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)

sample1.3s (12.8%)

Results

569.0ms	6095×	0	valid
320.0ms	1778×	1	valid
108.0ms	383×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 656.0ms

ival-add: 251.0ms (38.3% of total)

ival-div: 155.0ms (23.6% of total)

ival-sub: 83.0ms (12.7% of total)

ival->: 82.0ms (12.5% of total)

backward-pass: 55.0ms (8.4% of total)

const: 20.0ms (3.1% of total)

ival-and: 10.0ms (1.5% of total)

Bogosity

preprocess216.0ms (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)

explain118.0ms (1.2%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
75	-	-	`(+.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

38.0ms	364×	0	valid
25.0ms	124×	1	valid
8.0ms	24×	2	valid

Compiler

Compiled 117 to 32 computations (72.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-add: 11.0ms (35.9% of total)

ival-div: 10.0ms (32.6% of total)

ival-sub: 5.0ms (16.3% of total)

backward-pass: 4.0ms (13% of total)

const: 1.0ms (3.3% 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
▶	73.4%	(/.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)

simplify150.0ms (1.5%)

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)

localize56.0ms (0.5%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 alpha beta)
✓	accuracy	100.0%	(+.f64 (+.f64 alpha beta) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
✓	accuracy	73.5%	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

25.0ms	182×	0	valid
12.0ms	62×	1	valid
4.0ms	12×	2	valid

Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions

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

ival-div: 8.0ms (43.4% of total)

ival-add: 5.0ms (27.1% of total)

ival-sub: 2.0ms (10.8% of total)

backward-pass: 2.0ms (10.8% of total)

const: 1.0ms (5.4% 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) 2)>
#<alt (+ alpha beta)>

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 (+ 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)))>
#<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)))>

Calls

36 calls:

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

rewrite621.0ms (6.1%)

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) 2)
(+ alpha beta)

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

simplify280.0ms (2.7%)

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	5636	2187
0	8150	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)))))
(+ 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)))
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)))

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

eval62.0ms (0.6%)

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

prune76.0ms (0.7%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	466	15	481
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	466	16	482

Accuracy

99.9%

Counts

482 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.8%	(/.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))
	50.8%	(/.f64 (/.f64 (-.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 #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))
	50.8%	(/.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))
	50.8%	(/.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 #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))
▶	74.6%	(/.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))
▶	25.7%	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64))
	51.8%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓	73.4%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
	28.8%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) beta) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	70.8%	(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
	73.4%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	29.7%	(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) 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)
	30.8%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
	30.8%	(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha)
	73.4%	(/.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))))
▶	33.5%	#s(literal 1 binary64)

Compiler

Compiled 1137 to 360 computations (68.3% saved)

simplify196.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

2752×	`-lowering-.f32`
2752×	`-lowering-.f64`
2078×	`sum4-define`
1976×	`+-lowering-+.f64`
1976×	`+-lowering-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	220
1	72	208
2	174	207
3	543	194
4	1980	191
0	8460	191

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

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

localize214.0ms (2.1%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))))
✓	accuracy	100.0%	(-.f64 (-.f64 #s(literal -2 binary64) beta) beta)
✓	accuracy	99.9%	(*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))
✓	accuracy	98.8%	(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) 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)
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 alpha #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)
✓	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 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
✓	accuracy	100.0%	(+.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 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))
✓	accuracy	100.0%	(/.f64 alpha (+.f64 beta (+.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	73.5%	(+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))

Results

88.0ms	185×	0	valid
67.0ms	70×	1	valid
1.0ms	1×	2	valid

Compiler

Compiled 225 to 32 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-div: 37.0ms (50.5% of total)

ival-add: 16.0ms (21.8% of total)

ival-sub: 7.0ms (9.6% of total)

ival-mult: 7.0ms (9.6% of total)

backward-pass: 5.0ms (6.8% of total)

const: 1.0ms (1.4% of total)

series40.0ms (0.4%)

Counts

21 → 408

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

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)))>
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#<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 (* 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 (/ -4 alpha)>
#<alt (- (* -6 (/ beta alpha)) (* 4 (/ 1 alpha)))>
#<alt (- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))>
#<alt (- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))>
#<alt (* -2 (/ (pow beta 2) alpha))>
#<alt (* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))>
#<alt (* -2 (/ (pow beta 2) alpha))>
#<alt (* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))>
#<alt (* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))>
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))>
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))>
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))>
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))>
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))>
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))>
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))>
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))>
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))>
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))>
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))>
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))>
#<alt -2>
#<alt (- (* -2 beta) 2)>
#<alt (- (* -2 beta) 2)>
#<alt (- (* -2 beta) 2)>
#<alt (* -2 beta)>
#<alt (* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))>
#<alt (* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))>
#<alt (* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))>
#<alt (* -2 beta)>
#<alt (* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))>
#<alt (* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))>
#<alt (* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))>

Calls

102 calls:

Time	Variable		Point	Expression
6.0ms	alpha	@	-inf	(/ (- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1)) 2)
5.0ms	alpha	@	inf	(- (/ beta (+ beta (+ alpha 2))) (+ (/ alpha (+ beta (+ alpha 2))) -1))
4.0ms	beta	@	0	(/ (+ (+ 1 beta) (* 1/2 (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)))) alpha)
1.0ms	beta	@	0	(/ beta (+ beta (+ alpha 2)))
1.0ms	alpha	@	0	(/ (+ (+ 1 beta) (* 1/2 (* (- (- -2 beta) beta) (/ (+ 2 beta) alpha)))) alpha)

rewrite471.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3758×	`/-lowering-/.f32`
3758×	`/-lowering-/.f64`
2782×	`-lowering-.f32`
2782×	`-lowering-.f64`
2226×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	189
1	252	167
2	2740	167
0	9519	167

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 649

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

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

simplify391.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

4752×	`+-lowering-+.f64`
4752×	`+-lowering-+.f32`
3944×	`-lowering-.f32`
3944×	`-lowering-.f64`
1774×	`--lowering--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	822	5462
1	2843	4970
0	8350	4970

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 (/ (- (+ 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 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 alpha))) alpha)
(- (+ (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))
(* -1 (/ (pow beta 2) (pow alpha 2)))
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2)))
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2))
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2))
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2))
(/ (+ 1 beta) alpha)
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha)
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha)
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha)
(/ (+ 1 beta) alpha)
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))
(- 1 (* 2 (/ 1 alpha)))
(- (+ 1 (* beta (- 1 (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))
(- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))
(- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))
(* -1 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (/ 1 beta) (+ (/ 1 alpha) (/ 3 (* alpha beta)))))
(* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta))))))
(* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta))))))
(* -1 (/ (pow beta 2) alpha))
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 alpha)) 1) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha)))
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) alpha)
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) alpha)
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) alpha)
(+ 1 beta)
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
(+ 1 beta)
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))
(/ -2 alpha)
(- (* -3 (/ beta alpha)) (* 2 (/ 1 alpha)))
(- (* beta (- (* -1 (/ beta alpha)) (* 3 (/ 1 alpha)))) (* 2 (/ 1 alpha)))
(- (* beta (- (* -1 (/ beta alpha)) (* 3 (/ 1 alpha)))) (* 2 (/ 1 alpha)))
(* -1 (/ (pow beta 2) alpha))
(* -1 (* (pow beta 2) (+ (/ 1 alpha) (* 3 (/ 1 (* alpha beta))))))
(* (pow beta 2) (- (* -1 (/ (+ (* 3 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (+ (* 3 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))) beta)) (/ 1 alpha)))
(* -1 (/ (pow beta 2) alpha))
(* -1 (* (pow beta 2) (+ (/ 1 alpha) (* 3 (/ 1 (* alpha beta))))))
(* (pow beta 2) (- (* -1 (/ (+ (* 3 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))) beta)) (/ 1 alpha)))
(* (pow beta 2) (- (* -1 (/ (+ (* 3 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))) beta)) (/ 1 alpha)))
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
1
(+ 1 beta)
(+ 1 beta)
(+ 1 beta)
beta
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
beta
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 1 beta)))
(* beta (+ 1 (/ 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)
(/ 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))
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(* 2 alpha)
(/ -4 alpha)
(- (* -6 (/ beta alpha)) (* 4 (/ 1 alpha)))
(- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))
(- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))
(* -2 (/ (pow beta 2) alpha))
(* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(* -2 (/ (pow beta 2) alpha))
(* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
-2
(- (* -2 beta) 2)
(- (* -2 beta) 2)
(- (* -2 beta) 2)
(* -2 beta)
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(* -2 beta)
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))

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 (.f64 #s(literal 1/2 binary64) beta) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (+.f64 (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (.f64 beta (+.f64 (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))))))))
(+ (* 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 (.f64 #s(literal 1/2 binary64) beta) (+.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 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))))))))
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 0 binary64) alpha)) 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 0 binary64) alpha)) beta)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (+.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 0 binary64) alpha)) beta) (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (neg.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 (.f64 beta beta))) (/.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta beta)))) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (- (+ 2 alpha) (* -1 alpha)) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (+.f64 alpha alpha))) beta))
(+ 1 (* -1 (/ (+ (* -1/2 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)) (* 1/2 (- (+ 2 alpha) (* -1 alpha)))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) beta) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 alpha 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)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 alpha alpha))) (/.f64 (+.f64 (/.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))))) beta) (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))) beta)) beta))
(* 1/2 (+ 1 (/ beta (+ 2 beta))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 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 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (.f64 #s(literal -1/2 binary64) (.f64 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 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 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 #s(literal -1/2 binary64) (.f64 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) beta) alpha)
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.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 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) 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 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 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) alpha) (+.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (.f64 beta (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta)))) (.f64 alpha (.f64 alpha 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 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 (+.f64 #s(literal 2 binary64) beta) (+.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 (+.f64 #s(literal 2 binary64) beta) (+.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 (.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 (* 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 #s(literal 1 binary64) (+.f64 (.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (+.f64 (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (.f64 beta (+.f64 (/.f64 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))))))) (/.f64 alpha (-.f64 #s(literal -2 binary64) 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)))
(+.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 #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 alpha (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))))))) (-.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 alpha #s(literal 2 binary64)) (+.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (.f64 beta beta)) (+.f64 (/.f64 (*.f64 alpha #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 (.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) (+.f64 alpha #s(literal 2 binary64))) (.f64 beta (.f64 beta beta)))) (/.f64 (.f64 (+.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)) beta) (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (.f64 beta (*.f64 beta beta))))))
2
#s(literal 2 binary64)
(+ 2 (* -1 (/ (- (+ 2 alpha) (* -1 alpha)) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 alpha (+.f64 alpha #s(literal 2 binary64))) beta))
(+ 2 (* -1 (/ (- (+ 2 (+ alpha (* -1 (/ (+ (* alpha (+ 2 alpha)) (pow (+ 2 alpha) 2)) beta)))) (* -1 alpha)) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 alpha (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) beta))) 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)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 alpha (/.f64 (-.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (+.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) beta)) beta))) beta))
(+ 1 (/ beta (+ 2 beta)))
(+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (.f64 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 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (.f64 alpha (-.f64 (.f64 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)))))) (+.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 (+ (* 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))))
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(/ (+ 2 (* 2 beta)) alpha)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) beta)) alpha)
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) 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)
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(/ (- (+ 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)
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(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))
(/.f64 (+.f64 (+.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha) (.f64 beta (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) (-.f64 #s(literal -2 binary64) beta)) (-.f64 #s(literal 0 binary64) 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))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) alpha) (-.f64 (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) alpha) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))))) (-.f64 #s(literal 0 binary64) alpha)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (-.f64 #s(literal 0 binary64) 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))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (+.f64 (.f64 beta (/.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) alpha)) (.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 0 binary64) alpha)) (.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (-.f64 #s(literal 0 binary64) alpha)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (-.f64 #s(literal 0 binary64) alpha))
(/ beta (+ 2 alpha))
(/.f64 beta (+.f64 alpha #s(literal 2 binary64)))
(* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))))
(.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 beta (.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))))
(* beta (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))
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(* beta (+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))))
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1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 2 alpha) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta))
(- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))
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(- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))))
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1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (+ 2 alpha) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 2) beta)) (* -1 (+ 2 alpha))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)) beta) (+.f64 alpha #s(literal 2 binary64))) beta))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 2 alpha) 3) beta)) (* -1 (pow (+ 2 alpha) 2))) beta)) (* -1 (+ 2 alpha))) beta)))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))) beta) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) beta) (-.f64 #s(literal -2 binary64) alpha))) beta))
(/ beta (+ 2 beta))
(/.f64 beta (+.f64 #s(literal 2 binary64) beta))
(+ (* -1 (/ (* alpha beta) (pow (+ 2 beta) 2))) (/ beta (+ 2 beta)))
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(+ (* alpha (- (/ (* alpha beta) (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
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(+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow (+ 2 beta) 4))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (/ beta (pow (+ 2 beta) 2)))) (/ beta (+ 2 beta)))
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(/ beta alpha)
(/.f64 beta alpha)
(/ (+ beta (* -1 (/ (* beta (+ 2 beta)) alpha))) alpha)
(/.f64 (+.f64 beta (/.f64 (*.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha)) alpha)
(/ (- (+ beta (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha)) alpha)
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(/ (- (+ beta (* -1 (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3)))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)
(/.f64 (+.f64 (/.f64 (.f64 beta (.f64 (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (+.f64 #s(literal 2 binary64) beta))) (.f64 alpha (.f64 alpha alpha))) (-.f64 beta (+.f64 (/.f64 (.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) (/.f64 (.f64 beta (.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (*.f64 alpha alpha))))) alpha)
(/ beta alpha)
(/.f64 beta alpha)
(* -1 (/ (+ (* -1 beta) (/ (* beta (+ 2 beta)) alpha)) alpha))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 beta (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) alpha))
(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 2)) alpha) (* beta (+ 2 beta))) alpha))) alpha))
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(* -1 (/ (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (/ (* beta (pow (+ 2 beta) 3)) alpha) (* beta (pow (+ 2 beta) 2))) alpha)) (* beta (+ 2 beta))) alpha))) alpha))
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(+ 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 #s(literal 2 binary64) (*.f64 beta (/.f64 alpha beta))))
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
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(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))
(+.f64 beta (+.f64 #s(literal 2 binary64) (*.f64 beta (/.f64 alpha beta))))
beta
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal -1 binary64)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal -1 binary64)))
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal -1 binary64)))
(+ 2 beta)
(+.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))
(+ 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 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(*.f64 alpha (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64))))
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))
(*.f64 alpha (+.f64 (/.f64 beta alpha) (+.f64 (/.f64 #s(literal 2 binary64) alpha) #s(literal 1 binary64))))
alpha
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) #s(literal -1 binary64)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) #s(literal -1 binary64)))
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) #s(literal -1 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 beta))
(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))
(+.f64 #s(literal 1/2 binary64) (.f64 beta (+.f64 #s(literal 1/4 binary64) (.f64 beta #s(literal -1/8 binary64)))))
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))
(+.f64 #s(literal 1/2 binary64) (.f64 beta (+.f64 #s(literal 1/4 binary64) (.f64 beta (+.f64 (*.f64 beta #s(literal 1/16 binary64)) #s(literal -1/8 binary64))))))
1
#s(literal 1 binary64)
(- 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))
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1
#s(literal 1 binary64)
(- 1 (/ 1 beta))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta)) beta))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) beta)) beta)) beta))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 beta))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) beta))
(+ 1 (* beta (+ 1/2 (* -1/4 beta))))
(+.f64 #s(literal 1 binary64) (.f64 beta (+.f64 #s(literal 1/2 binary64) (.f64 beta #s(literal -1/4 binary64)))))
(+ 1 (* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4)))))
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2
#s(literal 2 binary64)
(- 2 (* 2 (/ 1 beta)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) beta))
(- (+ 2 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 beta beta)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) beta)))
(- (+ 2 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
(+.f64 (/.f64 #s(literal 4 binary64) (.f64 beta beta)) (-.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 #s(literal 8 binary64) (.f64 beta (*.f64 beta beta))))))
2
#s(literal 2 binary64)
(- 2 (* 2 (/ 1 beta)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) beta))
(+ 2 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) beta)) beta))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) beta)) beta)) beta))
(* 1/2 beta)
(*.f64 #s(literal 1/2 binary64) beta)
(* beta (+ 1/2 (* -1/4 beta)))
(.f64 beta (+.f64 #s(literal 1/2 binary64) (.f64 beta #s(literal -1/4 binary64))))
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))
(.f64 beta (+.f64 #s(literal 1/2 binary64) (.f64 beta (+.f64 (*.f64 beta #s(literal 1/8 binary64)) #s(literal -1/4 binary64)))))
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))
(.f64 beta (+.f64 #s(literal 1/2 binary64) (.f64 beta (+.f64 (.f64 beta (+.f64 #s(literal 1/8 binary64) (.f64 beta #s(literal -1/16 binary64)))) #s(literal -1/4 binary64)))))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 beta)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta))
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta)))
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 beta beta))) (-.f64 (/.f64 #s(literal -2 binary64) beta) (/.f64 #s(literal 8 binary64) (.f64 beta (*.f64 beta beta)))))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 beta)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) beta)) beta))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) beta)) beta)) beta))
2
#s(literal 2 binary64)
(+ 2 beta)
(+.f64 #s(literal 2 binary64) beta)
(+ 2 beta)
(+.f64 #s(literal 2 binary64) beta)
(+ 2 beta)
(+.f64 #s(literal 2 binary64) beta)
beta
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 #s(literal 2 binary64) beta)
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 #s(literal 2 binary64) beta)
(* beta (+ 1 (* 2 (/ 1 beta))))
(+.f64 #s(literal 2 binary64) beta)
beta
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(+ (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 2))) (/ alpha (+ 2 alpha)))
(+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (/.f64 (.f64 alpha beta) (.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))))
(+ (* beta (- (/ (* alpha beta) (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
(+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (.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 #s(literal -2 binary64) alpha))))))
(+ (* beta (- (* beta (- (* -1 (/ (* alpha beta) (pow (+ 2 alpha) 4))) (* -1 (/ alpha (pow (+ 2 alpha) 3))))) (/ alpha (pow (+ 2 alpha) 2)))) (/ alpha (+ 2 alpha)))
(+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (.f64 beta (+.f64 (.f64 beta (+.f64 (/.f64 (.f64 alpha beta) (neg.f64 (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 #s(literal -2 binary64) alpha))))))
(/ alpha beta)
(/.f64 alpha beta)
(/ (+ alpha (* -1 (/ (* alpha (+ 2 alpha)) beta))) beta)
(/.f64 (*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta))) (-.f64 #s(literal 0 binary64) beta))
(/ (- (+ alpha (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 2))) (/ (* alpha (+ 2 alpha)) beta)) beta)
(/.f64 (+.f64 alpha (.f64 alpha (-.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)))) 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)
(/.f64 (+.f64 (+.f64 (/.f64 (.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))) alpha) (.f64 beta (.f64 beta beta))) (-.f64 alpha (/.f64 (.f64 (.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) (+.f64 alpha #s(literal 2 binary64))) (.f64 beta beta)))) (/.f64 (*.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) beta)) beta)
(/ alpha beta)
(/.f64 alpha beta)
(* -1 (/ (+ (* -1 alpha) (/ (* alpha (+ 2 alpha)) beta)) beta))
(/.f64 (*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta))) (-.f64 #s(literal 0 binary64) beta))
(* -1 (/ (+ (* -1 alpha) (* -1 (/ (- (/ (* alpha (pow (+ 2 alpha) 2)) beta) (* alpha (+ 2 alpha))) beta))) beta))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 alpha (/.f64 (.f64 alpha (+.f64 (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) beta) (-.f64 #s(literal -2 binary64) 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))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 alpha (/.f64 (+.f64 (/.f64 (.f64 alpha (+.f64 (/.f64 (.f64 (+.f64 alpha #s(literal 2 binary64)) (.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) beta) (.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (-.f64 #s(literal 0 binary64) beta)) (.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) beta))) beta)
(* 2 alpha)
(*.f64 alpha #s(literal 2 binary64))
(* 2 alpha)
(*.f64 alpha #s(literal 2 binary64))
(* 2 alpha)
(*.f64 alpha #s(literal 2 binary64))
(* 2 alpha)
(*.f64 alpha #s(literal 2 binary64))
(* 2 alpha)
(*.f64 alpha #s(literal 2 binary64))
(* 2 alpha)
(*.f64 alpha #s(literal 2 binary64))
(* 2 alpha)
(*.f64 alpha #s(literal 2 binary64))
(* 2 alpha)
(*.f64 alpha #s(literal 2 binary64))
(* 2 alpha)
(*.f64 alpha #s(literal 2 binary64))
(* 2 alpha)
(*.f64 alpha #s(literal 2 binary64))
(* 2 alpha)
(*.f64 alpha #s(literal 2 binary64))
(* 2 alpha)
(*.f64 alpha #s(literal 2 binary64))
(/ -4 alpha)
(/.f64 #s(literal -4 binary64) alpha)
(- (* -6 (/ beta alpha)) (* 4 (/ 1 alpha)))
(+.f64 (*.f64 (/.f64 beta alpha) #s(literal -6 binary64)) (/.f64 #s(literal -4 binary64) alpha))
(- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))
(+.f64 (.f64 beta (+.f64 (/.f64 (.f64 beta #s(literal -2 binary64)) alpha) (/.f64 #s(literal -6 binary64) alpha))) (/.f64 #s(literal -4 binary64) alpha))
(- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))
(+.f64 (.f64 beta (+.f64 (/.f64 (.f64 beta #s(literal -2 binary64)) alpha) (/.f64 #s(literal -6 binary64) alpha))) (/.f64 #s(literal -4 binary64) alpha))
(* -2 (/ (pow beta 2) alpha))
(.f64 #s(literal -2 binary64) (/.f64 (.f64 beta beta) alpha))
(* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))))
(.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 6 binary64) (.f64 alpha beta))) (.f64 #s(literal -1 binary64) (.f64 beta beta)))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(.f64 (.f64 beta beta) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 4 binary64) (*.f64 alpha beta))) (-.f64 #s(literal 0 binary64) beta)) (/.f64 #s(literal -2 binary64) alpha)))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(.f64 (.f64 beta beta) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 4 binary64) (*.f64 alpha beta))) (-.f64 #s(literal 0 binary64) beta)) (/.f64 #s(literal -2 binary64) alpha)))
(* -2 (/ (pow beta 2) alpha))
(.f64 #s(literal -2 binary64) (/.f64 (.f64 beta beta) alpha))
(* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))))
(.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 6 binary64) (.f64 alpha beta))) (.f64 #s(literal -1 binary64) (.f64 beta beta)))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(.f64 (.f64 beta beta) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 4 binary64) (*.f64 alpha beta))) (-.f64 #s(literal 0 binary64) beta)) (/.f64 #s(literal -2 binary64) alpha)))
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))
(.f64 (.f64 beta beta) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 4 binary64) (*.f64 alpha beta))) (-.f64 #s(literal 0 binary64) beta)) (/.f64 #s(literal -2 binary64) alpha)))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) alpha))
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))
(.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) beta)) alpha))
-2
#s(literal -2 binary64)
(- (* -2 beta) 2)
(+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64))
(- (* -2 beta) 2)
(+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64))
(- (* -2 beta) 2)
(+.f64 (*.f64 beta #s(literal -2 binary64)) #s(literal -2 binary64))
(* -2 beta)
(*.f64 beta #s(literal -2 binary64))
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) beta)) #s(literal -2 binary64))
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) beta)) #s(literal -2 binary64))
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) beta)) #s(literal -2 binary64))
(* -2 beta)
(*.f64 beta #s(literal -2 binary64))
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) beta)) #s(literal -2 binary64))
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) beta)) #s(literal -2 binary64))
(* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) beta)) #s(literal -2 binary64))

eval225.0ms (2.2%)

Compiler: Compiled 33474 to 3765 computations (88.8% saved)

prune143.0ms (1.4%)

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	1139	12	1151
Fresh	2	8	10
Picked	2	3	5
Done	0	1	1
Total	1143	24	1167

Accuracy

99.9%

Counts

1167 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.8%	(/.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))
	50.8%	(/.f64 (/.f64 (-.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 #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))
	50.8%	(/.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))
	50.8%	(/.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 #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))
	30.8%	(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 2 binary64))
✓	74.6%	(/.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))
▶	29.0%	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 alpha #s(literal 2 binary64)) beta)) #s(literal 2 binary64))
	51.8%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓	73.4%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	70.8%	(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	73.4%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
	27.5%	(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 beta beta) alpha))) alpha)
▶	30.3%	(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 beta alpha)))) alpha)
	25.7%	(/.f64 (+.f64 beta (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) alpha))) beta)
▶	21.3%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
	30.8%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
	30.8%	(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha)
	70.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))))
	26.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
	47.9%	(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
	29.7%	(.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (-.f64 #s(literal -2 binary64) (.f64 beta #s(literal 2 binary64))) (.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64)))))
	27.8%	(exp.f64 (.f64 (log.f64 (/.f64 alpha (+.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (-.f64 #s(literal -2 binary64) (.f64 beta #s(literal 2 binary64))) (.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64)))))) #s(literal -1 binary64)))
✓	33.5%	#s(literal 1 binary64)
▶	51.1%	#s(literal 1/2 binary64)

Compiler

Compiled 1298 to 484 computations (62.7% saved)

simplify203.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) beta)
✓	cost-diff	256	(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 beta alpha)))
✓	cost-diff	256	(+.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 beta alpha))))
✓	cost-diff	256	(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 beta alpha)))) alpha)
✓	cost-diff	0	(*.f64 alpha #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 alpha #s(literal 2 binary64)) beta)
✓	cost-diff	0	(-.f64 #s(literal 2 binary64) (/.f64 (*.f64 alpha #s(literal 2 binary64)) beta))
✓	cost-diff	256	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 alpha #s(literal 2 binary64)) beta)) #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 (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))
✓	cost-diff	128	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1 binary64))
✓	cost-diff	128	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))

Rules

2788×	`-lowering-.f32`
2788×	`-lowering-.f64`
1470×	`fma-define`
1276×	`fma-lowering-fma.f32`
1276×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	175
1	65	168
2	160	164
3	451	151
4	1429	148
5	5900	148
0	8075	148

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize189.0ms (1.8%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 beta alpha)))
✓	accuracy	100.0%	(-.f64 (-.f64 #s(literal -2 binary64) beta) beta)
✓	accuracy	99.9%	(*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 beta alpha))
✓	accuracy	98.7%	(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 beta alpha)))) alpha)
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 alpha #s(literal 2 binary64)) beta)) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (*.f64 alpha #s(literal 2 binary64)) beta)
✓	accuracy	100.0%	(-.f64 #s(literal 2 binary64) (/.f64 (*.f64 alpha #s(literal 2 binary64)) beta))
✓	accuracy	100.0%	(*.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	99.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
✓	accuracy	100.0%	(+.f64 beta (+.f64 alpha #s(literal 2 binary64)))
✓	accuracy	99.9%	(/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))
✓	accuracy	73.5%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1 binary64))

Results

85.0ms	62×	1	valid
51.0ms	182×	0	valid
12.0ms	12×	2	valid

Compiler

Compiled 183 to 29 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-mult: 53.0ms (52.7% of total)

ival-div: 23.0ms (22.9% of total)

ival-add: 11.0ms (10.9% of total)

ival-sub: 7.0ms (7% of total)

backward-pass: 5.0ms (5% of total)

const: 1.0ms (1% of total)

series26.0ms (0.3%)

Counts

18 → 360

Calls

Call 1

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

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

Calls

90 calls:

Time	Variable		Point	Expression
7.0ms	beta	@	-inf	(/ (+ (+ 1 beta) (* 1/2 (* (- (- -2 beta) beta) (/ beta alpha)))) alpha)
2.0ms	beta	@	inf	(/ (+ (+ 1 beta) (* 1/2 (* (- (- -2 beta) beta) (/ beta alpha)))) alpha)
1.0ms	alpha	@	0	(/ (+ (+ 1 beta) (* 1/2 (* (- (- -2 beta) beta) (/ beta alpha)))) alpha)
1.0ms	alpha	@	inf	(/ (+ (+ 1 beta) (* 1/2 (* (- (- -2 beta) beta) (/ beta alpha)))) alpha)
1.0ms	alpha	@	-inf	(/ (+ (+ 1 beta) (* 1/2 (* (- (- -2 beta) beta) (/ beta alpha)))) alpha)

rewrite410.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

4562×	`-lowering-.f32`
4562×	`-lowering-.f64`
2874×	`/-lowering-/.f32`
2874×	`/-lowering-/.f64`
2352×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	147
1	224	139
2	2183	137
0	8662	137

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 523

Calls

Call 1

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

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

simplify394.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

4110×	`+-lowering-+.f64`
4110×	`+-lowering-+.f32`
4036×	`-lowering-.f32`
4036×	`-lowering-.f64`
1518×	`--lowering--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	657	4611
1	2289	4174
0	8430	4174

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

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

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

eval115.0ms (1.1%)

Compiler: Compiled 20718 to 2807 computations (86.5% saved)

prune146.0ms (1.4%)

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	875	8	883
Fresh	5	10	15
Picked	3	2	5
Done	0	4	4
Total	883	24	907

Accuracy

99.9%

Counts

907 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.8%	(/.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))
	50.8%	(/.f64 (/.f64 (-.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 #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))
▶	50.8%	(/.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))
	30.8%	(/.f64 (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) #s(literal 2 binary64))
	50.8%	(/.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 #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))
✓	74.6%	(/.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))
	29.0%	(/.f64 (-.f64 beta alpha) beta)
	51.8%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓	73.4%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	70.8%	(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
	51.8%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
▶	27.5%	(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 beta beta) alpha))) alpha)
	30.2%	(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 beta #s(literal -2 binary64)) (/.f64 beta alpha)))) alpha)
✓	21.3%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
▶	30.8%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
▶	70.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))))
▶	22.3%	(/.f64 #s(literal 1 binary64) alpha)
	29.0%	(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
	26.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))
	47.9%	(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
	30.3%	(.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) beta))) (/.f64 alpha beta))))
	28.1%	(exp.f64 (.f64 (log.f64 (/.f64 alpha (+.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) beta))) (/.f64 alpha beta))))) #s(literal -1 binary64)))
✓	33.5%	#s(literal 1 binary64)
✓	51.1%	#s(literal 1/2 binary64)

Compiler

Compiled 1230 to 442 computations (64.1% saved)

simplify264.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

3100×	`fma-lowering-fma.f32`
3100×	`fma-lowering-fma.f64`
2618×	`+-lowering-+.f64`
2618×	`+-lowering-+.f32`
2230×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	259
1	77	241
2	215	236
3	642	236
4	3317	236
5	7867	236
0	8619	236

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize236.0ms (2.3%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(*.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 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	52.0%	(+.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))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) beta)
✓	accuracy	100.0%	(*.f64 beta beta)
✓	accuracy	98.8%	(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 beta beta) alpha))) alpha)
✓	accuracy	83.7%	(/.f64 (*.f64 beta beta) alpha)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) beta)
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) alpha)
✓	accuracy	100.0%	(+.f64 beta #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))))

Results

69.0ms	106×	1	valid
52.0ms	22×	2	valid
48.0ms	128×	0	valid

Compiler

Compiled 270 to 31 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

backward-pass: 36.0ms (34.2% of total)

ival-div: 34.0ms (32.3% of total)

ival-add: 24.0ms (22.8% of total)

ival-mult: 6.0ms (5.7% of total)

ival-sub: 4.0ms (3.8% of total)

const: 1.0ms (0.9% of total)

series84.0ms (0.8%)

Counts

19 → 360

Calls

Call 1

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

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

Calls

90 calls:

Time	Variable		Point	Expression
11.0ms	alpha	@	0	(/ (/ (+ (/ (- beta alpha) (* (/ (+ beta (+ alpha 2)) (- beta alpha)) (+ beta (+ alpha 2)))) -1) (+ (/ (- beta alpha) (+ beta (+ alpha 2))) -1)) 2)
4.0ms	beta	@	-inf	(/ (+ 1 beta) alpha)
3.0ms	beta	@	inf	(/ (/ (+ (/ (- beta alpha) (* (/ (+ beta (+ alpha 2)) (- beta alpha)) (+ beta (+ alpha 2)))) -1) (+ (/ (- beta alpha) (+ beta (+ alpha 2))) -1)) 2)
3.0ms	beta	@	0	(/ (/ (+ (/ (- beta alpha) (* (/ (+ beta (+ alpha 2)) (- beta alpha)) (+ beta (+ alpha 2)))) -1) (+ (/ (- beta alpha) (+ beta (+ alpha 2))) -1)) 2)
3.0ms	beta	@	-inf	(/ (/ (+ (/ (- beta alpha) (* (/ (+ beta (+ alpha 2)) (- beta alpha)) (+ beta (+ alpha 2)))) -1) (+ (/ (- beta alpha) (+ beta (+ alpha 2))) -1)) 2)

rewrite363.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3844×	`/-lowering-/.f32`
3844×	`/-lowering-/.f64`
2620×	`-lowering-.f32`
2620×	`-lowering-.f64`
2014×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	212
1	255	140
2	2830	137
0	9690	137

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 850

Calls

Call 1

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

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

simplify533.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

3774×	`-lowering-.f32`
3774×	`-lowering-.f64`
3368×	`+-lowering-+.f64`
3368×	`+-lowering-+.f32`
1980×	`--lowering--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1251	17421
1	4417	16922
0	8064	16922

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 360

Calls

Call 1

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

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

eval236.0ms (2.3%)

Compiler: Compiled 52678 to 4643 computations (91.2% saved)

prune166.0ms (1.6%)

Pruning

26 alts after pruning (17 fresh and 9 done)

	Pruned	Kept	Total
New	1247	8	1255
Fresh	4	9	13
Picked	2	3	5
Done	0	6	6
Total	1253	26	1279

Accuracy

99.9%

Counts

1279 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.2%	(/.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) alpha)) (.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) alpha)) (+.f64 beta (+.f64 #s(literal 2 binary64) alpha))))) (/.f64 (.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) alpha)) (.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) alpha)) (+.f64 beta (+.f64 #s(literal 2 binary64) alpha)))) (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (-.f64 beta alpha)))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 #s(literal 2 binary64) alpha))))) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 #s(literal 2 binary64) alpha)))) (-.f64 beta alpha))))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))
	50.8%	(/.f64 (/.f64 (-.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 #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))
	49.6%	(/.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 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 #s(literal 2 binary64) alpha)))))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 #s(literal 2 binary64) alpha)))))) #s(literal 2 binary64))
	50.8%	(/.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 #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))
✓	74.6%	(/.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))
	29.0%	(/.f64 (-.f64 beta alpha) beta)
	51.8%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))
✓	73.4%	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	70.8%	(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
	51.8%	(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha)) #s(literal 1 binary64)) #s(literal 2 binary64))
✓	21.3%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
	30.2%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 beta alpha)))) alpha)
✓	30.8%	(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
	12.0%	(/.f64 beta alpha)
	30.7%	(/.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 1 binary64) beta)))
✓	70.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))))
	26.8%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
✓	22.3%	(/.f64 #s(literal 1 binary64) alpha)
	29.0%	(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
	26.0%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta))
	47.9%	(+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64)))
	30.3%	(.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) beta))) (/.f64 alpha beta))))
	50.7%	(.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (.f64 alpha alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) alpha)))))
	28.1%	(exp.f64 (.f64 (log.f64 (/.f64 alpha (+.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) beta))) (/.f64 alpha beta))))) #s(literal -1 binary64)))
✓	33.5%	#s(literal 1 binary64)
✓	51.1%	#s(literal 1/2 binary64)

Compiler

Compiled 1620 to 456 computations (71.9% saved)

regimes84.0ms (0.8%)

Counts

44 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) alpha)
(/.f64 beta alpha)
(+.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 1 binary64) beta))
(-.f64 #s(literal 1 binary64) (/.f64 alpha beta))
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)
(/.f64 (-.f64 beta alpha) beta)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)))
(/.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 1 binary64) beta)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha)
(/.f64 (+.f64 beta (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) alpha))) beta)
(/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) 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 #s(literal 2 binary64) (/.f64 (*.f64 alpha #s(literal 2 binary64)) beta)) #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 #s(literal 2 binary64) (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 beta alpha)))) alpha)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 beta beta) alpha))) alpha)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha)) #s(literal 1 binary64)) #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))
(/.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 #s(literal 1 binary64) beta) (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 beta #s(literal -2 binary64)) (/.f64 beta alpha)))) alpha)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 2 binary64))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 beta alpha)))) alpha)
(.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) beta))) (/.f64 alpha beta))))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) 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))
(.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (-.f64 #s(literal -2 binary64) (.f64 beta #s(literal 2 binary64))) (.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) #s(literal 1/2 binary64)))))
(.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (.f64 alpha alpha) (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 #s(literal 2 binary64) 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)) (+.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 (-.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))
(/.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 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 #s(literal 2 binary64) alpha)))))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 #s(literal 2 binary64) alpha)))))) #s(literal 2 binary64))
(/.f64 (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) alpha)) (.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) alpha)) (+.f64 beta (+.f64 #s(literal 2 binary64) alpha))))) (/.f64 (.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) alpha)) (.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) alpha)) (+.f64 beta (+.f64 #s(literal 2 binary64) alpha)))) (.f64 (-.f64 beta alpha) (.f64 (-.f64 beta alpha) (-.f64 beta alpha)))))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 #s(literal 2 binary64) alpha))))) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) alpha)) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 #s(literal 2 binary64) alpha)))) (-.f64 beta alpha))))) (+.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 (/.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 #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))
(exp.f64 (.f64 (log.f64 (/.f64 alpha (+.f64 (+.f64 #s(literal 1 binary64) beta) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) beta))) (/.f64 alpha beta))))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 alpha (+.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 (-.f64 #s(literal -2 binary64) (.f64 beta #s(literal 2 binary64))) (.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) #s(literal 1/2 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 (+.f64 (+.f64 #s(literal 1 binary64) 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) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64))

Calls

5 calls:

33.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))
13.0ms	alpha
12.0ms	beta
12.0ms	(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
10.0ms	(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
95.6%	2	`alpha`
74.6%	1	`beta`
99.9%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.9%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.9%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 45 to 30 computations (33.3% saved)

regimes40.0ms (0.4%)

Counts

32 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

21.0ms

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

10.0ms

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

7.0ms

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

Results

Accuracy	Segments	Branch
99.6%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.6%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.6%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes44.0ms (0.4%)

Counts

28 → 2

Calls

Call 1

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

Outputs

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

28.0ms

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

7.0ms

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

7.0ms

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

Results

Accuracy	Segments	Branch
99.6%	2	`(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))`
99.6%	2	`(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))`
99.6%	2	`(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))`

Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

25 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

7.0ms

alpha

Results

Accuracy	Segments	Branch
94.5%	2	`alpha`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

alpha

Results

Accuracy	Segments	Branch
77.5%	2	`alpha`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

alpha

Results

Accuracy	Segments	Branch
77.5%	2	`alpha`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	alpha
3.0ms	beta

Results

Accuracy	Segments	Branch
70.2%	2	`beta`
69.0%	2	`alpha`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

beta

Results

Accuracy	Segments	Branch
70.0%	2	`beta`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

beta

Results

Accuracy	Segments	Branch
69.7%	2	`beta`

Compiler

Compiled 3 to 2 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	beta
1.0ms	alpha

Results

Accuracy	Segments	Branch
51.1%	1	`alpha`
51.1%	1	`beta`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999996760328003	-0.9994627573300837

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999996760328003	-0.9994627573300837

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999996760328003	-0.9994627573300837

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch25.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	1.674586994042092e-10	15.423309418317148

Results

11.0ms

160×

valid

Compiler

Compiled 260 to 194 computations (25.4% saved)

Precisions

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

ival-div: 2.0ms (33% of total)

ival-add: 2.0ms (33% of total)

ival-sub: 1.0ms (16.5% of total)

const: 0.0ms (0% of total)

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

bsearch45.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
43.0ms	1.674586994042092e-10	15.423309418317148

Results

38.0ms

160×

valid

Compiler

Compiled 180 to 144 computations (20% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-add: 29.0ms (88.1% of total)

ival-div: 2.0ms (6.1% of total)

ival-sub: 1.0ms (3% of total)

const: 0.0ms (0% of total)

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

bsearch27.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	1.674586994042092e-10	15.423309418317148

Results

11.0ms

160×

valid

Compiler

Compiled 140 to 114 computations (18.6% saved)

Precisions

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

ival-div: 2.0ms (32.9% of total)

ival-add: 2.0ms (32.9% of total)

ival-sub: 1.0ms (16.4% of total)

const: 0.0ms (0% of total)

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

bsearch24.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	5.561338271884471e-12	59.84122477172205

Results

10.0ms	59×	1	valid
7.0ms	101×	0	valid

Compiler

Compiled 180 to 154 computations (14.4% saved)

Precisions

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

ival-div: 4.0ms (37.7% of total)

ival-add: 4.0ms (37.7% of total)

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

backward-pass: 1.0ms (9.4% of total)

const: 0.0ms (0% of total)

bsearch27.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	5.561338271884471e-12	59.84122477172205

Results

11.0ms	49×	1	valid
9.0ms	111×	0	valid

Compiler

Compiled 140 to 124 computations (11.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-div: 4.0ms (39.2% of total)

ival-add: 3.0ms (29.4% of total)

const: 1.0ms (9.8% of total)

ival-sub: 1.0ms (9.8% of total)

backward-pass: 1.0ms (9.8% of total)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	59.84122477172205	471.75777916012214

Results

7.0ms	70×	0	valid
4.0ms	26×	1	valid

Compiler

Compiled 68 to 62 computations (8.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 4.0ms (51.5% of total)

ival-add: 2.0ms (25.8% of total)

ival-sub: 1.0ms (12.9% of total)

const: 0.0ms (0% of total)

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

40×	`+-commutative_binary64`
16×	`*-commutative_binary64`
14×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	197
1	93	197
2	105	197
3	111	197
4	114	197

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) 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) (/.f64 (+.f64 beta (+.f64 alpha #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 -4501347827556811/4503599627370496 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 beta alpha)))) alpha) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #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 -4501347827556811/4503599627370496 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 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 alpha #s(literal 4278419646001971/281474976710656 binary64)) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha))
(if (<=.f64 alpha #s(literal 7093169413108531/562949953421312 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha))
(if (<=.f64 alpha #s(literal 27/2 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 beta #s(literal 2 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)))
(if (<=.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64))) #s(literal 1 binary64))
(if (<=.f64 beta #s(literal 60 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)

Outputs
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) 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) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 (+.f64 (+.f64 beta #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))) alpha) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 beta alpha)))) alpha) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 beta alpha)))) alpha) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)))) #s(literal 2 binary64)))
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 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 beta alpha) #s(literal 2 binary64))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 beta alpha)))) alpha) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(if (<=.f64 alpha #s(literal 4278419646001971/281474976710656 binary64)) (/.f64 (+.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha))
(if (<=.f64 alpha #s(literal 4278419646001971/281474976710656 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal -1/2 binary64)) alpha))
(if (<=.f64 alpha #s(literal 7093169413108531/562949953421312 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha))
(if (<=.f64 alpha #s(literal 7093169413108531/562949953421312 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) #s(literal -1/2 binary64)) alpha))
(if (<=.f64 alpha #s(literal 27/2 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha))
(if (<=.f64 alpha #s(literal 27/2 binary64)) #s(literal 1/2 binary64) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))
(if (<=.f64 beta #s(literal 2 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)))
(if (<=.f64 beta #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 beta #s(literal 1/4 binary64))) #s(literal 1 binary64))
(if (<=.f64 beta #s(literal 60 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)

soundness1.8s (18%)

Rules

4752×	`+-lowering-+.f64`
4752×	`+-lowering-+.f32`
4144×	`/-lowering-/.f32`
4144×	`/-lowering-/.f64`
3944×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	822	5462
1	2843	4970
0	8350	4970
0	10	40
1	86	40
2	776	40
0	8515	40
0	433	2427
1	1518	2236
2	5636	2187
0	8150	2187
0	1251	17421
1	4417	16922
0	8064	16922

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

Compiler

Compiled 451 to 250 computations (44.6% saved)

preprocess72.0ms (0.7%)

Compiler: Compiled 428 to 150 computations (65% saved)

analyze3.0ms (0%)

sample1.3s (12.8%)

preprocess216.0ms (2.1%)

explain118.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify150.0ms (1.5%)

localize56.0ms (0.5%)

series12.0ms (0.1%)

rewrite621.0ms (6.1%)

simplify280.0ms (2.7%)

eval62.0ms (0.6%)

prune76.0ms (0.7%)

simplify196.0ms (1.9%)

localize214.0ms (2.1%)

series40.0ms (0.4%)

rewrite471.0ms (4.6%)

simplify391.0ms (3.8%)

eval225.0ms (2.2%)

prune143.0ms (1.4%)

simplify203.0ms (2%)

localize189.0ms (1.8%)

series26.0ms (0.3%)

rewrite410.0ms (4%)

simplify394.0ms (3.8%)

eval115.0ms (1.1%)

prune146.0ms (1.4%)

simplify264.0ms (2.6%)

localize236.0ms (2.3%)

series84.0ms (0.8%)

rewrite363.0ms (3.5%)

simplify533.0ms (5.2%)

eval236.0ms (2.3%)

prune166.0ms (1.6%)

regimes84.0ms (0.8%)

regimes40.0ms (0.4%)

regimes44.0ms (0.4%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch25.0ms (0.2%)

bsearch45.0ms (0.4%)

bsearch27.0ms (0.3%)

bsearch24.0ms (0.2%)

bsearch27.0ms (0.3%)

bsearch16.0ms (0.2%)

simplify12.0ms (0.1%)

soundness1.8s (18%)

preprocess72.0ms (0.7%)

end0.0ms (0%)

Profiling