Metrics for Quadratic roots, full range

analyze207.0ms (1.6%)

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: 88.0ms

ival-mult: 40.0ms (45.5% of total)

ival-neg: 12.0ms (13.6% of total)

ival-sqrt: 11.0ms (12.5% of total)

ival-div: 8.0ms (9.1% of total)

ival-sub: 7.0ms (8% of total)

ival-add: 7.0ms (8% of total)

const: 2.0ms (2.3% of total)

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

sample2.1s (16.2%)

Results

722.0ms	1860×	2	valid
630.0ms	5600×	0	valid
192.0ms	796×	1	valid
133.0ms	910×	0	invalid

Precisions

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

ival-mult: 408.0ms (37.8% of total)

ival-sqrt: 136.0ms (12.6% of total)

ival-div: 114.0ms (10.6% of total)

ival-sub: 106.0ms (9.8% of total)

backward-pass: 103.0ms (9.5% of total)

ival-add: 102.0ms (9.5% of total)

ival-neg: 89.0ms (8.3% of total)

const: 22.0ms (2% of total)

Bogosity

preprocess180.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

2302×	`fnmadd-define`
1686×	`fma-define`
1682×	`fnmadd-define`
1680×	`div-sub`
1636×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	165
1	190	150
2	551	140
3	1497	140
4	4635	140
0	14	16
1	34	15
2	73	14
3	172	14
4	296	14
5	528	14
6	1046	14
7	2242	14
8	5182	14
9	7757	14
0	8173	14

Stop Event

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

Calls

Call 1

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

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

Call 2

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

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

explain245.0ms (1.8%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
112	0	-	0	-	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`
62	2	(-3.593301547516867e+185 2.828172685826068e+98 488940387.8814489)	0	-	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`
12	0	-	1	(-5.963086974907662e-296 1.387942360004812e+40 -2.2466573402360554e+23)	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
1	0	-	0	-	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`
0	0	-	0	-	`b`
0	0	-	0	-	`(*.f64 #s(literal 4 binary64) a)`
0	0	-	0	-	`(neg.f64 b)`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`c`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) a)`
0	0	-	0	-	`(.f64 (.f64 #s(literal 4 binary64) a) c)`
0	0	-	0	-	`(*.f64 b b)`
0	0	-	0	-	`#s(literal 4 binary64)`
0	0	-	0	-	`a`

Results

92.0ms	346×	0	valid
77.0ms	108×	2	valid
21.0ms	58×	1	valid

Compiler

Compiled 168 to 44 computations (73.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 21.0ms (27.6% of total)

ival-sqrt: 14.0ms (18.4% of total)

ival-sub: 13.0ms (17.1% of total)

backward-pass: 9.0ms (11.8% of total)

ival-div: 7.0ms (9.2% of total)

ival-neg: 5.0ms (6.6% of total)

ival-add: 4.0ms (5.3% of total)

const: 1.0ms (1.3% 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
▶	51.2%	(/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b) (.f64 a #s(literal 2 binary64)))

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify126.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

2146×	`fnmadd-define`
1564×	`fma-define`
1456×	`fnmsub-define`
1296×	`fmm-def`
1262×	`fmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	61
1	28	57
2	56	57
3	86	57
4	147	57
5	246	57
6	409	57
7	823	57
8	1955	57
9	4401	57
10	6436	57
11	7252	57
0	8065	57

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize101.0ms (0.8%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))
✓	accuracy	95.7%	(/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b) (.f64 a #s(literal 2 binary64)))
✓	accuracy	77.4%	(-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b)
✓	accuracy	59.1%	(sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))))

Results

43.0ms	54×	2	valid
32.0ms	173×	0	valid
10.0ms	29×	1	valid

Compiler

Compiled 70 to 14 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 12.0ms (33.3% of total)

ival-sub: 10.0ms (27.8% of total)

backward-pass: 5.0ms (13.9% of total)

ival-sqrt: 4.0ms (11.1% of total)

ival-div: 3.0ms (8.3% of total)

ival-add: 2.0ms (5.6% of total)

const: 1.0ms (2.8% of total)

series22.0ms (0.2%)

Counts

4 → 144

Calls

Call 1

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

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

Calls

36 calls:

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

rewrite369.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4744×	`-lowering-.f32`
4744×	`-lowering-.f64`
3218×	`/-lowering-/.f32`
3218×	`/-lowering-/.f64`
1202×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	63	39
2	539	39
3	7590	39
0	8088	39

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 382

Calls

Call 1

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

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

simplify276.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

5864×	`-lowering-.f32`
5864×	`-lowering-.f64`
2358×	`+-lowering-+.f64`
2358×	`+-lowering-+.f32`
1600×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	543	3071
1	1886	2859
2	7132	2847
0	8001	2847

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

eval93.0ms (0.7%)

Compiler: Compiled 21444 to 1961 computations (90.9% saved)

prune96.0ms (0.7%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	501	25	526
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	502	25	527

Accuracy

92.0%

Counts

527 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.5%	(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (.f64 b b) (.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)) (pow.f64 (/.f64 (.f64 b (.f64 b b)) (+.f64 (+.f64 (.f64 b b) (.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 (/.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (.f64 b b) (.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 (pow.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (.f64 b b) (.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 (.f64 b b)) (+.f64 (+.f64 (.f64 b b) (.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)) (+.f64 (+.f64 (.f64 b b) (.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 (pow.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (.f64 b b) (.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)) (+.f64 (+.f64 (.f64 b b) (.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)))
	27.4%	(/.f64 (/.f64 (+.f64 (.f64 b b) (-.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (.f64 b b))) (.f64 a #s(literal 2 binary64))) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))))))
	51.0%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
	50.7%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))))) b) (.f64 a #s(literal 2 binary64)))
	27.4%	(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (.f64 a (.f64 c c)) (*.f64 b b))) b)
	10.0%	(/.f64 (-.f64 (+.f64 b (.f64 (.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (.f64 a (.f64 c (/.f64 a (.f64 b (.f64 b b)))))))) b) (*.f64 a #s(literal 2 binary64)))
▶	33.6%	(/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) a) (.f64 a (/.f64 b #s(literal 2 binary64)))) (.f64 a a))
	10.1%	(/.f64 (-.f64 (.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 (/.f64 c b) #s(literal -2 binary64))) b))) b) (.f64 a #s(literal 2 binary64)))
	36.4%	(/.f64 (-.f64 (.f64 b (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) b) (*.f64 a #s(literal 2 binary64)))
▶	27.3%	(/.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (.f64 a #s(literal 2 binary64)))
	31.6%	(/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a))) b) (*.f64 a #s(literal 2 binary64)))
	27.4%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (.f64 b b) (-.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (.f64 b b)))) (.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))))))
	24.8%	(/.f64 (.f64 (.f64 c #s(literal -2 binary64)) (+.f64 (/.f64 a b) (.f64 a (.f64 c (/.f64 a (.f64 b (.f64 b b))))))) (*.f64 a #s(literal 2 binary64)))
	22.1%	(/.f64 (.f64 (.f64 a #s(literal -2 binary64)) (+.f64 (/.f64 c b) (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))))) (*.f64 a #s(literal 2 binary64)))
▶	36.4%	(/.f64 (.f64 b (.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 a (.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) (*.f64 a #s(literal 2 binary64)))
	30.3%	(/.f64 (.f64 a (.f64 (/.f64 c b) #s(literal -2 binary64))) (*.f64 a #s(literal 2 binary64)))
▶	36.7%	(/.f64 b (neg.f64 a))
▶	51.1%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
	51.1%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b)) a))
	27.0%	(-.f64 (/.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 (.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))))
	25.5%	(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))))
	34.5%	(-.f64 #s(literal 0 binary64) (/.f64 c b))
	38.5%	(+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b) (.f64 a #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (/.f64 b (*.f64 a #s(literal 2 binary64)))))
	51.1%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b))
	35.9%	(.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))) (-.f64 #s(literal 0 binary64) b))

Compiler

Compiled 1642 to 720 computations (56.2% saved)

simplify190.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) a)
✓	cost-diff	256	(-.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) a) (*.f64 a (/.f64 b #s(literal 2 binary64))))
✓	cost-diff	256	(/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) a) (.f64 a (/.f64 b #s(literal 2 binary64)))) (.f64 a a))
✓	cost-diff	0	(*.f64 b b)
✓	cost-diff	0	(-.f64 (sqrt.f64 (*.f64 b b)) b)
✓	cost-diff	0	(/.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (.f64 a #s(literal 2 binary64)))
✓	cost-diff	128	(sqrt.f64 (*.f64 b b))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (/.f64 (.f64 a (.f64 (/.f64 c b) #s(literal -2 binary64))) b))
✓	cost-diff	0	(/.f64 (.f64 b (.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 a (.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) (*.f64 a #s(literal 2 binary64)))
✓	cost-diff	128	(.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 a (*.f64 (/.f64 c b) #s(literal -2 binary64))) b)))
✓	cost-diff	128	(.f64 b (.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 a (.f64 (/.f64 c b) #s(literal -2 binary64))) b))))
✓	cost-diff	-64	(neg.f64 a)
✓	cost-diff	0	(/.f64 b (neg.f64 a))
✓	cost-diff	0	(sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))))
✓	cost-diff	0	(-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b)
✓	cost-diff	0	(/.f64 a (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b)))

Rules

2596×	`-lowering-.f32`
2596×	`-lowering-.f64`
1584×	`fma-lowering-fma.f32`
1584×	`fma-lowering-fma.f64`
1552×	`/-lowering-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	288
1	105	266
2	304	264
3	844	262
4	2603	260
5	6192	260
0	8057	260

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize381.0ms (2.9%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))
✓	accuracy	81.3%	(-.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) a) (*.f64 a (/.f64 b #s(literal 2 binary64))))
✓	accuracy	59.1%	(sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))))
✓	accuracy	54.8%	(/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) #s(literal 2 binary64)) a) (.f64 a (/.f64 b #s(literal 2 binary64)))) (.f64 a a))
✓	accuracy	100.0%	(-.f64 (sqrt.f64 (*.f64 b b)) b)
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	100.0%	(*.f64 a #s(literal 2 binary64))
✓	accuracy	54.1%	(sqrt.f64 (*.f64 b b))
✓	accuracy	97.3%	(/.f64 (.f64 a (.f64 (/.f64 c b) #s(literal -2 binary64))) b)
✓	accuracy	94.4%	(/.f64 (.f64 b (.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 a (.f64 (/.f64 c b) #s(literal -2 binary64))) b)))) (*.f64 a #s(literal 2 binary64)))
✓	accuracy	93.0%	(.f64 b (.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 a (.f64 (/.f64 c b) #s(literal -2 binary64))) b))))
✓	accuracy	91.2%	(.f64 a (.f64 (/.f64 c b) #s(literal -2 binary64)))
✓	accuracy	100.0%	(/.f64 b (neg.f64 a))
✓	accuracy	100.0%	(neg.f64 a)
✓	accuracy	99.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
✓	accuracy	96.0%	(/.f64 a (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b))
✓	accuracy	77.4%	(-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b)
✓	accuracy	59.1%	(sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))))

Results

118.0ms	47×	2	valid
85.0ms	148×	0	valid
66.0ms	54×	1	valid
22.0ms	7×	3	valid

Compiler

Compiled 325 to 38 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

backward-pass: 51.0ms (38.6% of total)

ival-mult: 30.0ms (22.7% of total)

ival-div: 28.0ms (21.2% of total)

ival-sqrt: 8.0ms (6.1% of total)

ival-sub: 7.0ms (5.3% of total)

ival-add: 5.0ms (3.8% of total)

ival-neg: 2.0ms (1.5% of total)

const: 1.0ms (0.8% of total)

series95.0ms (0.7%)

Counts

22 → 648

Calls

Call 1

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

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

162 calls:

Time	Variable		Point	Expression
21.0ms	a	@	0	(* a (* (/ c b) -2))
6.0ms	b	@	inf	(/ (- (* (/ (sqrt (+ (* b b) (* a (* c -4)))) 2) a) (* a (/ b 2))) (* a a))
3.0ms	b	@	0	(/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b))
3.0ms	c	@	0	(/ a (- (sqrt (+ (* b b) (* a (* c -4)))) b))
2.0ms	a	@	-inf	(/ (- (* (/ (sqrt (+ (* b b) (* a (* c -4)))) 2) a) (* a (/ b 2))) (* a a))

rewrite417.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3444×	`-lowering-.f32`
3444×	`-lowering-.f64`
2882×	`/-lowering-/.f32`
2882×	`/-lowering-/.f64`
1932×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	215
1	240	191
2	2000	185
0	8324	185

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 768

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b)))
(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))
(exp.f64 (.f64 (log.f64 (/.f64 a (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))) b)))) #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) (/.f64 #s(literal 1/2 binary64) a) (.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1/2 binary64) a)))
(fma.f64 (/.f64 #s(literal 1/2 binary64) a) (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 #s(literal 0 binary64) b)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))) b))))
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))) b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b)))))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))) b))))
(/.f64 #s(literal 1 binary64) (/.f64 a (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b))) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))) b)))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) #s(literal 3/2 binary64)) (.f64 b (.f64 b b)))) (.f64 a (+.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) (.f64 b (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))))))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) (.f64 b b))) (.f64 a (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))))))
(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) #s(literal 3/2 binary64)) (.f64 b (.f64 b b)))) (+.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) (.f64 b (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c)))))))
(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) (.f64 b b))) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b)) a)
(pow.f64 (/.f64 a (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 a (.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b) a))
(.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b) (/.f64 #s(literal 1/2 binary64) a))
(.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b)))))
(.f64 #s(literal 1 binary64) (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))) b) (/.f64 #s(literal 1/2 binary64) a)))
(.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b) a) #s(literal 1/2 binary64))
(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b))
(.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) a)) (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b)))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b) a)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b))) (-.f64 #s(literal 0 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b))))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))) b))))
(/.f64 a (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))) b))
(/.f64 a (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))) b))))
(/.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))) b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))) b) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))) b) a))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))) b) a) #s(literal 1 binary64)))
(/.f64 (.f64 a #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b))) (.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b)) a)) (.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b)) (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))) b))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b)) (.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b)) (-.f64 #s(literal 0 binary64) a))) (.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b)) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))) b)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b)))) (.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b)) (-.f64 #s(literal 0 binary64) a))) (.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b)) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))) b)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b) a)) (.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b)) #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))) b) a)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b) a))) (.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b)) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b)) (neg.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))) b) a))))
(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))) b)) #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))) b) a) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))) b) a) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 a (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b)))
(.f64 (-.f64 #s(literal 0 binary64) a) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b))))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b))))
(.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b)) a)
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b)) (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)))
(.f64 (/.f64 a (-.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) #s(literal 3/2 binary64)) (.f64 b (.f64 b b)))) (+.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) (.f64 b (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c)))))))
(.f64 (/.f64 a (-.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) (.f64 b b))) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b))))
(+.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))) (-.f64 #s(literal 0 binary64) b))
(+.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))) b) (fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) b))
(+.f64 (-.f64 #s(literal 0 binary64) b) (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))))
(-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))) b)
(-.f64 (/.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) #s(literal 3/2 binary64)) (+.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) (.f64 b (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))))))) (/.f64 (.f64 b (.f64 b b)) (+.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) (.f64 b (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))))))))
(-.f64 (/.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))))) (/.f64 (.f64 b b) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))))))
(fma.f64 b #s(literal -1 binary64) (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))))
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))))
(fma.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) b))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) #s(literal 3/2 binary64)) (.f64 b (.f64 b b))) (+.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) (.f64 b (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) #s(literal 3/2 binary64)) (.f64 b (.f64 b b))) (+.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) (-.f64 (.f64 b b) (.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))) (-.f64 #s(literal 0 binary64) b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) (.f64 b (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)))))) (-.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) #s(literal 3/2 binary64)) (.f64 b (.f64 b b)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)))) (-.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) (*.f64 b b))))
(/.f64 (-.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) (.f64 b b)) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c)))))
(/.f64 (-.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) (.f64 b b)) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))) (-.f64 #s(literal 0 binary64) b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) #s(literal 3/2 binary64)) (.f64 b (.f64 b b)))) (neg.f64 (+.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) (.f64 b (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))))))))
(/.f64 (neg.f64 (-.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) (.f64 b b))) (neg.f64 (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))))))
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(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) #s(literal 3/2 binary64)) (.f64 a (.f64 a a))) (.f64 (.f64 b (.f64 b b)) (.f64 a (.f64 a a)))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) (pow.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64))) (.f64 (/.f64 a (/.f64 #s(literal 2 binary64) b)) (.f64 a (+.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64))))))))
(.f64 (-.f64 (.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) (pow.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 a b) (.f64 a b)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 a (+.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))) #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64))))))
(/.f64 a (/.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 a (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))))))
(/.f64 (.f64 a (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 a (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))))) #s(literal -2 binary64))
(/.f64 (.f64 a (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))))) #s(literal -2 binary64))
(/.f64 (.f64 a #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)))) a) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (.f64 a (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))))) #s(literal -1 binary64))
(.f64 a (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) #s(literal 2 binary64)))
(.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) (*.f64 #s(literal 1/2 binary64) a))
(.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) (/.f64 a #s(literal 2 binary64)))
(.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) #s(literal 2 binary64)) a)
(.f64 (.f64 a (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c)))) #s(literal 1/2 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))) #s(literal -2 binary64)))
(/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))))))
(/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c)))) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c)))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))))
(.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) #s(literal 1/2 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)))) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) #s(literal 2 binary64)))
(/.f64 (.f64 a (.f64 c #s(literal -2 binary64))) b)
(/.f64 (.f64 (.f64 c #s(literal -2 binary64)) a) b)
(*.f64 a (/.f64 #s(literal -2 binary64) (/.f64 b c)))
(.f64 (/.f64 c b) (.f64 a #s(literal -2 binary64)))
(.f64 #s(literal -2 binary64) (/.f64 (.f64 a c) b))
(*.f64 (/.f64 #s(literal -2 binary64) (/.f64 b c)) a)
(.f64 (.f64 a #s(literal -2 binary64)) (/.f64 c b))
(.f64 (/.f64 (.f64 a c) b) #s(literal -2 binary64))
(exp.f64 (.f64 (log.f64 (/.f64 b (.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 (/.f64 (.f64 a c) b) #s(literal 2 binary64)) b))
(neg.f64 (/.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 a c) b)) (-.f64 #s(literal 0 binary64) b)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b (.f64 #s(literal -2 binary64) (/.f64 (.f64 a c) b)))))
(/.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 a c) b)) b)
(/.f64 (.f64 (/.f64 (.f64 a c) b) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 b (.f64 #s(literal -2 binary64) (/.f64 (.f64 a c) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b (.f64 #s(literal -2 binary64) (/.f64 (.f64 a c) b))) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)) #s(literal 1 binary64)) b)
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 a c) b) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) b)))
(pow.f64 (/.f64 b (.f64 #s(literal -2 binary64) (/.f64 (.f64 a c) b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 b (.f64 #s(literal -2 binary64) (/.f64 (.f64 a c) b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 a (/.f64 (.f64 c #s(literal -2 binary64)) (*.f64 b b)))
(*.f64 (/.f64 #s(literal -2 binary64) (/.f64 b c)) (/.f64 a b))
(.f64 (/.f64 #s(literal -2 binary64) (/.f64 b c)) (.f64 a (/.f64 #s(literal 1 binary64) b)))
(.f64 (.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)) (/.f64 #s(literal 1 binary64) b))
(.f64 (.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) b)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)) b))
(.f64 (/.f64 #s(literal 1 binary64) b) (.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b)))
(.f64 (/.f64 #s(literal 1 binary64) b) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 a c) b) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) b)))
(.f64 (/.f64 (.f64 a c) b) (/.f64 #s(literal -2 binary64) b))
(.f64 (/.f64 (.f64 c #s(literal -2 binary64)) (*.f64 b b)) a)
(*.f64 a #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) a)
(+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))
(+.f64 (.f64 (.f64 a #s(literal -4 binary64)) c) (*.f64 b b))
(exp.f64 (log.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)))) #s(literal 1/2 binary64)))
(fabs.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c)))
(-.f64 (/.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (-.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))))
(sqrt.f64 (.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))))
(fma.f64 a (.f64 c #s(literal -4 binary64)) (.f64 b b))
(fma.f64 b b (.f64 (.f64 a #s(literal -4 binary64)) c))
(fma.f64 c (.f64 #s(literal -4 binary64) a) (.f64 b b))
(fma.f64 #s(literal -4 binary64) (.f64 a c) (.f64 b b))
(fma.f64 (.f64 c #s(literal -4 binary64)) a (.f64 b b))
(fma.f64 (sqrt.f64 b) (pow.f64 b #s(literal 3/2 binary64)) (.f64 (.f64 a #s(literal -4 binary64)) c))
(fma.f64 (.f64 a c) #s(literal -4 binary64) (.f64 b b))
(fma.f64 (.f64 a #s(literal -4 binary64)) c (.f64 b b))
(fma.f64 (pow.f64 b #s(literal 3/2 binary64)) (sqrt.f64 b) (.f64 (.f64 a #s(literal -4 binary64)) c))
(/.f64 (+.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 (.f64 a c) (.f64 (.f64 a c) (.f64 a c))) #s(literal -64 binary64))) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 a #s(literal -4 binary64)) c) (-.f64 (.f64 (.f64 a #s(literal -4 binary64)) c) (.f64 b b)))))
(/.f64 (+.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 (.f64 a c) (.f64 (.f64 a c) (.f64 a c))) #s(literal -64 binary64))) (+.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 b (.f64 b (.f64 (.f64 a #s(literal -4 binary64)) c))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 a #s(literal -4 binary64)) c) (-.f64 (.f64 (.f64 a #s(literal -4 binary64)) c) (.f64 b b)))) (+.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 (.f64 a c) (.f64 (.f64 a c) (.f64 a c))) #s(literal -64 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))))))
(/.f64 (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c)))) (-.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 (.f64 a c) (.f64 (.f64 a c) (.f64 a c))) #s(literal -64 binary64)))) (neg.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 a #s(literal -4 binary64)) c) (-.f64 (.f64 (.f64 a #s(literal -4 binary64)) c) (.f64 b b))))))
(/.f64 (neg.f64 (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))))) (neg.f64 (-.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))))
(/.f64 (-.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))) (.f64 b (.f64 b (.f64 b b)))) (-.f64 (.f64 (.f64 a #s(literal -4 binary64)) c) (.f64 b b)))
(/.f64 (-.f64 (.f64 (.f64 b (.f64 b (.f64 b b))) (-.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) (.f64 (-.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))))) (.f64 (-.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) (-.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))))
(pow.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 a #s(literal -4 binary64)) c) (-.f64 (.f64 (.f64 a #s(literal -4 binary64)) c) (.f64 b b)))) (+.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 (.f64 a c) (.f64 (.f64 a c) (.f64 a c))) #s(literal -64 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c))))) #s(literal -1 binary64))
(.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))))
(.f64 (+.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 (.f64 a c) (.f64 (.f64 a c) (.f64 a c))) #s(literal -64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 (.f64 (.f64 a #s(literal -4 binary64)) c) (-.f64 (.f64 (.f64 a #s(literal -4 binary64)) c) (*.f64 b b))))))
(.f64 (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))))
(.f64 (pow.f64 (+.f64 (.f64 (.f64 b b) (.f64 b (.f64 b (.f64 b b)))) (.f64 (.f64 (.f64 a c) (.f64 (.f64 a 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 (.f64 (.f64 a #s(literal -4 binary64)) c) (-.f64 (.f64 (.f64 a #s(literal -4 binary64)) c) (*.f64 b b))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 b (.f64 b (.f64 b b))) (.f64 #s(literal 16 binary64) (.f64 (.f64 a c) (.f64 a c)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))) #s(literal 1 binary64)))

simplify419.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

6932×	`-lowering-.f32`
6932×	`-lowering-.f64`
4044×	`+-lowering-+.f64`
4044×	`+-lowering-+.f32`
1748×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1205	10447
1	4504	9703
0	8748	9703

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 648

Calls

Call 1

Inputs
(* -1 (/ c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(* -1 (/ c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(* -1 (/ c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(* -1/2 (/ b c))
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b)))))
(+ (* -1/2 (/ b c)) (* a (+ (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (/ (pow c 2) (pow b 5)))))) (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b)))))
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2))))
(- (+ (* -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)))) (* -1 (/ b (* c (pow (sqrt -4) 2)))))
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (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)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (* c (pow (sqrt -4) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))
(* -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 (/ (- (+ (* -1/32 (/ (* a (pow b 3)) (pow c 2))) (* 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)))))))))) (+ (* -1/16 (* (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)))
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -4))) (/ b (* c (pow (sqrt -4) 2))))
(+ (* 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 (- (* -1 (* b (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* (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 (/ b c))
(* b (- (* 1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c))))
(* 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)))))
(* 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 (/ (+ (* 1/2 a) (* 1/2 (/ (* (pow a 2) c) (pow b 2)))) b))
(* -1 (/ (- (+ (* 1/2 a) (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b))
(* -1 (/ (- (+ (* -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))
(/ (+ (* -1/2 b) (* 1/2 (/ (* a c) b))) c)
(/ (+ (* -1/2 b) (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)
(/ (+ (* -1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)) (/ (pow a 3) (pow b 5)))))) (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* -1/2 (/ a b))))) c)
(* (sqrt (/ a c)) (/ 1 (sqrt -4)))
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -4))) (/ b (pow (sqrt -4) 2))) 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)))) (* -1 (/ b (pow (sqrt -4) 2)))) c)
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (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)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (/ b (pow (sqrt -4) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) 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 (/ (- (+ (* 1/32 (/ (* (pow b 3) c) a)) (* 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)))))))))) (+ (* -1/8 (* (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))
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4)))
(* -2 (/ (* a c) b))
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* -2 (/ (* a c) b))
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))))
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a)))
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a))))
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -2 (/ (* a c) b))
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4))))
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c)))
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c)))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c))))
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* (sqrt (* a c)) (sqrt -4))
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4)))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
b
(* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 b)
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))))
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))))
b
(+ b (* -2 (/ (* a c) b)))
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))))
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))))
(* (sqrt (* a c)) (sqrt -4))
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))))
(* -2 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 (/ b a))
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* -1 a)
(* 2 (/ (* a c) b))
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b)
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b)
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b)
(* -2 b)
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* b (- (* 2 (/ (* a c) (pow b 2))) 2))
(* -2 b)
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2))))))
(* -2 b)
(+ (* -2 b) (* 2 (/ (* a c) b)))
(+ (* -2 b) (* 2 (/ (* a c) b)))
(+ (* -2 b) (* 2 (/ (* a c) b)))
(* 2 (/ (* a c) b))
(* a (+ (* -2 (/ b a)) (* 2 (/ c b))))
(* a (+ (* -2 (/ b a)) (* 2 (/ c b))))
(* a (+ (* -2 (/ b a)) (* 2 (/ c b))))
(* 2 (/ (* a c) b))
(* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a)))))
(* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a)))))
(* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a)))))
(* -2 b)
(+ (* -2 b) (* 2 (/ (* a c) b)))
(+ (* -2 b) (* 2 (/ (* a c) b)))
(+ (* -2 b) (* 2 (/ (* a c) b)))
(* 2 (/ (* a c) b))
(* c (+ (* -2 (/ b c)) (* 2 (/ a b))))
(* c (+ (* -2 (/ b c)) (* 2 (/ a b))))
(* c (+ (* -2 (/ b c)) (* 2 (/ a b))))
(* 2 (/ (* a c) b))
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c)))))
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c)))))
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c)))))
-2
(- (* 2 (/ (* a c) (pow b 2))) 2)
(- (* 2 (/ (* a c) (pow b 2))) 2)
(- (* 2 (/ (* a c) (pow b 2))) 2)
(* 2 (/ (* a c) (pow b 2)))
(* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a))))
(* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a))))
(* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a))))
(* 2 (/ (* a c) (pow b 2)))
(* -1 (* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* -1 (* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
(* -1 (* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a)))))
-2
(- (* 2 (/ (* a c) (pow b 2))) 2)
(- (* 2 (/ (* a c) (pow b 2))) 2)
(- (* 2 (/ (* a c) (pow b 2))) 2)
(* 2 (/ (* a c) (pow b 2)))
(* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c))))
(* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c))))
(* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c))))
(* 2 (/ (* a c) (pow b 2)))
(* -1 (* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c)))))
(* -1 (* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c)))))
(* -1 (* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c)))))
(* 2 (/ (* a c) (pow b 2)))
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) (pow b 2))
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) (pow b 2))
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) (pow b 2))
-2
(- (* 2 (/ (* a c) (pow b 2))) 2)
(- (* 2 (/ (* a c) (pow b 2))) 2)
(- (* 2 (/ (* a c) (pow b 2))) 2)
-2
(- (* 2 (/ (* a c) (pow b 2))) 2)
(- (* 2 (/ (* a c) (pow b 2))) 2)
(- (* 2 (/ (* a c) (pow b 2))) 2)
(/ c b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(/ (+ c (* -1 (/ (pow b 2) a))) b)
(* -1 (/ b a))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* b (- (/ c (pow b 2)) (/ 1 a)))
(* -1 (/ b a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(* -1 (/ b a))
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ (+ (* -1 b) (/ (* a c) b)) a)
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(+ (* -1 (/ b a)) (/ c b))
(/ c b)
(+ (* -1 (/ b a)) (/ c b))
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2
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2
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2
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2
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b
b
b
b
b
b
b
b
(* -1 b)
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0
0
0
0
0
0
0
0
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(* -1 (* (sqrt (/ c a)) (sqrt -1)))
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(* -1 (/ (* (pow a 2) c) b))
(* (pow a 2) (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))
(* (pow a 2) (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))
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(* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(* (pow a 2) (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(* (pow a 2) (- (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (* 1/2 (/ b a))))
(* (pow a 2) (- (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) (* 1/2 (/ b a))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* -1/2 b)) a))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* -1/2 b)) a))))
(* -1 (/ (* (pow a 2) c) b))
(* c (+ (* -1 (/ (* (pow a 3) c) (pow b 3))) (* -1 (/ (pow a 2) b))))
(* c (+ (* -1 (/ (pow a 2) b)) (* c (+ (* -2 (/ (* (pow a 4) c) (pow b 5))) (* -1 (/ (pow a 3) (pow b 3)))))))
(* c (+ (* -1 (/ (pow a 2) b)) (* c (+ (* -1 (/ (pow a 3) (pow b 3))) (* c (+ (* -2 (/ (pow a 4) (pow b 5))) (* -1/4 (/ (* a (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) b))))))))
(* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(* c (+ (* -1/2 (/ (* a b) c)) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4)))))
(* c (- (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4)))) (* 1/2 (/ (* a b) c))))
(* c (- (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))))) (* 1/2 (/ (* a b) c))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* -1 (* c (+ (* 1/2 (/ (* a b) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* a b))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c)) (* 1/2 (* a b))) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(+ (* 1/4 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))))))
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(* 1/2 (* a b))
(* b (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a)))
(* b (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 1/2 a))))
(* b (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 1/2 a)))))
(* -1/2 (* a b))
(* -1 (* b (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (* 1/2 a))))
(* -1 (* b (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 1/2 a)))))
(* -1 (* b (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* (pow a 2) c) (pow b 2))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 1/2 a))))))
(* 1/2 (* a b))
(* a (+ (* -1 (/ (* a c) b)) (* 1/2 b)))
(* a (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))))
(* a (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))))
(* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(* (pow a 2) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(* (pow a 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* (pow a 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))))))
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1))))))))
(* 1/2 (* a b))
(+ (* -1 (/ (* (pow a 2) c) b)) (* 1/2 (* a b)))
(+ (* 1/2 (* a b)) (* c (+ (* -1 (/ (* (pow a 3) c) (pow b 3))) (* -1 (/ (pow a 2) b)))))
(+ (* 1/2 (* a b)) (* c (+ (* -1 (/ (pow a 2) b)) (* c (+ (* -2 (/ (* (pow a 4) c) (pow b 5))) (* -1 (/ (pow a 3) (pow b 3))))))))
(* 1/2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))
(* c (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4)))))
(* c (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))))))
(* c (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -4)))))))
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))
(* -1 (* c (+ (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))))
(* 1/2 (* (sqrt (* a c)) (sqrt -4)))
(+ (* 1/4 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (* a c)) (sqrt -4))))
(+ (* 1/2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))
(+ (* 1/2 (* (sqrt (* a c)) (sqrt -4))) (* (pow b 2) (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5)))))))))
(* 1/2 b)
(* b (+ 1/2 (* -1 (/ (* a c) (pow b 2)))))
(* b (+ 1/2 (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))
(* b (+ 1/2 (+ (* -2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1/2 b)
(* -1 (* b (+ 1/2 (* -1 (/ (* a c) (pow b 2))))))
(* -1 (* b (+ 1/2 (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))
(* -1 (* b (+ 1/2 (+ (* -2 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* a c) (pow b 2))) (* -1 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))
(* 1/2 b)
(+ (* -1 (/ (* a c) b)) (* 1/2 b))
(+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))
(+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))
(* 1/2 (* (sqrt (* a c)) (sqrt -4)))
(* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(* a (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(* a (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* a (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))
(* -1 (* a (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))
(* -1 (* a (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))
(* 1/2 b)
(+ (* -1 (/ (* a c) b)) (* 1/2 b))
(+ (* 1/2 b) (* c (+ (* -1 (/ a b)) (* -1 (/ (* (pow a 2) c) (pow b 3))))))
(+ (* 1/2 b) (* c (+ (* -1 (/ a b)) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 5))) (* -1 (/ (pow a 2) (pow b 3))))))))
(* 1/2 (* (sqrt (* a c)) (sqrt -4)))
(* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4)))))
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4))))))
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ a c)) (sqrt -4)))))))
(* -1 (* (sqrt (* a c)) (sqrt -1)))
(* -1 (* c (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))
(* -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))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* -2 (/ (* a c) (pow b 2)))
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* -4 (* a c))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(pow b 2)
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(+ (* -4 (* a c)) (pow b 2))
(* -4 (* a c))
(* 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 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 c b)) (/.f64 (.f64 a (.f64 c c)) (.f64 b (.f64 b b))))
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))
(-.f64 (.f64 a (-.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 a (.f64 c (.f64 c c)))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 c c) (.f64 b (.f64 b b))))) (/.f64 c b))
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))
(-.f64 (.f64 a (-.f64 (.f64 a (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 c (.f64 c c))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 a (.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)))) b))) (/.f64 (.f64 c c) (.f64 b (*.f64 b b))))) (/.f64 c b))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))
(+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) a) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (*.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))))
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))))
(+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) a) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 b b)) (sqrt.f64 #s(literal -4 binary64))))) (.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (.f64 c (.f64 c c)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64))))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a)))
(-.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) a) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)))
(-.f64 (-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))) (.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 b #s(literal 1/2 binary64))) a))
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a)))
(-.f64 (-.f64 #s(literal 0 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (-.f64 (.f64 b #s(literal 1/2 binary64)) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))) (.f64 #s(literal 1/128 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) (.f64 c (.f64 c c)))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) a)) a))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 (*.f64 b #s(literal -1/2 binary64)) a))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (.f64 b (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (/.f64 #s(literal -1/2 binary64) a))))
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) (.f64 b (+.f64 (.f64 b (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (.f64 c (.f64 c c)))) (/.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (sqrt.f64 #s(literal -4 binary64)))))) (/.f64 #s(literal -1/2 binary64) a))))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) c) (/.f64 (.f64 a (.f64 c c)) (*.f64 b b))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b)
(/.f64 (-.f64 (-.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 c (.f64 c c)) (.f64 a a))) (pow.f64 b #s(literal 4 binary64))) c) (/.f64 (.f64 a (.f64 c c)) (.f64 b b))) b)
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)
(/.f64 (+.f64 (-.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 c (.f64 c c)) (.f64 a a))) (pow.f64 b #s(literal 4 binary64))) c) (-.f64 (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) a))) (/.f64 (.f64 a (.f64 c c)) (*.f64 b b)))) b)
(* -1 (/ b a))
(/.f64 b (-.f64 #s(literal 0 binary64) a))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a))))
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c (.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 a (.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 c (.f64 b b))) (-.f64 #s(literal 0 binary64) b))
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))))
(.f64 (+.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (.f64 a (.f64 c c)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 c (.f64 b b))) (.f64 #s(literal -2 binary64) (.f64 (.f64 a a) (/.f64 (.f64 c (*.f64 c c)) (pow.f64 b #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) b))
(* -1 (/ c b))
(-.f64 #s(literal 0 binary64) (/.f64 c b))
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))
(.f64 c (+.f64 (-.f64 #s(literal 0 binary64) (.f64 a (/.f64 c (.f64 b (.f64 b b))))) (/.f64 #s(literal -1 binary64) b)))
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b)))
(.f64 c (+.f64 (.f64 c (-.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 c (.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (/.f64 a (.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) b)))
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b)))
(.f64 c (+.f64 (.f64 c (-.f64 (.f64 c (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 a a)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 c (.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)))) (.f64 b a)))) (/.f64 a (.f64 b (*.f64 b b))))) (/.f64 #s(literal -1 binary64) b)))
(* 1/2 (* (sqrt (/ c a)) (sqrt -4)))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))
(.f64 c (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 b (.f64 c a))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))
(.f64 c (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 b (.f64 c a))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))))) (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (.f64 c (*.f64 c c)))))))))
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))))
(.f64 c (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 b (.f64 c a))) (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a))))) (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))) (.f64 c (.f64 c c))))))) (.f64 #s(literal -1/16 binary64) (.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (.f64 #s(literal -4 binary64) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))))))))
(* -1 (* (sqrt (/ c a)) (sqrt -1)))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 (-.f64 #s(literal 0 binary64) c) (+.f64 (/.f64 (.f64 b #s(literal 1/2 binary64)) (.f64 c a)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))))
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (/.f64 (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) a) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (.f64 a (.f64 a a))))) (.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64)))))) c)))
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))
(.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c a)))) (/.f64 (-.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) a) (/.f64 (+.f64 (.f64 #s(literal -1/128 binary64) (.f64 (.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 c (pow.f64 a #s(literal 5 binary64))))))) (.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 c (.f64 a (.f64 a a))))) (.f64 (.f64 b b) (sqrt.f64 #s(literal -1 binary64))))) c)) c)))
(* -1/2 (/ b c))
(/.f64 (*.f64 b #s(literal -1/2 binary64)) c)
(+ (* -1/2 (/ b c)) (* 1/2 (/ a b)))
(+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) c) (/.f64 (.f64 a #s(literal 1/2 binary64)) b))
(+ (* -1/2 (/ b c)) (* a (+ (* -1 (* a (+ (* -1 (/ c (pow b 3))) (* 1/2 (/ c (pow b 3)))))) (* 1/2 (/ 1 b)))))
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(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (*.f64 b b))
(* -2 (/ (* a c) (pow b 2)))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) (*.f64 b b))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a)))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (*.f64 b b))))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (*.f64 b b))))
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2)))))
(.f64 (.f64 b b) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -4 binary64) (.f64 c a)) (*.f64 b b))))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a)))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(.f64 a (+.f64 (.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(.f64 a (+.f64 (.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a)))
(* a (+ (* -4 c) (/ (pow b 2) a)))
(.f64 a (+.f64 (.f64 c #s(literal -4 binary64)) (/.f64 (*.f64 b b) a)))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)))
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c))))
(.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 (.f64 c #s(literal 4 binary64)) (/.f64 (*.f64 b b) a)))
(pow b 2)
(*.f64 b b)
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a)))
(+ (* -4 (* a c)) (pow b 2))
(+.f64 (.f64 b b) (.f64 #s(literal -4 binary64) (*.f64 c a)))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(.f64 c (+.f64 (.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(.f64 c (+.f64 (.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)))
(* c (+ (* -4 a) (/ (pow b 2) c)))
(.f64 c (+.f64 (.f64 a #s(literal -4 binary64)) (/.f64 (*.f64 b b) c)))
(* -4 (* a c))
(.f64 #s(literal -4 binary64) (.f64 c a))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)))
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a))))
(.f64 (-.f64 #s(literal 0 binary64) c) (-.f64 (.f64 a #s(literal 4 binary64)) (/.f64 (*.f64 b b) c)))

eval263.0ms (2%)

Compiler: Compiled 44212 to 4828 computations (89.1% saved)

prune492.0ms (3.7%)

Pruning

36 alts after pruning (33 fresh and 3 done)

	Pruned	Kept	Total
New	1600	26	1626
Fresh	13	7	20
Picked	2	3	5
Done	0	0	0
Total	1615	36	1651

Accuracy

92.2%

Counts

1651 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.5%	(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (.f64 b b) (.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)) (pow.f64 (/.f64 (.f64 b (.f64 b b)) (+.f64 (+.f64 (.f64 b b) (.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 (/.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (.f64 b b) (.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 (pow.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (.f64 b b) (.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 (.f64 b b)) (+.f64 (+.f64 (.f64 b b) (.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)) (+.f64 (+.f64 (.f64 b b) (.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 (pow.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (.f64 b b) (.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)) (+.f64 (+.f64 (.f64 b b) (.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)))
	51.0%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
	50.7%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))))) b) (.f64 a #s(literal 2 binary64)))
	20.5%	(/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a))) #s(literal 2 binary64)) a) (.f64 a (/.f64 b #s(literal 2 binary64)))) (*.f64 a a))
✓	27.3%	(/.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (.f64 a #s(literal 2 binary64)))
	31.6%	(/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a))) b) (*.f64 a #s(literal 2 binary64)))
	24.0%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 b a)) (.f64 a a))
▶	36.2%	(/.f64 (.f64 (/.f64 b a) (+.f64 #s(literal -2 binary64) (/.f64 (.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) b))) #s(literal 2 binary64))
	27.4%	(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) (.f64 b b))) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)))))
	23.1%	(/.f64 (.f64 (+.f64 (/.f64 (.f64 c (.f64 a a)) (.f64 #s(literal -1 binary64) (.f64 b b))) a) (-.f64 #s(literal 0 binary64) b)) (.f64 a a))
	9.4%	(/.f64 (.f64 b (/.f64 (.f64 #s(literal 2 binary64) (.f64 c a)) (.f64 b b))) (*.f64 a #s(literal 2 binary64)))
	30.3%	(/.f64 (.f64 a (.f64 (/.f64 c b) #s(literal -2 binary64))) (*.f64 a #s(literal 2 binary64)))
	9.5%	(/.f64 c b)
	12.1%	(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (.f64 a (.f64 a a))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 a a) (.f64 #s(literal 0 binary64) a)))))
	19.3%	(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)))
✓	36.7%	(/.f64 b (neg.f64 a))
	36.6%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) a) b))
	36.2%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal -2 binary64) (/.f64 (.f64 (/.f64 (.f64 a c) b) #s(literal 2 binary64)) b)))))
	34.1%	(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 b #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 c a)) b)) c))
	34.4%	(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c))
	27.9%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) b)))
✓	51.1%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
	31.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a))) b)))
	34.9%	(/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) c) (/.f64 (.f64 a #s(literal 1/2 binary64)) b)))
	32.7%	(/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) c) (.f64 a (+.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (/.f64 c (.f64 b (.f64 b b))))) (/.f64 #s(literal 1/2 binary64) b)))))
▶	51.1%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b)) a))
	34.5%	(/.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c))))
	36.5%	(-.f64 (/.f64 c b) (/.f64 b a))
	34.5%	(-.f64 #s(literal 0 binary64) (/.f64 c b))
	38.5%	(+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b) (.f64 a #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (/.f64 b (*.f64 a #s(literal 2 binary64)))))
▶	51.1%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b))
	36.5%	(*.f64 (/.f64 #s(literal -1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)))
	36.5%	(*.f64 (/.f64 #s(literal -1 binary64) a) b)
▶	30.1%	(.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (.f64 c a))))
	18.0%	(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 0 binary64) a) b)) #s(literal -1 binary64)))
▶	9.8%	#s(literal 0 binary64)

Compiler

Compiled 1671 to 793 computations (52.5% saved)

simplify230.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

2662×	`-lowering-.f32`
2662×	`-lowering-.f64`
2150×	`fma-lowering-fma.f32`
2150×	`fma-lowering-fma.f64`
1638×	`fma-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	33	254
1	78	239
2	186	236
3	566	236
4	1779	232
5	3059	227
6	5472	227
7	7839	227
0	8363	227

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize259.0ms (1.9%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b)) a))
✓	accuracy	95.7%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b)) a)
✓	accuracy	77.4%	(-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))) b)
✓	accuracy	59.1%	(sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c)))
✓	accuracy	100.0%	(.f64 (/.f64 (.f64 a c) b) #s(literal 2 binary64))
✓	accuracy	97.3%	(/.f64 (.f64 (/.f64 (.f64 a c) b) #s(literal 2 binary64)) b)
✓	accuracy	94.3%	(/.f64 (*.f64 a c) b)
✓	accuracy	89.2%	(.f64 (/.f64 b a) (+.f64 #s(literal -2 binary64) (/.f64 (.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) b)))
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 c a)))
✓	accuracy	100.0%	(*.f64 c a)
✓	accuracy	94.0%	(/.f64 b (*.f64 c a))
✓	accuracy	90.6%	(.f64 c (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (.f64 c a))))
✓	accuracy	99.7%	(+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))
✓	accuracy	95.8%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c))) b))
✓	accuracy	77.4%	(-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c))) b)
✓	accuracy	59.1%	(sqrt.f64 (+.f64 (.f64 b b) (.f64 (*.f64 a #s(literal -4 binary64)) c)))

Results

89.0ms	174×	0	valid
67.0ms	46×	2	valid
34.0ms	32×	1	valid
9.0ms	4×	3	valid

Compiler

Compiled 277 to 34 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-mult: 29.0ms (36.5% of total)

ival-div: 25.0ms (31.5% of total)

backward-pass: 11.0ms (13.9% of total)

ival-sub: 5.0ms (6.3% of total)

ival-add: 4.0ms (5% of total)

ival-sqrt: 4.0ms (5% of total)

const: 1.0ms (1.3% of total)

series40.0ms (0.3%)

Counts

20 → 648

Calls

Call 1

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

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

162 calls:

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

rewrite323.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

5148×	`-lowering-.f32`
5148×	`-lowering-.f64`
2992×	`/-lowering-/.f32`
2992×	`/-lowering-/.f64`
1882×	`--lowering--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	182
1	192	170
2	1797	170
0	8415	170

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 558

Calls

Call 1

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

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

simplify489.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

7118×	`-lowering-.f32`
7118×	`-lowering-.f64`
4418×	`+-lowering-+.f64`
4418×	`+-lowering-+.f32`
1530×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1105	9065
1	4005	8445
0	9079	8445

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 648

Calls

Call 1

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

eval199.0ms (1.5%)

Compiler: Compiled 34777 to 3577 computations (89.7% saved)

prune163.0ms (1.2%)

Pruning

38 alts after pruning (33 fresh and 5 done)

	Pruned	Kept	Total
New	1402	9	1411
Fresh	4	24	28
Picked	3	2	5
Done	0	3	3
Total	1409	38	1447

Accuracy

92.2%

Counts

1447 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.5%	(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (.f64 b b) (.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)) (pow.f64 (/.f64 (.f64 b (.f64 b b)) (+.f64 (+.f64 (.f64 b b) (.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 (/.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (.f64 b b) (.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 (pow.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (.f64 b b) (.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 (.f64 b b)) (+.f64 (+.f64 (.f64 b b) (.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)) (+.f64 (+.f64 (.f64 b b) (.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 (pow.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (.f64 b b) (.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)) (+.f64 (+.f64 (.f64 b b) (.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)))
	15.8%	(/.f64 (/.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) (/.f64 a b)) (/.f64 #s(literal -2 binary64) (/.f64 a b))) (.f64 (/.f64 (/.f64 b a) (/.f64 b (/.f64 #s(literal 2 binary64) (/.f64 b (.f64 a c))))) (/.f64 (/.f64 b a) (/.f64 b (/.f64 #s(literal 2 binary64) (/.f64 b (.f64 a c))))))) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (/.f64 b (.f64 a c)) b))) (/.f64 a b))) #s(literal 2 binary64))
▶	51.0%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
	50.7%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))))) b) (.f64 a #s(literal 2 binary64)))
	20.5%	(/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a))) #s(literal 2 binary64)) a) (.f64 a (/.f64 b #s(literal 2 binary64)))) (*.f64 a a))
✓	27.3%	(/.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (.f64 a #s(literal 2 binary64)))
▶	31.6%	(/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a))) b) (*.f64 a #s(literal 2 binary64)))
	24.0%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 b a)) (.f64 a a))
✓	36.2%	(/.f64 (.f64 (/.f64 b a) (+.f64 #s(literal -2 binary64) (/.f64 (.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) b))) #s(literal 2 binary64))
	27.4%	(/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)) (.f64 b b))) (+.f64 b (sqrt.f64 (+.f64 (.f64 b b) (.f64 (.f64 a #s(literal -4 binary64)) c)))))
	20.7%	(/.f64 (.f64 (-.f64 (.f64 a c) (.f64 b b)) c) (.f64 b (*.f64 a c)))
	23.1%	(/.f64 (.f64 (+.f64 (/.f64 (.f64 c (.f64 a a)) (.f64 #s(literal -1 binary64) (.f64 b b))) a) (-.f64 #s(literal 0 binary64) b)) (.f64 a a))
	30.3%	(/.f64 (.f64 a (.f64 (/.f64 c b) #s(literal -2 binary64))) (*.f64 a #s(literal 2 binary64)))
▶	9.5%	(/.f64 c b)
	12.1%	(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (.f64 a (.f64 a a))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 a a) (.f64 #s(literal 0 binary64) a)))))
	19.3%	(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)))
✓	36.7%	(/.f64 b (neg.f64 a))
	34.1%	(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 b #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 c a)) b)) c))
	34.4%	(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c))
▶	27.9%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) b)))
✓	51.1%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
	31.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a))) b)))
	34.9%	(/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) c) (/.f64 (.f64 a #s(literal 1/2 binary64)) b)))
	32.7%	(/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) c) (.f64 a (+.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (/.f64 c (.f64 b (.f64 b b))))) (/.f64 #s(literal 1/2 binary64) b)))))
▶	30.8%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 b c)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) a) a))
	27.0%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 b a)) (*.f64 (/.f64 c b) #s(literal 1/2 binary64))) c) a))
	31.5%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (*.f64 c a))) b)) a))
	36.5%	(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) b) a))
	34.5%	(/.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c))))
	36.5%	(-.f64 (/.f64 c b) (/.f64 b a))
	34.5%	(-.f64 #s(literal 0 binary64) (/.f64 c b))
	38.5%	(+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b) (.f64 a #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (/.f64 b (*.f64 a #s(literal 2 binary64)))))
	31.6%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (*.f64 c a))) b))
	36.5%	(*.f64 (/.f64 #s(literal -1 binary64) a) b)
	17.5%	(.f64 c (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (/.f64 b (.f64 a c)) (/.f64 (.f64 a c) b))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))))
	9.5%	(*.f64 c (/.f64 #s(literal 1 binary64) b))
	18.0%	(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 0 binary64) a) b)) #s(literal -1 binary64)))
✓	9.8%	#s(literal 0 binary64)

Compiler

Compiled 1815 to 836 computations (53.9% saved)

simplify213.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

4320×	`-lowering-.f32`
4320×	`-lowering-.f64`
2366×	`/-lowering-/.f32`
2366×	`/-lowering-/.f64`
1506×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	243
1	85	238
2	176	225
3	428	211
4	1141	210
5	3537	210
6	7288	210
0	8287	210

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize272.0ms (2%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a))) b)
✓	accuracy	100.0%	(.f64 #s(literal -4 binary64) (.f64 c a))
✓	accuracy	99.8%	(/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a))) b) (*.f64 a #s(literal 2 binary64)))
✓	accuracy	86.4%	(sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a)))
✓	accuracy	100.0%	(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 b c)) (/.f64 (.f64 a #s(literal 1/2 binary64)) b))
✓	accuracy	99.8%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 b c)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) a) a))
✓	accuracy	96.5%	(.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 b c)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) a) a)
✓	accuracy	91.9%	(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 b c)) (/.f64 (.f64 a #s(literal 1/2 binary64)) b)) a)
✓	accuracy	100.0%	(.f64 #s(literal -2 binary64) (.f64 c a))
✓	accuracy	99.7%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) b)))
✓	accuracy	95.5%	(/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) b)
✓	accuracy	91.2%	(/.f64 a (/.f64 (.f64 #s(literal -2 binary64) (.f64 c a)) b))
✓	accuracy	100.0%	(/.f64 c b)
✓	accuracy	99.8%	(/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b))
✓	accuracy	98.6%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
✓	accuracy	88.5%	(-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b)
✓	accuracy	75.1%	(sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64)))))

Results

90.0ms	92×	0	invalid
64.0ms	126×	0	valid
44.0ms	23×	2	valid
18.0ms	14×	1	valid
2.0ms	1×	3	valid

Compiler

Compiled 251 to 38 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-mult: 48.0ms (51.7% of total)

ival-div: 25.0ms (26.9% of total)

ival-sqrt: 6.0ms (6.5% of total)

backward-pass: 6.0ms (6.5% of total)

ival-add: 3.0ms (3.2% of total)

ival-sub: 3.0ms (3.2% of total)

const: 1.0ms (1.1% of total)

series76.0ms (0.6%)

Counts

18 → 576

Calls

Call 1

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

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

Calls

144 calls:

Time	Variable		Point	Expression
28.0ms	b	@	0	(/ a (/ (* -2 (* c a)) b))
6.0ms	b	@	inf	(/ (- (sqrt (* -4 (* c a))) b) (* a 2))
5.0ms	b	@	inf	(/ 1/2 (* (/ (+ (* -1/2 (/ b c)) (/ (* a 1/2) b)) a) a))
1.0ms	c	@	0	(/ (- (sqrt (* -4 (* c a))) b) (* a 2))
1.0ms	a	@	inf	(/ 2 (- (sqrt (+ (* b b) (* a (* c -4)))) b))

rewrite118.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1094×	`-lowering-.f32`
1094×	`-lowering-.f64`
1054×	`/-lowering-/.f32`
1054×	`/-lowering-/.f64`
258×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	169
1	210	164
0	1763	164

Stop Event

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

Counts

18 → 306

Calls

Call 1

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

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

simplify413.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

5960×	`-lowering-.f32`
5960×	`-lowering-.f64`
4474×	`+-lowering-+.f64`
4474×	`+-lowering-+.f32`
1490×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	994	7691
1	3568	7279
0	8109	7279

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 576

Calls

Call 1

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

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

eval143.0ms (1.1%)

Compiler: Compiled 16921 to 2074 computations (87.7% saved)

prune186.0ms (1.4%)

Pruning

51 alts after pruning (43 fresh and 8 done)

	Pruned	Kept	Total
New	860	22	882
Fresh	7	21	28
Picked	2	3	5
Done	0	5	5
Total	869	51	920

Accuracy

96.6%

Counts

920 → 51

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.5%	(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (.f64 b b) (.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)) (pow.f64 (/.f64 (.f64 b (.f64 b b)) (+.f64 (+.f64 (.f64 b b) (.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 (/.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (.f64 b b) (.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 (pow.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (.f64 b b) (.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 (.f64 b b)) (+.f64 (+.f64 (.f64 b b) (.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)) (+.f64 (+.f64 (.f64 b b) (.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 (pow.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64)))) #s(literal 3/2 binary64)) (+.f64 (+.f64 (.f64 b b) (.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)) (+.f64 (+.f64 (.f64 b b) (.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)))
	15.8%	(/.f64 (/.f64 (-.f64 (.f64 (/.f64 #s(literal -2 binary64) (/.f64 a b)) (/.f64 #s(literal -2 binary64) (/.f64 a b))) (.f64 (/.f64 (/.f64 b a) (/.f64 b (/.f64 #s(literal 2 binary64) (/.f64 b (.f64 a c))))) (/.f64 (/.f64 b a) (/.f64 b (/.f64 #s(literal 2 binary64) (/.f64 b (.f64 a c))))))) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (.f64 (/.f64 b (.f64 a c)) b))) (/.f64 a b))) #s(literal 2 binary64))
	9.5%	(/.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 1 binary64) c))
	27.0%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 c b) (/.f64 b a)) c))
	30.8%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 a b) (/.f64 b c)) a))
	25.5%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (.f64 c (+.f64 (/.f64 #s(literal 1 binary64) b) (.f64 c (/.f64 a (.f64 b (.f64 b b)))))) (/.f64 b a)) c))
✓	51.0%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
	36.5%	(/.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal -1 binary64) b))
	30.9%	(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) a)) a)
	50.7%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))))) b) (.f64 a #s(literal 2 binary64)))
	20.5%	(/.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a))) #s(literal 2 binary64)) a) (.f64 a (/.f64 b #s(literal 2 binary64)))) (*.f64 a a))
	16.0%	(/.f64 (-.f64 (.f64 (sqrt.f64 (.f64 c #s(literal -4 binary64))) (sqrt.f64 a)) b) (*.f64 a #s(literal 2 binary64)))
✓	27.3%	(/.f64 (-.f64 (sqrt.f64 (.f64 b b)) b) (.f64 a #s(literal 2 binary64)))
✓	31.6%	(/.f64 (-.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a))) b) (*.f64 a #s(literal 2 binary64)))
	24.0%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 b a)) (.f64 a a))
✓	36.2%	(/.f64 (.f64 (/.f64 b a) (+.f64 #s(literal -2 binary64) (/.f64 (.f64 (/.f64 (*.f64 a c) b) #s(literal 2 binary64)) b))) #s(literal 2 binary64))
	30.1%	(/.f64 (.f64 (-.f64 (.f64 a (.f64 c #s(literal -4 binary64))) (.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) (+.f64 b (sqrt.f64 (.f64 a (.f64 c #s(literal -4 binary64))))))
	20.7%	(/.f64 (.f64 (-.f64 (.f64 a c) (.f64 b b)) c) (.f64 b (*.f64 a c)))
	30.3%	(/.f64 (.f64 a (.f64 (/.f64 c b) #s(literal -2 binary64))) (*.f64 a #s(literal 2 binary64)))
✓	9.5%	(/.f64 c b)
	12.1%	(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (.f64 a (.f64 a a))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 a a) (.f64 #s(literal 0 binary64) a)))))
	19.3%	(/.f64 b (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)))
✓	36.7%	(/.f64 b (neg.f64 a))
	2.5%	(/.f64 b a)
	30.9%	(/.f64 #s(literal 1 binary64) (/.f64 a (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)) a))))
	30.8%	(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 a (.f64 c (.f64 a #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) b)))
	34.1%	(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 b #s(literal -1/2 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 c a)) b)) c))
	34.4%	(/.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 b #s(literal -1/2 binary64)) c))
	29.7%	(/.f64 #s(literal 1/2 binary64) (/.f64 (.f64 a (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (.f64 a #s(literal 1/2 binary64)) b))) a))
✓	51.1%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c #s(literal -4 binary64))))) b)))
	31.6%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a))) b)))
	26.8%	(/.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 (.f64 c #s(literal -2 binary64)) (/.f64 a b))))
	19.9%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (/.f64 (+.f64 (.f64 (.f64 b #s(literal -1/2 binary64)) b) (.f64 c (.f64 a #s(literal 1/2 binary64)))) (.f64 c b)) a) a))
	14.2%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 b c) (/.f64 b c))) (/.f64 (/.f64 (.f64 a #s(literal 1/2 binary64)) b) (/.f64 b (.f64 a #s(literal 1/2 binary64))))) (.f64 a (-.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (*.f64 a #s(literal 1/2 binary64)) b)))) a))
	27.0%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 b a)) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b)) c) a))
	30.4%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 b (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 a (.f64 b b))) (/.f64 #s(literal -1/2 binary64) c))) a) a))
	30.3%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 b c)) a) a))
	31.5%	(/.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (*.f64 c a))) b)) a))
	2.5%	(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) b) a))
	36.5%	(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) b) a))
	34.9%	(/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (.f64 a #s(literal 1/2 binary64)) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) a)))
	34.5%	(/.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) c))))
	36.5%	(-.f64 (/.f64 c b) (/.f64 b a))
	34.5%	(-.f64 #s(literal 0 binary64) (/.f64 c b))
	38.5%	(+.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b) (.f64 a #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) a) b (/.f64 b (*.f64 a #s(literal 2 binary64)))))
	9.5%	(*.f64 (/.f64 #s(literal 1 binary64) b) c)
	31.6%	(.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (.f64 a (*.f64 c #s(literal -4 binary64)))) b))
	36.5%	(*.f64 (/.f64 #s(literal -1 binary64) a) b)
	17.5%	(.f64 c (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 b b)) (/.f64 (/.f64 b (.f64 a c)) (/.f64 (.f64 a c) b))) (+.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 b (*.f64 a c)))))
	18.0%	(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 0 binary64) a) b)) #s(literal -1 binary64)))
✓	9.8%	#s(literal 0 binary64)

Compiler

Compiled 2787 to 948 computations (66% saved)

regimes125.0ms (0.9%)

Counts

84 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

4 calls:

40.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))
24.0ms	c
23.0ms	a
23.0ms	b

Results

Accuracy	Segments	Branch
58.4%	4	`a`
87.0%	3	`b`
53.6%	2	`c`
76.2%	5	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`

Compiler

Compiled 32 to 23 computations (28.1% saved)

regimes38.0ms (0.3%)

Counts

67 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
87.0%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes60.0ms (0.5%)

Counts

66 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

53.0ms

Results

Accuracy	Segments	Branch
86.9%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes29.0ms (0.2%)

Counts

64 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
81.7%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes25.0ms (0.2%)

Counts

61 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
81.7%	3	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes425.0ms (3.2%)

Counts

59 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

421.0ms

Results

Accuracy	Segments	Branch
68.8%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes30.0ms (0.2%)

Counts

39 → 2

Calls

Call 1

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

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

Calls

1 calls:

27.0ms

Results

Accuracy	Segments	Branch
68.8%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Counts

23 → 2

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
68.7%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes18.0ms (0.1%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
68.6%	2	`b`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	b
3.0ms	a
3.0ms	c

Results

Accuracy	Segments	Branch
36.7%	1	`c`
36.7%	1	`a`
43.7%	2	`b`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Accuracy

Total -5.3b remaining (-9.2%)

Threshold costs -5.3b (-9.2%)

Counts

3 → 1

Calls

Call 1

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

Outputs
#s(literal 0 binary64)

Calls

3 calls:

2.0ms	b
2.0ms	a
2.0ms	c

Results

Accuracy	Segments	Branch
9.8%	1	`a`
9.8%	1	`c`
9.8%	1	`b`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch70.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
33.0ms	2.6965156003132692e-77	8.528296352239277e-76
20.0ms	-1.6193178822531966e+95	-5.590887793872695e+86

Results

29.0ms	220×	0	valid
5.0ms	16×	2	valid
4.0ms	20×	1	valid
4.0ms	46×	0	invalid

Compiler

Compiled 579 to 409 computations (29.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 9.0ms (40.6% of total)

ival-div: 3.0ms (13.5% of total)

ival-sqrt: 3.0ms (13.5% of total)

ival-sub: 2.0ms (9% of total)

ival-neg: 2.0ms (9% of total)

ival-add: 2.0ms (9% of total)

backward-pass: 1.0ms (4.5% of total)

const: 1.0ms (4.5% of total)

bsearch47.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	2.6965156003132692e-77	8.528296352239277e-76
15.0ms	-2.5206477135638875e+77	-1.1007978414981345e+77

Results

18.0ms	149×	0	valid
7.0ms	28×	1	valid
5.0ms	15×	2	valid
3.0ms	30×	0	invalid

Compiler

Compiled 467 to 329 computations (29.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 11.0ms (49.3% of total)

ival-div: 2.0ms (9% of total)

ival-sqrt: 2.0ms (9% of total)

ival-neg: 2.0ms (9% of total)

ival-add: 2.0ms (9% of total)

const: 1.0ms (4.5% of total)

ival-sub: 1.0ms (4.5% of total)

backward-pass: 1.0ms (4.5% of total)

bsearch46.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	2.6965156003132692e-77	8.528296352239277e-76
12.0ms	-2.5206477135638875e+77	-1.1007978414981345e+77

Results

17.0ms	155×	0	valid
8.0ms	12×	2	valid
5.0ms	25×	1	valid
3.0ms	34×	0	invalid

Compiler

Compiled 467 to 329 computations (29.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-sqrt: 7.0ms (31.9% of total)

ival-mult: 7.0ms (31.9% of total)

ival-div: 2.0ms (9.1% of total)

ival-neg: 2.0ms (9.1% of total)

const: 1.0ms (4.6% of total)

ival-sub: 1.0ms (4.6% of total)

backward-pass: 1.0ms (4.6% of total)

ival-add: 1.0ms (4.6% of total)

bsearch71.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	7.429131389289166e-133	9.610928994634176e-131
28.0ms	-5.974568926358241e+24	-1.5624113143293002e-12

Results

28.0ms	255×	0	valid
6.0ms	26×	1	valid
5.0ms	49×	0	invalid
2.0ms	7×	2	valid

Compiler

Compiled 596 to 424 computations (28.9% saved)

Precisions

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

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

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

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

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

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

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

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

const: 1.0ms (4% of total)

bsearch88.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
31.0ms	7.429131389289166e-133	9.610928994634176e-131
51.0ms	-5.974568926358241e+24	-1.5624113143293002e-12

Results

56.0ms	264×	0	valid
8.0ms	80×	0	invalid
3.0ms	16×	1	valid
2.0ms	8×	2	valid

Compiler

Compiled 596 to 424 computations (28.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 36.0ms (72.2% of total)

ival-div: 3.0ms (6% of total)

ival-sqrt: 3.0ms (6% of total)

ival-sub: 2.0ms (4% of total)

ival-neg: 2.0ms (4% of total)

ival-add: 2.0ms (4% of total)

backward-pass: 1.0ms (2% of total)

const: 1.0ms (2% of total)

bsearch34.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	-1.800952789831713e-299	-6.267136093275116e-301

Results

13.0ms	112×	0	valid
7.0ms	74×	0	invalid

Compiler

Compiled 264 to 180 computations (31.8% saved)

Precisions

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

ival-mult: 5.0ms (38.2% of total)

ival-sqrt: 3.0ms (22.9% of total)

ival-sub: 1.0ms (7.6% of total)

ival-div: 1.0ms (7.6% of total)

ival-add: 1.0ms (7.6% of total)

ival-neg: 1.0ms (7.6% of total)

const: 0.0ms (0% of total)

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

bsearch29.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	-1.800952789831713e-299	-6.267136093275116e-301

Results

14.0ms	112×	0	valid
7.0ms	67×	0	invalid

Compiler

Compiled 222 to 152 computations (31.5% saved)

Precisions

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

ival-mult: 5.0ms (46.8% of total)

ival-sub: 1.0ms (9.4% of total)

ival-div: 1.0ms (9.4% of total)

ival-add: 1.0ms (9.4% of total)

ival-sqrt: 1.0ms (9.4% of total)

ival-neg: 1.0ms (9.4% of total)

const: 0.0ms (0% of total)

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

bsearch36.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
32.0ms	-3.307109634800875e-304	1.5524461520450378e-304

Results

14.0ms	144×	0	valid
8.0ms	72×	0	invalid

Compiler

Compiled 206 to 145 computations (29.6% saved)

Precisions

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

ival-mult: 6.0ms (46.2% of total)

ival-div: 2.0ms (15.4% of total)

ival-sqrt: 2.0ms (15.4% of total)

ival-sub: 1.0ms (7.7% of total)

ival-add: 1.0ms (7.7% of total)

ival-neg: 1.0ms (7.7% of total)

const: 0.0ms (0% of total)

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

bsearch44.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
40.0ms	1.2604462462772905e-285	6.219550303341454e-264

Results

20.0ms	175×	0	valid
12.0ms	107×	0	invalid
0.0ms	1×	1	valid

Compiler

Compiled 213 to 162 computations (23.9% saved)

Precisions

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

ival-mult: 7.0ms (39.1% of total)

ival-div: 2.0ms (11.2% of total)

ival-add: 2.0ms (11.2% of total)

ival-sub: 2.0ms (11.2% of total)

ival-sqrt: 2.0ms (11.2% of total)

const: 1.0ms (5.6% of total)

ival-neg: 1.0ms (5.6% of total)

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

bsearch41.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
39.0ms	-2.458280296485834e-303	-3.307109634800875e-304

Results

29.0ms	96×	0	valid
5.0ms	54×	0	invalid

Compiler

Compiled 104 to 85 computations (18.3% saved)

Precisions

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

ival-mult: 4.0ms (45.8% of total)

ival-sub: 1.0ms (11.4% of total)

ival-div: 1.0ms (11.4% of total)

ival-add: 1.0ms (11.4% of total)

ival-sqrt: 1.0ms (11.4% of total)

ival-neg: 1.0ms (11.4% of total)

const: 0.0ms (0% of total)

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

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	324
1	115	324
2	130	324
3	138	324
4	142	324
5	143	324

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 b #s(literal -71999999999999998491481812679933580334061719049023316318208326206577848949753679671250124800000 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 4562960586989249/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016 binary64)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b) (.f64 a #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (.f64 a #s(literal 1/2 binary64)) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) a)))))
(if (<=.f64 b #s(literal -250000000000000002123405358422425744037217481149690153973749775675699226476544 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 3096294684028419/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b))) (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (.f64 a #s(literal 1/2 binary64)) b)) (.f64 (/.f64 #s(literal 1 binary64) a) a)))))
(if (<=.f64 b #s(literal -250000000000000002123405358422425744037217481149690153973749775675699226476544 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 165509173077177/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b)) (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (.f64 a #s(literal 1/2 binary64)) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) a)))))
(if (<=.f64 b #s(literal -4842270319348757/1152921504606846976 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 6553174556823331/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a))) b))) (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (.f64 a #s(literal 1/2 binary64)) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) a)))))
(if (<=.f64 b #s(literal -5996272065288561/19342813113834066795298816 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 1186264449120077/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a))) b)) (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (.f64 a #s(literal 1/2 binary64)) b)) (.f64 (/.f64 #s(literal 1 binary64) a) a)))))
(if (<=.f64 b #s(literal -1930258305619341/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (.f64 a #s(literal 1/2 binary64)) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) a))))
(if (<=.f64 b #s(literal -1930258305619341/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) c) (/.f64 (.f64 a #s(literal 1/2 binary64)) b))))
(if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(if (<=.f64 b #s(literal 6857655085992111/5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688 binary64)) (/.f64 b (neg.f64 a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(if (<=.f64 b #s(literal -8276947614495735/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 binary64)) (/.f64 b (neg.f64 a)) #s(literal 0 binary64))
#s(literal 0 binary64)

Outputs
(if (<=.f64 b #s(literal -71999999999999998491481812679933580334061719049023316318208326206577848949753679671250124800000 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 4562960586989249/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016 binary64)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b) (.f64 a #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (.f64 a #s(literal 1/2 binary64)) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) a)))))
(if (<=.f64 b #s(literal -71999999999999998491481812679933580334061719049023316318208326206577848949753679671250124800000 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (if (<=.f64 b #s(literal 4562960586989249/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016 binary64)) (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b) (.f64 a #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (.f64 a #s(literal 1/2 binary64)) b)) (*.f64 a (/.f64 #s(literal 1 binary64) a))))))
(if (<=.f64 b #s(literal -250000000000000002123405358422425744037217481149690153973749775675699226476544 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 3096294684028419/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b))) (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (.f64 a #s(literal 1/2 binary64)) b)) (.f64 (/.f64 #s(literal 1 binary64) a) a)))))
(if (<=.f64 b #s(literal -250000000000000002123405358422425744037217481149690153973749775675699226476544 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (if (<=.f64 b #s(literal 3096294684028419/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b))) (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (.f64 a #s(literal 1/2 binary64)) b)) (.f64 a (/.f64 #s(literal 1 binary64) a))))))
(if (<=.f64 b #s(literal -250000000000000002123405358422425744037217481149690153973749775675699226476544 binary64)) (/.f64 b (neg.f64 a)) (if (<=.f64 b #s(literal 165509173077177/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b)) (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (.f64 a #s(literal 1/2 binary64)) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) a)))))
(if (<=.f64 b #s(literal -250000000000000002123405358422425744037217481149690153973749775675699226476544 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (if (<=.f64 b #s(literal 165509173077177/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c #s(literal -4 binary64))))) b) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (.f64 a #s(literal 1/2 binary64)) b)) (*.f64 a (/.f64 #s(literal 1 binary64) a))))))
(if (<=.f64 b #s(literal -4842270319348757/1152921504606846976 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 6553174556823331/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a))) b))) (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (.f64 a #s(literal 1/2 binary64)) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) a)))))
(if (<=.f64 b #s(literal -4842270319348757/1152921504606846976 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 6553174556823331/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 a c))) b))) (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (.f64 a #s(literal 1/2 binary64)) b)) (*.f64 a (/.f64 #s(literal 1 binary64) a))))))
(if (<=.f64 b #s(literal -5996272065288561/19342813113834066795298816 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 1186264449120077/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 c a))) b)) (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (.f64 a #s(literal 1/2 binary64)) b)) (.f64 (/.f64 #s(literal 1 binary64) a) a)))))
(if (<=.f64 b #s(literal -5996272065288561/19342813113834066795298816 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (if (<=.f64 b #s(literal 1186264449120077/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 a c))) b)) (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (.f64 a #s(literal 1/2 binary64)) b)) (.f64 a (/.f64 #s(literal 1 binary64) a))))))
(if (<=.f64 b #s(literal -1930258305619341/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (.f64 a #s(literal 1/2 binary64)) b)) (*.f64 (/.f64 #s(literal 1 binary64) a) a))))
(if (<=.f64 b #s(literal -1930258305619341/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 c b)) (/.f64 (.f64 a #s(literal 1/2 binary64)) b)) (*.f64 a (/.f64 #s(literal 1 binary64) a)))))
(if (<=.f64 b #s(literal -1930258305619341/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 b #s(literal -1/2 binary64)) c) (/.f64 (.f64 a #s(literal 1/2 binary64)) b))))
(if (<=.f64 b #s(literal -1930258305619341/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 a #s(literal 1/2 binary64)) b) (/.f64 (.f64 b #s(literal -1/2 binary64)) c))))
(if (<=.f64 b #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (-.f64 (/.f64 c b) (/.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(if (<=.f64 b #s(literal 6857655085992111/5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688 binary64)) (/.f64 b (neg.f64 a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(if (<=.f64 b #s(literal 6857655085992111/5357543035931336604742125245300009052807024058527668037218751941851755255624680612465991894078479290637973364587765734125935726428461570217992288787349287401967283887412115492710537302531185570938977091076523237491790970633699383779582771973038531457285598238843271083830214915826312193418602834034688 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) (-.f64 #s(literal 0 binary64) (/.f64 c b)))
(if (<=.f64 b #s(literal -8276947614495735/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 binary64)) (/.f64 b (neg.f64 a)) #s(literal 0 binary64))
(if (<=.f64 b #s(literal -8276947614495735/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 b a)) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness2.6s (19.9%)

Rules

7118×	`-lowering-.f32`
7118×	`-lowering-.f64`
6932×	`-lowering-.f32`
6932×	`-lowering-.f64`
5864×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	169
1	210	164
0	1763	164
0	37	215
1	240	191
2	2000	185
0	8324	185
0	13	43
1	63	39
2	539	39
3	7590	39
0	8088	39
0	543	3071
1	1886	2859
2	7132	2847
0	8001	2847
0	1205	10447
1	4504	9703
0	8748	9703
0	1105	9065
1	4005	8445
0	9079	8445
0	14	16
1	34	15
2	73	14
3	172	14
4	296	14
5	528	14
6	1046	14
7	2242	14
8	5182	14
9	7757	14
0	8173	14

Stop Event

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

Compiler

Compiled 1309 to 779 computations (40.5% saved)

preprocess95.0ms (0.7%)

Compiler: Compiled 708 to 200 computations (71.8% saved)

analyze207.0ms (1.6%)

sample2.1s (16.2%)

preprocess180.0ms (1.4%)

explain245.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify126.0ms (1%)

localize101.0ms (0.8%)

series22.0ms (0.2%)

rewrite369.0ms (2.8%)

simplify276.0ms (2.1%)

eval93.0ms (0.7%)

prune96.0ms (0.7%)

simplify190.0ms (1.4%)

localize381.0ms (2.9%)

series95.0ms (0.7%)

rewrite417.0ms (3.1%)

simplify419.0ms (3.2%)

eval263.0ms (2%)

prune492.0ms (3.7%)

simplify230.0ms (1.7%)

localize259.0ms (1.9%)

series40.0ms (0.3%)

rewrite323.0ms (2.4%)

simplify489.0ms (3.7%)

eval199.0ms (1.5%)

prune163.0ms (1.2%)

simplify213.0ms (1.6%)

localize272.0ms (2%)

series76.0ms (0.6%)

rewrite118.0ms (0.9%)

simplify413.0ms (3.1%)

eval143.0ms (1.1%)

prune186.0ms (1.4%)

regimes125.0ms (0.9%)

regimes38.0ms (0.3%)

regimes60.0ms (0.5%)

regimes29.0ms (0.2%)

regimes25.0ms (0.2%)

regimes425.0ms (3.2%)

regimes30.0ms (0.2%)

regimes8.0ms (0.1%)

regimes18.0ms (0.1%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch70.0ms (0.5%)

bsearch47.0ms (0.4%)

bsearch46.0ms (0.3%)

bsearch71.0ms (0.5%)

bsearch88.0ms (0.7%)

bsearch34.0ms (0.3%)

bsearch29.0ms (0.2%)

bsearch36.0ms (0.3%)

bsearch44.0ms (0.3%)

bsearch41.0ms (0.3%)

simplify15.0ms (0.1%)

soundness2.6s (19.9%)

preprocess95.0ms (0.7%)

end0.0ms (0%)

Profiling