Metrics for The quadratic formula (r2)

analyze282.0ms (1.8%)

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: 93.0ms

ival-mult: 40.0ms (42.9% of total)

ival-sqrt: 17.0ms (18.2% of total)

ival-sub: 14.0ms (15% of total)

ival-neg: 12.0ms (12.9% of total)

ival-div: 8.0ms (8.6% of total)

const: 2.0ms (2.1% of total)

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

sample4.1s (25.8%)

Results

2.5s	1942×	2	valid
627.0ms	5550×	0	valid
157.0ms	764×	1	valid
98.0ms	954×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.9s

ival-sub: 1.0s (54.6% of total)

ival-mult: 460.0ms (23.9% of total)

ival-sqrt: 122.0ms (6.3% of total)

ival-div: 116.0ms (6% of total)

ival-neg: 88.0ms (4.6% of total)

backward-pass: 65.0ms (3.4% of total)

const: 21.0ms (1.1% of total)

Bogosity

preprocess212.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

2518×	`fnmadd-define`
1718×	`fmsub-define`
1692×	`fnmsub-define`
1418×	`fmm-def`
1228×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	165
1	219	158
2	665	144
3	2348	140
4	6982	140
0	14	16
1	39	16
2	101	15
3	270	14
4	494	14
5	1003	14
6	3160	14
7	5806	14
8	6442	14
9	7372	14
10	7537	14
11	7577	14
12	7583	14
0	7583	14

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

explain175.0ms (1.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
108	-	1	(2.246030231855919e-271 8.227508113690603e-160 -2.433572679494326e-258)	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c))))`
60	-	0	-	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))))`
10	-	1	(3.0791452940963544e-78 -1.9370265707163886e+238 -16.16183493077484)	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`
5	-	0	-	`(-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (*.f64 a c)))`
0	-	0	-	`b`
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 b b)`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`(*.f64 a c)`
0	-	0	-	`(.f64 #s(literal 4 binary64) (.f64 a c))`
0	-	0	-	`a`

Results

45.0ms	350×	0	valid
44.0ms	104×	2	valid
17.0ms	58×	1	valid

Compiler

Compiled 168 to 44 computations (73.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 21.0ms (38.5% of total)

ival-sub: 8.0ms (14.7% of total)

ival-sqrt: 7.0ms (12.8% of total)

ival-div: 6.0ms (11% of total)

backward-pass: 6.0ms (11% of total)

ival-neg: 5.0ms (9.2% of total)

const: 1.0ms (1.8% 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
▶	52.6%	(/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))) (.f64 a #s(literal -2 binary64)))

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify7.0ms (0%)

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

Rules

30×	`-lowering-.f32`
30×	`-lowering-.f64`
14×	`fma-lowering-fma.f32`
14×	`fma-define`
14×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	61
1	24	57
2	36	57
3	42	57
0	42	57

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(/ (+ b (sqrt (+ (* b b) (* a (* c -4))))) (* 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)))
(+ b (sqrt (+ (* b b) (* a (* c -4)))))
(+.f64 b (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)
(* 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)

localize68.0ms (0.4%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.4%	(+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))
✓	accuracy	96.4%	(/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))) (.f64 a #s(literal -2 binary64)))
✓	accuracy	78.4%	(+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))))
✓	accuracy	60.8%	(sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))))

Results

24.0ms	175×	0	valid
20.0ms	52×	2	valid
7.0ms	29×	1	valid

Compiler

Compiled 70 to 14 computations (80% saved)

Precisions

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

ival-mult: 11.0ms (44.2% of total)

ival-sqrt: 4.0ms (16.1% of total)

ival-add: 4.0ms (16.1% of total)

ival-div: 3.0ms (12.1% of total)

backward-pass: 3.0ms (12.1% of total)

const: 1.0ms (4% of total)

series20.0ms (0.1%)

Counts

4 → 144

Calls

Call 1

Inputs
#<alt (/ (+ b (sqrt (+ (* b b) (* a (* c -4))))) (* a -2))>
#<alt (+ b (sqrt (+ (* b b) (* a (* c -4)))))>
#<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 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))>
#<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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (/ b a))>
#<alt (* b (- (/ c (pow b 2)) (/ 1 a)))>
#<alt (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 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 a)))>
#<alt (* -1 (/ c b))>
#<alt (* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))>
#<alt (* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ b a))>
#<alt (/ (+ (* -1 b) (/ (* a c) b)) a)>
#<alt (/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)>
#<alt (/ (+ (* -1 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))) (* -1/2 (/ b a)))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))>
#<alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))>
#<alt (* (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 (/ b a))>
#<alt (+ (* -1 (/ b a)) (/ c b))>
#<alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))>
#<alt (+ (* -1 (/ 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))) (* -1/2 (/ b (* a c)))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))>
#<alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))>
#<alt (* (sqrt (/ c a)) (sqrt -1))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))>
#<alt (* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (+ b (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))>
#<alt (* 2 b)>
#<alt (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))>
#<alt (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))>
#<alt (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))>
#<alt (* 2 (/ (* a c) b))>
#<alt (* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))>
#<alt (* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))>
#<alt (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))>
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))>
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))>
#<alt (* 2 b)>
#<alt (+ (* -2 (/ (* a c) b)) (* 2 b))>
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))>
#<alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))>
#<alt (* (sqrt (* a c)) (sqrt -4))>
#<alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))>
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))>
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))>
#<alt (* -2 (* (sqrt (* a c)) (sqrt -1)))>
#<alt (* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))>
#<alt (* (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	@	0	(/ (+ b (sqrt (+ (* b b) (* a (* c -4))))) (* a -2))
1.0ms	a	@	inf	(/ (+ b (sqrt (+ (* b b) (* a (* c -4))))) (* a -2))
1.0ms	b	@	inf	(/ (+ b (sqrt (+ (* b b) (* a (* c -4))))) (* a -2))
1.0ms	a	@	-inf	(/ (+ b (sqrt (+ (* b b) (* a (* c -4))))) (* a -2))
1.0ms	c	@	inf	(/ (+ b (sqrt (+ (* b b) (* a (* c -4))))) (* a -2))

rewrite290.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4016×	`-lowering-.f32`
4016×	`-lowering-.f64`
2468×	`/-lowering-/.f32`
2468×	`/-lowering-/.f64`
2020×	`sum3-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	60	39
2	504	39
3	6397	39
0	8037	39

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 322

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) b) (.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))))))
(+.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) b))
(+.f64 (.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 #s(literal -1/2 binary64) a)))
(+.f64 (.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 #s(literal -1/2 binary64) a)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal -2 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))) a))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.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 (.f64 b b) (-.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 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))))) (.f64 a #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 a #s(literal 2 binary64))) (/.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 b b) (.f64 (.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))))) (/.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) (.f64 (.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))))))
(neg.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))) (.f64 a #s(literal 2 binary64))))
(neg.f64 (.f64 #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 2 binary64)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))))) a))))
(/.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 #s(literal 0 binary64) b) (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 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64))) (.f64 (.f64 a #s(literal -2 binary64)) (+.f64 (.f64 b b) (+.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (.f64 b (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))))))))
(/.f64 (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b b) (+.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (.f64 b (-.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 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64))) (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b b) (+.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (.f64 b (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))))) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b b) (+.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (.f64 b (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))))))) (/.f64 (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64))) (*.f64 a #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))) (/.f64 (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))))) #s(literal -2 binary64))))
(/.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 (.f64 b b) (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) (.f64 (.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))))))
(/.f64 (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) (.f64 (-.f64 #s(literal 0 binary64) (-.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 b b) (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))))))))
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))))) a) #s(literal -2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (.f64 a #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))))))
(/.f64 #s(literal -1 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 2 binary64))))
(/.f64 (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))))) (-.f64 #s(literal 0 binary64) a)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)))) (.f64 (.f64 a #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b b) (+.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (.f64 b (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)))) (.f64 (.f64 a #s(literal 2 binary64)) (+.f64 (.f64 b b) (+.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (.f64 b (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)))) (neg.f64 (.f64 (.f64 a #s(literal -2 binary64)) (+.f64 (.f64 b b) (+.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (.f64 b (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))))))))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 b b)) (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) (.f64 (.f64 a #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))))))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 b b)) (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) (.f64 (.f64 a #s(literal 2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 b b)) (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) (neg.f64 (.f64 (.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))))))))
(/.f64 (+.f64 (.f64 (.f64 b (.f64 b b)) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (pow.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) #s(literal 9/2 binary64))) (.f64 (.f64 (.f64 a #s(literal -2 binary64)) (+.f64 (.f64 b b) (+.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (.f64 b (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))))))) (-.f64 (+.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) (.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))))) (.f64 b (.f64 (.f64 b b) (pow.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)))))))
(/.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 #s(literal 1 binary64) a) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))))) #s(literal -2 binary64)))
(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.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))))))) a))
(/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) (.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))))) (.f64 (.f64 (.f64 a #s(literal -2 binary64)) (+.f64 (.f64 b b) (+.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (.f64 b (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))))))) (-.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) (.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))))) (.f64 (.f64 (.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))))) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) (+.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))))))))
(/.f64 (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))) (.f64 (.f64 (.f64 a #s(literal -2 binary64)) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))))) (+.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))))
(/.f64 (/.f64 (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64))) (.f64 a #s(literal -2 binary64))) (+.f64 (.f64 b b) (+.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (.f64 b (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))))))))
(/.f64 (/.f64 (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))))
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(/.f64 (.f64 (-.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 (.f64 a (.f64 c (.f64 a c))) (.f64 a (.f64 c (.f64 a c)))) #s(literal 256 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a c) (.f64 #s(literal 16 binary64) (.f64 a c)))) (+.f64 (.f64 b b) (.f64 (*.f64 a c) #s(literal 4 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) #s(literal -64 binary64))) #s(literal 1 binary64)) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 (.f64 c #s(literal -4 binary64)) (-.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (*.f64 b b))))))
(/.f64 (.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 c (.f64 a c))) #s(literal -16 binary64))) #s(literal 1 binary64)) (+.f64 (.f64 b b) (.f64 (*.f64 a c) #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) #s(literal -64 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 (.f64 c #s(literal -4 binary64)) (-.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (.f64 b b))))))))
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(/.f64 (.f64 (-.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 (.f64 a (.f64 c (.f64 a c))) (.f64 a (.f64 c (.f64 a c)))) #s(literal 256 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 (.f64 a c) #s(literal 4 binary64))))) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a c) (.f64 #s(literal 16 binary64) (.f64 a c)))))
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(pow.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1 binary64))
(pow.f64 (.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal -1 binary64))
(.f64 (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))))))
(.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) (.f64 (+.f64 (.f64 b b) (.f64 (.f64 a c) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 (*.f64 a c) #s(literal 4 binary64))))))
(.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) (/.f64 (+.f64 (.f64 b b) (.f64 (.f64 a c) #s(literal 4 binary64))) (+.f64 (.f64 b b) (.f64 (.f64 a c) #s(literal 4 binary64)))))
(.f64 (+.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 (.f64 c #s(literal -4 binary64)) (-.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (*.f64 b b)))))))
(.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 (.f64 c #s(literal -4 binary64)) (-.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (.f64 b b))))) (.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 (.f64 c #s(literal -4 binary64)) (-.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (*.f64 b b))))))))
(.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 (.f64 c #s(literal -4 binary64)) (-.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (.f64 b b))))) (/.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 (.f64 c #s(literal -4 binary64)) (-.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (.f64 b b)))))))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))
(.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 c (.f64 a c))) #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 (*.f64 a c) #s(literal 4 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) #s(literal -64 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 (.f64 c #s(literal -4 binary64)) (-.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (*.f64 b b))))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 c (.f64 a c))) #s(literal -16 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 b b) (.f64 (*.f64 a c) #s(literal 4 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 (.f64 c #s(literal -4 binary64)) (-.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (.f64 b b)))))) (+.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 (.f64 a c) (.f64 a (.f64 c (*.f64 a c)))) #s(literal -64 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 (.f64 a c) #s(literal 4 binary64)))) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 c (*.f64 a c))) #s(literal -16 binary64))))
(.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))))))
(.f64 (-.f64 (.f64 (.f64 a c) (.f64 #s(literal 16 binary64) (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (*.f64 b b))))
(.f64 (pow.f64 (+.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) #s(literal -64 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 a (.f64 (.f64 c #s(literal -4 binary64)) (-.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (*.f64 b b)))))) #s(literal 1 binary64)))
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(.f64 (.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) (pow.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) #s(literal 1/4 binary64))) (pow.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))) #s(literal 1/4 binary64)))
(.f64 (/.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 c (.f64 a c))) #s(literal -16 binary64))) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 c (.f64 a c))) #s(literal -16 binary64)))) (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) #s(literal -64 binary64))) (+.f64 (.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b))))) (.f64 (.f64 a (.f64 (.f64 c #s(literal -4 binary64)) (-.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (.f64 b b)))) (.f64 (.f64 (.f64 a c) (.f64 #s(literal 16 binary64) (.f64 a c))) (.f64 (-.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (.f64 b b)) (-.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (.f64 b b))))))) (+.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 a (.f64 (.f64 c #s(literal -4 binary64)) (-.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (.f64 b b)))) (-.f64 (.f64 a (.f64 (.f64 c #s(literal -4 binary64)) (-.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (.f64 b b)))) (.f64 b (.f64 b (*.f64 b b)))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) #s(literal -64 binary64))) (-.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 (.f64 a c) (.f64 #s(literal 16 binary64) (.f64 a c))) (.f64 (-.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (.f64 b b)) (-.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (.f64 b b)))))) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 a c) #s(literal 4 binary64)) (-.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (.f64 b b)))))
(.f64 (/.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 c (.f64 a c))) #s(literal -16 binary64))) (-.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 (.f64 a c) (.f64 a (.f64 c (.f64 a c)))) #s(literal -64 binary64)))) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))))

simplify321.0ms (2%)

Algorithm

1×	egg-herbie

Rules

6082×	`-lowering-.f32`
6082×	`-lowering-.f64`
2282×	`+-lowering-+.f64`
2282×	`+-lowering-+.f32`
1498×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	506	2937
1	1708	2730
2	6334	2677
0	8052	2677

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ 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 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* (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 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 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 #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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(+.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 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a)))))) (sqrt.f64 #s(literal -4 binary64))) (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (.f64 c (.f64 c c)))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a))))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(.f64 b (+.f64 (/.f64 c (.f64 b b)) (+.f64 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) a))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(.f64 b (+.f64 (+.f64 (/.f64 c (.f64 b b)) (/.f64 (.f64 a (.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (+.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 (.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) a))))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(/.f64 (+.f64 c (/.f64 (.f64 a (.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(/.f64 (+.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b b)) (+.f64 c (.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 (.f64 c (.f64 c c)) (pow.f64 b #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(/.f64 (+.f64 (+.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b b)) (+.f64 c (.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (/.f64 (.f64 c (.f64 c c)) (pow.f64 b #s(literal 4 binary64)))))) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 c #s(literal 4 binary64)) (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)))) (.f64 a (pow.f64 b #s(literal 6 binary64))))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (-.f64 (.f64 a (+.f64 (/.f64 c b) (.f64 a (.f64 c (/.f64 (/.f64 c (.f64 b b)) b))))) b) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (-.f64 (.f64 a (+.f64 (/.f64 c b) (.f64 a (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 c (.f64 a (.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (.f64 c (/.f64 (/.f64 c (.f64 b b)) b)))))) b) a)
(* -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 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 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))))))
(+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))) (.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 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(+.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))) (.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)))))) (.f64 #s(literal -1/64 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (.f64 c (.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64)))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (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 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 b b) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))))) (*.f64 b #s(literal 1/2 binary64))) a))
(+ (* -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 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (.f64 b #s(literal 1/2 binary64)) (/.f64 (+.f64 (.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (.f64 #s(literal -1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 c c))))))) (.f64 (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64)))) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 a c))))) a)) a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(-.f64 (.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 (/.f64 (.f64 c a) b) b) b))) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(-.f64 (.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (.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 b a))
(* -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 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(.f64 (.f64 c #s(literal -1/2 binary64)) (+.f64 (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (/.f64 b (*.f64 c a))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
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(+.f64 b (.f64 (.f64 a #s(literal -2 binary64)) (+.f64 (/.f64 c b) (.f64 a (.f64 c (/.f64 (/.f64 c (*.f64 b 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 #s(literal -4 binary64) (.f64 c (.f64 a (.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (.f64 (.f64 c (/.f64 (/.f64 c (.f64 b b)) b)) #s(literal -2 binary64)))))))
(* (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 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 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (.f64 c (.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64)) (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 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 (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (.f64 c (.f64 c c)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64)) (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(.f64 (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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/4 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 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.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) (pow.f64 a #s(literal 5 binary64))) (.f64 c (.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 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.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) (pow.f64 a #s(literal 5 binary64))) (.f64 c (.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 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 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 a (.f64 c #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 (.f64 c (.f64 a a)) (.f64 b (.f64 b b))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(+.f64 b (.f64 c (+.f64 (/.f64 (.f64 a #s(literal -2 binary64)) b) (.f64 c (+.f64 (.f64 (.f64 #s(literal -4 binary64) (.f64 a (.f64 a a))) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (/.f64 (.f64 (.f64 a a) #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)))
(* 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 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 c c))))))) (sqrt.f64 #s(literal -4 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 (/.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (pow.f64 c #s(literal 5 binary64))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64)) (+.f64 (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 c c))))))) (sqrt.f64 #s(literal -4 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 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (pow.f64 c #s(literal 5 binary64))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/32 binary64)) (+.f64 (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 a c))) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 c c))))))) (sqrt.f64 #s(literal -4 binary64))) (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 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 (+.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 c c)))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) (neg.f64 c))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(-.f64 #s(literal 0 binary64) (.f64 c (+.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 c c)))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) (.f64 #s(literal -1/64 binary64) (.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))))))
(* -1 (* c (+ (* -1/64 (* (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 #s(literal 0 binary64) (.f64 c (+.f64 (.f64 #s(literal -1/64 binary64) (.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (pow.f64 c #s(literal 5 binary64)))))) (+.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (.f64 (.f64 (.f64 b b) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 c c)))))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 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)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/512 binary64)))))))
(* -4 (* a c))
(.f64 c (.f64 a #s(literal -4 binary64)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (.f64 b b) (.f64 c (*.f64 a #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 a (.f64 (/.f64 c (*.f64 b b)) #s(literal -4 binary64)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 (/.f64 c (*.f64 b b)) #s(literal -4 binary64)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 (/.f64 c (*.f64 b b)) #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 a (.f64 (/.f64 c (*.f64 b b)) #s(literal -4 binary64)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 (/.f64 c (*.f64 b b)) #s(literal -4 binary64)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (.f64 a (.f64 (/.f64 c (*.f64 b b)) #s(literal -4 binary64)))))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))
(* -4 (* a c))
(.f64 c (.f64 a #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 c (.f64 a #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)) (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 c (*.f64 a #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (.f64 b b) (.f64 c (*.f64 a #s(literal -4 binary64))))
(* -4 (* a c))
(.f64 c (.f64 a #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 c (.f64 a #s(literal -4 binary64)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(-.f64 #s(literal 0 binary64) (.f64 c (-.f64 (.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(-.f64 #s(literal 0 binary64) (.f64 c (-.f64 (.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c))))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(-.f64 #s(literal 0 binary64) (.f64 c (-.f64 (.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c))))

eval80.0ms (0.5%)

Compiler: Compiled 17927 to 1701 computations (90.5% saved)

prune111.0ms (0.7%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	446	20	466
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	447	20	467

Accuracy

90.7%

Counts

467 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.6%	(/.f64 (/.f64 (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))))
	33.2%	(/.f64 (/.f64 (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64))) (.f64 a #s(literal -2 binary64))) (+.f64 (.f64 b b) (+.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (.f64 b (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))))))))
	26.6%	(/.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 c a)) b) (*.f64 a #s(literal -2 binary64)))
	27.6%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal -2 binary64)) (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))))
▶	52.5%	(/.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))))))))
▶	32.8%	(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
	28.0%	(/.f64 (+.f64 c (/.f64 (.f64 a (.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
	52.4%	(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))))) (.f64 a #s(literal -2 binary64)))
▶	11.0%	(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b) b))))) (.f64 a #s(literal -2 binary64)))
	10.7%	(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) b)) (*.f64 a #s(literal -2 binary64)))
	52.1%	(/.f64 (+.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))))) (.f64 a #s(literal -2 binary64)))
	34.9%	(/.f64 (+.f64 b (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
	32.7%	(/.f64 (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b) b))) (.f64 a #s(literal -2 binary64)))
	52.5%	(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))))))
	52.5%	(/.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))))))) a))
	34.1%	(-.f64 (/.f64 c b) (/.f64 b a))
	34.0%	(-.f64 #s(literal 0 binary64) (/.f64 c b))
▶	34.4%	(-.f64 #s(literal 0 binary64) (/.f64 b a))
	16.4%	(.f64 (/.f64 (/.f64 (+.f64 (.f64 b (.f64 b b)) (pow.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64))) (.f64 a #s(literal -2 binary64))) (+.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (pow.f64 (+.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (.f64 b (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))))) #s(literal 3 binary64)))) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (+.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (.f64 b (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))))) (-.f64 (+.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (.f64 b (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))))) (*.f64 b b)))))
▶	52.5%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))))

Compiler

Compiled 994 to 530 computations (46.7% saved)

simplify153.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))))))
✓	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 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))))))
✓	cost-diff	256	(.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 a (*.f64 c #s(literal -2 binary64))) b) b)))
✓	cost-diff	384	(-.f64 #s(literal 0 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 a (*.f64 c #s(literal -2 binary64))) b) b))))
✓	cost-diff	640	(+.f64 b (-.f64 #s(literal 0 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 a (*.f64 c #s(literal -2 binary64))) b) b)))))
✓	cost-diff	640	(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b) b))))) (.f64 a #s(literal -2 binary64)))
✓	cost-diff	0	(*.f64 c a)
✓	cost-diff	0	(/.f64 (*.f64 c a) b)
✓	cost-diff	0	(-.f64 (/.f64 (*.f64 c a) b) b)
✓	cost-diff	128	(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
✓	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 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) a)
✓	cost-diff	0	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))))

Rules

3944×	`-lowering-.f32`
3944×	`-lowering-.f64`
1362×	`sum3-define`
1194×	`sum4-define`
1092×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	273
1	92	258
2	245	251
3	967	240
4	5454	235
0	8293	235

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize315.0ms (2%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.4%	(+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))
✓	accuracy	96.0%	(/.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))))))))
✓	accuracy	78.4%	(+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))))
✓	accuracy	60.8%	(sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))))
✓	accuracy	94.1%	(.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 a (*.f64 c #s(literal -2 binary64))) b) b)))
✓	accuracy	91.4%	(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
✓	accuracy	85.5%	(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b) b))))) (.f64 a #s(literal -2 binary64)))
✓	accuracy	56.8%	(+.f64 b (-.f64 #s(literal 0 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 a (*.f64 c #s(literal -2 binary64))) b) b)))))
✓	accuracy	100.0%	(*.f64 c a)
✓	accuracy	100.0%	(-.f64 (/.f64 (*.f64 c a) b) b)
✓	accuracy	93.3%	(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
✓	accuracy	91.4%	(/.f64 (*.f64 c a) b)
✓	accuracy	100.0%	(/.f64 b a)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (/.f64 b a))
✓	accuracy	98.4%	(+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))
✓	accuracy	96.2%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))))
✓	accuracy	78.4%	(+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))))
✓	accuracy	60.8%	(sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))))

Results

110.0ms	92×	1	valid
87.0ms	66×	2	valid
48.0ms	93×	0	valid
7.0ms	5×	3	valid

Compiler

Compiled 301 to 36 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-div: 34.0ms (28.8% of total)

ival-mult: 30.0ms (25.4% of total)

backward-pass: 20.0ms (16.9% of total)

ival-sub: 18.0ms (15.2% of total)

ival-add: 10.0ms (8.5% of total)

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

const: 2.0ms (1.7% of total)

series62.0ms (0.4%)

Counts

19 → 600

Calls

Call 1

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

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

Calls

150 calls:

Time	Variable		Point	Expression
12.0ms	c	@	inf	(/ -2 (+ b (sqrt (+ (* b b) (* a (* c -4))))))
6.0ms	a	@	-inf	(/ 1 a)
2.0ms	b	@	inf	(/ (- (/ (* c a) b) b) a)
2.0ms	c	@	inf	(/ (- (/ (* c a) b) b) a)
2.0ms	a	@	inf	(/ (+ b (- 0 (* b (+ 1 (/ (/ (* a (* c -2)) b) b))))) (* a -2))

rewrite469.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

5356×	`-lowering-.f32`
5356×	`-lowering-.f64`
3410×	`/-lowering-/.f32`
3410×	`/-lowering-/.f64`
2838×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	174
1	233	162
2	2313	154
0	10989	154

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 963

Calls

Call 1

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

simplify390.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

8528×	`-lowering-.f32`
8528×	`-lowering-.f64`
4376×	`+-lowering-+.f64`
4376×	`+-lowering-+.f32`
1454×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	836	7276
1	2922	6810
0	9115	6810

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 600

Calls

Call 1

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

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

eval305.0ms (1.9%)

Compiler: Compiled 47251 to 4011 computations (91.5% saved)

prune284.0ms (1.8%)

Pruning

34 alts after pruning (34 fresh and 0 done)

	Pruned	Kept	Total
New	1728	25	1753
Fresh	6	9	15
Picked	5	0	5
Done	0	0	0
Total	1739	34	1773

Accuracy

90.8%

Counts

1773 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.6%	(/.f64 (/.f64 (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))))
	10.2%	(/.f64 (/.f64 (*.f64 a c) b) a)
	27.6%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal -2 binary64)) (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))))
	33.9%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 (.f64 b #s(literal 2 binary64)) (.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b)))))
	34.9%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64)))))))
	26.3%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 2 binary64))))
	26.2%	(/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 b a) c)))
	26.8%	(/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)) (/.f64 #s(literal -1 binary64) (*.f64 b b)))))
	33.9%	(/.f64 (-.f64 (*.f64 (/.f64 a b) c) b) a)
	14.0%	(/.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 (+.f64 b (.f64 (/.f64 (.f64 c (/.f64 a #s(literal -1/2 binary64))) b) #s(literal 1 binary64))) (.f64 (+.f64 b (.f64 (/.f64 (.f64 c (/.f64 a #s(literal -1/2 binary64))) b) #s(literal 1 binary64))) (+.f64 b (.f64 (/.f64 (.f64 c (/.f64 a #s(literal -1/2 binary64))) b) #s(literal 1 binary64)))))) (.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 (.f64 b b) (.f64 (+.f64 b (.f64 (/.f64 (.f64 c (/.f64 a #s(literal -1/2 binary64))) b) #s(literal 1 binary64))) (-.f64 (+.f64 b (.f64 (/.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) b) #s(literal 1 binary64))) b)))))
	28.0%	(/.f64 (+.f64 c (/.f64 (.f64 a (.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
	16.7%	(/.f64 (+.f64 b (/.f64 (+.f64 (.f64 (-.f64 (.f64 b b) #s(literal 0 binary64)) b) (.f64 b (.f64 (/.f64 (.f64 c (/.f64 a #s(literal -1/2 binary64))) b) b))) (.f64 b b))) (*.f64 a #s(literal -2 binary64)))
	52.4%	(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))))) (.f64 a #s(literal -2 binary64)))
	11.1%	(/.f64 (+.f64 b (-.f64 (.f64 (/.f64 (.f64 a c) b) #s(literal 2 binary64)) b)) (*.f64 a #s(literal -2 binary64)))
	3.2%	(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (.f64 b b) (.f64 (.f64 (/.f64 (.f64 c (/.f64 a #s(literal -1/2 binary64))) b) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 c (/.f64 a #s(literal -1/2 binary64))) b) #s(literal 1 binary64)))) (-.f64 b (.f64 (/.f64 (.f64 c (/.f64 a #s(literal -1/2 binary64))) b) #s(literal 1 binary64)))))) (*.f64 a #s(literal -2 binary64)))
	11.1%	(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b)) b))))) (.f64 a #s(literal -2 binary64)))
	14.7%	(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (.f64 a (/.f64 (.f64 #s(literal -2 binary64) c) b)))) (*.f64 a #s(literal -2 binary64)))
	14.4%	(/.f64 (+.f64 b (.f64 (/.f64 (.f64 a c) b) #s(literal 2 binary64))) (*.f64 a #s(literal -2 binary64)))
	10.7%	(/.f64 (+.f64 b (.f64 b (+.f64 (/.f64 (.f64 a (.f64 c #s(literal 2 binary64))) (.f64 b b)) #s(literal -1 binary64)))) (*.f64 a #s(literal -2 binary64)))
	52.1%	(/.f64 (+.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))))) (.f64 a #s(literal -2 binary64)))
	34.9%	(/.f64 (+.f64 b (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
▶	32.7%	(/.f64 (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b) b))) (.f64 a #s(literal -2 binary64)))
▶	10.2%	(/.f64 c b)
	33.8%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (*.f64 c (/.f64 a b)) b)))
▶	52.5%	(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))))))
	34.3%	(/.f64 #s(literal -1 binary64) (/.f64 a b))
	34.0%	(-.f64 #s(literal 0 binary64) (/.f64 c b))
▶	34.2%	(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))))
	33.8%	(.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 c (/.f64 a b)) b)) #s(literal -1 binary64)))
▶	33.8%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (.f64 c (/.f64 a b)) b))
	34.9%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (.f64 c (*.f64 a #s(literal -4 binary64))))))
	26.6%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)))
	34.3%	(*.f64 b (/.f64 #s(literal -1 binary64) a))
	34.4%	(neg.f64 (/.f64 b a))

Compiler

Compiled 1354 to 806 computations (40.5% saved)

simplify145.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) a)
✓	cost-diff	6592	(pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))
✓	cost-diff	6720	(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)))
✓	cost-diff	6720	(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))))
✓	cost-diff	0	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b) b)
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b) b))
✓	cost-diff	128	(.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (.f64 a (*.f64 c #s(literal -2 binary64))) b) b)))
✓	cost-diff	256	(/.f64 (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b) b))) (.f64 a #s(literal -2 binary64)))
✓	cost-diff	0	(*.f64 c (/.f64 a b))
✓	cost-diff	0	(-.f64 (*.f64 c (/.f64 a b)) b)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) a)
✓	cost-diff	256	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (.f64 c (/.f64 a b)) b))
✓	cost-diff	0	(/.f64 c b)
✓	cost-diff	0	(sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))))
✓	cost-diff	0	(+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))))
✓	cost-diff	0	(/.f64 a (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))))))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))))))

Rules

2886×	`-lowering-.f32`
2886×	`-lowering-.f64`
1170×	`/-lowering-/.f32`
1170×	`/-lowering-/.f64`
1128×	`fnmadd-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	199
1	90	185
2	224	182
3	691	180
4	2267	177
5	3666	177
6	5391	177
0	8039	177

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize228.0ms (1.5%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) a)
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)))
✓	accuracy	99.7%	(pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64))
✓	accuracy	97.9%	(/.f64 (/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b) b)
✓	accuracy	94.2%	(.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (.f64 a (*.f64 c #s(literal -2 binary64))) b) b)))
✓	accuracy	93.3%	(/.f64 (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b) b))) (.f64 a #s(literal -2 binary64)))
✓	accuracy	91.4%	(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) a)
✓	accuracy	100.0%	(-.f64 (*.f64 c (/.f64 a b)) b)
✓	accuracy	93.1%	(.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (.f64 c (/.f64 a b)) b))
✓	accuracy	90.0%	(*.f64 c (/.f64 a b))
✓	accuracy	100.0%	(/.f64 c b)
✓	accuracy	98.4%	(+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))
✓	accuracy	96.4%	(/.f64 a (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))))))
✓	accuracy	78.4%	(+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))))
✓	accuracy	60.8%	(sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))))

Results

86.0ms	46×	2	valid
60.0ms	175×	0	valid
27.0ms	30×	1	valid
6.0ms	5×	3	valid

Compiler

Compiled 228 to 37 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-mult: 52.0ms (47.4% of total)

ival-div: 22.0ms (20.1% of total)

backward-pass: 13.0ms (11.8% of total)

ival-pow: 9.0ms (8.2% of total)

ival-add: 6.0ms (5.5% of total)

ival-sqrt: 4.0ms (3.6% of total)

ival-sub: 3.0ms (2.7% of total)

const: 1.0ms (0.9% of total)

series31.0ms (0.2%)

Counts

18 → 564

Calls

Call 1

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

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

Calls

141 calls:

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

rewrite416.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

4054×	`-lowering-.f32`
4054×	`-lowering-.f64`
3894×	`/-lowering-/.f32`
3894×	`/-lowering-/.f64`
1586×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	153
1	209	136
2	1775	131
0	8593	131

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 941

Calls

Call 1

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

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

simplify404.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

9002×	`-lowering-.f32`
9002×	`-lowering-.f64`
4328×	`+-lowering-+.f64`
4328×	`+-lowering-+.f32`
1544×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	850	6724
1	2994	6240
0	9037	6240

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

Calls

Call 1

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

Outputs
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (-.f64 (.f64 a (+.f64 (/.f64 c b) (/.f64 (.f64 a (.f64 c c)) (.f64 b (*.f64 b b))))) b) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (-.f64 (.f64 a (+.f64 (/.f64 c b) (.f64 a (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 c (.f64 a (.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 c c) (.f64 b (*.f64 b b))))))) b) a)
(* -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 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) c)) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) c)) (/.f64 (.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))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (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 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64))) (*.f64 b #s(literal 1/2 binary64))) a))
(+ (* -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 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (-.f64 (.f64 b #s(literal 1/2 binary64)) (/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 c c))))) (.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/128 binary64))) (.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)))) a)) a))
(* -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 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))
(+ (* -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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) c)) (*.f64 (/.f64 b (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal -1/2 binary64) a))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(+.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 -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) c)) (sqrt.f64 #s(literal -4 binary64)))) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (.f64 c (.f64 c c)))) (.f64 (/.f64 (.f64 b b) (*.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/16 binary64))))) (/.f64 #s(literal -1/2 binary64) a))))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(.f64 b (+.f64 (+.f64 (/.f64 c (.f64 b b)) (/.f64 (.f64 a (.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(.f64 b (+.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 c (.f64 b b)) (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) a))))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(/.f64 (+.f64 c (/.f64 (.f64 a (.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(/.f64 (+.f64 c (+.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b b)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(/.f64 (+.f64 (+.f64 c (+.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b b)) (/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 a a)) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 4 binary64))))) (.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 #s(literal 0 binary64) b))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(-.f64 (.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (.f64 a (/.f64 c (.f64 b (.f64 b b)))))) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(-.f64 (.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (.f64 c (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 a (.f64 a c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 a (.f64 b (*.f64 b b))))))) (/.f64 b a))
(* -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 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(.f64 c (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (/.f64 b (*.f64 a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(.f64 c (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (/.f64 b (.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 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(.f64 c (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (/.f64 b (.f64 a c)))) (+.f64 (.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)))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(.f64 (-.f64 (/.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 a c)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))) (neg.f64 c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) b) a) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) c)) (.f64 (.f64 b (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64)))) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c))) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) b) a) (/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 c (.f64 a (.f64 a a)))) (.f64 (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64))) (.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)))))))) c)) c)) (neg.f64 c))
(* 1/2 (/ a b))
(/.f64 (*.f64 a #s(literal 1/2 binary64)) b)
(* a (+ (* 1/2 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))
(.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 a (/.f64 c (.f64 b (*.f64 b b))))) (/.f64 #s(literal 1/2 binary64) b)))
(* a (+ (* a (- (/ (* a (pow c 2)) (pow b 5)) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b))))
(.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) b) (.f64 a (+.f64 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b #s(literal 5 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 c (.f64 b (*.f64 b b))))))))
(* a (+ (* a (- (* a (- (* -1 (* a (+ (* -2 (/ (pow c 3) (pow b 7))) (* -1/2 (/ (pow c 3) (pow b 7)))))) (* -1 (/ (pow c 2) (pow b 5))))) (* -1/2 (/ c (pow b 3))))) (* 1/2 (/ 1 b))))
(.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) b) (.f64 a (+.f64 (.f64 (.f64 a #s(literal -1 binary64)) (-.f64 (.f64 (/.f64 (.f64 c (.f64 c c)) (pow.f64 b #s(literal 7 binary64))) (.f64 #s(literal -5/2 binary64) a)) (/.f64 (.f64 c c) (pow.f64 b #s(literal 5 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 c (.f64 b (.f64 b b))))))))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(+.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (/.f64 b c) #s(literal 4 binary64)))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (/ b (* c (pow (sqrt -4) 2))))
(+.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (.f64 (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c)))) (.f64 (/.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/2 binary64))) (*.f64 a a))) (/.f64 (/.f64 b c) #s(literal 4 binary64)))
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4))))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (/ b (* c (pow (sqrt -4) 2))))))
(-.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 a (.f64 a (.f64 b (.f64 b b))))) (.f64 c (.f64 c (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64))))) (/.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 (.f64 (/.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c))))) (.f64 #s(literal -1/2 binary64) b))) (sqrt.f64 #s(literal -4 binary64)))) (.f64 a (.f64 a a)))) (+.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 c c))))) (/.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1/2 binary64)) (/.f64 (/.f64 b c) #s(literal -4 binary64))))
(* -1/2 (* (sqrt (/ a c)) (sqrt -1)))
(.f64 (sqrt.f64 (/.f64 a c)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -1))) (* 1/4 (/ b c)))
(+.f64 (/.f64 (/.f64 b c) #s(literal 4 binary64)) (.f64 (sqrt.f64 (/.f64 a c)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))
(-.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64))) (/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (/.f64 a (.f64 c (.f64 c c)))) (.f64 b b)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/16 binary64))) (.f64 (.f64 #s(literal -1/4 binary64) a) (/.f64 b c))) a))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1))))))))) (* 1/32 (/ (* a (pow b 3)) (pow c 2)))) (+ (* -1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/4 (/ (* a b) c))) a)) (* -1/2 (* (sqrt (/ a c)) (sqrt -1))))
(-.f64 (.f64 (sqrt.f64 (/.f64 a c)) (.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64))) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)))) (.f64 b (sqrt.f64 #s(literal -1 binary64)))) (.f64 (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c)))) (.f64 (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/16 binary64)))) (+.f64 (/.f64 (.f64 #s(literal 1/32 binary64) (.f64 a (.f64 b (.f64 b b)))) (.f64 c c)) (.f64 (sqrt.f64 (/.f64 (.f64 a (.f64 a a)) (.f64 c (.f64 c c)))) (.f64 (.f64 b (.f64 b (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/16 binary64))))) (neg.f64 a)) (.f64 (.f64 #s(literal -1/4 binary64) a) (/.f64 b c))) a))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))
(+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
(+.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (/.f64 b c) #s(literal 4 binary64)))
(+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
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(+ (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3))))))) (/ 1 (* c (pow (sqrt -4) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -4))))
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(.f64 c (+.f64 (.f64 #s(literal -2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 2 binary64) c)))
(* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))
(.f64 c (+.f64 (.f64 #s(literal -2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 2 binary64) c)))
(* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))
(.f64 c (+.f64 (.f64 #s(literal -2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal 2 binary64) c)))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c)))))
(.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -2 binary64) c)) (neg.f64 c))
(* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c)))))
(.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -2 binary64) c)) (neg.f64 c))
(* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c)))))
(.f64 (+.f64 (.f64 #s(literal 2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -2 binary64) c)) (neg.f64 c))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2))
(/.f64 (+.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (.f64 b (.f64 b #s(literal 2 binary64)))) (*.f64 b b))
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2))
(/.f64 (+.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (.f64 b (.f64 b #s(literal 2 binary64)))) (*.f64 b b))
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2))
(/.f64 (+.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (.f64 b (.f64 b #s(literal 2 binary64)))) (*.f64 b b))
2
#s(literal 2 binary64)
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(+.f64 #s(literal 2 binary64) (/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b)))
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(+.f64 #s(literal 2 binary64) (/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b)))
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(+.f64 #s(literal 2 binary64) (/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b)))
2
#s(literal 2 binary64)
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(+.f64 #s(literal 2 binary64) (/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b)))
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(+.f64 #s(literal 2 binary64) (/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b)))
(+ 2 (* -2 (/ (* a c) (pow b 2))))
(+.f64 #s(literal 2 binary64) (/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b)))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (*.f64 b b))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(* -1 (/ b a))
(/.f64 b (neg.f64 a))
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
(/ b a)
(/.f64 b a)
b
b
b
b
b
b
b
b
b
b
b
b
(* -4 (* a c))
(.f64 (.f64 a c) #s(literal -4 binary64))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (.f64 b b) (.f64 (*.f64 a c) #s(literal -4 binary64)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (.f64 b b) (.f64 (*.f64 a c) #s(literal -4 binary64)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (.f64 b b) (.f64 (*.f64 a 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 (.f64 a 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 (.f64 a 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 (.f64 a 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 (.f64 a 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 (.f64 a 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 (.f64 a 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 (*.f64 a c) #s(literal -4 binary64)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (.f64 b b) (.f64 (*.f64 a c) #s(literal -4 binary64)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (.f64 b b) (.f64 (*.f64 a c) #s(literal -4 binary64)))
(* -4 (* a c))
(.f64 (.f64 a c) #s(literal -4 binary64))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(.f64 a (+.f64 (/.f64 (.f64 b b) a) (*.f64 c #s(literal -4 binary64))))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(.f64 a (+.f64 (/.f64 (.f64 b b) a) (*.f64 c #s(literal -4 binary64))))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(.f64 a (+.f64 (/.f64 (.f64 b b) a) (*.f64 c #s(literal -4 binary64))))
(* -4 (* a c))
(.f64 (.f64 a 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)) (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 (*.f64 a c) #s(literal -4 binary64)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (.f64 b b) (.f64 (*.f64 a c) #s(literal -4 binary64)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (.f64 b b) (.f64 (*.f64 a c) #s(literal -4 binary64)))
(* -4 (* a c))
(.f64 (.f64 a 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 (.f64 a c) #s(literal -4 binary64))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(.f64 (-.f64 (.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(.f64 (-.f64 (.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(.f64 (-.f64 (.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)) (neg.f64 c))
(* -2 (/ (* a c) b))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)

eval227.0ms (1.4%)

Compiler: Compiled 31790 to 4417 computations (86.1% saved)

prune262.0ms (1.7%)

Pruning

52 alts after pruning (50 fresh and 2 done)

	Pruned	Kept	Total
New	1504	28	1532
Fresh	7	22	29
Picked	3	2	5
Done	0	0	0
Total	1514	52	1566

Accuracy

90.8%

Counts

1566 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.6%	(/.f64 (/.f64 (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) (.f64 a #s(literal -2 binary64))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))))
	10.2%	(/.f64 (/.f64 (*.f64 a c) b) a)
▶	33.9%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 (.f64 b #s(literal 2 binary64)) (.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b)))))
	34.9%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64)))))))
	26.3%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 2 binary64))))
	26.2%	(/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 b a) c)))
	26.8%	(/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)) (/.f64 #s(literal -1 binary64) (*.f64 b b)))))
	14.0%	(/.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 (+.f64 b (.f64 (/.f64 (.f64 c (/.f64 a #s(literal -1/2 binary64))) b) #s(literal 1 binary64))) (.f64 (+.f64 b (.f64 (/.f64 (.f64 c (/.f64 a #s(literal -1/2 binary64))) b) #s(literal 1 binary64))) (+.f64 b (.f64 (/.f64 (.f64 c (/.f64 a #s(literal -1/2 binary64))) b) #s(literal 1 binary64)))))) (.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 (.f64 b b) (.f64 (+.f64 b (.f64 (/.f64 (.f64 c (/.f64 a #s(literal -1/2 binary64))) b) #s(literal 1 binary64))) (-.f64 (+.f64 b (.f64 (/.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) b) #s(literal 1 binary64))) b)))))
	28.0%	(/.f64 (+.f64 c (/.f64 (.f64 a (.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
▶	52.4%	(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))))) (.f64 a #s(literal -2 binary64)))
	11.1%	(/.f64 (+.f64 b (-.f64 (.f64 (/.f64 (.f64 a c) b) #s(literal 2 binary64)) b)) (*.f64 a #s(literal -2 binary64)))
	3.2%	(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (.f64 b b) (.f64 (.f64 (/.f64 (.f64 c (/.f64 a #s(literal -1/2 binary64))) b) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 c (/.f64 a #s(literal -1/2 binary64))) b) #s(literal 1 binary64)))) (-.f64 b (.f64 (/.f64 (.f64 c (/.f64 a #s(literal -1/2 binary64))) b) #s(literal 1 binary64)))))) (*.f64 a #s(literal -2 binary64)))
	11.1%	(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b)) b))))) (.f64 a #s(literal -2 binary64)))
	14.7%	(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (.f64 a (/.f64 (.f64 #s(literal -2 binary64) c) b)))) (*.f64 a #s(literal -2 binary64)))
	14.4%	(/.f64 (+.f64 b (.f64 (/.f64 (.f64 a c) b) #s(literal 2 binary64))) (*.f64 a #s(literal -2 binary64)))
	10.7%	(/.f64 (+.f64 b (.f64 b (+.f64 (/.f64 (.f64 a (.f64 c #s(literal 2 binary64))) (.f64 b b)) #s(literal -1 binary64)))) (*.f64 a #s(literal -2 binary64)))
	52.1%	(/.f64 (+.f64 b (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))))) (.f64 a #s(literal -2 binary64)))
	34.9%	(/.f64 (+.f64 b (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))) (*.f64 a #s(literal -2 binary64)))
	34.0%	(/.f64 (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 (/.f64 c b) #s(literal -2 binary64)) a) b))) (.f64 a #s(literal -2 binary64)))
	32.7%	(/.f64 (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b))))) (.f64 a #s(literal -2 binary64)))
✓	10.2%	(/.f64 c b)
▶	34.4%	(/.f64 b (neg.f64 a))
	10.2%	(/.f64 #s(literal 1 binary64) (/.f64 b c))
▶	33.8%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (/.f64 c (/.f64 b a)) b)))
	33.7%	(/.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
	10.7%	(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (.f64 b b)))))))
✓	52.5%	(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))))))
	35.2%	(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64))))))
	32.6%	(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c)))))
	27.5%	(/.f64 #s(literal -1/2 binary64) (.f64 (/.f64 a (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 a c))))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 a c)))))))
	34.3%	(/.f64 #s(literal -1 binary64) (/.f64 a b))
	34.0%	(-.f64 #s(literal 0 binary64) (/.f64 c b))
	34.2%	(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) b) (-.f64 #s(literal 0 binary64) a))))
	9.1%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (/.f64 (.f64 b b) (.f64 a a)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) (.f64 b (/.f64 b a)))))
	34.3%	(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
	6.8%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (/.f64 b a)) (/.f64 (.f64 b (*.f64 b b)) (/.f64 b a))))
	22.4%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) b) (/.f64 (.f64 b (/.f64 b a)) (/.f64 #s(literal 1 binary64) a))))
	18.8%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (/.f64 b a) b) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a))))
	26.9%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (.f64 b b) #s(literal 1/2 binary64))))
	30.8%	(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) b)))))
	34.2%	(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))))
	25.6%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) a) (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b))) #s(literal -1/2 binary64)))))
	30.9%	(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (exp.f64 (log.f64 b))))
	1.7%	(*.f64 (/.f64 c (sqrt.f64 b)) (/.f64 #s(literal 1 binary64) (sqrt.f64 b)))
	10.2%	(*.f64 (/.f64 #s(literal 1 binary64) b) c)
	16.0%	(.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (.f64 b b)) (+.f64 b (/.f64 c (/.f64 b a)))) (.f64 (+.f64 b (/.f64 c (/.f64 b a))) (.f64 b b))) (*.f64 (+.f64 b (/.f64 c (/.f64 b a))) (+.f64 b (/.f64 c (/.f64 b a))))))
	10.2%	(.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 a c) b))
▶	34.9%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (.f64 c (*.f64 a #s(literal -4 binary64))))))
	26.6%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)))
	34.3%	(*.f64 (/.f64 #s(literal -1 binary64) a) b)
	14.4%	(.f64 (exp.f64 (.f64 (log.f64 a) #s(literal -1 binary64))) (-.f64 (*.f64 c (/.f64 a b)) b))
	6.3%	(exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64)))

Compiler

Compiled 1963 to 1197 computations (39% saved)

simplify176.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))
✓	cost-diff	0	(+.f64 b (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64)))))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) a)
✓	cost-diff	0	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (.f64 c (*.f64 a #s(literal -4 binary64))))))
✓	cost-diff	0	(+.f64 (.f64 b #s(literal 2 binary64)) (.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b)))
✓	cost-diff	0	(/.f64 #s(literal -2 binary64) (+.f64 (.f64 b #s(literal 2 binary64)) (.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) a)
✓	cost-diff	640	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 (.f64 b #s(literal 2 binary64)) (.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b)))))
✓	cost-diff	0	(/.f64 c (/.f64 b a))
✓	cost-diff	0	(-.f64 (/.f64 c (/.f64 b a)) b)
✓	cost-diff	0	(/.f64 a (-.f64 (/.f64 c (/.f64 b a)) b))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (/.f64 c (/.f64 b a)) b)))
✓	cost-diff	-64	(neg.f64 a)
✓	cost-diff	-64	(/.f64 b (neg.f64 a))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))))))
✓	cost-diff	0	(+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))))))
✓	cost-diff	0	(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))))) (.f64 a #s(literal -2 binary64)))

Rules

3306×	`/-lowering-/.f32`
3306×	`/-lowering-/.f64`
2980×	`-lowering-.f32`
2980×	`-lowering-.f64`
1736×	`associate-/l/`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	230
1	92	220
2	174	218
3	343	218
4	838	216
5	2836	216
6	7716	216
0	8273	216

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize204.0ms (1.3%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a #s(literal -4 binary64))
✓	accuracy	99.7%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (.f64 c (*.f64 a #s(literal -4 binary64))))))
✓	accuracy	99.6%	(.f64 c (.f64 a #s(literal -4 binary64)))
✓	accuracy	84.5%	(sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64))))
✓	accuracy	100.0%	(+.f64 (.f64 b #s(literal 2 binary64)) (.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b)))
✓	accuracy	99.5%	(/.f64 #s(literal -2 binary64) (+.f64 (.f64 b #s(literal 2 binary64)) (.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b))))
✓	accuracy	94.6%	(.f64 a (/.f64 (.f64 #s(literal -2 binary64) c) b))
✓	accuracy	93.5%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 (.f64 b #s(literal 2 binary64)) (.f64 a (/.f64 (*.f64 #s(literal -2 binary64) c) b)))))
✓	accuracy	100.0%	(-.f64 (/.f64 c (/.f64 b a)) b)
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (/.f64 c (/.f64 b a)) b)))
✓	accuracy	93.8%	(/.f64 c (/.f64 b a))
✓	accuracy	93.2%	(/.f64 a (-.f64 (/.f64 c (/.f64 b a)) b))
✓	accuracy	100.0%	(/.f64 b (neg.f64 a))
✓	accuracy	100.0%	(neg.f64 a)
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))))
✓	accuracy	99.0%	(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))))) (.f64 a #s(literal -2 binary64)))
✓	accuracy	90.3%	(+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))))))
✓	accuracy	75.8%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))))

Results

57.0ms	141×	0	valid
34.0ms	12×	2	valid
29.0ms	78×	0	invalid
15.0ms	17×	1	valid
15.0ms	8×	3	valid

Compiler

Compiled 263 to 40 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-mult: 39.0ms (44.1% of total)

ival-div: 30.0ms (33.9% of total)

ival-add: 6.0ms (6.8% of total)

ival-sqrt: 5.0ms (5.7% of total)

backward-pass: 4.0ms (4.5% of total)

ival-sub: 2.0ms (2.3% of total)

const: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

series61.0ms (0.4%)

Counts

22 → 660

Calls

Call 1

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

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

Calls

165 calls:

Time	Variable		Point	Expression
17.0ms	c	@	0	(* (/ -1/2 a) (+ b (sqrt (* c (* a -4)))))
6.0ms	b	@	0	(sqrt (/ 1 (+ (* b b) (* a (* c -4)))))
2.0ms	c	@	inf	(/ (/ 1 a) (/ -2 (+ (* b 2) (* a (/ (* -2 c) b)))))
1.0ms	a	@	0	(* (/ -1/2 a) (+ b (sqrt (* c (* a -4)))))
1.0ms	a	@	inf	(sqrt (/ 1 (+ (* b b) (* a (* c -4)))))

rewrite735.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3168×	`-lowering-.f32`
3168×	`-lowering-.f64`
2938×	`/-lowering-/.f32`
2938×	`/-lowering-/.f64`
1984×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	177
1	236	163
2	2042	163
0	8702	163

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 808

Calls

Call 1

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

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

simplify443.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

6198×	`-lowering-.f32`
6198×	`-lowering-.f64`
4106×	`+-lowering-+.f64`
4106×	`+-lowering-+.f32`
1882×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1164	9192
1	4086	8616
0	8354	8616

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 660

Calls

Call 1

Inputs
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(* -1 (/ c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(* (sqrt (/ 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 (/ b a))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)))))
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4)))
(* 2 b)
(* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* 2 (/ (* a c) b))
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b))
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* (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)))))
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(* 2 b)
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* -2 (/ (* a c) b)) (* 2 b))
(+ (* -2 (/ (* a c) b)) (* 2 b))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* 2 (/ b c))))
(* c (+ (* -2 (/ a b)) (* 2 (/ b c))))
(* c (+ (* -2 (/ a b)) (* 2 (/ b c))))
(* -2 (/ (* a c) b))
(* -1 (* c (+ (* -2 (/ b c)) (* 2 (/ a b)))))
(* -1 (* c (+ (* -2 (/ b c)) (* 2 (/ a b)))))
(* -1 (* c (+ (* -2 (/ b c)) (* 2 (/ a b)))))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(* (sqrt (/ c a)) (sqrt -1))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1)))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(* -1/2 (/ b a))
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* b (- (* -1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a))))
(* -1/2 (/ b a))
(* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1 (* b (+ (* 1/2 (* (sqrt (/ c a)) (/ (sqrt -4) b))) (* 1/2 (/ 1 a)))))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (/ (+ b (* (sqrt (* a c)) (sqrt -4))) a))
(* -1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(* (sqrt (/ c a)) (sqrt -1))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c))))))
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(/ -1/2 a)
(* (sqrt (* a c)) (sqrt -4))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
b
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))
(* b (+ 1 (* (sqrt (* a c)) (/ (sqrt -4) b))))
b
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))
(* -1 (* b (- (* -1 (* (sqrt (* a c)) (/ (sqrt -4) b))) 1)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(+ b (* (sqrt (* a c)) (sqrt -4)))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* (sqrt (* a c)) (sqrt -4))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(/ -1/4 (* a c))
(- (* -1/16 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (* 1/4 (/ 1 (* a c))))
(- (* (pow b 2) (- (* -1/64 (/ (pow b 2) (* (pow a 3) (pow c 3)))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))
(- (* (pow b 2) (- (* (pow b 2) (- (* -1/256 (/ (pow b 2) (* (pow a 4) (pow c 4)))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c))))
(/ 1 (pow b 2))
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))
(/ 1 (pow b 2))
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2))
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2))
(/ 1 (pow b 2))
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))
(+ (* a (- (* 16 (/ (* a (pow c 2)) (pow b 6))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))
(+ (* a (- (* a (- (* 64 (/ (* a (pow c 3)) (pow b 8))) (* -16 (/ (pow c 2) (pow b 6))))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2)))
(/ -1/4 (* a c))
(/ (- (* -1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a)
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c)))) a)
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 3) (pow c 4)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))))) a)
(/ -1/4 (* a c))
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* a (pow c 3)))) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* a (pow c 4)))) (* -1/64 (/ (pow b 4) (pow c 3)))) a)) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a))
(/ 1 (pow b 2))
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2)))
(+ (* c (- (* 16 (/ (* (pow a 2) c) (pow b 6))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))
(+ (* c (- (* c (- (* 64 (/ (* (pow a 3) c) (pow b 8))) (* -16 (/ (pow a 2) (pow b 6))))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2)))
(/ -1/4 (* a c))
(/ (- (* -1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c)
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a)))) c)
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 4) (pow c 3)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))))) c)
(/ -1/4 (* a c))
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) c))) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* (pow a 4) c))) (* -1/64 (/ (pow b 4) (pow a 3)))) c)) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -2 (/ (* a c) b))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 (* a c))
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)
(* -4 a)

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 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 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 (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a)))))
(+.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 -1/4 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 1/16 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 -1/2 binary64) a))))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(.f64 b (+.f64 (/.f64 c (.f64 b b)) (/.f64 #s(literal -1 binary64) a)))
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))
(.f64 b (+.f64 (/.f64 c (.f64 b b)) (+.f64 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) a))))
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))
(.f64 b (+.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 c (.f64 b b)) (+.f64 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) a)))))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b))
(/.f64 (+.f64 c (/.f64 (.f64 a (.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b))
(/.f64 (+.f64 c (+.f64 (/.f64 (.f64 a (.f64 c c)) (.f64 b b)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 c (.f64 c c)) (.f64 a a))) (pow.f64 b #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b))
(/.f64 (+.f64 (+.f64 c (.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 (/.f64 (.f64 a (.f64 c c)) (.f64 b b)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 c (.f64 c c)) (*.f64 a a))) (pow.f64 b #s(literal 4 binary64))))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a)
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a)
(/.f64 (-.f64 (.f64 a (+.f64 (/.f64 c b) (/.f64 (.f64 a (.f64 c c)) (.f64 b (*.f64 b b))))) b) a)
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a)
(/.f64 (-.f64 (.f64 a (+.f64 (/.f64 c b) (.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))))))) b) 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 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a)))
(.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 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))))))
(+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))) (.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 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))
(+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 b b)) (sqrt.f64 #s(literal -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))))))))
(* (sqrt (/ c a)) (sqrt -1))
(*.f64 (sqrt.f64 (/.f64 c a)) (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 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 b #s(literal 1/2 binary64))) a))
(+ (* -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 (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 -1/128 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))))) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))))) a)) a))
(* -1 (/ b a))
(-.f64 #s(literal 0 binary64) (/.f64 b a))
(+ (* -1 (/ b a)) (/ c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))))
(-.f64 (.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (.f64 c a) (.f64 b (.f64 b b))))) (/.f64 b a))
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))))
(-.f64 (.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (.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 b 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))))
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c)))))
(.f64 c (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (/.f64 b (*.f64 c a)))))
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(/.f64 (-.f64 (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 4 binary64))) (.f64 (.f64 a (.f64 a a)) (.f64 c c))) (+.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 b b)) (.f64 c (*.f64 a a))))) c)
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 4) (pow c 3)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))))) c)
(/.f64 (-.f64 (+.f64 (/.f64 (.f64 #s(literal -1/256 binary64) (pow.f64 b #s(literal 6 binary64))) (.f64 (.f64 c (.f64 c c)) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 4 binary64))) (.f64 (.f64 a (.f64 a a)) (.f64 c c)))) (+.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 b b)) (.f64 c (*.f64 a a))))) c)
(/ -1/4 (* a c))
(/.f64 #s(literal -1/4 binary64) (*.f64 c a))
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c))
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 (.f64 #s(literal 1/16 binary64) (.f64 b b)) (.f64 c (.f64 a a)))) (neg.f64 c))
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) c))) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 4 binary64))) (.f64 c (.f64 a (.f64 a a)))) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 b b) (*.f64 a a)))) c)) (neg.f64 c))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* (pow a 4) c))) (* -1/64 (/ (pow b 4) (pow a 3)))) c)) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c))
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) a) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (.f64 #s(literal 1/256 binary64) (pow.f64 b #s(literal 6 binary64))) (.f64 c (pow.f64 a #s(literal 4 binary64)))) (/.f64 (.f64 #s(literal -1/64 binary64) (pow.f64 b #s(literal 4 binary64))) (.f64 a (.f64 a a)))) (neg.f64 c)) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 b b) (.f64 a a)))) c)) (neg.f64 c))
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
(* -2 (/ (* a c) b))
(/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -4 a)
(*.f64 a #s(literal -4 binary64))
(* -4 a)
(*.f64 a #s(literal -4 binary64))
(* -4 a)
(*.f64 a #s(literal -4 binary64))
(* -4 a)
(*.f64 a #s(literal -4 binary64))
(* -4 a)
(*.f64 a #s(literal -4 binary64))
(* -4 a)
(*.f64 a #s(literal -4 binary64))
(* -4 a)
(*.f64 a #s(literal -4 binary64))
(* -4 a)
(*.f64 a #s(literal -4 binary64))
(* -4 a)
(*.f64 a #s(literal -4 binary64))
(* -4 a)
(*.f64 a #s(literal -4 binary64))
(* -4 a)
(*.f64 a #s(literal -4 binary64))
(* -4 a)
(*.f64 a #s(literal -4 binary64))

eval223.0ms (1.4%)

Compiler: Compiled 32462 to 4033 computations (87.6% saved)

prune265.0ms (1.7%)

Pruning

54 alts after pruning (49 fresh and 5 done)

	Pruned	Kept	Total
New	1456	12	1468
Fresh	8	37	45
Picked	2	3	5
Done	0	2	2
Total	1466	54	1520

Accuracy

99.8%

Counts

1520 → 54

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.5%	(fma.f64 (sqrt.f64 c) (.f64 (pow.f64 (.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) a)) (/.f64 b (/.f64 a #s(literal -1/2 binary64))))
	10.2%	(/.f64 (/.f64 (*.f64 a c) b) a)
	10.2%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 c a) #s(literal -2 binary64)) b)))
	34.9%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (+.f64 b (sqrt.f64 (.f64 c (.f64 a #s(literal -4 binary64)))))))
	26.3%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -2 binary64) (.f64 (/.f64 (.f64 a c) b) #s(literal 2 binary64))))
	26.2%	(/.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 b a) c)))
	26.8%	(/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 a c)) (/.f64 #s(literal -1 binary64) (*.f64 b b)))))
	14.0%	(/.f64 (+.f64 (.f64 b (.f64 b b)) (.f64 (+.f64 b (.f64 (/.f64 (.f64 c (/.f64 a #s(literal -1/2 binary64))) b) #s(literal 1 binary64))) (.f64 (+.f64 b (.f64 (/.f64 (.f64 c (/.f64 a #s(literal -1/2 binary64))) b) #s(literal 1 binary64))) (+.f64 b (.f64 (/.f64 (.f64 c (/.f64 a #s(literal -1/2 binary64))) b) #s(literal 1 binary64)))))) (.f64 (/.f64 a #s(literal -1/2 binary64)) (+.f64 (.f64 b b) (.f64 (+.f64 b (.f64 (/.f64 (.f64 c (/.f64 a #s(literal -1/2 binary64))) b) #s(literal 1 binary64))) (-.f64 (+.f64 b (.f64 (/.f64 (*.f64 c (/.f64 a #s(literal -1/2 binary64))) b) #s(literal 1 binary64))) b)))))
	28.0%	(/.f64 (+.f64 c (/.f64 (.f64 a (.f64 c c)) (*.f64 b b))) (-.f64 #s(literal 0 binary64) b))
	52.5%	(/.f64 (+.f64 b (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) #s(literal -1/2 binary64))) (.f64 a #s(literal -2 binary64)))
	34.3%	(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))) (*.f64 a #s(literal -2 binary64)))
	23.5%	(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (.f64 b b)) (.f64 c (.f64 a a))) (/.f64 #s(literal -1/4 binary64) a)) c)))) (*.f64 a #s(literal -2 binary64)))
	34.1%	(/.f64 (+.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1/4 binary64) (.f64 c a))))) (.f64 a #s(literal -2 binary64)))
	11.1%	(/.f64 (+.f64 b (-.f64 (.f64 (/.f64 (.f64 a c) b) #s(literal 2 binary64)) b)) (*.f64 a #s(literal -2 binary64)))
	3.2%	(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (.f64 b b) (.f64 (.f64 (/.f64 (.f64 c (/.f64 a #s(literal -1/2 binary64))) b) #s(literal 1 binary64)) (.f64 (/.f64 (.f64 c (/.f64 a #s(literal -1/2 binary64))) b) #s(literal 1 binary64)))) (-.f64 b (.f64 (/.f64 (.f64 c (/.f64 a #s(literal -1/2 binary64))) b) #s(literal 1 binary64)))))) (*.f64 a #s(literal -2 binary64)))
	11.1%	(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b)) b))))) (.f64 a #s(literal -2 binary64)))
	14.7%	(/.f64 (+.f64 b (-.f64 #s(literal 0 binary64) (.f64 a (/.f64 (.f64 #s(literal -2 binary64) c) b)))) (*.f64 a #s(literal -2 binary64)))
	14.4%	(/.f64 (+.f64 b (.f64 (/.f64 (.f64 a c) b) #s(literal 2 binary64))) (*.f64 a #s(literal -2 binary64)))
	10.7%	(/.f64 (+.f64 b (.f64 b (+.f64 (/.f64 (.f64 a (.f64 c #s(literal 2 binary64))) (.f64 b b)) #s(literal -1 binary64)))) (*.f64 a #s(literal -2 binary64)))
	35.3%	(/.f64 (+.f64 b (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64)))
	10.2%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (/.f64 (.f64 (.f64 c (.f64 c c)) (.f64 a (.f64 a a))) (.f64 b (.f64 b b))) (.f64 b (.f64 b b)))) (+.f64 (/.f64 (/.f64 c (/.f64 b a)) (/.f64 (/.f64 b a) c)) (*.f64 b (+.f64 b (/.f64 c (/.f64 b a))))))
	34.0%	(/.f64 (.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) (-.f64 b (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))))
	29.1%	(/.f64 (.f64 (-.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) #s(literal -1/2 binary64)) (.f64 (-.f64 b (sqrt.f64 (.f64 a (*.f64 c #s(literal -4 binary64))))) a))
	34.0%	(/.f64 (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 (/.f64 c b) #s(literal -2 binary64)) a) b))) (.f64 a #s(literal -2 binary64)))
	32.7%	(/.f64 (.f64 b (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 b (/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b))))) (.f64 a #s(literal -2 binary64)))
✓	10.2%	(/.f64 c b)
✓	34.4%	(/.f64 b (neg.f64 a))
	10.2%	(/.f64 #s(literal 1 binary64) (/.f64 b c))
✓	33.8%	(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (/.f64 c (/.f64 b a)) b)))
	33.7%	(/.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b #s(literal 1/2 binary64)) c))
	10.7%	(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) (.f64 b b)))))))
✓	52.5%	(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))))))
	35.2%	(/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64))))))
	32.6%	(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 b (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c)))))
	27.5%	(/.f64 #s(literal -1/2 binary64) (.f64 (/.f64 a (-.f64 (.f64 b b) (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 a c))))) (-.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (.f64 a c)))))))
	34.3%	(/.f64 #s(literal -1 binary64) (/.f64 a b))
	34.0%	(-.f64 #s(literal 0 binary64) (/.f64 c b))
	9.1%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (/.f64 (.f64 b b) (.f64 a a)) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) (.f64 b (/.f64 b a)))))
	34.3%	(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 b a) (/.f64 #s(literal 1 binary64) a)) (/.f64 (/.f64 b a) b)))
	6.8%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (/.f64 b a)) (/.f64 (.f64 b (*.f64 b b)) (/.f64 b a))))
	22.4%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) b) (/.f64 (.f64 b (/.f64 b a)) (/.f64 #s(literal 1 binary64) a))))
	18.8%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 (.f64 (/.f64 b a) b) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 b a))))
	26.9%	(-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (.f64 b b) #s(literal 1/2 binary64))))
	34.2%	(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) b))))
	30.9%	(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) a) (exp.f64 (log.f64 b))))
	1.7%	(*.f64 (/.f64 c (sqrt.f64 b)) (/.f64 #s(literal 1 binary64) (sqrt.f64 b)))
	10.2%	(*.f64 (/.f64 #s(literal 1 binary64) b) c)
	10.2%	(.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 a c) b))
	22.4%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (.f64 (pow.f64 (*.f64 a #s(literal -4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c))))
	20.4%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (.f64 (sqrt.f64 (*.f64 c #s(literal -4 binary64))) (sqrt.f64 a))))
✓	34.9%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (.f64 c (*.f64 a #s(literal -4 binary64))))))
	26.6%	(.f64 (/.f64 #s(literal -1/2 binary64) a) (.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)))
	34.3%	(*.f64 (/.f64 #s(literal -1 binary64) a) b)
	6.3%	(exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64)))

Compiler

Compiled 2550 to 1023 computations (59.9% saved)

regimes125.0ms (0.8%)

Counts

87 → 3

Calls

Call 1

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

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

Calls

4 calls:

31.0ms	c
30.0ms	b
27.0ms	a
25.0ms	(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))

Results

Accuracy	Segments	Branch
58.7%	3	`a`
83.0%	3	`b`
56.8%	3	`c`
73.1%	5	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 #s(literal 2 binary64) a))`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes28.0ms (0.2%)

Counts

63 → 3

Calls

Call 1

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

Outputs

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

(*.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 c b) (/.f64 b a))

Calls

1 calls:

21.0ms

Results

Accuracy	Segments	Branch
82.9%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes27.0ms (0.2%)

Counts

61 → 3

Calls

Call 1

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

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

Calls

1 calls:

20.0ms

Results

Accuracy	Segments	Branch
78.4%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes26.0ms (0.2%)

Counts

56 → 3

Calls

Call 1

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

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

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
78.4%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes29.0ms (0.2%)

Counts

55 → 3

Calls

Call 1

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

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

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
78.0%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes18.0ms (0.1%)

Counts

54 → 2

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
65.8%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes52.0ms (0.3%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

3 calls:

46.0ms	b
3.0ms	a
3.0ms	c

Results

Accuracy	Segments	Branch
34.4%	1	`c`
34.4%	1	`a`
41.8%	2	`b`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 c b)

Outputs
(/.f64 c b)

Calls

3 calls:

1.0ms	b
1.0ms	a
1.0ms	c

Results

Accuracy	Segments	Branch
10.2%	1	`c`
10.2%	1	`a`
10.2%	1	`b`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch71.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.8451464653039045e+122	4.295837878301038e+124
45.0ms	-5.304096810987906e+25	-36284647048961.28

Results

22.0ms	175×	0	valid
14.0ms	47×	2	valid
10.0ms	50×	1	valid
6.0ms	17×	0	invalid

Compiler

Compiled 533 to 376 computations (29.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 12.0ms (35.1% of total)

ival-sub: 10.0ms (29.3% of total)

ival-sqrt: 4.0ms (11.7% of total)

ival-div: 3.0ms (8.8% of total)

ival-neg: 3.0ms (8.8% of total)

backward-pass: 2.0ms (5.9% of total)

const: 1.0ms (2.9% of total)

bsearch69.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.8451464653039045e+122	4.295837878301038e+124
48.0ms	-5.304096810987906e+25	-36284647048961.28

Results

18.0ms	182×	0	valid
15.0ms	49×	2	valid
8.0ms	41×	1	valid
2.0ms	18×	0	invalid

Compiler

Compiled 533 to 376 computations (29.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 11.0ms (39.7% of total)

ival-sqrt: 4.0ms (14.4% of total)

ival-sub: 4.0ms (14.4% of total)

ival-div: 3.0ms (10.8% of total)

ival-neg: 3.0ms (10.8% of total)

backward-pass: 2.0ms (7.2% of total)

const: 1.0ms (3.6% of total)

bsearch59.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
22.0ms	1.3804857349952484e-42	2.822377969627048e-35
32.0ms	-7.976348264121811e-78	-2.532387802073489e-80

Results

24.0ms	226×	0	valid
9.0ms	25×	1	valid
6.0ms	21×	2	valid
4.0ms	46×	0	invalid

Compiler

Compiled 469 to 342 computations (27.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 12.0ms (40.4% of total)

ival-neg: 6.0ms (20.2% of total)

ival-sub: 4.0ms (13.5% of total)

ival-div: 3.0ms (10.1% of total)

ival-sqrt: 3.0ms (10.1% of total)

backward-pass: 1.0ms (3.4% of total)

const: 1.0ms (3.4% of total)

bsearch60.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	1.3804857349952484e-42	2.822377969627048e-35
28.0ms	-7.976348264121811e-78	-2.532387802073489e-80

Results

23.0ms	234×	0	valid
7.0ms	57×	0	invalid
5.0ms	24×	1	valid
4.0ms	14×	2	valid

Compiler

Compiled 469 to 342 computations (27.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 12.0ms (46.3% of total)

ival-sub: 4.0ms (15.4% of total)

ival-div: 3.0ms (11.6% of total)

ival-sqrt: 3.0ms (11.6% of total)

ival-neg: 2.0ms (7.7% of total)

backward-pass: 1.0ms (3.9% of total)

const: 1.0ms (3.9% of total)

bsearch68.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1.3804857349952484e-42	2.822377969627048e-35
32.0ms	-7.976348264121811e-78	-2.532387802073489e-80

Results

20.0ms	217×	0	valid
7.0ms	35×	1	valid
6.0ms	20×	2	valid
5.0ms	57×	0	invalid

Compiler

Compiled 469 to 342 computations (27.1% saved)

Precisions

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

ival-mult: 11.0ms (43.6% of total)

ival-sub: 4.0ms (15.8% of total)

ival-div: 3.0ms (11.9% of total)

ival-sqrt: 3.0ms (11.9% of total)

ival-neg: 2.0ms (7.9% of total)

const: 1.0ms (4% of total)

backward-pass: 1.0ms (4% of total)

bsearch39.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
35.0ms	-6.5663202881249e-299	6.837989648067834e-304

Results

15.0ms	160×	0	valid
8.0ms	91×	0	invalid

Compiler

Compiled 196 to 149 computations (24% saved)

Precisions

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

ival-mult: 7.0ms (46.4% of total)

ival-sub: 2.0ms (13.3% of total)

ival-div: 2.0ms (13.3% of total)

ival-sqrt: 2.0ms (13.3% of total)

const: 1.0ms (6.6% of total)

ival-neg: 1.0ms (6.6% of total)

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

bsearch39.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
35.0ms	-3.3003795281126787e+30	-5.304096810987906e+25

Results

16.0ms	56×	2	valid
7.0ms	35×	1	valid
4.0ms	37×	0	valid
3.0ms	17×	0	invalid

Compiler

Compiled 146 to 107 computations (26.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 8.0ms (37.9% of total)

ival-sub: 5.0ms (23.7% of total)

ival-sqrt: 3.0ms (14.2% of total)

ival-div: 2.0ms (9.5% of total)

backward-pass: 2.0ms (9.5% of total)

ival-neg: 2.0ms (9.5% of total)

const: 0.0ms (0% of total)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative_binary64`
22×	`+-commutative_binary64`
12×	`sub-neg_binary64`
10×	`neg-mul-1_binary64`
8×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	189
1	98	189
2	110	189
3	118	189
4	122	189
5	123	189

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -37000000000000 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 379999999999999979787075584064403135174631049139385062530578918070147337001684299048544166786730682721712866463117998030848 binary64)) (/.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 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -136000000000000 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 7499999999999999906216728697213260896981150881628693935930704573353680641276642005965531226142821095876275115056157098508288 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 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -4015405316550539/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 2319695398771609/748288838313422294120286634350736906063837462003712 binary64)) (/.f64 (+.f64 b (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -3650368469591399/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 3432790011539591/12259964326927110866866776217202473468949912977468817408 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64)))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -4422160660305009/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 5394384303847929/98079714615416886934934209737619787751599303819750539264 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (.f64 c (*.f64 a #s(literal -4 binary64)))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (neg.f64 (/.f64 b a)))
(if (<=.f64 b #s(literal -849999999999999997550526464 binary64)) (/.f64 c b) (neg.f64 (/.f64 b a)))
(/.f64 c b)

Outputs
(if (<=.f64 b #s(literal -37000000000000 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 379999999999999979787075584064403135174631049139385062530578918070147337001684299048544166786730682721712866463117998030848 binary64)) (/.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 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -37000000000000 binary64)) (/.f64 c (-.f64 #s(literal 0 binary64) b)) (if (<=.f64 b #s(literal 379999999999999979787075584064403135174631049139385062530578918070147337001684299048544166786730682721712866463117998030848 binary64)) (/.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 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -136000000000000 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 7499999999999999906216728697213260896981150881628693935930704573353680641276642005965531226142821095876275115056157098508288 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 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -136000000000000 binary64)) (/.f64 c (-.f64 #s(literal 0 binary64) b)) (if (<=.f64 b #s(literal 7499999999999999906216728697213260896981150881628693935930704573353680641276642005965531226142821095876275115056157098508288 binary64)) (.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a)) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -4015405316550539/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 2319695398771609/748288838313422294120286634350736906063837462003712 binary64)) (/.f64 (+.f64 b (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -4015405316550539/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) (/.f64 c (-.f64 #s(literal 0 binary64) b)) (if (<=.f64 b #s(literal 2319695398771609/748288838313422294120286634350736906063837462003712 binary64)) (/.f64 (+.f64 b (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))) (/.f64 a #s(literal -1/2 binary64))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -3650368469591399/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 3432790011539591/12259964326927110866866776217202473468949912977468817408 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (.f64 (.f64 a c) #s(literal -4 binary64)))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -3650368469591399/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 binary64)) (/.f64 c (-.f64 #s(literal 0 binary64) b)) (if (<=.f64 b #s(literal 3432790011539591/12259964326927110866866776217202473468949912977468817408 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 a (+.f64 b (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a)))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -4422160660305009/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (if (<=.f64 b #s(literal 5394384303847929/98079714615416886934934209737619787751599303819750539264 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (.f64 c (*.f64 a #s(literal -4 binary64)))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -4422160660305009/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) (/.f64 c (-.f64 #s(literal 0 binary64) b)) (if (<=.f64 b #s(literal 5394384303847929/98079714615416886934934209737619787751599303819750539264 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 b (sqrt.f64 (.f64 c (*.f64 a #s(literal -4 binary64)))))) (-.f64 (/.f64 c b) (/.f64 b a))))
(if (<=.f64 b #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 c b)) (neg.f64 (/.f64 b a)))
(if (<=.f64 b #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 c (-.f64 #s(literal 0 binary64) b)) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(if (<=.f64 b #s(literal -849999999999999997550526464 binary64)) (/.f64 c b) (neg.f64 (/.f64 b a)))
(if (<=.f64 b #s(literal -849999999999999997550526464 binary64)) (/.f64 c b) (-.f64 #s(literal 0 binary64) (/.f64 b a)))
(/.f64 c b)

soundness3.5s (22.1%)

Rules

9002×	`-lowering-.f32`
9002×	`-lowering-.f64`
8528×	`-lowering-.f32`
8528×	`-lowering-.f64`
6082×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	850	6724
1	2994	6240
0	9037	6240
0	836	7276
1	2922	6810
0	9115	6810
0	506	2937
1	1708	2730
2	6334	2677
0	8052	2677
0	35	174
1	233	162
2	2313	154
0	10989	154
0	13	43
1	60	39
2	504	39
3	6397	39
0	8037	39
0	39	177
1	236	163
2	2042	163
0	8702	163
0	14	16
1	39	16
2	101	15
3	270	14
4	494	14
5	1003	14
6	3160	14
7	5806	14
8	6442	14
9	7372	14
10	7537	14
11	7577	14
12	7583	14
0	7583	14

Stop Event

1×	fuel
1×	iter limit
1×	saturated
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 560 to 340 computations (39.3% saved)

preprocess63.0ms (0.4%)

Compiler: Compiled 530 to 218 computations (58.9% saved)

analyze282.0ms (1.8%)

sample4.1s (25.8%)

preprocess212.0ms (1.4%)

explain175.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0%)

localize68.0ms (0.4%)

series20.0ms (0.1%)

rewrite290.0ms (1.9%)

simplify321.0ms (2%)

eval80.0ms (0.5%)

prune111.0ms (0.7%)

simplify153.0ms (1%)

localize315.0ms (2%)

series62.0ms (0.4%)

rewrite469.0ms (3%)

simplify390.0ms (2.5%)

eval305.0ms (1.9%)

prune284.0ms (1.8%)

simplify145.0ms (0.9%)

localize228.0ms (1.5%)

series31.0ms (0.2%)

rewrite416.0ms (2.7%)

simplify404.0ms (2.6%)

eval227.0ms (1.4%)

prune262.0ms (1.7%)

simplify176.0ms (1.1%)

localize204.0ms (1.3%)

series61.0ms (0.4%)

rewrite735.0ms (4.7%)

simplify443.0ms (2.8%)

eval223.0ms (1.4%)

prune265.0ms (1.7%)

regimes125.0ms (0.8%)

regimes28.0ms (0.2%)

regimes27.0ms (0.2%)

regimes26.0ms (0.2%)

regimes29.0ms (0.2%)

regimes18.0ms (0.1%)

regimes52.0ms (0.3%)

regimes4.0ms (0%)

bsearch71.0ms (0.5%)

bsearch69.0ms (0.4%)

bsearch59.0ms (0.4%)

bsearch60.0ms (0.4%)

bsearch68.0ms (0.4%)

bsearch39.0ms (0.2%)

bsearch39.0ms (0.2%)

simplify15.0ms (0.1%)

soundness3.5s (22.1%)

preprocess63.0ms (0.4%)

end0.0ms (0%)

Profiling