Metrics for Octave 3.8, jcobi/1

analyze3.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	56.2%	43.8%	0%	0%	0%	0
0%	0%	56.2%	43.8%	0%	0%	0%	1
50%	28.1%	28.1%	43.8%	0%	0%	0%	2
75%	42.1%	14%	43.8%	0%	0%	0%	3
87.5%	49.2%	7%	43.8%	0%	0%	0%	4
93.8%	52.7%	3.5%	43.8%	0%	0%	0%	5
96.9%	54.4%	1.8%	43.8%	0%	0%	0%	6
98.4%	55.3%	0.9%	43.8%	0%	0%	0%	7
99.2%	55.7%	0.4%	43.8%	0%	0%	0%	8
99.6%	56%	0.2%	43.8%	0%	0%	0%	9
99.8%	56.1%	0.1%	43.8%	0%	0%	0%	10
99.9%	56.1%	0.1%	43.8%	0%	0%	0%	11
100%	56.1%	0%	43.8%	0%	0%	0%	12

Compiler

Compiled 22 to 14 computations (36.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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

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

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

const: 0.0ms (0% of total)

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

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

sample1.6s (14.9%)

Results

738.0ms	6046×	0	valid
395.0ms	1843×	1	valid
100.0ms	367×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 866.0ms

ival-add: 244.0ms (28.2% of total)

ival->: 214.0ms (24.7% of total)

ival-div: 194.0ms (22.4% of total)

ival-sub: 115.0ms (13.3% of total)

backward-pass: 70.0ms (8.1% of total)

const: 18.0ms (2.1% of total)

ival-and: 11.0ms (1.3% of total)

Bogosity

preprocess232.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

1988×	`sum3-define`
1844×	`sum5-define`
1648×	`fmsub-define`
1634×	`sum5-define`
1506×	`fmm-def`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	32	80
1	91	78
2	202	78
3	608	76
4	1764	76
5	5483	76
0	10	12
1	23	12
2	41	12
3	74	12
4	142	12
5	355	12
6	943	12
7	1782	11
8	3813	11
9	7625	11
0	8029	11

Stop Event

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

Calls

Call 1

Inputs
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)

Outputs
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
(+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)))

Call 2

Inputs
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
(/ (+ (/ (- beta (neg alpha)) (+ (+ (neg alpha) beta) 2)) 1) 2)
(/ (+ (/ (- (neg beta) alpha) (+ (+ alpha (neg beta)) 2)) 1) 2)
(neg (/ (+ (/ (- beta (neg alpha)) (+ (+ (neg alpha) beta) 2)) 1) 2))
(neg (/ (+ (/ (- (neg beta) alpha) (+ (+ alpha (neg beta)) 2)) 1) 2))
(/ (+ (/ (- alpha beta) (+ (+ beta alpha) 2)) 1) 2)

Outputs
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
(/ (+ (/ (- beta alpha) (sum3 beta alpha 2)) 1) 2)
(/ (+ (/ (- beta (neg alpha)) (+ (+ (neg alpha) beta) 2)) 1) 2)
(+ (/ (+ beta alpha) (* 2 (sum3 beta 2 (neg alpha)))) 1/2)
(/ (+ (/ (- (neg beta) alpha) (+ (+ alpha (neg beta)) 2)) 1) 2)
(+ (/ (+ beta alpha) (+ -4 (* 2 (- beta alpha)))) 1/2)
(neg (/ (+ (/ (- beta (neg alpha)) (+ (+ (neg alpha) beta) 2)) 1) 2))
(+ -1/2 (/ (+ beta alpha) (* 2 (sum3 alpha (neg beta) -2))))
(neg (/ (+ (/ (- (neg beta) alpha) (+ (+ alpha (neg beta)) 2)) 1) 2))
(+ -1/2 (/ (+ beta alpha) (+ 4 (* 2 (- alpha beta)))))
(/ (+ (/ (- alpha beta) (+ (+ beta alpha) 2)) 1) 2)
(+ (/ (/ (- alpha beta) (sum3 beta alpha 2)) 2) 1/2)

explain116.0ms (1.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
70	-	-	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
0	-	-	`(-.f64 beta alpha)`
0	-	-	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))`
0	-	-	`alpha`
0	-	-	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(+.f64 alpha beta)`
0	-	-	`beta`

Results

39.0ms	378×	0	valid
21.0ms	112×	1	valid
6.0ms	22×	2	valid

Compiler

Compiled 117 to 32 computations (72.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-add: 10.0ms (34.8% of total)

ival-div: 9.0ms (31.3% of total)

ival-sub: 5.0ms (17.4% of total)

backward-pass: 4.0ms (13.9% of total)

const: 1.0ms (3.5% of total)

eval0.0ms (0%)

Compiler: Compiled 15 to 11 computations (26.7% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.2%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify136.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(-.f64 beta alpha)
✓	cost-diff	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
✓	cost-diff	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
✓	cost-diff	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Rules

1844×	`sum5-define`
1648×	`fmsub-define`
1506×	`fmm-def`
1298×	`fma-lowering-fma.f32`
1298×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	23	44
2	41	44
3	74	44
4	142	44
5	355	44
6	943	44
7	1782	43
8	3813	43
9	7625	43
0	8029	43

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
(+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1)
(/ (- beta alpha) (+ (+ alpha beta) 2))
(- beta alpha)
beta
alpha
(+ (+ alpha beta) 2)
(+ alpha beta)
2
1

Outputs
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
(+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)))
(+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1)
(+.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1 binary64))
(/ (- beta alpha) (+ (+ alpha beta) 2))
(/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta))
(- beta alpha)
(-.f64 beta alpha)
beta
alpha
(+ (+ alpha beta) 2)
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(+ alpha beta)
(+.f64 beta alpha)
2
#s(literal 2 binary64)
1
#s(literal 1 binary64)

localize85.0ms (0.8%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 alpha beta)
✓	accuracy	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
✓	accuracy	75.2%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

37.0ms	11×	2	valid
18.0ms	56×	1	valid
16.0ms	189×	0	valid

Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions

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

ival-div: 5.0ms (35.4% of total)

ival-add: 5.0ms (35.4% of total)

ival-sub: 2.0ms (14.2% of total)

backward-pass: 2.0ms (14.2% of total)

const: 1.0ms (7.1% of total)

series12.0ms (0.1%)

Counts

6 → 144

Calls

Call 1

Inputs
#<alt (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)>
#<alt (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1)>
#<alt (/ (- beta alpha) (+ (+ alpha beta) 2))>
#<alt (- beta alpha)>
#<alt (+ alpha beta)>
#<alt (+ (+ alpha beta) 2)>

Outputs
#<alt (* 1/2 (- 1 (/ alpha (+ 2 alpha))))>
#<alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))>
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))>
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))>
#<alt (* 1/2 (+ 1 (/ beta (+ 2 beta))))>
#<alt (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))>
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))>
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)>
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (- 1 (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))>
#<alt (- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))>
#<alt 2>
#<alt (- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))>
#<alt (+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))>
#<alt (+ 1 (/ beta (+ 2 beta)))>
#<alt (+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (/ (+ 2 (* 2 beta)) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)>
#<alt (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ alpha (+ 2 alpha)))>
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))>
#<alt (/ beta (+ 2 beta))>
#<alt (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))>
#<alt (+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))>
#<alt (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))>
#<alt -1>
#<alt (- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))>
#<alt (- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))>
#<alt (- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)>
#<alt (* -1 alpha)>
#<alt (- beta alpha)>
#<alt (- beta alpha)>
#<alt (- beta alpha)>
#<alt beta>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt (* -1 (* beta (- (/ alpha beta) 1)))>
#<alt beta>
#<alt (+ beta (* -1 alpha))>
#<alt (+ beta (* -1 alpha))>
#<alt (+ beta (* -1 alpha))>
#<alt (* -1 alpha)>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* alpha (- (/ beta alpha) 1))>
#<alt (* -1 alpha)>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))>
#<alt beta>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt alpha>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt (* alpha (+ 1 (/ beta alpha)))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))>
#<alt alpha>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt (+ alpha beta)>
#<alt beta>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt (* beta (+ 1 (/ alpha beta)))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))>
#<alt (+ 2 beta)>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt alpha>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt alpha>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))>
#<alt (+ 2 alpha)>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt (+ 2 (+ alpha beta))>
#<alt beta>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt beta>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))>

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	alpha	@	-inf	(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
1.0ms	beta	@	0	(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
1.0ms	alpha	@	inf	(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
1.0ms	alpha	@	0	(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
1.0ms	beta	@	inf	(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)

rewrite338.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4144×	`/-lowering-/.f32`
4144×	`/-lowering-/.f64`
3890×	`-lowering-.f32`
3890×	`-lowering-.f64`
1972×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	86	40
2	776	40
0	8515	40

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 337

Calls

Call 1

Inputs
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)
(+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1)
(/ (- beta alpha) (+ (+ alpha beta) 2))
(- beta alpha)
(+ alpha beta)
(+ (+ alpha beta) 2)

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -2 binary64)))
(-.f64 (/.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64)) (/.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (-.f64 beta alpha) (.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (+.f64 (/.f64 (-.f64 beta alpha) (.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (.f64 (+.f64 (/.f64 (-.f64 beta alpha) (.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))))) (neg.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (neg.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))) #s(literal 1/2 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(/.f64 (.f64 (+.f64 (/.f64 (-.f64 beta alpha) (.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(/.f64 (neg.f64 (.f64 (+.f64 (/.f64 (-.f64 beta alpha) (.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1/2 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))
(.f64 (+.f64 (/.f64 (-.f64 beta alpha) (.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(.f64 (.f64 (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (/.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))
(fma.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (+.f64 (-.f64 #s(literal 0 binary64) beta) alpha) (/.f64 #s(literal -1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64))
(fma.f64 (/.f64 beta (+.f64 (.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 #s(literal 4 binary64) (.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(fma.f64 (/.f64 beta (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 #s(literal 4 binary64) (.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) #s(literal 1 binary64))
(neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))))))
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(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 alpha (.f64 alpha alpha)) (.f64 beta (.f64 beta beta)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 alpha alpha) (*.f64 beta (-.f64 beta alpha))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 alpha alpha) (*.f64 beta beta))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 alpha beta))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 beta alpha)) (/.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 beta alpha))))
(.f64 (/.f64 (+.f64 beta alpha) (-.f64 (.f64 beta (.f64 beta beta)) (.f64 alpha (.f64 alpha alpha)))) (/.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 beta beta) (*.f64 alpha (+.f64 beta alpha))))))
(.f64 (/.f64 (+.f64 beta alpha) (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (+.f64 (.f64 alpha (.f64 alpha alpha)) (.f64 beta (.f64 beta beta))))) (/.f64 (-.f64 beta alpha) (+.f64 (.f64 alpha alpha) (*.f64 beta (-.f64 beta alpha)))))
(.f64 (/.f64 (+.f64 beta alpha) (/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (-.f64 (.f64 alpha alpha) (*.f64 beta beta)))) (/.f64 (-.f64 beta alpha) (-.f64 alpha beta)))
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(+.f64 alpha (+.f64 beta #s(literal 2 binary64)))
(+.f64 (+.f64 beta alpha) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (+.f64 beta alpha))
(+.f64 (+.f64 beta #s(literal 2 binary64)) alpha)
(+.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (neg.f64 (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))))
(+.f64 (+.f64 #s(literal 2 binary64) alpha) beta)
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(-.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 alpha alpha) (-.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (-.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(fma.f64 (+.f64 (.f64 alpha (.f64 alpha alpha)) (.f64 beta (.f64 beta beta))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 alpha alpha) (.f64 beta (-.f64 beta alpha)))) #s(literal 2 binary64))
(fma.f64 (-.f64 (.f64 alpha alpha) (.f64 beta beta)) (/.f64 #s(literal 1 binary64) (-.f64 alpha beta)) #s(literal 2 binary64))
(neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) (+.f64 (.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 alpha alpha) (-.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (+.f64 (.f64 alpha (.f64 alpha alpha)) (.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))))
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64))
(/.f64 (+.f64 (.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64)) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 #s(literal 4 binary64) (.f64 (+.f64 beta alpha) #s(literal -2 binary64)))))
(/.f64 (+.f64 (.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 beta alpha) #s(literal -2 binary64)))))
(/.f64 (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 #s(literal 4 binary64) (.f64 (+.f64 beta alpha) #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (.f64 (+.f64 beta alpha) #s(literal -2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))))
(/.f64 (+.f64 (.f64 alpha (.f64 alpha alpha)) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (+.f64 (.f64 alpha alpha) (-.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 beta #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (-.f64 alpha (+.f64 beta #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) #s(literal 4 binary64))) (.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 #s(literal 4 binary64) (.f64 (+.f64 beta alpha) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))))
(/.f64 (neg.f64 (+.f64 (.f64 alpha (.f64 alpha alpha)) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) (neg.f64 (+.f64 (.f64 alpha alpha) (-.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (neg.f64 (-.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(/.f64 (+.f64 (.f64 beta (.f64 beta beta)) (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 beta beta) (-.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(/.f64 (+.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (.f64 alpha (.f64 alpha alpha))) (+.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (-.f64 (.f64 alpha alpha) (*.f64 (+.f64 beta #s(literal 2 binary64)) alpha))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (.f64 beta (.f64 beta beta))) (+.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 (.f64 beta beta) (*.f64 (+.f64 #s(literal 2 binary64) alpha) beta))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (/.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))) (+.f64 (.f64 (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))) (.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))))))
(/.f64 (-.f64 (.f64 beta beta) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (.f64 alpha alpha)) (-.f64 (+.f64 beta #s(literal 2 binary64)) alpha))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (.f64 beta beta)) (-.f64 (+.f64 #s(literal 2 binary64) alpha) beta))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (/.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))) (.f64 (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))))) (+.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(.f64 (+.f64 (.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))))))
(.f64 (+.f64 (.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))))))
(.f64 (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (+.f64 beta alpha) (.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))))
(.f64 (+.f64 (.f64 alpha (.f64 alpha alpha)) (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 alpha alpha) (-.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))
(.f64 (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 alpha (+.f64 beta #s(literal 2 binary64)))))
(.f64 (-.f64 #s(literal 4 binary64) (.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha))))

simplify299.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

2810×	`+-lowering-+.f64`
2810×	`+-lowering-+.f32`
2660×	`-lowering-.f32`
2660×	`-lowering-.f64`
1798×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	433	2427
1	1518	2236
2	5628	2187
0	8142	2187

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(- 1 (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
2
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(/ (+ 2 (* 2 beta)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ alpha (+ 2 alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
1
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))
1
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(/ beta (+ 2 beta))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
-1
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
-1
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)
(* -1 alpha)
(- beta alpha)
(- beta alpha)
(- beta alpha)
beta
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
(* beta (+ 1 (* -1 (/ alpha beta))))
beta
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
(* -1 (* beta (- (/ alpha beta) 1)))
beta
(+ beta (* -1 alpha))
(+ beta (* -1 alpha))
(+ beta (* -1 alpha))
(* -1 alpha)
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* alpha (- (/ beta alpha) 1))
(* -1 alpha)
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))
beta
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
alpha
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
(* alpha (+ 1 (/ beta alpha)))
alpha
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))
alpha
(+ alpha beta)
(+ alpha beta)
(+ alpha beta)
beta
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
(* beta (+ 1 (/ alpha beta)))
beta
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(* -1 (* beta (- (* -1 (/ alpha beta)) 1)))
(+ 2 beta)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(+ 2 alpha)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
beta
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))

Outputs
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (.f64 (.f64 #s(literal 1/2 binary64) beta) (+.f64 (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (.f64 beta (+.f64 (/.f64 (/.f64 alpha (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (.f64 beta (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) alpha) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) beta) (-.f64 (.f64 beta (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))))) (+.f64 (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 alpha #s(literal 2 binary64)))) beta))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 alpha #s(literal 2 binary64)))) beta)) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (.f64 beta beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 alpha #s(literal 2 binary64)))) beta) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (.f64 beta beta)) (/.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha))) (.f64 beta (.f64 beta beta)))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta)))) beta))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha)) (/.f64 (+.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha))) (.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta)))) beta)) beta))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha #s(literal -1/2 binary64))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (.f64 alpha (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) (.f64 #s(literal 1/2 binary64) (.f64 alpha (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 alpha (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) (.f64 alpha (+.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (.f64 alpha #s(literal -1/2 binary64))) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))))))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha alpha))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 alpha alpha)) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (.f64 (.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (.f64 alpha (.f64 alpha alpha)))))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha))) alpha)
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))))) alpha)) alpha)) (-.f64 #s(literal 0 binary64) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))))) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) (.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) alpha)) alpha)) alpha)) (-.f64 #s(literal 0 binary64) alpha))
(- 1 (/ alpha (+ 2 alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(+.f64 #s(literal 1 binary64) (-.f64 (.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(+.f64 (.f64 beta (+.f64 (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (.f64 beta (+.f64 (/.f64 (/.f64 alpha (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))))) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(+.f64 (.f64 beta (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (.f64 beta (-.f64 (.f64 beta (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))))) (+.f64 (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))))) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(+.f64 #s(literal 2 binary64) (-.f64 (/.f64 (+.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (.f64 beta beta)) (+.f64 (.f64 alpha (/.f64 #s(literal 2 binary64) beta)) (/.f64 #s(literal 2 binary64) beta))))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
(-.f64 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 (.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (.f64 beta (.f64 beta beta)))) (/.f64 (+.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (.f64 beta beta))) (+.f64 (.f64 alpha (/.f64 #s(literal 2 binary64) beta)) (+.f64 (/.f64 #s(literal 2 binary64) beta) (.f64 (/.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta beta)) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta)))))
2
#s(literal 2 binary64)
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+.f64 #s(literal 2 binary64) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta)) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha)) beta))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
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(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(*.f64 alpha (+.f64 (/.f64 beta alpha) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(*.f64 alpha (+.f64 (/.f64 beta alpha) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(*.f64 alpha (+.f64 (/.f64 beta alpha) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))))
(+ 2 alpha)
(+.f64 alpha #s(literal 2 binary64))
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
(+ 2 (+ alpha beta))
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta))
beta
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(*.f64 beta (+.f64 (/.f64 alpha beta) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(*.f64 beta (+.f64 (/.f64 alpha beta) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(*.f64 beta (+.f64 (/.f64 alpha beta) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta))))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta))))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta))))

eval62.0ms (0.6%)

Compiler: Compiled 15555 to 2038 computations (86.9% saved)

prune92.0ms (0.8%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	465	16	481
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	465	17	482

Accuracy

100.0%

Counts

482 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.5%	(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 beta alpha) (.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (/.f64 (-.f64 beta alpha) (.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (/.f64 (/.f64 (-.f64 beta alpha) (.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))) (.f64 (/.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))))) #s(literal 2 binary64))
▶	52.6%	(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
	75.2%	(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))) #s(literal 2 binary64))
▶	75.9%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
	26.0%	(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))))) alpha)) alpha)) (-.f64 #s(literal 0 binary64) alpha))
	25.2%	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64))
▶	54.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓	75.2%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	73.0%	(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
	25.9%	(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha alpha))))) alpha)
▶	24.3%	(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 alpha alpha)) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (.f64 (.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (.f64 alpha (.f64 alpha alpha)))))))) alpha)
	27.5%	(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))) alpha)
	28.9%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
	75.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
	28.8%	(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
	75.2%	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
▶	33.7%	#s(literal 1 binary64)

Compiler

Compiled 1159 to 460 computations (60.3% saved)

simplify195.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	512	(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 alpha alpha)) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (.f64 (.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (.f64 alpha (.f64 alpha alpha))))))
✓	cost-diff	512	(+.f64 beta (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 alpha alpha)) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (.f64 (.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (.f64 alpha (.f64 alpha alpha)))))))
✓	cost-diff	512	(+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 alpha alpha)) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (.f64 (.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (.f64 alpha (.f64 alpha alpha))))))))
✓	cost-diff	512	(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 alpha alpha)) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (.f64 (.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (.f64 alpha (.f64 alpha alpha)))))))) alpha)
✓	cost-diff	0	(/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
✓	cost-diff	0	(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
✓	cost-diff	0	(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 alpha #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓	cost-diff	384	(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
✓	cost-diff	384	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))

Rules

3894×	`+-lowering-+.f64`
3894×	`+-lowering-+.f32`
2482×	`-lowering-.f32`
2482×	`-lowering-.f64`
2034×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	750
1	154	681
2	571	659
3	2637	612
0	8456	612

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1)) 2)
(- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1))
(/ beta (+ beta (+ alpha 2)))
beta
(+ beta (+ alpha 2))
(+ alpha 2)
alpha
2
(+ (/ alpha (+ beta (+ alpha 2))) -1)
(/ alpha (+ beta (+ alpha 2)))
-1
1
(/ (- 1 (/ alpha (+ alpha 2))) 2)
(- 1 (/ alpha (+ alpha 2)))
1
(/ alpha (+ alpha 2))
alpha
(+ alpha 2)
2
(/ (/ (+ (/ (- beta alpha) (* (/ (+ beta (+ alpha 2)) (- beta alpha)) (+ beta (+ alpha 2)))) -1) (+ (/ (- beta alpha) (+ beta (+ alpha 2))) -1)) 2)
(/ (+ (/ (- beta alpha) (* (/ (+ beta (+ alpha 2)) (- beta alpha)) (+ beta (+ alpha 2)))) -1) (+ (/ (- beta alpha) (+ beta (+ alpha 2))) -1))
(+ (/ (- beta alpha) (* (/ (+ beta (+ alpha 2)) (- beta alpha)) (+ beta (+ alpha 2)))) -1)
(/ (- beta alpha) (* (/ (+ beta (+ alpha 2)) (- beta alpha)) (+ beta (+ alpha 2))))
(- beta alpha)
beta
alpha
(* (/ (+ beta (+ alpha 2)) (- beta alpha)) (+ beta (+ alpha 2)))
(/ (+ beta (+ alpha 2)) (- beta alpha))
(+ beta (+ alpha 2))
(+ alpha 2)
2
-1
(+ (/ (- beta alpha) (+ beta (+ alpha 2))) -1)
(/ (- beta alpha) (+ beta (+ alpha 2)))
(/ (+ 1 (+ beta (* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (+ (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha)) (/ (+ (- 0 (pow (+ 2 beta) 4)) (* (* beta (* (+ 2 beta) (- -2 beta))) (+ 2 beta))) (* alpha (* alpha alpha)))))))) alpha)
(+ 1 (+ beta (* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (+ (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha)) (/ (+ (- 0 (pow (+ 2 beta) 4)) (* (* beta (* (+ 2 beta) (- -2 beta))) (+ 2 beta))) (* alpha (* alpha alpha))))))))
1
(+ beta (* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (+ (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha)) (/ (+ (- 0 (pow (+ 2 beta) 4)) (* (* beta (* (+ 2 beta) (- -2 beta))) (+ 2 beta))) (* alpha (* alpha alpha)))))))
beta
(* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (+ (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha)) (/ (+ (- 0 (pow (+ 2 beta) 4)) (* (* beta (* (+ 2 beta) (- -2 beta))) (+ 2 beta))) (* alpha (* alpha alpha))))))
1/2
(+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (+ (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha)) (/ (+ (- 0 (pow (+ 2 beta) 4)) (* (* beta (* (+ 2 beta) (- -2 beta))) (+ 2 beta))) (* alpha (* alpha alpha)))))
(* (- (- -2 beta) beta) (/ (+ 2 beta) alpha))
(- (- -2 beta) beta)
(- -2 beta)
-2
(/ (+ 2 beta) alpha)
(+ 2 beta)
2
alpha
(+ (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha)) (/ (+ (- 0 (pow (+ 2 beta) 4)) (* (* beta (* (+ 2 beta) (- -2 beta))) (+ 2 beta))) (* alpha (* alpha alpha))))
(/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha))
(* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta))))
(* (+ 2 beta) (+ beta (+ 2 beta)))
(+ beta (+ 2 beta))
(* alpha alpha)
(/ (+ (- 0 (pow (+ 2 beta) 4)) (* (* beta (* (+ 2 beta) (- -2 beta))) (+ 2 beta))) (* alpha (* alpha alpha)))
(+ (- 0 (pow (+ 2 beta) 4)) (* (* beta (* (+ 2 beta) (- -2 beta))) (+ 2 beta)))
(- 0 (pow (+ 2 beta) 4))
0
(pow (+ 2 beta) 4)
4
(* (* beta (* (+ 2 beta) (- -2 beta))) (+ 2 beta))
(* beta (* (+ 2 beta) (- -2 beta)))
(* (+ 2 beta) (- -2 beta))
(* alpha (* alpha alpha))

Outputs
(/ (- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1)) 2)
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1/2 binary64))
(- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/ beta (+ beta (+ alpha 2)))
(/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
beta
(+ beta (+ alpha 2))
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(+ alpha 2)
(+.f64 alpha #s(literal 2 binary64))
alpha
2
#s(literal 2 binary64)
(+ (/ alpha (+ beta (+ alpha 2))) -1)
(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))
(/ alpha (+ beta (+ alpha 2)))
(/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
-1
#s(literal -1 binary64)
1
#s(literal 1 binary64)
(/ (- 1 (/ alpha (+ alpha 2))) 2)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
(- 1 (/ alpha (+ alpha 2)))
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
1
#s(literal 1 binary64)
(/ alpha (+ alpha 2))
(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
alpha
(+ alpha 2)
(+.f64 alpha #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (/ (+ (/ (- beta alpha) (* (/ (+ beta (+ alpha 2)) (- beta alpha)) (+ beta (+ alpha 2)))) -1) (+ (/ (- beta alpha) (+ beta (+ alpha 2))) -1)) 2)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha)))) (+.f64 #s(literal -2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(/ (+ (/ (- beta alpha) (* (/ (+ beta (+ alpha 2)) (- beta alpha)) (+ beta (+ alpha 2)))) -1) (+ (/ (- beta alpha) (+ beta (+ alpha 2))) -1))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha)))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))
(+ (/ (- beta alpha) (* (/ (+ beta (+ alpha 2)) (- beta alpha)) (+ beta (+ alpha 2)))) -1)
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha))))
(/ (- beta alpha) (* (/ (+ beta (+ alpha 2)) (- beta alpha)) (+ beta (+ alpha 2))))
(/.f64 (-.f64 beta alpha) (/.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha)))
(- beta alpha)
(-.f64 beta alpha)
beta
alpha
(* (/ (+ beta (+ alpha 2)) (- beta alpha)) (+ beta (+ alpha 2)))
(/.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha))
(/ (+ beta (+ alpha 2)) (- beta alpha))
(/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))
(+ beta (+ alpha 2))
(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(+ alpha 2)
(+.f64 alpha #s(literal 2 binary64))
2
#s(literal 2 binary64)
-1
#s(literal -1 binary64)
(+ (/ (- beta alpha) (+ beta (+ alpha 2))) -1)
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
(/ (- beta alpha) (+ beta (+ alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
(/ (+ 1 (+ beta (* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (+ (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha)) (/ (+ (- 0 (pow (+ 2 beta) 4)) (* (* beta (* (+ 2 beta) (- -2 beta))) (+ 2 beta))) (* alpha (* alpha alpha)))))))) alpha)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (.f64 (-.f64 #s(literal -2 binary64) beta) (.f64 beta (.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)))) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 alpha (.f64 alpha alpha))) (/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal -2 binary64) (.f64 beta #s(literal -2 binary64))) (.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 2 binary64) (.f64 beta #s(literal 2 binary64)))))) alpha))) (+.f64 beta #s(literal 1 binary64))) alpha)
(+ 1 (+ beta (* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (+ (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha)) (/ (+ (- 0 (pow (+ 2 beta) 4)) (* (* beta (* (+ 2 beta) (- -2 beta))) (+ 2 beta))) (* alpha (* alpha alpha))))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (.f64 (-.f64 #s(literal -2 binary64) beta) (.f64 beta (.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)))) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 alpha (.f64 alpha alpha))) (/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal -2 binary64) (.f64 beta #s(literal -2 binary64))) (.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 2 binary64) (.f64 beta #s(literal 2 binary64)))))) alpha))) (+.f64 beta #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ beta (* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (+ (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha)) (/ (+ (- 0 (pow (+ 2 beta) 4)) (* (* beta (* (+ 2 beta) (- -2 beta))) (+ 2 beta))) (* alpha (* alpha alpha)))))))
(+.f64 beta (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (.f64 (-.f64 #s(literal -2 binary64) beta) (.f64 beta (.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)))) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 alpha (.f64 alpha alpha))) (/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal -2 binary64) (.f64 beta #s(literal -2 binary64))) (.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 2 binary64) (.f64 beta #s(literal 2 binary64)))))) alpha))))
beta
(* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (+ (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha)) (/ (+ (- 0 (pow (+ 2 beta) 4)) (* (* beta (* (+ 2 beta) (- -2 beta))) (+ 2 beta))) (* alpha (* alpha alpha))))))
(.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (.f64 (-.f64 #s(literal -2 binary64) beta) (.f64 beta (.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)))) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 alpha (.f64 alpha alpha))) (/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal -2 binary64) (.f64 beta #s(literal -2 binary64))) (.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 2 binary64) (.f64 beta #s(literal 2 binary64)))))) alpha)))
1/2
#s(literal 1/2 binary64)
(+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (+ (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha)) (/ (+ (- 0 (pow (+ 2 beta) 4)) (* (* beta (* (+ 2 beta) (- -2 beta))) (+ 2 beta))) (* alpha (* alpha alpha)))))
(+.f64 (/.f64 (-.f64 (.f64 (-.f64 #s(literal -2 binary64) beta) (.f64 beta (.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)))) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 alpha (.f64 alpha alpha))) (/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal -2 binary64) (.f64 beta #s(literal -2 binary64))) (.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))))) alpha))
(* (- (- -2 beta) beta) (/ (+ 2 beta) alpha))
(.f64 (+.f64 #s(literal -2 binary64) (.f64 beta #s(literal -2 binary64))) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))
(- (- -2 beta) beta)
(+.f64 #s(literal -2 binary64) (*.f64 beta #s(literal -2 binary64)))
(- -2 beta)
(-.f64 #s(literal -2 binary64) beta)
-2
#s(literal -2 binary64)
(/ (+ 2 beta) alpha)
(/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)
(+ 2 beta)
(+.f64 beta #s(literal 2 binary64))
2
#s(literal 2 binary64)
alpha
(+ (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha)) (/ (+ (- 0 (pow (+ 2 beta) 4)) (* (* beta (* (+ 2 beta) (- -2 beta))) (+ 2 beta))) (* alpha (* alpha alpha))))
(+.f64 (.f64 (.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 beta #s(literal 2 binary64))) (.f64 alpha alpha))) (/.f64 (-.f64 (.f64 (-.f64 #s(literal -2 binary64) beta) (.f64 beta (.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)))) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 alpha (*.f64 alpha alpha))))
(/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha))
(.f64 (.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 beta #s(literal 2 binary64))) (.f64 alpha alpha)))
(* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta))))
(.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))))
(* (+ 2 beta) (+ beta (+ 2 beta)))
(.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 beta #s(literal 2 binary64))))
(+ beta (+ 2 beta))
(+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64)))
(* alpha alpha)
(*.f64 alpha alpha)
(/ (+ (- 0 (pow (+ 2 beta) 4)) (* (* beta (* (+ 2 beta) (- -2 beta))) (+ 2 beta))) (* alpha (* alpha alpha)))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal -2 binary64) beta) (.f64 beta (.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)))) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))) (.f64 alpha (*.f64 alpha alpha)))
(+ (- 0 (pow (+ 2 beta) 4)) (* (* beta (* (+ 2 beta) (- -2 beta))) (+ 2 beta)))
(-.f64 (.f64 (-.f64 #s(literal -2 binary64) beta) (.f64 beta (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)))) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)))
(- 0 (pow (+ 2 beta) 4))
(-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64)))
0
#s(literal 0 binary64)
(pow (+ 2 beta) 4)
(pow.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(* (* beta (* (+ 2 beta) (- -2 beta))) (+ 2 beta))
(.f64 (-.f64 #s(literal -2 binary64) beta) (.f64 beta (*.f64 (-.f64 #s(literal -2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))))
(* beta (* (+ 2 beta) (- -2 beta)))
(.f64 (-.f64 #s(literal -2 binary64) beta) (.f64 beta (+.f64 beta #s(literal 2 binary64))))
(* (+ 2 beta) (- -2 beta))
(*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 beta #s(literal 2 binary64)))
(* alpha (* alpha alpha))
(.f64 alpha (.f64 alpha alpha))

localize338.0ms (3.1%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 alpha alpha)) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (.f64 (.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (.f64 alpha (.f64 alpha alpha)))))))) alpha)
✓	accuracy	95.1%	(/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha alpha))
✓	accuracy	94.0%	(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (.f64 (.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (.f64 alpha (*.f64 alpha alpha)))
✓	accuracy	77.7%	(+.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 alpha alpha)) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (.f64 (.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (.f64 alpha (.f64 alpha alpha))))
✓	accuracy	100.0%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
✓	accuracy	99.8%	(/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))
✓	accuracy	78.5%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))
✓	accuracy	53.8%	(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 alpha #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
✓	accuracy	71.5%	(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))
✓	accuracy	100.0%	(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
✓	accuracy	100.0%	(/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓	accuracy	100.0%	(/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓	accuracy	75.2%	(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))

Results

116.0ms	101×	1	valid
64.0ms	131×	0	valid
37.0ms	24×	2	valid

Compiler

Compiled 795 to 53 computations (93.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-div: 39.0ms (28.7% of total)

ival-mult: 27.0ms (19.9% of total)

ival-add: 24.0ms (17.7% of total)

backward-pass: 23.0ms (16.9% of total)

ival-sub: 13.0ms (9.6% of total)

ival-pow: 8.0ms (5.9% of total)

const: 2.0ms (1.5% of total)

series90.0ms (0.8%)

Counts

22 → 480

Calls

Call 1

Inputs
#<alt (/ (- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1)) 2)>
#<alt (- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1))>
#<alt (/ beta (+ beta (+ alpha 2)))>
#<alt (+ beta (+ alpha 2))>
#<alt (/ (- 1 (/ alpha (+ alpha 2))) 2)>
#<alt (- 1 (/ alpha (+ alpha 2)))>
#<alt (/ alpha (+ alpha 2))>
#<alt (+ alpha 2)>
#<alt (/ (/ (+ (/ (- beta alpha) (* (/ (+ beta (+ alpha 2)) (- beta alpha)) (+ beta (+ alpha 2)))) -1) (+ (/ (- beta alpha) (+ beta (+ alpha 2))) -1)) 2)>
#<alt (/ (+ (/ (- beta alpha) (* (/ (+ beta (+ alpha 2)) (- beta alpha)) (+ beta (+ alpha 2)))) -1) (+ (/ (- beta alpha) (+ beta (+ alpha 2))) -1))>
#<alt (+ (/ (- beta alpha) (* (/ (+ beta (+ alpha 2)) (- beta alpha)) (+ beta (+ alpha 2)))) -1)>
#<alt (/ (- beta alpha) (* (/ (+ beta (+ alpha 2)) (- beta alpha)) (+ beta (+ alpha 2))))>
#<alt (/ (+ 1 (+ beta (* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (+ (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha)) (/ (+ (- 0 (pow (+ 2 beta) 4)) (* (* beta (* (+ 2 beta) (- -2 beta))) (+ 2 beta))) (* alpha (* alpha alpha)))))))) alpha)>
#<alt (+ 1 (+ beta (* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (+ (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha)) (/ (+ (- 0 (pow (+ 2 beta) 4)) (* (* beta (* (+ 2 beta) (- -2 beta))) (+ 2 beta))) (* alpha (* alpha alpha))))))))>
#<alt (+ beta (* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (+ (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha)) (/ (+ (- 0 (pow (+ 2 beta) 4)) (* (* beta (* (+ 2 beta) (- -2 beta))) (+ 2 beta))) (* alpha (* alpha alpha)))))))>
#<alt (* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (+ (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha)) (/ (+ (- 0 (pow (+ 2 beta) 4)) (* (* beta (* (+ 2 beta) (- -2 beta))) (+ 2 beta))) (* alpha (* alpha alpha))))))>
#<alt (+ (/ alpha (+ beta (+ alpha 2))) -1)>
#<alt (/ alpha (+ beta (+ alpha 2)))>
#<alt (+ (/ (- beta alpha) (+ beta (+ alpha 2))) -1)>
#<alt (+ (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha)) (/ (+ (- 0 (pow (+ 2 beta) 4)) (* (* beta (* (+ 2 beta) (- -2 beta))) (+ 2 beta))) (* alpha (* alpha alpha))))>
#<alt (/ (+ (- 0 (pow (+ 2 beta) 4)) (* (* beta (* (+ 2 beta) (- -2 beta))) (+ 2 beta))) (* alpha (* alpha alpha)))>
#<alt (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha))>

Outputs
#<alt (* 1/2 (- 1 (/ alpha (+ 2 alpha))))>
#<alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))>
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))>
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (- (+ 2 alpha) (* -1 alpha)) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (* 1/2 (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)))) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta)))>
#<alt (* 1/2 (+ 1 (/ beta (+ 2 beta))))>
#<alt (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))>
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))>
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)>
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (- 1 (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))>
#<alt (- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))>
#<alt (- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (- (+ 2 alpha) (* -1 alpha)) beta)))>
#<alt (+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)))) (* -1 alpha)) beta)))>
#<alt (+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2))) beta)))) (* -1 alpha)) beta)))>
#<alt (+ 1 (/ beta (+ 2 beta)))>
#<alt (+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))>
#<alt (/ (+ 2 (* 2 beta)) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)>
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)>
#<alt (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))>
#<alt (/ beta (+ 2 alpha))>
#<alt (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))))>
#<alt (* beta (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))>
#<alt (* beta (+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 2 alpha) beta)))>
#<alt (- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
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#<alt (* (pow beta 4) (- (* -1 (/ (+ (* -1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 36 (/ 1 (pow alpha 3))))) beta)) (* 1/2 (- (* 14 (/ 1 (pow alpha 3))) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 3))))>
#<alt (* (pow beta 4) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* 6 (/ 1 alpha)) (* 40 (/ 1 (pow alpha 3)))) (* 16 (/ 1 (pow alpha 2)))) beta)) (* 1/2 (- (* 10 (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 36 (/ 1 (pow alpha 3))))))) beta)) (* 1/2 (- (* 14 (/ 1 (pow alpha 3))) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 3))))>
#<alt (* 1/2 (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3)))>
#<alt (/ (+ (* 1/2 (* alpha (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (* 1/2 (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)))) (pow alpha 3))>
#<alt (/ (+ (* 1/2 (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4))) (* alpha (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))))) (pow alpha 3))>
#<alt (/ (+ (* 1/2 (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4))) (* alpha (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))))) (pow alpha 3))>
#<alt (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))>
#<alt (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)>
#<alt (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (+ (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 2))))) alpha)>
#<alt (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (+ (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 2))))) alpha)>
#<alt (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* 1/2 (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) alpha))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* 1/2 (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) alpha))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha))>
#<alt -1>
#<alt (- (/ alpha (+ 2 beta)) 1)>
#<alt (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1)>
#<alt (- (* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) 1)>
#<alt (* -1 (/ (+ 2 beta) alpha))>
#<alt (/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)>
#<alt (/ (- (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha))))) alpha)>
#<alt (/ (- (/ (pow (+ 2 beta) 4) (pow alpha 3)) (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) alpha)>
#<alt (* -1 (/ (+ 2 beta) alpha))>
#<alt (* -1 (/ (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha)))) alpha))>
#<alt (* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 3) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))>
#<alt (* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 4) alpha)) (pow (+ 2 beta) 3)) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))>
#<alt (- (/ alpha (+ 2 alpha)) 1)>
#<alt (- (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha))) 1)>
#<alt (- (+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)>
#<alt (- (+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)>
#<alt -1>
#<alt (- (/ alpha beta) 1)>
#<alt (- (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta)) 1)>
#<alt (- (+ (/ alpha beta) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2))))>
#<alt -1>
#<alt (- (/ alpha beta) 1)>
#<alt (- (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1)>
#<alt (- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) 1)>
#<alt (/ alpha (+ 2 beta))>
#<alt (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))>
#<alt (* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))>
#<alt (* alpha (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 2 beta) alpha)))>
#<alt (- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))>
#<alt (- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 2 beta) alpha)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* -1 (+ 2 beta))) alpha)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 3) alpha)) (* -1 (pow (+ 2 beta) 2))) alpha)) (* -1 (+ 2 beta))) alpha)))>
#<alt (/ alpha (+ 2 alpha))>
#<alt (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha)))>
#<alt (+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))>
#<alt (+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))>
#<alt (/ alpha beta)>
#<alt (/ (+ alpha (* -1 (/ (* alpha (+ 2 alpha)) beta))) beta)>
#<alt (/ (- (+ alpha (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) beta)>
#<alt (/ (- (+ alpha (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta))) beta)>
#<alt (/ alpha beta)>
#<alt (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta))>
#<alt (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta))>
#<alt (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta))>
#<alt (* -1 (+ 1 (/ alpha (+ 2 alpha))))>
#<alt (- (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 1 (/ alpha (+ 2 alpha))))>
#<alt (- (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (+ 1 (/ alpha (+ 2 alpha))))>
#<alt (- (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (+ 1 (/ alpha (+ 2 alpha))))>
#<alt (* -1 (/ (+ 2 (* 2 alpha)) beta))>
#<alt (/ (- (/ (* alpha (+ 2 alpha)) beta) (+ 2 (+ (* -1 (/ (pow (+ 2 alpha) 2) beta)) (* 2 alpha)))) beta)>
#<alt (/ (- (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) (+ 2 (+ (* -1 (/ (pow (+ 2 alpha) 2) beta)) (+ (* 2 alpha) (/ (pow (+ 2 alpha) 3) (pow beta 2)))))) beta)>
#<alt (/ (- (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (+ (/ (* alpha (+ 2 alpha)) beta) (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ 2 (+ (* -1 (/ (pow (+ 2 alpha) 2) beta)) (+ (* -1 (/ (pow (+ 2 alpha) 4) (pow beta 3))) (+ (* 2 alpha) (/ (pow (+ 2 alpha) 3) (pow beta 2))))))) beta)>
#<alt (/ (- (* -1 alpha) (+ 2 alpha)) beta)>
#<alt (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))>
#<alt (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))>
#<alt (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1 (/ (+ (* -1 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) beta))>
#<alt (- (/ beta (+ 2 beta)) 1)>
#<alt (- (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) 1)>
#<alt (- (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) 1)>
#<alt (- (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) 1)>
#<alt -2>
#<alt (- (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) 2)>
#<alt (- (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha)))) (+ 2 (/ (* beta (+ 2 beta)) (pow alpha 2))))>
#<alt (- (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (* 2 (/ 1 alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 3))))) (+ 2 (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 3))) (/ (* beta (+ 2 beta)) (pow alpha 2)))))>
#<alt -2>
#<alt (- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 2)>
#<alt (- (* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha)) 2)>
#<alt (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) 2)>
#<alt (- (* 8 (/ 1 (pow alpha 2))) (* 16 (/ 1 (pow alpha 3))))>
#<alt (- (+ (* 8 (/ 1 (pow alpha 2))) (* beta (- (* 16 (/ 1 (pow alpha 2))) (* 40 (/ 1 (pow alpha 3)))))) (* 16 (/ 1 (pow alpha 3))))>
#<alt (- (+ (* 8 (/ 1 (pow alpha 2))) (* beta (- (+ (* 16 (/ 1 (pow alpha 2))) (* beta (- (* 10 (/ 1 (pow alpha 2))) (* 36 (/ 1 (pow alpha 3)))))) (* 40 (/ 1 (pow alpha 3)))))) (* 16 (/ 1 (pow alpha 3))))>
#<alt (- (+ (* 8 (/ 1 (pow alpha 2))) (* beta (- (+ (* 16 (/ 1 (pow alpha 2))) (* beta (- (+ (* 10 (/ 1 (pow alpha 2))) (* beta (- (* 2 (/ 1 (pow alpha 2))) (* 14 (/ 1 (pow alpha 3)))))) (* 36 (/ 1 (pow alpha 3)))))) (* 40 (/ 1 (pow alpha 3)))))) (* 16 (/ 1 (pow alpha 3))))>
#<alt (* -2 (/ (pow beta 4) (pow alpha 3)))>
#<alt (* (pow beta 4) (- (/ 2 (* (pow alpha 2) beta)) (+ (* 2 (/ 1 (pow alpha 3))) (/ 14 (* (pow alpha 3) beta)))))>
#<alt (* (pow beta 4) (- (+ (* 10 (/ 1 (* (pow alpha 2) (pow beta 2)))) (/ 2 (* (pow alpha 2) beta))) (+ (* 2 (/ 1 (pow alpha 3))) (+ (* 36 (/ 1 (* (pow alpha 3) (pow beta 2)))) (/ 14 (* (pow alpha 3) beta))))))>
#<alt (* (pow beta 4) (- (+ (* 10 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 2 (* (pow alpha 2) beta)) (/ 16 (* (pow alpha 2) (pow beta 3))))) (+ (* 2 (/ 1 (pow alpha 3))) (+ (* 36 (/ 1 (* (pow alpha 3) (pow beta 2)))) (+ (/ 14 (* (pow alpha 3) beta)) (/ 40 (* (pow alpha 3) (pow beta 3))))))))>
#<alt (* -2 (/ (pow beta 4) (pow alpha 3)))>
#<alt (* (pow beta 4) (- (* -1 (/ (- (* 14 (/ 1 (pow alpha 3))) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 2 (/ 1 (pow alpha 3)))))>
#<alt (* (pow beta 4) (- (* -1 (/ (- (+ (* -1 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 36 (/ 1 (pow alpha 3)))) beta)) (* 14 (/ 1 (pow alpha 3)))) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 2 (/ 1 (pow alpha 3)))))>
#<alt (* (pow beta 4) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 40 (/ 1 (pow alpha 3))) (* 16 (/ 1 (pow alpha 2)))) beta)) (* 10 (/ 1 (pow alpha 2)))) (* 36 (/ 1 (pow alpha 3)))) beta)) (* 14 (/ 1 (pow alpha 3)))) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 2 (/ 1 (pow alpha 3)))))>
#<alt (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))>
#<alt (/ (- (+ (* -1 (* beta (pow (+ 2 beta) 3))) (* alpha (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow (+ 2 beta) 4)) (pow alpha 3))>
#<alt (/ (- (+ (* -1 (* beta (pow (+ 2 beta) 3))) (* alpha (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow (+ 2 beta) 4)) (pow alpha 3))>
#<alt (/ (- (+ (* -1 (* beta (pow (+ 2 beta) 3))) (* alpha (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow (+ 2 beta) 4)) (pow alpha 3))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (- (+ (* -1 (/ (* beta (pow (+ 2 beta) 3)) alpha)) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (/ (pow (+ 2 beta) 4) alpha)) (pow alpha 2))>
#<alt (/ (- (+ (* -1 (/ (* beta (pow (+ 2 beta) 3)) alpha)) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (/ (pow (+ 2 beta) 4) alpha)) (pow alpha 2))>
#<alt (/ (- (+ (* -1 (/ (* beta (pow (+ 2 beta) 3)) alpha)) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (/ (pow (+ 2 beta) 4) alpha)) (pow alpha 2))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (- (+ (* -1 (/ (* beta (pow (+ 2 beta) 3)) alpha)) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (/ (pow (+ 2 beta) 4) alpha)) (pow alpha 2))>
#<alt (/ (- (+ (* -1 (/ (* beta (pow (+ 2 beta) 3)) alpha)) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (/ (pow (+ 2 beta) 4) alpha)) (pow alpha 2))>
#<alt (/ (- (+ (* -1 (/ (* beta (pow (+ 2 beta) 3)) alpha)) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (/ (pow (+ 2 beta) 4) alpha)) (pow alpha 2))>
#<alt (/ -16 (pow alpha 3))>
#<alt (- (* -40 (/ beta (pow alpha 3))) (* 16 (/ 1 (pow alpha 3))))>
#<alt (- (* beta (- (* -36 (/ beta (pow alpha 3))) (* 40 (/ 1 (pow alpha 3))))) (* 16 (/ 1 (pow alpha 3))))>
#<alt (- (* beta (- (* beta (- (* -14 (/ beta (pow alpha 3))) (* 36 (/ 1 (pow alpha 3))))) (* 40 (/ 1 (pow alpha 3))))) (* 16 (/ 1 (pow alpha 3))))>
#<alt (* -2 (/ (pow beta 4) (pow alpha 3)))>
#<alt (* -1 (* (pow beta 4) (+ (* 14 (/ 1 (* (pow alpha 3) beta))) (* 2 (/ 1 (pow alpha 3))))))>
#<alt (* (pow beta 4) (- (* -1 (/ (+ (* 14 (/ 1 (pow alpha 3))) (* 36 (/ 1 (* (pow alpha 3) beta)))) beta)) (* 2 (/ 1 (pow alpha 3)))))>
#<alt (* (pow beta 4) (- (* -1 (/ (+ (* 36 (/ 1 (pow alpha 3))) (* 40 (/ 1 (* (pow alpha 3) beta)))) (pow beta 2))) (+ (* 2 (/ 1 (pow alpha 3))) (/ 14 (* (pow alpha 3) beta)))))>
#<alt (* -2 (/ (pow beta 4) (pow alpha 3)))>
#<alt (* -1 (* (pow beta 4) (+ (* 14 (/ 1 (* (pow alpha 3) beta))) (* 2 (/ 1 (pow alpha 3))))))>
#<alt (* (pow beta 4) (- (* -1 (/ (+ (* 36 (/ 1 (* (pow alpha 3) beta))) (* 14 (/ 1 (pow alpha 3)))) beta)) (* 2 (/ 1 (pow alpha 3)))))>
#<alt (* (pow beta 4) (- (* -1 (/ (+ (* 14 (/ 1 (pow alpha 3))) (+ (/ 36 (* (pow alpha 3) beta)) (/ 40 (* (pow alpha 3) (pow beta 2))))) beta)) (* 2 (/ 1 (pow alpha 3)))))>
#<alt (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))>
#<alt (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))>
#<alt (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))>
#<alt (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))>
#<alt (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))>
#<alt (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))>
#<alt (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))>
#<alt (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))>
#<alt (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))>
#<alt (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))>
#<alt (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))>
#<alt (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))>
#<alt (/ 8 (pow alpha 2))>
#<alt (+ (* 16 (/ beta (pow alpha 2))) (* 8 (/ 1 (pow alpha 2))))>
#<alt (+ (* beta (+ (* 10 (/ beta (pow alpha 2))) (* 16 (/ 1 (pow alpha 2))))) (* 8 (/ 1 (pow alpha 2))))>
#<alt (+ (* beta (+ (* beta (+ (* 2 (/ beta (pow alpha 2))) (* 10 (/ 1 (pow alpha 2))))) (* 16 (/ 1 (pow alpha 2))))) (* 8 (/ 1 (pow alpha 2))))>
#<alt (* 2 (/ (pow beta 3) (pow alpha 2)))>
#<alt (* (pow beta 3) (+ (* 10 (/ 1 (* (pow alpha 2) beta))) (* 2 (/ 1 (pow alpha 2)))))>
#<alt (* (pow beta 3) (+ (* 2 (/ 1 (pow alpha 2))) (+ (/ 10 (* (pow alpha 2) beta)) (/ 16 (* (pow alpha 2) (pow beta 2))))))>
#<alt (* (pow beta 3) (+ (* 16 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 8 (/ 1 (* (pow alpha 2) (pow beta 3)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 10 (* (pow alpha 2) beta))))))>
#<alt (* 2 (/ (pow beta 3) (pow alpha 2)))>
#<alt (* (pow beta 3) (+ (* 10 (/ 1 (* (pow alpha 2) beta))) (* 2 (/ 1 (pow alpha 2)))))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ (* 16 (/ 1 (* (pow alpha 2) beta))) (* 10 (/ 1 (pow alpha 2)))) beta)) (* 2 (/ 1 (pow alpha 2))))))>
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (+ (* 10 (/ 1 (pow alpha 2))) (+ (/ 8 (* (pow alpha 2) (pow beta 2))) (/ 16 (* (pow alpha 2) beta)))) beta)) (* 2 (/ 1 (pow alpha 2))))))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>
#<alt (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))>

Calls

120 calls:

Time	Variable		Point	Expression
6.0ms	alpha	@	0	(+ (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha)) (/ (+ (- 0 (pow (+ 2 beta) 4)) (* (* beta (* (+ 2 beta) (- -2 beta))) (+ 2 beta))) (* alpha (* alpha alpha))))
5.0ms	alpha	@	inf	(/ (/ (+ (/ (- beta alpha) (* (/ (+ beta (+ alpha 2)) (- beta alpha)) (+ beta (+ alpha 2)))) -1) (+ (/ (- beta alpha) (+ beta (+ alpha 2))) -1)) 2)
4.0ms	alpha	@	inf	(/ (+ (/ (- beta alpha) (* (/ (+ beta (+ alpha 2)) (- beta alpha)) (+ beta (+ alpha 2)))) -1) (+ (/ (- beta alpha) (+ beta (+ alpha 2))) -1))
4.0ms	alpha	@	0	(/ (/ (+ (/ (- beta alpha) (* (/ (+ beta (+ alpha 2)) (- beta alpha)) (+ beta (+ alpha 2)))) -1) (+ (/ (- beta alpha) (+ beta (+ alpha 2))) -1)) 2)
3.0ms	alpha	@	-inf	(/ (/ (+ (/ (- beta alpha) (* (/ (+ beta (+ alpha 2)) (- beta alpha)) (+ beta (+ alpha 2)))) -1) (+ (/ (- beta alpha) (+ beta (+ alpha 2))) -1)) 2)

rewrite443.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3322×	`-lowering-.f32`
3322×	`-lowering-.f64`
3000×	`/-lowering-/.f32`
3000×	`/-lowering-/.f64`
1468×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	466
1	434	387
2	5661	381
0	8025	381

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 637

Calls

Call 1

Inputs
(/ (- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1)) 2)
(- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1))
(/ beta (+ beta (+ alpha 2)))
(+ beta (+ alpha 2))
(/ (- 1 (/ alpha (+ alpha 2))) 2)
(- 1 (/ alpha (+ alpha 2)))
(/ alpha (+ alpha 2))
(+ alpha 2)
(/ (/ (+ (/ (- beta alpha) (* (/ (+ beta (+ alpha 2)) (- beta alpha)) (+ beta (+ alpha 2)))) -1) (+ (/ (- beta alpha) (+ beta (+ alpha 2))) -1)) 2)
(/ (+ (/ (- beta alpha) (* (/ (+ beta (+ alpha 2)) (- beta alpha)) (+ beta (+ alpha 2)))) -1) (+ (/ (- beta alpha) (+ beta (+ alpha 2))) -1))
(+ (/ (- beta alpha) (* (/ (+ beta (+ alpha 2)) (- beta alpha)) (+ beta (+ alpha 2)))) -1)
(/ (- beta alpha) (* (/ (+ beta (+ alpha 2)) (- beta alpha)) (+ beta (+ alpha 2))))
(/ (+ 1 (+ beta (* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (+ (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha)) (/ (+ (- 0 (pow (+ 2 beta) 4)) (* (* beta (* (+ 2 beta) (- -2 beta))) (+ 2 beta))) (* alpha (* alpha alpha)))))))) alpha)
(+ 1 (+ beta (* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (+ (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha)) (/ (+ (- 0 (pow (+ 2 beta) 4)) (* (* beta (* (+ 2 beta) (- -2 beta))) (+ 2 beta))) (* alpha (* alpha alpha))))))))
(+ beta (* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (+ (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha)) (/ (+ (- 0 (pow (+ 2 beta) 4)) (* (* beta (* (+ 2 beta) (- -2 beta))) (+ 2 beta))) (* alpha (* alpha alpha)))))))
(* 1/2 (+ (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)) (+ (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha)) (/ (+ (- 0 (pow (+ 2 beta) 4)) (* (* beta (* (+ 2 beta) (- -2 beta))) (+ 2 beta))) (* alpha (* alpha alpha))))))
(+ (/ alpha (+ beta (+ alpha 2))) -1)
(/ alpha (+ beta (+ alpha 2)))
(+ (/ (- beta alpha) (+ beta (+ alpha 2))) -1)
(+ (/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha)) (/ (+ (- 0 (pow (+ 2 beta) 4)) (* (* beta (* (+ 2 beta) (- -2 beta))) (+ 2 beta))) (* alpha (* alpha alpha))))
(/ (+ (- 0 (pow (+ 2 beta) 4)) (* (* beta (* (+ 2 beta) (- -2 beta))) (+ 2 beta))) (* alpha (* alpha alpha)))
(/ (* (+ 2 beta) (* (+ 2 beta) (+ beta (+ 2 beta)))) (* alpha alpha))

Outputs
(+.f64 (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 2 binary64)) (neg.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 beta (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 alpha (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
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(.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 beta #s(literal 2 binary64))) (.f64 alpha alpha)))
(.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 beta #s(literal 2 binary64))) alpha))) (/.f64 #s(literal 1 binary64) alpha))
(.f64 (.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) alpha)) (+.f64 beta #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) alpha) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))) alpha))

simplify717.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

4132×	`-lowering-.f32`
4132×	`-lowering-.f64`
3888×	`+-lowering-+.f64`
3888×	`+-lowering-+.f32`
2466×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1930	23489
1	6853	22970
0	8269	22970

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

Calls

Call 1

Inputs
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
1
(+ 1 (* -1/2 (/ (- (+ 2 alpha) (* -1 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (* 1/2 (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)))) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta)))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(- 1 (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
2
(+ 2 (* -1 (/ (- (+ 2 alpha) (* -1 alpha)) beta)))
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)))) (* -1 alpha)) beta)))
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* -1 (/ (+ (* alpha (pow (+ 2 alpha) 2)) (pow (+ 2 alpha) 3)) beta)) (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2))) beta)))) (* -1 alpha)) beta)))
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(/ (+ 2 (* 2 beta)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(/ beta (+ 2 alpha))
(* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))))
(* beta (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))
(* beta (+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))
1
(+ 1 (* -1 (/ (+ 2 alpha) beta)))
(- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))))
1
(+ 1 (* -1 (/ (+ 2 alpha) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 2) beta)) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 3) beta)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1 (+ 2 alpha))) beta)))
(/ beta (+ 2 beta))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta)))
(+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
(/ beta alpha)
(/ (+ beta (* -1 (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ beta (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ beta (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3)))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ beta alpha)
(* -1 (/ (+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha)) alpha))
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 2)) alpha) (* beta (+ 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 3)) alpha) (* beta (pow (+ 2 beta) 2))) alpha)) (* beta (+ 2 beta))) alpha))) alpha))
(+ 2 alpha)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
beta
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(+ 2 beta)
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
(+ 2 (+ alpha beta))
alpha
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
1/2
(+ 1/2 (* -1/4 alpha))
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))
(/ 1 alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)
(/ 1 alpha)
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))
1
(+ 1 (* -1/2 alpha))
(+ 1 (* alpha (- (* 1/4 alpha) 1/2)))
(+ 1 (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2)))
(/ 2 alpha)
(/ (- 2 (* 4 (/ 1 alpha))) alpha)
(/ (- (+ 2 (/ 8 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)
(/ (- (+ 2 (/ 8 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))) alpha)
(/ 2 alpha)
(* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha))
(* 1/2 alpha)
(* alpha (+ 1/2 (* -1/4 alpha)))
(* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))))
(* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))))
1
(- 1 (* 2 (/ 1 alpha)))
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))
(- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))))
1
(- 1 (* 2 (/ 1 alpha)))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) alpha)))
2
(+ 2 alpha)
(+ 2 alpha)
(+ 2 alpha)
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(* -1/2 (/ (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1) (+ 1 (/ alpha (+ 2 alpha)))))
(+ (* -1/2 (/ (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1) (+ 1 (/ alpha (+ 2 alpha))))) (* 1/2 (* beta (- (* -1 (/ (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4))) (+ 1 (/ alpha (+ 2 alpha))))) (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1)) (pow (+ 1 (/ alpha (+ 2 alpha))) 2))))))
(+ (* -1/2 (/ (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1) (+ 1 (/ alpha (+ 2 alpha))))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ (- (/ 1 (pow (+ 2 alpha) 2)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))) (+ 1 (/ alpha (+ 2 alpha))))) (+ (* -1 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (* -1 (/ (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4))) (+ 1 (/ alpha (+ 2 alpha))))) (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1)) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)))) (+ 1 (/ alpha (+ 2 alpha))))) (/ (* (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1)) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)))))) (* 1/2 (- (* -1 (/ (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4))) (+ 1 (/ alpha (+ 2 alpha))))) (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1)) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)))))))
(+ (* -1/2 (/ (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1) (+ 1 (/ alpha (+ 2 alpha))))) (* beta (+ (* 1/2 (- (* -1 (/ (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4))) (+ 1 (/ alpha (+ 2 alpha))))) (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1)) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ (- (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 6)) (+ (* -2 (/ alpha (pow (+ 2 alpha) 4))) (/ (* (+ 4 (* 2 alpha)) (- (/ 1 (pow (+ 2 alpha) 2)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (pow (+ 2 alpha) 2)))) (+ 1 (/ alpha (+ 2 alpha))))) (+ (* -1 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (* -1 (/ (- (/ 1 (pow (+ 2 alpha) 2)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))) (+ 1 (/ alpha (+ 2 alpha))))) (+ (* -1 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (* -1 (/ (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4))) (+ 1 (/ alpha (+ 2 alpha))))) (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1)) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)))) (+ 1 (/ alpha (+ 2 alpha))))) (/ (* (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1)) (pow (+ 1 (/ alpha (+ 2 alpha))) 2))))) (+ 1 (/ alpha (+ 2 alpha))))) (+ (* -1 (/ (* (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (- (* -1 (/ (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4))) (+ 1 (/ alpha (+ 2 alpha))))) (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1)) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)))) (+ 1 (/ alpha (+ 2 alpha))))) (/ (* (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1)) (pow (+ 1 (/ alpha (+ 2 alpha))) 2))))))) (* 1/2 (- (* -1 (/ (- (/ 1 (pow (+ 2 alpha) 2)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))) (+ 1 (/ alpha (+ 2 alpha))))) (+ (* -1 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (* -1 (/ (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4))) (+ 1 (/ alpha (+ 2 alpha))))) (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1)) (pow (+ 1 (/ alpha (+ 2 alpha))) 2)))) (+ 1 (/ alpha (+ 2 alpha))))) (/ (* (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1)) (pow (+ 1 (/ alpha (+ 2 alpha))) 2))))))))))
(* -1/2 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) (+ 2 (* 2 alpha))))
(+ (* -1/2 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) (+ 2 (* 2 alpha)))) (* 1/2 (/ (- (* -1 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (+ 2 (* 2 alpha)))) (/ (* (- (* -2 alpha) (+ 4 (* 2 alpha))) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2)))) (pow (+ 2 (* 2 alpha)) 2))) beta)))
(+ (* -1/2 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) (+ 2 (* 2 alpha)))) (+ (* 1/2 (/ (- (* -1 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (+ 2 (* 2 alpha)))) (/ (* (- (* -2 alpha) (+ 4 (* 2 alpha))) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2)))) (pow (+ 2 (* 2 alpha)) 2))) beta)) (* 1/2 (/ (- (+ (/ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (+ 2 (* 2 alpha))) (/ (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (+ 2 (* 2 alpha)))) (+ (* -1 (/ (* (- (* -1 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (+ 2 (* 2 alpha)))) (/ (* (- (* -2 alpha) (+ 4 (* 2 alpha))) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2)))) (pow (+ 2 (* 2 alpha)) 2))) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2)))) (+ 2 (* 2 alpha)))) (/ (* (- (* -2 alpha) (+ 4 (* 2 alpha))) (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (pow (+ 2 (* 2 alpha)) 2)))) (pow beta 2)))))
(+ (* -1/2 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) (+ 2 (* 2 alpha)))) (+ (* 1/2 (/ (- (* -1 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (+ 2 (* 2 alpha)))) (/ (* (- (* -2 alpha) (+ 4 (* 2 alpha))) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2)))) (pow (+ 2 (* 2 alpha)) 2))) beta)) (+ (* 1/2 (/ (- (+ (* -1 (/ (* (+ 4 (* 2 alpha)) (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha)))))) (+ 2 (* 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (+ 2 (* 2 alpha)))) (+ (* -1 (/ (* (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (- (* -1 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (+ 2 (* 2 alpha)))) (/ (* (- (* -2 alpha) (+ 4 (* 2 alpha))) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2)))) (pow (+ 2 (* 2 alpha)) 2)))) (+ 2 (* 2 alpha)))) (+ (* -1 (/ (* (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (- (+ (/ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (+ 2 (* 2 alpha))) (/ (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (+ 2 (* 2 alpha)))) (+ (* -1 (/ (* (- (* -1 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (+ 2 (* 2 alpha)))) (/ (* (- (* -2 alpha) (+ 4 (* 2 alpha))) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2)))) (pow (+ 2 (* 2 alpha)) 2))) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2)))) (+ 2 (* 2 alpha)))) (/ (* (- (* -2 alpha) (+ 4 (* 2 alpha))) (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (pow (+ 2 (* 2 alpha)) 2))))) (+ 2 (* 2 alpha)))) (/ (* (- (* -2 alpha) (+ 4 (* 2 alpha))) (- (* alpha (pow (+ 2 alpha) 3)) (* -1 (pow (+ 2 alpha) 4)))) (pow (+ 2 (* 2 alpha)) 2))))) (pow beta 3))) (* 1/2 (/ (- (+ (/ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (+ 2 (* 2 alpha))) (/ (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (+ 2 (* 2 alpha)))) (+ (* -1 (/ (* (- (* -1 (/ (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))) (+ 2 (* 2 alpha)))) (/ (* (- (* -2 alpha) (+ 4 (* 2 alpha))) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2)))) (pow (+ 2 (* 2 alpha)) 2))) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2)))) (+ 2 (* 2 alpha)))) (/ (* (- (* -2 alpha) (+ 4 (* 2 alpha))) (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))) (pow (+ 2 (* 2 alpha)) 2)))) (pow beta 2))))))
(* -1/2 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) (- (* -1 alpha) (+ 2 alpha))))
(+ (* -1/2 (/ (- (* -1 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) (- (* -1 alpha) (+ 2 alpha)))) (* -1 (/ (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha)))) (- (* -1 alpha) (+ 2 alpha))))) beta)) (* -1/2 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) (- (* -1 alpha) (+ 2 alpha)))))
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(* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (+ (/ (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))) beta) (pow alpha 2))) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) beta)) (* 2 alpha)) (* -2 (+ 2 alpha))) beta))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (/ (* (+ 2 alpha) (+ (* -2 (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))))) beta)) (/ (* (pow (+ 2 alpha) 2) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (+ (* -2 (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))))) (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))))) beta)) (pow alpha 2)) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) beta)) (* 2 alpha)) (* -2 (+ 2 alpha))) beta))
(- (/ (pow beta 2) (pow (+ 2 beta) 2)) 1)
(- (+ (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) 1)
(- (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) 1)
(- (+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (+ (* alpha (- (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)) (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (/ (* (+ 4 (* 2 beta)) (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))))) (/ 1 (pow (+ 2 beta) 2))) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) 1)
(/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha)
(/ (- (+ (* -2 beta) (/ (pow beta 2) alpha)) (+ 4 (+ (* 2 beta) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) alpha) (/ (pow (+ 2 beta) 2) alpha))))) alpha)
(/ (- (+ (* -2 beta) (+ (* -1 (/ (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 2))) (/ (pow beta 2) alpha))) (+ 4 (+ (* 2 beta) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) alpha) (/ (pow (+ 2 beta) 2) alpha))))) alpha)
(/ (- (+ (* -2 beta) (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))))) (* (pow (+ 2 beta) 2) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))))) (pow alpha 3))) (/ (pow beta 2) alpha))) (+ 4 (+ (* 2 beta) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) alpha) (+ (/ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (pow alpha 2)) (+ (/ (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow alpha 2)) (/ (pow (+ 2 beta) 2) alpha))))))) alpha)
(* -1 (/ (- (* 2 beta) (* -2 (+ 2 beta))) alpha))
(* -1 (/ (- (+ (* -1 (/ (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))) alpha)) (* 2 beta)) (* -2 (+ 2 beta))) alpha))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) alpha)) (+ (/ (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta)))) alpha) (pow beta 2))) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))) alpha)) (* 2 beta)) (* -2 (+ 2 beta))) alpha))
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (/ (* (+ 2 beta) (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta)))))) alpha)) (/ (* (pow (+ 2 beta) 2) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) alpha)) (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta)))))) alpha)) (pow beta 2)) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))) alpha)) (* 2 beta)) (* -2 (+ 2 beta))) alpha))
(/ (pow alpha 2) (pow (+ 2 alpha) 2))
(+ (* beta (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))
(+ (* beta (- (+ (* -2 (/ alpha (pow (+ 2 alpha) 2))) (* beta (- (/ 1 (pow (+ 2 alpha) 2)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))
(+ (* beta (- (+ (* -2 (/ alpha (pow (+ 2 alpha) 2))) (* beta (- (+ (* beta (- (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 6)) (+ (* -2 (/ alpha (pow (+ 2 alpha) 4))) (/ (* (+ 4 (* 2 alpha)) (- (/ 1 (pow (+ 2 alpha) 2)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (pow (+ 2 alpha) 2))))) (/ 1 (pow (+ 2 alpha) 2))) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (pow alpha 2) (pow (+ 2 alpha) 2)))
1
(- (+ 1 (* -2 (/ alpha beta))) (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta))))
(- (+ 1 (+ (* -2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))
(- (+ 1 (+ (* -2 (/ alpha beta)) (+ (* -1 (/ (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (pow beta 3))) (/ (pow alpha 2) (pow beta 2))))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))
1
(+ 1 (* -1 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) beta)) (* 2 alpha)) (* -2 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (+ (/ (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))) beta) (pow alpha 2))) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) beta)) (* 2 alpha)) (* -2 (+ 2 alpha))) beta)))
(/ (pow beta 2) (pow (+ 2 beta) 2))
(+ (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2)))
(+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2)))
(+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (+ (* alpha (- (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)) (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (/ (* (+ 4 (* 2 beta)) (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))))) (/ 1 (pow (+ 2 beta) 2))) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2)))
1
(- (+ 1 (* -2 (/ beta alpha))) (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha))))
(- (+ 1 (+ (* -2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))) (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow alpha 2)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))
(- (+ 1 (+ (* -2 (/ beta alpha)) (+ (* -1 (/ (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 3))) (/ (pow beta 2) (pow alpha 2))))) (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow alpha 2)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))
1
(+ 1 (* -1 (/ (- (* 2 beta) (* -2 (+ 2 beta))) alpha)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))) alpha)) (* 2 beta)) (* -2 (+ 2 beta))) alpha)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) alpha)) (+ (/ (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta)))) alpha) (pow beta 2))) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))) alpha)) (* 2 beta)) (* -2 (+ 2 beta))) alpha)))
(/ (+ 1 (* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))))) alpha)
(+ (* 1/2 (/ (- (* 8 (/ 1 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))) alpha)) (+ (* beta (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (+ (* 6 (/ 1 alpha)) (* 40 (/ 1 (pow alpha 3))))) alpha)) (/ 1 alpha))) (/ 1 alpha)))
(+ (* 1/2 (/ (- (* 8 (/ 1 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))) alpha)) (+ (* beta (+ (* 1/2 (/ (* beta (- (* 10 (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 36 (/ 1 (pow alpha 3)))))) alpha)) (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (+ (* 6 (/ 1 alpha)) (* 40 (/ 1 (pow alpha 3))))) alpha)) (/ 1 alpha)))) (/ 1 alpha)))
(+ (* 1/2 (/ (- (* 8 (/ 1 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))) alpha)) (+ (* beta (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (+ (* 6 (/ 1 alpha)) (* 40 (/ 1 (pow alpha 3))))) alpha)) (+ (* beta (+ (* 1/2 (/ (* beta (- (* 2 (/ 1 (pow alpha 2))) (* 14 (/ 1 (pow alpha 3))))) alpha)) (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 36 (/ 1 (pow alpha 3))))) alpha)))) (/ 1 alpha)))) (/ 1 alpha)))
(* -1 (/ (pow beta 4) (pow alpha 4)))
(* (pow beta 4) (- (* 1/2 (/ (- (* 2 (/ 1 (pow alpha 2))) (* 14 (/ 1 (pow alpha 3)))) (* alpha beta))) (/ 1 (pow alpha 4))))
(* (pow beta 4) (- (+ (* 1/2 (/ (- (* 2 (/ 1 (pow alpha 2))) (* 14 (/ 1 (pow alpha 3)))) (* alpha beta))) (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 36 (/ 1 (pow alpha 3))))) (* alpha (pow beta 2))))) (/ 1 (pow alpha 4))))
(* (pow beta 4) (- (+ (* 1/2 (/ (- (* 2 (/ 1 (pow alpha 2))) (* 14 (/ 1 (pow alpha 3)))) (* alpha beta))) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 36 (/ 1 (pow alpha 3))))) (* alpha (pow beta 2)))) (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (+ (* 6 (/ 1 alpha)) (* 40 (/ 1 (pow alpha 3))))) (* alpha (pow beta 3)))) (/ 1 (* alpha (pow beta 3)))))) (/ 1 (pow alpha 4))))
(* -1 (/ (pow beta 4) (pow alpha 4)))
(* (pow beta 4) (- (* -1/2 (/ (- (* 14 (/ 1 (pow alpha 3))) (* 2 (/ 1 (pow alpha 2)))) (* alpha beta))) (/ 1 (pow alpha 4))))
(* (pow beta 4) (- (* -1 (/ (+ (* -1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 36 (/ 1 (pow alpha 3))))) (* alpha beta))) (* 1/2 (/ (- (* 14 (/ 1 (pow alpha 3))) (* 2 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 4))))
(* (pow beta 4) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ (- (+ (* 6 (/ 1 alpha)) (* 40 (/ 1 (pow alpha 3)))) (* 16 (/ 1 (pow alpha 2)))) alpha)) (/ 1 alpha)) beta)) (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 36 (/ 1 (pow alpha 3))))) alpha))) beta)) (* 1/2 (/ (- (* 14 (/ 1 (pow alpha 3))) (* 2 (/ 1 (pow alpha 2)))) alpha))) beta)) (/ 1 (pow alpha 4))))
(* 1/2 (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 4)))
(/ (+ (* 1/2 (* alpha (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (* 1/2 (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)))) (pow alpha 4))
(/ (+ (* 1/2 (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4))) (* alpha (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))))) (pow alpha 4))
(/ (+ (* 1/2 (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4))) (* alpha (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))))))) (pow alpha 4))
(/ (+ 1 beta) alpha)
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha)
(/ (+ 1 (+ beta (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))))) alpha)
(/ (+ 1 (+ beta (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (+ (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))) (* 1/2 (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))))))) alpha)
(/ (+ 1 beta) alpha)
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha))) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* -1/2 (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha))) alpha))
(+ 1 (* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3)))))))
(+ 1 (+ (* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3)))))) (* beta (+ 1 (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (+ (* 6 (/ 1 alpha)) (* 40 (/ 1 (pow alpha 3))))))))))
(+ 1 (+ (* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3)))))) (* beta (+ 1 (+ (* 1/2 (* beta (- (* 10 (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 36 (/ 1 (pow alpha 3))))))) (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (+ (* 6 (/ 1 alpha)) (* 40 (/ 1 (pow alpha 3)))))))))))
(+ 1 (+ (* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3)))))) (* beta (+ 1 (+ (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (+ (* 6 (/ 1 alpha)) (* 40 (/ 1 (pow alpha 3)))))) (* beta (+ (* 1/2 (* beta (- (* 2 (/ 1 (pow alpha 2))) (* 14 (/ 1 (pow alpha 3)))))) (* 1/2 (- (* 10 (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 36 (/ 1 (pow alpha 3)))))))))))))
(* -1 (/ (pow beta 4) (pow alpha 3)))
(* (pow beta 4) (- (* 1/2 (/ (- (* 2 (/ 1 (pow alpha 2))) (* 14 (/ 1 (pow alpha 3)))) beta)) (/ 1 (pow alpha 3))))
(* (pow beta 4) (- (+ (* 1/2 (/ (- (* 2 (/ 1 (pow alpha 2))) (* 14 (/ 1 (pow alpha 3)))) beta)) (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 36 (/ 1 (pow alpha 3))))) (pow beta 2)))) (/ 1 (pow alpha 3))))
(* (pow beta 4) (- (+ (* 1/2 (/ (- (* 2 (/ 1 (pow alpha 2))) (* 14 (/ 1 (pow alpha 3)))) beta)) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 36 (/ 1 (pow alpha 3))))) (pow beta 2))) (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (+ (* 6 (/ 1 alpha)) (* 40 (/ 1 (pow alpha 3))))) (pow beta 3))) (/ 1 (pow beta 3))))) (/ 1 (pow alpha 3))))
(* -1 (/ (pow beta 4) (pow alpha 3)))
(* (pow beta 4) (- (* -1/2 (/ (- (* 14 (/ 1 (pow alpha 3))) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 3))))
(* (pow beta 4) (- (* -1 (/ (+ (* -1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 36 (/ 1 (pow alpha 3))))) beta)) (* 1/2 (- (* 14 (/ 1 (pow alpha 3))) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 3))))
(* (pow beta 4) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (- (+ (* 6 (/ 1 alpha)) (* 40 (/ 1 (pow alpha 3)))) (* 16 (/ 1 (pow alpha 2))))) 1) beta)) (* 1/2 (- (* 10 (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 36 (/ 1 (pow alpha 3))))))) beta)) (* 1/2 (- (* 14 (/ 1 (pow alpha 3))) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 3))))
(* 1/2 (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3)))
(/ (+ (* 1/2 (* alpha (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (* 1/2 (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)))) (pow alpha 3))
(/ (+ (* 1/2 (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4))) (* alpha (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))))) (pow alpha 3))
(/ (+ (* 1/2 (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4))) (* alpha (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))))))) (pow alpha 3))
(+ 1 beta)
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
(+ 1 (+ beta (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))))))
(+ 1 (+ beta (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (+ (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))) (* 1/2 (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3)))))))
(+ 1 beta)
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
(+ 1 (+ beta (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha))))
(+ 1 (+ beta (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* 1/2 (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) alpha))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha))))
(* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))))
(+ (* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3)))))) (* beta (+ 1 (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (+ (* 6 (/ 1 alpha)) (* 40 (/ 1 (pow alpha 3)))))))))
(+ (* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3)))))) (* beta (+ 1 (+ (* 1/2 (* beta (- (* 10 (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 36 (/ 1 (pow alpha 3))))))) (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (+ (* 6 (/ 1 alpha)) (* 40 (/ 1 (pow alpha 3))))))))))
(+ (* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3)))))) (* beta (+ 1 (+ (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (+ (* 6 (/ 1 alpha)) (* 40 (/ 1 (pow alpha 3)))))) (* beta (+ (* 1/2 (* beta (- (* 2 (/ 1 (pow alpha 2))) (* 14 (/ 1 (pow alpha 3)))))) (* 1/2 (- (* 10 (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 36 (/ 1 (pow alpha 3))))))))))))
(* -1 (/ (pow beta 4) (pow alpha 3)))
(* (pow beta 4) (- (* 1/2 (/ (- (* 2 (/ 1 (pow alpha 2))) (* 14 (/ 1 (pow alpha 3)))) beta)) (/ 1 (pow alpha 3))))
(* (pow beta 4) (- (+ (* 1/2 (/ (- (* 2 (/ 1 (pow alpha 2))) (* 14 (/ 1 (pow alpha 3)))) beta)) (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 36 (/ 1 (pow alpha 3))))) (pow beta 2)))) (/ 1 (pow alpha 3))))
(* (pow beta 4) (- (+ (* 1/2 (/ (- (* 2 (/ 1 (pow alpha 2))) (* 14 (/ 1 (pow alpha 3)))) beta)) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 36 (/ 1 (pow alpha 3))))) (pow beta 2))) (+ (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (+ (* 6 (/ 1 alpha)) (* 40 (/ 1 (pow alpha 3))))) (pow beta 3))) (/ 1 (pow beta 3))))) (/ 1 (pow alpha 3))))
(* -1 (/ (pow beta 4) (pow alpha 3)))
(* (pow beta 4) (- (* -1/2 (/ (- (* 14 (/ 1 (pow alpha 3))) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 3))))
(* (pow beta 4) (- (* -1 (/ (+ (* -1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 36 (/ 1 (pow alpha 3))))) beta)) (* 1/2 (- (* 14 (/ 1 (pow alpha 3))) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 3))))
(* (pow beta 4) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (- (+ (* 6 (/ 1 alpha)) (* 40 (/ 1 (pow alpha 3)))) (* 16 (/ 1 (pow alpha 2))))) 1) beta)) (* 1/2 (- (* 10 (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 36 (/ 1 (pow alpha 3))))))) beta)) (* 1/2 (- (* 14 (/ 1 (pow alpha 3))) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 3))))
(* 1/2 (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3)))
(/ (+ (* 1/2 (* alpha (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (* 1/2 (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)))) (pow alpha 3))
(/ (+ (* 1/2 (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4))) (* alpha (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))))) (pow alpha 3))
(/ (+ (* 1/2 (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4))) (* alpha (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha beta)))))) (pow alpha 3))
beta
(+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))
(+ beta (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))))
(+ beta (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (+ (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))) (* 1/2 (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))))))
beta
(+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))
(+ beta (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha)))
(+ beta (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* 1/2 (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) alpha))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha)))
(* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))))
(+ (* 1/2 (* beta (- (* 16 (/ 1 (pow alpha 2))) (+ (* 6 (/ 1 alpha)) (* 40 (/ 1 (pow alpha 3))))))) (* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3)))))))
(+ (* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3)))))) (* beta (+ (* 1/2 (* beta (- (* 10 (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 36 (/ 1 (pow alpha 3))))))) (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (+ (* 6 (/ 1 alpha)) (* 40 (/ 1 (pow alpha 3)))))))))
(+ (* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3)))))) (* beta (+ (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (+ (* 6 (/ 1 alpha)) (* 40 (/ 1 (pow alpha 3)))))) (* beta (+ (* 1/2 (* beta (- (* 2 (/ 1 (pow alpha 2))) (* 14 (/ 1 (pow alpha 3)))))) (* 1/2 (- (* 10 (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 36 (/ 1 (pow alpha 3)))))))))))
(* -1 (/ (pow beta 4) (pow alpha 3)))
(* (pow beta 4) (- (* 1/2 (/ (- (* 2 (/ 1 (pow alpha 2))) (* 14 (/ 1 (pow alpha 3)))) beta)) (/ 1 (pow alpha 3))))
(* (pow beta 4) (- (+ (* 1/2 (/ (- (* 2 (/ 1 (pow alpha 2))) (* 14 (/ 1 (pow alpha 3)))) beta)) (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 36 (/ 1 (pow alpha 3))))) (pow beta 2)))) (/ 1 (pow alpha 3))))
(* (pow beta 4) (- (+ (* 1/2 (/ (- (* 2 (/ 1 (pow alpha 2))) (* 14 (/ 1 (pow alpha 3)))) beta)) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 36 (/ 1 (pow alpha 3))))) (pow beta 2))) (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (+ (* 6 (/ 1 alpha)) (* 40 (/ 1 (pow alpha 3))))) (pow beta 3))))) (/ 1 (pow alpha 3))))
(* -1 (/ (pow beta 4) (pow alpha 3)))
(* (pow beta 4) (- (* -1/2 (/ (- (* 14 (/ 1 (pow alpha 3))) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 3))))
(* (pow beta 4) (- (* -1 (/ (+ (* -1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 36 (/ 1 (pow alpha 3))))) beta)) (* 1/2 (- (* 14 (/ 1 (pow alpha 3))) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 3))))
(* (pow beta 4) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* 6 (/ 1 alpha)) (* 40 (/ 1 (pow alpha 3)))) (* 16 (/ 1 (pow alpha 2)))) beta)) (* 1/2 (- (* 10 (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 36 (/ 1 (pow alpha 3))))))) beta)) (* 1/2 (- (* 14 (/ 1 (pow alpha 3))) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 3))))
(* 1/2 (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3)))
(/ (+ (* 1/2 (* alpha (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (* 1/2 (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)))) (pow alpha 3))
(/ (+ (* 1/2 (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4))) (* alpha (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))))) (pow alpha 3))
(/ (+ (* 1/2 (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4))) (* alpha (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))))) (pow alpha 3))
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (+ (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 2))))) alpha)
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (+ (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 2))))) alpha)
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* 1/2 (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) alpha))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* 1/2 (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) alpha))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha))
-1
(- (/ alpha (+ 2 beta)) 1)
(- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1)
(- (* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) 1)
(* -1 (/ (+ 2 beta) alpha))
(/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)
(/ (- (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha))))) alpha)
(/ (- (/ (pow (+ 2 beta) 4) (pow alpha 3)) (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) alpha)
(* -1 (/ (+ 2 beta) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha)))) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 3) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 4) alpha)) (pow (+ 2 beta) 3)) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))
(- (/ alpha (+ 2 alpha)) 1)
(- (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha))) 1)
(- (+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)
(- (+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)
-1
(- (/ alpha beta) 1)
(- (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta)) 1)
(- (+ (/ alpha beta) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2))))
-1
(- (/ alpha beta) 1)
(- (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1)
(- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) 1)
(/ alpha (+ 2 beta))
(* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta))))
(* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
(* alpha (+ (* alpha (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 4))) (/ 1 (pow (+ 2 beta) 3)))) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta))))
1
(+ 1 (* -1 (/ (+ 2 beta) alpha)))
(- (+ 1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha)))
(- (+ 1 (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
1
(+ 1 (* -1 (/ (+ 2 beta) alpha)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* -1 (+ 2 beta))) alpha)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 beta) 3) alpha)) (* -1 (pow (+ 2 beta) 2))) alpha)) (* -1 (+ 2 beta))) alpha)))
(/ alpha (+ 2 alpha))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha)))
(+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
(+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
(/ alpha beta)
(/ (+ alpha (* -1 (/ (* alpha (+ 2 alpha)) beta))) beta)
(/ (- (+ alpha (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) beta)
(/ (- (+ alpha (* -1 (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta))) beta)
(/ alpha beta)
(* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 3)) beta) (* alpha (pow (+ 2 alpha) 2))) beta)) (* alpha (+ 2 alpha))) beta))) beta))
(* -1 (+ 1 (/ alpha (+ 2 alpha))))
(- (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (+ 1 (/ alpha (+ 2 alpha))))
(- (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (+ 1 (/ alpha (+ 2 alpha))))
(- (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (+ 1 (/ alpha (+ 2 alpha))))
(* -1 (/ (+ 2 (* 2 alpha)) beta))
(/ (- (/ (* alpha (+ 2 alpha)) beta) (+ 2 (+ (* -1 (/ (pow (+ 2 alpha) 2) beta)) (* 2 alpha)))) beta)
(/ (- (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) (+ 2 (+ (* -1 (/ (pow (+ 2 alpha) 2) beta)) (+ (* 2 alpha) (/ (pow (+ 2 alpha) 3) (pow beta 2)))))) beta)
(/ (- (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (+ (/ (* alpha (+ 2 alpha)) beta) (/ (* alpha (pow (+ 2 alpha) 3)) (pow beta 3)))) (+ 2 (+ (* -1 (/ (pow (+ 2 alpha) 2) beta)) (+ (* -1 (/ (pow (+ 2 alpha) 4) (pow beta 3))) (+ (* 2 alpha) (/ (pow (+ 2 alpha) 3) (pow beta 2))))))) beta)
(/ (- (* -1 alpha) (+ 2 alpha)) beta)
(* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))
(* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))
(* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1 (/ (+ (* -1 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) beta))
(- (/ beta (+ 2 beta)) 1)
(- (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) 1)
(- (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) 1)
(- (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) 1)
-2
(- (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha))) 2)
(- (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (* 2 (/ 1 alpha)))) (+ 2 (/ (* beta (+ 2 beta)) (pow alpha 2))))
(- (+ (* -1 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (+ (* 2 (/ beta alpha)) (+ (* 2 (/ 1 alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 3))))) (+ 2 (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 3))) (/ (* beta (+ 2 beta)) (pow alpha 2)))))
-2
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 2)
(- (* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha)) 2)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) 2)
(- (* 8 (/ 1 (pow alpha 2))) (* 16 (/ 1 (pow alpha 3))))
(- (+ (* 8 (/ 1 (pow alpha 2))) (* beta (- (* 16 (/ 1 (pow alpha 2))) (* 40 (/ 1 (pow alpha 3)))))) (* 16 (/ 1 (pow alpha 3))))
(- (+ (* 8 (/ 1 (pow alpha 2))) (* beta (- (+ (* 16 (/ 1 (pow alpha 2))) (* beta (- (* 10 (/ 1 (pow alpha 2))) (* 36 (/ 1 (pow alpha 3)))))) (* 40 (/ 1 (pow alpha 3)))))) (* 16 (/ 1 (pow alpha 3))))
(- (+ (* 8 (/ 1 (pow alpha 2))) (* beta (- (+ (* 16 (/ 1 (pow alpha 2))) (* beta (- (+ (* 10 (/ 1 (pow alpha 2))) (* beta (- (* 2 (/ 1 (pow alpha 2))) (* 14 (/ 1 (pow alpha 3)))))) (* 36 (/ 1 (pow alpha 3)))))) (* 40 (/ 1 (pow alpha 3)))))) (* 16 (/ 1 (pow alpha 3))))
(* -2 (/ (pow beta 4) (pow alpha 3)))
(* (pow beta 4) (- (/ 2 (* (pow alpha 2) beta)) (+ (* 2 (/ 1 (pow alpha 3))) (/ 14 (* (pow alpha 3) beta)))))
(* (pow beta 4) (- (+ (* 10 (/ 1 (* (pow alpha 2) (pow beta 2)))) (/ 2 (* (pow alpha 2) beta))) (+ (* 2 (/ 1 (pow alpha 3))) (+ (* 36 (/ 1 (* (pow alpha 3) (pow beta 2)))) (/ 14 (* (pow alpha 3) beta))))))
(* (pow beta 4) (- (+ (* 10 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 2 (* (pow alpha 2) beta)) (/ 16 (* (pow alpha 2) (pow beta 3))))) (+ (* 2 (/ 1 (pow alpha 3))) (+ (* 36 (/ 1 (* (pow alpha 3) (pow beta 2)))) (+ (/ 14 (* (pow alpha 3) beta)) (/ 40 (* (pow alpha 3) (pow beta 3))))))))
(* -2 (/ (pow beta 4) (pow alpha 3)))
(* (pow beta 4) (- (* -1 (/ (- (* 14 (/ 1 (pow alpha 3))) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 2 (/ 1 (pow alpha 3)))))
(* (pow beta 4) (- (* -1 (/ (- (+ (* -1 (/ (- (* 10 (/ 1 (pow alpha 2))) (* 36 (/ 1 (pow alpha 3)))) beta)) (* 14 (/ 1 (pow alpha 3)))) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 2 (/ 1 (pow alpha 3)))))
(* (pow beta 4) (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 40 (/ 1 (pow alpha 3))) (* 16 (/ 1 (pow alpha 2)))) beta)) (* 10 (/ 1 (pow alpha 2)))) (* 36 (/ 1 (pow alpha 3)))) beta)) (* 14 (/ 1 (pow alpha 3)))) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 2 (/ 1 (pow alpha 3)))))
(/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))
(/ (- (+ (* -1 (* beta (pow (+ 2 beta) 3))) (* alpha (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow (+ 2 beta) 4)) (pow alpha 3))
(/ (- (+ (* -1 (* beta (pow (+ 2 beta) 3))) (* alpha (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow (+ 2 beta) 4)) (pow alpha 3))
(/ (- (+ (* -1 (* beta (pow (+ 2 beta) 3))) (* alpha (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow (+ 2 beta) 4)) (pow alpha 3))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (- (+ (* -1 (/ (* beta (pow (+ 2 beta) 3)) alpha)) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (/ (pow (+ 2 beta) 4) alpha)) (pow alpha 2))
(/ (- (+ (* -1 (/ (* beta (pow (+ 2 beta) 3)) alpha)) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (/ (pow (+ 2 beta) 4) alpha)) (pow alpha 2))
(/ (- (+ (* -1 (/ (* beta (pow (+ 2 beta) 3)) alpha)) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (/ (pow (+ 2 beta) 4) alpha)) (pow alpha 2))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (- (+ (* -1 (/ (* beta (pow (+ 2 beta) 3)) alpha)) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (/ (pow (+ 2 beta) 4) alpha)) (pow alpha 2))
(/ (- (+ (* -1 (/ (* beta (pow (+ 2 beta) 3)) alpha)) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (/ (pow (+ 2 beta) 4) alpha)) (pow alpha 2))
(/ (- (+ (* -1 (/ (* beta (pow (+ 2 beta) 3)) alpha)) (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (/ (pow (+ 2 beta) 4) alpha)) (pow alpha 2))
(/ -16 (pow alpha 3))
(- (* -40 (/ beta (pow alpha 3))) (* 16 (/ 1 (pow alpha 3))))
(- (* beta (- (* -36 (/ beta (pow alpha 3))) (* 40 (/ 1 (pow alpha 3))))) (* 16 (/ 1 (pow alpha 3))))
(- (* beta (- (* beta (- (* -14 (/ beta (pow alpha 3))) (* 36 (/ 1 (pow alpha 3))))) (* 40 (/ 1 (pow alpha 3))))) (* 16 (/ 1 (pow alpha 3))))
(* -2 (/ (pow beta 4) (pow alpha 3)))
(* -1 (* (pow beta 4) (+ (* 14 (/ 1 (* (pow alpha 3) beta))) (* 2 (/ 1 (pow alpha 3))))))
(* (pow beta 4) (- (* -1 (/ (+ (* 14 (/ 1 (pow alpha 3))) (* 36 (/ 1 (* (pow alpha 3) beta)))) beta)) (* 2 (/ 1 (pow alpha 3)))))
(* (pow beta 4) (- (* -1 (/ (+ (* 36 (/ 1 (pow alpha 3))) (* 40 (/ 1 (* (pow alpha 3) beta)))) (pow beta 2))) (+ (* 2 (/ 1 (pow alpha 3))) (/ 14 (* (pow alpha 3) beta)))))
(* -2 (/ (pow beta 4) (pow alpha 3)))
(* -1 (* (pow beta 4) (+ (* 14 (/ 1 (* (pow alpha 3) beta))) (* 2 (/ 1 (pow alpha 3))))))
(* (pow beta 4) (- (* -1 (/ (+ (* 36 (/ 1 (* (pow alpha 3) beta))) (* 14 (/ 1 (pow alpha 3)))) beta)) (* 2 (/ 1 (pow alpha 3)))))
(* (pow beta 4) (- (* -1 (/ (+ (* 14 (/ 1 (pow alpha 3))) (+ (/ 36 (* (pow alpha 3) beta)) (/ 40 (* (pow alpha 3) (pow beta 2))))) beta)) (* 2 (/ 1 (pow alpha 3)))))
(/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))
(/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))
(/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))
(/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))
(/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))
(/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))
(/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))
(/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))
(/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))
(/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))
(/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))
(/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))
(/ 8 (pow alpha 2))
(+ (* 16 (/ beta (pow alpha 2))) (* 8 (/ 1 (pow alpha 2))))
(+ (* beta (+ (* 10 (/ beta (pow alpha 2))) (* 16 (/ 1 (pow alpha 2))))) (* 8 (/ 1 (pow alpha 2))))
(+ (* beta (+ (* beta (+ (* 2 (/ beta (pow alpha 2))) (* 10 (/ 1 (pow alpha 2))))) (* 16 (/ 1 (pow alpha 2))))) (* 8 (/ 1 (pow alpha 2))))
(* 2 (/ (pow beta 3) (pow alpha 2)))
(* (pow beta 3) (+ (* 10 (/ 1 (* (pow alpha 2) beta))) (* 2 (/ 1 (pow alpha 2)))))
(* (pow beta 3) (+ (* 2 (/ 1 (pow alpha 2))) (+ (/ 10 (* (pow alpha 2) beta)) (/ 16 (* (pow alpha 2) (pow beta 2))))))
(* (pow beta 3) (+ (* 16 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 8 (/ 1 (* (pow alpha 2) (pow beta 3)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 10 (* (pow alpha 2) beta))))))
(* 2 (/ (pow beta 3) (pow alpha 2)))
(* (pow beta 3) (+ (* 10 (/ 1 (* (pow alpha 2) beta))) (* 2 (/ 1 (pow alpha 2)))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* 16 (/ 1 (* (pow alpha 2) beta))) (* 10 (/ 1 (pow alpha 2)))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* 10 (/ 1 (pow alpha 2))) (+ (/ 8 (* (pow alpha 2) (pow beta 2))) (/ 16 (* (pow alpha 2) beta)))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))

Outputs
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(.f64 #s(literal 1/2 binary64) (+.f64 (.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (.f64 beta (.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (.f64 beta (-.f64 (/.f64 (neg.f64 alpha) (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
(+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) (.f64 beta (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (.f64 beta (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))))) (-.f64 (/.f64 (neg.f64 alpha) (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
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beta
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alpha
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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2
#s(literal 2 binary64)
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alpha
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(* alpha (+ 1 (* 2 (/ 1 alpha))))
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(* alpha (+ 1 (* 2 (/ 1 alpha))))
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alpha
(* alpha (+ 1 (* 2 (/ 1 alpha))))
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(* alpha (+ 1 (* 2 (/ 1 alpha))))
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(* alpha (+ 1 (* 2 (/ 1 alpha))))
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(* -1/2 (/ (- (/ (pow alpha 2) (pow (+ 2 alpha) 2)) 1) (+ 1 (/ alpha (+ 2 alpha)))))
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(* -1/2 (/ (- (* -2 alpha) (+ 4 (* 2 alpha))) (+ 2 (* 2 alpha))))
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(* -1/4 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha))
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(* 1/4 (/ (- (* 2 beta) (* -2 (+ 2 beta))) alpha))
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(* -1 (/ (+ (* -1/2 (/ (- (* -1/2 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* 1/4 (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))) alpha)) (* -1/4 (- (* 2 beta) (* -2 (+ 2 beta))))) alpha))
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(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta)))))) (+ (* -1/2 (* (- (* -1 beta) (+ 2 beta)) (- (* -1/2 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* 1/4 (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))))) (* -1/4 (* (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (- (* 2 beta) (* -2 (+ 2 beta))))))) alpha)) (* 1/2 (- (* -1/2 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* 1/4 (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))))) alpha)) (* -1/4 (- (* 2 beta) (* -2 (+ 2 beta))))) alpha))
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(* 1/2 (/ (- (* 2 beta) (* -2 (+ 2 beta))) alpha))
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(* (pow beta 4) (- (* -1 (/ (+ (* -1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 36 (/ 1 (pow alpha 3))))) beta)) (* 1/2 (- (* 14 (/ 1 (pow alpha 3))) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 3))))
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(* (pow beta 4) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (- (+ (* 6 (/ 1 alpha)) (* 40 (/ 1 (pow alpha 3)))) (* 16 (/ 1 (pow alpha 2))))) 1) beta)) (* 1/2 (- (* 10 (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 36 (/ 1 (pow alpha 3))))))) beta)) (* 1/2 (- (* 14 (/ 1 (pow alpha 3))) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 3))))
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(* 1/2 (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3)))
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(/ (+ (* 1/2 (* alpha (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (* 1/2 (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)))) (pow alpha 3))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 alpha (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))) (-.f64 (neg.f64 (.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (.f64 alpha (.f64 alpha alpha)))
(/ (+ (* 1/2 (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4))) (* alpha (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))))) (pow alpha 3))
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(/ (+ (* 1/2 (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4))) (* alpha (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* alpha (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha beta)))))) (pow alpha 3))
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beta
(+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))
(+.f64 beta (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) alpha))
(+ beta (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2)))))
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(+ beta (+ (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) (+ (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))) (* 1/2 (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))))))
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beta
(+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))
(+.f64 beta (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) alpha))
(+ beta (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha)))
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(+ beta (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta)))) (* 1/2 (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) alpha))) alpha)) (* 1/2 (* (+ 2 beta) (+ 2 (* 2 beta))))) alpha)))
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(* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))))
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(+ (* 1/2 (* beta (- (* 16 (/ 1 (pow alpha 2))) (+ (* 6 (/ 1 alpha)) (* 40 (/ 1 (pow alpha 3))))))) (* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3)))))))
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(+ (* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3)))))) (* beta (+ (* 1/2 (* beta (- (* 10 (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 36 (/ 1 (pow alpha 3))))))) (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (+ (* 6 (/ 1 alpha)) (* 40 (/ 1 (pow alpha 3)))))))))
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(+ (* 1/2 (- (* 8 (/ 1 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3)))))) (* beta (+ (* 1/2 (- (* 16 (/ 1 (pow alpha 2))) (+ (* 6 (/ 1 alpha)) (* 40 (/ 1 (pow alpha 3)))))) (* beta (+ (* 1/2 (* beta (- (* 2 (/ 1 (pow alpha 2))) (* 14 (/ 1 (pow alpha 3)))))) (* 1/2 (- (* 10 (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 36 (/ 1 (pow alpha 3)))))))))))
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(* -1 (/ (pow beta 4) (pow alpha 3)))
(/.f64 (.f64 #s(literal -1 binary64) (pow.f64 beta #s(literal 4 binary64))) (.f64 alpha (*.f64 alpha alpha)))
(* (pow beta 4) (- (* 1/2 (/ (- (* 2 (/ 1 (pow alpha 2))) (* 14 (/ 1 (pow alpha 3)))) beta)) (/ 1 (pow alpha 3))))
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(* (pow beta 4) (- (+ (* 1/2 (/ (- (* 2 (/ 1 (pow alpha 2))) (* 14 (/ 1 (pow alpha 3)))) beta)) (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 36 (/ 1 (pow alpha 3))))) (pow beta 2)))) (/ 1 (pow alpha 3))))
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(* (pow beta 4) (- (+ (* 1/2 (/ (- (* 2 (/ 1 (pow alpha 2))) (* 14 (/ 1 (pow alpha 3)))) beta)) (+ (* 1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 36 (/ 1 (pow alpha 3))))) (pow beta 2))) (* 1/2 (/ (- (* 16 (/ 1 (pow alpha 2))) (+ (* 6 (/ 1 alpha)) (* 40 (/ 1 (pow alpha 3))))) (pow beta 3))))) (/ 1 (pow alpha 3))))
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(* -1 (/ (pow beta 4) (pow alpha 3)))
(/.f64 (.f64 #s(literal -1 binary64) (pow.f64 beta #s(literal 4 binary64))) (.f64 alpha (*.f64 alpha alpha)))
(* (pow beta 4) (- (* -1/2 (/ (- (* 14 (/ 1 (pow alpha 3))) (* 2 (/ 1 (pow alpha 2)))) beta)) (/ 1 (pow alpha 3))))
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(* (pow beta 4) (- (* -1 (/ (+ (* -1/2 (/ (- (* 10 (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 36 (/ 1 (pow alpha 3))))) beta)) (* 1/2 (- (* 14 (/ 1 (pow alpha 3))) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 3))))
(.f64 (pow.f64 beta #s(literal 4 binary64)) (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 10 binary64) (.f64 alpha alpha)) (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 36 binary64) (.f64 alpha (.f64 alpha alpha)))))) beta) (.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 14 binary64) (.f64 alpha (.f64 alpha alpha))) (/.f64 #s(literal 2 binary64) (.f64 alpha alpha))))) beta)) (/.f64 #s(literal 1 binary64) (.f64 alpha (*.f64 alpha alpha)))))
(* (pow beta 4) (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* 6 (/ 1 alpha)) (* 40 (/ 1 (pow alpha 3)))) (* 16 (/ 1 (pow alpha 2)))) beta)) (* 1/2 (- (* 10 (/ 1 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 36 (/ 1 (pow alpha 3))))))) beta)) (* 1/2 (- (* 14 (/ 1 (pow alpha 3))) (* 2 (/ 1 (pow alpha 2)))))) beta)) (/ 1 (pow alpha 3))))
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(* 1/2 (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3)))
(.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (neg.f64 (.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (.f64 alpha (.f64 alpha alpha))))
(/ (+ (* 1/2 (* alpha (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (* 1/2 (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)))) (pow alpha 3))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 alpha (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))) (-.f64 (neg.f64 (.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (.f64 alpha (.f64 alpha alpha)))
(/ (+ (* 1/2 (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4))) (* alpha (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))))) (pow alpha 3))
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(/ (+ (* 1/2 (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4))) (* alpha (+ (* -1/2 (* alpha (* (+ 2 beta) (+ 2 (* 2 beta))))) (* 1/2 (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))))) (pow alpha 3))
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(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) alpha)
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha))) alpha)
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(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (+ (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 2))))) alpha)
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(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (+ (* 1/2 (/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) alpha)) (* 1/2 (/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 2))))) alpha)
(/.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) alpha)) (/.f64 (-.f64 (neg.f64 (.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (*.f64 alpha alpha))))) alpha)
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
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(/ (- (+ (* -1 (* beta (pow (+ 2 beta) 3))) (* alpha (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow (+ 2 beta) 4)) (pow alpha 3))
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(/ (- (+ (* -1 (* beta (pow (+ 2 beta) 3))) (* alpha (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))))) (pow (+ 2 beta) 4)) (pow alpha 3))
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(* (pow beta 4) (- (* -1 (/ (+ (* 14 (/ 1 (pow alpha 3))) (* 36 (/ 1 (* (pow alpha 3) beta)))) beta)) (* 2 (/ 1 (pow alpha 3)))))
(.f64 (pow.f64 beta #s(literal 4 binary64)) (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 14 binary64) (.f64 alpha (.f64 alpha alpha))) (/.f64 (/.f64 #s(literal 36 binary64) (.f64 alpha (.f64 alpha alpha))) beta)) beta)) (/.f64 #s(literal 2 binary64) (.f64 alpha (*.f64 alpha alpha)))))
(* (pow beta 4) (- (* -1 (/ (+ (* 36 (/ 1 (pow alpha 3))) (* 40 (/ 1 (* (pow alpha 3) beta)))) (pow beta 2))) (+ (* 2 (/ 1 (pow alpha 3))) (/ 14 (* (pow alpha 3) beta)))))
(.f64 (pow.f64 beta #s(literal 4 binary64)) (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 36 binary64) (.f64 alpha (.f64 alpha alpha))) (/.f64 #s(literal 40 binary64) (.f64 beta (.f64 alpha (.f64 alpha alpha))))) (.f64 beta beta))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 alpha (.f64 alpha alpha))) (/.f64 (/.f64 #s(literal 14 binary64) (.f64 alpha (*.f64 alpha alpha))) beta))))
(* -2 (/ (pow beta 4) (pow alpha 3)))
(/.f64 (.f64 #s(literal -2 binary64) (pow.f64 beta #s(literal 4 binary64))) (.f64 alpha (*.f64 alpha alpha)))
(* -1 (* (pow beta 4) (+ (* 14 (/ 1 (* (pow alpha 3) beta))) (* 2 (/ 1 (pow alpha 3))))))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 beta #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 alpha (.f64 alpha alpha))) (/.f64 (/.f64 #s(literal 14 binary64) (.f64 alpha (.f64 alpha alpha))) beta)))
(* (pow beta 4) (- (* -1 (/ (+ (* 36 (/ 1 (* (pow alpha 3) beta))) (* 14 (/ 1 (pow alpha 3)))) beta)) (* 2 (/ 1 (pow alpha 3)))))
(.f64 (pow.f64 beta #s(literal 4 binary64)) (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 14 binary64) (.f64 alpha (.f64 alpha alpha))) (/.f64 (/.f64 #s(literal 36 binary64) (.f64 alpha (.f64 alpha alpha))) beta)) beta)) (/.f64 #s(literal 2 binary64) (.f64 alpha (*.f64 alpha alpha)))))
(* (pow beta 4) (- (* -1 (/ (+ (* 14 (/ 1 (pow alpha 3))) (+ (/ 36 (* (pow alpha 3) beta)) (/ 40 (* (pow alpha 3) (pow beta 2))))) beta)) (* 2 (/ 1 (pow alpha 3)))))
(.f64 (pow.f64 beta #s(literal 4 binary64)) (-.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 14 binary64) (.f64 alpha (.f64 alpha alpha))) (+.f64 (/.f64 (/.f64 #s(literal 36 binary64) (.f64 alpha (.f64 alpha alpha))) beta) (/.f64 (/.f64 #s(literal 40 binary64) (.f64 alpha (.f64 alpha alpha))) (.f64 beta beta))))) beta) (/.f64 #s(literal 2 binary64) (.f64 alpha (*.f64 alpha alpha)))))
(/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))
(/.f64 (-.f64 (neg.f64 (.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (.f64 alpha (*.f64 alpha alpha)))
(/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))
(/.f64 (-.f64 (neg.f64 (.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (.f64 alpha (*.f64 alpha alpha)))
(/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))
(/.f64 (-.f64 (neg.f64 (.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (.f64 alpha (*.f64 alpha alpha)))
(/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))
(/.f64 (-.f64 (neg.f64 (.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (.f64 alpha (*.f64 alpha alpha)))
(/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))
(/.f64 (-.f64 (neg.f64 (.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (.f64 alpha (*.f64 alpha alpha)))
(/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))
(/.f64 (-.f64 (neg.f64 (.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (.f64 alpha (*.f64 alpha alpha)))
(/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))
(/.f64 (-.f64 (neg.f64 (.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (.f64 alpha (*.f64 alpha alpha)))
(/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))
(/.f64 (-.f64 (neg.f64 (.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (.f64 alpha (*.f64 alpha alpha)))
(/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))
(/.f64 (-.f64 (neg.f64 (.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (.f64 alpha (*.f64 alpha alpha)))
(/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))
(/.f64 (-.f64 (neg.f64 (.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (.f64 alpha (*.f64 alpha alpha)))
(/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))
(/.f64 (-.f64 (neg.f64 (.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (.f64 alpha (*.f64 alpha alpha)))
(/ (- (* -1 (* beta (pow (+ 2 beta) 3))) (pow (+ 2 beta) 4)) (pow alpha 3))
(/.f64 (-.f64 (neg.f64 (.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (.f64 alpha (*.f64 alpha alpha)))
(/ 8 (pow alpha 2))
(/.f64 #s(literal 8 binary64) (*.f64 alpha alpha))
(+ (* 16 (/ beta (pow alpha 2))) (* 8 (/ 1 (pow alpha 2))))
(+.f64 (/.f64 #s(literal 8 binary64) (.f64 alpha alpha)) (/.f64 (.f64 #s(literal 16 binary64) beta) (*.f64 alpha alpha)))
(+ (* beta (+ (* 10 (/ beta (pow alpha 2))) (* 16 (/ 1 (pow alpha 2))))) (* 8 (/ 1 (pow alpha 2))))
(+.f64 (/.f64 #s(literal 8 binary64) (.f64 alpha alpha)) (.f64 beta (+.f64 (/.f64 #s(literal 16 binary64) (.f64 alpha alpha)) (/.f64 (.f64 #s(literal 10 binary64) beta) (*.f64 alpha alpha)))))
(+ (* beta (+ (* beta (+ (* 2 (/ beta (pow alpha 2))) (* 10 (/ 1 (pow alpha 2))))) (* 16 (/ 1 (pow alpha 2))))) (* 8 (/ 1 (pow alpha 2))))
(+.f64 (/.f64 #s(literal 8 binary64) (.f64 alpha alpha)) (.f64 beta (+.f64 (/.f64 #s(literal 16 binary64) (.f64 alpha alpha)) (.f64 beta (+.f64 (/.f64 #s(literal 10 binary64) (.f64 alpha alpha)) (/.f64 (.f64 #s(literal 2 binary64) beta) (*.f64 alpha alpha)))))))
(* 2 (/ (pow beta 3) (pow alpha 2)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 beta (.f64 beta beta))) (.f64 alpha alpha))
(* (pow beta 3) (+ (* 10 (/ 1 (* (pow alpha 2) beta))) (* 2 (/ 1 (pow alpha 2)))))
(.f64 (.f64 beta (.f64 beta beta)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 alpha alpha)) (/.f64 (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha)) beta)))
(* (pow beta 3) (+ (* 2 (/ 1 (pow alpha 2))) (+ (/ 10 (* (pow alpha 2) beta)) (/ 16 (* (pow alpha 2) (pow beta 2))))))
(.f64 (.f64 beta (.f64 beta beta)) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 alpha alpha)) (/.f64 (/.f64 #s(literal 10 binary64) (.f64 alpha alpha)) beta)) (/.f64 (/.f64 #s(literal 16 binary64) (.f64 alpha alpha)) (*.f64 beta beta))))
(* (pow beta 3) (+ (* 16 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (* 8 (/ 1 (* (pow alpha 2) (pow beta 3)))) (+ (* 2 (/ 1 (pow alpha 2))) (/ 10 (* (pow alpha 2) beta))))))
(.f64 (.f64 beta (.f64 beta beta)) (+.f64 (/.f64 (/.f64 #s(literal 16 binary64) (.f64 alpha alpha)) (.f64 beta beta)) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 beta (.f64 beta beta)) (.f64 alpha alpha))) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 alpha alpha)) (/.f64 (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha)) beta)))))
(* 2 (/ (pow beta 3) (pow alpha 2)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 beta (.f64 beta beta))) (.f64 alpha alpha))
(* (pow beta 3) (+ (* 10 (/ 1 (* (pow alpha 2) beta))) (* 2 (/ 1 (pow alpha 2)))))
(.f64 (.f64 beta (.f64 beta beta)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 alpha alpha)) (/.f64 (/.f64 #s(literal 10 binary64) (*.f64 alpha alpha)) beta)))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* 16 (/ 1 (* (pow alpha 2) beta))) (* 10 (/ 1 (pow alpha 2)))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(.f64 (.f64 #s(literal -1 binary64) (.f64 beta (.f64 beta beta))) (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 10 binary64) (.f64 alpha alpha)) (/.f64 (/.f64 #s(literal 16 binary64) (.f64 alpha alpha)) beta)) beta)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))))
(* -1 (* (pow beta 3) (- (* -1 (/ (+ (* 10 (/ 1 (pow alpha 2))) (+ (/ 8 (* (pow alpha 2) (pow beta 2))) (/ 16 (* (pow alpha 2) beta)))) beta)) (* 2 (/ 1 (pow alpha 2))))))
(.f64 (.f64 #s(literal -1 binary64) (.f64 beta (.f64 beta beta))) (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 10 binary64) (.f64 alpha alpha)) (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (.f64 alpha alpha)) (.f64 beta beta)) (/.f64 (/.f64 #s(literal 16 binary64) (.f64 alpha alpha)) beta))) beta)) (/.f64 #s(literal 2 binary64) (*.f64 alpha alpha))))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) (.f64 alpha alpha))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) (.f64 alpha alpha))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) (.f64 alpha alpha))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) (.f64 alpha alpha))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) (.f64 alpha alpha))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) (.f64 alpha alpha))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) (.f64 alpha alpha))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) (.f64 alpha alpha))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) (.f64 alpha alpha))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) (.f64 alpha alpha))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) (.f64 alpha alpha))
(/ (* (pow (+ 2 beta) 2) (+ 2 (* 2 beta))) (pow alpha 2))
(/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) (.f64 alpha alpha))

eval233.0ms (2.2%)

Compiler: Compiled 86345 to 6011 computations (93% saved)

prune249.0ms (2.3%)

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	1402	12	1414
Fresh	4	7	11
Picked	2	3	5
Done	0	1	1
Total	1408	23	1431

Accuracy

100.0%

Counts

1431 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.9%	(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (/.f64 (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (-.f64 beta alpha)))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
	54.4%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64))
▶	28.9%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal -2 binary64) (neg.f64 beta)) alpha)) #s(literal 2 binary64))
✓	75.9%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
▶	52.3%	(/.f64 (-.f64 (.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
	26.0%	(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))))) alpha)) alpha)) (-.f64 #s(literal 0 binary64) alpha))
	25.2%	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64))
✓	54.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
▶	22.7%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
✓	75.2%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	73.0%	(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
	26.8%	(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) alpha)) alpha)
	25.9%	(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha alpha))))) alpha)
	25.1%	(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 alpha alpha)) (/.f64 #s(literal -16 binary64) (.f64 alpha (*.f64 alpha alpha)))))))) alpha)
	25.0%	(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 alpha alpha)) (-.f64 (/.f64 (.f64 #s(literal -40 binary64) beta) (.f64 alpha (.f64 alpha alpha))) (/.f64 #s(literal 16 binary64) (.f64 alpha (.f64 alpha alpha))))))))) alpha)
	28.9%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
▶	75.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
	24.1%	(/.f64 #s(literal 1 binary64) alpha)
	51.9%	(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
	28.8%	(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
	22.9%	(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal -4 binary64)) alpha)) #s(literal -2 binary64)) alpha)) #s(literal -1 binary64)) alpha))
✓	33.7%	#s(literal 1 binary64)
▶	53.2%	#s(literal 1/2 binary64)

Compiler

Compiled 982 to 532 computations (45.8% saved)

simplify168.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	192	(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))
✓	cost-diff	320	(.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))
✓	cost-diff	320	(-.f64 (.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))
✓	cost-diff	320	(/.f64 (-.f64 (.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
✓	cost-diff	64	(+.f64 #s(literal -2 binary64) (neg.f64 beta))
✓	cost-diff	64	(/.f64 (+.f64 #s(literal -2 binary64) (neg.f64 beta)) alpha)
✓	cost-diff	64	(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal -2 binary64) (neg.f64 beta)) alpha))
✓	cost-diff	64	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal -2 binary64) (neg.f64 beta)) alpha)) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) alpha)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
✓	cost-diff	0	(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓	cost-diff	0	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))

Rules

2206×	`-lowering-.f32`
2206×	`-lowering-.f64`
1232×	`--lowering--.f32`
1232×	`--lowering--.f64`
1200×	`+-lowering-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	275
1	88	257
2	248	256
3	658	252
4	1827	242
5	6723	242
0	8177	242

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1)))
1
(/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1))
2
(+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1)
(/ (- beta alpha) (+ beta (+ alpha 2)))
(- beta alpha)
beta
alpha
(+ beta (+ alpha 2))
(+ alpha 2)
1/2
(/ (- 1 (/ 2 alpha)) alpha)
(- 1 (/ 2 alpha))
1
(/ 2 alpha)
2
alpha
(/ (- (/ beta (+ beta (+ alpha 2))) (/ (+ -2 (neg beta)) alpha)) 2)
(- (/ beta (+ beta (+ alpha 2))) (/ (+ -2 (neg beta)) alpha))
(/ beta (+ beta (+ alpha 2)))
beta
(+ beta (+ alpha 2))
(+ alpha 2)
alpha
2
(/ (+ -2 (neg beta)) alpha)
(+ -2 (neg beta))
-2
(neg beta)
(/ (- (* beta (+ (/ 1 (+ alpha 2)) (/ (neg beta) (* (+ alpha 2) (+ alpha 2))))) (+ (/ alpha (+ beta (+ alpha 2))) -1)) 2)
(- (* beta (+ (/ 1 (+ alpha 2)) (/ (neg beta) (* (+ alpha 2) (+ alpha 2))))) (+ (/ alpha (+ beta (+ alpha 2))) -1))
(* beta (+ (/ 1 (+ alpha 2)) (/ (neg beta) (* (+ alpha 2) (+ alpha 2)))))
beta
(+ (/ 1 (+ alpha 2)) (/ (neg beta) (* (+ alpha 2) (+ alpha 2))))
(/ 1 (+ alpha 2))
1
(+ alpha 2)
alpha
2
(/ (neg beta) (* (+ alpha 2) (+ alpha 2)))
(neg beta)
(* (+ alpha 2) (+ alpha 2))
(+ (/ alpha (+ beta (+ alpha 2))) -1)
(/ alpha (+ beta (+ alpha 2)))
(+ beta (+ alpha 2))
-1

Outputs
(/ 1 (/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
1
#s(literal 1 binary64)
(/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
2
#s(literal 2 binary64)
(+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1)
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(/ (- beta alpha) (+ beta (+ alpha 2)))
(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
(- beta alpha)
(-.f64 beta alpha)
beta
alpha
(+ beta (+ alpha 2))
(+.f64 #s(literal 2 binary64) (+.f64 beta alpha))
(+ alpha 2)
(+.f64 #s(literal 2 binary64) alpha)
1/2
#s(literal 1/2 binary64)
(/ (- 1 (/ 2 alpha)) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(- 1 (/ 2 alpha))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
1
#s(literal 1 binary64)
(/ 2 alpha)
(/.f64 #s(literal 2 binary64) alpha)
2
#s(literal 2 binary64)
alpha
(/ (- (/ beta (+ beta (+ alpha 2))) (/ (+ -2 (neg beta)) alpha)) 2)
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) #s(literal 2 binary64))
(- (/ beta (+ beta (+ alpha 2))) (/ (+ -2 (neg beta)) alpha))
(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
(/ beta (+ beta (+ alpha 2)))
(/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
beta
(+ beta (+ alpha 2))
(+.f64 #s(literal 2 binary64) (+.f64 beta alpha))
(+ alpha 2)
(+.f64 #s(literal 2 binary64) alpha)
alpha
2
#s(literal 2 binary64)
(/ (+ -2 (neg beta)) alpha)
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)
(+ -2 (neg beta))
(-.f64 #s(literal -2 binary64) beta)
-2
#s(literal -2 binary64)
(neg beta)
(-.f64 #s(literal 0 binary64) beta)
(/ (- (* beta (+ (/ 1 (+ alpha 2)) (/ (neg beta) (* (+ alpha 2) (+ alpha 2))))) (+ (/ alpha (+ beta (+ alpha 2))) -1)) 2)
(/.f64 (+.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) alpha)))) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal 2 binary64))
(- (* beta (+ (/ 1 (+ alpha 2)) (/ (neg beta) (* (+ alpha 2) (+ alpha 2))))) (+ (/ alpha (+ beta (+ alpha 2))) -1))
(+.f64 (*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) alpha)))) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(* beta (+ (/ 1 (+ alpha 2)) (/ (neg beta) (* (+ alpha 2) (+ alpha 2)))))
(*.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) alpha))))
beta
(+ (/ 1 (+ alpha 2)) (/ (neg beta) (* (+ alpha 2) (+ alpha 2))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) alpha))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))
(/ 1 (+ alpha 2))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))
1
#s(literal 1 binary64)
(+ alpha 2)
(+.f64 #s(literal 2 binary64) alpha)
alpha
2
#s(literal 2 binary64)
(/ (neg beta) (* (+ alpha 2) (+ alpha 2)))
(/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 #s(literal -2 binary64) alpha)))
(neg beta)
(-.f64 #s(literal 0 binary64) beta)
(* (+ alpha 2) (+ alpha 2))
(*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))
(+ (/ alpha (+ beta (+ alpha 2))) -1)
(+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64))
(/ alpha (+ beta (+ alpha 2)))
(/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
(+ beta (+ alpha 2))
(+.f64 #s(literal 2 binary64) (+.f64 beta alpha))
-1
#s(literal -1 binary64)

localize216.0ms (2%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))
✓	accuracy	99.9%	(.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))
✓	accuracy	97.6%	(/.f64 (neg.f64 beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))
✓	accuracy	75.2%	(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal -2 binary64) (neg.f64 beta))
✓	accuracy	100.0%	(neg.f64 beta)
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal -2 binary64) (neg.f64 beta)) alpha)
✓	accuracy	100.0%	(/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) alpha)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))
✓	accuracy	99.8%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
✓	accuracy	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
✓	accuracy	99.9%	(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))
✓	accuracy	75.2%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))

Results

69.0ms	189×	0	valid
49.0ms	57×	1	valid
9.0ms	10×	2	valid

Compiler

Compiled 291 to 33 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-div: 33.0ms (49.5% of total)

ival-add: 10.0ms (15% of total)

ival-sub: 9.0ms (13.5% of total)

backward-pass: 7.0ms (10.5% of total)

ival-mult: 5.0ms (7.5% of total)

ival-neg: 2.0ms (3% of total)

const: 1.0ms (1.5% of total)

series58.0ms (0.5%)

Counts

20 → 408

Calls

Call 1

Inputs
#<alt (/ 1 (/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1)))>
#<alt (/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1))>
#<alt (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1)>
#<alt (/ (- beta alpha) (+ beta (+ alpha 2)))>
#<alt (/ (- 1 (/ 2 alpha)) alpha)>
#<alt (- 1 (/ 2 alpha))>
#<alt (/ 2 alpha)>
#<alt (/ (- (/ beta (+ beta (+ alpha 2))) (/ (+ -2 (neg beta)) alpha)) 2)>
#<alt (- (/ beta (+ beta (+ alpha 2))) (/ (+ -2 (neg beta)) alpha))>
#<alt (/ (+ -2 (neg beta)) alpha)>
#<alt (+ -2 (neg beta))>
#<alt (/ (- (* beta (+ (/ 1 (+ alpha 2)) (/ (neg beta) (* (+ alpha 2) (+ alpha 2))))) (+ (/ alpha (+ beta (+ alpha 2))) -1)) 2)>
#<alt (- (* beta (+ (/ 1 (+ alpha 2)) (/ (neg beta) (* (+ alpha 2) (+ alpha 2))))) (+ (/ alpha (+ beta (+ alpha 2))) -1))>
#<alt (* beta (+ (/ 1 (+ alpha 2)) (/ (neg beta) (* (+ alpha 2) (+ alpha 2)))))>
#<alt (+ (/ 1 (+ alpha 2)) (/ (neg beta) (* (+ alpha 2) (+ alpha 2))))>
#<alt (/ beta (+ beta (+ alpha 2)))>
#<alt (neg beta)>
#<alt (+ (/ alpha (+ beta (+ alpha 2))) -1)>
#<alt (/ (neg beta) (* (+ alpha 2) (+ alpha 2)))>
#<alt (/ 1 (+ alpha 2))>

Outputs
#<alt (* 1/2 (- 1 (/ alpha (+ 2 alpha))))>
#<alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))>
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))>
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))>
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))>
#<alt (* 1/2 (+ 1 (/ beta (+ 2 beta))))>
#<alt (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))>
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))>
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)>
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))>
#<alt (/ 2 (- 1 (/ alpha (+ 2 alpha))))>
#<alt (+ (* -2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (- 1 (/ alpha (+ 2 alpha))) 2))) (* 2 (/ 1 (- 1 (/ alpha (+ 2 alpha))))))>
#<alt (+ (* beta (- (* -1 (* beta (+ (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (* 2 (/ (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2)))))) (* 2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2))))) (* 2 (/ 1 (- 1 (/ alpha (+ 2 alpha))))))>
#<alt (+ (* beta (- (* beta (- (* -1 (* beta (+ (* -2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (* 2 (/ (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (- 1 (/ alpha (+ 2 alpha))))) (* 2 (/ (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))) (pow (- 1 (/ alpha (+ 2 alpha))) 2))))))) (+ (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (* 2 (/ (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2)))))) (* 2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2))))) (* 2 (/ 1 (- 1 (/ alpha (+ 2 alpha))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))) (pow beta 2)))) (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (- (+ 1 (* -1 (/ (+ (* 1/4 (* (+ 2 (* 2 alpha)) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (+ 2 (* 2 alpha)) (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))))) (* 1/2 (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))))) (pow beta 3)))) (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* -1/4 (/ (pow (+ 2 (* 2 alpha)) 2) (pow beta 2))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (* -1/4 (/ (pow (- (* -1 alpha) (+ 2 alpha)) 2) beta))) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) (+ (* -1/4 (/ (* (+ 2 alpha) (pow (- (* -1 alpha) (+ 2 alpha)) 2)) beta)) (* 1/2 (/ (* (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (- (* -1 alpha) (+ 2 alpha))) beta)))) (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2)))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))>
#<alt (/ 2 (+ 1 (/ beta (+ 2 beta))))>
#<alt (+ (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))>
#<alt (+ (* alpha (- (* -1 (* alpha (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))>
#<alt (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -2 (/ (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (/ (* (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))>
#<alt (* 2 (/ alpha (+ 2 (* 2 beta))))>
#<alt (* alpha (+ (* -2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta))))))>
#<alt (* alpha (- (+ (* -1 (/ (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))) (pow alpha 2))) (* 2 (/ 1 (+ 2 (* 2 beta))))) (* 2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2))))))>
#<alt (* alpha (- (+ (* -1 (/ (+ (* -2 (/ (* (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2))))) (pow (+ 2 (* 2 beta)) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))) (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ 2 (* 2 beta)))) (* 2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow (+ 2 (* 2 beta)) 2))))) (pow alpha 3))) (* 2 (/ 1 (+ 2 (* 2 beta))))) (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (* (pow alpha 2) (pow (+ 2 (* 2 beta)) 3)))) (+ (* 2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (* (pow alpha 2) (pow (+ 2 (* 2 beta)) 2))))))))>
#<alt (* -2 (/ alpha (- (* -1 beta) (+ 2 beta))))>
#<alt (* -1 (* alpha (+ (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))>
#<alt (* -1 (* alpha (+ (* -1 (/ (- (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 3))))) (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (pow (- (* -1 beta) (+ 2 beta)) 2)))) alpha)) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))>
#<alt (* -1 (* alpha (+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 3)))) (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (/ (* (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (pow (- (* -1 beta) (+ 2 beta)) 2))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (pow (- (* -1 beta) (+ 2 beta)) 3)))) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* alpha (- (* -1 beta) (+ 2 beta)))))) (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (pow (- (* -1 beta) (+ 2 beta)) 2))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (pow (- (* -1 beta) (+ 2 beta)) 3))))) alpha)) (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (pow (- (* -1 beta) (+ 2 beta)) 2)))) alpha)) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))>
#<alt (- 1 (/ alpha (+ 2 alpha)))>
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#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* beta (- (* -1 beta) 2)) (pow (+ 2 beta) 2)) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (* -1 (/ (- (* beta (- (* -4 beta) 4)) (pow (+ 2 beta) 3)) alpha)) (* beta (- (* -1 beta) 2))) (pow (+ 2 beta) 2)) alpha))) (+ 2 beta)) alpha))>
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* beta (- (+ (* -16 beta) (* 4 beta)) 8)) (pow (+ 2 beta) 4)) alpha)) (* beta (- (* -4 beta) 4))) (pow (+ 2 beta) 3)) alpha)) (* beta (- (* -1 beta) 2))) (pow (+ 2 beta) 2)) alpha))) (+ 2 beta)) alpha))>
#<alt (/ beta (+ 2 alpha))>
#<alt (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))))>
#<alt (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))))>
#<alt (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))))>
#<alt (* -1 (/ (pow beta 2) (pow (+ 2 alpha) 2)))>
#<alt (* (pow beta 2) (- (/ 1 (* beta (+ 2 alpha))) (/ 1 (pow (+ 2 alpha) 2))))>
#<alt (* (pow beta 2) (- (/ 1 (* beta (+ 2 alpha))) (/ 1 (pow (+ 2 alpha) 2))))>
#<alt (* (pow beta 2) (- (/ 1 (* beta (+ 2 alpha))) (/ 1 (pow (+ 2 alpha) 2))))>
#<alt (* -1 (/ (pow beta 2) (pow (+ 2 alpha) 2)))>
#<alt (* (pow beta 2) (- (/ 1 (* beta (+ 2 alpha))) (/ 1 (pow (+ 2 alpha) 2))))>
#<alt (* (pow beta 2) (- (/ 1 (* beta (+ 2 alpha))) (/ 1 (pow (+ 2 alpha) 2))))>
#<alt (* (pow beta 2) (- (/ 1 (* beta (+ 2 alpha))) (/ 1 (pow (+ 2 alpha) 2))))>
#<alt (* beta (+ 1/2 (* -1/4 beta)))>
#<alt (+ (* alpha (* beta (- (* 1/4 beta) 1/4))) (* beta (+ 1/2 (* -1/4 beta))))>
#<alt (+ (* alpha (+ (* alpha (* beta (+ 1/8 (+ (* -1/4 beta) (* 1/16 beta))))) (* beta (- (* 1/4 beta) 1/4)))) (* beta (+ 1/2 (* -1/4 beta))))>
#<alt (+ (* alpha (+ (* alpha (+ (* alpha (* beta (- (+ (* -1 (+ (* -1/4 beta) (* 1/16 beta))) (* -1/16 beta)) 1/16))) (* beta (+ 1/8 (+ (* -1/4 beta) (* 1/16 beta)))))) (* beta (- (* 1/4 beta) 1/4)))) (* beta (+ 1/2 (* -1/4 beta))))>
#<alt (/ beta alpha)>
#<alt (/ (+ beta (/ (* beta (- (* -1 beta) 2)) alpha)) alpha)>
#<alt (/ (+ beta (+ (/ (* beta (+ 4 (* 4 beta))) (pow alpha 2)) (/ (* beta (- (* -1 beta) 2)) alpha))) alpha)>
#<alt (/ (+ beta (+ (/ (* beta (+ 4 (* 4 beta))) (pow alpha 2)) (+ (/ (* beta (- (* -1 beta) 2)) alpha) (/ (* beta (- (+ (* -16 beta) (* 4 beta)) 8)) (pow alpha 3))))) alpha)>
#<alt (/ beta alpha)>
#<alt (* -1 (/ (+ (* -1 beta) (* -1 (/ (* beta (- (* -1 beta) 2)) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 beta) (* -1 (/ (+ (* -1 (/ (* beta (- (* -4 beta) 4)) alpha)) (* beta (- (* -1 beta) 2))) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 beta) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* beta (- (+ (* -16 beta) (* 4 beta)) 8)) alpha)) (* beta (- (* -4 beta) 4))) alpha)) (* beta (- (* -1 beta) 2))) alpha))) alpha))>
#<alt (+ 1/2 (* -1/4 beta))>
#<alt (+ 1/2 (+ (* -1/4 beta) (* alpha (- (* 1/4 beta) 1/4))))>
#<alt (+ 1/2 (+ (* -1/4 beta) (* alpha (- (+ (* 1/4 beta) (* alpha (+ 1/8 (+ (* -1/4 beta) (* 1/16 beta))))) 1/4))))>
#<alt (+ 1/2 (+ (* -1/4 beta) (* alpha (- (+ (* 1/4 beta) (* alpha (+ 1/8 (+ (* -1/4 beta) (+ (* 1/16 beta) (* alpha (- (+ (* -1 (+ (* -1/4 beta) (* 1/16 beta))) (* -1/16 beta)) 1/16))))))) 1/4))))>
#<alt (/ 1 alpha)>
#<alt (/ (- (+ 1 (* -1 (/ beta alpha))) (* 2 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1 (+ (* -1 (/ beta alpha)) (+ (* 4 (/ beta (pow alpha 2))) (/ 4 (pow alpha 2))))) (* 2 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1 (+ (* -16 (/ beta (pow alpha 3))) (+ (* -1 (/ beta alpha)) (+ (* 4 (/ beta (pow alpha 2))) (+ (* 4 (/ beta (pow alpha 3))) (/ 4 (pow alpha 2))))))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)>
#<alt (/ 1 alpha)>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 beta) 2) alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -4 beta) 4) alpha))) 2) alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (* -4 beta) (* -1 (/ (- (+ (* -16 beta) (* 4 beta)) 8) alpha))) 4) alpha))) 2) alpha)) 1) alpha))>
#<alt (/ 1 (+ 2 alpha))>
#<alt (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha)))>
#<alt (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha)))>
#<alt (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha)))>
#<alt (* -1 (/ beta (pow (+ 2 alpha) 2)))>
#<alt (* beta (- (/ 1 (* beta (+ 2 alpha))) (/ 1 (pow (+ 2 alpha) 2))))>
#<alt (* beta (- (/ 1 (* beta (+ 2 alpha))) (/ 1 (pow (+ 2 alpha) 2))))>
#<alt (* beta (- (/ 1 (* beta (+ 2 alpha))) (/ 1 (pow (+ 2 alpha) 2))))>
#<alt (* -1 (/ beta (pow (+ 2 alpha) 2)))>
#<alt (* -1 (* beta (- (/ 1 (pow (+ 2 alpha) 2)) (/ 1 (* beta (+ 2 alpha))))))>
#<alt (* -1 (* beta (- (/ 1 (pow (+ 2 alpha) 2)) (/ 1 (* beta (+ 2 alpha))))))>
#<alt (* -1 (* beta (- (/ 1 (pow (+ 2 alpha) 2)) (/ 1 (* beta (+ 2 alpha))))))>
#<alt (/ beta (+ 2 alpha))>
#<alt (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))))>
#<alt (* beta (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))>
#<alt (* beta (+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 2 alpha) beta)))>
#<alt (- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))>
#<alt (- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (+ 2 alpha) beta)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 2) beta)) (* -1 (+ 2 alpha))) beta)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 3) beta)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1 (+ 2 alpha))) beta)))>
#<alt (/ beta (+ 2 beta))>
#<alt (+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta)))>
#<alt (+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))>
#<alt (+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))>
#<alt (/ beta alpha)>
#<alt (/ (+ beta (* -1 (/ (* beta (+ 2 beta)) alpha))) alpha)>
#<alt (/ (- (+ beta (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha)) alpha)>
#<alt (/ (- (+ beta (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3)))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)>
#<alt (/ beta alpha)>
#<alt (* -1 (/ (+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha)) alpha))>
#<alt (* -1 (/ (+ (* -1 beta) (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 2)) alpha) (* beta (+ 2 beta))) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 3)) alpha) (* beta (pow (+ 2 beta) 2))) alpha)) (* beta (+ 2 beta))) alpha))) alpha))>
#<alt (* -1 beta)>
#<alt (* -1 beta)>
#<alt (* -1 beta)>
#<alt (* -1 beta)>
#<alt (* -1 beta)>
#<alt (* -1 beta)>
#<alt (* -1 beta)>
#<alt (* -1 beta)>
#<alt (* -1 beta)>
#<alt (* -1 beta)>
#<alt (* -1 beta)>
#<alt (* -1 beta)>
#<alt -1>
#<alt (- (/ alpha (+ 2 beta)) 1)>
#<alt (- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1)>
#<alt (- (* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) 1)>
#<alt (* -1 (/ (+ 2 beta) alpha))>
#<alt (/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)>
#<alt (/ (- (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha))))) alpha)>
#<alt (/ (- (/ (pow (+ 2 beta) 4) (pow alpha 3)) (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) alpha)>
#<alt (* -1 (/ (+ 2 beta) alpha))>
#<alt (* -1 (/ (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha)))) alpha))>
#<alt (* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 3) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))>
#<alt (* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 4) alpha)) (pow (+ 2 beta) 3)) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))>
#<alt (- (/ alpha (+ 2 alpha)) 1)>
#<alt (- (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha))) 1)>
#<alt (- (+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)>
#<alt (- (+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)>
#<alt -1>
#<alt (- (/ alpha beta) 1)>
#<alt (- (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta)) 1)>
#<alt (- (+ (/ alpha beta) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2))))>
#<alt -1>
#<alt (- (/ alpha beta) 1)>
#<alt (- (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1)>
#<alt (- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) 1)>
#<alt (* -1 (/ beta (pow (+ 2 alpha) 2)))>
#<alt (* -1 (/ beta (pow (+ 2 alpha) 2)))>
#<alt (* -1 (/ beta (pow (+ 2 alpha) 2)))>
#<alt (* -1 (/ beta (pow (+ 2 alpha) 2)))>
#<alt (* -1 (/ beta (pow (+ 2 alpha) 2)))>
#<alt (* -1 (/ beta (pow (+ 2 alpha) 2)))>
#<alt (* -1 (/ beta (pow (+ 2 alpha) 2)))>
#<alt (* -1 (/ beta (pow (+ 2 alpha) 2)))>
#<alt (* -1 (/ beta (pow (+ 2 alpha) 2)))>
#<alt (* -1 (/ beta (pow (+ 2 alpha) 2)))>
#<alt (* -1 (/ beta (pow (+ 2 alpha) 2)))>
#<alt (* -1 (/ beta (pow (+ 2 alpha) 2)))>
#<alt (* -1/4 beta)>
#<alt (+ (* -1/4 beta) (* 1/4 (* alpha beta)))>
#<alt (+ (* -1/4 beta) (* alpha (+ (* 1/4 beta) (* alpha (+ (* -1/4 beta) (* 1/16 beta))))))>
#<alt (+ (* -1/4 beta) (* alpha (+ (* 1/4 beta) (* alpha (+ (* -1/4 beta) (+ (* 1/16 beta) (* alpha (+ (* -1 (+ (* -1/4 beta) (* 1/16 beta))) (* -1/16 beta)))))))))>
#<alt (* -1 (/ beta (pow alpha 2)))>
#<alt (/ (+ (* -1 beta) (* 4 (/ beta alpha))) (pow alpha 2))>
#<alt (/ (+ (* -16 (/ beta (pow alpha 2))) (+ (* -1 beta) (+ (* 4 (/ beta alpha)) (* 4 (/ beta (pow alpha 2)))))) (pow alpha 2))>
#<alt (/ (+ (* -16 (/ beta (pow alpha 2))) (+ (* -16 (/ beta (pow alpha 3))) (+ (* -4 (/ (+ (* -16 beta) (* 4 beta)) (pow alpha 3))) (+ (* -1 beta) (+ (* 4 (/ beta alpha)) (* 4 (/ beta (pow alpha 2)))))))) (pow alpha 2))>
#<alt (* -1 (/ beta (pow alpha 2)))>
#<alt (/ (+ (* -1 beta) (* 4 (/ beta alpha))) (pow alpha 2))>
#<alt (/ (+ (* -1 beta) (* -1 (/ (+ (* -4 beta) (* -1 (/ (+ (* -16 beta) (* 4 beta)) alpha))) alpha))) (pow alpha 2))>
#<alt (/ (+ (* -1 beta) (* -1 (/ (+ (* -4 beta) (* -1 (/ (+ (* -16 beta) (+ (* -1 (/ (+ (* 4 (+ (* -16 beta) (* 4 beta))) (* 16 beta)) alpha)) (* 4 beta))) alpha))) alpha))) (pow alpha 2))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 alpha))>
#<alt (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))>
#<alt (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))>
#<alt (/ 1 alpha)>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)>
#<alt (/ 1 alpha)>
#<alt (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))>

Calls

102 calls:

Time	Variable		Point	Expression
12.0ms	beta	@	0	(/ (+ -2 (neg beta)) alpha)
5.0ms	beta	@	inf	(/ (- (* beta (+ (/ 1 (+ alpha 2)) (/ (neg beta) (* (+ alpha 2) (+ alpha 2))))) (+ (/ alpha (+ beta (+ alpha 2))) -1)) 2)
1.0ms	alpha	@	inf	(/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1))
1.0ms	beta	@	0	(/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1))
1.0ms	alpha	@	0	(/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1))

rewrite375.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3212×	`fma-lowering-fma.f32`
3212×	`fma-lowering-fma.f64`
2868×	`-lowering-.f32`
2868×	`-lowering-.f64`
1960×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	205
1	280	191
2	3238	186
0	8822	186

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 639

Calls

Call 1

Inputs
(/ 1 (/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1)))
(/ 2 (+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1))
(+ (/ (- beta alpha) (+ beta (+ alpha 2))) 1)
(/ (- beta alpha) (+ beta (+ alpha 2)))
(/ (- 1 (/ 2 alpha)) alpha)
(- 1 (/ 2 alpha))
(/ 2 alpha)
(/ (- (/ beta (+ beta (+ alpha 2))) (/ (+ -2 (neg beta)) alpha)) 2)
(- (/ beta (+ beta (+ alpha 2))) (/ (+ -2 (neg beta)) alpha))
(/ (+ -2 (neg beta)) alpha)
(+ -2 (neg beta))
(/ (- (* beta (+ (/ 1 (+ alpha 2)) (/ (neg beta) (* (+ alpha 2) (+ alpha 2))))) (+ (/ alpha (+ beta (+ alpha 2))) -1)) 2)
(- (* beta (+ (/ 1 (+ alpha 2)) (/ (neg beta) (* (+ alpha 2) (+ alpha 2))))) (+ (/ alpha (+ beta (+ alpha 2))) -1))
(* beta (+ (/ 1 (+ alpha 2)) (/ (neg beta) (* (+ alpha 2) (+ alpha 2)))))
(+ (/ 1 (+ alpha 2)) (/ (neg beta) (* (+ alpha 2) (+ alpha 2))))
(/ beta (+ beta (+ alpha 2)))
(neg beta)
(+ (/ alpha (+ beta (+ alpha 2))) -1)
(/ (neg beta) (* (+ alpha 2) (+ alpha 2)))
(/ 1 (+ alpha 2))

Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) #s(literal -1 binary64)))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))))) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
(/.f64 (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64))))
(/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha)))))) (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) #s(literal -1 binary64))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))
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(fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 1 binary64))
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(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) alpha) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(fma.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (neg.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(fma.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(fma.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (neg.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(fma.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) alpha) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(fma.f64 (-.f64 beta alpha) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) (+.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) alpha) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64) (+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) alpha) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(fma.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (neg.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(fma.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (*.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(fma.f64 #s(literal -1 binary64) (/.f64 beta (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (neg.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(fma.f64 #s(literal -1 binary64) (/.f64 beta (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (*.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) alpha) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) beta (neg.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) beta (*.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha) (+.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) alpha) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
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(fma.f64 (/.f64 (-.f64 beta alpha) (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 #s(literal 2 binary64) alpha)))) (-.f64 beta (+.f64 #s(literal 2 binary64) alpha)) (+.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) alpha) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(fma.f64 (/.f64 beta (+.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (.f64 beta (.f64 beta beta)))) (+.f64 (.f64 beta beta) (.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) (neg.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
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(neg.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta alpha)) #s(literal 1 binary64)))
(/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
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(/.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha)))
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(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) beta) alpha)) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) beta) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
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(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha)) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
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(/.f64 (.f64 (-.f64 (.f64 beta beta) (.f64 alpha alpha)) #s(literal 1 binary64)) (.f64 (+.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))
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(/.f64 (-.f64 (/.f64 beta (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) beta) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) alpha))) (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
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(/.f64 (.f64 (-.f64 (.f64 beta beta) (*.f64 alpha alpha)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (+.f64 beta alpha))
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) beta)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (pow.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal -1 binary64)))
(.f64 (/.f64 beta (+.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (.f64 beta (.f64 beta beta)))) (+.f64 (.f64 beta beta) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 (+.f64 #s(literal 2 binary64) alpha) beta))))
(.f64 (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 #s(literal 2 binary64) alpha)))) (-.f64 beta (+.f64 #s(literal 2 binary64) alpha)))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) beta))
(-.f64 #s(literal 0 binary64) beta)
(neg.f64 beta)
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 beta (.f64 beta beta))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 beta beta) (.f64 #s(literal 0 binary64) beta))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 beta beta)) (+.f64 #s(literal 0 binary64) beta))
(*.f64 beta #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) beta)
(+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))
(-.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) alpha)) (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64))
(fma.f64 alpha (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) alpha #s(literal -1 binary64))
(fma.f64 (/.f64 alpha (+.f64 (.f64 (+.f64 #s(literal 2 binary64) alpha) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (.f64 beta (.f64 beta beta)))) (+.f64 (.f64 beta beta) (.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) #s(literal -1 binary64))
(fma.f64 (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 #s(literal 2 binary64) alpha)))) (-.f64 beta (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) alpha)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) alpha)))) (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) alpha))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) (+.f64 (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) alpha)) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) alpha)))) (+.f64 (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) alpha)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) alpha)))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) alpha)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) alpha)) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) alpha)))))
(/.f64 (+.f64 (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) alpha)) #s(literal -1 binary64)) (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) alpha))))) (neg.f64 (+.f64 (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) alpha)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) alpha))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) alpha)) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) alpha))) (-.f64 #s(literal -1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))
(pow.f64 (/.f64 (+.f64 (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) alpha)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) alpha)))) (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) alpha))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) (+.f64 (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) alpha)) #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) alpha)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) alpha)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) alpha))))))
(*.f64 (+.f64 (/.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) alpha)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha)))
(neg.f64 (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) alpha) (neg.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) alpha)))))
(/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) alpha))))
(/.f64 (-.f64 #s(literal 0 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))
(/.f64 (-.f64 #s(literal 0 binary64) beta) (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) alpha)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta))))
(/.f64 (neg.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) alpha))) (+.f64 #s(literal 2 binary64) alpha))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) beta) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)))
(/.f64 (neg.f64 (neg.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) alpha)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) alpha)))
(pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) (neg.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) alpha)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) alpha))) (+.f64 #s(literal 2 binary64) alpha)))
(.f64 beta (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2 binary64) alpha) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) alpha)))))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (neg.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) alpha))))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha)) (-.f64 #s(literal 0 binary64) beta))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) beta)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) alpha))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 beta (+.f64 #s(literal 2 binary64) alpha)))
(.f64 (/.f64 (neg.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (.f64 alpha (.f64 alpha alpha)) #s(literal 8 binary64))) (-.f64 (+.f64 (.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) alpha)))
(.f64 (/.f64 (neg.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) alpha))) (+.f64 (.f64 alpha alpha) #s(literal -4 binary64))) (+.f64 alpha #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) alpha) beta) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 2 binary64) alpha)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) alpha)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) alpha))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) alpha)))
(pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) alpha))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) alpha))))
(*.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 alpha (.f64 alpha alpha)) #s(literal 8 binary64))) (-.f64 (+.f64 (.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) alpha)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 alpha (.f64 alpha alpha)) #s(literal 8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 alpha alpha) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) alpha))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 alpha alpha) #s(literal -4 binary64))) (+.f64 alpha #s(literal -2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 alpha alpha) #s(literal -4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal -2 binary64))) #s(literal -1 binary64)))

simplify420.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

4038×	`-lowering-.f32`
4038×	`-lowering-.f64`
3706×	`+-lowering-+.f64`
3706×	`+-lowering-+.f32`
1720×	`--lowering--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1422	8544
1	5025	8219
0	8390	8219

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

Inputs
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
1
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(/ 2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* -2 (/ (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (pow (- 1 (/ alpha (+ 2 alpha))) 2))) (* 2 (/ 1 (- 1 (/ alpha (+ 2 alpha))))))
(+ (* beta (- (* -1 (* beta (+ (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (* 2 (/ (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2)))))) (* 2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2))))) (* 2 (/ 1 (- 1 (/ alpha (+ 2 alpha))))))
(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -2 (/ (* (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (* 2 (/ (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (- 1 (/ alpha (+ 2 alpha))))) (* 2 (/ (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))) (pow (- 1 (/ alpha (+ 2 alpha))) 2))))))) (+ (* -2 (/ (pow (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) 2) (pow (- 1 (/ alpha (+ 2 alpha))) 3))) (* 2 (/ (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2)))))) (* 2 (/ (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))) (pow (- 1 (/ alpha (+ 2 alpha))) 2))))) (* 2 (/ 1 (- 1 (/ alpha (+ 2 alpha))))))
1
(+ 1 (* 1/2 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 1 (* -1 (/ (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))) (pow beta 2)))) (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 1 (* -1 (/ (+ (* 1/4 (* (+ 2 (* 2 alpha)) (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))) (+ (* 1/2 (* (+ 2 (* 2 alpha)) (+ (* -1/4 (pow (+ 2 (* 2 alpha)) 2)) (* 1/2 (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))))))) (* 1/2 (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3))))) (pow beta 3)))) (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* -1/4 (/ (pow (+ 2 (* 2 alpha)) 2) (pow beta 2))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
1
(+ 1 (* -1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))
(+ 1 (* -1 (/ (- (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (* -1/4 (/ (pow (- (* -1 alpha) (+ 2 alpha)) 2) beta))) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) (+ (* -1/4 (/ (* (+ 2 alpha) (pow (- (* -1 alpha) (+ 2 alpha)) 2)) beta)) (* 1/2 (/ (* (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2))) (- (* -1 alpha) (+ 2 alpha))) beta)))) (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1/4 (pow (- (* -1 alpha) (+ 2 alpha)) 2)))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(/ 2 (+ 1 (/ beta (+ 2 beta))))
(+ (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(+ (* alpha (- (* -1 (* alpha (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -2 (/ (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (/ (* (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(* 2 (/ alpha (+ 2 (* 2 beta))))
(* alpha (+ (* -2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta))))))
(* alpha (- (+ (* -1 (/ (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))) (pow alpha 2))) (* 2 (/ 1 (+ 2 (* 2 beta))))) (* 2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2))))))
(* alpha (- (+ (* -1 (/ (+ (* -2 (/ (* (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2))))) (pow (+ 2 (* 2 beta)) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))) (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ 2 (* 2 beta)))) (* 2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow (+ 2 (* 2 beta)) 2))))) (pow alpha 3))) (* 2 (/ 1 (+ 2 (* 2 beta))))) (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (* (pow alpha 2) (pow (+ 2 (* 2 beta)) 3)))) (+ (* 2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (* (pow alpha 2) (pow (+ 2 (* 2 beta)) 2))))))))
(* -2 (/ alpha (- (* -1 beta) (+ 2 beta))))
(* -1 (* alpha (+ (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 3))))) (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (pow (- (* -1 beta) (+ 2 beta)) 2)))) alpha)) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))
(* -1 (* alpha (+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 3)))) (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (/ (* (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (pow (- (* -1 beta) (+ 2 beta)) 2))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (pow (- (* -1 beta) (+ 2 beta)) 3)))) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* alpha (- (* -1 beta) (+ 2 beta)))))) (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (pow (- (* -1 beta) (+ 2 beta)) 2))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (pow (- (* -1 beta) (+ 2 beta)) 3))))) alpha)) (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (pow (- (* -1 beta) (+ 2 beta)) 2)))) alpha)) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))
(- 1 (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))
2
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(+ 1 (/ beta (+ 2 beta)))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(/ (+ 2 (* 2 beta)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ alpha (+ 2 alpha)))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))
1
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))
1
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))
(/ beta (+ 2 beta))
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))
-1
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))
-1
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)
(/ -2 (pow alpha 2))
(/ (- alpha 2) (pow alpha 2))
(/ (- alpha 2) (pow alpha 2))
(/ (- alpha 2) (pow alpha 2))
(/ 1 alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/ 1 alpha)
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(/ -2 alpha)
(/ (- alpha 2) alpha)
(/ (- alpha 2) alpha)
(/ (- alpha 2) alpha)
1
(- 1 (* 2 (/ 1 alpha)))
(- 1 (* 2 (/ 1 alpha)))
(- 1 (* 2 (/ 1 alpha)))
1
(- 1 (* 2 (/ 1 alpha)))
(- 1 (* 2 (/ 1 alpha)))
(- 1 (* 2 (/ 1 alpha)))
(/ 2 alpha)
(/ 2 alpha)
(/ 2 alpha)
(/ 2 alpha)
(/ 2 alpha)
(/ 2 alpha)
(/ 2 alpha)
(/ 2 alpha)
(/ 2 alpha)
(/ 2 alpha)
(/ 2 alpha)
(/ 2 alpha)
(/ 1 alpha)
(+ (* 1/2 (* beta (+ (/ 1 alpha) (/ 1 (+ 2 alpha))))) (/ 1 alpha))
(+ (* beta (+ (* -1/2 (/ beta (pow (+ 2 alpha) 2))) (* 1/2 (+ (/ 1 alpha) (/ 1 (+ 2 alpha)))))) (/ 1 alpha))
(+ (* beta (+ (* 1/2 (+ (/ 1 alpha) (/ 1 (+ 2 alpha)))) (* beta (- (* 1/2 (/ beta (pow (+ 2 alpha) 3))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))))) (/ 1 alpha))
(* 1/2 (/ beta alpha))
(* beta (+ (* 1/2 (/ (+ 1 (* 2 (/ 1 alpha))) beta)) (* 1/2 (/ 1 alpha))))
(* beta (+ (* -1/2 (/ (+ 2 alpha) (pow beta 2))) (+ (* 1/2 (/ (+ 1 (* 2 (/ 1 alpha))) beta)) (* 1/2 (/ 1 alpha)))))
(* beta (+ (* -1/2 (/ (+ 2 alpha) (pow beta 2))) (+ (* 1/2 (/ (+ 1 (* 2 (/ 1 alpha))) beta)) (+ (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 3))) (* 1/2 (/ 1 alpha))))))
(* 1/2 (/ beta alpha))
(* -1 (* beta (- (* -1/2 (/ (+ 1 (* 2 (/ 1 alpha))) beta)) (* 1/2 (/ 1 alpha)))))
(* -1 (* beta (- (* -1 (/ (+ (* -1/2 (/ (+ 2 alpha) beta)) (* 1/2 (+ 1 (* 2 (/ 1 alpha))))) beta)) (* 1/2 (/ 1 alpha)))))
(* -1 (* beta (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (+ 2 alpha) 2) beta)) (* 1/2 (+ 2 alpha))) beta)) (* 1/2 (+ 1 (* 2 (/ 1 alpha))))) beta)) (* 1/2 (/ 1 alpha)))))
(* 1/2 (/ (+ 2 beta) alpha))
(/ (+ (* 1/2 (+ 2 beta)) (* 1/2 (/ (* alpha beta) (+ 2 beta)))) alpha)
(/ (+ (* 1/2 (+ 2 beta)) (* alpha (+ (* -1/2 (/ (* alpha beta) (pow (+ 2 beta) 2))) (* 1/2 (/ beta (+ 2 beta)))))) alpha)
(/ (+ (* 1/2 (+ 2 beta)) (* alpha (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (/ beta (pow (+ 2 beta) 2))) (* 1/2 (/ (* alpha beta) (pow (+ 2 beta) 3)))))))) alpha)
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))
(/ (+ (* -1/2 (/ (* beta (+ 2 beta)) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)
(/ (+ (* -1/2 (/ (* beta (+ 2 beta)) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))))) alpha)
(/ (+ (* -1/2 (/ (* beta (+ 2 beta)) alpha)) (+ (* -1/2 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2)))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (* beta (+ 2 beta)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* beta (+ 2 beta))) (* 1/2 (/ (* beta (pow (+ 2 beta) 2)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* beta (pow (+ 2 beta) 2))) (* 1/2 (/ (* beta (pow (+ 2 beta) 3)) alpha))) alpha)) (* -1/2 (* beta (+ 2 beta)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(/ 2 alpha)
(+ (* beta (+ (/ 1 alpha) (/ 1 (+ 2 alpha)))) (* 2 (/ 1 alpha)))
(+ (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (+ (/ 1 alpha) (/ 1 (+ 2 alpha))))) (* 2 (/ 1 alpha)))
(+ (* beta (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 alpha) (/ 1 (+ 2 alpha))))) (* 2 (/ 1 alpha)))
(/ beta alpha)
(* beta (+ (/ 1 alpha) (+ (/ 1 beta) (/ 2 (* alpha beta)))))
(* beta (+ (* -1 (/ (+ 2 alpha) (pow beta 2))) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 2 (* alpha beta))))))
(* beta (- (+ (/ 1 alpha) (+ (/ 1 beta) (+ (/ 2 (* alpha beta)) (/ (pow (+ 2 alpha) 2) (pow beta 3))))) (+ (/ 2 (pow beta 2)) (/ alpha (pow beta 2)))))
(/ beta alpha)
(* -1 (* beta (- (* -1 (/ (+ 1 (* 2 (/ 1 alpha))) beta)) (/ 1 alpha))))
(* -1 (* beta (- (* -1 (/ (+ 1 (+ (* -1 (/ (+ 2 alpha) beta)) (* 2 (/ 1 alpha)))) beta)) (/ 1 alpha))))
(* -1 (* beta (- (* -1 (/ (+ 1 (+ (* -1 (/ (+ 2 (+ alpha (* -1 (/ (pow (+ 2 alpha) 2) beta)))) beta)) (* 2 (/ 1 alpha)))) beta)) (/ 1 alpha))))
(/ (+ 2 beta) alpha)
(/ (- (/ (* alpha beta) (+ 2 beta)) (* -1 (+ 2 beta))) alpha)
(/ (- (* alpha (+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta)))) (* -1 (+ 2 beta))) alpha)
(/ (- (* alpha (+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))) (* -1 (+ 2 beta))) alpha)
(/ (- beta (* -1 (+ 2 beta))) alpha)
(/ (- (+ beta (* -1 (/ (* beta (+ 2 beta)) alpha))) (* -1 (+ 2 beta))) alpha)
(/ (- (+ beta (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (* -1 (+ 2 beta)) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ beta (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3)))) (+ (* -1 (+ 2 beta)) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha)))) alpha)
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha)) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 2)) alpha) (* beta (+ 2 beta))) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 3)) alpha) (* beta (pow (+ 2 beta) 2))) alpha)) (* beta (+ 2 beta))) alpha))) (+ 2 beta)) alpha))
(/ -2 alpha)
(- (* -1 (/ beta alpha)) (* 2 (/ 1 alpha)))
(- (* -1 (/ beta alpha)) (* 2 (/ 1 alpha)))
(- (* -1 (/ beta alpha)) (* 2 (/ 1 alpha)))
(* -1 (/ beta alpha))
(* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))))
(* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))))
(* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))))
(* -1 (/ beta alpha))
(* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))))
(* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))))
(* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))))
(* -1 (/ (+ 2 beta) alpha))
(* -1 (/ (+ 2 beta) alpha))
(* -1 (/ (+ 2 beta) alpha))
(* -1 (/ (+ 2 beta) alpha))
(* -1 (/ (+ 2 beta) alpha))
(* -1 (/ (+ 2 beta) alpha))
(* -1 (/ (+ 2 beta) alpha))
(* -1 (/ (+ 2 beta) alpha))
(* -1 (/ (+ 2 beta) alpha))
(* -1 (/ (+ 2 beta) alpha))
(* -1 (/ (+ 2 beta) alpha))
(* -1 (/ (+ 2 beta) alpha))
-2
(- (* -1 beta) 2)
(- (* -1 beta) 2)
(- (* -1 beta) 2)
(* -1 beta)
(* -1 (* beta (+ 1 (* 2 (/ 1 beta)))))
(* -1 (* beta (+ 1 (* 2 (/ 1 beta)))))
(* -1 (* beta (+ 1 (* 2 (/ 1 beta)))))
(* -1 beta)
(* -1 (* beta (+ 1 (* 2 (/ 1 beta)))))
(* -1 (* beta (+ 1 (* 2 (/ 1 beta)))))
(* -1 (* beta (+ 1 (* 2 (/ 1 beta)))))
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (* 1/2 (/ (* alpha beta) (pow (+ 2 alpha) 4))))))))
(* -1/2 (/ (pow beta 2) (pow (+ 2 alpha) 2)))
(* (pow beta 2) (- (* 1/2 (/ 1 (* beta (+ 2 alpha)))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2)))))
(* (pow beta 2) (- (+ (/ 1/2 (* beta (+ 2 alpha))) (/ 1/2 (pow beta 2))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2)))))
(* (pow beta 2) (- (+ (* -1/2 (/ alpha (pow beta 3))) (+ (/ 1/2 (* beta (+ 2 alpha))) (/ 1/2 (pow beta 2)))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2)))))
(* -1/2 (/ (pow beta 2) (pow (+ 2 alpha) 2)))
(* (pow beta 2) (- (* 1/2 (/ 1 (* beta (+ 2 alpha)))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2)))))
(* (pow beta 2) (- (+ (/ 1/2 (* beta (+ 2 alpha))) (/ 1/2 (pow beta 2))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2)))))
(* (pow beta 2) (- (* -1 (/ (- (* -1 (/ (+ 1/2 (* -1/2 (/ alpha beta))) beta)) (* 1/2 (/ 1 (+ 2 alpha)))) beta)) (* 1/2 (/ 1 (pow (+ 2 alpha) 2)))))
(* 1/2 (+ 1 (* beta (+ 1/2 (* -1/4 beta)))))
(+ (* 1/2 (* alpha (- (* beta (- (* 1/4 beta) 1/4)) (/ 1 (+ 2 beta))))) (* 1/2 (+ 1 (* beta (+ 1/2 (* -1/4 beta))))))
(+ (* 1/2 (+ 1 (* beta (+ 1/2 (* -1/4 beta))))) (* alpha (+ (* 1/2 (* alpha (+ (* beta (+ 1/8 (+ (* -1/4 beta) (* 1/16 beta)))) (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (- (* beta (- (* 1/4 beta) 1/4)) (/ 1 (+ 2 beta)))))))
(+ (* 1/2 (+ 1 (* beta (+ 1/2 (* -1/4 beta))))) (* alpha (+ (* 1/2 (- (* beta (- (* 1/4 beta) 1/4)) (/ 1 (+ 2 beta)))) (* alpha (+ (* 1/2 (* alpha (- (* beta (- (+ (* -1 (+ (* -1/4 beta) (* 1/16 beta))) (* -1/16 beta)) 1/16)) (/ 1 (pow (+ 2 beta) 3))))) (* 1/2 (+ (* beta (+ 1/8 (+ (* -1/4 beta) (* 1/16 beta)))) (/ 1 (pow (+ 2 beta) 2)))))))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (+ (* -1 (pow (+ 2 beta) 2)) (* beta (- (* -1 beta) 2))) alpha))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 beta) 2)) (* beta (- (* -1 beta) 2))) alpha)) (* 1/2 (/ (+ (* beta (+ 4 (* 4 beta))) (pow (+ 2 beta) 3)) (pow alpha 2))))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 beta) 2)) (* beta (- (* -1 beta) 2))) alpha)) (+ (* 1/2 (/ (+ (* -1 (pow (+ 2 beta) 4)) (* beta (- (+ (* -16 beta) (* 4 beta)) 8))) (pow alpha 3))) (* 1/2 (/ (+ (* beta (+ 4 (* 4 beta))) (pow (+ 2 beta) 3)) (pow alpha 2)))))) alpha)
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (+ (* -1/2 (/ (- (* beta (- (* -1 beta) 2)) (pow (+ 2 beta) 2)) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* beta (- (* -4 beta) 4)) (pow (+ 2 beta) 3)) alpha)) (* 1/2 (- (* beta (- (* -1 beta) 2)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* beta (- (+ (* -16 beta) (* 4 beta)) 8)) (pow (+ 2 beta) 4)) alpha)) (* 1/2 (- (* beta (- (* -4 beta) 4)) (pow (+ 2 beta) 3)))) alpha)) (* 1/2 (- (* beta (- (* -1 beta) 2)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))
(- 1 (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ (* alpha beta) (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))
(* -1 (/ (pow beta 2) (pow (+ 2 alpha) 2)))
(* (pow beta 2) (- (/ 1 (* beta (+ 2 alpha))) (/ 1 (pow (+ 2 alpha) 2))))
(* (pow beta 2) (- (+ (/ 1 (* beta (+ 2 alpha))) (/ 1 (pow beta 2))) (/ 1 (pow (+ 2 alpha) 2))))
(* (pow beta 2) (- (+ (* -1 (/ alpha (pow beta 3))) (+ (/ 1 (* beta (+ 2 alpha))) (/ 1 (pow beta 2)))) (/ 1 (pow (+ 2 alpha) 2))))
(* -1 (/ (pow beta 2) (pow (+ 2 alpha) 2)))
(* (pow beta 2) (- (/ 1 (* beta (+ 2 alpha))) (/ 1 (pow (+ 2 alpha) 2))))
(* (pow beta 2) (- (+ (/ 1 (* beta (+ 2 alpha))) (/ 1 (pow beta 2))) (/ 1 (pow (+ 2 alpha) 2))))
(* (pow beta 2) (- (* -1 (/ (- (* -1 (/ (+ 1 (* -1 (/ alpha beta))) beta)) (/ 1 (+ 2 alpha))) beta)) (/ 1 (pow (+ 2 alpha) 2))))
(+ 1 (* beta (+ 1/2 (* -1/4 beta))))
(+ 1 (+ (* alpha (- (* beta (- (* 1/4 beta) 1/4)) (/ 1 (+ 2 beta)))) (* beta (+ 1/2 (* -1/4 beta)))))
(+ 1 (+ (* alpha (- (+ (* alpha (+ (* beta (+ 1/8 (+ (* -1/4 beta) (* 1/16 beta)))) (/ 1 (pow (+ 2 beta) 2)))) (* beta (- (* 1/4 beta) 1/4))) (/ 1 (+ 2 beta)))) (* beta (+ 1/2 (* -1/4 beta)))))
(+ 1 (+ (* alpha (- (+ (* alpha (+ (* alpha (- (* beta (- (+ (* -1 (+ (* -1/4 beta) (* 1/16 beta))) (* -1/16 beta)) 1/16)) (/ 1 (pow (+ 2 beta) 3)))) (+ (* beta (+ 1/8 (+ (* -1/4 beta) (* 1/16 beta)))) (/ 1 (pow (+ 2 beta) 2))))) (* beta (- (* 1/4 beta) 1/4))) (/ 1 (+ 2 beta)))) (* beta (+ 1/2 (* -1/4 beta)))))
(/ (+ 2 (* 2 beta)) alpha)
(/ (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (* beta (- (* -1 beta) 2)) alpha)))) alpha)
(/ (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (+ (/ (* beta (+ 4 (* 4 beta))) (pow alpha 2)) (+ (/ (* beta (- (* -1 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) (pow alpha 2))))))) alpha)
(/ (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (+ (/ (* beta (+ 4 (* 4 beta))) (pow alpha 2)) (+ (/ (* beta (- (* -1 beta) 2)) alpha) (+ (/ (* beta (- (+ (* -16 beta) (* 4 beta)) 8)) (pow alpha 3)) (/ (pow (+ 2 beta) 3) (pow alpha 2))))))))) alpha)
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* beta (- (* -1 beta) 2)) (pow (+ 2 beta) 2)) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (* -1 (/ (- (* beta (- (* -4 beta) 4)) (pow (+ 2 beta) 3)) alpha)) (* beta (- (* -1 beta) 2))) (pow (+ 2 beta) 2)) alpha))) (+ 2 beta)) alpha))
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* beta (- (+ (* -16 beta) (* 4 beta)) 8)) (pow (+ 2 beta) 4)) alpha)) (* beta (- (* -4 beta) 4))) (pow (+ 2 beta) 3)) alpha)) (* beta (- (* -1 beta) 2))) (pow (+ 2 beta) 2)) alpha))) (+ 2 beta)) alpha))
(/ beta (+ 2 alpha))
(* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))))
(* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))))
(* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))))
(* -1 (/ (pow beta 2) (pow (+ 2 alpha) 2)))
(* (pow beta 2) (- (/ 1 (* beta (+ 2 alpha))) (/ 1 (pow (+ 2 alpha) 2))))
(* (pow beta 2) (- (/ 1 (* beta (+ 2 alpha))) (/ 1 (pow (+ 2 alpha) 2))))
(* (pow beta 2) (- (/ 1 (* beta (+ 2 alpha))) (/ 1 (pow (+ 2 alpha) 2))))
(* -1 (/ (pow beta 2) (pow (+ 2 alpha) 2)))
(* (pow beta 2) (- (/ 1 (* beta (+ 2 alpha))) (/ 1 (pow (+ 2 alpha) 2))))
(* (pow beta 2) (- (/ 1 (* beta (+ 2 alpha))) (/ 1 (pow (+ 2 alpha) 2))))
(* (pow beta 2) (- (/ 1 (* beta (+ 2 alpha))) (/ 1 (pow (+ 2 alpha) 2))))
(* beta (+ 1/2 (* -1/4 beta)))
(+ (* alpha (* beta (- (* 1/4 beta) 1/4))) (* beta (+ 1/2 (* -1/4 beta))))
(+ (* alpha (+ (* alpha (* beta (+ 1/8 (+ (* -1/4 beta) (* 1/16 beta))))) (* beta (- (* 1/4 beta) 1/4)))) (* beta (+ 1/2 (* -1/4 beta))))
(+ (* alpha (+ (* alpha (+ (* alpha (* beta (- (+ (* -1 (+ (* -1/4 beta) (* 1/16 beta))) (* -1/16 beta)) 1/16))) (* beta (+ 1/8 (+ (* -1/4 beta) (* 1/16 beta)))))) (* beta (- (* 1/4 beta) 1/4)))) (* beta (+ 1/2 (* -1/4 beta))))
(/ beta alpha)
(/ (+ beta (/ (* beta (- (* -1 beta) 2)) alpha)) alpha)
(/ (+ beta (+ (/ (* beta (+ 4 (* 4 beta))) (pow alpha 2)) (/ (* beta (- (* -1 beta) 2)) alpha))) alpha)
(/ (+ beta (+ (/ (* beta (+ 4 (* 4 beta))) (pow alpha 2)) (+ (/ (* beta (- (* -1 beta) 2)) alpha) (/ (* beta (- (+ (* -16 beta) (* 4 beta)) 8)) (pow alpha 3))))) alpha)
(/ beta alpha)
(* -1 (/ (+ (* -1 beta) (* -1 (/ (* beta (- (* -1 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 beta) (* -1 (/ (+ (* -1 (/ (* beta (- (* -4 beta) 4)) alpha)) (* beta (- (* -1 beta) 2))) alpha))) alpha))
(* -1 (/ (+ (* -1 beta) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* beta (- (+ (* -16 beta) (* 4 beta)) 8)) alpha)) (* beta (- (* -4 beta) 4))) alpha)) (* beta (- (* -1 beta) 2))) alpha))) alpha))
(+ 1/2 (* -1/4 beta))
(+ 1/2 (+ (* -1/4 beta) (* alpha (- (* 1/4 beta) 1/4))))
(+ 1/2 (+ (* -1/4 beta) (* alpha (- (+ (* 1/4 beta) (* alpha (+ 1/8 (+ (* -1/4 beta) (* 1/16 beta))))) 1/4))))
(+ 1/2 (+ (* -1/4 beta) (* alpha (- (+ (* 1/4 beta) (* alpha (+ 1/8 (+ (* -1/4 beta) (+ (* 1/16 beta) (* alpha (- (+ (* -1 (+ (* -1/4 beta) (* 1/16 beta))) (* -1/16 beta)) 1/16))))))) 1/4))))
(/ 1 alpha)
(/ (- (+ 1 (* -1 (/ beta alpha))) (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (+ (* -1 (/ beta alpha)) (+ (* 4 (/ beta (pow alpha 2))) (/ 4 (pow alpha 2))))) (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (+ (* -16 (/ beta (pow alpha 3))) (+ (* -1 (/ beta alpha)) (+ (* 4 (/ beta (pow alpha 2))) (+ (* 4 (/ beta (pow alpha 3))) (/ 4 (pow alpha 2))))))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)
(/ 1 alpha)
(* -1 (/ (- (* -1 (/ (- (* -1 beta) 2) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -4 beta) 4) alpha))) 2) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (* -4 beta) (* -1 (/ (- (+ (* -16 beta) (* 4 beta)) 8) alpha))) 4) alpha))) 2) alpha)) 1) alpha))
(/ 1 (+ 2 alpha))
(+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha)))
(+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha)))
(+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha)))
(* -1 (/ beta (pow (+ 2 alpha) 2)))
(* beta (- (/ 1 (* beta (+ 2 alpha))) (/ 1 (pow (+ 2 alpha) 2))))
(* beta (- (/ 1 (* beta (+ 2 alpha))) (/ 1 (pow (+ 2 alpha) 2))))
(* beta (- (/ 1 (* beta (+ 2 alpha))) (/ 1 (pow (+ 2 alpha) 2))))
(* -1 (/ beta (pow (+ 2 alpha) 2)))
(* -1 (* beta (- (/ 1 (pow (+ 2 alpha) 2)) (/ 1 (* beta (+ 2 alpha))))))
(* -1 (* beta (- (/ 1 (pow (+ 2 alpha) 2)) (/ 1 (* beta (+ 2 alpha))))))
(* -1 (* beta (- (/ 1 (pow (+ 2 alpha) 2)) (/ 1 (* beta (+ 2 alpha))))))
(/ beta (+ 2 alpha))
(* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))))
(* beta (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))
(* beta (+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))
1
(+ 1 (* -1 (/ (+ 2 alpha) beta)))
(- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
(- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))))
1
(+ 1 (* -1 (/ (+ 2 alpha) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 2) beta)) (* -1 (+ 2 alpha))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 3) beta)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1 (+ 2 alpha))) beta)))
(/ beta (+ 2 beta))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta)))
(+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
(+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
(/ beta alpha)
(/ (+ beta (* -1 (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ (- (+ beta (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/ (- (+ beta (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3)))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/ beta alpha)
(* -1 (/ (+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha)) alpha))
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 2)) alpha) (* beta (+ 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 3)) alpha) (* beta (pow (+ 2 beta) 2))) alpha)) (* beta (+ 2 beta))) alpha))) alpha))
(* -1 beta)
(* -1 beta)
(* -1 beta)
(* -1 beta)
(* -1 beta)
(* -1 beta)
(* -1 beta)
(* -1 beta)
(* -1 beta)
(* -1 beta)
(* -1 beta)
(* -1 beta)
-1
(- (/ alpha (+ 2 beta)) 1)
(- (* alpha (+ (* -1 (/ alpha (pow (+ 2 beta) 2))) (/ 1 (+ 2 beta)))) 1)
(- (* alpha (+ (* alpha (- (/ alpha (pow (+ 2 beta) 3)) (/ 1 (pow (+ 2 beta) 2)))) (/ 1 (+ 2 beta)))) 1)
(* -1 (/ (+ 2 beta) alpha))
(/ (- (/ (pow (+ 2 beta) 2) alpha) (+ 2 beta)) alpha)
(/ (- (* -1 (/ (pow (+ 2 beta) 3) (pow alpha 2))) (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha))))) alpha)
(/ (- (/ (pow (+ 2 beta) 4) (pow alpha 3)) (+ 2 (+ beta (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) alpha)
(* -1 (/ (+ 2 beta) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (pow (+ 2 beta) 2) alpha)))) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 3) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))
(* -1 (/ (+ 2 (+ beta (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (+ 2 beta) 4) alpha)) (pow (+ 2 beta) 3)) alpha)) (pow (+ 2 beta) 2)) alpha)))) alpha))
(- (/ alpha (+ 2 alpha)) 1)
(- (+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha))) 1)
(- (+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)
(- (+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)
-1
(- (/ alpha beta) 1)
(- (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta)) 1)
(- (+ (/ alpha beta) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2))))
-1
(- (/ alpha beta) 1)
(- (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1)
(- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) 1)
(* -1 (/ beta (pow (+ 2 alpha) 2)))
(* -1 (/ beta (pow (+ 2 alpha) 2)))
(* -1 (/ beta (pow (+ 2 alpha) 2)))
(* -1 (/ beta (pow (+ 2 alpha) 2)))
(* -1 (/ beta (pow (+ 2 alpha) 2)))
(* -1 (/ beta (pow (+ 2 alpha) 2)))
(* -1 (/ beta (pow (+ 2 alpha) 2)))
(* -1 (/ beta (pow (+ 2 alpha) 2)))
(* -1 (/ beta (pow (+ 2 alpha) 2)))
(* -1 (/ beta (pow (+ 2 alpha) 2)))
(* -1 (/ beta (pow (+ 2 alpha) 2)))
(* -1 (/ beta (pow (+ 2 alpha) 2)))
(* -1/4 beta)
(+ (* -1/4 beta) (* 1/4 (* alpha beta)))
(+ (* -1/4 beta) (* alpha (+ (* 1/4 beta) (* alpha (+ (* -1/4 beta) (* 1/16 beta))))))
(+ (* -1/4 beta) (* alpha (+ (* 1/4 beta) (* alpha (+ (* -1/4 beta) (+ (* 1/16 beta) (* alpha (+ (* -1 (+ (* -1/4 beta) (* 1/16 beta))) (* -1/16 beta)))))))))
(* -1 (/ beta (pow alpha 2)))
(/ (+ (* -1 beta) (* 4 (/ beta alpha))) (pow alpha 2))
(/ (+ (* -16 (/ beta (pow alpha 2))) (+ (* -1 beta) (+ (* 4 (/ beta alpha)) (* 4 (/ beta (pow alpha 2)))))) (pow alpha 2))
(/ (+ (* -16 (/ beta (pow alpha 2))) (+ (* -16 (/ beta (pow alpha 3))) (+ (* -4 (/ (+ (* -16 beta) (* 4 beta)) (pow alpha 3))) (+ (* -1 beta) (+ (* 4 (/ beta alpha)) (* 4 (/ beta (pow alpha 2)))))))) (pow alpha 2))
(* -1 (/ beta (pow alpha 2)))
(/ (+ (* -1 beta) (* 4 (/ beta alpha))) (pow alpha 2))
(/ (+ (* -1 beta) (* -1 (/ (+ (* -4 beta) (* -1 (/ (+ (* -16 beta) (* 4 beta)) alpha))) alpha))) (pow alpha 2))
(/ (+ (* -1 beta) (* -1 (/ (+ (* -4 beta) (* -1 (/ (+ (* -16 beta) (+ (* -1 (/ (+ (* 4 (+ (* -16 beta) (* 4 beta))) (* 16 beta)) alpha)) (* 4 beta))) alpha))) alpha))) (pow alpha 2))
1/2
(+ 1/2 (* -1/4 alpha))
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))
(/ 1 alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)
(/ 1 alpha)
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))

Outputs
(* 1/2 (- 1 (/ alpha (+ 2 alpha))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))
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(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))
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(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))
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1
#s(literal 1 binary64)
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(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 alpha #s(literal 2 binary64)))) beta))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 alpha #s(literal 2 binary64)))) beta)) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (.f64 beta beta)))
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 alpha #s(literal 2 binary64)))) beta)) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 (.f64 (-.f64 #s(literal 0 binary64) alpha) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal -2 binary64) alpha) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (.f64 beta (.f64 beta beta))) (/.f64 (+.f64 (.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (.f64 beta beta)))))
1
#s(literal 1 binary64)
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(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha))) beta)) beta))
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha)) (/.f64 (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 alpha #s(literal 2 binary64))) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha))) beta)) beta)) beta))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 (.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 alpha (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (.f64 (.f64 #s(literal 1/2 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))))))
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 alpha (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (.f64 alpha (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))))))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) beta))) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
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(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 alpha (+.f64 (.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))))) (.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))))))
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (* -2 (/ (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))) (pow (+ 1 (/ beta (+ 2 beta))) 2))) (+ (* 2 (/ (* (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (/ (* (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 1 (/ beta (+ 2 beta)))))))) (+ (* -2 (/ (pow (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) 2) (pow (+ 1 (/ beta (+ 2 beta))) 3))) (* 2 (/ (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))) (pow (+ 1 (/ beta (+ 2 beta))) 2)))))) (* -2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (pow (+ 1 (/ beta (+ 2 beta))) 2))))) (* 2 (/ 1 (+ 1 (/ beta (+ 2 beta))))))
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 alpha (+.f64 (.f64 alpha (-.f64 (.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))) (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))) (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))))))) (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))))) (.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))))))))
(* 2 (/ alpha (+ 2 (* 2 beta))))
(/.f64 (.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))
(* alpha (+ (* -2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta))))))
(.f64 alpha (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (.f64 (-.f64 #s(literal -2 binary64) beta) beta))) (.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))
(* alpha (- (+ (* -1 (/ (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))) (pow alpha 2))) (* 2 (/ 1 (+ 2 (* 2 beta))))) (* 2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2))))))
(.f64 alpha (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) (/.f64 (+.f64 (.f64 (/.f64 #s(literal -2 binary64) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))) (/.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (.f64 (-.f64 #s(literal -2 binary64) beta) beta))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))) (.f64 alpha alpha))) (/.f64 (.f64 #s(literal -2 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (.f64 (-.f64 #s(literal -2 binary64) beta) beta))) (.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))))))
(* alpha (- (+ (* -1 (/ (+ (* -2 (/ (* (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2))))) (pow (+ 2 (* 2 beta)) 3))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (pow (+ 2 (* 2 beta)) 3))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow (+ 2 (* 2 beta)) 2)))) (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta)))) (+ 2 (* 2 beta)))) (* 2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow (+ 2 (* 2 beta)) 2))))) (pow alpha 3))) (* 2 (/ 1 (+ 2 (* 2 beta))))) (+ (* -2 (/ (pow (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) 2) (* (pow alpha 2) (pow (+ 2 (* 2 beta)) 3)))) (+ (* 2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (* (pow alpha 2) (pow (+ 2 (* 2 beta)) 2))))))))
(.f64 alpha (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (+.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))) (-.f64 (/.f64 (.f64 #s(literal 2 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))) (.f64 (+.f64 (.f64 (/.f64 #s(literal -2 binary64) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))) (/.f64 (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (.f64 (-.f64 #s(literal -2 binary64) beta) beta))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))) (/.f64 (.f64 #s(literal 2 binary64) (+.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))))) (.f64 alpha (.f64 alpha alpha)))) (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (.f64 (-.f64 #s(literal -2 binary64) beta) beta)))) (.f64 (.f64 alpha alpha) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))))) (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))) (/.f64 (/.f64 (+.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (.f64 alpha alpha)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))))))
(* -2 (/ alpha (- (* -1 beta) (+ 2 beta))))
(/.f64 (*.f64 #s(literal -2 binary64) alpha) (+.f64 (-.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal -2 binary64) beta)))
(* -1 (* alpha (+ (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))
(.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 (.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (+.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (+.f64 (-.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal -2 binary64) beta))))) (/.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal -2 binary64) beta)))))
(* -1 (* alpha (+ (* -1 (/ (- (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 3))))) (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (pow (- (* -1 beta) (+ 2 beta)) 2)))) alpha)) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))
(.f64 (-.f64 #s(literal 0 binary64) alpha) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 (-.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) (+.f64 (/.f64 (/.f64 (+.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) alpha) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (+.f64 (-.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal -2 binary64) beta)))) (/.f64 (.f64 (+.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (.f64 beta (+.f64 #s(literal 2 binary64) beta))) (+.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 alpha (.f64 (+.f64 (-.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (+.f64 (-.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal -2 binary64) beta)))))))) (.f64 #s(literal 2 binary64) (/.f64 (+.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (+.f64 (-.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal -2 binary64) beta)))))) alpha)))
(* -1 (* alpha (+ (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 3)))) (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) (* alpha (pow (- (* -1 beta) (+ 2 beta)) 2)))) (/ (* (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (pow (- (* -1 beta) (+ 2 beta)) 2))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (pow (- (* -1 beta) (+ 2 beta)) 3)))) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* alpha (- (* -1 beta) (+ 2 beta)))))) (+ (* -2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) (pow (- (* -1 beta) (+ 2 beta)) 2))) (* -2 (/ (pow (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) 2) (pow (- (* -1 beta) (+ 2 beta)) 3))))) alpha)) (* -2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) (pow (- (* -1 beta) (+ 2 beta)) 2)))) alpha)) (* 2 (/ 1 (- (* -1 beta) (+ 2 beta)))))))
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2
#s(literal 2 binary64)
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1
#s(literal 1 binary64)
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(+.f64 (-.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))
(- (+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)
(+.f64 (.f64 beta (-.f64 (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -1 binary64)))
(- (+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha))) 1)
(+.f64 (.f64 beta (-.f64 (.f64 beta (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 alpha beta) (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (/ alpha beta) 1)
(+.f64 (/.f64 alpha beta) #s(literal -1 binary64))
(- (+ (* -1 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (/ alpha beta)) 1)
(+.f64 (-.f64 (/.f64 alpha beta) (/.f64 (.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (.f64 beta beta))) #s(literal -1 binary64))
(- (+ (/ alpha beta) (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (+ 1 (/ (* alpha (+ 2 alpha)) (pow beta 2))))
(-.f64 (+.f64 (/.f64 alpha beta) (.f64 (/.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (.f64 beta beta)) (/.f64 alpha beta))) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta beta))))
-1
#s(literal -1 binary64)
(- (/ alpha beta) 1)
(+.f64 (/.f64 alpha beta) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta)) 1)
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 (*.f64 alpha (+.f64 alpha #s(literal 2 binary64))) beta) alpha) beta)) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta)) 1)
(+.f64 (/.f64 (neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 (+.f64 (/.f64 (.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) beta) (*.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) beta))) beta) #s(literal -1 binary64))
(* -1 (/ beta (pow (+ 2 alpha) 2)))
(*.f64 (/.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 alpha #s(literal 2 binary64))))
(* -1 (/ beta (pow (+ 2 alpha) 2)))
(*.f64 (/.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 alpha #s(literal 2 binary64))))
(* -1 (/ beta (pow (+ 2 alpha) 2)))
(*.f64 (/.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 alpha #s(literal 2 binary64))))
(* -1 (/ beta (pow (+ 2 alpha) 2)))
(*.f64 (/.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 alpha #s(literal 2 binary64))))
(* -1 (/ beta (pow (+ 2 alpha) 2)))
(*.f64 (/.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 alpha #s(literal 2 binary64))))
(* -1 (/ beta (pow (+ 2 alpha) 2)))
(*.f64 (/.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 alpha #s(literal 2 binary64))))
(* -1 (/ beta (pow (+ 2 alpha) 2)))
(*.f64 (/.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 alpha #s(literal 2 binary64))))
(* -1 (/ beta (pow (+ 2 alpha) 2)))
(*.f64 (/.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 alpha #s(literal 2 binary64))))
(* -1 (/ beta (pow (+ 2 alpha) 2)))
(*.f64 (/.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 alpha #s(literal 2 binary64))))
(* -1 (/ beta (pow (+ 2 alpha) 2)))
(*.f64 (/.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 alpha #s(literal 2 binary64))))
(* -1 (/ beta (pow (+ 2 alpha) 2)))
(*.f64 (/.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 alpha #s(literal 2 binary64))))
(* -1 (/ beta (pow (+ 2 alpha) 2)))
(*.f64 (/.f64 beta (+.f64 alpha #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 alpha #s(literal 2 binary64))))
(* -1/4 beta)
(*.f64 beta #s(literal -1/4 binary64))
(+ (* -1/4 beta) (* 1/4 (* alpha beta)))
(+.f64 (.f64 beta #s(literal -1/4 binary64)) (.f64 #s(literal 1/4 binary64) (*.f64 alpha beta)))
(+ (* -1/4 beta) (* alpha (+ (* 1/4 beta) (* alpha (+ (* -1/4 beta) (* 1/16 beta))))))
(+.f64 (.f64 beta #s(literal -1/4 binary64)) (.f64 alpha (+.f64 (.f64 beta #s(literal 1/4 binary64)) (.f64 alpha (*.f64 beta #s(literal -3/16 binary64))))))
(+ (* -1/4 beta) (* alpha (+ (* 1/4 beta) (* alpha (+ (* -1/4 beta) (+ (* 1/16 beta) (* alpha (+ (* -1 (+ (* -1/4 beta) (* 1/16 beta))) (* -1/16 beta)))))))))
(+.f64 (.f64 beta #s(literal -1/4 binary64)) (.f64 alpha (+.f64 (.f64 beta #s(literal 1/4 binary64)) (.f64 alpha (+.f64 (.f64 beta #s(literal -3/16 binary64)) (.f64 alpha (-.f64 (.f64 beta #s(literal -1/16 binary64)) (.f64 beta #s(literal -3/16 binary64)))))))))
(* -1 (/ beta (pow alpha 2)))
(-.f64 #s(literal 0 binary64) (/.f64 beta (*.f64 alpha alpha)))
(/ (+ (* -1 beta) (* 4 (/ beta alpha))) (pow alpha 2))
(/.f64 (-.f64 (/.f64 (.f64 beta #s(literal 4 binary64)) alpha) beta) (.f64 alpha alpha))
(/ (+ (* -16 (/ beta (pow alpha 2))) (+ (* -1 beta) (+ (* 4 (/ beta alpha)) (* 4 (/ beta (pow alpha 2)))))) (pow alpha 2))
(/.f64 (+.f64 (.f64 #s(literal -16 binary64) (/.f64 beta (.f64 alpha alpha))) (-.f64 (.f64 #s(literal 4 binary64) (+.f64 (/.f64 beta alpha) (/.f64 beta (.f64 alpha alpha)))) beta)) (*.f64 alpha alpha))
(/ (+ (* -16 (/ beta (pow alpha 2))) (+ (* -16 (/ beta (pow alpha 3))) (+ (* -4 (/ (+ (* -16 beta) (* 4 beta)) (pow alpha 3))) (+ (* -1 beta) (+ (* 4 (/ beta alpha)) (* 4 (/ beta (pow alpha 2)))))))) (pow alpha 2))
(/.f64 (+.f64 (.f64 #s(literal -16 binary64) (/.f64 beta (.f64 alpha alpha))) (+.f64 (+.f64 (/.f64 (.f64 beta #s(literal -16 binary64)) (.f64 alpha (.f64 alpha alpha))) (/.f64 (.f64 #s(literal -4 binary64) (.f64 beta #s(literal -12 binary64))) (.f64 alpha (.f64 alpha alpha)))) (-.f64 (.f64 #s(literal 4 binary64) (+.f64 (/.f64 beta alpha) (/.f64 beta (.f64 alpha alpha)))) beta))) (.f64 alpha alpha))
(* -1 (/ beta (pow alpha 2)))
(-.f64 #s(literal 0 binary64) (/.f64 beta (*.f64 alpha alpha)))
(/ (+ (* -1 beta) (* 4 (/ beta alpha))) (pow alpha 2))
(/.f64 (-.f64 (/.f64 (.f64 beta #s(literal 4 binary64)) alpha) beta) (.f64 alpha alpha))
(/ (+ (* -1 beta) (* -1 (/ (+ (* -4 beta) (* -1 (/ (+ (* -16 beta) (* 4 beta)) alpha))) alpha))) (pow alpha 2))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 (-.f64 (.f64 beta #s(literal -4 binary64)) (/.f64 (.f64 beta #s(literal -12 binary64)) alpha)) alpha)) (*.f64 alpha alpha))
(/ (+ (* -1 beta) (* -1 (/ (+ (* -4 beta) (* -1 (/ (+ (* -16 beta) (+ (* -1 (/ (+ (* 4 (+ (* -16 beta) (* 4 beta))) (* 16 beta)) alpha)) (* 4 beta))) alpha))) alpha))) (pow alpha 2))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 (-.f64 (.f64 beta #s(literal -4 binary64)) (/.f64 (+.f64 (.f64 beta #s(literal -16 binary64)) (-.f64 (.f64 beta #s(literal 4 binary64)) (/.f64 (+.f64 (.f64 #s(literal 4 binary64) (.f64 beta #s(literal -12 binary64))) (.f64 beta #s(literal 16 binary64))) alpha))) alpha)) alpha)) (*.f64 alpha alpha))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 alpha))
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))
(+.f64 #s(literal 1/2 binary64) (.f64 alpha (+.f64 (.f64 alpha #s(literal 1/8 binary64)) #s(literal -1/4 binary64))))
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))
(+.f64 #s(literal 1/2 binary64) (.f64 alpha (+.f64 (.f64 alpha (+.f64 #s(literal 1/8 binary64) (*.f64 alpha #s(literal -1/16 binary64)))) #s(literal -1/4 binary64))))
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 alpha alpha))) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 alpha alpha))) (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 8 binary64) (.f64 alpha (*.f64 alpha alpha))))) alpha)
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal -1 binary64)) alpha))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) alpha) #s(literal -2 binary64)) alpha)) #s(literal -1 binary64)) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal -4 binary64))) alpha) #s(literal -2 binary64)) alpha)) #s(literal -1 binary64)) alpha))

eval164.0ms (1.5%)

Compiler: Compiled 38655 to 4256 computations (89% saved)

prune187.0ms (1.7%)

Pruning

20 alts after pruning (13 fresh and 7 done)

	Pruned	Kept	Total
New	1061	5	1066
Fresh	6	8	14
Picked	2	3	5
Done	0	4	4
Total	1069	20	1089

Accuracy

100.0%

Counts

1089 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.4%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64))
	28.8%	(/.f64 (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) #s(literal 2 binary64))
✓	75.9%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
	52.2%	(/.f64 (-.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) alpha)) (*.f64 (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha)) beta)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
▶	25.2%	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64))
✓	54.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓	22.7%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
✓	75.2%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	73.0%	(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
	25.9%	(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha alpha))))) alpha)
	28.9%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
	28.5%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))
✓	75.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
	30.8%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 alpha #s(literal 2 binary64)))) beta)))
▶	85.3%	(/.f64 #s(literal 1 binary64) (.f64 alpha (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (.f64 (-.f64 #s(literal -2 binary64) beta) beta))) (.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))))
▶	24.1%	(/.f64 #s(literal 1 binary64) alpha)
	51.9%	(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
	22.9%	(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal -4 binary64)) alpha)) #s(literal -2 binary64)) alpha)) #s(literal -1 binary64)) alpha))
✓	33.7%	#s(literal 1 binary64)
✓	53.2%	#s(literal 1/2 binary64)

Compiler

Compiled 563 to 341 computations (39.4% saved)

simplify202.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
✓	cost-diff	0	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)
✓	cost-diff	0	(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta))
✓	cost-diff	256	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) beta)
✓	cost-diff	0	(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
✓	cost-diff	0	(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) alpha)
✓	cost-diff	640	(/.f64 (.f64 #s(literal -2 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (.f64 (-.f64 #s(literal -2 binary64) beta) beta))) (.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))
✓	cost-diff	640	(+.f64 (/.f64 (.f64 #s(literal -2 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (.f64 (-.f64 #s(literal -2 binary64) beta) beta))) (.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))
✓	cost-diff	1024	(.f64 alpha (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (.f64 (-.f64 #s(literal -2 binary64) beta) beta))) (.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))
✓	cost-diff	1024	(/.f64 #s(literal 1 binary64) (.f64 alpha (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (.f64 (-.f64 #s(literal -2 binary64) beta) beta))) (.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))))

Rules

3632×	`-lowering-.f32`
3632×	`-lowering-.f64`
1760×	`sum4-define`
1750×	`+-lowering-+.f64`
1750×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	410
1	118	373
2	406	350
3	1639	324
0	8768	324

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (* alpha (+ (/ (* -2 (+ (- 0 (* (+ 2 beta) (+ 2 beta))) (* (- -2 beta) beta))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta))))) (/ 2 (+ 2 (* 2 beta))))))
1
(* alpha (+ (/ (* -2 (+ (- 0 (* (+ 2 beta) (+ 2 beta))) (* (- -2 beta) beta))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta))))) (/ 2 (+ 2 (* 2 beta)))))
alpha
(+ (/ (* -2 (+ (- 0 (* (+ 2 beta) (+ 2 beta))) (* (- -2 beta) beta))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta))))) (/ 2 (+ 2 (* 2 beta))))
(/ (* -2 (+ (- 0 (* (+ 2 beta) (+ 2 beta))) (* (- -2 beta) beta))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta)))))
(* -2 (+ (- 0 (* (+ 2 beta) (+ 2 beta))) (* (- -2 beta) beta)))
-2
(+ (- 0 (* (+ 2 beta) (+ 2 beta))) (* (- -2 beta) beta))
(- 0 (* (+ 2 beta) (+ 2 beta)))
0
(* (+ 2 beta) (+ 2 beta))
(+ 2 beta)
2
beta
(* (- -2 beta) beta)
(- -2 beta)
(* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta))))
(* (+ 2 (* 2 beta)) (+ 2 (* 2 beta)))
(+ 2 (* 2 beta))
(* 2 beta)
(/ 2 (+ 2 (* 2 beta)))
(/ 1 alpha)
1
alpha
(/ (+ (/ beta (+ 2 beta)) 1) 2)
(+ (/ beta (+ 2 beta)) 1)
(/ beta (+ 2 beta))
beta
(+ 2 beta)
2
1
(/ (- 2 (/ (+ 2 (* alpha 2)) beta)) 2)
(- 2 (/ (+ 2 (* alpha 2)) beta))
2
(/ (+ 2 (* alpha 2)) beta)
(+ 2 (* alpha 2))
(* alpha 2)
alpha
beta
(/ (/ (- 1 (/ (/ alpha (+ alpha 2)) (/ (+ alpha 2) alpha))) (+ 1 (/ alpha (+ alpha 2)))) 2)
(/ (- 1 (/ (/ alpha (+ alpha 2)) (/ (+ alpha 2) alpha))) (+ 1 (/ alpha (+ alpha 2))))
(- 1 (/ (/ alpha (+ alpha 2)) (/ (+ alpha 2) alpha)))
1
(/ (/ alpha (+ alpha 2)) (/ (+ alpha 2) alpha))
(/ alpha (+ alpha 2))
alpha
(+ alpha 2)
2
(/ (+ alpha 2) alpha)
(+ 1 (/ alpha (+ alpha 2)))

Outputs
(/ 1 (* alpha (+ (/ (* -2 (+ (- 0 (* (+ 2 beta) (+ 2 beta))) (* (- -2 beta) beta))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta))))) (/ 2 (+ 2 (* 2 beta))))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 alpha (+.f64 #s(literal 1 binary64) beta)) (.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta))) #s(literal -1/2 binary64))))
1
#s(literal 1 binary64)
(* alpha (+ (/ (* -2 (+ (- 0 (* (+ 2 beta) (+ 2 beta))) (* (- -2 beta) beta))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta))))) (/ 2 (+ 2 (* 2 beta)))))
(+.f64 (/.f64 alpha (+.f64 #s(literal 1 binary64) beta)) (.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta))) #s(literal -1/2 binary64)))
alpha
(+ (/ (* -2 (+ (- 0 (* (+ 2 beta) (+ 2 beta))) (* (- -2 beta) beta))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta))))) (/ 2 (+ 2 (* 2 beta))))
(+.f64 (/.f64 (.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta))) #s(literal -1/2 binary64)) alpha) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))
(/ (* -2 (+ (- 0 (* (+ 2 beta) (+ 2 beta))) (* (- -2 beta) beta))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta)))))
(/.f64 (.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 (+.f64 #s(literal 1 binary64) beta) (+.f64 #s(literal 1 binary64) beta))) #s(literal -1/2 binary64)) alpha)
(* -2 (+ (- 0 (* (+ 2 beta) (+ 2 beta))) (* (- -2 beta) beta)))
(.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))))
-2
#s(literal -2 binary64)
(+ (- 0 (* (+ 2 beta) (+ 2 beta))) (* (- -2 beta) beta))
(*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))
(- 0 (* (+ 2 beta) (+ 2 beta)))
(*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))
0
#s(literal 0 binary64)
(* (+ 2 beta) (+ 2 beta))
(*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))
(+ 2 beta)
(+.f64 #s(literal 2 binary64) beta)
2
#s(literal 2 binary64)
beta
(* (- -2 beta) beta)
(*.f64 beta (-.f64 #s(literal -2 binary64) beta))
(- -2 beta)
(-.f64 #s(literal -2 binary64) beta)
(* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta))))
(.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 alpha (+.f64 #s(literal 4 binary64) (*.f64 beta #s(literal 4 binary64)))))
(* (+ 2 (* 2 beta)) (+ 2 (* 2 beta)))
(.f64 (+.f64 #s(literal 4 binary64) (.f64 beta #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) beta))
(+ 2 (* 2 beta))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))
(* 2 beta)
(*.f64 #s(literal 2 binary64) beta)
(/ 2 (+ 2 (* 2 beta)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))
(/ 1 alpha)
(/.f64 #s(literal 1 binary64) alpha)
1
#s(literal 1 binary64)
alpha
(/ (+ (/ beta (+ 2 beta)) 1) 2)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) #s(literal 2 binary64))
(+ (/ beta (+ 2 beta)) 1)
(+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(/ beta (+ 2 beta))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
beta
(+ 2 beta)
(+.f64 #s(literal 2 binary64) beta)
2
#s(literal 2 binary64)
1
#s(literal 1 binary64)
(/ (- 2 (/ (+ 2 (* alpha 2)) beta)) 2)
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) alpha) beta))
(- 2 (/ (+ 2 (* alpha 2)) beta))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (*.f64 alpha #s(literal -2 binary64))) beta))
2
#s(literal 2 binary64)
(/ (+ 2 (* alpha 2)) beta)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)
(+ 2 (* alpha 2))
(+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64)))
(* alpha 2)
(*.f64 alpha #s(literal 2 binary64))
alpha
beta
(/ (/ (- 1 (/ (/ alpha (+ alpha 2)) (/ (+ alpha 2) alpha))) (+ 1 (/ alpha (+ alpha 2)))) 2)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 alpha alpha) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))
(/ (- 1 (/ (/ alpha (+ alpha 2)) (/ (+ alpha 2) alpha))) (+ 1 (/ alpha (+ alpha 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 alpha alpha) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
(- 1 (/ (/ alpha (+ alpha 2)) (/ (+ alpha 2) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 alpha alpha) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))
1
#s(literal 1 binary64)
(/ (/ alpha (+ alpha 2)) (/ (+ alpha 2) alpha))
(/.f64 (.f64 alpha alpha) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))
(/ alpha (+ alpha 2))
(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
alpha
(+ alpha 2)
(+.f64 alpha #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (+ alpha 2) alpha)
(/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)
(+ 1 (/ alpha (+ alpha 2)))
(+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))

localize261.0ms (2.4%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))
✓	accuracy	99.8%	(/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha))
✓	accuracy	71.5%	(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha)))
✓	accuracy	100.0%	(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 alpha #s(literal 2 binary64))
✓	accuracy	99.6%	(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)
✓	accuracy	100.0%	(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) beta)
✓	accuracy	100.0%	(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
✓	accuracy	100.0%	(+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) alpha)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (.f64 alpha (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (.f64 (-.f64 #s(literal -2 binary64) beta) beta))) (.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))))
✓	accuracy	99.8%	(.f64 alpha (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (.f64 (-.f64 #s(literal -2 binary64) beta) beta))) (.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))
✓	accuracy	94.2%	(.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))
✓	accuracy	82.9%	(/.f64 (.f64 #s(literal -2 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (.f64 (-.f64 #s(literal -2 binary64) beta) beta))) (.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))

Results

128.0ms	179×	0	valid
67.0ms	77×	1	valid

Compiler

Compiled 422 to 40 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 119.0ms

ival-mult: 56.0ms (47% of total)

ival-div: 35.0ms (29.3% of total)

ival-add: 14.0ms (11.7% of total)

ival-sub: 7.0ms (5.9% of total)

backward-pass: 6.0ms (5% of total)

const: 1.0ms (0.8% of total)

series40.0ms (0.4%)

Counts

20 → 336

Calls

Call 1

Inputs
#<alt (/ 1 (* alpha (+ (/ (* -2 (+ (- 0 (* (+ 2 beta) (+ 2 beta))) (* (- -2 beta) beta))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta))))) (/ 2 (+ 2 (* 2 beta))))))>
#<alt (* alpha (+ (/ (* -2 (+ (- 0 (* (+ 2 beta) (+ 2 beta))) (* (- -2 beta) beta))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta))))) (/ 2 (+ 2 (* 2 beta)))))>
#<alt (+ (/ (* -2 (+ (- 0 (* (+ 2 beta) (+ 2 beta))) (* (- -2 beta) beta))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta))))) (/ 2 (+ 2 (* 2 beta))))>
#<alt (/ (* -2 (+ (- 0 (* (+ 2 beta) (+ 2 beta))) (* (- -2 beta) beta))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta)))))>
#<alt (/ 1 alpha)>
#<alt (/ (+ (/ beta (+ 2 beta)) 1) 2)>
#<alt (+ (/ beta (+ 2 beta)) 1)>
#<alt (/ beta (+ 2 beta))>
#<alt (+ 2 beta)>
#<alt (/ (- 2 (/ (+ 2 (* alpha 2)) beta)) 2)>
#<alt (- 2 (/ (+ 2 (* alpha 2)) beta))>
#<alt (/ (+ 2 (* alpha 2)) beta)>
#<alt (+ 2 (* alpha 2))>
#<alt (/ (/ (- 1 (/ (/ alpha (+ alpha 2)) (/ (+ alpha 2) alpha))) (+ 1 (/ alpha (+ alpha 2)))) 2)>
#<alt (/ (- 1 (/ (/ alpha (+ alpha 2)) (/ (+ alpha 2) alpha))) (+ 1 (/ alpha (+ alpha 2))))>
#<alt (- 1 (/ (/ alpha (+ alpha 2)) (/ (+ alpha 2) alpha)))>
#<alt (/ (/ alpha (+ alpha 2)) (/ (+ alpha 2) alpha))>
#<alt (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta))))>
#<alt (* alpha 2)>
#<alt (/ alpha (+ alpha 2))>

Outputs
#<alt (* -1/2 (/ (pow (+ 2 (* 2 beta)) 2) (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2))))>
#<alt (+ (* -1/2 (/ (* alpha (pow (+ 2 (* 2 beta)) 3)) (pow (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) 2))) (* -1/2 (/ (pow (+ 2 (* 2 beta)) 2) (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)))))>
#<alt (+ (* -1/2 (/ (pow (+ 2 (* 2 beta)) 2) (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)))) (* alpha (- (* -1/2 (/ (* alpha (pow (+ 2 (* 2 beta)) 4)) (pow (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) 3))) (* 1/2 (/ (pow (+ 2 (* 2 beta)) 3) (pow (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) 2))))))>
#<alt (+ (* -1/2 (/ (pow (+ 2 (* 2 beta)) 2) (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)))) (* alpha (- (* alpha (- (* -1/2 (/ (* alpha (pow (+ 2 (* 2 beta)) 5)) (pow (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) 4))) (* 1/2 (/ (pow (+ 2 (* 2 beta)) 4) (pow (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) 3))))) (* 1/2 (/ (pow (+ 2 (* 2 beta)) 3) (pow (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) 2))))))>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) alpha))) alpha)>
#<alt (/ (- (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (pow (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) 2) (* (pow alpha 2) (+ 2 (* 2 beta)))))) (* -1/2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) alpha))) alpha)>
#<alt (/ (- (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (pow (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) 3) (* (pow alpha 3) (pow (+ 2 (* 2 beta)) 2))))) (+ (* -1/2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) alpha)) (* -1/2 (/ (pow (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) 2) (* (pow alpha 2) (+ 2 (* 2 beta))))))) alpha)>
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))>
#<alt (* -1 (/ (+ (* -1/2 (+ 2 (* 2 beta))) (* -1/2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) alpha))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2))) (* 1/2 (/ (pow (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) 2) (* alpha (+ 2 (* 2 beta)))))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) 2) (+ 2 (* 2 beta)))) (* -1/2 (/ (pow (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) 3) (* alpha (pow (+ 2 (* 2 beta)) 2))))) alpha)) (* 1/2 (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha))>
#<alt (/ 1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))>
#<alt (+ (/ 1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) (/ (* beta (+ 1 (/ 1 alpha))) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2))))>
#<alt (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (pow (+ 1 (/ 1 alpha)) 2) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 3)))) (+ (/ 1 (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2))) (/ 1 (* (pow alpha 2) (pow (+ 1 (* 2 (/ 1 alpha))) 2))))))) (* -1 (/ (+ 1 (/ 1 alpha)) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2)))))) (/ 1 (* alpha (+ 1 (* 2 (/ 1 alpha))))))>
#<alt (+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (+ 1 (/ 1 alpha)) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2)))) (+ (/ (* (+ 1 (/ 1 alpha)) (+ (* -1 (/ (pow (+ 1 (/ 1 alpha)) 2) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 3)))) (+ (/ 1 (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2))) (/ 1 (* (pow alpha 2) (pow (+ 1 (* 2 (/ 1 alpha))) 2)))))) (+ 1 (* 2 (/ 1 alpha)))) (/ (pow (+ 1 (/ 1 alpha)) 2) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 3))))))) (+ (* -1 (/ (pow (+ 1 (/ 1 alpha)) 2) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 3)))) (+ (/ 1 (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2))) (/ 1 (* (pow alpha 2) (pow (+ 1 (* 2 (/ 1 alpha))) 2))))))) (* -1 (/ (+ 1 (/ 1 alpha)) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2)))))) (/ 1 (* alpha (+ 1 (* 2 (/ 1 alpha))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) beta)))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))) (pow beta 2)))) (/ (* alpha (+ 1 (/ 1 alpha))) beta))>
#<alt (- (+ 1 (* -1 (/ (+ (* -1 (* alpha (* (+ 1 (/ 1 alpha)) (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2))))))) (+ (* alpha (+ 1 (/ 1 alpha))) (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))) (pow beta 3)))) (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)) (pow beta 2))) (/ (* alpha (+ 1 (/ 1 alpha))) beta))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) beta)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) beta)) (* -1 (/ (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)) beta))) (* -1 (* alpha (+ 1 (/ 1 alpha))))) beta)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) beta)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)) beta)) (/ (* alpha (* (+ 1 (/ 1 alpha)) (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))))) beta))) (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2))))) beta)) (* -1 (* alpha (+ 1 (/ 1 alpha))))) beta)))>
#<alt (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (pow (+ 2 (* 2 beta)) 2)))>
#<alt (+ (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (pow (+ 2 (* 2 beta)) 2))) (* 2 (/ alpha (+ 2 (* 2 beta)))))>
#<alt (+ (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (pow (+ 2 (* 2 beta)) 2))) (* 2 (/ alpha (+ 2 (* 2 beta)))))>
#<alt (+ (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (pow (+ 2 (* 2 beta)) 2))) (* 2 (/ alpha (+ 2 (* 2 beta)))))>
#<alt (* 2 (/ alpha (+ 2 (* 2 beta))))>
#<alt (* alpha (+ (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta))))))>
#<alt (* alpha (+ (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta))))))>
#<alt (* alpha (+ (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta))))))>
#<alt (* 2 (/ alpha (+ 2 (* 2 beta))))>
#<alt (* -1 (* alpha (- (* 2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta)))))))>
#<alt (* -1 (* alpha (- (* 2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta)))))))>
#<alt (* -1 (* alpha (- (* 2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta)))))))>
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))>
#<alt (+ (* -1 (* alpha (* beta (+ 1 (/ 1 alpha))))) (* alpha (+ 1 (* 2 (/ 1 alpha)))))>
#<alt (+ (* alpha (+ 1 (* 2 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* alpha (* beta (+ 1 (/ 1 alpha)))))))>
#<alt (+ (* alpha (+ 1 (* 2 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (* beta (+ 1 (/ 1 alpha))))) (* alpha (+ 1 (/ 1 alpha))))))))>
#<alt 1>
#<alt (+ 1 (/ (* alpha (+ 1 (/ 1 alpha))) beta))>
#<alt (+ 1 (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)))>
#<alt (+ 1 (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (+ (/ (* alpha (+ 1 (/ 1 alpha))) beta) (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 3)))))>
#<alt 1>
#<alt (+ 1 (/ (* alpha (+ 1 (/ 1 alpha))) beta))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)) beta)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)) beta))) beta)))>
#<alt (+ 1 (* 2 (/ 1 alpha)))>
#<alt (+ 1 (+ (* -1 (* beta (+ 1 (/ 1 alpha)))) (* 2 (/ 1 alpha))))>
#<alt (+ 1 (+ (* 2 (/ 1 alpha)) (* beta (- (* beta (+ 1 (/ 1 alpha))) (+ 1 (/ 1 alpha))))))>
#<alt (+ 1 (+ (* 2 (/ 1 alpha)) (* beta (- (* beta (+ 1 (+ (* -1 (* beta (+ 1 (/ 1 alpha)))) (/ 1 alpha)))) (+ 1 (/ 1 alpha))))))>
#<alt (/ 1 alpha)>
#<alt (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))>
#<alt (+ (* -1 (/ (+ 1 (/ 1 alpha)) (pow beta 2))) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))>
#<alt (- (+ (/ 1 alpha) (+ (/ 1 beta) (+ (/ 1 (* alpha beta)) (+ (/ 1 (* alpha (pow beta 3))) (/ 1 (pow beta 3)))))) (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))>
#<alt (/ 1 alpha)>
#<alt (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))>
#<alt (+ (* -1 (/ (- (+ (/ 1 beta) (/ 1 (* alpha beta))) (+ 1 (/ 1 alpha))) beta)) (/ 1 alpha))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (/ 1 beta) (/ 1 (* alpha beta))) (+ 1 (/ 1 alpha))) beta)) (+ 1 (/ 1 alpha))) beta)) (/ 1 alpha))>
#<alt (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2))))>
#<alt (/ (+ (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (pow (+ 2 (* 2 beta)) 2))) (* 2 (/ alpha (+ 2 (* 2 beta))))) alpha)>
#<alt (/ (+ (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (pow (+ 2 (* 2 beta)) 2))) (* 2 (/ alpha (+ 2 (* 2 beta))))) alpha)>
#<alt (/ (+ (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (pow (+ 2 (* 2 beta)) 2))) (* 2 (/ alpha (+ 2 (* 2 beta))))) alpha)>
#<alt (/ 2 (+ 2 (* 2 beta)))>
#<alt (+ (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta)))))>
#<alt (+ (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta)))))>
#<alt (+ (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta)))))>
#<alt (/ 2 (+ 2 (* 2 beta)))>
#<alt (+ (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta)))))>
#<alt (+ (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta)))))>
#<alt (+ (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta)))))>
#<alt (/ 2 alpha)>
#<alt (+ (* -1 (/ beta alpha)) (* 2 (/ 1 alpha)))>
#<alt (+ (* beta (- (/ beta alpha) (/ 1 alpha))) (* 2 (/ 1 alpha)))>
#<alt (+ (* beta (- (* beta (+ (* -1 (/ beta alpha)) (/ 1 alpha))) (/ 1 alpha))) (* 2 (/ 1 alpha)))>
#<alt (/ 1 alpha)>
#<alt (+ (/ 1 alpha) (/ 1 (* alpha beta)))>
#<alt (- (+ (/ 1 alpha) (/ 1 (* alpha beta))) (/ 1 (* alpha (pow beta 2))))>
#<alt (- (+ (/ 1 alpha) (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 3))))) (/ 1 (* alpha (pow beta 2))))>
#<alt (/ 1 alpha)>
#<alt (+ (/ 1 alpha) (/ 1 (* alpha beta)))>
#<alt (+ (* -1 (/ (- (/ 1 (* alpha beta)) (/ 1 alpha)) beta)) (/ 1 alpha))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (/ 1 (* alpha beta)) (/ 1 alpha)) beta)) (/ 1 alpha)) beta)) (/ 1 alpha))>
#<alt (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2))))>
#<alt (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2))))>
#<alt (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2))))>
#<alt (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2))))>
#<alt (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2))))>
#<alt (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2))))>
#<alt (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2))))>
#<alt (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2))))>
#<alt (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2))))>
#<alt (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2))))>
#<alt (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2))))>
#<alt (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2))))>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt (/ 1 alpha)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 beta))>
#<alt (+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))>
#<alt (+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))>
#<alt 1>
#<alt (- 1 (/ 1 beta))>
#<alt (- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))>
#<alt (- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))>
#<alt 1>
#<alt (- 1 (/ 1 beta))>
#<alt (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))>
#<alt 1>
#<alt (+ 1 (* 1/2 beta))>
#<alt (+ 1 (* beta (+ 1/2 (* -1/4 beta))))>
#<alt (+ 1 (* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4)))))>
#<alt 2>
#<alt (- 2 (* 2 (/ 1 beta)))>
#<alt (- (+ 2 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))>
#<alt (- (+ 2 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))>
#<alt 2>
#<alt (- 2 (* 2 (/ 1 beta)))>
#<alt (+ 2 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))>
#<alt (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))>
#<alt (* 1/2 beta)>
#<alt (* beta (+ 1/2 (* -1/4 beta)))>
#<alt (* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))>
#<alt (* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 beta)))>
#<alt (- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))>
#<alt (- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 beta)))>
#<alt (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))>
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))>
#<alt 2>
#<alt (+ 2 beta)>
#<alt (+ 2 beta)>
#<alt (+ 2 beta)>
#<alt beta>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt beta>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))>
#<alt (* 1/2 (- 2 (* 2 (/ 1 beta))))>
#<alt (+ (* -1 (/ alpha beta)) (* 1/2 (- 2 (* 2 (/ 1 beta)))))>
#<alt (+ (* -1 (/ alpha beta)) (* 1/2 (- 2 (* 2 (/ 1 beta)))))>
#<alt (+ (* -1 (/ alpha beta)) (* 1/2 (- 2 (* 2 (/ 1 beta)))))>
#<alt (* -1 (/ alpha beta))>
#<alt (* alpha (- (* 1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta)))>
#<alt (* alpha (- (* 1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta)))>
#<alt (* alpha (- (* 1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta)))>
#<alt (* -1 (/ alpha beta))>
#<alt (* -1 (* alpha (+ (* -1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta))))>
#<alt (* -1 (* alpha (+ (* -1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta))))>
#<alt (* -1 (* alpha (+ (* -1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta))))>
#<alt (* -1/2 (/ (+ 2 (* 2 alpha)) beta))>
#<alt (/ (+ beta (* -1/2 (+ 2 (* 2 alpha)))) beta)>
#<alt (/ (+ beta (* -1/2 (+ 2 (* 2 alpha)))) beta)>
#<alt (/ (+ beta (* -1/2 (+ 2 (* 2 alpha)))) beta)>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (- 2 (* 2 (/ 1 beta)))>
#<alt (- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))>
#<alt (- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))>
#<alt (- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))>
#<alt (* -2 (/ alpha beta))>
#<alt (* alpha (- (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 beta)) (/ 2 (* alpha beta)))))>
#<alt (* alpha (- (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 beta)) (/ 2 (* alpha beta)))))>
#<alt (* alpha (- (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 beta)) (/ 2 (* alpha beta)))))>
#<alt (* -2 (/ alpha beta))>
#<alt (* -1 (* alpha (+ (* -1 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (* 2 (/ 1 beta)))))>
#<alt (* -1 (* alpha (+ (* -1 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (* 2 (/ 1 beta)))))>
#<alt (* -1 (* alpha (+ (* -1 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (* 2 (/ 1 beta)))))>
#<alt (* -1 (/ (+ 2 (* 2 alpha)) beta))>
#<alt (/ (- (* 2 beta) (+ 2 (* 2 alpha))) beta)>
#<alt (/ (- (* 2 beta) (+ 2 (* 2 alpha))) beta)>
#<alt (/ (- (* 2 beta) (+ 2 (* 2 alpha))) beta)>
#<alt 2>
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt 2>
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))>
#<alt (/ 2 beta)>
#<alt (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))>
#<alt (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))>
#<alt (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))>
#<alt (* 2 (/ alpha beta))>
#<alt (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))>
#<alt (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))>
#<alt (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))>
#<alt (* 2 (/ alpha beta))>
#<alt (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))>
#<alt (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))>
#<alt (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))>
#<alt (/ (+ 2 (* 2 alpha)) beta)>
#<alt (/ (+ 2 (* 2 alpha)) beta)>
#<alt (/ (+ 2 (* 2 alpha)) beta)>
#<alt (/ (+ 2 (* 2 alpha)) beta)>
#<alt (/ (+ 2 (* 2 alpha)) beta)>
#<alt (/ (+ 2 (* 2 alpha)) beta)>
#<alt (/ (+ 2 (* 2 alpha)) beta)>
#<alt (/ (+ 2 (* 2 alpha)) beta)>
#<alt (/ (+ 2 (* 2 alpha)) beta)>
#<alt (/ (+ 2 (* 2 alpha)) beta)>
#<alt (/ (+ 2 (* 2 alpha)) beta)>
#<alt (/ (+ 2 (* 2 alpha)) beta)>
#<alt 2>
#<alt (+ 2 (* 2 alpha))>
#<alt (+ 2 (* 2 alpha))>
#<alt (+ 2 (* 2 alpha))>
#<alt (* 2 alpha)>
#<alt (* alpha (+ 2 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 2 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 2 (* 2 (/ 1 alpha))))>
#<alt (* 2 alpha)>
#<alt (* alpha (+ 2 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 2 (* 2 (/ 1 alpha))))>
#<alt (* alpha (+ 2 (* 2 (/ 1 alpha))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 alpha))>
#<alt (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))>
#<alt (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))>
#<alt (/ 1 alpha)>
#<alt (/ (- 1 (* 2 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)>
#<alt (/ 1 alpha)>
#<alt (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))>
#<alt 1>
#<alt (+ 1 (* -1/2 alpha))>
#<alt (+ 1 (* alpha (- (* 1/4 alpha) 1/2)))>
#<alt (+ 1 (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2)))>
#<alt (/ 2 alpha)>
#<alt (/ (- 2 (* 4 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 2 (/ 8 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 2 (/ 8 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))) alpha)>
#<alt (/ 2 alpha)>
#<alt (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow alpha 2)))>
#<alt (+ 1 (* (pow alpha 2) (- (* 1/4 alpha) 1/4)))>
#<alt (+ 1 (* (pow alpha 2) (- (* alpha (+ 1/4 (* -3/16 alpha))) 1/4)))>
#<alt (/ 4 alpha)>
#<alt (/ (- 4 (* 12 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 4 (/ 32 (pow alpha 2))) (* 12 (/ 1 alpha))) alpha)>
#<alt (/ (- (+ 4 (/ 32 (pow alpha 2))) (+ (* 12 (/ 1 alpha)) (* 80 (/ 1 (pow alpha 3))))) alpha)>
#<alt (/ 4 alpha)>
#<alt (* -1 (/ (- (* 12 (/ 1 alpha)) 4) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 32 (/ 1 alpha)) 12) alpha)) 4) alpha))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 80 (/ 1 alpha)) 32) alpha)) 12) alpha)) 4) alpha))>
#<alt (* 1/4 (pow alpha 2))>
#<alt (* (pow alpha 2) (+ 1/4 (* -1/4 alpha)))>
#<alt (* (pow alpha 2) (+ 1/4 (* alpha (- (* 3/16 alpha) 1/4))))>
#<alt (* (pow alpha 2) (+ 1/4 (* alpha (- (* alpha (+ 3/16 (* -1/8 alpha))) 1/4))))>
#<alt 1>
#<alt (- 1 (* 4 (/ 1 alpha)))>
#<alt (- (+ 1 (/ 12 (pow alpha 2))) (* 4 (/ 1 alpha)))>
#<alt (- (+ 1 (/ 12 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 32 (/ 1 (pow alpha 3)))))>
#<alt 1>
#<alt (- 1 (* 4 (/ 1 alpha)))>
#<alt (+ 1 (* -1 (/ (- 4 (* 12 (/ 1 alpha))) alpha)))>
#<alt (+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 12 (* 32 (/ 1 alpha))) alpha))) alpha)))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* alpha (pow (+ 2 (* 2 beta)) 2))>
#<alt (* 4 alpha)>
#<alt (+ (* 4 alpha) (* 8 (* alpha beta)))>
#<alt (+ (* 4 alpha) (* beta (+ (* 4 (* alpha beta)) (* 8 alpha))))>
#<alt (+ (* 4 alpha) (* beta (+ (* 4 (* alpha beta)) (* 8 alpha))))>
#<alt (* 4 (* alpha (pow beta 2)))>
#<alt (* (pow beta 2) (+ (* 4 alpha) (* 8 (/ alpha beta))))>
#<alt (* (pow beta 2) (+ (* 4 alpha) (+ (* 4 (/ alpha (pow beta 2))) (* 8 (/ alpha beta)))))>
#<alt (* (pow beta 2) (+ (* 4 alpha) (+ (* 4 (/ alpha (pow beta 2))) (* 8 (/ alpha beta)))))>
#<alt (* 4 (* alpha (pow beta 2)))>
#<alt (* (pow beta 2) (+ (* 4 alpha) (* 8 (/ alpha beta))))>
#<alt (* (pow beta 2) (+ (* -1 (/ (+ (* -8 alpha) (* -4 (/ alpha beta))) beta)) (* 4 alpha)))>
#<alt (* (pow beta 2) (+ (* -1 (/ (+ (* -8 alpha) (* -4 (/ alpha beta))) beta)) (* 4 alpha)))>
#<alt (* 2 alpha)>
#<alt (* 2 alpha)>
#<alt (* 2 alpha)>
#<alt (* 2 alpha)>
#<alt (* 2 alpha)>
#<alt (* 2 alpha)>
#<alt (* 2 alpha)>
#<alt (* 2 alpha)>
#<alt (* 2 alpha)>
#<alt (* 2 alpha)>
#<alt (* 2 alpha)>
#<alt (* 2 alpha)>
#<alt (* 1/2 alpha)>
#<alt (* alpha (+ 1/2 (* -1/4 alpha)))>
#<alt (* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))))>
#<alt (* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 alpha)))>
#<alt (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))>
#<alt (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 alpha)))>
#<alt (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))>
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) alpha)))>

Calls

84 calls:

Time	Variable		Point	Expression
11.0ms	beta	@	inf	(/ (- 2 (/ (+ 2 (* alpha 2)) beta)) 2)
2.0ms	beta	@	inf	(+ (/ beta (+ 2 beta)) 1)
2.0ms	beta	@	0	(/ 1 (* alpha (+ (/ (* -2 (+ (- 0 (* (+ 2 beta) (+ 2 beta))) (* (- -2 beta) beta))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta))))) (/ 2 (+ 2 (* 2 beta))))))
1.0ms	alpha	@	0	(* alpha (+ (/ (* -2 (+ (- 0 (* (+ 2 beta) (+ 2 beta))) (* (- -2 beta) beta))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta))))) (/ 2 (+ 2 (* 2 beta)))))
1.0ms	beta	@	-inf	(* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta))))

rewrite382.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3552×	`-lowering-.f32`
3552×	`-lowering-.f64`
2014×	`/-lowering-/.f32`
2014×	`/-lowering-/.f64`
1792×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	268
1	331	213
2	3718	209
0	8238	209

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 546

Calls

Call 1

Inputs
(/ 1 (* alpha (+ (/ (* -2 (+ (- 0 (* (+ 2 beta) (+ 2 beta))) (* (- -2 beta) beta))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta))))) (/ 2 (+ 2 (* 2 beta))))))
(* alpha (+ (/ (* -2 (+ (- 0 (* (+ 2 beta) (+ 2 beta))) (* (- -2 beta) beta))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta))))) (/ 2 (+ 2 (* 2 beta)))))
(+ (/ (* -2 (+ (- 0 (* (+ 2 beta) (+ 2 beta))) (* (- -2 beta) beta))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta))))) (/ 2 (+ 2 (* 2 beta))))
(/ (* -2 (+ (- 0 (* (+ 2 beta) (+ 2 beta))) (* (- -2 beta) beta))) (* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta)))))
(/ 1 alpha)
(/ (+ (/ beta (+ 2 beta)) 1) 2)
(+ (/ beta (+ 2 beta)) 1)
(/ beta (+ 2 beta))
(+ 2 beta)
(/ (- 2 (/ (+ 2 (* alpha 2)) beta)) 2)
(- 2 (/ (+ 2 (* alpha 2)) beta))
(/ (+ 2 (* alpha 2)) beta)
(+ 2 (* alpha 2))
(/ (/ (- 1 (/ (/ alpha (+ alpha 2)) (/ (+ alpha 2) alpha))) (+ 1 (/ alpha (+ alpha 2)))) 2)
(/ (- 1 (/ (/ alpha (+ alpha 2)) (/ (+ alpha 2) alpha))) (+ 1 (/ alpha (+ alpha 2))))
(- 1 (/ (/ alpha (+ alpha 2)) (/ (+ alpha 2) alpha)))
(/ (/ alpha (+ alpha 2)) (/ (+ alpha 2) alpha))
(* alpha (* (+ 2 (* 2 beta)) (+ 2 (* 2 beta))))
(* alpha 2)
(/ alpha (+ alpha 2))

Outputs
(exp.f64 (.f64 (log.f64 (.f64 alpha (+.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (.f64 beta (-.f64 #s(literal -2 binary64) beta))) (/.f64 #s(literal -2 binary64) alpha)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (.f64 alpha (+.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (.f64 beta (-.f64 #s(literal -2 binary64) beta))) (/.f64 #s(literal -2 binary64) alpha)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))))))
(/.f64 #s(literal 1 binary64) (.f64 alpha (+.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (.f64 beta (-.f64 #s(literal -2 binary64) beta))) (/.f64 #s(literal -2 binary64) alpha)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 alpha (+.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (.f64 beta (-.f64 #s(literal -2 binary64) beta))) (/.f64 #s(literal -2 binary64) alpha)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (.f64 beta (-.f64 #s(literal -2 binary64) beta))) (/.f64 #s(literal -2 binary64) alpha)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))) (/.f64 #s(literal 1 binary64) alpha)))
(/.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (.f64 beta (-.f64 #s(literal -2 binary64) beta))) (/.f64 #s(literal -2 binary64) alpha)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 alpha (+.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (.f64 beta (-.f64 #s(literal -2 binary64) beta))) (/.f64 #s(literal -2 binary64) alpha)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) alpha)) (neg.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (.f64 beta (-.f64 #s(literal -2 binary64) beta))) (/.f64 #s(literal -2 binary64) alpha)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (.f64 beta (-.f64 #s(literal -2 binary64) beta))) (/.f64 #s(literal -2 binary64) alpha)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))) alpha)
(pow.f64 (.f64 alpha (+.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (.f64 beta (-.f64 #s(literal -2 binary64) beta))) (/.f64 #s(literal -2 binary64) alpha)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 alpha (+.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (.f64 beta (-.f64 #s(literal -2 binary64) beta))) (/.f64 #s(literal -2 binary64) alpha)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (.f64 beta (-.f64 #s(literal -2 binary64) beta))) (/.f64 #s(literal -2 binary64) alpha)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))) (/.f64 #s(literal 1 binary64) alpha)) #s(literal -1 binary64))
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) alpha))) (-.f64 #s(literal 0 binary64) alpha))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) alpha))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) alpha)) #s(literal -1 binary64)))
(.f64 (/.f64 alpha (+.f64 #s(literal 8 binary64) (.f64 alpha (.f64 alpha alpha)))) (+.f64 (.f64 alpha alpha) (-.f64 #s(literal 4 binary64) (*.f64 alpha #s(literal 2 binary64)))))
(.f64 (/.f64 alpha (+.f64 (.f64 alpha alpha) #s(literal -4 binary64))) (+.f64 alpha #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) alpha)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) alpha))))
(.f64 (pow.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) alpha)

simplify330.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

3798×	`-lowering-.f32`
3798×	`-lowering-.f64`
2978×	`+-lowering-+.f64`
2978×	`+-lowering-+.f32`
1886×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	612	4451
1	2101	3816
2	6994	3811
0	8175	3811

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

Calls

Call 1

Inputs
(* -1/2 (/ (pow (+ 2 (* 2 beta)) 2) (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2))))
(+ (* -1/2 (/ (* alpha (pow (+ 2 (* 2 beta)) 3)) (pow (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) 2))) (* -1/2 (/ (pow (+ 2 (* 2 beta)) 2) (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)))))
(+ (* -1/2 (/ (pow (+ 2 (* 2 beta)) 2) (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)))) (* alpha (- (* -1/2 (/ (* alpha (pow (+ 2 (* 2 beta)) 4)) (pow (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) 3))) (* 1/2 (/ (pow (+ 2 (* 2 beta)) 3) (pow (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) 2))))))
(+ (* -1/2 (/ (pow (+ 2 (* 2 beta)) 2) (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)))) (* alpha (- (* alpha (- (* -1/2 (/ (* alpha (pow (+ 2 (* 2 beta)) 5)) (pow (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) 4))) (* 1/2 (/ (pow (+ 2 (* 2 beta)) 4) (pow (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) 3))))) (* 1/2 (/ (pow (+ 2 (* 2 beta)) 3) (pow (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) 2))))))
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) alpha))) alpha)
(/ (- (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (pow (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) 2) (* (pow alpha 2) (+ 2 (* 2 beta)))))) (* -1/2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) alpha))) alpha)
(/ (- (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (pow (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) 3) (* (pow alpha 3) (pow (+ 2 (* 2 beta)) 2))))) (+ (* -1/2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) alpha)) (* -1/2 (/ (pow (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) 2) (* (pow alpha 2) (+ 2 (* 2 beta))))))) alpha)
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(* -1 (/ (+ (* -1/2 (+ 2 (* 2 beta))) (* -1/2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) alpha))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2))) (* 1/2 (/ (pow (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) 2) (* alpha (+ 2 (* 2 beta)))))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) 2) (+ 2 (* 2 beta)))) (* -1/2 (/ (pow (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) 3) (* alpha (pow (+ 2 (* 2 beta)) 2))))) alpha)) (* 1/2 (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha))
(/ 1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(+ (/ 1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) (/ (* beta (+ 1 (/ 1 alpha))) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2))))
(+ (* beta (- (* -1 (* beta (+ (* -1 (/ (pow (+ 1 (/ 1 alpha)) 2) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 3)))) (+ (/ 1 (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2))) (/ 1 (* (pow alpha 2) (pow (+ 1 (* 2 (/ 1 alpha))) 2))))))) (* -1 (/ (+ 1 (/ 1 alpha)) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2)))))) (/ 1 (* alpha (+ 1 (* 2 (/ 1 alpha))))))
(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (+ 1 (/ 1 alpha)) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2)))) (+ (/ (* (+ 1 (/ 1 alpha)) (+ (* -1 (/ (pow (+ 1 (/ 1 alpha)) 2) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 3)))) (+ (/ 1 (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2))) (/ 1 (* (pow alpha 2) (pow (+ 1 (* 2 (/ 1 alpha))) 2)))))) (+ 1 (* 2 (/ 1 alpha)))) (/ (pow (+ 1 (/ 1 alpha)) 2) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 3))))))) (+ (* -1 (/ (pow (+ 1 (/ 1 alpha)) 2) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 3)))) (+ (/ 1 (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2))) (/ 1 (* (pow alpha 2) (pow (+ 1 (* 2 (/ 1 alpha))) 2))))))) (* -1 (/ (+ 1 (/ 1 alpha)) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2)))))) (/ 1 (* alpha (+ 1 (* 2 (/ 1 alpha))))))
1
(+ 1 (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) beta)))
(- (+ 1 (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))) (pow beta 2)))) (/ (* alpha (+ 1 (/ 1 alpha))) beta))
(- (+ 1 (* -1 (/ (+ (* -1 (* alpha (* (+ 1 (/ 1 alpha)) (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2))))))) (+ (* alpha (+ 1 (/ 1 alpha))) (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))) (pow beta 3)))) (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)) (pow beta 2))) (/ (* alpha (+ 1 (/ 1 alpha))) beta))))
1
(+ 1 (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) beta)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) beta)) (* -1 (/ (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)) beta))) (* -1 (* alpha (+ 1 (/ 1 alpha))))) beta)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) beta)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)) beta)) (/ (* alpha (* (+ 1 (/ 1 alpha)) (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))))) beta))) (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2))))) beta)) (* -1 (* alpha (+ 1 (/ 1 alpha))))) beta)))
(* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (pow (+ 2 (* 2 beta)) 2)))
(+ (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (pow (+ 2 (* 2 beta)) 2))) (* 2 (/ alpha (+ 2 (* 2 beta)))))
(+ (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (pow (+ 2 (* 2 beta)) 2))) (* 2 (/ alpha (+ 2 (* 2 beta)))))
(+ (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (pow (+ 2 (* 2 beta)) 2))) (* 2 (/ alpha (+ 2 (* 2 beta)))))
(* 2 (/ alpha (+ 2 (* 2 beta))))
(* alpha (+ (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta))))))
(* alpha (+ (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta))))))
(* alpha (+ (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta))))))
(* 2 (/ alpha (+ 2 (* 2 beta))))
(* -1 (* alpha (- (* 2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta)))))))
(* -1 (* alpha (- (* 2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta)))))))
(* -1 (* alpha (- (* 2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta)))))))
(* alpha (+ 1 (* 2 (/ 1 alpha))))
(+ (* -1 (* alpha (* beta (+ 1 (/ 1 alpha))))) (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(+ (* alpha (+ 1 (* 2 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* alpha (* beta (+ 1 (/ 1 alpha)))))))
(+ (* alpha (+ 1 (* 2 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* beta (+ (* -1 (* alpha (* beta (+ 1 (/ 1 alpha))))) (* alpha (+ 1 (/ 1 alpha))))))))
1
(+ 1 (/ (* alpha (+ 1 (/ 1 alpha))) beta))
(+ 1 (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)))
(+ 1 (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (+ (/ (* alpha (+ 1 (/ 1 alpha))) beta) (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 3)))))
1
(+ 1 (/ (* alpha (+ 1 (/ 1 alpha))) beta))
(+ 1 (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)) beta)))
(+ 1 (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (/ (* alpha (+ 1 (/ 1 alpha))) beta)) beta))) beta)))
(+ 1 (* 2 (/ 1 alpha)))
(+ 1 (+ (* -1 (* beta (+ 1 (/ 1 alpha)))) (* 2 (/ 1 alpha))))
(+ 1 (+ (* 2 (/ 1 alpha)) (* beta (- (* beta (+ 1 (/ 1 alpha))) (+ 1 (/ 1 alpha))))))
(+ 1 (+ (* 2 (/ 1 alpha)) (* beta (- (* beta (+ 1 (+ (* -1 (* beta (+ 1 (/ 1 alpha)))) (/ 1 alpha)))) (+ 1 (/ 1 alpha))))))
(/ 1 alpha)
(+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))
(+ (* -1 (/ (+ 1 (/ 1 alpha)) (pow beta 2))) (+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))
(- (+ (/ 1 alpha) (+ (/ 1 beta) (+ (/ 1 (* alpha beta)) (+ (/ 1 (* alpha (pow beta 3))) (/ 1 (pow beta 3)))))) (+ (/ 1 (* alpha (pow beta 2))) (/ 1 (pow beta 2))))
(/ 1 alpha)
(+ (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))
(+ (* -1 (/ (- (+ (/ 1 beta) (/ 1 (* alpha beta))) (+ 1 (/ 1 alpha))) beta)) (/ 1 alpha))
(+ (* -1 (/ (- (* -1 (/ (- (+ (/ 1 beta) (/ 1 (* alpha beta))) (+ 1 (/ 1 alpha))) beta)) (+ 1 (/ 1 alpha))) beta)) (/ 1 alpha))
(* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2))))
(/ (+ (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (pow (+ 2 (* 2 beta)) 2))) (* 2 (/ alpha (+ 2 (* 2 beta))))) alpha)
(/ (+ (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (pow (+ 2 (* 2 beta)) 2))) (* 2 (/ alpha (+ 2 (* 2 beta))))) alpha)
(/ (+ (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (pow (+ 2 (* 2 beta)) 2))) (* 2 (/ alpha (+ 2 (* 2 beta))))) alpha)
(/ 2 (+ 2 (* 2 beta)))
(+ (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta)))))
(+ (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta)))))
(+ (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta)))))
(/ 2 (+ 2 (* 2 beta)))
(+ (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta)))))
(+ (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta)))))
(+ (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta)))))
(/ 2 alpha)
(+ (* -1 (/ beta alpha)) (* 2 (/ 1 alpha)))
(+ (* beta (- (/ beta alpha) (/ 1 alpha))) (* 2 (/ 1 alpha)))
(+ (* beta (- (* beta (+ (* -1 (/ beta alpha)) (/ 1 alpha))) (/ 1 alpha))) (* 2 (/ 1 alpha)))
(/ 1 alpha)
(+ (/ 1 alpha) (/ 1 (* alpha beta)))
(- (+ (/ 1 alpha) (/ 1 (* alpha beta))) (/ 1 (* alpha (pow beta 2))))
(- (+ (/ 1 alpha) (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 3))))) (/ 1 (* alpha (pow beta 2))))
(/ 1 alpha)
(+ (/ 1 alpha) (/ 1 (* alpha beta)))
(+ (* -1 (/ (- (/ 1 (* alpha beta)) (/ 1 alpha)) beta)) (/ 1 alpha))
(+ (* -1 (/ (- (* -1 (/ (- (/ 1 (* alpha beta)) (/ 1 alpha)) beta)) (/ 1 alpha)) beta)) (/ 1 alpha))
(* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2))))
(* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2))))
(* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2))))
(* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2))))
(* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2))))
(* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2))))
(* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2))))
(* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2))))
(* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2))))
(* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2))))
(* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2))))
(* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2))))
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
(/ 1 alpha)
1/2
(+ 1/2 (* 1/4 beta))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
1
(- 1 (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
1
(- 1 (/ 1 beta))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
1
(+ 1 (* 1/2 beta))
(+ 1 (* beta (+ 1/2 (* -1/4 beta))))
(+ 1 (* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4)))))
2
(- 2 (* 2 (/ 1 beta)))
(- (+ 2 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(- (+ 2 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
2
(- 2 (* 2 (/ 1 beta)))
(+ 2 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))
(* 1/2 beta)
(* beta (+ 1/2 (* -1/4 beta)))
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))
1
(- 1 (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
1
(- 1 (* 2 (/ 1 beta)))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))
2
(+ 2 beta)
(+ 2 beta)
(+ 2 beta)
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(* beta (+ 1 (* 2 (/ 1 beta))))
(* 1/2 (- 2 (* 2 (/ 1 beta))))
(+ (* -1 (/ alpha beta)) (* 1/2 (- 2 (* 2 (/ 1 beta)))))
(+ (* -1 (/ alpha beta)) (* 1/2 (- 2 (* 2 (/ 1 beta)))))
(+ (* -1 (/ alpha beta)) (* 1/2 (- 2 (* 2 (/ 1 beta)))))
(* -1 (/ alpha beta))
(* alpha (- (* 1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta)))
(* alpha (- (* 1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta)))
(* alpha (- (* 1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta)))
(* -1 (/ alpha beta))
(* -1 (* alpha (+ (* -1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta))))
(* -1 (* alpha (+ (* -1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta))))
(* -1 (* alpha (+ (* -1/2 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (/ 1 beta))))
(* -1/2 (/ (+ 2 (* 2 alpha)) beta))
(/ (+ beta (* -1/2 (+ 2 (* 2 alpha)))) beta)
(/ (+ beta (* -1/2 (+ 2 (* 2 alpha)))) beta)
(/ (+ beta (* -1/2 (+ 2 (* 2 alpha)))) beta)
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
1
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))
(- 2 (* 2 (/ 1 beta)))
(- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))
(- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))
(- (+ 2 (* -2 (/ alpha beta))) (* 2 (/ 1 beta)))
(* -2 (/ alpha beta))
(* alpha (- (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 beta)) (/ 2 (* alpha beta)))))
(* alpha (- (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 beta)) (/ 2 (* alpha beta)))))
(* alpha (- (* 2 (/ 1 alpha)) (+ (* 2 (/ 1 beta)) (/ 2 (* alpha beta)))))
(* -2 (/ alpha beta))
(* -1 (* alpha (+ (* -1 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (* 2 (/ 1 beta)))))
(* -1 (* alpha (+ (* -1 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (* 2 (/ 1 beta)))))
(* -1 (* alpha (+ (* -1 (/ (- 2 (* 2 (/ 1 beta))) alpha)) (* 2 (/ 1 beta)))))
(* -1 (/ (+ 2 (* 2 alpha)) beta))
(/ (- (* 2 beta) (+ 2 (* 2 alpha))) beta)
(/ (- (* 2 beta) (+ 2 (* 2 alpha))) beta)
(/ (- (* 2 beta) (+ 2 (* 2 alpha))) beta)
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
2
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))
(/ 2 beta)
(+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))
(+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))
(+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))
(* 2 (/ alpha beta))
(* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))
(* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))
(* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))
(* 2 (/ alpha beta))
(* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))
(* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))
(* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
(/ (+ 2 (* 2 alpha)) beta)
2
(+ 2 (* 2 alpha))
(+ 2 (* 2 alpha))
(+ 2 (* 2 alpha))
(* 2 alpha)
(* alpha (+ 2 (* 2 (/ 1 alpha))))
(* alpha (+ 2 (* 2 (/ 1 alpha))))
(* alpha (+ 2 (* 2 (/ 1 alpha))))
(* 2 alpha)
(* alpha (+ 2 (* 2 (/ 1 alpha))))
(* alpha (+ 2 (* 2 (/ 1 alpha))))
(* alpha (+ 2 (* 2 (/ 1 alpha))))
1/2
(+ 1/2 (* -1/4 alpha))
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))
(/ 1 alpha)
(/ (- 1 (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)
(/ 1 alpha)
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))
1
(+ 1 (* -1/2 alpha))
(+ 1 (* alpha (- (* 1/4 alpha) 1/2)))
(+ 1 (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2)))
(/ 2 alpha)
(/ (- 2 (* 4 (/ 1 alpha))) alpha)
(/ (- (+ 2 (/ 8 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)
(/ (- (+ 2 (/ 8 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))) alpha)
(/ 2 alpha)
(* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha))
1
(+ 1 (* -1/4 (pow alpha 2)))
(+ 1 (* (pow alpha 2) (- (* 1/4 alpha) 1/4)))
(+ 1 (* (pow alpha 2) (- (* alpha (+ 1/4 (* -3/16 alpha))) 1/4)))
(/ 4 alpha)
(/ (- 4 (* 12 (/ 1 alpha))) alpha)
(/ (- (+ 4 (/ 32 (pow alpha 2))) (* 12 (/ 1 alpha))) alpha)
(/ (- (+ 4 (/ 32 (pow alpha 2))) (+ (* 12 (/ 1 alpha)) (* 80 (/ 1 (pow alpha 3))))) alpha)
(/ 4 alpha)
(* -1 (/ (- (* 12 (/ 1 alpha)) 4) alpha))
(* -1 (/ (- (* -1 (/ (- (* 32 (/ 1 alpha)) 12) alpha)) 4) alpha))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 80 (/ 1 alpha)) 32) alpha)) 12) alpha)) 4) alpha))
(* 1/4 (pow alpha 2))
(* (pow alpha 2) (+ 1/4 (* -1/4 alpha)))
(* (pow alpha 2) (+ 1/4 (* alpha (- (* 3/16 alpha) 1/4))))
(* (pow alpha 2) (+ 1/4 (* alpha (- (* alpha (+ 3/16 (* -1/8 alpha))) 1/4))))
1
(- 1 (* 4 (/ 1 alpha)))
(- (+ 1 (/ 12 (pow alpha 2))) (* 4 (/ 1 alpha)))
(- (+ 1 (/ 12 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 32 (/ 1 (pow alpha 3)))))
1
(- 1 (* 4 (/ 1 alpha)))
(+ 1 (* -1 (/ (- 4 (* 12 (/ 1 alpha))) alpha)))
(+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 12 (* 32 (/ 1 alpha))) alpha))) alpha)))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(* 4 alpha)
(+ (* 4 alpha) (* 8 (* alpha beta)))
(+ (* 4 alpha) (* beta (+ (* 4 (* alpha beta)) (* 8 alpha))))
(+ (* 4 alpha) (* beta (+ (* 4 (* alpha beta)) (* 8 alpha))))
(* 4 (* alpha (pow beta 2)))
(* (pow beta 2) (+ (* 4 alpha) (* 8 (/ alpha beta))))
(* (pow beta 2) (+ (* 4 alpha) (+ (* 4 (/ alpha (pow beta 2))) (* 8 (/ alpha beta)))))
(* (pow beta 2) (+ (* 4 alpha) (+ (* 4 (/ alpha (pow beta 2))) (* 8 (/ alpha beta)))))
(* 4 (* alpha (pow beta 2)))
(* (pow beta 2) (+ (* 4 alpha) (* 8 (/ alpha beta))))
(* (pow beta 2) (+ (* -1 (/ (+ (* -8 alpha) (* -4 (/ alpha beta))) beta)) (* 4 alpha)))
(* (pow beta 2) (+ (* -1 (/ (+ (* -8 alpha) (* -4 (/ alpha beta))) beta)) (* 4 alpha)))
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 1/2 alpha)
(* alpha (+ 1/2 (* -1/4 alpha)))
(* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))))
(* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))))
1
(- 1 (* 2 (/ 1 alpha)))
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))
(- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))))
1
(- 1 (* 2 (/ 1 alpha)))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) alpha)))

Outputs
(* -1/2 (/ (pow (+ 2 (* 2 beta)) 2) (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2))))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (neg.f64 beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta))))
(+ (* -1/2 (/ (* alpha (pow (+ 2 (* 2 beta)) 3)) (pow (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) 2))) (* -1/2 (/ (pow (+ 2 (* 2 beta)) 2) (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)))))
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(+ (* -1/2 (/ (pow (+ 2 (* 2 beta)) 2) (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)))) (* alpha (- (* -1/2 (/ (* alpha (pow (+ 2 (* 2 beta)) 4)) (pow (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) 3))) (* 1/2 (/ (pow (+ 2 (* 2 beta)) 3) (pow (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) 2))))))
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(+ (* -1/2 (/ (pow (+ 2 (* 2 beta)) 2) (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)))) (* alpha (- (* alpha (- (* -1/2 (/ (* alpha (pow (+ 2 (* 2 beta)) 5)) (pow (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) 4))) (* 1/2 (/ (pow (+ 2 (* 2 beta)) 4) (pow (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) 3))))) (* 1/2 (/ (pow (+ 2 (* 2 beta)) 3) (pow (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) 2))))))
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) alpha))) alpha)
(/.f64 (+.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal 1/2 binary64) alpha))) alpha)
(/ (- (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (pow (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) 2) (* (pow alpha 2) (+ 2 (* 2 beta)))))) (* -1/2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) alpha))) alpha)
(/.f64 (+.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 (/.f64 (.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64)) (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta)))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (.f64 alpha alpha))) (.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal 1/2 binary64) alpha)))) alpha)
(/ (- (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (pow (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) 3) (* (pow alpha 3) (pow (+ 2 (* 2 beta)) 2))))) (+ (* -1/2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) alpha)) (* -1/2 (/ (pow (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) 2) (* (pow alpha 2) (+ 2 (* 2 beta))))))) alpha)
(/.f64 (+.f64 (+.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta))) (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta))) (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta))))) (.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) (.f64 alpha (.f64 alpha alpha)))))) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta))) alpha) (/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta))) (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta)))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (.f64 alpha alpha)))))) alpha)
(* 1/2 (/ (+ 2 (* 2 beta)) alpha))
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(* -1 (/ (+ (* -1/2 (+ 2 (* 2 beta))) (* -1/2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) alpha))) alpha))
(/.f64 (+.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal 1/2 binary64) alpha))) alpha)
(* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2))) (* 1/2 (/ (pow (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) 2) (* alpha (+ 2 (* 2 beta)))))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha))
(/.f64 (+.f64 (+.f64 #s(literal -1 binary64) (neg.f64 beta)) (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta))) (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta)))) (.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)) alpha)))) alpha)) (neg.f64 alpha))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) 2) (+ 2 (* 2 beta)))) (* -1/2 (/ (pow (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) 3) (* alpha (pow (+ 2 (* 2 beta)) 2))))) alpha)) (* 1/2 (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)))) alpha)) (* -1/2 (+ 2 (* 2 beta)))) alpha))
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(/ 1 (* alpha (+ 1 (* 2 (/ 1 alpha)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))
(+ (/ 1 (* alpha (+ 1 (* 2 (/ 1 alpha))))) (/ (* beta (+ 1 (/ 1 alpha))) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2))))
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(+ (* beta (- (* -1 (* beta (+ (* -1 (/ (pow (+ 1 (/ 1 alpha)) 2) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 3)))) (+ (/ 1 (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2))) (/ 1 (* (pow alpha 2) (pow (+ 1 (* 2 (/ 1 alpha))) 2))))))) (* -1 (/ (+ 1 (/ 1 alpha)) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2)))))) (/ 1 (* alpha (+ 1 (* 2 (/ 1 alpha))))))
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(+ (* beta (- (* beta (- (* -1 (* beta (+ (* -1 (/ (+ 1 (/ 1 alpha)) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2)))) (+ (/ (* (+ 1 (/ 1 alpha)) (+ (* -1 (/ (pow (+ 1 (/ 1 alpha)) 2) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 3)))) (+ (/ 1 (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2))) (/ 1 (* (pow alpha 2) (pow (+ 1 (* 2 (/ 1 alpha))) 2)))))) (+ 1 (* 2 (/ 1 alpha)))) (/ (pow (+ 1 (/ 1 alpha)) 2) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 3))))))) (+ (* -1 (/ (pow (+ 1 (/ 1 alpha)) 2) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 3)))) (+ (/ 1 (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2))) (/ 1 (* (pow alpha 2) (pow (+ 1 (* 2 (/ 1 alpha))) 2))))))) (* -1 (/ (+ 1 (/ 1 alpha)) (* alpha (pow (+ 1 (* 2 (/ 1 alpha))) 2)))))) (/ 1 (* alpha (+ 1 (* 2 (/ 1 alpha))))))
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1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta))
(- (+ 1 (* -1 (/ (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))) (pow beta 2)))) (/ (* alpha (+ 1 (/ 1 alpha))) beta))
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(- (+ 1 (* -1 (/ (+ (* -1 (* alpha (* (+ 1 (/ 1 alpha)) (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2))))))) (+ (* alpha (+ 1 (/ 1 alpha))) (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))) (pow beta 3)))) (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) (pow beta 2))) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)) (pow beta 2))) (/ (* alpha (+ 1 (/ 1 alpha))) beta))))
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1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) beta)) (* -1 (/ (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)) beta))) (* -1 (* alpha (+ 1 (/ 1 alpha))))) beta)))
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(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* alpha (+ 1 (/ 1 alpha))) beta)) (+ (* -1 (/ (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)) beta)) (/ (* alpha (* (+ 1 (/ 1 alpha)) (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2)))))) beta))) (+ (* -1 (* alpha (+ 1 (/ 1 alpha)))) (* -1 (* (pow alpha 2) (pow (+ 1 (/ 1 alpha)) 2))))) beta)) (* -1 (* alpha (+ 1 (/ 1 alpha))))) beta)))
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(* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (pow (+ 2 (* 2 beta)) 2)))
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(+ (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (pow (+ 2 (* 2 beta)) 2))) (* 2 (/ alpha (+ 2 (* 2 beta)))))
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(* 2 (/ alpha (+ 2 (* 2 beta))))
(/.f64 (.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))
(* alpha (+ (* -2 (/ (- (* -1 (* beta (+ 2 beta))) (pow (+ 2 beta) 2)) (* alpha (pow (+ 2 (* 2 beta)) 2)))) (* 2 (/ 1 (+ 2 (* 2 beta))))))
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(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha)) alpha)) alpha)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 alpha))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) alpha))
(+ 1 (* alpha (- (* 1/4 alpha) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 alpha (+.f64 #s(literal -1/2 binary64) (.f64 alpha #s(literal 1/4 binary64)))))
(+ 1 (* alpha (- (* alpha (+ 1/4 (* -1/8 alpha))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 alpha (+.f64 #s(literal -1/2 binary64) (.f64 alpha (+.f64 #s(literal 1/4 binary64) (*.f64 alpha #s(literal -1/8 binary64)))))))
(/ 2 alpha)
(/.f64 #s(literal 2 binary64) alpha)
(/ (- 2 (* 4 (/ 1 alpha))) alpha)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) alpha)
(/ (- (+ 2 (/ 8 (pow alpha 2))) (* 4 (/ 1 alpha))) alpha)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal -4 binary64)) alpha)) alpha)
(/ (- (+ 2 (/ 8 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 16 (/ 1 (pow alpha 3))))) alpha)
(/.f64 (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal -4 binary64)) alpha) (/.f64 #s(literal 16 binary64) (.f64 alpha (.f64 alpha alpha))))) alpha)
(/ 2 alpha)
(/.f64 #s(literal 2 binary64) alpha)
(* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) alpha)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha)) alpha)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 alpha)) 8) alpha)) 4) alpha)) 2) alpha))
(/.f64 (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) alpha) #s(literal -8 binary64)) (neg.f64 alpha)) #s(literal -4 binary64)) alpha))) (neg.f64 alpha))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow alpha 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 alpha alpha) #s(literal -1/4 binary64)))
(+ 1 (* (pow alpha 2) (- (* 1/4 alpha) 1/4)))
(+.f64 #s(literal 1 binary64) (.f64 alpha (.f64 alpha (+.f64 #s(literal -1/4 binary64) (*.f64 alpha #s(literal 1/4 binary64))))))
(+ 1 (* (pow alpha 2) (- (* alpha (+ 1/4 (* -3/16 alpha))) 1/4)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 alpha alpha) (+.f64 #s(literal -1/4 binary64) (.f64 alpha (+.f64 #s(literal 1/4 binary64) (.f64 alpha #s(literal -3/16 binary64)))))))
(/ 4 alpha)
(/.f64 #s(literal 4 binary64) alpha)
(/ (- 4 (* 12 (/ 1 alpha))) alpha)
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 12 binary64) alpha)) alpha)
(/ (- (+ 4 (/ 32 (pow alpha 2))) (* 12 (/ 1 alpha))) alpha)
(/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 32 binary64) alpha) #s(literal -12 binary64)) alpha)) alpha)
(/ (- (+ 4 (/ 32 (pow alpha 2))) (+ (* 12 (/ 1 alpha)) (* 80 (/ 1 (pow alpha 3))))) alpha)
(/.f64 (+.f64 #s(literal 4 binary64) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 32 binary64) alpha) #s(literal -12 binary64)) alpha) (/.f64 (/.f64 #s(literal 80 binary64) (*.f64 alpha alpha)) alpha))) alpha)
(/ 4 alpha)
(/.f64 #s(literal 4 binary64) alpha)
(* -1 (/ (- (* 12 (/ 1 alpha)) 4) alpha))
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 12 binary64) alpha)) alpha)
(* -1 (/ (- (* -1 (/ (- (* 32 (/ 1 alpha)) 12) alpha)) 4) alpha))
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -32 binary64) alpha)) alpha)) alpha)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 80 (/ 1 alpha)) 32) alpha)) 12) alpha)) 4) alpha))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 80 binary64) alpha) #s(literal -32 binary64)) (neg.f64 alpha)) #s(literal -12 binary64)) alpha)) #s(literal -4 binary64)) (neg.f64 alpha))
(* 1/4 (pow alpha 2))
(.f64 alpha (.f64 alpha #s(literal 1/4 binary64)))
(* (pow alpha 2) (+ 1/4 (* -1/4 alpha)))
(.f64 alpha (.f64 alpha (+.f64 #s(literal 1/4 binary64) (*.f64 alpha #s(literal -1/4 binary64)))))
(* (pow alpha 2) (+ 1/4 (* alpha (- (* 3/16 alpha) 1/4))))
(.f64 alpha (.f64 alpha (+.f64 #s(literal 1/4 binary64) (.f64 alpha (+.f64 #s(literal -1/4 binary64) (.f64 alpha #s(literal 3/16 binary64)))))))
(* (pow alpha 2) (+ 1/4 (* alpha (- (* alpha (+ 3/16 (* -1/8 alpha))) 1/4))))
(.f64 (.f64 alpha alpha) (+.f64 #s(literal 1/4 binary64) (.f64 alpha (+.f64 #s(literal -1/4 binary64) (.f64 alpha (+.f64 (*.f64 alpha #s(literal -1/8 binary64)) #s(literal 3/16 binary64)))))))
1
#s(literal 1 binary64)
(- 1 (* 4 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) alpha))
(- (+ 1 (/ 12 (pow alpha 2))) (* 4 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 12 binary64) alpha) #s(literal -4 binary64)) alpha))
(- (+ 1 (/ 12 (pow alpha 2))) (+ (* 4 (/ 1 alpha)) (* 32 (/ 1 (pow alpha 3)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 12 binary64) alpha) #s(literal -4 binary64)) alpha)) (/.f64 #s(literal 32 binary64) (.f64 alpha (.f64 alpha alpha))))
1
#s(literal 1 binary64)
(- 1 (* 4 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) alpha))
(+ 1 (* -1 (/ (- 4 (* 12 (/ 1 alpha))) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 12 binary64) alpha)) alpha))
(+ 1 (* -1 (/ (+ 4 (* -1 (/ (- 12 (* 32 (/ 1 alpha))) alpha))) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -32 binary64) alpha)) alpha)) alpha))
(* alpha (pow (+ 2 (* 2 beta)) 2))
(.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) alpha)
(* alpha (pow (+ 2 (* 2 beta)) 2))
(.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) alpha)
(* alpha (pow (+ 2 (* 2 beta)) 2))
(.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) alpha)
(* alpha (pow (+ 2 (* 2 beta)) 2))
(.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) alpha)
(* alpha (pow (+ 2 (* 2 beta)) 2))
(.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) alpha)
(* alpha (pow (+ 2 (* 2 beta)) 2))
(.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) alpha)
(* alpha (pow (+ 2 (* 2 beta)) 2))
(.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) alpha)
(* alpha (pow (+ 2 (* 2 beta)) 2))
(.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) alpha)
(* alpha (pow (+ 2 (* 2 beta)) 2))
(.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) alpha)
(* alpha (pow (+ 2 (* 2 beta)) 2))
(.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) alpha)
(* alpha (pow (+ 2 (* 2 beta)) 2))
(.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) alpha)
(* alpha (pow (+ 2 (* 2 beta)) 2))
(.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))) alpha)
(* 4 alpha)
(*.f64 alpha #s(literal 4 binary64))
(+ (* 4 alpha) (* 8 (* alpha beta)))
(+.f64 (.f64 alpha #s(literal 4 binary64)) (.f64 beta (*.f64 alpha #s(literal 8 binary64))))
(+ (* 4 alpha) (* beta (+ (* 4 (* alpha beta)) (* 8 alpha))))
(+.f64 (.f64 alpha #s(literal 4 binary64)) (.f64 beta (+.f64 (.f64 beta (.f64 alpha #s(literal 4 binary64))) (*.f64 alpha #s(literal 8 binary64)))))
(+ (* 4 alpha) (* beta (+ (* 4 (* alpha beta)) (* 8 alpha))))
(+.f64 (.f64 alpha #s(literal 4 binary64)) (.f64 beta (+.f64 (.f64 beta (.f64 alpha #s(literal 4 binary64))) (*.f64 alpha #s(literal 8 binary64)))))
(* 4 (* alpha (pow beta 2)))
(.f64 alpha (.f64 #s(literal 4 binary64) (*.f64 beta beta)))
(* (pow beta 2) (+ (* 4 alpha) (* 8 (/ alpha beta))))
(.f64 (.f64 beta beta) (+.f64 (.f64 alpha #s(literal 4 binary64)) (.f64 #s(literal 8 binary64) (/.f64 alpha beta))))
(* (pow beta 2) (+ (* 4 alpha) (+ (* 4 (/ alpha (pow beta 2))) (* 8 (/ alpha beta)))))
(.f64 (.f64 beta beta) (+.f64 (.f64 #s(literal 8 binary64) (/.f64 alpha beta)) (.f64 #s(literal 4 binary64) (+.f64 alpha (/.f64 alpha (*.f64 beta beta))))))
(* (pow beta 2) (+ (* 4 alpha) (+ (* 4 (/ alpha (pow beta 2))) (* 8 (/ alpha beta)))))
(.f64 (.f64 beta beta) (+.f64 (.f64 #s(literal 8 binary64) (/.f64 alpha beta)) (.f64 #s(literal 4 binary64) (+.f64 alpha (/.f64 alpha (*.f64 beta beta))))))
(* 4 (* alpha (pow beta 2)))
(.f64 alpha (.f64 #s(literal 4 binary64) (*.f64 beta beta)))
(* (pow beta 2) (+ (* 4 alpha) (* 8 (/ alpha beta))))
(.f64 (.f64 beta beta) (+.f64 (.f64 alpha #s(literal 4 binary64)) (.f64 #s(literal 8 binary64) (/.f64 alpha beta))))
(* (pow beta 2) (+ (* -1 (/ (+ (* -8 alpha) (* -4 (/ alpha beta))) beta)) (* 4 alpha)))
(.f64 (.f64 beta beta) (-.f64 (.f64 alpha #s(literal 4 binary64)) (/.f64 (+.f64 (.f64 alpha #s(literal -8 binary64)) (*.f64 (/.f64 alpha beta) #s(literal -4 binary64))) beta)))
(* (pow beta 2) (+ (* -1 (/ (+ (* -8 alpha) (* -4 (/ alpha beta))) beta)) (* 4 alpha)))
(.f64 (.f64 beta beta) (-.f64 (.f64 alpha #s(literal 4 binary64)) (/.f64 (+.f64 (.f64 alpha #s(literal -8 binary64)) (*.f64 (/.f64 alpha beta) #s(literal -4 binary64))) beta)))
(* 2 alpha)
(*.f64 #s(literal 2 binary64) alpha)
(* 2 alpha)
(*.f64 #s(literal 2 binary64) alpha)
(* 2 alpha)
(*.f64 #s(literal 2 binary64) alpha)
(* 2 alpha)
(*.f64 #s(literal 2 binary64) alpha)
(* 2 alpha)
(*.f64 #s(literal 2 binary64) alpha)
(* 2 alpha)
(*.f64 #s(literal 2 binary64) alpha)
(* 2 alpha)
(*.f64 #s(literal 2 binary64) alpha)
(* 2 alpha)
(*.f64 #s(literal 2 binary64) alpha)
(* 2 alpha)
(*.f64 #s(literal 2 binary64) alpha)
(* 2 alpha)
(*.f64 #s(literal 2 binary64) alpha)
(* 2 alpha)
(*.f64 #s(literal 2 binary64) alpha)
(* 2 alpha)
(*.f64 #s(literal 2 binary64) alpha)
(* 1/2 alpha)
(*.f64 alpha #s(literal 1/2 binary64))
(* alpha (+ 1/2 (* -1/4 alpha)))
(.f64 alpha (+.f64 #s(literal 1/2 binary64) (.f64 alpha #s(literal -1/4 binary64))))
(* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))))
(.f64 alpha (+.f64 #s(literal 1/2 binary64) (.f64 alpha (+.f64 #s(literal -1/4 binary64) (*.f64 alpha #s(literal 1/8 binary64))))))
(* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))))
(.f64 alpha (+.f64 #s(literal 1/2 binary64) (.f64 alpha (+.f64 #s(literal -1/4 binary64) (.f64 alpha (+.f64 #s(literal 1/8 binary64) (.f64 alpha #s(literal -1/16 binary64))))))))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha))
(- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) alpha)) alpha) (/.f64 #s(literal 8 binary64) (.f64 alpha (.f64 alpha alpha)))))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 alpha)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) alpha)) alpha))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) alpha)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) alpha)) alpha)) alpha))

eval164.0ms (1.5%)

Compiler: Compiled 31282 to 3332 computations (89.3% saved)

prune130.0ms (1.2%)

Pruning

18 alts after pruning (10 fresh and 8 done)

	Pruned	Kept	Total
New	975	7	982
Fresh	5	3	8
Picked	3	2	5
Done	1	6	7
Total	984	18	1002

Accuracy

100.0%

Counts

1002 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.8%	(/.f64 (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) #s(literal 2 binary64))
✓	75.9%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
	52.2%	(/.f64 (-.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) alpha)) (*.f64 (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha)) beta)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
✓	54.4%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓	75.2%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	73.0%	(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
	28.9%	(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
✓	75.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
	85.1%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta))) #s(literal -2 binary64)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))) (/.f64 (.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))
	74.4%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))
	31.2%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)))
	72.5%	(/.f64 #s(literal 1 binary64) (.f64 alpha (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (.f64 beta (+.f64 (.f64 beta (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha))) (/.f64 #s(literal -1 binary64) alpha)))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))))
✓	24.1%	(/.f64 #s(literal 1 binary64) alpha)
	25.5%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
	50.2%	(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
	51.9%	(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
✓	33.7%	#s(literal 1 binary64)
✓	53.2%	#s(literal 1/2 binary64)

Compiler

Compiled 1300 to 400 computations (69.2% saved)

regimes62.0ms (0.6%)

Counts

41 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)))
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 alpha #s(literal 2 binary64)))) beta)))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal -2 binary64) (neg.f64 beta)) alpha)) #s(literal 2 binary64))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal -4 binary64)) alpha)) #s(literal -2 binary64)) alpha)) #s(literal -1 binary64)) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))) alpha)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) alpha)) alpha)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) alpha)) (*.f64 (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha)) beta)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (.f64 alpha (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (.f64 beta (+.f64 (.f64 beta (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha))) (/.f64 #s(literal -1 binary64) alpha)))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta))) #s(literal -2 binary64)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))) (/.f64 (.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha alpha))))) alpha)
(/.f64 #s(literal 1 binary64) (.f64 alpha (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (.f64 (-.f64 #s(literal -2 binary64) beta) beta))) (.f64 alpha (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))))) alpha)) alpha)) (-.f64 #s(literal 0 binary64) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 alpha alpha)) (/.f64 #s(literal -16 binary64) (.f64 alpha (*.f64 alpha alpha)))))))) alpha)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 alpha alpha)) (-.f64 (/.f64 (.f64 #s(literal -40 binary64) beta) (.f64 alpha (.f64 alpha alpha))) (/.f64 #s(literal 16 binary64) (.f64 alpha (.f64 alpha alpha))))))))) alpha)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))))) #s(literal 2 binary64))
(/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) (/.f64 (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (-.f64 beta alpha)))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))))))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 alpha alpha)) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (.f64 (.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (.f64 alpha (.f64 alpha alpha)))))))) alpha)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 beta alpha) (.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (/.f64 (-.f64 beta alpha) (.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (/.f64 (/.f64 (-.f64 beta alpha) (.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))) (.f64 (/.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))))) #s(literal 2 binary64))

Outputs

(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta))) #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))) (/.f64 (*.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)))))

(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)))

Calls

5 calls:

14.0ms	alpha
11.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
11.0ms	beta
11.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
10.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
96.1%	2	`alpha`
99.9%	2	`beta`
99.8%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.8%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.8%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes62.0ms (0.6%)

Counts

30 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)))
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 alpha #s(literal 2 binary64)))) beta)))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal -2 binary64) (neg.f64 beta)) alpha)) #s(literal 2 binary64))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal -4 binary64)) alpha)) #s(literal -2 binary64)) alpha)) #s(literal -1 binary64)) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))) alpha)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) alpha)) alpha)
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (+.f64 alpha #s(literal 2 binary64)) alpha))) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) alpha)) (*.f64 (/.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 2 binary64) alpha)) beta)) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (neg.f64 beta) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (.f64 alpha (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (.f64 beta (+.f64 (.f64 beta (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta alpha))) (/.f64 #s(literal -1 binary64) alpha)))) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))))
(/.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))

Outputs

(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))) alpha)

(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))

Calls

4 calls:

35.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))
8.0ms	beta
7.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
7.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
99.8%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.8%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.8%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`
98.9%	2	`beta`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes21.0ms (0.2%)

Counts

24 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)))
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 alpha #s(literal 2 binary64)))) beta)))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal -2 binary64) (neg.f64 beta)) alpha)) #s(literal 2 binary64))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal -4 binary64)) alpha)) #s(literal -2 binary64)) alpha)) #s(literal -1 binary64)) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))) alpha)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))) alpha)) alpha)

Outputs

(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))) alpha)

(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Calls

3 calls:

8.0ms

(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))

6.0ms

(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

6.0ms

(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
99.8%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.8%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.8%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes33.0ms (0.3%)

Counts

22 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)))
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 alpha #s(literal 2 binary64)))) beta)))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal -2 binary64) (neg.f64 beta)) alpha)) #s(literal 2 binary64))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) alpha) #s(literal -4 binary64)) alpha)) #s(literal -2 binary64)) alpha)) #s(literal -1 binary64)) alpha))

Outputs

(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal -2 binary64) (neg.f64 beta)) alpha)) #s(literal 2 binary64))

(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Calls

3 calls:

21.0ms

(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))

5.0ms

(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

5.0ms

(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
99.7%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.7%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.7%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes18.0ms (0.2%)

Counts

20 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)))
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 alpha #s(literal 2 binary64)))) beta)))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))

Outputs
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Calls

3 calls:

6.0ms

(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

5.0ms

(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))

5.0ms

(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
99.7%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.7%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.7%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

18 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)))
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta))))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (.f64 alpha #s(literal 2 binary64)))) beta)))

Outputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta)))

Calls

1 calls:

6.0ms

beta

Results

Accuracy	Segments	Branch
98.3%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

11 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))

Outputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))

Calls

2 calls:

5.0ms	beta
4.0ms	alpha

Results

Accuracy	Segments	Branch
79.3%	2	`alpha`
93.5%	2	`beta`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts

6 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))

Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64)))
(/.f64 #s(literal 1 binary64) alpha)

Calls

2 calls:

2.0ms	beta
2.0ms	alpha

Results

Accuracy	Segments	Branch
73.3%	2	`alpha`
72.1%	2	`beta`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Counts

3 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) alpha)

Outputs
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) alpha)

Calls

1 calls:

2.0ms

alpha

Results

Accuracy	Segments	Branch
72.7%	2	`alpha`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

2 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)

Outputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)

Calls

2 calls:

2.0ms	alpha
1.0ms	beta

Results

Accuracy	Segments	Branch
71.7%	2	`beta`
56.5%	2	`alpha`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)

Outputs
#s(literal 1/2 binary64)

Calls

2 calls:

1.0ms	alpha
1.0ms	beta

Results

Accuracy	Segments	Branch
53.2%	1	`alpha`
53.2%	1	`beta`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
15.0ms	262001.29620674028	15241324521939608.0

Results

6.0ms	78×	0	valid
5.0ms	34×	1	valid

Compiler

Compiled 377 to 203 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (33.4% of total)

ival-add: 2.0ms (33.4% of total)

ival-sub: 1.0ms (16.7% of total)

backward-pass: 1.0ms (16.7% of total)

const: 0.0ms (0% of total)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999998886	-0.9999723434965794

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999998886	-0.9999723434965794

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999998886	-0.9999723434965794

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999999999998886	-0.9999723434965794

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.4065796013629422	9.118259386559053

Results

6.0ms	41×	1	valid
5.0ms	71×	0	valid

Compiler

Compiled 160 to 119 computations (25.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 3.0ms (41.8% of total)

ival-add: 2.0ms (27.9% of total)

ival-sub: 1.0ms (13.9% of total)

backward-pass: 1.0ms (13.9% of total)

const: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.4065796013629422	9.118259386559053

Results

5.0ms	37×	1	valid
5.0ms	75×	0	valid

Compiler

Compiled 132 to 112 computations (15.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (34.1% of total)

ival-add: 2.0ms (34.1% of total)

ival-sub: 1.0ms (17% of total)

backward-pass: 1.0ms (17% of total)

const: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.0007444123171486591	6.733737681868904

Results

9.0ms

128×

valid

Compiler

Compiled 132 to 110 computations (16.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (36.4% of total)

ival-add: 2.0ms (36.4% of total)

ival-sub: 1.0ms (18.2% of total)

const: 0.0ms (0% of total)

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

bsearch16.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.0007444123171486591	6.733737681868904

Results

8.0ms

128×

valid

Compiler

Compiled 100 to 86 computations (14% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (43.5% of total)

ival-add: 2.0ms (43.5% of total)

ival-sub: 1.0ms (21.8% of total)

const: 0.0ms (0% of total)

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

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.4065796013629422	9.118259386559053

Results

5.0ms	79×	0	valid
5.0ms	33×	1	valid

Compiler

Compiled 76 to 70 computations (7.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-div: 2.0ms (34.3% of total)

ival-add: 2.0ms (34.3% of total)

ival-sub: 1.0ms (17.2% of total)

backward-pass: 1.0ms (17.2% of total)

const: 0.0ms (0% of total)

simplify79.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

500×	`unsub-neg_binary64`
392×	`distribute-lft-neg-in_binary64`
316×	`neg-mul-1_binary64`
198×	`+-commutative_binary64`
194×	`neg-sub0_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	80	272
1	119	272
2	146	272
3	183	272
4	230	272
5	306	271
6	378	271
7	513	271
8	689	271
9	816	271
10	914	271
11	1019	271
12	1160	271
13	1316	271
14	1436	271
15	1525	271
16	1579	271
17	1611	271
18	1626	271
19	1637	271
20	1640	271
21	1640	271

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 beta #s(literal 15000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta))) #s(literal -2 binary64)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))) (/.f64 (.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007019110755897/9007199254740992 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))) alpha) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007019110755897/9007199254740992 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007019110755897/9007199254740992 binary64)) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal -2 binary64) (neg.f64 beta)) alpha)) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007019110755897/9007199254740992 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta))))
(if (<=.f64 beta #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
(if (<=.f64 alpha #s(literal 3039929748475085/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) alpha))
(if (<=.f64 alpha #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) alpha))
(if (<=.f64 beta #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)

Outputs
(if (<=.f64 beta #s(literal 15000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (neg.f64 beta) (+.f64 #s(literal 2 binary64) beta))) #s(literal -2 binary64)) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)))) (/.f64 (.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta))))
(if (<=.f64 beta #s(literal 15000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) (.f64 beta #s(literal 2 binary64)))) (/.f64 (.f64 #s(literal -2 binary64) (.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta (+.f64 beta #s(literal 2 binary64))))) (.f64 (+.f64 #s(literal 2 binary64) (.f64 beta #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007019110755897/9007199254740992 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))) alpha) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -9007019110755897/9007199254740992 binary64)) (/.f64 (+.f64 (+.f64 beta (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))) #s(literal 1 binary64)) alpha) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 #s(literal 2 binary64) alpha))) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 beta (+.f64 #s(literal 2 binary64) alpha))))) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007019110755897/9007199254740992 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -9007019110755897/9007199254740992 binary64)) (/.f64 (+.f64 (+.f64 beta (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))) #s(literal 1 binary64)) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007019110755897/9007199254740992 binary64)) (/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal -2 binary64) (neg.f64 beta)) alpha)) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -9007019110755897/9007199254740992 binary64)) (/.f64 (+.f64 (/.f64 beta (+.f64 beta (+.f64 #s(literal 2 binary64) alpha))) (/.f64 (-.f64 beta #s(literal -2 binary64)) alpha)) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007019110755897/9007199254740992 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -9007019110755897/9007199254740992 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta))))
(if (<=.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 alpha #s(literal 1 binary64)) beta) #s(literal 1 binary64))))
(if (<=.f64 beta #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
(if (<=.f64 beta #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) alpha)) (+.f64 (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64)))
(if (<=.f64 alpha #s(literal 3039929748475085/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) alpha))
(if (<=.f64 alpha #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) alpha))
(if (<=.f64 beta #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)

soundness2.0s (18.4%)

Rules

4144×	`/-lowering-/.f32`
4144×	`/-lowering-/.f64`
4132×	`-lowering-.f32`
4132×	`-lowering-.f64`
4038×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	612	4451
1	2101	3816
2	6994	3811
0	8175	3811
0	1930	23489
1	6853	22970
0	8269	22970
0	1422	8544
1	5025	8219
0	8390	8219
0	10	40
1	86	40
2	776	40
0	8515	40
0	433	2427
1	1518	2236
2	5628	2187
0	8142	2187

Stop Event

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

Compiler

Compiled 590 to 302 computations (48.8% saved)

preprocess69.0ms (0.6%)

Compiler: Compiled 576 to 176 computations (69.4% saved)

analyze3.0ms (0%)

sample1.6s (14.9%)

preprocess232.0ms (2.1%)

explain116.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify136.0ms (1.3%)

localize85.0ms (0.8%)

series12.0ms (0.1%)

rewrite338.0ms (3.1%)

simplify299.0ms (2.8%)

eval62.0ms (0.6%)

prune92.0ms (0.8%)

simplify195.0ms (1.8%)

localize338.0ms (3.1%)

series90.0ms (0.8%)

rewrite443.0ms (4.1%)

simplify717.0ms (6.6%)

eval233.0ms (2.2%)

prune249.0ms (2.3%)

simplify168.0ms (1.6%)

localize216.0ms (2%)

series58.0ms (0.5%)

rewrite375.0ms (3.5%)

simplify420.0ms (3.9%)

eval164.0ms (1.5%)

prune187.0ms (1.7%)

simplify202.0ms (1.9%)

localize261.0ms (2.4%)

series40.0ms (0.4%)

rewrite382.0ms (3.5%)

simplify330.0ms (3.1%)

eval164.0ms (1.5%)

prune130.0ms (1.2%)

regimes62.0ms (0.6%)

regimes62.0ms (0.6%)

regimes21.0ms (0.2%)

regimes33.0ms (0.3%)

regimes18.0ms (0.2%)

regimes7.0ms (0.1%)

regimes9.0ms (0.1%)

regimes5.0ms (0%)

regimes2.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch17.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch16.0ms (0.2%)

bsearch15.0ms (0.1%)

bsearch15.0ms (0.1%)

bsearch16.0ms (0.1%)

bsearch15.0ms (0.1%)

simplify79.0ms (0.7%)

soundness2.0s (18.4%)

preprocess69.0ms (0.6%)

end0.0ms (0%)

Profiling