a)))) (if (<=.f64 b #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 b c) (/.f64 a b))) (/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 a c))) b) (.f64 a #s(literal 2 binary64)))) (if (<=.f64 b #s(literal 3762771166858711/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))) (/.f64 c #s(literal -1/2 binary64)))) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) b) (/.f64 #s(literal 1/2 binary64) a))) (if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 (/.f64 (/.f64 c #s(literal -1/2 binary64)) b) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) (.f64 (.f64 c (/.f64 a (.f64 b b))) (.f64 c (/.f64 a (.f64 b b))))))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 c (/.f64 a (.f64 b b)))))) (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) b) (/.f64 #s(literal 1/2 binary64) a))))))
(if (<=.f64 b #s(literal -6211571712111507/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))) (-.f64 #s(literal 0 binary64) b))) (if (<=.f64 b #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a))) b) (.f64 #s(literal 2 binary64) a))) (if (<=.f64 b #s(literal 1567821319524463/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64)))))) c) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b))) (if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 (/.f64 (/.f64 c #s(literal -1/2 binary64)) b) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) (.f64 (.f64 c (/.f64 a (.f64 b b))) (.f64 c (/.f64 a (.f64 b b))))))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 c (/.f64 a (.f64 b b)))))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b))))))
(if (<=.f64 b #s(literal -6211571712111507/13803492693581127574869511724554050904902217944340773110325048447598592 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 b c) (/.f64 a b))) (.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a)))) (if (<=.f64 b #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 b c) (/.f64 a b))) (/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 a c))) b) (.f64 a #s(literal 2 binary64)))) (if (<=.f64 b #s(literal 1567821319524463/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (.f64 c (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))))) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) b) (/.f64 #s(literal 1/2 binary64) a))) (if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 (/.f64 (/.f64 c #s(literal -1/2 binary64)) b) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) (.f64 (.f64 c (/.f64 a (.f64 b b))) (.f64 c (/.f64 a (.f64 b b))))))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 c (/.f64 a (.f64 b b)))))) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) b) (/.f64 #s(literal 1/2 binary64) a))))))
(if (<=.f64 b #s(literal 6092105698723627/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64)))))) c) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b))) (if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 (/.f64 (/.f64 c #s(literal -1/2 binary64)) b) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) (.f64 (.f64 c (/.f64 a (.f64 b b))) (.f64 c (/.f64 a (.f64 b b))))))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 c (/.f64 a (.f64 b b)))))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (-.f64 #s(literal 0 binary64) b) b))))
(if (<=.f64 b #s(literal 6092105698723627/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (.f64 c (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))))) (.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) b) (/.f64 #s(literal 1/2 binary64) a))) (if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 (/.f64 (/.f64 c #s(literal -1/2 binary64)) b) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 4 binary64) (.f64 (.f64 c (/.f64 a (.f64 b b))) (.f64 c (/.f64 a (.f64 b b))))))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 c (/.f64 a (.f64 b b)))))) (*.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) b) (/.f64 #s(literal 1/2 binary64) a))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))) (-.f64 #s(literal 0 binary64) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 b c) (/.f64 a b))) (.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) b) (*.f64 #s(literal 2 binary64) a)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 b c) (/.f64 a b))) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) b) b) (*.f64 a #s(literal 2 binary64))))

soundness2.7s (12.3%)

Rules

6336×	`-lowering-.f32`
6336×	`-lowering-.f64`
6116×	`-lowering-.f32`
6116×	`-lowering-.f64`
3808×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	1491	19842
1	5391	19335
0	8147	19335
0	32	207
1	167	197
2	1524	197
0	8427	197
0	20	36
1	43	35
2	95	35
3	228	34
4	433	34
5	873	34
6	1776	34
7	4429	34
8	7237	34
0	8024	34
0	1447	20180
1	5248	19196
0	8240	19196
0	56	343
1	387	337
2	3301	324
0	8106	324
0	41	375
1	217	375
2	2048	375
0	8756	375

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
1×	iter limit
1×	node limit

Compiler

Compiled 1862 to 946 computations (49.2% saved)

preprocess54.0ms (0.2%)

Compiler: Compiled 1286 to 252 computations (80.4% saved)

analyze275.0ms (1.3%)

sample2.2s (10%)

preprocess192.0ms (0.9%)

explain325.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify190.0ms (0.9%)

localize238.0ms (1.1%)

series77.0ms (0.4%)

rewrite385.0ms (1.8%)

simplify448.0ms (2%)

eval265.0ms (1.2%)

prune221.0ms (1%)

simplify237.0ms (1.1%)

localize589.0ms (2.7%)

series85.0ms (0.4%)

rewrite547.0ms (2.5%)

simplify512.0ms (2.3%)

eval706.0ms (3.2%)

prune921.0ms (4.2%)

simplify347.0ms (1.6%)

localize586.0ms (2.7%)

series54.0ms (0.2%)

rewrite436.0ms (2%)

simplify491.0ms (2.2%)

eval637.0ms (2.9%)

prune689.0ms (3.1%)

simplify251.0ms (1.1%)

localize827.0ms (3.8%)

series65.0ms (0.3%)

rewrite491.0ms (2.2%)

simplify592.0ms (2.7%)

eval312.0ms (1.4%)

prune453.0ms (2.1%)

regimes84.0ms (0.4%)

regimes36.0ms (0.2%)

regimes16.0ms (0.1%)

regimes14.0ms (0.1%)

regimes28.0ms (0.1%)

regimes14.0ms (0.1%)

regimes9.0ms (0%)

bsearch60.0ms (0.3%)

bsearch2.2s (10.1%)

bsearch1.4s (6.3%)

bsearch548.0ms (2.5%)

bsearch30.0ms (0.1%)

simplify86.0ms (0.4%)

soundness2.7s (12.3%)

preprocess54.0ms (0.2%)

end0.0ms (0%)

Profiling