Metrics for Quadratic roots, full range

analyze203.0ms (1.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	5
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	6
40%	37.4%	56.2%	0.1%	0%	6.2%	0%	7
48.3%	45.2%	48.4%	0.1%	0%	6.2%	0%	8
53%	48.4%	42.9%	0.1%	0%	8.6%	0%	9
58.1%	50.3%	36.3%	0.1%	0%	13.3%	0%	10
66.1%	56.8%	29.1%	0.1%	0%	14%	0%	11
70.4%	58.8%	24.7%	0.1%	0%	16.4%	0%	12

Compiler

Compiled 21 to 15 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-mult: 36.0ms (40% of total)

ival-sub: 15.0ms (16.7% of total)

ival-sqrt: 12.0ms (13.3% of total)

ival-neg: 9.0ms (10% of total)

ival-div: 8.0ms (8.9% of total)

ival-add: 7.0ms (7.8% of total)

const: 3.0ms (3.3% of total)

backward-pass: 1.0ms (1.1% of total)

sample2.7s (16%)

Results

790.0ms	1931×	2	valid
712.0ms	5532×	0	valid
203.0ms	793×	1	valid
101.0ms	997×	0	invalid

Precisions

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

ival-mult: 424.0ms (37.3% of total)

ival-sqrt: 153.0ms (13.5% of total)

backward-pass: 141.0ms (12.4% of total)

ival-div: 122.0ms (10.7% of total)

ival-neg: 106.0ms (9.3% of total)

ival-add: 89.0ms (7.8% of total)

ival-sub: 79.0ms (6.9% of total)

const: 22.0ms (1.9% of total)

Bogosity

preprocess228.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

2302×	`fnmadd-define`
1688×	`div-sub`
1686×	`fma-define`
1682×	`fnmadd-define`
1636×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	165
1	190	150
2	550	140
3	1492	140
4	4618	140
0	14	16
1	34	15
2	73	14
3	172	14
4	296	14
5	528	14
6	1046	14
7	2242	14
8	5180	14
9	7750	14
0	8166	14

Stop Event

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

Calls

Call 1

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

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

Call 2

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

Outputs
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
(/ (- (sqrt (fma a (* c -4) (square b))) b) (* a 2))
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a)))
(/ (- (sqrt (fma 4 (* a c) (square b))) b) (* a -2))
(/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a))
(/ (+ b (sqrt (fma a (* c -4) (square b)))) (* a 2))
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a))
(/ (- (sqrt (fma 4 (* a c) (square b))) b) (* a 2))
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 (neg a)) c)))) (* 2 (neg a))))
(/ (- (sqrt (fma 4 (* a c) (square b))) b) (* a 2))
(neg (/ (+ (neg (neg b)) (sqrt (- (* (neg b) (neg b)) (* (* 4 a) c)))) (* 2 a)))
(/ (+ b (sqrt (fma a (* c -4) (square b)))) (* a -2))
(neg (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) (neg c))))) (* 2 a)))
(/ (- (sqrt (fma 4 (* a c) (square b))) b) (* a -2))
(/ (+ (neg a) (sqrt (- (* a a) (* (* 4 b) c)))) (* 2 b))
(/ (- (sqrt (fma b (* c -4) (square a))) a) (* b 2))
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4 c) a)))) (* 2 c))
(/ (- (sqrt (fma a (* c -4) (square b))) b) (* c 2))
(/ (+ (neg c) (sqrt (- (* c c) (* (* 4 a) b)))) (* 2 a))
(/ (- (sqrt (fma b (* a -4) (square c))) c) (* a 2))

explain497.0ms (2.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
104	-	1	(-3.768529557261461e-291 -5.876543543093089e-157 -2.4163353339209607e-221)	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`
52	-	0	-	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`
12	-	1	(-2.2589230622603206e-144 6.705871708965623e-90 -6.04388616680746e-257)	`(/.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))`
4	-	0	-	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`
0	-	0	-	`b`
0	-	0	-	`(*.f64 #s(literal 4 binary64) a)`
0	-	0	-	`(neg.f64 b)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`c`
0	-	0	-	`(*.f64 #s(literal 2 binary64) a)`
0	-	0	-	`(.f64 (.f64 #s(literal 4 binary64) a) c)`
0	-	0	-	`(*.f64 b b)`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`a`

Results

69.0ms	362×	0	valid
64.0ms	110×	2	valid
16.0ms	40×	1	valid

Compiler

Compiled 168 to 44 computations (73.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 21.0ms (36.2% of total)

backward-pass: 9.0ms (15.5% of total)

ival-sqrt: 7.0ms (12.1% of total)

ival-div: 6.0ms (10.3% of total)

ival-neg: 5.0ms (8.6% of total)

ival-sub: 4.0ms (6.9% of total)

ival-add: 4.0ms (6.9% of total)

const: 1.0ms (1.7% of total)

eval0.0ms (0%)

Compiler: Compiled 19 to 13 computations (31.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.7%	(/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b) (.f64 a #s(literal 2 binary64)))

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify143.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

2130×	`fnmadd-define`
1552×	`fma-define`
1440×	`fnmsub-define`
1282×	`fmm-def`
1258×	`fmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	61
1	28	57
2	56	57
3	86	57
4	147	57
5	246	57
6	409	57
7	823	57
8	1955	57
9	4401	57
10	6434	57
11	7229	57
0	8029	57

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize87.0ms (0.5%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.7%	(+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))
✓	accuracy	96.2%	(/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b) (.f64 a #s(literal 2 binary64)))
✓	accuracy	82.0%	(-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b)
✓	accuracy	62.2%	(sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))))

Results

32.0ms	55×	2	valid
31.0ms	181×	0	valid
6.0ms	20×	1	valid

Compiler

Compiled 70 to 14 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 11.0ms (40.7% of total)

ival-sqrt: 4.0ms (14.8% of total)

ival-div: 4.0ms (14.8% of total)

backward-pass: 4.0ms (14.8% of total)

ival-sub: 2.0ms (7.4% of total)

ival-add: 2.0ms (7.4% of total)

const: 1.0ms (3.7% of total)

series24.0ms (0.1%)

Counts

4 → 144

Calls

Call 1

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

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

Calls

36 calls:

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

rewrite280.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3068×	`-lowering-.f32`
3068×	`-lowering-.f64`
2912×	`/-lowering-/.f32`
2912×	`/-lowering-/.f64`
1488×	`sum3-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	39	39
2	147	39
3	777	39
4	7500	39
0	8396	39

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 564

Calls

Call 1

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

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

simplify271.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

5862×	`-lowering-.f32`
5862×	`-lowering-.f64`
2358×	`+-lowering-+.f64`
2358×	`+-lowering-+.f32`
1600×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	543	3071
1	1886	2859
2	7131	2848
0	8022	2848

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(* 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))))))
(* (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))))))))
(* -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))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))

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

eval132.0ms (0.8%)

Compiler: Compiled 19286 to 1983 computations (89.7% saved)

prune123.0ms (0.7%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	685	23	708
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	686	23	709

Accuracy

90.4%

Counts

709 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.9%	(pow.f64 (exp.f64 (log.f64 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b) #s(literal 2 binary64))))) #s(literal -1 binary64))
▶	39.7%	(/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) (/.f64 a b)) a) a) (/.f64 a (/.f64 b #s(literal 2 binary64))))
	25.7%	(/.f64 (/.f64 (.f64 c (.f64 a #s(literal -2 binary64))) b) (*.f64 a #s(literal 2 binary64)))
	38.9%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 a #s(literal 1/2 binary64)) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b)))) (.f64 a (.f64 a #s(literal 4 binary64))))
▶	53.5%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
	40.9%	(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) a) (.f64 (/.f64 (.f64 a #s(literal -2 binary64)) (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))) (/.f64 b #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 a #s(literal -2 binary64)) (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))) a))
	11.9%	(/.f64 (-.f64 (+.f64 b (/.f64 (.f64 c (.f64 a #s(literal -2 binary64))) b)) b) (*.f64 a #s(literal 2 binary64)))
	11.6%	(/.f64 (-.f64 (+.f64 b (.f64 (.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (.f64 a (.f64 c (/.f64 a (.f64 b (.f64 b b)))))))) b) (*.f64 a #s(literal 2 binary64)))
	31.3%	(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) (/.f64 a b)) a) (/.f64 a (/.f64 b (/.f64 a #s(literal 1/2 binary64)))))
	11.6%	(/.f64 (-.f64 (.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (.f64 c (.f64 a #s(literal -2 binary64))) (.f64 b b)))) b) (*.f64 a #s(literal 2 binary64)))
	38.0%	(/.f64 (-.f64 (.f64 a (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))) (*.f64 b a)) (/.f64 a (/.f64 #s(literal 1/2 binary64) a)))
	29.3%	(/.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (.f64 a #s(literal 2 binary64)))
	33.5%	(/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a))) b) (*.f64 a #s(literal 2 binary64)))
	40.4%	(/.f64 (+.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) (.f64 a (/.f64 b (/.f64 a #s(literal 1/2 binary64))))) #s(literal -2 binary64)) (/.f64 (*.f64 a #s(literal 4 binary64)) b))
	52.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (/.f64 a (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))))) (.f64 #s(literal -2 binary64) (/.f64 b a)))))
	53.4%	(-.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64))))
	31.8%	(-.f64 #s(literal 0 binary64) (/.f64 c b))
▶	37.1%	(-.f64 #s(literal 0 binary64) (/.f64 b a))
▶	53.5%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b))
	36.6%	(.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))) (-.f64 #s(literal 0 binary64) b))
▶	31.1%	(.f64 c (+.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 #s(literal 0 binary64) (.f64 c (/.f64 a (.f64 b (.f64 b b)))))))
	23.6%	(.f64 c (+.f64 (.f64 c (-.f64 (/.f64 (.f64 #s(literal -2 binary64) (.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)))
	25.9%	(exp.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b) #s(literal 2 binary64))))))

Compiler

Compiled 1018 to 674 computations (33.8% saved)

simplify206.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

3132×	`-lowering-.f32`
3132×	`-lowering-.f64`
2116×	`/-lowering-/.f32`
2116×	`/-lowering-/.f64`
1332×	`sum3-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	305
1	94	286
2	253	285
3	733	283
4	2034	281
5	5985	281
0	8061	281

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize333.0ms (1.9%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	86.6%	(/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) (/.f64 a b)) a) a)
✓	accuracy	82.5%	(.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) (/.f64 a b))
✓	accuracy	77.0%	(/.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) (/.f64 a b)) a) a) (/.f64 a (/.f64 b #s(literal 2 binary64))))
✓	accuracy	62.2%	(sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))))
✓	accuracy	98.7%	(+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))
✓	accuracy	95.6%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
✓	accuracy	82.0%	(-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b)
✓	accuracy	62.2%	(sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))))
✓	accuracy	99.9%	(.f64 b (.f64 b b))
✓	accuracy	98.3%	(.f64 c (+.f64 (/.f64 #s(literal -1 binary64) b) (-.f64 #s(literal 0 binary64) (.f64 c (/.f64 a (.f64 b (.f64 b b)))))))
✓	accuracy	93.0%	(/.f64 a (.f64 b (.f64 b b)))
✓	accuracy	92.0%	(.f64 c (/.f64 a (.f64 b (*.f64 b b))))
✓	accuracy	100.0%	(/.f64 b a)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (/.f64 b a))
✓	accuracy	98.7%	(+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))
✓	accuracy	96.0%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b))
✓	accuracy	82.0%	(-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b)
✓	accuracy	62.2%	(sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))))

Results

104.0ms	181×	0	valid
77.0ms	37×	2	valid
45.0ms	18×	3	valid
36.0ms	20×	1	valid

Compiler

Compiled 357 to 37 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-div: 29.0ms (33.6% of total)

ival-mult: 20.0ms (23.1% of total)

backward-pass: 15.0ms (17.4% of total)

ival-add: 8.0ms (9.3% of total)

ival-sub: 8.0ms (9.3% of total)

ival-sqrt: 4.0ms (4.6% of total)

const: 1.0ms (1.2% of total)

series66.0ms (0.4%)

Counts

21 → 624

Calls

Call 1

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

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

Calls

156 calls:

Time	Variable		Point	Expression
7.0ms	c	@	0	(* c (+ (/ -1 b) (- 0 (* c (/ a (* b (* b b)))))))
5.0ms	b	@	0	(/ (- (* (sqrt (+ (* b b) (* a (* c -4)))) (/ a b)) a) a)
3.0ms	c	@	inf	(/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b))
3.0ms	a	@	-inf	(* (sqrt (+ (* b b) (* a (* c -4)))) (/ a b))
2.0ms	c	@	-inf	(/ (/ (- (* (sqrt (+ (* b b) (* a (* c -4)))) (/ a b)) a) a) (/ a (/ b 2)))

rewrite233.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3386×	`-lowering-.f32`
3386×	`-lowering-.f64`
3242×	`/-lowering-/.f32`
3242×	`/-lowering-/.f64`
1598×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	200
1	164	186
2	903	180
3	7851	180
0	8039	180

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 917

Calls

Call 1

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

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

simplify415.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

6484×	`-lowering-.f32`
6484×	`-lowering-.f64`
3860×	`+-lowering-+.f64`
3860×	`+-lowering-+.f32`
1620×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1252	10818
1	4511	10104
0	8311	10104

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 624

Calls

Call 1

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

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

eval278.0ms (1.6%)

Compiler: Compiled 41147 to 4335 computations (89.5% saved)

prune547.0ms (3.2%)

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	1743	23	1766
Fresh	12	6	18
Picked	4	1	5
Done	0	0	0
Total	1759	30	1789

Accuracy

90.4%

Counts

1789 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.1%	(/.f64 (fma.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (/.f64 a (/.f64 b #s(literal 2 binary64))))
	36.7%	(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a b)) a) a) (/.f64 a (/.f64 b #s(literal 2 binary64))))
	15.9%	(/.f64 (/.f64 (-.f64 (.f64 (+.f64 b (.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b))) (/.f64 a b)) a) a) (/.f64 a (/.f64 b #s(literal 2 binary64))))
▶	47.0%	(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b)) (/.f64 a b)) #s(literal 2 binary64))
	48.7%	(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b)) a) (/.f64 #s(literal 2 binary64) b))
	47.1%	(/.f64 (/.f64 b a) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b))))
	24.2%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c))
	28.4%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 a b) (/.f64 b c)) a))
▶	23.5%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (.f64 c (/.f64 a (.f64 b (.f64 b b)))))) (/.f64 b a)) c))
	37.0%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
	25.8%	(/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 c a))))
	26.1%	(/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 c a)))))
	24.9%	(/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b) (/.f64 (/.f64 a b) #s(literal 1/2 binary64))) (/.f64 (/.f64 a b) #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 a b) #s(literal 1/2 binary64)) (/.f64 (/.f64 a b) #s(literal 1/2 binary64))))
	38.0%	(/.f64 (-.f64 (.f64 a (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))) (*.f64 b a)) (/.f64 a (/.f64 #s(literal 1/2 binary64) a)))
	33.5%	(/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a))) b) (*.f64 a #s(literal 2 binary64)))
▶	11.3%	(/.f64 (.f64 a (.f64 c c)) (neg.f64 (.f64 b (.f64 b b))))
	52.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (/.f64 a (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))))) (.f64 #s(literal -2 binary64) (/.f64 b a)))))
▶	53.4%	(-.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64))))
	31.8%	(-.f64 #s(literal 0 binary64) (/.f64 c b))
	37.0%	(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a)))
	19.2%	(-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))
✓	53.5%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b))
	29.2%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (.f64 b b)) b))
	33.5%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (.f64 a (*.f64 c #s(literal -4 binary64)))) b))
	25.7%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)))
	37.0%	(*.f64 (/.f64 #s(literal -1 binary64) a) b)
	36.6%	(.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))) (-.f64 #s(literal 0 binary64) b))
	31.7%	(*.f64 c (/.f64 #s(literal -1 binary64) b))
▶	37.1%	(neg.f64 (/.f64 b a))
	25.9%	(exp.f64 (.f64 (log.f64 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b) #s(literal 2 binary64)))) #s(literal -1 binary64)))

Compiler

Compiled 1069 to 715 computations (33.1% saved)

simplify158.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b)
✓	cost-diff	0	(+.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b)) (/.f64 a b))
✓	cost-diff	0	(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b)) (/.f64 a b)) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (-.f64 (.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (.f64 c (/.f64 a (.f64 b (.f64 b b)))))) (/.f64 b a)) c)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) a)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (.f64 c (/.f64 a (.f64 b (.f64 b b)))))) (/.f64 b a)) c))
✓	cost-diff	128	(.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (.f64 c (/.f64 a (.f64 b (.f64 b b))))))
✓	cost-diff	0	(.f64 b (.f64 b b))
✓	cost-diff	0	(*.f64 c c)
✓	cost-diff	0	(.f64 a (.f64 c c))
✓	cost-diff	0	(/.f64 (.f64 a (.f64 c c)) (neg.f64 (.f64 b (.f64 b b))))
✓	cost-diff	-64	(neg.f64 (/.f64 b a))
✓	cost-diff	0	(/.f64 b a)
✓	cost-diff	0	(/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64)))
✓	cost-diff	0	(/.f64 b a)
✓	cost-diff	0	(/.f64 (/.f64 b a) #s(literal -2 binary64))
✓	cost-diff	0	(-.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64))))

Rules

2044×	`-lowering-.f32`
2044×	`-lowering-.f64`
1754×	`sum3-define`
1454×	`sum5-define`
1182×	`/-lowering-/.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	38	309
1	104	294
2	290	293
3	833	292
4	2020	291
5	4030	286
6	7604	286
0	8176	286

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize430.0ms (2.5%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.7%	(+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))
✓	accuracy	86.4%	(+.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b))
✓	accuracy	77.0%	(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b)) (/.f64 a b))
✓	accuracy	62.2%	(sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))))
✓	accuracy	93.0%	(/.f64 a (.f64 b (.f64 b b)))
✓	accuracy	92.0%	(.f64 c (/.f64 a (.f64 b (*.f64 b b))))
✓	accuracy	90.1%	(/.f64 (-.f64 (.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (.f64 c (/.f64 a (.f64 b (.f64 b b)))))) (/.f64 b a)) c)
✓	accuracy	88.0%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (.f64 c (/.f64 a (.f64 b (.f64 b b)))))) (/.f64 b a)) c))
✓	accuracy	100.0%	(neg.f64 (.f64 b (.f64 b b)))
✓	accuracy	99.9%	(.f64 b (.f64 b b))
✓	accuracy	89.3%	(.f64 a (.f64 c c))
✓	accuracy	76.5%	(/.f64 (.f64 a (.f64 c c)) (neg.f64 (.f64 b (.f64 b b))))
✓	accuracy	100.0%	(/.f64 b a)
✓	accuracy	100.0%	(neg.f64 (/.f64 b a))
✓	accuracy	99.9%	(/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64)))
✓	accuracy	98.7%	(+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))
✓	accuracy	75.6%	(-.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64))))
✓	accuracy	62.2%	(sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))))

Results

192.0ms	181×	0	valid
62.0ms	35×	2	valid
53.0ms	20×	3	valid
53.0ms	20×	1	valid

Compiler

Compiled 363 to 39 computations (89.3% saved)

Precisions

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

ival-div: 42.0ms (36.6% of total)

ival-mult: 34.0ms (29.7% of total)

backward-pass: 13.0ms (11.3% of total)

ival-add: 10.0ms (8.7% of total)

ival-neg: 5.0ms (4.4% of total)

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

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

const: 1.0ms (0.9% of total)

series78.0ms (0.5%)

Counts

22 → 636

Calls

Call 1

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

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

Calls

159 calls:

Time	Variable		Point	Expression
2.0ms	b	@	inf	(* c (+ (/ 1 b) (* c (/ a (* b (* b b))))))
1.0ms	a	@	0	(/ (* a (* c c)) (neg (* b (* b b))))
1.0ms	b	@	0	(/ (* a (* c c)) (neg (* b (* b b))))
1.0ms	b	@	inf	(- (/ (/ b a) -2) (/ (sqrt (+ (* b b) (* a (* c -4)))) (* a -2)))
1.0ms	c	@	inf	(/ (/ 1 a) (/ (- (* c (+ (/ 1 b) (* c (/ a (* b (* b b)))))) (/ b a)) c))

rewrite681.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

4626×	`-lowering-.f32`
4626×	`-lowering-.f64`
3340×	`/-lowering-/.f32`
3340×	`/-lowering-/.f64`
1130×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	206
1	187	190
2	1169	190
0	9004	190

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1121

Calls

Call 1

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

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

simplify903.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

6538×	`-lowering-.f32`
6538×	`-lowering-.f64`
4660×	`+-lowering-+.f64`
4660×	`+-lowering-+.f32`
1390×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1210	9923
1	4328	9339
0	8761	9339

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 636

Calls

Call 1

Inputs
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(- (* -1/2 (/ b a)) (* -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)))) (* -1/2 (* (sqrt (/ c a)) (sqrt -4))))
(* -1 (/ c b))
(/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b)
(/ (- (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ c (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (- (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (- (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)) (/ c (pow b 2)))))
(* -1 (* b (- (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (/ 1 a)) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))))))
(* -1 (/ c b))
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b))
(- (* a (- (* -2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b))
(- (* a (- (* a (- (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c 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))))) (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(- (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(- (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(- (* -1 (/ (+ (* -1 (/ (- (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (- (* -2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))
(* c (- (* c (- (* c (- (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (- (* -1/2 (/ b (* a c))) (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (- (+ (* -1/2 (/ b (* a c))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))) (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (- (+ (* -1/2 (/ b (* a c))) (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (- (* 1/2 (/ b (* a c))) (* -1 (* (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)) (* -1 (* (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)) (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(* -1/2 (/ b a))
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(/ b a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -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))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))))))
(* -1/2 (/ b a))
(* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a))))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a))))
(* 1/2 (/ b a))
(* -1 (* b (- (/ c (pow b 2)) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))))
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (* 1/2 (/ 1 a)))))
(* -1/2 (/ b a))
(/ (+ (* -1/2 b) (/ (* a c) b)) a)
(/ (+ (* -1/2 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1/2 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))
(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1/2 (/ b a))
(+ (* -1/2 (/ b a)) (/ c b))
(+ (* -1/2 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1/2 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1))))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))))))))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* -1 (/ (* a (pow c 2)) (pow b 3)))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(* a (pow c 2))
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow c 2)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(pow b 3)
(/ c b)
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(* c (+ (/ 1 b) (/ (* a c) (pow b 3))))
(/ (* a (pow c 2)) (pow b 3))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(/ (* a (pow c 2)) (pow b 3))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))
(/ (* a (pow c 2)) (pow b 3))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3))
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3))
(/ c b)
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)
(/ c b)
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))
(/ c b)
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3)))
(/ (* a (pow c 2)) (pow b 3))
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))
(/ (* a (pow c 2)) (pow b 3))
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))))
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))))
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))))
(* -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))) (/ (pow c 2) (pow b 3)))))
(+ (* -1 (/ c b)) (* a (- (* a (- (* -1 (* a (+ (* 2 (/ (pow c 4) (pow b 7))) (/ (pow c 4) (pow b 7))))) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))))
(/ (pow b 3) (* (pow a 2) c))
(/ (+ (* -1 (/ (pow b 5) (* a (pow c 2)))) (/ (pow b 3) c)) (pow a 2))
(/ (- (+ (* 2 (/ (pow b 7) (* (pow a 2) (pow c 3)))) (/ (pow b 3) c)) (/ (pow b 5) (* a (pow c 2)))) (pow a 2))
(/ (- (+ (* -1 (/ (+ (* 2 (/ (pow b 9) (pow c 4))) (/ (pow b 9) (pow c 4))) (pow a 3))) (/ (pow b 3) c)) (+ (* -2 (/ (pow b 7) (* (pow a 2) (pow c 3)))) (/ (pow b 5) (* a (pow c 2))))) (pow a 2))
(/ (pow b 3) (* (pow a 2) c))
(/ (+ (* -1 (/ (pow b 5) (* a (pow c 2)))) (/ (pow b 3) c)) (pow a 2))
(/ (+ (* -1 (/ (+ (* -2 (/ (pow b 7) (* a (pow c 3)))) (/ (pow b 5) (pow c 2))) a)) (/ (pow b 3) c)) (pow a 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (/ (pow b 9) (pow c 4))) (/ (pow b 9) (pow c 4))) a)) (* 2 (/ (pow b 7) (pow c 3)))) a)) (/ (pow b 5) (pow c 2))) a)) (/ (pow b 3) c)) (pow a 2))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (- (* -2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))
(* c (- (* c (- (* c (- (* -1 (* c (+ (* 2 (/ (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)))
(/ (pow b 3) (* (pow a 2) c))
(/ (+ (* -1 (/ (pow b 5) (* (pow a 3) c))) (/ (pow b 3) (pow a 2))) c)
(/ (- (+ (* 2 (/ (pow b 7) (* (pow a 4) (pow c 2)))) (/ (pow b 3) (pow a 2))) (/ (pow b 5) (* (pow a 3) c))) c)
(/ (- (+ (* -1 (/ (+ (* 2 (/ (pow b 9) (pow a 5))) (/ (pow b 9) (pow a 5))) (pow c 3))) (/ (pow b 3) (pow a 2))) (+ (* -2 (/ (pow b 7) (* (pow a 4) (pow c 2)))) (/ (pow b 5) (* (pow a 3) c)))) c)
(/ (pow b 3) (* (pow a 2) c))
(* -1 (/ (+ (* -1 (/ (pow b 3) (pow a 2))) (/ (pow b 5) (* (pow a 3) c))) c))
(* -1 (/ (+ (* -1 (/ (- (* 2 (/ (pow b 7) (* (pow a 4) c))) (/ (pow b 5) (pow a 3))) c)) (* -1 (/ (pow b 3) (pow a 2)))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (pow b 9) (* (pow a 5) c))) (/ (pow b 9) (* (pow a 5) c))) (* 2 (/ (pow b 7) (pow a 4)))) c)) (/ (pow b 5) (pow a 3))) c)) (* -1 (/ (pow b 3) (pow a 2)))) c))
(/ (pow b 3) (* (pow a 2) c))
(* (pow b 3) (+ (* -1 (/ (pow b 2) (* (pow a 3) (pow c 2)))) (/ 1 (* (pow a 2) c))))
(* (pow b 3) (+ (* (pow b 2) (- (* 2 (/ (pow b 2) (* (pow a 4) (pow c 3)))) (/ 1 (* (pow a 3) (pow c 2))))) (/ 1 (* (pow a 2) c))))
(* (pow b 3) (+ (* (pow b 2) (- (* (pow b 2) (+ (* -3 (/ (pow b 2) (* (pow a 5) (pow c 4)))) (* 2 (/ 1 (* (pow a 4) (pow c 3)))))) (/ 1 (* (pow a 3) (pow c 2))))) (/ 1 (* (pow a 2) c))))
(* -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)) (/ (* a (pow c 2)) (pow b 2))) b)
(/ (- (+ (* -1 c) (* -1 (/ (+ (* 2 (* (pow a 3) (pow c 4))) (* (pow a 3) (pow c 4))) (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (- (+ c (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (- (+ c (* -1 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1 (* (pow a 3) (pow c 4)))) (pow b 6)))) (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(* -1 (/ b (* a c)))
(/ (+ (* -1 (/ b a)) (/ c b)) c)
(/ (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) c)
(/ (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) c)
(/ (* a c) (pow b 3))
(* c (+ (/ 1 (* b c)) (/ a (pow b 3))))
(* c (+ (* -1 (/ b (* a (pow c 2)))) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(* c (+ (* -1 (/ b (* a (pow c 2)))) (+ (/ 1 (* b c)) (/ a (pow b 3)))))
(/ (* a c) (pow b 3))
(* -1 (* c (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))))
(* -1 (* c (+ (* -1 (/ a (pow b 3))) (* -1 (/ (+ (* -1 (/ b (* a c))) (/ 1 b)) c)))))
(* -1 (* c (+ (* -1 (/ a (pow b 3))) (* -1 (/ (+ (* -1 (/ b (* a c))) (/ 1 b)) c)))))
(/ (* a c) (pow b 3))
(/ (+ (* a c) (pow b 2)) (pow b 3))
(/ (+ (* a c) (* (pow b 2) (+ 1 (* -1 (/ (pow b 2) (* a c)))))) (pow b 3))
(/ (+ (* a c) (* (pow b 2) (+ 1 (* -1 (/ (pow b 2) (* a c)))))) (pow b 3))
(* -1 (/ b (* a c)))
(* b (- (/ 1 (pow b 2)) (/ 1 (* a c))))
(* b (- (+ (/ 1 (pow b 2)) (/ (* a c) (pow b 4))) (/ 1 (* a c))))
(* b (- (+ (/ 1 (pow b 2)) (/ (* a c) (pow b 4))) (/ 1 (* a c))))
(* -1 (/ b (* a c)))
(* -1 (* b (- (/ 1 (* a c)) (/ 1 (pow b 2)))))
(* -1 (* b (- (+ (* -1 (/ (* a c) (pow b 4))) (/ 1 (* a c))) (/ 1 (pow b 2)))))
(* -1 (* b (- (+ (* -1 (/ (* a c) (pow b 4))) (/ 1 (* a c))) (/ 1 (pow b 2)))))
(* -1 (/ b (* a c)))
(/ (+ (* -1 (/ b c)) (/ a b)) a)
(/ (+ (* -1 (/ b c)) (* a (+ (/ 1 b) (/ (* a c) (pow b 3))))) a)
(/ (+ (* -1 (/ b c)) (* a (+ (/ 1 b) (/ (* a c) (pow b 3))))) a)
(/ (* a c) (pow b 3))
(* a (+ (/ 1 (* a b)) (/ c (pow b 3))))
(* a (+ (* -1 (/ b (* (pow a 2) c))) (+ (/ 1 (* a b)) (/ c (pow b 3)))))
(* a (+ (* -1 (/ b (* (pow a 2) c))) (+ (/ 1 (* a b)) (/ c (pow b 3)))))
(/ (* a c) (pow b 3))
(* -1 (* a (- (* -1 (/ c (pow b 3))) (/ 1 (* a b)))))
(* -1 (* a (+ (* -1 (/ c (pow b 3))) (* -1 (/ (+ (* -1 (/ b (* a c))) (/ 1 b)) a)))))
(* -1 (* a (+ (* -1 (/ c (pow b 3))) (* -1 (/ (+ (* -1 (/ b (* a c))) (/ 1 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))
(+ (* -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 (/ 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))
(+ (* -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 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* -2 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b a)))
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)))
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a))) a)))
(* -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 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1 (/ b (* a 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))))))
(* -2 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b (* a c)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -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))) c)) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))
(* (sqrt (* a c)) (/ (sqrt -4) b))
(/ (+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) b)
(/ (+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) b)
(/ (+ (* 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))) b)
(* -2 (/ (* a c) (pow b 2)))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) (pow b 2))
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) (pow b 2))
(/ (+ (* -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)))))) (pow b 2))
-2
(- (* 2 (/ (* a c) (pow b 2))) 2)
(- (+ (* 2 (/ (* a c) (pow b 2))) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 2)
(- (+ (* 2 (/ (* a c) (pow b 2))) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))))) 2)
(* -2 (/ (* a c) (pow b 2)))
(* a (+ (* -2 (/ c (pow b 2))) (* -2 (/ (* a (pow c 2)) (pow b 4)))))
(* a (+ (* -2 (/ c (pow b 2))) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 6))) (* -2 (/ (pow c 2) (pow b 4)))))))
(* a (+ (* -2 (/ c (pow b 2))) (* a (+ (* -2 (/ (pow c 2) (pow b 4))) (* a (+ (* -4 (/ (pow c 3) (pow b 6))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow b 2)))))))))
(* (sqrt (* a c)) (/ (sqrt -4) b))
(* a (- (* (sqrt (/ c a)) (/ (sqrt -4) b)) (/ 1 a)))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* (sqrt (/ c a)) (/ (sqrt -4) b))) (/ 1 a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* (sqrt (/ c a)) (/ (sqrt -4) b)))) (/ 1 a)))
(* -2 (* (sqrt (* a c)) (/ (sqrt -1) b)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (/ (sqrt -1) b))) (/ 1 a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1)))) 1) a)) (* 2 (* (sqrt (/ c a)) (/ (sqrt -1) b))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 3) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* b (sqrt -1))))) a)) 1) a)) (* 2 (* (sqrt (/ c a)) (/ (sqrt -1) b))))))
(* -2 (/ (* a c) (pow b 2)))
(* c (+ (* -2 (/ a (pow b 2))) (* -2 (/ (* (pow a 2) c) (pow b 4)))))
(* c (+ (* -2 (/ a (pow b 2))) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 6))) (* -2 (/ (pow a 2) (pow b 4)))))))
(* c (+ (* -2 (/ a (pow b 2))) (* c (+ (* -2 (/ (pow a 2) (pow b 4))) (* c (+ (* -4 (/ (pow a 3) (pow b 6))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow b 2)))))))))
(* (sqrt (* a c)) (/ (sqrt -4) b))
(* c (- (* (sqrt (/ a c)) (/ (sqrt -4) b)) (/ 1 c)))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* (sqrt (/ a c)) (/ (sqrt -4) b))) (/ 1 c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* (sqrt (/ a c)) (/ (sqrt -4) b)))) (/ 1 c)))
(* -2 (* (sqrt (* a c)) (/ (sqrt -1) b)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (/ (sqrt -1) b))) (/ 1 c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* b (sqrt -1)))) 1) c)) (* 2 (* (sqrt (/ a c)) (/ (sqrt -1) b))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 3) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* b (sqrt -1))))) c)) 1) c)) (* 2 (* (sqrt (/ a c)) (/ (sqrt -1) b))))))
(* (sqrt (* a c)) (/ (sqrt -4) b))
(/ (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) b)
(/ (+ (* (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))))))) b)
(/ (+ (* (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)
1
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))
(+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
-1
(- (* 2 (/ (* a c) (pow b 2))) 1)
(- (+ (* 2 (/ (* a c) (pow b 2))) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) 1)
(- (+ (* 2 (/ (* a c) (pow b 2))) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))))) 1)
1
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(+ 1 (* a (+ (* -2 (/ c (pow b 2))) (* -2 (/ (* a (pow c 2)) (pow b 4))))))
(+ 1 (* a (+ (* -2 (/ c (pow b 2))) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 6))) (* -2 (/ (pow c 2) (pow b 4))))))))
(* (sqrt (* a c)) (/ (sqrt -4) b))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* (sqrt (/ c a)) (/ (sqrt -4) b))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* (sqrt (/ c a)) (/ (sqrt -4) b)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* (sqrt (/ c a)) (/ (sqrt -4) b))))))
(* -2 (* (sqrt (* a c)) (/ (sqrt -1) b)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (/ (sqrt -1) b))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (/ (sqrt -1) b)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (/ (sqrt -1) b))))))))
1
(+ 1 (* -2 (/ (* a c) (pow b 2))))
(+ 1 (* c (+ (* -2 (/ a (pow b 2))) (* -2 (/ (* (pow a 2) c) (pow b 4))))))
(+ 1 (* c (+ (* -2 (/ a (pow b 2))) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 6))) (* -2 (/ (pow a 2) (pow b 4))))))))
(* (sqrt (* a c)) (/ (sqrt -4) b))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* (sqrt (/ a c)) (/ (sqrt -4) b))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* (sqrt (/ a c)) (/ (sqrt -4) b)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 3) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 5) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* (sqrt (/ a c)) (/ (sqrt -4) b))))))
(* -2 (* (sqrt (* a c)) (/ (sqrt -1) b)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (/ (sqrt -1) b))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (/ (sqrt -1) b)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 3) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 5) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* b (sqrt -1)))) (* 2 (* (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 (* 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))))))))
(* -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))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(* -4 (* a c))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(* -4 (* a c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(* -1 (pow b 3))
(* -1 (pow b 3))
(* -1 (pow b 3))
(* -1 (pow b 3))
(* -1 (pow b 3))
(* -1 (pow b 3))
(* -1 (pow b 3))
(* -1 (pow b 3))
(* -1 (pow b 3))
(* -1 (pow b 3))
(* -1 (pow b 3))
(* -1 (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ (* a c) (pow b 3))
(/ a (pow b 3))
(/ a (pow b 3))
(/ a (pow b 3))
(/ a (pow b 3))
(/ a (pow b 3))
(/ a (pow b 3))
(/ a (pow b 3))
(/ a (pow b 3))
(/ a (pow b 3))
(/ a (pow b 3))
(/ a (pow b 3))
(/ a (pow b 3))
(/ a (pow b 3))
(/ a (pow b 3))
(/ a (pow b 3))
(/ a (pow b 3))
(/ a (pow b 3))
(/ a (pow b 3))
(/ a (pow b 3))
(/ a (pow b 3))
(/ a (pow b 3))
(/ a (pow b 3))
(/ a (pow b 3))
(/ a (pow b 3))

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

eval1.3s (7.4%)

Compiler: Compiled 48576 to 5268 computations (89.2% saved)

prune269.0ms (1.6%)

Pruning

36 alts after pruning (32 fresh and 4 done)

	Pruned	Kept	Total
New	1983	11	1994
Fresh	3	21	24
Picked	2	3	5
Done	0	1	1
Total	1988	36	2024

Accuracy

90.5%

Counts

2024 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.1%	(/.f64 (fma.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (/.f64 a (/.f64 b #s(literal 2 binary64))))
	36.7%	(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a b)) a) a) (/.f64 a (/.f64 b #s(literal 2 binary64))))
	15.9%	(/.f64 (/.f64 (-.f64 (.f64 (+.f64 b (.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b))) (/.f64 a b)) a) a) (/.f64 a (/.f64 b #s(literal 2 binary64))))
	48.7%	(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b)) a) (/.f64 #s(literal 2 binary64) b))
	27.0%	(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a))) b)) (/.f64 a b)) #s(literal 2 binary64))
	47.1%	(/.f64 (/.f64 b a) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b))))
▶	24.2%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c))
	28.4%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 a b) (/.f64 b c)) a))
	37.0%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
	25.8%	(/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 c a))))
	26.1%	(/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 #s(literal -1 binary64) (*.f64 c a)))))
▶	24.9%	(/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b) (/.f64 (/.f64 a b) #s(literal 1/2 binary64))) (/.f64 (/.f64 a b) #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 a b) #s(literal 1/2 binary64)) (/.f64 (/.f64 a b) #s(literal 1/2 binary64))))
	38.0%	(/.f64 (-.f64 (.f64 a (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))) (*.f64 b a)) (/.f64 a (/.f64 #s(literal 1/2 binary64) a)))
	33.5%	(/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a))) b) (*.f64 a #s(literal 2 binary64)))
✓	11.3%	(/.f64 (.f64 a (.f64 c c)) (neg.f64 (.f64 b (.f64 b b))))
	24.5%	(/.f64 (exp.f64 (.f64 (log.f64 (/.f64 a (.f64 (+.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b)) b))) #s(literal -1 binary64))) #s(literal 2 binary64))
	12.6%	(/.f64 (exp.f64 (.f64 (log.f64 a) #s(literal -1 binary64))) (/.f64 (-.f64 (.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (.f64 c (/.f64 a (.f64 b (*.f64 b b)))))) (/.f64 b a)) c))
	24.9%	(/.f64 c (.f64 (-.f64 (.f64 (/.f64 c b) (+.f64 (/.f64 (.f64 a c) (.f64 b b)) #s(literal 1 binary64))) (/.f64 b a)) a))
▶	52.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (/.f64 a (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))))) (.f64 #s(literal -2 binary64) (/.f64 b a)))))
	22.4%	(/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (/.f64 c b) (+.f64 (/.f64 (.f64 a c) (.f64 b b)) #s(literal 1 binary64))) (/.f64 b a)) (/.f64 a c)))
	36.7%	(-.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 a (/.f64 c (.f64 b b)))))) (*.f64 a #s(literal -2 binary64))))
✓	53.4%	(-.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64))))
	7.1%	(-.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) (.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1/2 binary64) a))))
	31.8%	(-.f64 #s(literal 0 binary64) (/.f64 c b))
	36.6%	(-.f64 #s(literal 0 binary64) (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b)))))
✓	53.5%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b))
	29.2%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (.f64 b b)) b))
	33.5%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (.f64 a (*.f64 c #s(literal -4 binary64)))) b))
	25.7%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)))
	37.0%	(*.f64 (/.f64 #s(literal -1 binary64) a) b)
▶	31.7%	(*.f64 c (/.f64 #s(literal -1 binary64) b))
✓	37.1%	(neg.f64 (/.f64 b a))
▶	37.0%	(neg.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)))
	19.2%	(neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))
	25.9%	(exp.f64 (.f64 (log.f64 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b) #s(literal 2 binary64)))) #s(literal -1 binary64)))
	14.4%	(exp.f64 (.f64 (log.f64 (.f64 (-.f64 (.f64 (/.f64 c b) (+.f64 (/.f64 (.f64 a c) (*.f64 b b)) #s(literal 1 binary64))) (/.f64 b a)) (/.f64 a c))) #s(literal -1 binary64)))

Compiler

Compiled 1322 to 876 computations (33.7% saved)

simplify217.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b) (/.f64 (/.f64 a b) #s(literal 1/2 binary64)))
✓	cost-diff	128	(*.f64 (/.f64 (/.f64 a b) #s(literal 1/2 binary64)) (/.f64 (/.f64 a b) #s(literal 1/2 binary64)))
✓	cost-diff	256	(-.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b) (/.f64 (/.f64 a b) #s(literal 1/2 binary64))) (/.f64 (/.f64 a b) #s(literal 1/2 binary64)))
✓	cost-diff	640	(/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b) (/.f64 (/.f64 a b) #s(literal 1/2 binary64))) (/.f64 (/.f64 a b) #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 a b) #s(literal 1/2 binary64)) (/.f64 (/.f64 a b) #s(literal 1/2 binary64))))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) a)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) b)
✓	cost-diff	256	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))
✓	cost-diff	6464	(pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))
✓	cost-diff	0	(-.f64 (/.f64 c b) (/.f64 b a))
✓	cost-diff	0	(/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) a)
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) b)
✓	cost-diff	0	(*.f64 c (/.f64 #s(literal -1 binary64) b))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (/.f64 a (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))))))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 2 binary64) (/.f64 a (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))))) (.f64 #s(literal -2 binary64) (/.f64 b a)))
✓	cost-diff	0	(/.f64 #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (/.f64 a (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))))) (.f64 #s(literal -2 binary64) (/.f64 b a))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (/.f64 a (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))))) (.f64 #s(literal -2 binary64) (/.f64 b a)))))

Rules

4506×	`-lowering-.f32`
4506×	`-lowering-.f64`
3242×	`/-lowering-/.f32`
3242×	`/-lowering-/.f64`
1580×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	331
1	103	309
2	273	292
3	832	287
4	3740	286
0	8585	286

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize311.0ms (1.8%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.7%	(+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))
✓	accuracy	87.6%	(-.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b) (/.f64 (/.f64 a b) #s(literal 1/2 binary64))) (/.f64 (/.f64 a b) #s(literal 1/2 binary64)))
✓	accuracy	62.2%	(sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))))
✓	accuracy	44.2%	(/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b) (/.f64 (/.f64 a b) #s(literal 1/2 binary64))) (/.f64 (/.f64 a b) #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 a b) #s(literal 1/2 binary64)) (/.f64 (/.f64 a b) #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) a)
✓	accuracy	100.0%	(neg.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a)))
✓	accuracy	99.7%	(pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))
✓	accuracy	99.7%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) a)
✓	accuracy	100.0%	(-.f64 (/.f64 c b) (/.f64 b a))
✓	accuracy	90.4%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c))
✓	accuracy	83.9%	(/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c)
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) b)
✓	accuracy	99.7%	(*.f64 c (/.f64 #s(literal -1 binary64) b))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (/.f64 a (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))))) (.f64 #s(literal -2 binary64) (/.f64 b a)))))
✓	accuracy	98.7%	(+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))
✓	accuracy	75.6%	(+.f64 (/.f64 #s(literal 2 binary64) (/.f64 a (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))))) (.f64 #s(literal -2 binary64) (/.f64 b a)))
✓	accuracy	62.2%	(sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))))

Results

99.0ms	181×	0	valid
67.0ms	33×	2	valid
49.0ms	22×	3	valid
25.0ms	20×	1	valid

Compiler

Compiled 372 to 41 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-div: 42.0ms (43% of total)

ival-mult: 21.0ms (21.5% of total)

backward-pass: 13.0ms (13.3% of total)

ival-pow: 6.0ms (6.1% of total)

ival-sub: 4.0ms (4.1% of total)

ival-sqrt: 4.0ms (4.1% of total)

ival-add: 4.0ms (4.1% of total)

const: 2.0ms (2% of total)

ival-neg: 2.0ms (2% of total)

series76.0ms (0.4%)

Counts

20 → 572

Calls

Call 1

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

Outputs
#<alt (* 1/4 (/ (+ (* -2 b) (* 2 b)) a))>
#<alt (/ (+ (* -1 (/ (* a c) b)) (* 1/4 (+ (* -2 b) (* 2 b)))) a)>
#<alt (/ (+ (* 1/4 (+ (* -2 b) (* 2 b))) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)>
#<alt (/ (+ (* 1/4 (+ (* -2 b) (* 2 b))) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))>
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))>
#<alt (+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ c b))>
#<alt (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<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 (* 1/4 (+ (* -2 (/ b a)) (* 2 (/ b a))))>
#<alt (+ (* -1 (/ c b)) (* 1/4 (+ (* -2 (/ b a)) (* 2 (/ b a)))))>
#<alt (+ (* 1/4 (+ (* -2 (/ b a)) (* 2 (/ b a)))) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))>
#<alt (+ (* 1/4 (+ (* -2 (/ b a)) (* 2 (/ b a)))) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))))>
#<alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))>
#<alt (* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))>
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))>
#<alt (* 4 (/ a (+ (* -2 b) (* 2 b))))>
#<alt (* a (+ (* 16 (/ (* a c) (* b (pow (+ (* -2 b) (* 2 b)) 2)))) (* 4 (/ 1 (+ (* -2 b) (* 2 b))))))>
#<alt (* a (+ (* a (- (* -1 (* a (+ (* -64 (/ (pow c 2) (* (pow b 2) (pow (+ (* -2 b) (* 2 b)) 3)))) (* -16 (/ (pow c 2) (* (pow b 3) (pow (+ (* -2 b) (* 2 b)) 2))))))) (* -16 (/ c (* b (pow (+ (* -2 b) (* 2 b)) 2)))))) (* 4 (/ 1 (+ (* -2 b) (* 2 b))))))>
#<alt (* a (+ (* a (- (* a (- (* -1 (* a (+ (* -64 (/ (pow c 3) (* (pow b 4) (pow (+ (* -2 b) (* 2 b)) 3)))) (+ (* -32 (/ (pow c 3) (* (pow b 5) (pow (+ (* -2 b) (* 2 b)) 2)))) (* 4 (/ (* c (+ (* -64 (/ (pow c 2) (* (pow b 2) (pow (+ (* -2 b) (* 2 b)) 3)))) (* -16 (/ (pow c 2) (* (pow b 3) (pow (+ (* -2 b) (* 2 b)) 2)))))) (* b (+ (* -2 b) (* 2 b))))))))) (+ (* -64 (/ (pow c 2) (* (pow b 2) (pow (+ (* -2 b) (* 2 b)) 3)))) (* -16 (/ (pow c 2) (* (pow b 3) (pow (+ (* -2 b) (* 2 b)) 2))))))) (* -16 (/ c (* b (pow (+ (* -2 b) (* 2 b)) 2)))))) (* 4 (/ 1 (+ (* -2 b) (* 2 b))))))>
#<alt (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (+ (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2)))))>
#<alt (- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))) (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (* -2 (/ b (* c (pow (sqrt -4) 2)))))>
#<alt (- (+ (* -1 (/ (+ (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (pow a 3))) (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))>
#<alt (* -1 (* (sqrt (/ a c)) (sqrt -1)))>
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1/2 (/ b c)))>
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* a b) c))) a)))>
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* -1/2 (/ (* a b) c))) a)))>
#<alt (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (+ (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (* c (pow (sqrt -4) 2)))))>
#<alt (+ (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* -1 (* b (+ (* -2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* c (pow (sqrt -4) 2)))))))>
#<alt (+ (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (- (* -1 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4))) (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))))) (+ (* -2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (* 2 (/ 1 (* c (pow (sqrt -4) 2)))))))>
#<alt (* -1 (/ a b))>
#<alt (* -1 (/ (+ a (/ (* (pow a 2) c) (pow b 2))) b))>
#<alt (* -1 (/ (- (+ a (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 4)))) (* -1 (/ (* (pow a 2) c) (pow b 2)))) b))>
#<alt (* -1 (/ (- (+ a (* -1 (/ (+ (* -4 (* (pow a 4) (pow c 3))) (* -1 (* (pow a 4) (pow c 3)))) (pow b 6)))) (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1 (/ (* (pow a 2) c) (pow b 2))))) b))>
#<alt (/ 4 (+ (* -2 (/ b a)) (* 2 (/ b a))))>
#<alt (+ (* 16 (/ c (* b (pow (+ (* -2 (/ b a)) (* 2 (/ b a))) 2)))) (* 4 (/ 1 (+ (* -2 (/ b a)) (* 2 (/ b a))))))>
#<alt (+ (* c (+ (* c (- (* 64 (/ 1 (* (pow b 2) (pow (+ (* -2 (/ b a)) (* 2 (/ b a))) 3)))) (* -16 (/ a (* (pow b 3) (pow (+ (* -2 (/ b a)) (* 2 (/ b a))) 2)))))) (* 16 (/ 1 (* b (pow (+ (* -2 (/ b a)) (* 2 (/ b a))) 2)))))) (* 4 (/ 1 (+ (* -2 (/ b a)) (* 2 (/ b a))))))>
#<alt (+ (* c (+ (* c (- (+ (* -1 (* c (+ (* -64 (/ a (* (pow b 4) (pow (+ (* -2 (/ b a)) (* 2 (/ b a))) 3)))) (+ (* -32 (/ (pow a 2) (* (pow b 5) (pow (+ (* -2 (/ b a)) (* 2 (/ b a))) 2)))) (* -4 (/ (- (* 64 (/ 1 (* (pow b 2) (pow (+ (* -2 (/ b a)) (* 2 (/ b a))) 3)))) (* -16 (/ a (* (pow b 3) (pow (+ (* -2 (/ b a)) (* 2 (/ b a))) 2))))) (* b (+ (* -2 (/ b a)) (* 2 (/ b a)))))))))) (* 64 (/ 1 (* (pow b 2) (pow (+ (* -2 (/ b a)) (* 2 (/ b a))) 3))))) (* -16 (/ a (* (pow b 3) (pow (+ (* -2 (/ b a)) (* 2 (/ b a))) 2)))))) (* 16 (/ 1 (* b (pow (+ (* -2 (/ b a)) (* 2 (/ b a))) 2)))))) (* 4 (/ 1 (+ (* -2 (/ b a)) (* 2 (/ b a))))))>
#<alt (* 2 (* (sqrt (/ a c)) (/ 1 (sqrt -4))))>
#<alt (/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) c)>
#<alt (/ (- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4))))) (* -2 (/ b (pow (sqrt -4) 2)))) c)>
#<alt (/ (- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (pow c 3))) (* 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))) (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))))) c)>
#<alt (* -1 (* (sqrt (/ a c)) (sqrt -1)))>
#<alt (* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* 1/2 (* b c))) c)) (* (sqrt (* a c)) (sqrt -1))) c))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/16 (/ (* (pow b 3) c) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* 1/2 (* b c))) c)) (* (sqrt (* a c)) (sqrt -1))) c))>
#<alt (/ (+ (* -2 b) (* 2 b)) a)>
#<alt (/ (+ (* -4 (/ (* a c) b)) (+ (* -2 b) (* 2 b))) a)>
#<alt (/ (+ (* -2 b) (+ (* 2 b) (* a (+ (* -4 (/ c b)) (* -4 (/ (* a (pow c 2)) (pow b 3))))))) a)>
#<alt (/ (+ (* -2 b) (+ (* 2 b) (* a (+ (* -4 (/ c b)) (* a (+ (* -8 (/ (* a (pow c 3)) (pow b 5))) (* -4 (/ (pow c 2) (pow b 3))))))))) a)>
#<alt (* 2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -2 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* -2 (/ b a)) (+ (* 2 (* (sqrt (/ c a)) (sqrt -4))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))>
#<alt (+ (* -2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ c a)) (sqrt -4))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (* -4 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (* -2 (/ b a)))>
#<alt (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 2 b)) a)))>
#<alt (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 2 b)) a)))>
#<alt (* 2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* -2 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (+ (* 2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4))) (* 2 (/ 1 a)))))>
#<alt (+ (* 2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4))))) (* 2 (/ 1 a)))))>
#<alt (* -4 (/ c b))>
#<alt (/ (+ (* -4 c) (* -4 (/ (* a (pow c 2)) (pow b 2)))) b)>
#<alt (/ (+ (* -8 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -4 c) (* -4 (/ (* a (pow c 2)) (pow b 2))))) b)>
#<alt (/ (+ (* -8 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -4 c) (+ (* -4 (/ (* a (pow c 2)) (pow b 2))) (* -1 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)>
#<alt (* -4 (/ b a))>
#<alt (* -1 (* b (+ (* -4 (/ c (pow b 2))) (* 4 (/ 1 a)))))>
#<alt (* -1 (* b (+ (* -4 (/ c (pow b 2))) (+ (* -4 (/ (* a (pow c 2)) (pow b 4))) (* 4 (/ 1 a))))))>
#<alt (* -1 (* b (+ (* -8 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -4 (/ c (pow b 2))) (+ (* -4 (/ (* a (pow c 2)) (pow b 4))) (* 4 (/ 1 a)))))))>
#<alt (+ (* -2 (/ b a)) (* 2 (/ b a)))>
#<alt (+ (* -4 (/ c b)) (+ (* -2 (/ b a)) (* 2 (/ b a))))>
#<alt (+ (* -2 (/ b a)) (+ (* 2 (/ b a)) (* c (- (* -4 (/ (* a c) (pow b 3))) (* 4 (/ 1 b))))))>
#<alt (+ (* -2 (/ b a)) (+ (* 2 (/ b a)) (* c (- (* c (+ (* -8 (/ (* (pow a 2) c) (pow b 5))) (* -4 (/ a (pow b 3))))) (* 4 (/ 1 b))))))>
#<alt (* 2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (* c (+ (* -2 (/ b (* a c))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))>
#<alt (* c (+ (* -2 (/ b (* a c))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))>
#<alt (* c (+ (* -2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))>
#<alt (* -4 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 2 (/ b (* a c))) (* 4 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -2 (/ b a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* 4 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -2 (/ b a)) (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c))) c)) (* 4 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))>
#<alt (* 2 (/ b a))>
#<alt (/ (+ (* -4 (/ (* a c) b)) (* 2 b)) a)>
#<alt (/ (+ (* 2 b) (* a (+ (* -4 (/ c b)) (* -4 (/ (* a (pow c 2)) (pow b 3)))))) a)>
#<alt (/ (+ (* 2 b) (* a (+ (* -4 (/ c b)) (* a (+ (* -8 (/ (* a (pow c 3)) (pow b 5))) (* -4 (/ (pow c 2) (pow b 3)))))))) a)>
#<alt (* 2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* 2 (* (sqrt (/ c a)) (sqrt -4))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))>
#<alt (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ c a)) (sqrt -4))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))>
#<alt (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 2 (* (sqrt (/ c a)) (sqrt -4))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (* -4 (* (sqrt (/ c a)) (sqrt -1)))>
#<alt (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))))>
#<alt (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1))))))>
#<alt (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/256 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))))))>
#<alt (* 2 (* (sqrt (/ c a)) (sqrt -4)))>
#<alt (+ (* 2 (* (sqrt (/ c a)) (sqrt -4))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))>
#<alt (+ (* 2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4))))))>
#<alt (+ (* 2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt (* 2 (/ b a))>
#<alt (* b (+ (* -4 (/ c (pow b 2))) (* 2 (/ 1 a))))>
#<alt (* b (+ (* -4 (/ c (pow b 2))) (+ (* -4 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))>
#<alt (* b (+ (* -8 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -4 (/ c (pow b 2))) (+ (* -4 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))))>
#<alt (* -2 (/ b a))>
#<alt (* -1 (* b (+ (* -4 (/ c (pow b 2))) (* 2 (/ 1 a)))))>
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#<alt (* c (- (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ (pow a 3) c)) (/ (sqrt -4) (pow b 2)))) (* (sqrt (/ a (pow c 3))) (/ 1 (sqrt -4))))) (* 2 (/ a (* b c)))))>
#<alt (* -4 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) (pow b 2))))>
#<alt (* -1 (* c (+ (* 2 (/ a (* b c))) (* 4 (* (sqrt (/ (pow a 3) c)) (/ (sqrt -1) (pow b 2)))))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* 2 (/ a b))) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (/ (sqrt -1) (pow b 2)))))))>
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) (* 2 (/ a b))) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (/ (sqrt -1) (pow b 2)))))))>
#<alt (* 4 (/ (pow a 2) (pow b 2)))>
#<alt (* 4 (/ (pow a 2) (pow b 2)))>
#<alt (* 4 (/ (pow a 2) (pow b 2)))>
#<alt (* 4 (/ (pow a 2) (pow b 2)))>
#<alt (* 4 (/ (pow a 2) (pow b 2)))>
#<alt (* 4 (/ (pow a 2) (pow b 2)))>
#<alt (* 4 (/ (pow a 2) (pow b 2)))>
#<alt (* 4 (/ (pow a 2) (pow b 2)))>
#<alt (* 4 (/ (pow a 2) (pow b 2)))>
#<alt (* 4 (/ (pow a 2) (pow b 2)))>
#<alt (* 4 (/ (pow a 2) (pow b 2)))>
#<alt (* 4 (/ (pow a 2) (pow b 2)))>
#<alt (* 4 (/ (pow a 2) (pow b 2)))>
#<alt (* 4 (/ (pow a 2) (pow b 2)))>
#<alt (* 4 (/ (pow a 2) (pow b 2)))>
#<alt (* 4 (/ (pow a 2) (pow b 2)))>
#<alt (* 4 (/ (pow a 2) (pow b 2)))>
#<alt (* 4 (/ (pow a 2) (pow b 2)))>
#<alt (* 4 (/ (pow a 2) (pow b 2)))>
#<alt (* 4 (/ (pow a 2) (pow b 2)))>
#<alt (* 4 (/ (pow a 2) (pow b 2)))>
#<alt (* 4 (/ (pow a 2) (pow b 2)))>
#<alt (* 4 (/ (pow a 2) (pow b 2)))>
#<alt (* 4 (/ (pow a 2) (pow b 2)))>
#<alt (* 2 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) (pow b 2))))>
#<alt (/ (+ (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (pow b 2))>
#<alt (/ (+ (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))))) (pow b 2))>
#<alt (/ (+ (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* (pow b 2) (+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (* (pow b 2) (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) (pow b 2))>
#<alt (* 2 (/ a b))>
#<alt (/ (+ (* -4 (/ (* (pow a 2) c) (pow b 2))) (* 2 a)) b)>
#<alt (/ (+ (* -4 (/ (* (pow a 2) c) (pow b 2))) (+ (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 2 a))) b)>
#<alt (/ (+ (* -8 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -4 (/ (* (pow a 2) c) (pow b 2))) (+ (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 2 a)))) b)>
#<alt (* -2 (/ a b))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 2) c) (pow b 2))) (* 2 a)) b))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 2) c) (pow b 2))) (+ (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 2 a))) b))>
#<alt (* -1 (/ (+ (* -8 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -4 (/ (* (pow a 2) c) (pow b 2))) (+ (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 2 a)))) b))>
#<alt (* 2 (/ a b))>
#<alt (* a (+ (* -4 (/ (* a c) (pow b 3))) (* 2 (/ 1 b))))>
#<alt (* a (+ (* a (+ (* -4 (/ c (pow b 3))) (* -4 (/ (* a (pow c 2)) (pow b 5))))) (* 2 (/ 1 b))))>
#<alt (* a (+ (* a (+ (* -4 (/ c (pow b 3))) (* a (+ (* -8 (/ (* a (pow c 3)) (pow b 7))) (* -4 (/ (pow c 2) (pow b 5))))))) (* 2 (/ 1 b))))>
#<alt (* 2 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) (pow b 2))))>
#<alt (* (pow a 2) (+ (* 2 (* (sqrt (/ c a)) (/ (sqrt -4) (pow b 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))>
#<alt (* (pow a 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ c a)) (/ (sqrt -4) (pow b 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4))))))>
#<alt (* (pow a 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 5)))) (+ (* 2 (* (sqrt (/ c a)) (/ (sqrt -4) (pow b 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))))>
#<alt (* -4 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) (pow b 2))))>
#<alt (* (pow a 2) (+ (* -4 (* (sqrt (/ c a)) (/ (sqrt -1) (pow b 2)))) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1)))))>
#<alt (* (pow a 2) (+ (* -4 (* (sqrt (/ c a)) (/ (sqrt -1) (pow b 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))) (* 1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 2) (sqrt -1)))))))>
#<alt (* (pow a 2) (+ (* -4 (* (sqrt (/ c a)) (/ (sqrt -1) (pow b 2)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))) (+ (* -1/256 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 2) (sqrt -1))))))))>
#<alt (* 2 (/ a b))>
#<alt (+ (* -4 (/ (* (pow a 2) c) (pow b 3))) (* 2 (/ a b)))>
#<alt (+ (* 2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -4 (/ (pow a 2) (pow b 3))))))>
#<alt (+ (* 2 (/ a b)) (* c (+ (* -4 (/ (pow a 2) (pow b 3))) (* c (+ (* -8 (/ (* (pow a 4) c) (pow b 7))) (* -4 (/ (pow a 3) (pow b 5))))))))>
#<alt (* 2 (* (sqrt (* (pow a 3) c)) (/ (sqrt -4) (pow b 2))))>
#<alt (* c (+ (* 2 (* (sqrt (/ (pow a 3) c)) (/ (sqrt -4) (pow b 2)))) (* (sqrt (/ a (pow c 3))) (/ 1 (sqrt -4)))))>
#<alt (* c (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ (pow a 3) c)) (/ (sqrt -4) (pow b 2)))) (* (sqrt (/ a (pow c 3))) (/ 1 (sqrt -4))))))>
#<alt (* c (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (pow b 4) (pow (sqrt -4) 5)))) (+ (* 2 (* (sqrt (/ (pow a 3) c)) (/ (sqrt -4) (pow b 2)))) (* (sqrt (/ a (pow c 3))) (/ 1 (sqrt -4)))))))>
#<alt (* -4 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) (pow b 2))))>
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (sqrt -1))) (* 4 (* (sqrt (/ (pow a 3) c)) (/ (sqrt -1) (pow b 2)))))))>
#<alt (* -1 (* c (+ (* -1/32 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (sqrt -1))) (* 4 (* (sqrt (/ (pow a 3) c)) (/ (sqrt -1) (pow b 2))))))))>
#<alt (* -1 (* c (+ (* -1/32 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b 2) (sqrt -1)))) (+ (* 1/256 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (sqrt -1))) (* 4 (* (sqrt (/ (pow a 3) c)) (/ (sqrt -1) (pow b 2)))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))>
#<alt (+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))>
#<alt b>
#<alt (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 b)>
#<alt (* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))>
#<alt (* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))>
#<alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))>
#<alt b>
#<alt (+ b (* -2 (/ (* a c) b)))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))>
#<alt (* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))>
#<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 (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* a (+ (* -4 c) (/ (pow b 2) a)))>
#<alt (* -4 (* a c))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))>
#<alt (pow 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 (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>
#<alt (* -1 (/ b a))>

Calls

144 calls:

Time	Variable		Point	Expression
16.0ms	b	@	inf	(/ 4 (+ (/ 2 (/ a (sqrt (+ (* b b) (* a (* c -4)))))) (* -2 (/ b a))))
4.0ms	b	@	0	(/ 1 (/ 4 (+ (/ 2 (/ a (sqrt (+ (* b b) (* a (* c -4)))))) (* -2 (/ b a)))))
3.0ms	b	@	0	(/ (- (* (/ (sqrt (+ (* b b) (* a (* c -4)))) b) (/ (/ a b) 1/2)) (/ (/ a b) 1/2)) (* (/ (/ a b) 1/2) (/ (/ a b) 1/2)))
3.0ms	b	@	0	(/ 4 (+ (/ 2 (/ a (sqrt (+ (* b b) (* a (* c -4)))))) (* -2 (/ b a))))
2.0ms	c	@	inf	(/ 4 (+ (/ 2 (/ a (sqrt (+ (* b b) (* a (* c -4)))))) (* -2 (/ b a))))

rewrite505.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

6050×	`-lowering-.f32`
6050×	`-lowering-.f64`
4376×	`/-lowering-/.f32`
4376×	`/-lowering-/.f64`
1900×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	230
1	206	196
2	1531	190
0	8484	190

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 2095

Calls

Call 1

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

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

simplify510.0ms (3%)

Algorithm

1×	egg-herbie

Rules

6862×	`-lowering-.f32`
6862×	`-lowering-.f64`
4120×	`+-lowering-+.f64`
4120×	`+-lowering-+.f32`
1792×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1374	10276
1	4977	9350
0	9398	9350

Stop Event

1×	iter limit
1×	node limit

Counts

572 → 572

Calls

Call 1

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

Outputs
(* 1/4 (/ (+ (* -2 b) (* 2 b)) a))
(/.f64 #s(literal 0 binary64) a)
(/ (+ (* -1 (/ (* a c) b)) (* 1/4 (+ (* -2 b) (* 2 b)))) a)
(/.f64 (*.f64 a (-.f64 #s(literal 0 binary64) (/.f64 c b))) a)
(/ (+ (* 1/4 (+ (* -2 b) (* 2 b))) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a)
(/.f64 (+.f64 (.f64 a (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 (.f64 a (.f64 c c)) (.f64 b (*.f64 b b))))) #s(literal 0 binary64)) a)
(/ (+ (* 1/4 (+ (* -2 b) (* 2 b))) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a)
(/.f64 (+.f64 (.f64 a (-.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))) #s(literal 0 binary64)) a)
(* 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 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a))
(+ (* -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 #s(literal -1/2 binary64) b) a) (+.f64 (+.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 (/.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))))))))
(* -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 #s(literal 1/8 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 b #s(literal 1/2 binary64))) 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 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) a)) a))
(* 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 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) b) a))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (.f64 b (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) 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)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (.f64 b (+.f64 (.f64 b (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (.f64 c (.f64 c c)))) (/.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (sqrt.f64 #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a))))
(* -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 (.f64 #s(literal -2 binary64) (.f64 (.f64 c (.f64 c c)) (.f64 a a))) (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 #s(literal -2 binary64) (.f64 (.f64 c (.f64 c c)) (.f64 a a))) (pow.f64 b #s(literal 4 binary64))) c) (-.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64))) (.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (.f64 a (.f64 c c)) (.f64 b b)))) 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 (.f64 #s(literal -2 binary64) (.f64 (.f64 c (.f64 c c)) (*.f64 a a))) (pow.f64 b #s(literal 6 binary64)))) (-.f64 #s(literal 0 binary64) b))
(* 1/4 (+ (* -2 (/ b a)) (* 2 (/ b a))))
#s(literal 0 binary64)
(+ (* -1 (/ c b)) (* 1/4 (+ (* -2 (/ b a)) (* 2 (/ b a)))))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(+ (* 1/4 (+ (* -2 (/ b a)) (* 2 (/ b a)))) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))
(+.f64 (.f64 c (+.f64 (/.f64 (.f64 a c) (.f64 #s(literal -1 binary64) (.f64 b (*.f64 b b)))) (/.f64 #s(literal -1 binary64) b))) #s(literal 0 binary64))
(+ (* 1/4 (+ (* -2 (/ b a)) (* 2 (/ b a)))) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))))
(+.f64 (.f64 c (+.f64 (.f64 c (-.f64 (/.f64 (.f64 #s(literal -2 binary64) (.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))) #s(literal 0 binary64))
(* 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 a c)) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))))))
(* 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 #s(literal -1/2 binary64) b) (.f64 a c)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))))) (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.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 a c)) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))))) (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 b b) (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 -1/16 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 #s(literal 1/2 binary64) (/.f64 b (.f64 a c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))))
(* -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 a c)))) (/.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 a c)))) (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) b) a) (/.f64 (+.f64 (.f64 #s(literal -1/128 binary64) (.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (pow.f64 a #s(literal 5 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)))
(* 4 (/ a (+ (* -2 b) (* 2 b))))
(/.f64 (*.f64 a #s(literal 4 binary64)) #s(literal 0 binary64))
(* a (+ (* 16 (/ (* a c) (* b (pow (+ (* -2 b) (* 2 b)) 2)))) (* 4 (/ 1 (+ (* -2 b) (* 2 b))))))
(.f64 a (+.f64 (/.f64 (.f64 #s(literal 16 binary64) (*.f64 a c)) #s(literal 0 binary64)) (/.f64 #s(literal 4 binary64) #s(literal 0 binary64))))
(* a (+ (* a (- (* -1 (* a (+ (* -64 (/ (pow c 2) (* (pow b 2) (pow (+ (* -2 b) (* 2 b)) 3)))) (* -16 (/ (pow c 2) (* (pow b 3) (pow (+ (* -2 b) (* 2 b)) 2))))))) (* -16 (/ c (* b (pow (+ (* -2 b) (* 2 b)) 2)))))) (* 4 (/ 1 (+ (* -2 b) (* 2 b))))))
(.f64 a (+.f64 (/.f64 #s(literal 4 binary64) #s(literal 0 binary64)) (.f64 a (+.f64 (.f64 (+.f64 (/.f64 (.f64 #s(literal -64 binary64) (.f64 c c)) (.f64 (.f64 b b) #s(literal 0 binary64))) (/.f64 (.f64 #s(literal -16 binary64) (.f64 c c)) #s(literal 0 binary64))) (neg.f64 a)) (.f64 #s(literal 16 binary64) (/.f64 c #s(literal 0 binary64)))))))
(* a (+ (* a (- (* a (- (* -1 (* a (+ (* -64 (/ (pow c 3) (* (pow b 4) (pow (+ (* -2 b) (* 2 b)) 3)))) (+ (* -32 (/ (pow c 3) (* (pow b 5) (pow (+ (* -2 b) (* 2 b)) 2)))) (* 4 (/ (* c (+ (* -64 (/ (pow c 2) (* (pow b 2) (pow (+ (* -2 b) (* 2 b)) 3)))) (* -16 (/ (pow c 2) (* (pow b 3) (pow (+ (* -2 b) (* 2 b)) 2)))))) (* b (+ (* -2 b) (* 2 b))))))))) (+ (* -64 (/ (pow c 2) (* (pow b 2) (pow (+ (* -2 b) (* 2 b)) 3)))) (* -16 (/ (pow c 2) (* (pow b 3) (pow (+ (* -2 b) (* 2 b)) 2))))))) (* -16 (/ c (* b (pow (+ (* -2 b) (* 2 b)) 2)))))) (* 4 (/ 1 (+ (* -2 b) (* 2 b))))))
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(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))

eval449.0ms (2.6%)

Compiler: Compiled 108080 to 10841 computations (90% saved)

prune495.0ms (2.9%)

Pruning

56 alts after pruning (50 fresh and 6 done)

	Pruned	Kept	Total
New	2750	28	2778
Fresh	5	22	27
Picked	3	2	5
Done	0	4	4
Total	2758	56	2814

Accuracy

90.5%

Counts

2814 → 56

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.1%	(/.f64 (fma.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (/.f64 a (/.f64 b #s(literal 2 binary64))))
	36.7%	(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 a b)) a) a) (/.f64 a (/.f64 b #s(literal 2 binary64))))
	15.9%	(/.f64 (/.f64 (-.f64 (.f64 (+.f64 b (.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b))) (/.f64 a b)) a) a) (/.f64 a (/.f64 b #s(literal 2 binary64))))
	48.7%	(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b)) a) (/.f64 #s(literal 2 binary64) b))
	27.0%	(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a))) b)) (/.f64 a b)) #s(literal 2 binary64))
	24.5%	(/.f64 (/.f64 c (-.f64 (/.f64 c b) (/.f64 b a))) a)
	47.1%	(/.f64 (/.f64 b a) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b))))
	2.2%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 c b) c))
	23.7%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a))) c))
	2.3%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) b))
	37.0%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
	25.9%	(/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (/.f64 c (.f64 c b)) (/.f64 b (.f64 a c))))
	25.8%	(/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 b (*.f64 c a))))
	15.2%	(/.f64 (/.f64 #s(literal 1 binary64) a) (exp.f64 (*.f64 (log.f64 (/.f64 c (-.f64 (/.f64 c b) (/.f64 b a)))) #s(literal -1 binary64))))
	2.8%	(/.f64 (-.f64 (/.f64 (+.f64 (.f64 #s(literal 2 binary64) a) (/.f64 (.f64 #s(literal -4 binary64) (.f64 c (.f64 a a))) (.f64 b b))) b) (/.f64 (/.f64 a b) #s(literal 1/2 binary64))) (.f64 (/.f64 (/.f64 a b) #s(literal 1/2 binary64)) (/.f64 (/.f64 a b) #s(literal 1/2 binary64))))
	24.5%	(/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b) (/.f64 (/.f64 a b) #s(literal 1/2 binary64))) (/.f64 (/.f64 a b) #s(literal 1/2 binary64))) (/.f64 (/.f64 a (*.f64 b (/.f64 b a))) #s(literal 1/4 binary64)))
	38.0%	(/.f64 (-.f64 (.f64 a (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))) (*.f64 b a)) (/.f64 a (/.f64 #s(literal 1/2 binary64) a)))
	33.5%	(/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a))) b) (*.f64 a #s(literal 2 binary64)))
	20.1%	(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 a #s(literal 4 binary64)) b)) (.f64 (/.f64 (/.f64 a b) #s(literal 1/2 binary64)) (/.f64 (/.f64 a b) #s(literal 1/2 binary64))))
	31.8%	(/.f64 (-.f64 #s(literal 0 binary64) c) b)
✓	11.3%	(/.f64 (.f64 a (.f64 c c)) (neg.f64 (.f64 b (.f64 b b))))
	23.9%	(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 b (.f64 a #s(literal 4 binary64)))) (.f64 a a))
	24.5%	(/.f64 (exp.f64 (.f64 (log.f64 (/.f64 a (.f64 (+.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b)) b))) #s(literal -1 binary64))) #s(literal 2 binary64))
	13.0%	(/.f64 (exp.f64 (*.f64 (log.f64 a) #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c))
	24.9%	(/.f64 c (.f64 (-.f64 (.f64 (/.f64 c b) (+.f64 (/.f64 (.f64 a c) (.f64 b b)) #s(literal 1 binary64))) (/.f64 b a)) a))
	2.3%	(/.f64 b a)
	26.4%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (/.f64 c b) (/.f64 b a)) a) c))
	31.5%	(/.f64 #s(literal 1 binary64) (/.f64 b (-.f64 #s(literal 0 binary64) c)))
✓	52.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (/.f64 a (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))))) (.f64 #s(literal -2 binary64) (/.f64 b a)))))
	7.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (+.f64 (.f64 b (+.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 (.f64 c #s(literal -4 binary64)) (.f64 b b)))) (.f64 #s(literal -2 binary64) (/.f64 b a)))))
	37.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 #s(literal -4 binary64) (/.f64 b a))))
	22.4%	(/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (/.f64 c b) (+.f64 (/.f64 (.f64 a c) (.f64 b b)) #s(literal 1 binary64))) (/.f64 b a)) (/.f64 a c)))
	36.7%	(-.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 a (/.f64 c (.f64 b b)))))) (*.f64 a #s(literal -2 binary64))))
✓	53.4%	(-.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64))))
	7.1%	(-.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) (.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1/2 binary64) a))))
	36.6%	(-.f64 #s(literal 0 binary64) (.f64 b (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b)))))
	26.4%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (/.f64 c b) (/.f64 b a))) c)
	24.5%	(*.f64 (/.f64 c (-.f64 (/.f64 c b) (/.f64 b a))) (/.f64 #s(literal 1 binary64) a))
	24.0%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 c b) (/.f64 b a))) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) c) a) #s(literal -1 binary64)))
	24.0%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 c b) (/.f64 b a))) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) c)))
✓	53.5%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b))
	29.2%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (.f64 b b)) b))
	33.5%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (.f64 a (*.f64 c #s(literal -4 binary64)))) b))
	37.0%	(*.f64 (/.f64 #s(literal -1 binary64) a) b)
✓	31.7%	(*.f64 c (/.f64 #s(literal -1 binary64) b))
✓	37.1%	(neg.f64 (/.f64 b a))
	37.0%	(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) a)))
	33.6%	(neg.f64 (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) b))) (/.f64 #s(literal -1 binary64) a)))
	37.0%	(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) a)))
	33.7%	(neg.f64 (*.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) b))) (/.f64 #s(literal -1 binary64) a)))
	19.2%	(neg.f64 (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))
	15.0%	(exp.f64 (+.f64 (*.f64 (log.f64 a) #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) b))))
	17.4%	(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (-.f64 (/.f64 c b) (/.f64 b a)) a) c)) #s(literal -1 binary64)))
	25.9%	(exp.f64 (.f64 (log.f64 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b) #s(literal 2 binary64)))) #s(literal -1 binary64)))
	14.4%	(exp.f64 (.f64 (log.f64 (.f64 (-.f64 (.f64 (/.f64 c b) (+.f64 (/.f64 (.f64 a c) (*.f64 b b)) #s(literal 1 binary64))) (/.f64 b a)) (/.f64 a c))) #s(literal -1 binary64)))
	11.7%	#s(literal 0 binary64)

Compiler

Compiled 2400 to 1000 computations (58.3% saved)

regimes113.0ms (0.7%)

Counts

87 → 3

Calls

Call 1

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

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

Calls

4 calls:

29.0ms	c
29.0ms	a
24.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
23.0ms	b

Results

Accuracy	Segments	Branch
53.7%	1	`a`
87.2%	3	`b`
57.1%	3	`c`
75.4%	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes23.0ms (0.1%)

Counts

53 → 3

Calls

Call 1

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
87.2%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes24.0ms (0.1%)

Counts

52 → 3

Calls

Call 1

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

Outputs

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

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

(-.f64 #s(literal 0 binary64) (/.f64 c b))

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
82.7%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes45.0ms (0.3%)

Counts

51 → 3

Calls

Call 1

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

Outputs

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

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

(-.f64 #s(literal 0 binary64) (/.f64 c b))

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
82.6%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes17.0ms (0.1%)

Counts

50 → 2

Calls

Call 1

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

Outputs
(neg.f64 (/.f64 b a))
(-.f64 #s(literal 0 binary64) (/.f64 c b))

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
66.4%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
66.3%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 b a)
(neg.f64 (/.f64 b a))

Outputs
(neg.f64 (/.f64 b a))
#s(literal 0 binary64)

Calls

3 calls:

5.0ms	a
2.0ms	c
2.0ms	b

Results

Accuracy	Segments	Branch
37.1%	1	`a`
37.1%	1	`c`
46.1%	2	`b`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Accuracy

Total -6.2b remaining (-11%)

Threshold costs -6.2b (-11%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(/.f64 b a)

Outputs
#s(literal 0 binary64)

Calls

3 calls:

2.0ms	b
1.0ms	c
1.0ms	a

Results

Accuracy	Segments	Branch
11.7%	1	`c`
11.7%	1	`a`
11.7%	1	`b`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch41.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
25.0ms	3.1743603857585614e-6	1.4235315730411533e-5
11.0ms	-1.3026917387438657e+157	-2.882375368587518e+153

Results

12.0ms	126×	0	valid
12.0ms	29×	2	valid
4.0ms	21×	1	valid
1.0ms	14×	0	invalid

Compiler

Compiled 340 to 245 computations (27.9% saved)

Precisions

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

ival-mult: 7.0ms (35.7% of total)

ival-neg: 4.0ms (20.4% of total)

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

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

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

backward-pass: 1.0ms (5.1% of total)

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

const: 0.0ms (0% of total)

bsearch49.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	3.1743603857585614e-6	1.4235315730411533e-5
17.0ms	-4.1529368141867233e+117	-8.634485923984709e+116

Results

17.0ms	128×	0	valid
9.0ms	36×	1	valid
9.0ms	28×	2	valid
2.0ms	16×	0	invalid

Compiler

Compiled 368 to 265 computations (28% saved)

Precisions

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

ival-mult: 12.0ms (47.9% of total)

ival-sub: 3.0ms (12% of total)

ival-div: 2.0ms (8% of total)

ival-sqrt: 2.0ms (8% of total)

backward-pass: 2.0ms (8% of total)

ival-neg: 2.0ms (8% of total)

ival-add: 2.0ms (8% of total)

const: 1.0ms (4% of total)

bsearch53.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	3.1743603857585614e-6	1.4235315730411533e-5
23.0ms	-2.048830463713178e-46	-2.705316786715283e-49

Results

18.0ms	172×	0	valid
9.0ms	28×	2	valid
5.0ms	41×	0	invalid
5.0ms	24×	1	valid

Compiler

Compiled 536 to 381 computations (28.9% saved)

Precisions

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

ival-mult: 9.0ms (38.2% of total)

ival-add: 4.0ms (17% of total)

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

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

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

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

const: 1.0ms (4.2% of total)

backward-pass: 1.0ms (4.2% of total)

bsearch55.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	3.1743603857585614e-6	1.4235315730411533e-5
22.0ms	-2.048830463713178e-46	-2.705316786715283e-49

Results

17.0ms	163×	0	valid
10.0ms	29×	2	valid
7.0ms	32×	1	valid
4.0ms	45×	0	invalid

Compiler

Compiled 536 to 381 computations (28.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 9.0ms (38.7% of total)

ival-div: 3.0ms (12.9% of total)

ival-sqrt: 3.0ms (12.9% of total)

backward-pass: 2.0ms (8.6% of total)

ival-sub: 2.0ms (8.6% of total)

ival-neg: 2.0ms (8.6% of total)

ival-add: 2.0ms (8.6% of total)

const: 1.0ms (4.3% of total)

bsearch39.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
34.0ms	-2.721055221397553e-302	3.743394064078613e-304

Results

18.0ms	160×	0	valid
8.0ms	86×	0	invalid

Compiler

Compiled 196 to 149 computations (24% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 6.0ms (34.6% of total)

ival-sub: 4.0ms (23.1% of total)

ival-div: 2.0ms (11.5% of total)

ival-sqrt: 2.0ms (11.5% of total)

ival-add: 1.0ms (5.8% of total)

ival-neg: 1.0ms (5.8% of total)

const: 0.0ms (0% of total)

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

bsearch36.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
32.0ms	-2.721055221397553e-302	3.743394064078613e-304

Results

16.0ms	160×	0	valid
9.0ms	79×	0	invalid

Compiler

Compiled 196 to 149 computations (24% saved)

Precisions

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

ival-mult: 6.0ms (42.4% of total)

ival-div: 2.0ms (14.1% of total)

ival-sqrt: 2.0ms (14.1% of total)

ival-sub: 1.0ms (7.1% of total)

ival-add: 1.0ms (7.1% of total)

ival-neg: 1.0ms (7.1% of total)

const: 0.0ms (0% of total)

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

bsearch22.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	5.787639132257194e-47	1.9968606270922353e-46

Results

8.0ms	21×	2	valid
4.0ms	42×	0	valid
3.0ms	17×	1	valid
1.0ms	12×	0	invalid

Compiler

Compiled 91 to 74 computations (18.7% saved)

Precisions

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

ival-mult: 5.0ms (47.5% of total)

ival-div: 1.0ms (9.5% of total)

ival-sub: 1.0ms (9.5% of total)

backward-pass: 1.0ms (9.5% of total)

ival-neg: 1.0ms (9.5% of total)

ival-sqrt: 1.0ms (9.5% of total)

ival-add: 1.0ms (9.5% of total)

const: 0.0ms (0% of total)

simplify47.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

382×	`distribute-lft-neg-in_binary64`
198×	`neg-mul-1_binary64`
188×	`neg-sub0_binary64`
150×	`sub-neg_binary64`
150×	`cancel-sign-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	75	195
1	107	195
2	132	193
3	167	193
4	217	193
5	319	193
6	443	193
7	534	193
8	653	193
9	783	193
10	920	193
11	1025	193
12	1086	193
13	1122	193
14	1134	193

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -3999999999999999998933612016492614979422156076473746745143360752097478718089695046691679038258268633774677515296114840081570376376516120880532063439028224 binary64)) (neg.f64 (/.f64 b a)) (if (<=.f64 b #s(literal 8028023020878397/1180591620717411303424 binary64)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b) (.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -1050000000000000060082401431600423662931656009119541812101647727316624198738405616627294643398318284530280135372308480 binary64)) (neg.f64 (/.f64 b a)) (if (<=.f64 b #s(literal 944473296573929/295147905179352825856 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b)) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -6911119140749065/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (-.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 a (/.f64 c (.f64 b b)))))) (.f64 a #s(literal -2 binary64)))) (if (<=.f64 b #s(literal 2184094498327211/590295810358705651712 binary64)) (/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a))) b) (.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -7487045735811487/411376139330301510538742295639337626245683966408394965837152256 binary64)) (-.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 a (/.f64 c (.f64 b b)))))) (.f64 a #s(literal -2 binary64)))) (if (<=.f64 b #s(literal 944473296573929/295147905179352825856 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))) b)) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (neg.f64 (/.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(if (<=.f64 b #s(literal 20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (neg.f64 (/.f64 b a)) (*.f64 c (/.f64 #s(literal -1 binary64) b)))
(if (<=.f64 b #s(literal 6170642089954523/102844034832575377634685573909834406561420991602098741459288064 binary64)) (neg.f64 (/.f64 b a)) #s(literal 0 binary64))
#s(literal 0 binary64)

Outputs
(if (<=.f64 b #s(literal -3999999999999999998933612016492614979422156076473746745143360752097478718089695046691679038258268633774677515296114840081570376376516120880532063439028224 binary64)) (neg.f64 (/.f64 b a)) (if (<=.f64 b #s(literal 8028023020878397/1180591620717411303424 binary64)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b) (.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -3999999999999999998933612016492614979422156076473746745143360752097478718089695046691679038258268633774677515296114840081570376376516120880532063439028224 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (if (<=.f64 b #s(literal 8028023020878397/1180591620717411303424 binary64)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b) (.f64 a #s(literal 2 binary64))) (/.f64 c (-.f64 #s(literal 0 binary64) b))))
(if (<=.f64 b #s(literal -1050000000000000060082401431600423662931656009119541812101647727316624198738405616627294643398318284530280135372308480 binary64)) (neg.f64 (/.f64 b a)) (if (<=.f64 b #s(literal 944473296573929/295147905179352825856 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b)) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -1050000000000000060082401431600423662931656009119541812101647727316624198738405616627294643398318284530280135372308480 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (if (<=.f64 b #s(literal 944473296573929/295147905179352825856 binary64)) (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 c (-.f64 #s(literal 0 binary64) b))))
(if (<=.f64 b #s(literal -6911119140749065/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (-.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 a (/.f64 c (.f64 b b)))))) (.f64 a #s(literal -2 binary64)))) (if (<=.f64 b #s(literal 2184094498327211/590295810358705651712 binary64)) (/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a))) b) (.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -6911119140749065/1645504557321206042154969182557350504982735865633579863348609024 binary64)) (+.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (.f64 b (+.f64 (.f64 #s(literal -2 binary64) (.f64 a (/.f64 c (.f64 b b)))) #s(literal 1 binary64))) (.f64 a #s(literal -2 binary64)))) (if (<=.f64 b #s(literal 2184094498327211/590295810358705651712 binary64)) (/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 a c))) b) (.f64 a #s(literal 2 binary64))) (/.f64 c (-.f64 #s(literal 0 binary64) b))))
(if (<=.f64 b #s(literal -7487045735811487/411376139330301510538742295639337626245683966408394965837152256 binary64)) (-.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (.f64 a (/.f64 c (.f64 b b)))))) (.f64 a #s(literal -2 binary64)))) (if (<=.f64 b #s(literal 944473296573929/295147905179352825856 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))) b)) (-.f64 #s(literal 0 binary64) (/.f64 c b))))
(if (<=.f64 b #s(literal -7487045735811487/411376139330301510538742295639337626245683966408394965837152256 binary64)) (+.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (.f64 b (+.f64 (.f64 #s(literal -2 binary64) (.f64 a (/.f64 c (.f64 b b)))) #s(literal 1 binary64))) (.f64 a #s(literal -2 binary64)))) (if (<=.f64 b #s(literal 944473296573929/295147905179352825856 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64)))) b)) (/.f64 c (-.f64 #s(literal 0 binary64) b))))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (neg.f64 (/.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (/.f64 c (-.f64 #s(literal 0 binary64) b)))
(if (<=.f64 b #s(literal 20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (neg.f64 (/.f64 b a)) (*.f64 c (/.f64 #s(literal -1 binary64) b)))
(if (<=.f64 b #s(literal 20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) (*.f64 c (/.f64 #s(literal -1 binary64) b)))
(if (<=.f64 b #s(literal 6170642089954523/102844034832575377634685573909834406561420991602098741459288064 binary64)) (neg.f64 (/.f64 b a)) #s(literal 0 binary64))
(if (<=.f64 b #s(literal 6170642089954523/102844034832575377634685573909834406561420991602098741459288064 binary64)) (/.f64 b (-.f64 #s(literal 0 binary64) a)) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness3.3s (19.2%)

Rules

6862×	`-lowering-.f32`
6862×	`-lowering-.f64`
6538×	`-lowering-.f32`
6538×	`-lowering-.f64`
6484×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1210	9923
1	4328	9339
0	8761	9339
0	1374	10276
1	4977	9350
0	9398	9350
0	543	3071
1	1886	2859
2	7131	2848
0	8022	2848
0	13	43
1	39	39
2	147	39
3	777	39
4	7500	39
0	8396	39
0	36	200
1	164	186
2	903	180
3	7851	180
0	8039	180
0	1252	10818
1	4511	10104
0	8311	10104
0	14	16
1	34	15
2	73	14
3	172	14
4	296	14
5	528	14
6	1046	14
7	2242	14
8	5180	14
9	7750	14
0	8166	14

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
1×	iter limit
1×	node limit

Compiler

Compiled 533 to 330 computations (38.1% saved)

preprocess89.0ms (0.5%)

Compiler: Compiled 452 to 178 computations (60.6% saved)

analyze203.0ms (1.2%)

sample2.7s (16%)

preprocess228.0ms (1.3%)

explain497.0ms (2.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify143.0ms (0.8%)

localize87.0ms (0.5%)

series24.0ms (0.1%)

rewrite280.0ms (1.6%)

simplify271.0ms (1.6%)

eval132.0ms (0.8%)

prune123.0ms (0.7%)

simplify206.0ms (1.2%)

localize333.0ms (1.9%)

series66.0ms (0.4%)

rewrite233.0ms (1.4%)

simplify415.0ms (2.4%)

eval278.0ms (1.6%)

prune547.0ms (3.2%)

simplify158.0ms (0.9%)

localize430.0ms (2.5%)

series78.0ms (0.5%)

rewrite681.0ms (4%)

simplify903.0ms (5.3%)

eval1.3s (7.4%)

prune269.0ms (1.6%)

simplify217.0ms (1.3%)

localize311.0ms (1.8%)

series76.0ms (0.4%)

rewrite505.0ms (3%)

simplify510.0ms (3%)

eval449.0ms (2.6%)

prune495.0ms (2.9%)

regimes113.0ms (0.7%)

regimes23.0ms (0.1%)

regimes24.0ms (0.1%)

regimes45.0ms (0.3%)

regimes17.0ms (0.1%)

regimes3.0ms (0%)

regimes9.0ms (0.1%)

regimes5.0ms (0%)

bsearch41.0ms (0.2%)

bsearch49.0ms (0.3%)

bsearch53.0ms (0.3%)

bsearch55.0ms (0.3%)

bsearch39.0ms (0.2%)

bsearch36.0ms (0.2%)

bsearch22.0ms (0.1%)

simplify47.0ms (0.3%)

soundness3.3s (19.2%)

preprocess89.0ms (0.5%)

end0.0ms (0%)

Profiling